Input: 0.2348568 0.009564565 0.0041504013 0.0041284706 0.006529892 0.0024809202 0.0021766305 0.01274727 0.0073166587 0.0017599456 0.0016886706 0.0014995175 0.0045287074 0.0017517216 0.001581758 0.004517742 0.005707487 0.0047973595 0.0013268125 0.0013076231 0.0034513576 0.0033663758 0.0009649546 0.00062776875 0.0019874775 0.000786767 0.00063873414 0.00066888897 0.0016941533 0.0009402825 0.0010362297 0.0011678144 0.015148691 0.00072371593 0.0008827142 0.0011404009 0.0050084433 0.0011047634 0.0006634063 0.000849818 0.0015159656 0.0008169218 0.000677113 0.0014967761 0.0013295539 0.0014282424 0.0017106014 0.008887451 0.0020669766 0.0011787798 0.0013432606 0.0039804378 0.0010362297 0.0012527962 0.00077580154 0.000849818 0.0014200184 0.0021903373 0.0009293171 0.003218343 0.0020998728 0.0015241896 0.0009019036 0.0011431422 0.012898044 0.0040709022 0.0017983245 0.003714527 0.0033663758 0.008489956 0.002140993 0.0016420677 0.0022232335 0.0013432606 0.0006250274 0.00082514586 0.0015132242 0.003407496 0.0013487433 0.00088819687 0.007768981 0.0018558928 0.0013076231 0.0047973595 0.0016667398 0.010666586 0.0042244177 0.0036268039 0.0014474319 0.0032046363 0.0010033335 0.0014693626 0.0012884337 0.0025412298 0.0023575595 0.0019902189 0.0025768674 0.0067546824 0.0014501732 0.004068161 0.0042847274 0.011521887 0.004912496 0.0017791351 0.005233234 0.006263981 0.0041366946 0.0012747269 0.0051647 0.0028510022 0.0062996186 0.007736085 0.0038844906 0.0010005921 0.007396158 0.0063708937 0.013871223 0.011173735 0.0025521952 0.0028838983 0.018490395 0.002212268 0.0006524409 0.00062776875 0.001400829 0.010688517 0.0011979692 0.0012363481 0.0063791177 0.0018997544 0.0010800912 0.007897824 0.0026262116 0.0054114214 0.0007730602 0.000849818 0.0018312207 0.0066203563 0.0014255011 0.015562634 0.0011212114 0.007530484 0.00084707665 0.00071823323 0.0011212114 0.00088819687 0.00050714944 0.00062776875 0.0009238344 0.00079499104 0.0010142989 0.0007291986 0.0010170402 0.0007100092 0.00046602922 0.0008224045 0.0008854555 0.0005044081 0.0005784245 0.0005044081 0.0021821132 0.0009073863 0.0004769946 0.0010005921 0.0016694812 0.00086900743 0.0005235975 0.0006305101 0.0010526777 0.0007977324 0.00054826966 0.00061680336 0.0008909382 0.00048796 0.0005455283 0.0005098908 0.001110246 0.0007291986 0.00051263213 0.000551011 0.0013706741 0.0008388526 0.0009347998 0.0011815211 0.0014419492 0.00070726784 0.00072371593 0.0009485065 0.0016256196 0.0011294355 0.0011157288 0.0011595903 0.00807327 0.002746831 0.0021848546 0.0036076144 0.0023164393 0.00090464496 0.0020423045 0.003454099 0.001943616 0.0021601825 0.0011486249 0.00097317866 0.0017791351 0.0008662661 0.0010663845 0.0008799728 0.0015050002 0.0011732971 0.0014912934 0.001291175 0.0010828326 0.00095673057 0.0076072416 0.0014858107 0.002384973 0.0012500548 0.001636585 0.0013514847 0.0012610202 0.0014419492 0.000849818 0.0009238344 0.0035911663 0.001102022 0.0008827142 0.00912869 0.002321922 0.0012939164 0.0009402825 0.00083062856 0.009816769 0.0021601825 0.0010280056 0.0037172684 0.0033691172 0.0008607834 0.0015680513 0.0011623317 0.039593294 0.001093798 0.0088984165 0.0012747269 0.0019655467 0.00090464496 0.0020889074 0.002267095 0.0042682793 0.0015132242 0.0008909382 0.0017352735 0.0033718585 0.0023959384 0.002779727 0.048379313 0.0 0.0 6.8772006e-06 8.252641e-06 0.0 0.0 6.8772006e-06 2.7508802e-06 0.0 0.0 0.0 0.0 0.0 4.1263206e-06 9.628081e-06 0.002778389 0.00010453345 1.3754401e-06 1.3754401e-06 1.3754401e-06 1.3754401e-06 1.3754401e-06 1.3754401e-06 0.0 0.0 0.0 0.0 0.0 2.7508802e-06 0.0 8.252641e-06 0.0026931118 7.840009e-05 4.1263206e-06 4.1263206e-06 3.3010565e-05 1.2378961e-05 1.2378961e-05 1.2378961e-05 8.252641e-06 4.1263206e-06 1.2378961e-05 9.628081e-06 4.1263206e-06 2.6133363e-05 9.628081e-06 1.6505282e-05 0.0025693222 0.002537687 2.0631602e-05 3.163512e-05 3.0259684e-05 1.6505282e-05 1.2378961e-05 3.3010565e-05 1.9256162e-05 5.6393044e-05 2.6133363e-05 4.9515846e-05 4.4014083e-05 4.6764966e-05 5.2266725e-05 0.00014717209 0.0025101784 0.0024744167 2.4757923e-05 2.6133363e-05 3.5761444e-05 7.427377e-05 7.427377e-05 4.4014083e-05 5.5017605e-05 2.7508802e-05 6.327024e-05 2.6133363e-05 2.8884242e-05 0.00019118618 5.2266725e-05 3.9887764e-05 0.0023960166 0.008938986 0.00046489877 0.00035898987 7.152289e-05 0.00040300397 0.00013891945 0.00017605633 0.00013479314 0.0002462038 4.2638643e-05 5.0891285e-05 2.7508802e-05 3.5761444e-05 4.6764966e-05 3.3010565e-05 9.765625e-05 0.0052294233 9.628081e-05 0.00040850573 5.7768484e-05 9.077905e-05 8.9403606e-05 0.0015226123 0.000656085 3.9887764e-05 2.0631602e-05 2.8884242e-05 4.1263203e-05 3.9887764e-05 3.3010565e-05 2.3382483e-05 7.289833e-05 0.07786229 0.00031360035 0.009765625 0.0006409551 0.002822403 0.0018582196 0.033409443 0.01798388 0.00029434418 5.2266725e-05 0.00013616857 5.5017605e-05 0.00033285652 8.252641e-05 0.00023382483 0.0034523548 0.029834673 0.0007537412 0.0022667253 0.0012585277 0.0022859816 0.0013988226 0.007816627 0.0046916264 0.0005763094 0.0005185409 0.00027233714 