Input: 0.08051075 0.010122349 0.009699847 0.006299587 0.0066613704 0.0036330149 0.00893833 0.0058872043 0.004295863 0.0026311527 0.0052901353 0.0034989272 0.0034660378 0.00223395 0.0023655077 0.002016374 0.0044375407 0.0045463284 0.0031573835 0.0037013236 0.0019885444 0.0020543232 0.0028057196 0.0027450009 0.0027955999 0.0024945354 0.0023275584 0.004007448 0.0024161066 0.0023806873 0.0021428715 0.0030536554 0.0034685677 0.0021656412 0.002340208 0.0021631112 0.0020973324 0.0023604478 0.0034913374 0.0021960007 0.0061629694 0.002109982 0.0039366093 0.008080675 0.0025957334 0.0023123785 0.0025173048 0.005707578 0.006911836 0.005694928 0.0058290157 0.005732877 0.0052319462 0.0055077113 0.005297725 0.005692398 0.0059909327 0.005707578 0.0020872126 0.0021479316 0.0017330189 0.0020391433 0.0019075858 0.0021555214 0.0028158396 0.00840704 0.0064058453 0.006261638 0.0063704257 0.0068384674 0.008040196 0.008141394 0.006069361 0.008419689 0.005912504 0.006071891 0.0061022504 0.0061275503 0.005801186 0.0059378035 0.0059453933 0.0056190295 0.0060567115 0.0065475227 0.0064943936 0.0060491217 0.006259108 0.006074421 0.0063982555 0.005684808 0.0059327437 0.0020796228 0.0020214338 0.0021529915 0.0021884108 0.0024211665 0.0020745627 0.0069320756 0.0063780155 0.0067220894 0.006039002 0.007858039 0.0061149006 0.0065880017 0.0060617714 0.007529145 0.0063350066 0.008004776 0.0063375365 0.0068283477 0.006916896 0.009221685 0.006291997 0.005973223 0.007088933 0.008996518 0.008207173 0.006636071 0.007597454 0.005851785 0.008075615 0.006534873 0.005912504 0.0035900057 0.0044274204 0.0025375446 0.0046677664 0.0020290236 0.002633683 0.0023199685 0.0019404752 0.0020998623 0.0017659083 0.001619171 0.0023123785 0.0019607148 0.001839277 0.002168171 0.0017507286 0.0038531208 0.0019505951 0.0019834845 0.0018746965 0.0018822863 0.0018746965 0.0019480651 0.001841807 0.002061913 0.0019404752 0.0018620467 0.0020366134 0.0016900097 0.0036557845 0.002170701 0.0020568531 0.0017583185 0.0037139733 0.0021454017 0.0017178393 0.0019151757 0.0020492633 0.0017583185 0.0031953328 0.0019961342 0.0020467334 0.001836747 0.0019657747 0.0018772264 0.0020821528 0.001735549 0.001953125 0.0035545863 0.003625425 0.0020897426 0.001783618 0.0018595167 0.0016950696 0.0019278255 0.0015179728 0.002008784 0.0017026595 0.0016798899 0.0018266273 0.0018190374 0.002185881 0.0019177056 0.0018797563 0.0019885444 0.0019809545 0.0019404752 0.002016374 0.00390625 0.003286411 0.002059383 0.0019303554 0.002451526 0.0023604478 0.0043211626 0.00222889 0.002180821 0.0020340835 0.0019202356 0.001955655 0.0021428715 0.0018595167 0.0021074521 0.004189605 0.0020821528 0.0031725632 0.004020098 0.002175761 0.0020897426 0.0035925356 0.0019936042 0.0020846827 0.0021403416 0.003939139 0.0020492633 0.0022465996 0.0019025259 0.0026438027 0.0020189038 0.003999858 0.001955655 0.0020770929 0.0019683046 0.001897466 0.003299061 0.001998664 0.0035495264 0.0021302218 0.0018873462 0.0038784205 0.0021175721 0.001783618 0.001998664 0.0018544567 0.0019910743 0.0021378116 0.0021555214 0.0019126458 0.0019885444 0.0019075858 0.0018240974 0.0021479316 0.0018165074 0.002011314 0.0016419406 0.0023503278 0.0021782909 0.0041465955 0.002064443 0.003238342 0.0021023923 0.0022718993 0.0028031897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037198153 2.7901786e-05 0.00018389813 0.00014077719 7.1022725e-05 6.594967e-05 0.00045657466 0.00025618912 4.8193993e-05 2.7901786e-05 3.2974836e-05 4.0584415e-05 2.6633523e-05 3.5511363e-05 3.42431e-05 2.6633523e-05 0.0123008825 0.0013507 0.0012530439 0.0004527699 0.00024857954 0.00031706574 0.00034116275 0.00056057225 0.00019404423 0.0002878957 0.00014711851 7.482752e-05 0.00011287541 0.000342431 8.877841e-05 0.000109070614 0.055056565 0.0065797484 0.0066330153 0.0025010146 0.0031592431 0.0025479402 0.0044046775 0.004764864 0.0012352881 0.0016005479 0.00089666195 0.00048828125 0.0005732549 0.001586597 0.00047813516 0.0010006595 0.028619623 0.003178267 0.00820693 0.02429992 0.036027547 0.02673752 0.038122717 0.02833807 0.0010932427 0.0008763697 0.00053267047 0.00036779625 0.00065569195 0.0009524655 0.0007368608 0.0012543121 0.014800629 0.0022410208 0.007433289 0.016593954 0.02548067 0.01977983 0.027305702 0.019622564 0.0010234882 0.00061510754 0.00059862016 0.00036018668 0.00055803574 0.00040203935 0.00031960226 0.0005275974 0.004040686 0.00089919847 0.0006303267 0.00035130884 0.0006962764 0.00044769683 0.0012606534 0.00072798296 0.00036272322 8.116883e-05 0.00020292208 0.00010653409 0.00025618912 0.00010399756 0.00012936283 9.25832e-05 0.0007609578 0.00029043222 0.00022575082 0.00016994723 8.2437095e-05 6.84862e-05 0.00046545253 0.0002637987 0.00016867898 1.268263e-06 2.0292207e-05 1.1414367e-05 1.9023944e-05 1.7755681e-05 1.9023944e-05 1.268263e-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 0.0015206473 0.00030565137 0.000414722 0.00021687297 0.0002511161 0.00021560471 0.00026633524 0.00032087055 0.00022448254 0.0002092634 0.00020038555 0.00018389813 0.00019911729 0.0002536526 0.00017755682 0.00023462865 0.035278004 0.03224939 0.028785765 0.02507356 0.03792233 0.02790559 0.033507507 0.039739754 0.029655794 0.030750304 0.032837864 0.030401532 0.036768213 0.03839793 0.034807477 0.03319171 2181.0 51.756992 112882.0 0.0016743147 0.0014085505 0.0016743147 0.0015768679 0.0014174093 0.0011959391 0.0012402332 0.0014262681 0.0018869261 0.001107351 0.0009478925 0.013553977 0.0013288213 0.0011693627 0.0012579508 0.013509682 0.014058929 0.013766588 0.0138728935 0.013580553 0.012809837 0.013624847 0.012854131 0.013846317 0.013819741 0.0137045765 0.0012136567 0.0010984922 0.0010364805 0.0012490919 0.0010984922 0.0011959391 0.0011339275 0.016255913 0.015157421 0.014997963 0.015467479 0.014820786 0.014997963 0.014758775 0.014501869 0.014856221 0.014670187 0.014625893 0.014962527 0.014696763 0.014041211 0.014262682 0.014767634 0.013580553 0.015635796 0.015724385 0.015467479 0.014820786 0.0144752925 0.014430999 0.014298117 0.013483106 0.013926047 0.001107351 0.0009301749 0.0010276218 0.0011870803 0.0018337733 0.0010984922 0.016805159 0.015857266 0.016220478 0.015183997 0.020038625 0.015254868 0.015316879 0.015068833 0.017575875 0.014838504 0.014661328 0.016025584 0.015777538 0.017283535 0.017124077 0.014997963 0.014608175 0.017460711 0.01695576 0.019002143 0.01545862 0.01457274 0.014253822 0.01405007 0.015556067 0.014147517 0.0009744689 0.0010541981 0.00091245724 0.0013022448 0.00045179922 6.1925516 0.0 0.0 0.0 28.0 395264.0 417792.