Input: 0.13451232 0.030650064 0.012132039 0.0023330846 0.0067126174 0.0029730161 0.0018931314 0.0017664783 0.0075591938 0.00081991253 0.0008399104 0.0010265572 0.0040329034 0.0020731122 0.00080658065 0.004539516 0.032509867 0.0012665315 0.00093323376 0.00081991253 0.0020197846 0.0026530502 0.0008399104 0.00093323376 0.0020264506 0.0009998933 0.00080658065 0.0007665849 0.0025130652 0.0007799168 0.00067992747 0.0009932274 0.0042262156 0.00063993176 0.0014331804 0.0010932167 0.0065193046 0.003459631 0.00049994665 0.0008132466 0.0019864547 0.0007799168 0.0012931954 0.001353189 0.0017931421 0.0018198059 0.0017264825 0.00073992106 0.0069992533 0.0044261944 0.0039329138 0.0046595028 0.0047594924 0.0029063567 0.0029063567 0.0026263865 0.004359535 0.0027997014 0.0026597164 0.003292982 0.003919582 0.0027930355 0.0026730483 0.012531997 0.036742747 0.0101055885 0.0049194754 0.004672835 0.005706058 0.014005173 0.0032196566 0.0029330205 0.0045461818 0.0031929926 0.0014798421 0.00083324447 0.0021930994 0.0062460005 0.0031063354 0.0031929926 0.011865401 0.0028596949 0.002853029 0.003926248 0.008945713 0.0059860284 0.0067859427 0.0025197312 0.0056060688 0.0018398038 0.0053860922 0.0014665102 0.0010732189 0.0034796288 0.0024797355 0.007372547 0.0015998293 0.012925288 0.004946139 0.009132359 0.008585751 0.015498347 0.0028730268 0.0024664036 0.009012372 0.010612201 0.007212564 0.0012332018 0.0088790525 0.0037529331 0.0085924165 0.0087590655 0.0044395262 0.0006865934 0.0113321245 0.014191819 0.022170968 0.006652624 0.0015531677 0.0010398891 0.0017731442 0.002099776 0.00071992324 0.00044661903 0.00090656994 0.0012132039 0.00074658706 0.0007799168 0.0026263865 0.0006665956 0.00046661688 0.008225789 0.0028063674 0.0060660196 0.00067992747 0.00024664035 0.0013065273 0.0045995093 0.0014398465 0.02367081 0.0008599083 0.011572099 0.000299968 0.00035996162 0.0024930674 0.0001666489 0.00049994665 0.00060660194 0.0009932274 0.00048661476 0.00039329138 0.00017331485 0.0009465657 0.000599936 0.00026663824 0.00020664462 0.00086657424 0.00036662756 0.00017998081 0.00027997015 0.0015331698 0.0026730483 0.00033996374 0.00084657635 0.0010132253 0.0004066233 0.0003132999 0.00029330206 0.0014665102 0.00030663397 0.00027330418 0.00036662756 0.0007799168 0.00045328497 0.0003132999 0.00031996588 0.0015198379 0.00036662756 0.00035329565 0.00037329353 0.00091323594 0.00051994453 0.0010132253 0.0003132999 0.0019064633 0.00073992106 0.0003466297 0.00043328712 0.0010532209 0.0005599403 0.00045328497 0.00053327647 0.0048528155 0.0011865401 0.0018398038 0.0030463417 0.0051794476 0.0009598976 0.0030796714 0.0042662118 0.004179554 0.0017198166 0.0005599403 0.00071992324 0.019224616 0.00038662544 0.0014198485 0.0011798742 0.0024464058 0.0011665423 0.00071325724 0.00039329138 0.0016064954 0.00035329565 0.00063326576 0.0005399424 0.0019864547 0.00050661265 0.00051994453 0.0009598976 0.001799808 0.00041328924 0.00038662544 0.0012731975 0.0017331485 0.0005866041 0.00043995306 0.0004199552 0.0015398357 0.0010732189 0.00039995732 0.0004799488 0.013191926 0.0035529544 0.0003332978 0.0025197312 0.0033863054 0.0003332978 0.00036662756 0.0002866361 0.0035529544 0.0011065486 0.00056660624 0.00061326794 0.002559727 0.000299968 0.0021797675 0.0006265998 0.0030930035 0.0032396545 0.0013331912 0.0017598122 0.004679501 0.00073992106 0.0015465018 0.040435687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004408001 0.0009092134 0.00018521013 9.0921334e-05 4.377694e-05 4.0409483e-05 4.377694e-05 6.0614224e-05 9.0921334e-05 0.00011786099 2.6939655e-05 1.6837284e-05 2.3572198e-05 6.0614224e-05 3.0307112e-05 0.0007475754 0.018480603 0.0034011314 0.0011954472 0.0025457975 0.018197738 0.01031452 0.022373384 0.009893589 0.00016500539 0.0002828664 0.00013469828 0.00018521013 0.00013469828 0.00021551724 0.0001414332 0.0019935344 0.026687097 0.0042564655 0.0047144396 0.0079640355 0.02680159 0.014729257 0.03390019 0.019962285 0.0005152209 0.00047144396 0.0004141972 0.00045123923 0.00036031788 0.00043440194 0.00046134158 0.0027040679 0.017349139 0.0020440463 0.0050377157 0.0058324356 0.024131196 0.014964978 0.02922279 0.015965113 0.0002491918 0.00017847521 0.00025592672 0.00023572198 0.0004916487 0.00022561962 0.00035021553 0.0007071659 0.025417564 0.004525862 0.0051757814 0.026639951 0.004179014 0.0037816542 0.0068191 0.0044820854 0.0025626346 0.0022932382 0.002535695 0.0029667295 0.0031148975 0.0026434537 0.002683863 0.003626751 0.01880388 0.009058459 0.004593211 0.00507139 0.0045292294 0.0036132813 0.008405172 0.004643723 0.0019699624 0.000744208 0.0007778825 0.00094962283 0.0031586746 0.00086206896 0.0014917834 0.0071895206 0.07673087 0.01986126 0.0061792834 0.011439251 0.021356411 0.020198006 0.011237204 0.01212958 0.044908404 0.0036974677 0.005350889 0.004525862 0.037705414 0.008071794 0.017625269 0.03691406 0.025828395 0.0077215787 0.0030845904 0.0058728447 0.008661099 0.007320851 0.0049434267 0.00410493 0.01587756 0.001555765 0.0021686424 0.0019598599 0.009193158 0.0030542833 0.007926993 0.014863955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1440.0 31.679167 45618.0 0.008154675 0.00052610814 0.0007453198 0.00054802926 0.014709106 0.0014248762 0.00041650227 0.00072339864 0.0016002455 0.00087684684 0.0022359595 0.00041650227 0.0011399009 0.0041869436 0.004099259 0.00070147746 0.007979306 0.0061817705 0.0059625586 0.0028716736 0.0046692095 0.0024990134 0.0029812793 0.0027839888 0.004362313 0.0035512298 0.0042965496 0.0026743829 0.0038142838 0.0026524616 0.0034854664 0.036630277 0.10984699 0.029286684 0.012363541 0.0122539345 0.015388662 0.015805164 0.0028716736 0.0027839888 0.0091411285 0.006379061 0.00065763516 0.0003945811 0.0035293086 0.003200491 0.0046472885 0.008483494 0.0123854615 0.0053049233 0.0061817705 0.008395809 0.026393091 0.012122408 0.013262309 0.0014906396 0.014731027 0.0010741374 0.016703933 0.0017536937 0.0015125609 0.0016879302 0.00085492566 0.019444078 0.0007891622 0.040861063 0.014818712 0.027006883 0.019378316 0.04864308 0.007190144 0.0068832478 0.010522163 0.033627078 0.0050199484 0.0026086194 0.027028805 0.011311324 0.027269937 0.027949493 0.008286203 0.0012275856 0.034328554 0.044960324 0.05671007 0.006247534 0.0034416239 0.0020386688 0.003068964 0.005392608 0.0015125609 0.00017536937 0.0009206892 0.00013152703 0.00024113289 0.00017536937 5.5411425 2.0 1.0 0.0 2.0 150016.0 167936.0 1.0 381.0 451.0 1.0 1.0 0.0 1.0 0.0 1537260500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 71680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71680.0 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 -6.6410193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8504367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5383005 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3858094 0.0 4.873425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71460.0 0.0 480.