0.0002737126 0.00028334066 0.00029434418 0.00033010563 0.0062995157 0.024621755 0.00090916594 0.00864189 0.001687665 0.0026229643 0.007819377 0.006199109 0.022553092 0.00072073063 0.0006698393 0.00052816904 0.00038512325 0.0007537412 0.00048553036 0.007166043 0.015644256 0.016609816 0.00074273767 0.002459287 0.0017110475 0.0034867409 0.0016257702 0.0048264195 0.0029847051 0.0008183869 0.0004827795 0.0007757482 0.0007097271 0.00086102553 0.0019916373 0.0008706536 0.0041139415 0.023716714 0.000896787 0.00243728 0.0015391175 0.003966769 0.0018637214 0.0033010563 0.0041318224 0.00373432 0.0017151738 0.0025005501 0.0015459948 0.0032680458 0.0045925947 0.004247359 0.012599031 0.015740536 0.0032020246 0.0021126762 0.0012131382 0.0017756933 0.0021869498 0.0018128301 0.0046393597 0.0033134352 0.0012901629 0.0016615317 0.0016670334 0.002596831 0.0037769587 0.0043051275 0.010677542 0.032698337 0.00709452 0.004415163 0.0041799624 0.008815195 0.008562115 0.005893761 0.008172865 0.015455821 0.0024551607 0.0027426276 0.0038567341 0.007751981 0.006758913 0.00790603 0.019719684 0.05766395 0.01454528 0.0087986905 0.01192094 0.022449935 0.023858385 0.009900418 0.017444707 0.03620296 0.0033863336 0.0034207196 0.005947403 0.01871699 0.008146732 0.016897282 0.036473922 0.00285954 0.0014868508 0.0015171105 0.0015790053 0.0016230193 0.0016202684 0.0015707526 0.0016574054 0.0012942891 0.0013960717 0.0015143596 0.0015446193 0.0013506822 0.0014442122 0.0014304577 0.0014634683 1232.0 12.448052 15336.0 0.04805686 0.0014997391 0.0054773083 0.0017605633 0.006259781 0.0020213877 0.0014345332 0.003716745 0.0018909755 0.0018909755 0.0014345332 0.0021517996 0.0018909755 0.010889411 0.006324987 0.0050208657 0.007563902 0.005412102 0.00528169 0.0059989565 0.0033255087 0.0030646843 0.0031298904 0.0035211267 0.002608242 0.0036515389 0.0043035992 0.0014997391 0.019431403 0.0045644236 0.0029994783 0.0014997391 0.003716745 0.008085551 0.0033907148 0.009780908 0.011345853 0.0067814295 0.006911841 0.0082811685 0.0056077205 0.0086071985 0.0014997391 0.0046296297 0.006520605 0.006520605 0.00991132 0.0039775693 0.0153886285 0.004173187 0.0066510173 0.029342722 0.009520084 0.00528169 0.018974962 0.022170058 0.004107981 0.004890454 0.0044340114 0.002608242 0.0022822118 0.0036515389 0.0038471571 0.005346896 0.0061945748 0.030972874 0.007563902 0.02327856 0.019300992 0.06970527 0.008737611 0.008215962 0.012910798 0.033646323 0.007498696 0.0056729265 0.027451748 0.015258216 0.032472614 0.04127543 0.016823161 0.007629108 0.039580073 0.026343245 0.056468442 0.017149191 0.007498696 0.0071726656 0.019627022 0.0093896715 0.0029342724 0.0018257694 0.0023474179 0.0032603026 0.0014997391 0.00247783 5.870242 0.0 7.0 0.0 4.0 364784.0 360448.0 0.0 0.0 306.0 0.0 1.0 0.0 0.0 0.0 1350681300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 0.0 1024.0 4096.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0204678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6057253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6925325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78994.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -170308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 1.0 3.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 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 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 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 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 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 76340.0 100800.0 258048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 74960.0 0.0 0.0 1268.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.024207791 0.005553192 0.0053372523 0.0035291614 0.003777331 0.0038675743 0.0036999793 0.00375477 0.0038482363 0.003912696 0.0038256755 0.003880466 0.0036419658 0.0037966687 0.0041318587 0.0037966687 0.0038127836 0.0036226278 0.0038933582 0.0036838644 0.0036322968 0.0035259386 0.0038772433 0.0036484117 0.0038095606 0.003590398 0.0038417904 0.0037805538 0.0038417904 0.003767662 0.0036548576 0.003583952 0.0037289863 0.003600067 0.0037934456 0.0037966687 0.0036741956 0.003757993 0.00360329 0.0037064254 0.003748324 0.0036355199 0.0038579053 0.004009385 0.0038772433 0.0040222774 0.0038031146 0.0036741956 0.003590398 0.0038643512 0.0037225403 0.003477594 0.0037160942 0.0038385675 0.0037451012 0.0036226278 0.0037708848 0.0037096483 0.0037096483 0.0038514594 0.0038127836 0.0038353445 0.0035581684 0.0037193173 0.0036548576 0.0038514594 0.004937603 0.0049214885 0.0049247113 0.003616182 0.0038321214 0.0039610406 0.0036967564 0.0038224526 0.003890135 0.0037193173 0.003612959 0.0036484117 0.0036999793 0.0036903105 0.0038031146 0.0037064254 0.0035291614 0.0037225403 0.003783777 0.0040222774 0.0037289863 0.0037354322 0.0039610406 0.0042511085 0.0039964933 0.0035323845 0.0037708848 0.003748324 0.003774108 0.003619405 0.0038160067 0.003890135 0.0037451012 0.0036548576 0.0037354322 0.0037289863 0.0037064254 0.0038160067 0.0039739325 0.0038288985 