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1127350800.0 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 8.0 0.0 4.0 0.0 4.0 0.0 392192.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392192.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5738077 0.0 4.275509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392004.0 0.0 1592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 400112.0 1592.0 401408.0 0.0 0.0 0.0 0.0 12.0 409600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.038726628 0.008479921 0.0079604555 0.0044905134 0.005616922 0.0036421975 0.0060813087 0.0040968647 0.0049127815 0.0038392919 0.0067325304 0.004369557 0.0035617398 0.0041357437 0.0033203666 0.0039975075 0.004228621 0.0036756764 0.003410544 0.003343046 0.0032431486 0.0032782478 0.003653537 0.003832272 0.003621138 0.0034035242 0.0037815135 0.003832812 0.0034343032 0.0033840847 0.0035396004 0.004898202 0.005002419 0.0033662652 0.0034305234 0.0033851648 0.0035687594 0.002987736 0.0032096696 0.003662177 0.0036351776 0.0029985355 0.0033954245 0.0036475973 0.0033500656 0.0038722309 0.003798793 0.003655697 0.0038857306 0.0030519941 0.0031400116 0.0031891502 0.0038598112 0.0035628197 0.0038063528 0.0036978158 0.0032080496 0.0031481113 0.0031751106 0.0033171265 0.0038257923 0.0036702766 0.0040029073 0.004829084 0.004821524 0.0032928272 0.003343046 0.0038441517 0.0029256376 0.0034370031 0.0033263064 0.0034424032 0.0033846246 0.003956469 0.0031194922 0.0037561343 0.0028030612 0.0038490116 0.0031065326 0.0039548487 0.003264208 0.002909438 0.0031518913 0.0032496285 0.0029267175 0.0030827732 0.0036762166 0.003730215 0.0032372088 0.0030590137 0.0041686827 0.0037507343 0.0034553627 0.003449963 0.003583879 0.0047005676 0.0039084097 0.003868451 0.0029315774 0.0038900503 0.0033192865 0.004586091 0.0033263064 0.0035968388 0.0036065585 0.005398228 0.0036357176 0.0043436377 0.003447803 0.004760506 0.0042453604 0.008343305 0.004047726 0.0032609683 0.0042728996 0.0046600685 0.004344178 0.0040320666 0.0034580627 0.0038225523 0.0042529204 0.003652997 0.0035714593 0.003934869 0.004023967 0.004075805 0.0043549775 0.0051320153 0.0053188503 0.004012627 0.003304707 0.003230729 0.003129212 0.0032517884 0.0034542826 0.0035282606 0.0029893557 0.0029942156 0.0030600938 0.0034310634 0.0033651853 0.0035342004 0.003233429 0.003873851 0.0031589111 0.0033257664 0.00319563 0.0036632568 0.0026308058 0.0032517884 0.0035719995 0.0036330177 0.003127592 0.002947237 0.003480742 0.0035104412 0.0028991783 0.0031054525 0.003620058 0.00425886 0.0035428402 0.003411084 0.0027809218 0.0032890474 0.0035401403 0.0036740566 0.0033144266 0.0036562372 0.0030984327 0.0034235036 0.002983416 0.0036438175 0.0031529712 0.0039343294 0.0034704823 0.004331218 0.0033311662 0.0033230665 0.0027766018 0.0033560055 0.0040304465 0.0043814364 0.0034548228 0.004190822 0.0037005157 0.0033889445 0.0035574199 0.0042464403 0.0037766537 0.0037906934 0.0040401663 0.0047318866 0.0048091044 0.003658937 0.003266368 0.003803113 0.0032220893 0.0033090268 0.0035028814 0.0038792507 0.003011495 0.0030627938 0.0028462599 0.0035450002 0.0032096696 0.003449963 0.002952097 0.004227541 0.0035757793 0.003048754 0.0042113415 0.0039548487 0.0036286977 0.003442943 0.003873851 0.004109824 0.0032636682 0.003050374 0.0043042186 0.003972128 0.0037069956 0.0036475973 0.003979148 0.004158963 0.0044910535 0.0039154296 0.003765854 0.004028287 0.0030773734 0.0035363603 0.0036632568 0.0036276178 0.0032847275 0.0036141183 0.0035584997 0.0037523543 0.003445103 0.0039937277 0.0036983558 0.0040012873 0.0049592205 0.004476474 0.0035611996 0.003970508 0.0037161754 0.003589279 0.0039343294 0.0040504257 0.005368529 0.0034683223 0.003655697 0.0047713057 0.005014299 0.004225921 0.0050531775 0.005904194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00036911576 7.484997e-05 1.8374723e-05 1.9185372e-05 1.3510826e-06 0.0 5.2151787e-05 0.0 0.0 2.7021653e-07 1.783429e-05 0.0 0.0 0.0 2.7021653e-07 0.0 0.0012746113 8.83608e-05 0.00022806274 5.7826335e-05 0.00034479628 0.0002831869 0.0017450582 0.0009238703 4.593681e-06 2.1617323e-06 5.4043303e-06 5.4043303e-06 2.4319486e-06 1.3510826e-06 8.1064957e-07 1.2700177e-05 0.018676285 0.0013824278 0.0017420859 0.0004396423 0.0007901131 0.0007752512 0.004672854 0.0026608221 0.00028696994 0.0001683449 0.00028345714 0.0007766023 0.00033479827 0.00031128942 0.0001815855 0.0002750804 0.011306129 0.0011368009 0.0013537848 0.0005323265 0.00052746263 0.00044450618 0.0026778458 0.0015091592 0.00029399557 0.00019212395 0.0002372501 0.0004120802 0.00024751833 0.00025265245 0.00022941382 0.00022968404 0.0035179488 0.00043423794 0.0004485594 0.00024778856 0.0004201867 0.00021995624 0.0005217881 0.0003942459 0.00015672558 8.5118205e-05 0.00013537848 0.00012159743 9.754816e-05 0.0001307848 0.00013159544 0.0001307848 0.0016396738 