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -4.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 -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 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -3.0 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 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 3.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -2.0 -1.0 1.0 1.0 1.0 -2.0 0.0 3.0 1.0 0.0 0.0 -2.0 -3.0 -1.0 1.0 0.0 1.0 0.0 -3.0 -2.0 1.0 2.0 1.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 -3.0 1.0 -1.0 2.0 -4.0 3.0 0.0 -1.0 -2.0 2.0 0.0 1.0 -2.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 2.0 0.0 0.0 -2.0 -2.0 0.0 1.0 3.0 -3.0 1.0 3.0 -3.0 3.0 -3.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 1.0 0.0 -2.0 -3.0 0.0 -3.0 0.0 -2.0 -3.0 1.0 2.0 1.0 2.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -3.0 0.0 -2.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 -3.0 3.0 0.0 -5.0 -2.0 0.0 -2.0 -1.0 0.0 2.0 1.0 0.0 -1.0 -2.0 0.0 -2.0 25344.0 99424.0 220.0 124768.0 480.0 151552.0 0.0 0.0 0.0 0.0 8676.0 155648.0 28.0 89632.0 0.0 0.0 0.0 0.0 24.0 89828.0 64.0 89664.0 0.0 0.0 1844.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.18408176 0.013318458 0.008605862 0.006984636 0.00914627 0.004137322 0.004323269 0.0029983963 0.01168561 0.0024521768 0.0024696093 0.0019989307 0.007170583 0.0025044743 0.0015166306 0.010511819 0.0068800407 0.0022023104 0.0017374428 0.0011796016 0.003980429 0.004247728 0.0012318993 0.0007960858 0.0030506938 0.0010575738 0.00060432794 0.0012667642 0.0024696093 0.0013074402 0.00092392444 0.0013423053 0.0070834206 0.00086581596 0.0009820329 0.0016386583 0.004921786 0.0010110871 0.0007844641 0.00081351836 0.0013771703 0.000639193 0.00070892315 0.0028763684 0.0012260884 0.0010866281 0.0013132511 0.0009704112 0.004021105 0.0017316319 0.00123771 0.007844641 0.0015050089 0.0015979825 0.00087743765 0.00067405804 0.001917579 0.0034283989 0.0010750064 0.00549706 0.0015166306 0.0016270367 0.0009704112 0.0011389257 0.004921786 0.010168979 0.010465332 0.0023824465 0.0035852916 0.014585222 0.0038467797 0.0022255538 0.0024115008 0.0018885247 0.0009471678 0.00076703157 0.0020570392 0.0066766613 0.0019466332 0.0008600051 0.01202845 0.0035620483 0.0019117681 0.0071240966 0.002928666 0.005183274 0.006240848 0.004927597 0.0016096041 0.0050903005 0.0006275713 0.0015573065 0.0017141994 0.004764893 0.0029460986 0.002330149 0.0015050089 0.00405597 0.000900681 0.0029925853 0.0031494782 0.008193292 0.0033528577 0.0015050089 0.0054273293 0.0040443484 0.0069613927 0.0006914906 0.0038932664 0.0018071729 0.003684076 0.0044859727 0.0038119145 0.0005868954 0.0061130095 0.0047939476 0.016851451 0.016276177 0.0021383911 0.0013423053 0.0015573065 0.00158055 0.0013132511 0.0005985171 0.002847314 0.0042302953 0.0014469005 0.0014817655 0.0043116473 0.0028356926 0.0008077075 0.013254538 0.0036434 0.0135625135 0.0015863607 0.00062176044 0.002667178 0.012516561 0.0023069056 0.030355856 0.0016328476 0.014556168 0.0010575738 0.0006798689 0.0015224415 0.0003951375 0.00034865073 0.00066824723 0.0013946029 0.0011679799 0.0003718941 0.00024405551 0.0011505474 0.0005345978 0.00030216397 0.00035446158 0.001202845 0.0008600051 0.00041257002 0.0014294679 0.0013364945 0.0012725751 0.00036608326 0.0009820329 0.00091811357 0.0008193292 0.0005404086 0.00076703157 0.0011796016 0.00036608326 0.00037770494 0.00044162426 0.00092392444 0.00036027242 0.0003951375 0.0004358134 0.0008483834 0.00027892058 0.00024986634 0.00030216397 0.00081351836 0.0010110871 0.002521907 0.0012144666 0.0021325801 0.00055784115 0.0004764893 0.0005113544 0.0007960858 0.00092392444 0.001016898 0.0008600051 0.008268833 0.0030274505 0.0030739373 0.0055900333 0.0038816447 0.0010110871 0.0034342096 0.0043407013 0.0024289333 0.0024579875 0.0011098714 0.0007437882 0.0032075867 0.00082514004 0.0013946029 0.0010808172 0.0016386583 0.0011737908 0.0017548753 0.0012086559 0.0014469005 0.00036608326 0.0013771703 0.0011912233 0.0021151477 0.0007554099 0.0006508147 0.0016270367 0.0016212258 0.001162169 0.000563652 0.0006275713 0.0032656952 0.00076122076 0.0006275713 0.0005345978 0.002707854 0.0011505474 0.00088905933 0.00077865325 0.017386049 0.0031785325 0.0008541943 0.005927062 0.0052471934 0.00054621947 0.0007844641 0.00072635565 0.006473282 0.0022197429 0.0027194757 0.0022604188 0.002254608 0.0007437882 0.004840434 0.0023359598 0.0045673246 0.0017141994 0.0013597378 0.0016502801 0.005258815 0.003387723 0.0047125956 0.06717918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00992936 0.00013742047 0.00015203968 0.00030407935 0.0004765859 0.0002485264 0.00028946015 0.00024560254 1.169536e-05 5.8476795e-05 3.216224e-05 0.0 0.0 3.216224e-05 2.6314558e-05 3.216224e-05 0.013347329 0.00048243356 0.00023098335 3.216224e-05 0.0006227779 0.0002485264 0.001075973 0.0012718703 0.00010525823 7.017216e-05 8.4791354e-05 2.339072e-05 3.800992e-05 4.38576e-05 0.000108182074 0.00017835422 0.016271168 0.00030700318 0.00032162238 0.00038302303 0.0012250888 0.000602311 0.0022396613 0.0021227077 2.9238397e-05 0.00012864896 