0.0036774185 0.003767662 0.0037160942 0.003909473 0.0035710603 0.003757993 0.0036806415 0.0038127836 0.0037096483 0.003919142 0.0039707096 0.003458256 0.0037354322 0.003899804 0.0039868243 0.0036387427 0.0036967564 0.0036806415 0.0036999793 0.003593621 0.0036774185 0.003777331 0.0038192295 0.0037451012 0.0035613913 0.003774108 0.0036355199 0.0038643512 0.0038353445 0.0040029394 0.004183426 0.0036709725 0.0036806415 0.0036870874 0.0036806415 0.00360329 0.003600067 0.0038450134 0.0035807292 0.003600067 0.0037902228 0.0036645266 0.0036870874 0.003957818 0.0039997166 0.0036419658 0.003783777 0.0036645266 0.0035710603 0.003751547 0.0037354322 0.0036355199 0.0036290737 0.0036387427 0.0037966687 0.0037257632 0.0037354322 0.0037289863 0.003774108 0.0037934456 0.0038482363 0.0036613035 0.003757993 0.0038707973 0.003774108 0.0037998918 0.0036290737 0.0036451886 0.0034969316 0.00360329 0.0038256755 0.003783777 0.00375477 0.0040061623 0.0038836892 0.0035130465 0.0038385675 0.0035420535 0.0037032024 0.0036516348 0.0036290737 0.0036935334 0.0037064254 0.003616182 0.0035517223 0.003600067 0.003741878 0.0037354322 0.0035807292 0.003903027 0.003967487 0.0036580807 0.0037160942 0.0037805538 0.003741878 0.003925588 0.0037096483 0.0034840398 0.003748324 0.0033357828 0.003625851 0.0036903105 0.0038611284 0.0037096483 0.004060953 0.003606513 0.003757993 0.0033551208 0.0035775062 0.0036838644 0.0037354322 0.0035968442 0.003757993 0.0035259386 0.003606513 0.003612959 0.0035678372 0.0036967564 0.003890135 0.0038321214 0.003880466 0.0038675743 0.003455033 0.003609736 0.0036903105 0.0037128713 0.00375477 0.003583952 0.0037966687 0.0035968442 0.0038224526 0.0035323845 0.0036613035 0.004457379 0.005124536 0.0054661715 0.004505724 0.004222102 0.0036838644 0.0036935334 0.004612082 0.0044734944 0.004918265 0.003748324 0.003458256 0.0034969316 0.0047474476 0.005266347 0.0050117318 0.008547339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008231258 1.6168253e-05 3.2336506e-05 2.2635555e-05 0.00054001965 7.4373966e-05 6.467301e-05 1.7785078e-05 0.00044947743 6.4673013e-06 9.700952e-06 9.700952e-06 2.101873e-05 8.084126e-06 0.00018108444 0.0035602495 0.002472126 1.6168253e-06 4.850476e-06 0.0 0.00027809397 0.0 0.0 0.0 1.6168253e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0038642124 0.0017429377 1.6168253e-06 4.850476e-06 0.0 0.0012918435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011641142 0.0034648567 0.0008181136 1.6168253e-06 4.850476e-06 0.0 0.0004284587 0.0 0.0 0.0 1.6168253e-06 0.0 0.0 0.0 0.0 0.0 0.00010509365 0.0019515082 0.0037655863 4.6887933e-05 9.377587e-05 5.820571e-05 0.0003945054 9.700952e-05 5.9822538e-05 4.3654283e-05 0.0003831876 1.13177775e-05 1.7785078e-05 1.9401905e-05 8.569174e-05 1.7785078e-05 0.00011641142 0.0014114885 0.0020242652 1.6168253e-05 0.00016329935 3.7186983e-05 0.00021342095 0.000114794595 0.0004219914 0.00020695364 1.2934603e-05 1.2934603e-05 1.13177775e-05 1.4551428e-05 1.13177775e-05 1.9401905e-05 1.2934603e-05 1.7785078e-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 0.0007809266 7.275714e-05 8.730857e-05 6.952349e-05 0.00075020693 7.114031e-05 6.467301e-05 7.275714e-05 5.6588888e-05 6.467301e-05 7.4373966e-05 7.275714e-05 6.7906665e-05 6.467301e-05 7.922444e-05 0.0008617679 0.0021794806 0.00024090697 0.00037348666 0.00023443968 0.0003265987 0.00030396317 0.0006143936 0.0003848044 0.00031204728 0.00022635555 0.00018108444 0.00020048633 0.00026030888 0.00020857046 0.00028294444 0.0002926454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061025456 0.059253413 0.0596075 0.059225928 0.05936659 0.060150754 0.059141852 0.05930677 0.05909335 0.059091732 0.0594345 0.05908688 0.058999572 0.05849674 0.05935204 0.05969804 990.0 5.9656568 5906.0 0.010328479 0.008127328 0.0074500507 0.010667118 0.0057568573 0.009651202 0.008973924 0.012190992 0.008465967 0.009312564 0.009481883 0.009989841 0.0066034542 0.008465967 0.010328479 0.008973924 0.008296647 0.011513715 0.009312564 0.008804605 0.010497799 0.01015916 0.010667118 0.01015916 0.010497799 0.010836437 0.011513715 0.009989841 0.006942093 0.011344396 0.008635286 0.011344396 0.012868269 0.012868269 0.0091432445 0.0111750765 0.010667118 0.012868269 0.009312564 0.013545547 0.0111750765 0.011683034 0.009481883 0.009820522 0.008973924 0.009989841 0.010328479 0.011513715 0.009481883 0.009651202 0.011513715 0.012360311 0.010836437 0.010497799 0.009481883 0.012190992 0.009312564 0.012529631 0.01015916 0.008296647 0.009651202 0.008973924 0.008296647 0.0091432445 0.008973924 0.0132069085 0.008635286 0.010497799 0.010328479 0.023704708 0.008465967 0.010497799 0.0077886893 0.013376228 0.010667118 0.009481883 0.0152387405 0.011683034 0.012529631 0.014222824 0.009820522 0.008804605 0.0132069085 0.015746698 0.017439893 0.009820522 0.01015916 0.008635286 0.011005756 0.008635286 0.009312564 0.009481883 0.008635286 0.009820522 0.0077886893 0.009312564 6.5522127 0.0 0.0 0.0 6.0 310272.0 323584.0 1.0 0.0 42.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 5.0 12.0 4.0 0.0 4.0 0.0 3072.0 1024.