0.00030345315 0.0002126604 0.00011754419 0.0003861394 0.00011754419 0.000147268 9.97099e-05 0.00010700574 3.4587716e-05 8.5118205e-05 0.00025238222 9.052253e-05 4.2964428e-05 8.5658634e-05 0.00015159146 0.00052286894 0.0001291635 0.000111599424 7.4309544e-05 0.00011646332 7.268824e-05 0.00017050662 0.00010349293 2.8102519e-05 3.0534466e-05 4.6207024e-05 8.457777e-05 3.8911177e-05 4.4315508e-05 2.9994033e-05 5.647525e-05 0.00039613742 4.6207024e-05 7.052651e-05 0.0001602384 7.701171e-05 5.8096553e-05 0.00016077883 0.000107275955 4.809854e-05 4.2153777e-05 2.7291868e-05 6.0258284e-05 0.00014348497 4.188356e-05 5.7285903e-05 0.00016348099 0.0013994514 0.00047179803 0.0003861394 0.00051746465 0.0004123504 0.00023238621 0.0005685355 0.00047314912 0.00031966614 0.00039613742 0.00036560296 0.00024995027 0.0003683051 0.0002750804 0.00036695405 0.00039127353 0.074358724 0.05452618 0.052375257 0.055231716 0.053323988 0.053234547 0.056478497 0.058642928 0.054509968 0.052471995 0.05408789 0.058162484 0.05447727 0.058877748 0.05841865 0.06836505 7778.0 7.771021 60443.0 0.018860744 0.0066012605 0.006667439 0.0060552917 0.0062372815 0.0050791656 0.0065019936 0.006286915 0.0063365484 0.0069817845 0.0067997947 0.005989114 0.009992885 0.0091822045 0.013533412 0.006932151 0.011878961 0.00883477 0.007676654 0.007924822 0.0076270206 0.009033304 0.0076270206 0.008189534 0.0062703704 0.0065350826 0.0057244017 0.0052611553 0.006899062 0.011498436 0.008090267 0.00663435 0.0072134077 0.008272257 0.009728174 0.012375296 0.009430372 0.0071472297 0.0069156066 0.0069817845 0.0065019936 0.00847079 0.006419271 0.007792466 0.0064027268 0.0098770745 0.0054927785 0.007792466 0.010588489 0.0064358157 0.009695085 0.0121105835 0.0106215775 0.005674768 0.008123356 0.0068328837 0.0051122545 0.0053107888 0.0105554 0.0072464966 0.0069486955 0.0069817845 0.007163774 0.017289016 0.00645236 0.025263472 0.0113826245 0.01646179 0.015634565 0.04619228 0.009099483 0.012143672 0.008106811 0.024932582 0.006584716 0.009810897 0.018860744 0.018744932 0.02306305 0.026620122 0.010737389 0.006766706 0.023575932 0.023393942 0.036232483 0.017239382 0.008503879 0.010753933 0.01239184 0.012027861 0.0068328837 0.0069156066 0.0066012605 0.0070148734 0.0070479624 0.0073623084 6.3646917 1.0 1.0 0.0 66.0 1851904.0 1875968.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2606869500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 1846272.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1846272.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.899026 0.0 5.138689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1846176.0 0.0 4192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1854278.0 4192.0 1859584.0 0.0 0.0 0.0 0.0 12.0 1867776.0 56.0 1854132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.19150168 0.0060979244 0.0040752226 0.003009701 0.0058981394 0.0031409033 0.002755248 0.0029480758 0.0073890747 0.002663804 0.0025693781 0.0024670006 0.0052212547 0.002943106 0.0023606473 0.005863351 0.005200382 0.0027413326 0.0023596534 0.002274173 0.003493758 0.0027880487 0.0023129373 0.0022393845 0.0028884383 0.0024033873 0.0021906807 0.0022870945 0.0025673902 0.0021628498 0.0021678198 0.0023775445 0.0035931536 0.0022026082 0.0024163087 0.0022622456 0.003907244 0.0022582698 0.002184717 0.0022821247 0.002549499 0.002158874 0.0021817351 0.0026260337 0.0024520913 0.0030524412 0.0023417622 0.0021071883 0.0032243957 0.0026051607 0.002734375 0.0042561227 0.002784073 0.0026479007 0.0024848918 0.002459049 0.0029977735 0.002687659 0.0026936228 0.0036885734 0.0029928037 0.0031438852 0.0026588342 0.003915196 0.00418257 0.0032800573 0.0036686943 0.0026488947 0.00588323 0.014164877 0.002782085 0.0025594386 0.0031389154 0.0022910703 0.0025624204 0.0021767654 0.0025375716 0.0090658795 0.0023576654 0.002250318 0.0055075143 0.004022543 0.0032691236 0.0027244354 0.0028417222 0.0073771467 0.0032661417 0.0029530455 0.0025693781 0.0032651478 0.0021439646 0.0024063692 0.0023815203 0.0034838184 0.00275326 0.0027681696 0.0025465172 0.003097169 0.0024421518 0.0026826893 0.0038297153 0.0036508031 0.0035305344 0.0023517017 0.0033923744 0.0030206346 0.0038227576 0.0023099554 0.0035364982 0.0024520913 0.0030802719 0.0031886133 0.0028297948 0.0021529102 0.0038476065 0.0034043018 0.005588025 0.0050423425 0.0024401639 0.0023974236 0.0025902514 0.002408357 0.002275167 0.0021409828 0.002457061 0.0025663963 0.0023367924 0.0024660067 0.0035563773 0.0026131123 0.002182729 0.006966643 0.0028119036 0.0052749286 0.0021330311 0.0020982428 0.002873529 0.010086673 0.002687659 0.022386888 0.0023387803 0.0067598997 0.0020704118 0.002155892 0.0025574507 0.002068424 0.0021310432 0.0023159191 0.0023705869 0.0027711515 0.0020892972 0.002043575 0.002366611 0.0022652275 0.0020833334 0.0021727895 0.0023526957 0.0021658319 0.0020793574 0.0022334207 0.0024670006 0.002895396 0.0021936626 0.002506759 0.0023328164 0.0021767654 0.0021042065 0.0022115537 0.0024679946 0.002095261 0.0021280614 0.002044569 0.0024153148 0.0020853214 0.00220559 0.0019799618 0.0025226623 0.002184717 0.0020097806 0.002064448 0.002480916 0.0022135417 0.003260178 0.002345738 0.00289639 0.0022672154 0.002229445 0.002114146 0.002530614 0.0023427561 0.0022413724 0.0023964297 0.0045890985 0.003168734 0.0031786736 0.0036438454 0.0037989027 0.0025147106 0.0032770755 0.004660663 0.0031915952 0.0028188613 0.0023735687 0.0021529102 0.011259542 0.0021787533 0.0022721852 0.0022145356 0.0029361483 0.0023288406 0.0024441397 0.0021091762 0.0027403387 0.0022622456 0.002227457 0.0022026082 0.0030882235 0.002250318 0.0020833334 0.002255288 0.002782085 0.0022721852 0.0020972488 0.0021399888 