8.4791354e-05 1.169536e-05 0.0 9.6486714e-05 5.8476795e-05 7.017216e-05 0.020089703 0.0008537612 0.0010379631 0.00026606943 0.002227966 0.000309927 0.00054091035 0.0005730726 0.00019004958 0.0003596323 0.00017835422 9.356288e-05 0.00011695359 0.00027191712 0.00064032094 0.0021899561 0.018326627 0.00057014875 0.0008128275 0.0005935395 0.0018654098 0.0005789203 0.0015964166 0.0012747941 0.00026899326 0.00037132765 0.0003011555 0.0002134403 0.00024560254 0.00039179454 0.00040641375 0.0021227077 0.007356381 0.00038302303 0.0012864895 0.00062862557 0.0014385292 0.00075142685 0.005932471 0.003324406 0.00014911583 6.7248315e-05 4.9705275e-05 5.8476795e-05 8.77152e-05 7.017216e-05 8.186752e-05 0.0022864428 0.012592978 0.0008800758 0.0019911348 0.0010262678 0.0030437172 0.0017075224 0.010666167 0.0057365736 0.00046489053 0.00032162238 0.00030407935 0.00024560254 0.00030700318 0.00032747007 0.00031869853 0.0019823634 0.016826699 0.00068125466 0.0012484796 0.0017133701 0.00427173 0.002099317 0.004818488 0.0029150683 0.0011402975 0.00039471837 0.00045027133 0.0005145958 0.0008888473 0.0004619667 0.00080405595 0.0026870088 0.010286069 0.00065494014 0.0011607644 0.0013537378 0.0034208926 0.0022367374 0.0040465943 0.002827353 0.0040465943 0.0005526057 0.0005643011 0.0007923606 0.0013771285 0.0006344732 0.0014882345 0.0064733815 0.06881257 0.01244971 0.008066874 0.010540443 0.021259239 0.025185956 0.009546337 0.018659946 0.047532864 0.004350674 0.003356568 0.0056664017 0.017563505 0.0067306794 0.016978737 0.046652786 0.07774782 0.016434904 0.011402975 0.019101445 0.02978808 0.03038162 0.015180577 0.027767707 0.052634966 0.005420799 0.0057892026 0.0066400403 0.025235662 0.009984913 0.024370205 0.049304713 0.0010730493 0.00038302303 0.00042395678 0.00061108253 0.00021636415 0.00036255614 0.0006724832 0.00042395678 0.00029823167 0.00024560254 0.00026606943 0.00020759263 0.00016958271 0.0002134403 0.00016665887 0.00025437406 990.0 14.871717 14723.0 0.035794336 0.0006112885 0.0019017863 0.0006792094 0.0029885215 0.0030564424 0.0003396047 0.0037356517 0.0018338654 0.0012904978 0.00040752563 0.0014942607 0.001086735 0.0037356517 0.007742987 0.0050940705 0.014670923 0.007675066 0.0063166474 0.004754466 0.0018338654 0.0025130748 0.0030564424 0.0012904978 0.0019017863 0.0028526795 0.002037628 0.001018814 0.0019697072 0.00095089315 0.0013584188 0.0026489166 0.0075392243 0.019017864 0.0042110984 0.0129729 0.013176662 0.008625959 0.007810908 0.008150512 0.004822387 0.012769137 0.00095089315 0.0027168377 0.0066562523 0.00652041 0.008286355 0.0038714935 0.017659444 0.0016301025 0.009101406 0.029409766 0.012157848 0.0046865446 0.013516267 0.011274876 0.0053657545 0.0025809957 0.0014942607 0.0013584188 0.0042110984 0.001018814 0.001086735 0.0046186238 0.0035998097 0.039529987 0.006927936 0.030088976 0.020715887 0.07512056 0.009780616 0.013244583 0.012633295 0.04102425 0.0037356517 0.0027168377 0.03036066 0.0139917135 0.03681315 0.045303266 0.016436867 0.0011546559 0.052434966 0.040480882 0.06160429 0.01949331 0.0075392243 0.004890308 0.006044964 0.011682401 0.010459824 0.00074713037 0.00095089315 0.0005433675 0.001086735 0.00095089315 5.6446686 0.0 14.0 7.0 3.0 172092.0 180224.0 0.0 0.0 171.0 0.0 1.0 1.0 0.0 0.0 1343079000.0 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 9.0 0.0 5.0 0.0 5.0 0.0 122880.0 1024.0 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 22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122880.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3916802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.140956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6320086 0.0 4.165631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122480.0 0.0 3200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 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 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 145012.0 3200.0 176128.0 0.0 0.0 7736.0 164352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 139072.0 0.0 0.0 712.0 126976.0 0.0 0.0 0.0 0.0


Input: 0.19538909 0.019224877 0.01305913 0.0062806373 0.010569853 0.00513174 0.010684743 0.005591299 0.005591299 0.00658701 0.009765625 0.004442402 0.0034849877 0.003370098 0.0037913602 0.0017999387 0.0040594363 0.004365809 0.00658701 0.003714767 0.003293505 0.0024509805 0.0026041667 0.0021063113 0.0033318014 0.0022594975 0.003714767 0.0023743873 0.0027956495 0.0016467525 0.002221201 0.0023743873 0.009650735 0.0027956495 0.0032552083 0.0028722426 0.0031403187 0.0026424632 0.0027956495 0.002489277 0.0060508577 0.0032169118 0.0034083945 0.0031403187 0.0038679533 0.0040977327 0.0077742036 0.0018765319 0.004978554 0.0037913602 0.0025275736 0.0021063113 0.0029105393 0.0026424632 0.0015318628 0.002144608 0.0020680148 0.0020297181 0.0021063113 0.0016467525 0.002221201 0.0024126838 0.0023743873 0.001685049 0.002757353 0.004250919 0.0032169118 0.004289216 0.003370098 0.0034466912 0.0039828434 0.0026424632 0.0034083945 0.004250919 0.0028722426 0.0026424632 0.0023743873 0.004250919 0.0019148284 0.0024509805 0.0039445464 0.0026041667 0.0037530637 0.0058210786 0.004442402 0.0020680148 0.0022977942 0.001953125 0.0022977942 0.0017616422 0.001953125 0.0008808211 0.002489277 0.0016467525 0.0013020834 0.0053615198 0.0017999387 0.010110294 0.0056678923 0.008386948 0.006127451 0.025811886 0.0033318014 0.005859375 0.0032169118 0.013863358 0.002489277 0.0023743873 0.008386948 0.008195465 0.01148897 0.014476103 0.004633885 0.0021063113 0.015548407 0.015203738 0.017616421 0.0075827204 0.0030254289 0.0021063113 0.0029871324 0.0057061887 0.0015318628 0.002489277 0.0020297181 0.0013020834 0.002144608 0.0018382353 0.00524663 0.0023360907 0.0019148284 0.0021063113 0.0016467525 0.0018765319 0.0015701593 0.002144608 0.0014935662 0.0023360907 0.0019148284 0.0023360907 0.0017616422 0.0013403799 0.0019914217 0.001685049 0.0025275736 0.0029488357 0.0028339461 0.001685049 0.0027190563 0.0022977942 0.0013403799 0.0017616422 0.0017999387 