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 304128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1514173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.913637 0.0 7.9795103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1174.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2820.0 0.0 303970.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 8372.0 303970.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 12288.0 0.0 0.0 180.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0011160715 0.0 0.0 0.001953125 0.002232143 0.0011160715 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.00055803574 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00055803574 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0013950893 0.00055803574 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024902344 0.03540039 0.033691406 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.011494253 0.0 0.0 0.007662835 0.01532567 0.01532567 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.007662835 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.007662835 0.0038314175 0.011494253 0.0 0.0038314175 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0 0.019157087 0.007662835 0.0 0.0 0.0 0.0 0.0 0.0 5.3033414 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 -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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.14643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.15298092 0.0077817608 0.0041896077 0.0037019067 0.007681085 0.0034118441 0.0028977364 0.0028238797 0.00949119 0.0021608209 0.0020308497 0.0020415776 0.0061763083 0.002699685 0.0015419109 0.0070877564 0.0050701103 0.0016256701 0.0014342206 0.0013219916 0.0035781246 0.0071843066 0.0012955848 0.0010591611 0.003278572 0.001582759 0.001443298 0.0013661406 0.0023204996 0.0018484776 0.0013083756 0.001466404 0.00460469 0.0012341064 0.00208944 0.001344685 0.0026708026 0.0037411042 0.0014288567 0.0013133269 0.0017593546 0.0009415683 0.0011928458 0.0022870784 0.0013376706 0.0010158375 0.0014965242 0.0013191034 0.0025503214 0.0016566155 0.0016760081 0.0041780546 0.0015856472 0.0010455452 0.0010764906 0.0009411557 0.0017445008 0.0011895449 0.0019157325 0.002230964 0.0024970951 0.0022866658 0.0012865075 0.0032938386 0.014082264 0.006090899 0.0033429388 0.0027760174 0.002896911 0.017100893 0.003170882 0.0025556854 0.002227663 0.0028135646 0.0015588278 0.0014069886 0.00482626 0.010580059 0.0031861484 0.0040253904 0.011981684 0.004747039 0.005693146 0.016192747 0.0045956126 0.0060599535 0.007929062 0.0047511654 0.0037670985 0.0027318683 0.0021682477 0.0020032052 0.0013616019 0.0047969646 0.0065781875 0.0051703737 0.0014420601 0.0061742454 0.0020205346 0.0056853066 0.005816928 0.014745323 0.0025185507 0.0043657906 0.008128351 0.011633856 0.007146347 0.0015641917 0.0048440015 0.0026229403 0.008515376 0.0069231265 0.0034027668 0.0010995966 0.010560666 0.0076645804 0.013759193 0.0076088784 0.0033008528 0.0017209823 0.0019767983 0.0024644993 0.0010075853 0.00093290355 0.0013079629 0.0018988156 0.0017531655 0.0010979462 0.0027842694 0.0014041003 0.0009271271 0.010814006 0.0030376099 0.0054983958 0.0015188049 0.0011887196 0.0019140821 0.0069850176 0.0016264953 0.024062393 0.0011383817 0.015049414 0.0010381183 0.00093166577 0.0015868851 0.0008458436 0.0008421301 0.0012134761 0.0012939343 0.0013888339 0.0008644109 0.0008512075 0.0011854188 0.0009403305 0.0008169611 0.0007979812 0.0011982096 0.00088091515 0.0008037577 0.00092382624 0.001555527 0.0027149515 0.00086234784 0.0020114572 0.0012493728 0.0008045829 0.00081283506 0.00081200985 0.0015402605 0.00080128206 0.00077528786 0.0008252132 0.0011070236 0.00080870895 0.00080705853 0.00082026195 0.0016735324 0.0008466688 0.00093166577 0.0008722504 0.0011685019 0.001048846 0.001596375 0.0010348174 0.002400958 0.0022565457 0.00092052534 0.0009234136 0.0014119399 0.00092382624 0.0012382325 0.00095188344 0.0062827608 0.0030788705 0.0029596272 0.0043038996 0.005898624 0.0018381624 0.00458736 0.0057707164 0.004138857 0.0020320877 0.0013814069 0.0015320084 0.026809115 0.004495762 0.0020849013 0.0016429996 0.0025598113 0.0013760431 0.0014206045 0.0013752178 0.0025763158 0.0013087882 0.0018204204 0.0016797215 0.003204303 0.0014309197 0.0014119399 0.0015823464 0.0017440881 0.00091433624 0.0009721012 0.0009679751 0.0024463446 0.0010034593 0.0008772017 0.00096219865 0.0027636392 0.0025705392 0.0009675625 0.0008652361 0.010658867 0.002707112 0.00088174036 0.0019157325 0.005864378 0.00077570044 0.0012299804 0.0011057857 0.0051905913 0.0015179798 0.0013537623 0.0016108162 0.0037179983 0.0009894307 0.0017816353 0.0016553778 0.0032088417 0.0020370388 0.0013442724 0.0014197794 0.0065893275 0.0020617952 0.0029938736 0.03920134 0.0063111125 4.33569e-06 4.1292284e-07 8.258457e-07 3.5098442e-06 8.258457e-07 3.5098442e-06 1.8581527e-06 1.4452299e-06 1.2387685e-06 2.0646142e-07 0.0 3.3033828e-06 4.1292283e-06 1.2387685e-06 4.542151e-06 0.0044143517 5.7602734e-05 7.432611e-06 