0.003197559 0.0021976384 0.0022155296 0.0021171279 0.0031568066 0.002984852 0.0021111642 0.0021708016 0.008768686 0.003351622 0.0021926686 0.0039191716 0.005605916 0.0020286657 0.002136013 0.0023129373 0.0043704277 0.002254294 0.0022890824 0.0022582698 0.0037531806 0.002114146 0.0025763358 0.0026966047 0.003971851 0.0025196804 0.0023924538 0.0021896868 0.005332578 0.0023815203 0.004638796 0.021734852 0.117227316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009009063 3.484168e-06 1.990953e-06 6.570145e-05 2.9864298e-06 3.981906e-06 4.4796443e-06 1.990953e-06 1.990953e-06 3.981906e-06 2.9864298e-06 3.981906e-06 4.9773826e-06 4.9773826e-06 6.470598e-06 4.4796443e-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 0.000817784 1.4932149e-05 1.4932149e-05 1.443441e-05 9.954765e-06 1.8914054e-05 1.7918577e-05 1.2443457e-05 7.963812e-06 9.954765e-06 1.3936672e-05 1.3936672e-05 1.0452503e-05 1.6425363e-05 1.2443457e-05 1.2941196e-05 0.006228697 0.00012294136 0.00029665203 6.76924e-05 0.0005823538 8.013586e-05 0.0005370596 0.00024638046 2.3393699e-05 0.00011796397 2.5882391e-05 2.6877868e-05 2.5384652e-05 6.520371e-05 6.6199194e-05 0.00066149415 0.009330104 0.00036733085 0.00051466137 0.00021203651 0.0010347979 0.00028122214 0.0008785081 0.000509684 8.162908e-05 0.00016226267 5.126704e-05 5.3755735e-05 5.773764e-05 8.511324e-05 8.113134e-05 0.00056991033 0.0061157104 0.00012642553 0.00061072485 0.00014135767 0.0008506347 0.00020257948 0.0019785096 0.0010467436 6.570145e-05 0.00011398207 7.466074e-05 8.511324e-05 8.8099674e-05 7.3665266e-05 9.656123e-05 0.00056194654 0.0076751243 0.00037131275 0.0007719921 0.00044398254 0.0017356133 0.00055199175 0.0027465199 0.0015982377 0.00014882375 0.0001781903 0.00011248885 0.00029217236 0.0001040273 0.00012393683 0.000110995636 0.0003638467 0.0073705083 0.00029466106 0.00069434487 0.000785431 0.0017828986 0.0005853402 0.002622583 0.001677378 0.00017968351 0.00021502294 0.00017719483 0.00019312245 0.00026628998 0.0001353848 0.00012244361 0.00022696865 0.0032567016 0.0005475121 0.00069384713 0.006786164 0.0007525803 0.0005017202 0.0007724898 0.00092529546 0.0005529872 0.0005022179 0.00045742147 0.00047683326 0.00051167497 0.00049624505 0.00057439 0.00054054376 0.009350511 0.001188599 0.0005330777 0.0009342547 0.004647382 0.0027758863 0.0009810422 0.0006983268 0.007728382 0.0005430325 0.0005380551 0.0006166977 0.0035115436 0.00074710516 0.0026823115 0.0053372476 0.035656974 0.0053477 0.0033229007 0.0040212274 0.018234642 0.012657982 0.0045095086 0.005102813 0.030931447 0.0020646183 0.002316474 0.0032313168 0.016639888 0.0033219052 0.011550017 0.02049935 0.013713188 0.0028266557 0.001985478 0.0032019503 0.004853446 0.0047494187 0.0024354334 0.0036613627 0.008299288 0.00089045375 0.001304572 0.0017216767 0.004897247 0.0020989622 0.004082947 0.0075755767 0.03225792 0.031288825 0.031180814 0.03136846 0.031149456 0.031402804 0.031505838 0.031517785 0.031080272 0.031317692 0.031290315 0.03143715 0.031247512 0.03110665 0.031156424 0.03122113 3515.0 9.065719 31866.0 0.02359882 0.0045503043 0.0054917466 0.0044875415 0.012364276 0.0045503043 0.0057114167 0.006182138 0.0073118685 0.005083788 0.0048641185 0.0048955 0.006652859 0.0048955 0.009665474 0.004518923 0.01201908 0.010669679 0.011516977 0.0108893495 0.012583945 0.011328689 0.01092073 0.009979288 0.01092073 0.009822382 0.011862173 0.0132115735 0.014058871 0.011328689 0.011736647 0.01691458 0.028557083 0.010324484 0.0055545093 0.0073118685 0.009383041 0.006747003 0.0069352915 0.006056612 0.0076884455 0.0060252305 0.0047072116 0.005052407 0.0077512083 0.0046444484 0.0053348397 0.0048955 0.0119249355 0.005742798 0.006715622 0.008755413 0.009414423 0.0073118685 0.010795205 0.0091006085 0.008975083 0.0059310864 0.0059624678 0.0053348397 0.0073746312 0.004518923 0.005366221 0.012332894 0.0074687754 0.024477499 0.0116738845 0.01782464 0.018577794 0.035555135 0.010073433 0.00891232 0.009508567 0.022531852 0.0064645703 0.0060879933 0.022092512 0.010198958 0.022092512 0.031475555 0.012960522 0.005805561 0.024351973 0.024132304 0.033986066 0.01289776 0.006809766 0.0055545093 0.009822382 0.008598506 0.005742798 0.0049268813 0.0066842404 0.005052407 0.0050210254 0.005523128 6.3374205 0.0 0.0 0.0 14.0 1006080.0 1019904.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542294000.0 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 0.0 0.0 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 274432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -636928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 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 -274432.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1448355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3410153 0.0 6.1370115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -636676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273930.0 0.0 5848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 14084.0 380928.