0.0018765319 0.0015701593 0.001953125 0.0017233456 0.0017233456 0.0013020834 0.0014935662 0.0021063113 0.0020680148 0.0017233456 0.0022594975 0.002221201 0.002489277 0.0016467525 0.0015318628 0.0019914217 0.0026041667 0.0015701593 0.0014169731 0.0016467525 0.0014935662 0.0011488971 0.001072304 0.0017233456 0.0020680148 0.0017233456 0.0014552696 0.0020297181 0.002144608 0.0011871937 0.0008808211 0.0015318628 0.0018765319 0.0010340074 0.001953125 0.0014552696 0.0010340074 0.0016084559 0.0013020834 0.0019148284 0.0016084559 0.002221201 0.0021063113 0.0020680148 0.0019148284 0.0017999387 0.001953125 0.0014169731 0.0019914217 0.00256587 0.0015701593 0.0022977942 0.0013403799 0.0013020834 0.00091911765 0.0022594975 0.0018382353 0.002221201 0.0015701593 0.0015701593 0.003714767 0.0014552696 0.001072304 0.0013786765 0.0018382353 0.0014552696 0.001072304 0.0011488971 0.0012637868 0.001685049 0.0008808211 0.0020297181 0.0014935662 0.0020680148 0.001685049 0.0014935662 0.0017999387 0.0018765319 0.0013020834 0.0022594975 0.0020680148 0.0020297181 0.0013786765 0.0013786765 0.0013403799 0.0012637868 0.0015701593 0.0015701593 0.0022594975 0.0014552696 0.0014935662 0.0013786765 0.0012254902 0.0014552696 0.0012637868 0.0011106005 0.0019148284 0.0017233456 0.0016467525 0.0013020834 0.0014552696 0.0021829044 0.0017999387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.057800293 0.0026041667 0.0068359375 0.002746582 0.008829753 0.0063680015 0.050028484 0.029500326 0.0005289714 8.138021e-05 0.00012207031 0.00020345052 0.00012207031 0.00030517578 0.00020345052 0.000386556 0.05489095 0.0056355796 0.006164551 0.0021972656 0.0013631185 0.0013427734 0.0021972656 0.0026245117 0.0011189779 0.0006713867 0.00069173175 0.0005086263 0.0012817383 0.0007527669 0.00091552734 0.0009765625 0.035746258 0.003885905 0.0041300454 0.00083414715 0.0033772786 0.0029500325 0.015482585 0.009277344 0.0011800131 0.0008951823 0.0005086263 0.00079345703 0.0010986328 0.0018310547 0.00071207684 0.0006306966 0.077555336 0.008036296 0.0068969727 0.0036621094 0.0063680015 0.005452474 0.025594076 0.016133627 0.0037231445 0.0017293295 0.0016479492 0.0017903646 0.0020955403 0.0024617512 0.0019124349 0.0016072592 0.012756348 0.0036824543 0.004536947 0.0022583008 0.0016276041 0.0016886393 0.0081380205 0.0049235024 0.00083414715 0.00022379558 8.138021e-05 0.00022379558 0.00018310547 0.00012207031 8.138021e-05 0.00030517578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007181803 0.003092448 0.0044555664 0.0024617512 0.002746582 0.0021158855 0.00592041 0.004211426 0.0011393229 0.0013834635 0.00095621747 0.0009969076 0.0014444987 0.0009765625 0.0010782877 0.0015055338 0.034566242 0.025268555 0.030192057 0.025655111 0.030192057 0.026997885 0.025878906 0.022705078 0.027018229 0.028523764 0.026713053 0.021891275 0.024495443 0.021525064 0.023701986 0.021341959 328.0 16.594513 5443.0 0.015800111 0.0012860554 0.005511666 0.0016534999 0.0016534999 0.00073488883 0.0011023333 0.00055116665 0.0011023333 0.0012860554 0.0011023333 0.0011023333 0.0042256108 0.011941943 0.02406761 0.0014697777 0.007716333 0.006797722 0.00091861107 0.003490722 0.0029395553 0.002755833 0.0022046666 0.0023883888 0.0020209444 0.0018372221 0.0023883888 0.00036744442 0.0029395553 0.0047767777 0.0031232776 0.00036744442 0.0011023333 0.011758221 0.0058791107 0.011023332 0.006981444 0.006981444 0.0075326106 0.0029395553 0.0033069998 0.007165166 0.0012860554 0.0029395553 0.0020209444 0.010655888 0.0020209444 0.0031232776 0.006981444 0.0011023333 0.006981444 0.017269887 0.0084512215 0.0023883888 0.0036744443 0.0025721109 0.00091861107 0.00091861107 0.00055116665 0.00036744442 0.0022046666 0.00018372221 0.0 0.016718721 0.00091861107 0.036009554 0.018923387 0.02737461 0.019658277 0.10361933 0.0066139996 0.019658277 0.0066139996 0.050156165 0.0038581665 0.0036744443 0.029211832 0.02994672 0.04170494 0.05144222 0.014330332 0.0016534999 0.05640272 0.05548411 0.07385633 0.027558332 0.0080837775 0.0047767777 0.005511666 0.018004777 0.0018372221 0.00055116665 0.00055116665 0.00091861107 0.00073488883 0.00073488883 5.360124 1.0 0.0 0.0 1.0 26112.0 49152.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1525244800.0 0.0 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 23552.0 512.0 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 -23552.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1327906 0.0 4.19314 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 -23116.0 0.0 1488.0 0.0 0.0 0.0 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 31220.0 1488.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 28.0 30908.0 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: 0.12240172 0.0028074475 0.0012359831 0.0012142516 0.0019436175 0.000797277 0.00079863524 0.00077011256 0.002203038 0.00064108137 0.00061799155 0.0006261409 0.0015076278 0.000571812 0.0004617959 0.0018852139 0.0015918376 0.00050797546 0.0004020341 0.0004943932 0.00080950104 0.00066824583 0.0004848857 0.0003517798 0.00068726094 0.00048352746 0.00034906337 0.00041425807 0.00067911163 0.0030587188 0.00034363047 0.0004740199 0.0011395493 0.00048760214 0.00041018342 0.0005677373 0.0008787704 0.00045772124 0.00039524297 0.0005025426 0.00059626 0.00048216924 0.00039388472 0.00057996134 0.0005147666 0.0011626391 0.000456363 0.00031239135 0.00095211447 0.00061934977 0.00085024774 0.0016461666 0.00071985833 0.00081085926 0.000620708 0.00051069196 0.0008040682 0.00075924676 0.000632932 0.0010838622 0.0004916768 0.0007524557 0.00045907946 0.0008461731 0.00081085926 0.0007470228 0.00057045376 0.0006723205 0.00067639514 0.0020332602 0.0009697714 0.0005935436 0.00057588663 0.0005650209 0.00036536204 0.00033683935 0.0005650209 0.0010499066 0.0005745284 0.00034906337 0.0015103442 0.000736157 0.00046043767 0.00079048594 0.00048216924 0.0010499066 0.0009969359 0.00092495 0.00057860307 0.0011762213 0.00040610874 0.00055822975 0.00050933374 0.001106952 0.00089914375 0.0007266494 0.00080270995 0.00089778553 