4.1292283e-06 5.3267046e-05 9.910148e-06 8.258457e-07 6.1938426e-06 1.8581527e-06 2.0646142e-07 1.2387685e-06 2.0646141e-06 1.2387685e-06 5.0376584e-05 2.0646141e-06 3.8401824e-05 0.005382449 0.0001321353 4.955074e-06 2.8904599e-06 3.1175674e-05 9.910148e-05 3.3033828e-06 2.0646141e-06 9.497225e-06 2.477537e-06 1.8581527e-06 1.6516914e-06 3.0969213e-06 0.00012635438 4.7486124e-06 0.00011190209 0.0038930364 0.00034602932 1.42458375e-05 6.1938426e-06 2.0852603e-05 0.00012098639 2.1678448e-05 1.5691068e-05 1.8581527e-06 1.8581527e-06 0.0 1.2387685e-06 1.6516914e-06 0.000107359934 4.1292284e-07 9.806917e-05 0.0012862546 0.0002547734 2.6014139e-05 8.051995e-06 1.2387685e-06 2.4981831e-05 5.367997e-06 3.0969213e-06 4.542151e-06 2.0646142e-07 0.0 0.0 3.7163054e-06 2.4568908e-05 1.1768301e-05 3.675013e-05 0.0022378352 0.00024465678 9.31141e-05 7.6390725e-06 0.0009503419 0.000719931 4.8931357e-05 3.324029e-05 1.2800608e-05 1.6516914e-06 1.6516914e-06 1.6516914e-06 9.68304e-05 8.9604255e-05 8.464918e-06 0.00010281779 0.00488178 0.00016062698 0.00028904597 3.200152e-05 0.0002867749 0.0005764403 0.00014183899 0.00011045686 2.7046446e-05 8.671379e-05 1.2181224e-05 2.2504295e-05 0.00019675773 0.00023639832 5.4712276e-05 0.00049571384 0.01758783 0.0008118063 0.0010095963 0.00038546347 0.0015897529 0.0029286551 0.0025789095 0.0013541804 0.00014761991 0.00033777088 0.00018829282 0.00023454017 0.00021162296 0.00078001124 0.00017198236 0.0022401065 0.020913921 0.00049261696 0.0038988173 0.0037673016 0.019155078 0.01521311 0.034446437 0.018054018 0.00032393797 0.0005473292 0.00034623579 0.00024424386 0.00035511365 0.0019516798 0.00018953158 0.0035678598 0.007377692 0.00036399148 0.0021284109 0.0015131558 0.005358087 0.004248976 0.012097194 0.0064064977 0.000108805165 0.00013275469 7.762949e-05 9.889502e-05 7.3293806e-05 0.00070651097 0.00011252147 0.0010560502 0.0068982886 0.00039578654 0.0013950597 0.0018015823 0.0050267163 0.00417754 0.009984268 0.005338886 0.00030865983 0.00033921612 0.00018767343 0.0002894589 0.00058820855 0.0002349531 0.00026984507 0.000395993 0.009401633 0.0013581032 0.0012559048 0.0007903343 0.0020924865 0.0026495194 0.0035924288 0.0020421098 0.000847937 0.0006041061 0.0005213151 0.00092659885 0.0032420636 0.00093444437 0.0007769143 0.00152224 0.0119568 0.0035705438 0.0014305712 0.0011727009 0.0032170818 0.0032284372 0.0023926813 0.0018554687 0.0043978347 0.00064849533 0.0007475968 0.0012594146 0.004463283 0.00089666195 0.0015040714 0.0037699854 0.097667195 0.01775465 0.0076537314 0.010625537 0.03178866 0.042592783 0.017289905 0.014678375 0.05824235 0.0036871945 0.006110845 0.006588803 0.05470608 0.009054985 0.022653567 0.048799634 0.009070469 0.0020022627 0.0012055282 0.0016473556 0.003927103 0.004644143 0.00202869 0.002207279 0.0062184115 0.0006431273 0.00073830603 0.0009965893 0.005545967 0.0016735762 0.002413947 0.0049315374 0.009420215 0.009219328 0.00934114 0.009379336 0.009155119 0.009319669 0.009544298 0.009453662 0.009287254 0.009380574 0.009343824 0.009512504 0.009361993 0.00946254 0.009416499 0.009507755 11165.0 35.741066 399049.0 0.013797805 0.0003157507 0.0029394887 0.000596418 0.0020548855 0.0023681303 0.0007793529 0.00046109626 0.00084951974 0.0007066801 0.002135076 0.00039092943 0.00087708526 0.0012028598 0.003981967 0.0027891311 0.005109648 0.004926713 0.003753925 0.0032001082 0.0024282732 0.0006966563 0.0011201632 0.0006315014 0.0007793529 0.00068663247 0.006127067 0.00081193034 0.0023029754 0.0020674153 0.0020398498 0.014830259 0.06691409 0.023117462 0.008342334 0.008943764 0.0072422186 0.019716877 0.0035785078 0.0042576226 0.0038416334 0.011021203 0.0009698057 0.0020072723 0.0057937745 0.006217282 0.009191854 0.014757586 0.011757955 0.012848047 0.009056532 0.026949072 0.011622633 0.0061496207 0.011169055 0.0035785078 0.006861313 0.0014334079 0.008314769 0.0006841265 0.0015186105 0.0005738644 0.00050369755 0.015156033 0.0003508341 0.032116357 0.007214653 0.02864811 0.013158785 0.082972266 0.0052650175 0.02130816 0.0078085647 0.06440563 0.0019371054 0.0045658555 0.02255362 0.010988626 0.04541046 0.036040686 0.010983613 0.0013005922 0.055750046 0.038614307 0.054096114 0.011524901 0.012978356 0.0036035674 0.002676363 0.008825984 0.0010249368 0.00036586987 0.00040095326 0.00044104859 0.0004535784 0.00036586987 5.467454 30.0 128.0 10.0 11.0 2423616.0 2482176.0 1.0 2660.0 1477.0 1.0 1.0 1.0 1.0 0.0 1540515500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1287168.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -126464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 643072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1287680.0 0.0 302592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -7.9981422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.90848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3160725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.235317 0.0 6.8374147 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -126256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 642948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1287078.0 0.0 302536.