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.16219018 0.0068089054 0.0040314714 0.002466783 0.004438049 0.0018842333 0.0031770233 0.0023168575 0.0062447786 0.0012896135 0.001515137 0.0011079242 0.004002249 0.0010602783 0.00096244557 0.0027640928 0.003384759 0.001478291 0.00068737037 0.0005266451 0.0015233957 0.002002395 0.00054824457 0.00035575544 0.0012756374 0.000517116 0.0003976838 0.00037100213 0.0008309431 0.0004173774 0.00034241463 0.00041928323 0.004545411 0.00043452988 0.00051266904 0.00033288545 0.0018327759 0.0008163317 0.0002922277 0.00039831907 0.00086969504 0.00032272103 0.00067657063 0.011184697 0.0011339706 0.0005533268 0.0011066536 0.00041547156 0.0017031792 0.012255776 0.0027196235 0.0027380465 0.0008735067 0.00077885034 0.00063019537 0.00239182 0.0023454449 0.0013378946 0.0010590077 0.0020354295 0.00089129445 0.0012819902 0.0017584484 0.00061240763 0.0037792665 0.0020303472 0.00076360366 0.0032430922 0.0030309095 0.006689473 0.001569771 0.0007655095 0.001066631 0.001196863 0.00041547156 0.00039006045 0.0010914069 0.0042982884 0.001185428 0.002110392 0.0051794183 0.0017819536 0.0013347182 0.0025843093 0.0011797105 0.006519219 0.023414427 0.0027647282 0.000615584 0.0016809446 0.00027634576 0.0010831483 0.015853988 0.0039742966 0.0011905102 0.0014516093 0.00069118204 0.002583674 0.010327073 0.002762187 0.0023467154 0.0058483654 0.0022139424 0.00096562196 0.0038326296 0.003050603 0.0026675307 0.00048344626 0.0025487337 0.0011955925 0.002732329 0.0032272101 0.0019395025 0.0003144624 0.0036414112 0.0027767983 0.007188166 0.0058274013 0.0010850541 0.0007998145 0.0011994041 0.0008671539 0.011277448 0.0023289276 0.00070007594 0.0015678651 0.0005806437 0.0004624821 0.11196323 0.11015904 0.0011066536 0.005757521 0.001196863 0.0032748561 0.005372543 0.018019648 0.0019261617 0.00450793 0.0005329979 0.013661009 0.0006206662 0.006375646 0.00052092766 0.00032399158 0.0006009726 0.00042881237 0.00033860296 0.00057111453 0.0005742909 0.000459941 0.00035067325 0.00022425299 0.0005304568 0.00066386507 0.00025156993 0.00016517218 0.00059398456 0.00024775826 0.0018461167 0.0005202924 0.0005673029 0.00055713847 0.0003544849 0.00044342378 0.015245392 0.02195837 0.0016231342 0.00023124105 0.000558409 0.00022806466 0.0020062067 0.020358741 0.022030156 0.0017787772 0.0005596796 0.00021980605 0.00062765426 0.00033923824 0.00529758 0.002229189 0.00044660014 0.00033860296 0.00071849895 0.00048154042 0.0010926775 0.00035893184 0.00025919327 0.00035575544 0.0005685735 0.0003538496 0.00047582292 0.00030429798 0.003567719 0.00122418 0.0013696585 0.0019064681 0.0016212284 0.00035512017 0.0013760113 0.0019598315 0.0012927899 0.0012133803 0.0004402474 0.0003824371 0.0060478426 0.0002922277 0.00065179483 0.0009903978 0.0041362923 0.0023460803 0.00048090515 0.00042754182 0.0006587829 0.00027761632 0.0054633874 0.019948987 0.00086905976 0.00028714546 0.00028269854 0.0004764582 0.0006695826 0.00030810962 0.00027316937 0.00024267605 0.0012051216 0.00079092063 0.00026236963 0.00019757134 0.0010602783 0.000546974 0.00031890935 0.00026491075 0.007515334 0.0015716768 0.00031382713 0.0019045622 0.0026605425 0.00027126353 0.00063972455 0.0002718988 0.001755272 0.0006772059 0.00094846945 0.0006136782 0.0010196206 0.00024521715 0.0012699199 0.0007744034 0.00194522 0.0004707407 0.0003373324 0.0008277667 0.003803407 0.0020659228 0.0013099425 0.026919888 0.020180384 0.0 6.357829e-07 6.357829e-07 6.357829e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002463023 7.247925e-05 2.0345053e-05 1.3987224e-05 0.0 0.0 1.0172526e-05 0.0 1.0172526e-05 0.0 0.0 0.0 3.1789143e-06 1.2715658e-06 0.0 9.536743e-06 0.020122528 3.369649e-05 8.9645386e-05 1.335144e-05 0.0009606679 0.0006707509 2.670288e-05 2.0345053e-05 0.0001595815 1.1444092e-05 1.0808309e-05 2.5431316e-06 3.1789143e-06 3.8146973e-06 5.086263e-06 1.2715658e-06 0.005695025 7.661184e-05 6.739298e-05 5.2134197e-05 0.00012588501 9.059906e-05 0.0001675288 9.918213e-05 3.6239624e-05 8.90096e-06 5.722046e-06 1.9709269e-05 1.7166138e-05 7.947286e-06 6.993612e-06 3.33786e-05 0.0061680474 4.83195e-05 0.00022506714 0.00014336903 0.00019582112 0.0014489492 0.00021680196 0.0022589366 0.032997448 0.0002934138 0.0056969323 4.4504803e-05 0.00022983551 2.447764e-05 2.2888184e-05 0.00011539459 0.0074666343 0.00013287862 0.0009584427 0.00027561188 0.00067329407 0.0050932565 0.0004746119 0.0039431253 0.067754425 0.0004711151 0.014686902 9.918213e-05 0.00029850006 0.0003271103 1.9709269e-05 0.00018978119 0.005249977 8.837382e-05 0.00092633563 0.00028546652 0.00086085004 0.0038057964 0.00048446655 0.001543363 0.03318246 0.00014940898 0.009685199 0.00021012624 8.201599e-05 0.0010849634 4.7365826e-05 0.0002565384 0.023914972 0.00026194254 0.0027256012 0.00094954175 0.002339363 0.005498568 0.006415685 0.0052916207 0.04319827 0.00046126047 0.020741144 0.0022363663 0.0002969106 0.010469119 8.4877014e-05 0.0014168421 0.023394903 0.0002527237 0.0055570602 0.0051164627 0.0025389988 0.011296908 0.0084250765 0.0055974326 0.03563245 0.00029532114 0.018708548 0.0020023983 0.00018628438 0.008338611 0.00017325084 0.0007387797 0.013058345 0.00040245056 0.0036656063 0.0051495233 0.0019130707 0.010856628 0.010165851 0.004539808 0.023075422 0.0006602605 0.009436925 0.0015398661 0.00043964386 0.0055236816 0.00022093455 0.0011488596 0.010814349 0.00039704642 0.0030406315 0.0092732115 0.0013481776 0.009666443 0.008169174 0.002711932 0.0096947355 0.00067265827 0.0031312306 0.0015484492 0.00060685474 0.0039008458 0.0004917781 0.0015897751 0.0044428506 0.00043328604 0.00050957996 0.0035273235 0.0006875992 0.0005578995 0.0009441376 0.00068505603 0.0010156631 0.00045808157 0.00048033395 0.0003684362 0.0005423228 0.00038782755 0.00050036114 0.0007352829 0.0069618225 0.00081761676 0.00078646344 0.0011103948 0.0017630259 0.0016320547 0.0016558965 0.00095971423 0.0035161972 0.00065072376 0.0009396871 0.0005788803 0.00178051 0.00084940594 0.001537323 0.0044082007 0.02633349 0.0047314963 0.002445221 0.0032978058 0.010164578 0.009243965 0.004032453 0.0056365333 0.017944017 0.0016199747 0.0018002192 0.00223732 0.010701816 0.0026016235 0.0086768465 0.01808993 0.02818489 0.006556193 0.0036061604 0.0053393045 0.009278615 0.010323207 0.005338033 0.008393288 0.016600609 0.0018707911 0.0027179718 0.0026334126 0.008829753 0.0028966267 0.0072902045 0.015557607 