0.0005134084 0.00065058895 0.0006437978 0.0012631476 0.0013527903 0.0003857354 0.000797277 0.00075788854 0.0011218924 0.0004740199 0.0008013517 0.00059626 0.0007769037 0.00083259086 0.0007782619 0.000431915 0.0009656967 0.0008787704 0.0024678917 0.002543952 0.0006437978 0.00048624392 0.0005527969 0.00051069196 0.0004943932 0.0003626456 0.0006560218 0.0024230701 0.00044821366 0.000632932 0.0009072931 0.0006967685 0.00036943672 0.002823746 0.00076875434 0.0017466751 0.0006614547 0.0008271579 0.00066824583 0.0021093206 0.0005921853 0.005743926 0.0004373479 0.0016271514 0.00030288377 0.0004794528 0.00057724485 0.00039388472 0.00033412292 0.0003449887 0.0006139169 0.00041289986 0.00029473443 0.00031782425 0.00046587057 0.00034906337 0.00042919855 0.00037486962 0.00041561632 0.0003735114 0.00032325712 0.00031510778 0.00066824583 0.00059761823 0.00037215315 0.00037622784 0.00036400382 0.00033004823 0.0002811522 0.00028794332 0.00050661725 0.000316466 0.00038166074 0.00045500477 0.0004264821 0.00028930153 0.00033819757 0.00032461536 0.00062749913 0.00034227225 0.000316466 0.00045907946 0.0004971097 0.00041289986 0.0003966012 0.0006030511 0.00062206626 0.00038166074 0.00040610874 0.0003327647 0.0003911683 0.000608484 0.00040067584 0.0003911683 0.0019639907 0.0010784293 0.0007741872 0.0013514321 0.0008556806 0.00037079494 0.0008176504 0.0008896362 0.0007959188 0.0008651882 0.00039931762 0.000316466 0.0011721466 0.0005256324 0.00044821366 0.00047673634 0.00069812674 0.0005134084 0.0005623044 0.000456363 0.00050797546 0.00037215315 0.00047130347 0.000456363 0.0005908271 0.00071035075 0.00036943672 0.00063836493 0.00041833275 0.00059626 0.0003517798 0.00042376565 0.00078776944 0.0005134084 0.00030560023 0.00035585448 0.00054057286 0.0005229159 0.00041154164 0.0004740199 0.0027286704 0.0009072931 0.0004088252 0.0012549983 0.0011205341 0.0004278403 0.00037622784 0.00033412292 0.0010499066 0.00046587057 0.00048216924 0.00055822975 0.00069948495 0.00038030252 0.0008067846 0.0008054264 0.0012740134 0.00049846794 0.0004971097 0.00041018342 0.0013134019 0.00046043767 0.0010363243 0.68945587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052167205 0.00021285798 0.0003209871 0.00012853085 0.00025978195 0.00014485224 0.00037063131 0.000260462 0.00014757247 5.304448e-05 4.2843618e-05 4.8964135e-05 5.032425e-05 8.500718e-05 9.7248216e-05 0.00091671746 0.00087455387 7.2766146e-05 2.1761838e-05 0.00012037017 8.9767585e-05 1.8361552e-05 3.2642758e-05 2.1081782e-05 1.4281207e-05 1.8361552e-05 1.8361552e-05 2.7882355e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 2.0401723e-05 0.0030827005 0.00025298138 0.00030806602 0.000119690114 0.00031894696 0.00017205454 0.0013662354 0.0010398078 8.5687236e-05 6.052511e-05 2.1761838e-05 3.0602587e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.8361552e-05 0.003386006 0.00061613205 0.00042367578 0.00024890102 0.00025978195 0.00013941177 0.0010309671 0.0010452484 0.00022577908 0.00018361551 7.8206605e-05 9.5208045e-05 8.024678e-05 6.256528e-05 4.7604022e-05 0.0004331966 0.0043884106 0.00065285515 0.0003740316 0.0027073086 0.000437957 0.00038287236 0.0010044449 0.0008827146 0.00037607178 0.00039239315 0.00033458826 0.00031554667 0.0004991622 0.00037335153 0.00026658253 0.00053928554 0.0021693832 0.00027134293 0.00019789672 0.00027746343 0.00020741753 0.00029990534 0.00019789672 0.00032030707 0.0010989729 0.0002318996 0.00023461982 0.00026386228 0.00047400003 0.00019449643 0.0002495811 0.0016675008 0.009120931 0.0016627405 0.0010935324 0.0019164019 0.0017409471 0.0021020577 0.0013784765 0.0025134922 0.0048311283 0.00057600864 0.00062429276 0.00081266864 0.0023373575 0.00082286954 0.001989168 0.004082385 0.0123614045 0.0038491252 0.0018300347 0.0026467836 0.0036757104 0.005109952 0.0024067233 0.0046597538 0.009382753 0.0007065797 0.0010010445 0.0011275352 0.0050630276 0.0020156903 0.004486339 0.007922669 0.0037647982 0.0024665685 0.0022428294 0.002356399 0.0025291336 0.0023870016 0.0023121953 0.0024917305 0.002889564 0.0022067865 0.002295194 0.0021612225 0.0027637535 0.0022754723 0.0025610963 0.002686227 578.0 10.692041 6180.0 0.033009708 0.002750809 0.0033980582 0.0037216828 0.0038834952 0.002750809 0.001618123 0.008737864 0.0058252425 0.0024271845 0.0017799353 0.0029126212 0.004854369 0.002265372 0.004530744 0.0019417476 0.013106796 0.012944984 0.019902913 0.019255664 0.016990291 0.01763754 0.011003236 0.012783172 0.016666668 0.010841424 0.0069579287 0.007605178 0.006472492 0.010355987 0.005339806 0.010355987 0.004368932 0.00841424 0.004530744 0.009546925 0.0061488673 0.0069579287 0.008899677 0.008252427 0.009061488 0.0063106795 0.0030744337 0.003236246 0.008576051 0.005987055 0.004854369 0.0030744337 0.02038835 0.004530744 0.0066343043 0.010841424 0.009061488 0.00420712 0.009546925 0.010679612 0.0069579287 0.004530744 0.0037216828 0.0040453076 0.004530744 0.0040453076 0.0025889967 0.008737864 0.009870551 0.030906148 0.0066343043 0.02459547 0.020873787 0.058737863 0.0071197413 0.009061488 0.010194175 0.024110032 0.008576051 0.0037216828 0.02961165 0.0077669905 0.023139158 0.03171521 0.013754046 0.003236246 0.03883495 0.022815535 0.048220064 0.017313916 0.007928803 0.004368932 0.009223301 0.008576051 0.0025889967 0.00210356 0.0033980582 0.0030744337 0.002750809 0.00420712 6.0851307 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 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 15.0 5.0 5.0 1.0 5.0 1.0 84480.0 1024.0 53248.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6936984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4291553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.933907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28275.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84262.