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 2.0 2.0 1.0 1.0 1.0 2.0 0.0 0.0 2.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 3.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 3.0 0.0 -1.0 0.0 -4.0 1.0 -1.0 -3.0 -2.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 2.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 4.0 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 0.0 1.0 -3.0 -1.0 1.0 2.0 1.0 -3.0 0.0 1.0 2.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -2.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 3.0 -1.0 0.0 2.0 -2.0 2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 3.0 1.0 0.0 2.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 3.0 2.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 3.0 -2.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -2.0 1.0 1.0 -2.0 0.0 0.0 -3.0 -6.0 0.0 -4.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 4.0 -2.0 -1.0 1.0 2.0 -2.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 -2.0 0.0 0.0 -2.0 1.0 2.0 -2.0 -1.0 0.0 -1.0 -1.0 -3.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 2.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 3.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 1.0 -2.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 4.0 0.0 -3.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 -3.0 1.0 2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -4.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 2.0 0.0 -1.0 -2.0 2.0 -1.0 1.0 2.0 1.0 -1.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 2.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 2.0 0.0 -2.0 0.0 1.0 0.0 2.0 -3.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 -1.0 3.0 -2.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 2.0 -1.0 -1.0 1.0 1.0 -1.0 3.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 -2.0 2.0 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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 4.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 3.0 -2.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 3.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 2.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 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 0.0 1.0 2.0 -1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 2.0 -1.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 2.0 1.0 1.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 -3.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 3.0 0.0 3.0 1.0 0.0 1.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 4.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 2.0 -1.0 2.0 -2.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 1.0 1.0 -1.0 -3.0 0.0 0.0 -1.0 -2.0 1.0 -2.0 -1.0 1.0 -2.0 0.0 2.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 1.0 -1.0 2.0 1.0 -2.0 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 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -3.0 -2.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 2.0 -3.0 -2.0 -1.0 -2.0 -1.0 0.0 -2.0 2.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 5.0 1.0 -7.0 6.0 -6.0 6.0 0.0 7.0 -1.0 4.0 1.0 3.0 -4.0 6.0 5.0 -1.0 -6.0 -6.0 -2.0 -5.0 -14.0 -5.0 2.0 11.0 0.0 -1.0 1.0 -4.0 -7.0 7.0 4.0 5.0 6.0 0.0 2.0 0.0 -2.0 2.0 7.0 -1.0 0.0 2.0 0.0 2.0 0.0 -6.0 -8.0 -4.0 3.0 5.0 -5.0 0.0 4.0 -2.0 13.0 -3.0 -8.0 -7.0 2.0 -2.0 -4.0 4.0 4.0 -4.0 -9.0 2.0 4.0 2.0 9.0 7.0 2.0 2.0 -5.0 -2.0 9.0 2.0 -5.0 1.0 3.0 1.0 0.0 -2.0 3.0 3.0 1.0 -5.0 -2.0 2.0 3.0 -1.0 -8.0 1.0 0.0 7.0 -2.0 -1.0 6.0 -6.0 3.0 -1.0 -2.0 4.0 6.0 7.0 2.0 0.0 -4.0 -8.0 2.0 -3.0 5.0 -2.0 2.0 8.0 1.0 -3.0 7.0 0.0 3.0 8.0 6.0 1.0 -3.0 -1.0 4.0 2.0 4.0 223224.0 1650128.0 700.0 1873352.0 302536.0 2052096.0 0.0 0.0 6976.0 2416640.0 126256.0 2355200.0 84.0 1542256.0 0.0 0.0 0.0 0.0 24.0 1542436.0 64.0 1542344.0 0.0 0.0 6180.0 1294336.0 0.0 0.0 0.0 0.0


Input: 0.47619963 0.016030567 0.0055605364 0.0030844433 0.0037781761 0.0020811989 0.010640795 0.0013341018 0.002924351 0.0015902494 0.003105789 0.0008965164 0.0013020834 0.0014728484 0.002358692 0.0012807377 0.0035220287 0.0014088114 0.0032445355 0.0012380464 0.0010779542 0.0021025443 0.0014728484 0.00092853484 0.0020811989 0.001376793 0.0008965164 0.0018677425 0.0015795765 0.00086449797 0.0011099727 0.0005016223 0.0051869876 0.00056565914 0.00076844264 0.0010032445 0.0010672815 0.00076844264 0.0005443135 0.0003628757 0.0026575308 0.0012593921 0.0017610143 0.001035263 0.0027215676 0.0009071892 0.0076844264 0.0008324795 0.017001793 0.0054431353 0.0048454576 0.005058914 0.0049308403 0.0044505633 0.0036927937 0.0037781761 0.004343835 0.0050909324 0.00069373293 0.00087517075 0.0005016223 0.0018677425 0.0005229679 0.0005229679 0.0017930327 0.007012039 0.010043118 0.006094177 0.0053790985 0.0052723703 0.0039809598 0.0006190232 0.011942879 0.002710895 0.00058700476 0.0012273736 0.0016222678 0.0018677425 0.0005976776 0.0006083504 0.0037568307 0.0005016223 0.0018997609 