0.0012543997 0.00078169507 0.0008172989 0.00089200336 0.00079250336 0.00075213116 0.0009667079 0.0009015401 0.0007270177 0.00074704486 0.00074323016 0.0007362366 0.0006914139 0.0007588069 0.0007324219 0.00072638196 8854.0 14.854754 131524.0 0.010933366 0.0004637937 0.0006462699 0.00034214288 0.0015966668 0.0005398254 0.0002509048 0.001695508 0.0012317144 0.00047900004 0.0026535082 0.0914586 0.0038700162 0.00087436516 0.003558286 0.0012241112 0.00464554 0.12700343 0.024459414 0.0024938413 0.0021212858 0.0014522064 0.0017411271 0.02080989 0.017700192 0.0025926826 0.0020224445 0.0020604604 0.0024558255 0.004432651 0.011838144 0.0018931906 0.003429032 0.004128524 0.0013305556 0.004523889 0.0038548098 0.0030716828 0.0023721906 0.0026383018 0.001475016 0.0034974606 0.00026611114 0.000608254 0.00256227 0.0023341747 0.0013685715 0.009336699 0.007694413 0.0012317144 0.00256227 0.006599556 0.0023189683 0.029561145 0.15079378 0.007473921 0.0012469207 0.000996016 0.0005778413 0.0052385875 0.096780814 0.005025699 0.0009275874 0.002775159 0.0013381589 0.011115842 0.07619142 0.014119096 0.006546334 0.023410177 0.0026763177 0.003611508 0.0060597304 0.012940604 0.0011100635 0.0011480794 0.009420334 0.0051929685 0.011214683 0.015198747 0.005466683 0.00025850796 0.014734954 0.010013382 0.019403303 0.005611143 0.0023721906 0.0020984763 0.0026230954 0.0034062224 0.0088424925 0.0020224445 0.0006462699 0.00034974606 0.00023569843 0.00047900004 4.8556814 0.0 23.0 0.0 15.0 1574115.0 401408.0 1.0 0.0 314.0 1.0 1.0 1.0 0.0 0.0 1419007400.0 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 0.0 0.0 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 226816.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226816.0 0.0 41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3714855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.504475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.890064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.510012 0.0 6.9663134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226608.0 0.0 41576.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 2.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 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 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 1.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 340.0 291052.0 41576.0 323584.0 0.0 0.0 6360.0 375808.0 12172.0 368640.0 28.0 235008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 272792.0 0.0 0.0 1368.0 233472.0 0.0 0.0 0.0 0.0


Input: 0.2798682 0.01589073 0.004730017 0.0074936226 0.0039859693 0.012383078 0.0030293367 0.0033482143 0.0058460883 0.0015943878 0.0036139456 0.002657313 0.003082483 0.0034013605 0.0013286564 0.010310374 0.0051020407 0.002072704 0.0019132653 0.0010097789 0.0018069728 0.004730017 0.0010629252 0.0011692176 0.0027104593 0.0019132653 0.0014880953 0.001647534 0.0017006802 0.002657313 0.0013286564 0.0027104593 0.012117347 0.00069090136 0.0021258504 0.0012223639 0.014934098 0.0019132653 0.0015943878 0.0011692176 0.0024447278 0.00095663266 0.0007971939 0.0031887756 0.00042517006 0.0012755102 0.0011160715 0.0023915817 0.0054740645 0.0023384353 0.0049957484 0.004730017 0.0023384353 0.0023915817 0.001647534 0.0009034864 0.0034545069 0.002285289 0.0012223639 0.004145408 0.0013818027 0.0023915817 0.0005314626 0.0011692176 0.0060586734 0.017219387 0.002232143 0.0023384353 0.011532738 0.010522959 0.0048894556 0.0012755102 0.045121174 0.008397109 0.00031887754 0.00047831633 0.008397109 0.004092262 0.002657313 0.0029761905 0.004464286 0.0008503401 0.003720238 0.004464286 0.005527211 0.004357993 0.0015412415 0.0031356292 0.002285289 0.00037202382 0.00042517006 0.0011692176 0.004730017 0.0006377551 0.0005846088 0.007121599 0.0019132653 0.00095663266 0.0006377551 0.00042517006 0.0010097789 0.002657313 0.0055803573 0.0006377551 0.0012223639 0.0018069728 0.00037202382 0.00037202382 0.00074404763 0.0005846088 0.0012755102 0.0014880953 0.0018069728 0.00037202382 0.0034013605 0.0017538265 0.011692177 0.0054740645 0.00069090136 0.0011692176 0.0011692176 0.0005846088 0.00037202382 0.000106292515 0.0009034864 0.00015943877 0.00037202382 0.0002657313 0.00866284 0.0031356292 0.0011692176 0.012808248 0.0030293367 0.004942602 0.00037202382 0.00021258503 0.0018069728 0.009725765 0.003667092 0.028114371 0.00047831633 0.009141156 0.00021258503 0.00031887754 0.001434949 0.00047831633 0.00015943877 0.00031887754 0.0002657313 0.0002657313 0.00031887754 0.0005314626 0.0008503401 0.000106292515 0.00015943877 0.00015943877 0.0005846088 0.00021258503 5.3146257e-05 0.00031887754 0.002285289 0.0010097789 0.00042517006 0.0005846088 0.0002657313 0.00037202382 0.00031887754 0.000106292515 0.0009034864 0.00031887754 0.002657313 0.0002657313 0.00031887754 5.3146257e-05 0.00015943877 0.0012223639 0.0015412415 0.00074404763 0.0019664115 0.00042517006 0.0005314626 0.0002657313 0.0031356292 0.0019664115 0.006802721 0.0031356292 0.0009034864 0.0006377551 0.00021258503 0.00021258503 0.00037202382 0.0009034864 0.0061118198 0.005952381 0.0025510204 0.009034864 0.003720238 0.0005846088 0.007227891 0.0033482143 0.0037733843 0.0027104593 0.0024978742 0.0015412415 0.0127551025 0.00069090136 0.00069090136 0.0017538265 0.001860119 0.001647534 0.0027104593 0.0008503401 0.0005846088 0.00021258503 0.00074404763 0.0005846088 0.0026041667 0.0011692176 0.0006377551 0.0015412415 0.00074404763 0.00037202382 0.0005846088 0.0002657313 0.0015943878 0.0012755102 0.0008503401 0.00074404763 0.00037202382 0.00042517006 0.00031887754 0.00021258503 0.011426446 0.0039859693 0.0013286564 0.004570578 0.003507653 0.0007971939 0.00047831633 0.0005314626 0.001434949 