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.0567038 0.008304636 0.0061725327 0.0056638527 0.0057643456 0.004957296 0.0042010103 0.005419355 0.0050474284 0.0056255204 0.003749311 0.0044683004 0.004957296 0.0031691468 0.004323259 0.0046423497 0.0050391406 0.0037689952 0.0049334676 0.00415957 0.0043584835 0.003170183 0.0041036257 0.0038446237 0.0050733285 0.0033494122 0.0031660388 0.0029319013 0.004151282 0.0034364369 0.0037855713 0.0037876433 0.0061663166 0.0038207956 0.003486165 0.0030230698 0.0048951353 0.004161642 0.0038404798 0.0037182309 0.004732482 0.003890208 0.00332662 0.0030945544 0.0043678074 0.003734807 0.0037203028 0.003582514 0.0055177757 0.0039502964 0.0031100945 0.002907037 0.0036736825 0.0030717622 0.0026874035 0.0028707767 0.0041699302 0.003319368 0.0035265693 0.0033577003 0.004004169 0.0032209472 0.0034965253 0.003453013 0.0065952237 0.0039440803 0.0036156662 0.0032157672 0.00415957 0.0032250914 0.0035410735 0.0030727983 0.0049977 0.0037762471 0.0037120148 0.0035866578 0.004130562 0.0031256345 0.0035680097 0.003467517 0.005165533 0.0036312062 0.0036488182 0.003333872 0.0039347564 0.0033836004 0.0033618442 0.0035348574 0.0046496014 0.0036394943 0.0038073275 0.0035027412 0.0041139857 0.0033877445 0.0036871505 0.0037897152 0.0059093866 0.0036239543 0.003340088 0.0029495133 0.004007277 0.0030593302 0.0032686037 0.003034466 0.004978016 0.003159823 0.003192975 0.0030541501 0.003580442 0.0028272644 0.0030904103 0.0032022991 0.0045035244 0.0032893238 0.0032261272 0.0031370306 0.003890208 0.003324548 0.0032934677 0.0036312062 0.004612305 0.0032976118 0.0034820212 0.0031691468 0.004043537 0.0032002272 0.0034768411 0.0033514842 0.008642375 0.0045978012 0.004015565 0.0035265693 0.0043678074 0.0034281488 0.0030220337 0.0033867084 0.004539785 0.0038373717 0.0029567652 0.003187795 0.0037306629 0.002794112 0.0028490205 0.0029785214 0.0052318377 0.0032136953 0.0035037773 0.003029286 0.0036571063 0.003175363 0.0032996838 0.0032654956 0.0045408206 0.0028459125 0.003039646 0.0027060516 0.0035131013 0.0032240553 0.0029805936 0.0031536068 0.0050173844 0.0034115727 0.0032696396 0.0028003282 0.0037689952 0.0030096017 0.003051042 0.003185723 0.0041347058 0.0030044217 0.0031214906 0.0030158178 0.0036415663 0.0028303724 0.002916361 0.003034466 0.00467861 0.0031163106 0.0038435878 0.0028573086 0.0035638658 0.0031484268 0.0029826656 0.0031214906 0.0042538466 0.0031494626 0.003334908 0.003183651 0.0036467463 0.003190903 0.003332836 0.0033411242 0.0067154006 0.0040611494 0.0037275548 0.0033431961 0.0041222735 0.0032499554 0.00331108 0.0032240553 0.0043377634 0.003334908 0.0031152745 0.0030852302 0.0036446743 0.0029785214 0.0030748702 0.0027951482 0.0042455588 0.0032727476 0.0030924822 0.0030085656 0.0037120148 0.003024106 0.0029319013 0.0029432971 0.003975161 0.0031049144 0.0027246997 0.002637675 0.0035244974 0.0029412252 0.0035814778 0.0028894248 0.0049531516 0.0032344153 0.0033929246 0.0029723055 0.0038021475 0.0030769422 0.003197119 0.002914289 0.004445508 0.0054504354 0.003468553 0.0031349587 0.0037959313 0.0030831583 0.0032509915 0.003190903 0.0046133413 0.003318332 0.0034157166 0.003039646 0.003736879 0.0030904103 0.0033204039 0.0032416673 0.0043429434 0.003034466 0.003182615 0.0028718128 0.004014529 0.0030966264 0.0042289826 0.0045169927 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923473 0.06201639 0.06243877 0.055323146 0.060601357 0.059546962 0.054935534 0.054471638 0.06045659 0.05315001 0.052123636 0.05295387 0.056438774 0.050544113 0.05666709 0.053837027 4026.0 5.701937 22956.0 0.017076146 0.010498345 0.009365743 0.008799442 0.013416972 0.012458617 0.011848754 0.0114567 0.012589301 0.009714236 0.008494511 0.008581635 0.01389615 0.010585468 0.011761631 0.009975606 0.016727652 0.011935878 0.008843004 0.007579718 0.009801359 0.008494511 0.007841087 0.008363826 0.01036766 0.008407388 0.009583551 0.008886565 0.011587384 0.008930127 0.009627113 0.009191497 0.01799094 0.010890399 0.0104112215 0.009060812 0.010846837 0.008843004 0.010672591 0.008363826 0.01420108 0.011587384 0.009714236 0.008930127 0.011413138 0.009365743 0.011718069 0.00953999 0.014767381 0.009627113 0.009932044 0.0090172505 0.012023001 0.009365743 0.009583551 0.009757797 0.013678341 0.009191497 0.010498345 0.009627113 0.011151768 0.009888482 0.01036766 0.010672591 0.017903816 0.0109775225 0.009670674 0.00818958 0.013068479 0.008233142 0.009365743 0.008363826 0.015420805 0.00927862 0.008886565 0.00871232 0.011369577 0.008015334 0.010062729 0.007884649 0.013242725 0.007971772 0.008668758 0.008843004 0.0114567 0.009452866 0.008146019 0.008015334 0.010846837 0.008930127 0.011979439 0.008538073 0.011369577 0.008930127 0.010062729 0.00875588 6.5548716 0.0 0.0 0.0 14.0 965244.0 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: 0.4761556 0.008992513 0.006184896 0.0060628257 0.008178711 0.0028076172 0.001953125 0.0012613932 0.0094401045 0.0013020834 0.0026041667 0.0011393229 0.0043945312 0.0029703777 0.0010172526 0.00390625 0.005818685 0.0006510417 0.00048828125 0.00069173175 0.0028483074 0.0031738281 0.00044759116 0.0007324219 0.0020751953 0.00048828125 0.00048828125 0.00028483072 0.0011800131 0.00069173175 0.00024414062 0.00024414062 0.006632487 0.00081380206 0.00056966144 0.0013020834 0.007446289 0.00081380206 0.00032552084 0.00020345052 0.0005289714 0.00036621094 0.00024414062 0.0016276041 0.00048828125 0.0010579427 0.0016682943 0.0010986328 0.0015055338 0.00036621094 0.000773112 0.0035807292 0.0008951823 0.0016276041 0.0008544922 0.00040690103 0.0017089844 0.0015055338 0.00028483072 0.004272461 0.0012613932 0.0020345051 0.0010172526 0.00036621094 0.023763021 0.0028076172 0.0010986328 0.0018717448 0.0056152344 0.004638672 0.004231771 0.004231771 0.0021158855 0.0015055338 0.0008951823 0.0005289714 0.0025227864 0.0034993489 0.00061035156 0.0008951823 0.0052083335 0.001953125 0.0024414062 0.0034993489 0.0021972656 0.0034993489 0.0033772786 0.0061442056 0.0025634766 0.0033365886 0.00069173175 0.0013427734 0.0015869141 0.0019124349 0.0024414062 0.0023600261 0.0009765625 0.0037434895 0.0005289714 0.0013834635 0.0026855469 0.0073649087 0.0009358724 0.0013020834 0.0030517578 0.0036621094 0.003458659 