0.004813439 0.0022199454 0.0011633368 0.0020278348 0.0011099727 0.0009712261 0.00064036885 0.0002988388 0.0011633368 0.000747097 0.0007791154 0.00058700476 0.00092853484 0.001035263 0.0067025274 0.0030097335 0.005219006 0.0043331627 0.012636612 0.0031911714 0.0016115949 0.00144083 0.010117828 0.00042691256 0.0009605533 0.006659836 0.003276554 0.0073855873 0.011057035 0.0044505633 0.0012380464 0.008367486 0.008826417 0.012028262 0.005912739 0.00144083 0.0005229679 0.002753586 0.0036607753 0.00092853484 0.00092853484 0.0003095116 0.000576332 0.00039489413 0.00032018442 0.004888149 0.00078978826 0.00023480192 0.0017396687 0.000576332 0.0006830601 0.00020278347 0.00026682037 0.00082180667 0.0015582308 0.00055498636 0.0060621584 0.0004482582 0.0020491802 0.00023480192 0.00043758538 0.0025401297 0.00034153005 0.0007791154 0.0003628757 0.0008538251 0.00055498636 0.00032018442 0.0003095116 0.0009818989 0.00043758538 0.00023480192 0.00019211066 0.00026682037 0.000288166 8.538251e-05 0.00010672814 0.008015283 0.00076844264 0.00078978826 0.0007364242 0.0009925717 0.0009605533 0.0008324795 0.000917862 0.0012593921 0.000576332 0.0006083504 0.000576332 0.0006510417 0.00048027665 0.00040556694 0.00043758538 0.0010779542 0.00024547472 0.00024547472 0.00026682037 0.00032018442 0.00027749318 0.00041623975 0.000288166 0.0024867656 0.000458931 0.000288166 0.00017076502 0.00023480192 0.0002241291 0.00012807376 0.0002988388 0.0015475581 0.00039489413 0.0003095116 0.0012273736 0.0010245901 0.00033085723 0.00026682037 0.0004482582 0.0010459358 0.00043758538 0.00017076502 0.00094988046 0.013202271 0.0003628757 0.00026682037 0.00062969606 0.0010779542 0.00042691256 0.0005016223 0.00041623975 0.0002988388 0.00042691256 0.000288166 0.0005016223 0.0022839822 0.0006083504 0.0005229679 0.0006510417 0.0007044057 0.00043758538 0.00086449797 0.0006723873 0.0022306181 0.0009605533 0.00018143785 0.00021345628 0.0005229679 0.00034153005 0.00016009221 0.00018143785 0.0032658812 0.0017716872 0.0008858436 0.000747097 0.0011419911 0.00017076502 0.00016009221 0.00017076502 0.00087517075 0.00033085723 0.00020278347 0.001152664 0.00040556694 0.00048027665 0.00020278347 0.0002241291 0.0010139174 0.0003095116 0.00049094943 0.00026682037 0.00032018442 0.00024547472 0.0026361851 0.019445868 0.16575521 4.8828126e-05 4.340278e-05 0.00015190973 0.0001953125 1.0850695e-05 1.0850695e-05 2.7126736e-05 1.0850695e-05 1.6276043e-05 0.00013020834 2.170139e-05 0.00021701389 1.6276043e-05 0.0 1.0850695e-05 0.010584853 1.6276043e-05 5.4253474e-06 2.7126736e-05 0.0001030816 5.4253473e-05 4.8828126e-05 1.6276043e-05 2.170139e-05 2.7126736e-05 8.680556e-05 3.7977432e-05 2.7126736e-05 1.6276043e-05 2.170139e-05 1.6276043e-05 0.01038954 8.138021e-05 8.138021e-05 8.680556e-05 0.0001953125 4.340278e-05 2.170139e-05 3.2552085e-05 3.2552085e-05 1.6276043e-05 2.7126736e-05 4.340278e-05 2.170139e-05 1.6276043e-05 1.6276043e-05 5.4253474e-06 0.019677734 0.0002875434 0.00014105903 8.680556e-05 0.0004231771 0.00018988716 0.00018446181 0.00016276042 0.0002061632 9.2230905e-05 0.00038519964 5.4253473e-05 4.8828126e-05 5.967882e-05 0.00013563369 8.680556e-05 0.045562066 0.0009928385 0.00045572917 0.00041775173 0.0007324219 0.0003092448 0.0001953125 0.00021158854 0.0002983941 0.00018988716 0.00058051216 0.00014105903 0.0004014757 0.00046657986 0.00047743056 0.004123264 0.016465928 0.00091145834 0.00018988716 0.00021701389 0.00044487847 0.0001030816 0.00014648438 0.000108506945 0.00028211807 8.680556e-05 0.00025499132 0.00011393229 0.0001030816 8.138021e-05 8.680556e-05 0.002625868 0.008306206 0.00022786458 7.5954864e-05 4.340278e-05 0.000499132 6.510417e-05 5.967882e-05 0.00017903646 0.00054253475 5.967882e-05 0.00023328993 5.967882e-05 5.4253473e-05 0.0004720052 0.00018988716 4.340278e-05 0.018804254 0.0014160157 0.0024631077 0.024831815 0.017556423 0.0040961374 0.030973308 0.018663194 0.0012532552 0.000124783 0.00032552084 0.00014648438 0.00011935764 0.0005750868 0.00018446181 0.0006890191 0.099408634 0.003000217 0.007747396 0.015863715 0.009673394 0.003993056 0.023882378 0.014605035 0.0013563368 0.0011013455 0.0037868924 0.0007432726 0.0007324219 0.0010416667 0.0006076389 0.0013454861 0.03484158 0.0022406685 0.0027940539 0.007958984 0.00609809 0.0015679253 0.0066840276 0.0050889757 0.0005913628 0.00060221355 0.001312934 0.0004828559 0.003249783 0.0012315538 0.0012369792 0.0017957899 0.050960287 0.0061903214 0.004551866 0.004172092 0.0040690103 0.0028049045 0.0046440973 0.0039442275 0.0023763021 0.0011067708 0.0016981337 0.0016655816 0.0036838108 0.0016547309 0.0037434895 0.002734375 0.01742079 0.0013834635 0.0023111978 0.0018337674 0.0020724826 0.0015733507 0.006358507 0.004345703 0.0007866754 0.00052083336 0.003000217 0.00066189235 0.0004828559 0.00047743056 0.0006510417 0.00056423614 0.00906033 0.0020833334 0.0016276041 0.0037163629 0.0032009548 0.0011284723 0.0022569445 0.0012478299 0.0017795139 0.00032009548 0.00018446181 0.00015190973 0.0024359808 0.0009168837 0.0006130642 0.002609592 0.015614149 0.0028862846 