0.00047831633 0.00047831633 0.0005846088 0.00037202382 0.000106292515 0.00069090136 0.0008503401 0.002232143 0.002285289 0.0011160715 0.0012223639 0.0015943878 0.001434949 0.0028167516 0.02556335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04779412 0.0014073988 0.0012637868 0.0010340074 0.0005170037 0.00045955883 0.0007755055 0.00025850185 0.0020392924 0.00022977941 8.616728e-05 0.00057444855 0.00034466913 0.000114889706 5.7444853e-05 0.0018669578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030589385 0.001752068 0.0016084559 0.0012637868 0.0100815715 0.0061753215 0.0009765625 0.00045955883 0.0020680148 0.00048828125 0.00025850185 0.0006318934 0.00022977941 0.0003159467 5.7444853e-05 0.0018669578 0.022518381 0.0020680148 0.0014073988 0.002757353 0.0146484375 0.009191177 0.0011201747 0.0011776194 0.00080422795 0.00048828125 0.0003159467 0.00037339155 0.00040211398 0.00071806065 0.00022977941 0.00060317095 0.02450023 0.0010914522 0.0024701287 0.002556296 0.008099725 0.0017807904 0.001005285 0.001953125 0.0060891546 0.00028722428 0.00034466913 0.0007755055 0.0032169118 0.0010340074 0.0016371784 0.0019818475 0.04204963 0.006318934 0.007467831 0.007352941 0.012953814 0.0069508273 0.00485409 0.00496898 0.007209329 0.0007755055 0.00060317095 0.0028722426 0.004509421 0.0011201747 0.0033605238 0.0042796414 0.1478056 0.0220301 0.03400735 0.026596967 0.08128446 0.021627987 0.013241039 0.021139706 0.06792854 0.003963695 0.006146599 0.017233456 0.054831114 0.013413373 0.025620405 0.031364888 0.013269761 0.0024701287 0.0028722426 0.0022977942 0.008214614 0.0019818475 0.0006606158 0.002096737 0.0066348803 0.00034466913 0.00091911765 0.0025850183 0.005658318 0.0012925091 0.0033318014 0.004193474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 119.0 14.285714 1700.0 0.04 0.0017647059 0.002352941 0.0 0.010588235 0.0 0.0 0.0 0.0011764705 0.00058823527 0.0 0.0 0.0 0.00058823527 0.004705882 0.017058823 0.011176471 0.012941176 0.026470589 0.006470588 0.004117647 0.018235294 0.01 0.0017647059 0.006470588 0.0070588235 0.0 0.0035294117 0.0017647059 0.0 0.00058823527 0.00058823527 0.0011764705 0.04588235 0.01 0.014117647 0.03117647 0.07882353 0.049411766 0.007647059 0.008235294 0.048823528 0.0 0.00058823527 0.02764706 0.020588236 0.027058823 0.029411765 0.016470589 0.0070588235 0.03529412 0.03647059 0.040588234 0.021764705 0.010588235 0.011176471 0.004117647 0.0029411765 0.00058823527 0.0 0.005882353 0.0035294117 0.0029411765 0.060588237 0.0017647059 0.005882353 0.0011764705 0.0035294117 0.002352941 0.027058823 0.0011764705 0.00058823527 0.0029411765 0.017058823 0.00058823527 0.0011764705 0.0011764705 0.0035294117 0.011176471 0.009411764 0.0029411765 0.0 0.015294118 0.0135294115 0.006470588 0.0070588235 0.002352941 0.0011764705 0.005882353 0.0035294117 0.0 0.0 0.0 0.0 0.0 0.00058823527 5.429259 0.0 0.0 0.0 1.0 18816.0 18816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1346224000.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12896.0 672.0 0.0 5.0 0.0 1.0 1.0 1.0 768.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5195575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.353209 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.040913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3231378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 768.0 0.0 0.0 0.0 0.0 -124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12873.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 18688.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.26442316 0.013291022 0.0043938654 0.0062961904 0.013114258 0.0030639216 0.0044107 0.0038046497 0.015807815 0.0018770727 0.0022895238 0.001994916 0.009250686 0.0016582212 0.0015824649 0.004494874 0.009587381 0.004175014 0.0017255602 0.0011447619 0.008425784 0.004461204 0.0014982913 0.00079964986 0.0040066666 0.0008080672 0.0008585714 0.0011868487 0.0025757141 0.0008585714 0.0008080672 0.00090065825 0.0057490612 0.00064813724 0.0004545378 0.0011195098 0.005597549 0.0012878571 0.0008080672 0.00044612042 0.002112759 0.00079123245 0.0007828151 0.0018181512 0.0011615966 0.0013804481 0.0013299439 0.0013804481 0.0036363024 0.0014562045 0.0010185014 0.0045790477 0.0014057002 0.0010690056 0.0014309523 0.0008080672 0.0023484454 0.0025757141 0.0014814566 0.0044022826 0.0018686554 0.0013383613 0.0006565546 0.0006986414 0.010673221 0.00521035 0.0010100841 0.0018686554 0.0033080252 0.015740477 0.004292857 0.0017928991 0.001994916 0.0013467787 0.000597633 0.00066497194 0.0013636134 0.010075588 0.001860238 0.0012541877 0.011068837 0.0033416946 0.0013215266 0.004907325 0.0013383613 0.003577381 0.0070790052 0.007003249 0.0011363445 0.0036447197 0.00041245096 0.0029292437 0.00095957983 0.0034342855 0.0042844396 0.0029039916 0.00095957983 0.003695224 0.00081648456 0.00204542 0.002154846 0.0077944817 0.0021716806 0.0010942577 0.0042423527 0.002870322 0.007920742 0.00074914563 0.0028366526 0.0018686554 0.0026093838 0.002752479 0.0024242017 0.0007659804 0.004149762 0.003257521 0.013324692 0.016843151 0.0023484454 0.0013299439 0.0019444117 0.0009511624 0.00038719887 0.0005134594 0.0017339776 0.0034932073 0.0014730392 0.0010437535 0.0030639216 0.0013215266 0.00037036414 0.01262605 0.002272689 0.0065066246 0.0003282773 0.0004292857 0.00220535 0.011531793 0.0015908823 0.03646403 0.0008838235 0.015193347 0.00050504203 0.0005555462 0.0010942577 0.0002777731 0.00023568627 0.00018518207 0.0006060504 0.00044612042 0.00021885154 0.0002020168 0.0005807983 0.00042086834 0.00031985994 0.0002777731 0.0006986414 0.00046295515 0.00034511203 0.00036194676 0.0007238935 0.0007828151 0.0005302941 0.00067338935 0.00079123245 0.0024494538 