0.00028483072 0.0025634766 0.0011393229 0.0038248699 0.0039876304 0.0020345051 0.00016276042 0.005452474 0.0026041667 0.012613933 0.010904948 0.0012613932 0.00056966144 0.0013834635 0.0012207031 0.00040690103 0.00032552084 0.0012207031 0.0018310547 0.0007324219 0.00012207031 0.0036214192 0.0014648438 0.0007324219 0.010904948 0.0032552083 0.004597982 0.00016276042 0.00012207031 0.0041910806 0.0073649087 0.0037434895 0.01965332 0.00081380206 0.008300781 0.0013020834 0.0015869141 0.0024414062 0.00012207031 0.00024414062 0.00024414062 0.000773112 0.00081380206 0.00020345052 4.0690105e-05 0.0005289714 8.138021e-05 0.00020345052 0.00012207031 0.00044759116 8.138021e-05 0.00028483072 0.00016276042 0.0006510417 0.0016682943 0.00020345052 0.0009765625 0.0011393229 0.0014241537 0.00020345052 0.0 0.00044759116 0.00036621094 0.00016276042 0.00044759116 0.00069173175 8.138021e-05 0.0010172526 4.0690105e-05 0.00040690103 4.0690105e-05 0.00024414062 0.00024414062 0.00032552084 0.00016276042 0.0008951823 0.00020345052 0.0008951823 8.138021e-05 0.00056966144 0.00044759116 0.0006510417 8.138021e-05 0.00036621094 0.0010579427 0.0060628257 0.0048828125 0.0010986328 0.005004883 0.0024414062 8.138021e-05 0.0014241537 0.0024414062 0.0015869141 0.0022786458 0.00069173175 0.00032552084 0.003540039 0.00024414062 0.00032552084 0.00044759116 0.0013020834 0.0017089844 0.0010986328 0.0013427734 0.00040690103 0.00036621094 0.00024414062 0.00036621094 0.0010986328 0.00040690103 0.00048828125 0.00069173175 0.0005289714 4.0690105e-05 0.00028483072 0.00028483072 0.0014241537 0.0010986328 0.00032552084 0.00024414062 0.000773112 0.00016276042 0.00028483072 0.00012207031 0.005493164 0.0021158855 0.00020345052 0.0038248699 0.0024414062 0.00016276042 0.0005289714 0.00061035156 0.0017903646 0.0005289714 0.0010172526 0.0026448567 0.0010986328 0.00016276042 0.001546224 0.0031738281 0.0033772786 0.0019938152 0.001546224 0.0005289714 0.0038248699 0.0006510417 0.0026041667 0.01965332 0.17312755 0.00036090353 2.122962e-05 0.0 0.0 0.0 0.0 0.0 0.00040336276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041737434 0.0 0.0 2.122962e-05 0.00025475543 0.00014860733 0.0008067255 0.00042459238 0.0 2.122962e-05 2.122962e-05 2.122962e-05 2.122962e-05 0.0 0.0 0.0 0.039487094 0.00040336276 0.00038213315 0.00044582202 0.0003184443 0.00019106657 0.0008067255 0.0008067255 0.0 6.368886e-05 0.0 0.000106148094 0.000106148094 0.00019106657 8.491848e-05 8.491848e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.066087805 0.0017195992 0.0023564878 0.00046705164 0.0031419836 0.0014436141 0.004500679 0.0027173914 0.0010827106 0.00046705164 0.0005944293 0.00016983696 0.0005944293 0.00050951086 0.00033967392 0.0007642663 0.025963824 8.491848e-05 0.00023352582 0.00027598505 0.0037151834 0.0013799253 0.006878397 0.0038850203 6.368886e-05 0.00021229619 0.000106148094 0.00025475543 0.000106148094 0.00014860733 6.368886e-05 0.000106148094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024944803 0.001061481 0.0014011549 0.00048828125 0.0011888586 0.0015709918 0.0003184443 0.00023352582 0.0035453464 0.00036090353 0.0011251698 0.00040336276 0.002016814 0.00067934784 0.0007854959 0.0033542798 0.011570143 0.00016983696 0.0023777173 0.0014223845 0.005095109 0.0017832881 0.012589164 0.0066661006 0.000106148094 0.00025475543 0.00014860733 0.0003184443 0.00012737772 0.00021229619 8.491848e-05 0.0005519701 0.037831184 0.0011463994 0.0036090354 0.003290591 0.0077912705 0.0023777173 0.006814708 0.0048828125 0.007854959 0.0010827106 0.00067934784 0.00033967392 0.0032481318 0.00084918475 0.0012950068 0.0038637908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.071628734 0.010912024 0.011442765 0.012100883 0.031016475 0.024923574 0.0057107676 0.018045176 0.046514098 0.002632473 0.0035453464 0.0029509172 0.018724525 0.005689538 0.011888587 0.026621943 0.029912533 0.0051800273 0.004076087 0.0044794497 0.010636039 0.012483017 0.0034391985 0.0062415083 0.015370244 0.0019318954 0.0037151834 0.0022927988 0.009256114 0.0026537024 0.0060504414 0.012716542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 125.0 13.968 1746.0 0.050973654 0.0011454754 0.0017182131 0.0005727377 0.0028636884 0.0 0.0 0.0 0.0005727377 0.0 0.0 0.0011454754 0.0005727377 0.0068728523 0.010309278 0.0011454754 0.011454754 0.0022909509 0.008018328 0.0034364262 0.0011454754 0.0005727377 0.008591065 0.0011454754 0.004009164 0.0017182131 0.0005727377 0.0005727377 0.0005727377 0.0022909509 0.0045819017 0.0005727377 0.0063001146 0.018327607 0.0034364262 0.009736541 0.005727377 0.008591065 0.008018328 0.012027492 0.0045819017 0.0034364262 0.0 0.0017182131 0.00744559 0.009736541 0.0022909509 0.0034364262 0.009736541 0.0017182131 0.016036656 0.021764033 0.005154639 0.00744559 0.0068728523 0.012600229 0.0005727377 0.0028636884 0.0 0.0005727377 0.004009164 0.0005727377 0.0005727377 0.0011454754 0.0 0.048682705 0.004009164 0.018327607 0.025773196 0.09507445 0.0063001146 0.017754868 0.012027492 0.04982818 0.0034364262 0.0011454754 0.033218786 0.014318442 0.052691866 0.055555556 0.021191295 0.0 0.057846505 0.026918672 0.06872852 0.026918672 0.00744559 0.0034364262 0.012600229 0.0068728523 0.0017182131 0.0 0.0 0.0022909509 0.0 0.0 5.299174 0.0 0.0 0.0 1.0 24576.0 94208.0 0.0 0.0 46.0 0.0 0.0 0.0 0.0 0.0 943585660.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.278853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4521427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6155972 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 17456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.4887085 0.0065307617 0.0007019043 0.0004272461 0.0047912598 0.00030517578 0.00048828125 0.00079345703 0.0021362305 0.001373291 0.0021972656 0.00048828125 0.0014343262 0.00024414062 0.00024414062 0.00024414062 0.0020751953 0.0004272461 0.00039672852 0.0002746582 0.0010375977 0.000579834 0.00021362305 0.00015258789 0.0013427734 0.00064086914 0.0009765625 0.00030517578 0.0018310547 0.0021972656 0.0007324219 0.0014038086 0.025024414 0.00036621094 0.00088500977 0.00030517578 0.00088500977 0.0059814453 0.0030517578 0.0023498535 0.0030517578 0.0020751953 0.0014953613 0.0015563965 0.0025634766 0.0030212402 0.0038146973 0.0036010742 0.0044555664 0.0024108887 0.0022277832 0.001953125 0.0025939941 0.0017700195 0.0018920898 0.0016784668 0.0012207031 0.002166748 0.0035095215 0.000579834 0.00079345703 0.00048828125 0.00030517578 0.00021362305 0.0031738281 0.027679443 0.0018005371 0.005554199 0.0021362305 0.0026245117 0.014038086 0.00061035156 0.0010986328 0.0026550293 0.00030517578 0.00039672852 0.0024719238 0.0018310547 0.0008544922 0.0015258789 0.0039367676 0.0005493164 0.0017700195 0.0036621094 0.0019836426 0.0038452148 0.0010681152 0.0017089844 0.0010375977 0.00033569336 0.00024414062 0.0024108887 0.0024719238 0.0024414062 0.00036621094 0.0009765625 0.0012512207 0.017425537 0.0024108887 0.007598877 0.011138916 0.027435303 0.0040893555 0.007171631 0.0068359375 0.015014648 0.0013122559 0.0025634766 0.011444092 0.00869751 0.0152282715 0.015991211 0.008911133 0.00039672852 0.015899658 0.016845703 0.023040771 0.007171631 0.0012817383 0.0043029785 0.0037841797 0.0024108887 0.00088500977 0.00015258789 0.0010375977 0.001159668 0.0002746582 0.0002746582 0.001159668 0.00012207031 0.00024414062 0.00024414062 0.0006713867 0.00015258789 0.00012207031 0.00030517578 0.00088500977 0.00024414062 0.00015258789 3.0517578e-05 0.00076293945 3.0517578e-05 0.00030517578 0.00018310547 0.0015258789 0.00018310547 0.00012207031 0.00018310547 0.00064086914 0.001159668 0.00015258789 6.1035156e-05 0.0006713867 0.00021362305 0.0002746582 0.00012207031 0.00039672852 9.1552734e-05 9.1552734e-05 0.00021362305 0.0015258789 0.00024414062 0.00024414062 0.0010681152 0.00030517578 0.00015258789 0.00021362305 0.00024414062 0.0006713867 0.00018310547 0.00021362305 0.00024414062 0.00076293945 0.00015258789 3.0517578e-05 0.0010986328 0.0014343262 0.00024414062 0.00015258789 3.0517578e-05 0.00036621094 0.00018310547 0.00024414062 0.00024414062 0.00079345703 9.1552734e-05 0.00024414062 0.00024414062 0.00061035156 0.0006713867 9.1552734e-05 0.00018310547 0.0014038086 0.00018310547 6.1035156e-05 6.1035156e-05 0.00061035156 6.1035156e-05 0.00015258789 9.1552734e-05 0.0006713867 6.1035156e-05 3.0517578e-05 3.0517578e-05 0.00024414062 9.1552734e-05 6.1035156e-05 9.1552734e-05 0.0012512207 6.1035156e-05 3.0517578e-05 3.0517578e-05 0.00039672852 6.1035156e-05 3.0517578e-05 0.00036621094 0.00024414062 3.0517578e-05 3.0517578e-05 3.0517578e-05 0.0005187988 6.1035156e-05 0.0009460449 3.0517578e-05 0.0016174316 0.00012207031 6.1035156e-05 0.0009460449 0.00012207031 6.1035156e-05 0.00039672852 6.1035156e-05 0.00079345703 0.0009765625 0.00018310547 6.1035156e-05 0.00030517578 3.0517578e-05 6.1035156e-05 6.1035156e-05 0.0011291504 3.0517578e-05 6.1035156e-05 9.1552734e-05 0.0004272461 3.0517578e-05 6.1035156e-05 3.0517578e-05 0.0007019043 0.0010070801 0.0009765625 9.1552734e-05 0.00024414062 0.00012207031 6.1035156e-05 0.001159668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10068044 1.5751008e-05 0.010789441 0.0015278478 0.005654612 0.0068674395 0.04405557 0.023799773 3.1502015e-05 0.0 6.300403e-05 0.0 1.5751008e-05 3.1502015e-05 0.0 1.5751008e-05 0.222735 0.0041897683 0.029769406 0.008631553 0.024193548 0.011781754 0.0702495 0.039283015 0.0013388357 0.0010553176 0.0011498235 0.00075604836 0.0006300403 0.0008978075 0.0012285786 0.0014648438 0.06906817 0.0027406754 0.0043315273 0.0054971017 0.009434854 0.003969254 0.016648816 0.00937185 0.00042527722 0.00083480345 0.0013073337 0.0005827873 0.0007717994 0.0008033014 0.0013703377 0.0018743699 0.07672316 0.0047725555 0.009970388 0.005812122 0.01968876 0.0043157763 0.014349168 0.009671119 0.0024099043 0.0023311493 0.0027564263 0.0025674144 0.0014018397 0.0014175908 0.0017168599 0.0013860887 0.025721395 0.0021421371 0.004567792 0.0066941786 0.00530809 0.0014963457 0.0087260585 0.003843246 0.00048828125 0.0007875504 0.0010868196 0.00042527722 0.0003937752 0.0007875504 0.0009765625 0.0010710686 0.012301537 0.00069304433 0.0009765625 0.00042527722 0.005890877 0.00066154235 0.002315398 0.0024256553 0.0010238155 0.0011655746 0.0011970766 0.0012915827 0.00069304433 0.00028351814 0.00037802418 0.0005355343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 28.839285 1615.0 0.011145511 0.00061919505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019814242 0.0061919503 0.0 0.009907121 0.014241486 0.009907121 0.008668731 0.016099071 0.0061919503 0.0055727554 0.0068111457 0.0055727554 0.012383901 0.033436533 0.0 0.0 0.0 0.0 0.0 0.0012383901 0.009287925 0.0012383901 0.026006192 0.009907121 0.0074303406 0.0012383901 0.00061919505 0.0 0.0074303406 0.0 0.00061919505 0.0055727554 0.009907121 0.0012383901 0.0061919503 0.008049536 0.0 0.0024767802 0.019195046 0.0043343655 0.011764706 0.0012383901 0.0037151703 0.0 0.0 0.0 0.0 0.009907121 0.0 0.0 0.0012383901 0.00061919505 0.08854489 0.017337462 0.017337462 0.03591331 0.09349845 0.017337462 0.039628483 0.0037151703 0.029721363 0.00061919505 0.0030959751 0.022291021 0.014241486 0.04767802 0.029721363 0.043962847 0.0 0.06006192 0.022910217 0.071207434 0.009907121 0.0049535604 0.0037151703 0.0018575852 0.0018575852 0.0012383901 0.0 0.0 0.00061919505 0.0 0.0 5.1365523 0.0 0.0 0.0 2.0 32768.0 1875968.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1530829400.0 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 6.0 2.0 10.0 10.0 6.0 2.0 6.0 1.0 463872.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -463872.0 -10240.0 1324032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2975206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -463572.0 -9850.0 1327104.0 0.0 0.0 0.0 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 0.0 460.0 495616.0 1323636.0 507904.0 0.0 0.0 16064.0 1844224.0 34748.0 1835008.0 28.0 5248.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 95488.0 0.0 0.0 1848.0 497924.0 0.0 0.0 0.0 0.0