0.00024410363 0.0005134594 0.0012289356 0.00031144256 0.00081648456 0.00056396355 0.0007828151 0.0003282773 0.00031985994 0.00054712885 0.0013720308 0.00026093837 0.00023568627 0.00021885154 0.0008417367 0.00064813724 0.0011110924 0.00067338935 0.0031480952 0.00046295515 0.00042086834 0.0004966246 0.00089224085 0.0004545378 0.00071547617 0.0007828151 0.007903907 0.0020538375 0.004789482 0.0044022826 0.0028534874 0.00039561623 0.0045790477 0.0036615545 0.0023400278 0.002735644 0.0006313025 0.0008417367 0.0020790896 0.0003787815 0.0027188095 0.0015740476 0.0014898739 0.0012121008 0.00087540614 0.0008417367 0.0019864985 0.00031985994 0.0007238935 0.00064813724 0.0020538375 0.0010185014 0.00042086834 0.0017087255 0.0010437535 0.0004292857 0.0004966246 0.0005807983 0.0016834734 0.00048820727 0.00047137254 0.00034511203 0.0012962745 0.0003787815 0.0005387115 0.0005387115 0.02256696 0.0012878571 0.00029460783 0.004478039 0.005302941 0.00041245096 0.00046295515 0.00044612042 0.0037373109 0.0024831232 0.0005555462 0.0014309523 0.0020285854 0.00041245096 0.0023063584 0.0020538375 0.004545378 0.0015908823 0.0009427451 0.0017760644 0.009696807 0.0016245517 0.0025420447 0.05638794 0.060869563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03828974 0.00020380435 0.00047129756 0.0003014606 0.0011039402 0.00027598505 0.0010912025 0.0006241508 0.0001613451 9.765625e-05 6.368886e-05 0.00012737772 0.00014436142 0.00023777173 4.670516e-05 0.00023777173 0.02102157 0.0019361413 0.0005519701 0.00029721466 0.00027598505 0.00014436142 0.0006878397 0.00034391985 0.000106148094 2.122962e-05 1.2737772e-05 1.2737772e-05 1.6983695e-05 4.2459237e-06 2.5475543e-05 0.00062839675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01227072 7.218071e-05 0.0003566576 0.00043733016 0.00063264265 0.00020380435 0.0017238451 0.0009213655 4.245924e-05 4.2459237e-06 2.122962e-05 1.2737772e-05 2.122962e-05 8.491847e-06 2.9721466e-05 0.00063264265 0.017404042 0.00033967392 0.00042034648 0.00084493886 0.0012652853 0.00023352582 0.0024159306 0.0013884171 0.00013586956 0.0001953125 0.000118885866 0.00012737772 0.00020805027 0.00022078805 0.00011039402 0.0006581182 0.02006199 0.0009977921 0.0010402513 0.0011081861 0.0019786006 0.00086192257 0.004577106 0.0025518003 0.00023352582 0.00019955842 0.0003226902 0.00020805027 0.00022078805 0.00016559103 5.0951086e-05 0.00020380435 0.012143343 0.00012313179 0.003855299 0.0012610394 0.0024159306 0.0014988112 0.008462126 0.0045473846 5.519701e-05 8.491848e-05 5.0951086e-05 4.245924e-05 7.218071e-05 9.341032e-05 2.9721466e-05 4.670516e-05 0.008279552 0.0020805027 0.0008534307 0.0009425951 0.00046705164 0.00038213315 0.00053498644 0.00058169157 0.00024626357 0.00019955842 0.0003693954 0.00023352582 0.00024201766 0.00022927989 0.00015709919 0.0015922214 0.022100033 0.0017578125 0.0011081861 0.0022206183 0.0028617526 0.002016814 0.004929518 0.0033033288 0.0019276495 0.00042034648 0.00077275815 0.00061141304 0.0014351223 0.00086192257 0.0011506454 0.004695992 0.009417459 0.003358526 0.0013756794 0.001456352 0.0012483016 0.0007387908 0.0019021739 0.0015455163 0.0005477242 0.0004415761 0.00040336276 0.00034816575 0.00054347824 0.0005901834 0.0004076087 0.0017620585 0.04764776 0.010767663 0.0055154553 0.007689368 0.01665676 0.018588655 0.0061693275 0.01410496 0.033338994 0.0017408289 0.0019446332 0.002793818 0.013391644 0.0041185464 0.012279212 0.029339334 0.077878736 0.022460938 0.011408797 0.014453125 0.034549084 0.03487602 0.014287534 0.026481828 0.059774116 0.0033712636 0.0075025475 0.008300781 0.027853262 0.009421705 0.02704229 0.055120584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 345.0 13.805798 4763.0 0.07096368 0.005038841 0.0033592274 0.0048288894 0.005668696 0.010707538 0.0037791308 0.0033592274 0.0048288894 0.004199034 0.005668696 0.004408986 0.0039890823 0.019735461 0.011337392 0.0048288894 0.016166281 0.023514591 0.010287634 0.009027923 0.005038841 0.0054587447 0.0054587447 0.004199034 0.013856813 0.007138358 0.005668696 0.022464832 0.009027923 0.005038841 0.0025194206 0.002099517 0.004408986 0.012807054 0.005878648 0.014906571 0.006718455 0.009237875 0.007138358 0.010287634 0.0039890823 0.008817972 0.0010497585 0.0025194206 0.005878648 0.008188116 0.004199034 0.005038841 0.01112744 0.0046189376 0.007138358 0.019105606 0.0073483097 0.006508503 0.010287634 0.015326475 0.001469662 0.002099517 0.0010497585 0.0025194206 0.0025194206 0.0023094688 0.001469662 0.0010497585 0.0010497585 0.033382323 0.005668696 0.016796136 0.018685702 0.07705228 0.008817972 0.005668696 0.016166281 0.027923578 0.005668696 0.0037791308 0.030023094 0.014276716 0.022464832 0.025194205 0.009237875 0.0010497585 0.036321647 0.02456435 0.056896914 0.011547344 0.005878648 0.002939324 0.0046189376 0.006718455 0.0023094688 0.00062985515 0.00083980686 0.00062985515 0.00041990343 0.002099517 5.8524265 0.0 0.0 0.0 2.0 118802.0 2510848.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1159316500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1784832.0 1024.0 4096.0 5.0 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 361472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784832.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9510508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361017.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -279740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784481.0 0.0 69024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2053.0 2148832.0 300.0 2140052.0 69024.0 2441216.0 0.0 0.0 5776.0 2366464.0 0.0 0.0 28.0 1804832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1588.0 1789952.0 64.0 2139916.0 0.0 0.0