0.0036295573 0.0025065104 0.01077474 0.0037272135 0.0018771702 0.0020670572 0.00827908 0.0021755642 0.0014160157 0.0012369792 0.008409288 0.0024739583 0.0032118056 0.0074924044 0.011691623 0.003624132 0.003108724 0.0024576823 0.0059733074 0.00405816 0.0026909723 0.0025173612 0.0038194444 0.00211046 0.0015028212 0.0017035591 0.002718099 0.0010742188 0.0018608941 0.0046440973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 458.0 31.041485 14217.0 0.002602518 0.00021101498 0.00035169165 0.0005627066 0.0002813533 0.0002813533 7.033833e-05 0.00014067665 0.0007033833 0.00021101498 0.0011254132 0.00014067665 0.0018991348 0.0004923683 0.026095519 0.00021101498 0.06513329 0.020538792 0.024618415 0.016951537 0.01899135 0.015263417 0.015052402 0.014349019 0.014067666 0.020679468 0.0002813533 0.00021101498 0.00021101498 0.0013364282 0.00035169165 0.0 0.00091439823 0.033410706 0.0074558626 0.027924316 0.025532814 0.02398537 0.019483717 0.0016177816 0.0035872548 0.009706689 0.0002813533 0.002602518 0.0009847366 0.006049096 0.0011957516 0.0021101497 0.008721952 0.0005627066 0.0029542097 0.013997328 0.007737216 0.0023211648 0.0064007877 0.0031652248 0.0005627066 0.00014067665 0.00014067665 0.0018287965 0.0016177816 0.0016881198 0.0016881198 0.0026728564 0.0006330449 0.027642963 0.0088626295 0.024548076 0.01765492 0.04867412 0.010410072 0.004501653 0.0032355632 0.047759723 0.00091439823 0.0008440599 0.025814166 0.014700711 0.031792924 0.051909685 0.015826123 0.00014067665 0.032848 0.036575932 0.05929521 0.020398116 0.0066118026 0.0008440599 0.004923683 0.014419357 0.0016177816 0.0 7.033833e-05 0.0 7.033833e-05 0.0 5.4320717 0.0 0.0 0.0 3.0 93696.0 110592.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1425187500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 6.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3942723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4461846 0.0 0.0 0.0 -1.3145586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5401726 0.0 0.0 -4.0642033 0.0 0.0 0.0 0.0 0.0 -5.901887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1356.0 0.0 0.0 0.0 -9768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21136.0 0.0 0.0 -58.0 0.0 0.0 0.0 0.0 0.0 -57240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1468.0 40960.0 936.0 46176.0 0.0 0.0 1320.0 106496.0 28.0 98032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 42432.0


Input: 0.056739654 0.008309888 0.0061743627 0.0056643244 0.0057669543 0.0049593938 0.004203667 0.0054207086 0.0050475104 0.005625968 0.0037527187 0.004468016 0.0049593938 0.003168041 0.0043208096 0.0046432116 0.0050402535 0.0037724152 0.004934514 0.004163237 0.004357093 0.003171151 0.004104147 0.003843945 0.0050713536 0.0033515303 0.003161821 0.0029285718 0.0041518337 0.0034355 0.0037890018 0.0037910752 0.006170216 0.0038211383 0.0034800763 0.0030229082 0.0048940843 0.004164274 0.0038418716 0.0037195454 0.0047302917 0.003892668 0.003327687 0.0030954746 0.004368496 0.0037309488 0.0037236921 0.0035816694 0.0055191917 0.003950721 0.0031037678 0.0029026554 0.0036749688 0.003069558 0.0026849562 0.0028684454 0.0041673835 0.0033193936 0.0035236161 0.0033577501 0.004003591 0.0032209107 0.0035008097 0.0034520866 0.0066004307 0.003948648 0.0036148424 0.0032167642 0.004160127 0.003222984 0.003542276 0.003066448 0.0050008604 0.0037775985 0.0037071055 0.0035878893 0.004130064 0.0031234645 0.0035671561 0.003465563 0.0051656896 0.0036293557 0.0036490525 0.003337017 0.0039351713 0.0033836667 0.0033618968 0.0035319095 0.004651505 0.0036417958 0.0038076618 0.003502883 0.004110367 0.0033878135 0.0036853356 0.003785892 0.005912087 0.0036231359 0.0033411635 0.0029544884 0.004003591 0.0030560815 0.0032665238 0.0030312014 0.0049780537 0.0031607843 0.003194994 0.003050898 0.003579596 0.0028300888 0.003088218 0.0032001776 0.004503262 0.0032914039 0.003222984 0.0031400512 0.0038905947 0.0033287236 0.0032924404 0.0036303925 0.0046162587 0.0032965872 0.0034769664 0.0031701142 0.004042984 0.0031991408 0.0034707463 0.0033473836 0.008645766 0.0045986352 0.0040170676 0.0035256895 0.0043674596 0.00342928 0.0030187615 0.0033826302 0.0045395456 0.003834615 0.0029575985 0.0031887742 0.003729912 0.0027969158 0.0028477123 0.0029814416 0.0052330727 0.0032126175 0.0035018462 0.0030312014 0.0036604556 0.0031752975 0.0033017704 0.0032654873 0.0045395456 0.002842529 0.0030394949 0.0027036162 0.0035142864 0.0032219475 0.002980405 0.0031535276 0.0050195204 0.0034116567 0.003269634 0.0027979524 0.0037703419 0.0030104683 0.0030519348 0.0031846275 0.004138357 0.002999065 0.0031203544 0.0030146148 0.003640759 0.0028300888 0.0029182052 0.0030353481 0.004676385 0.0031110244 0.0038429082 0.0028560054 0.0035630094 0.0031473078 0.0029855883 0.0031203544 0.0042575733 0.0031504177 0.003337017 0.003183591 0.003646979 0.0031887742 0.0033328703 0.0033422003 0.006717574 0.004061644 0.003726802 0.0033411635 0.004120734 0.0032499372 0.0033069537 0.0032250574 0.00433636 0.003330797 0.003116208 0.0030840712 0.0036459423 0.0029814416 0.0030768146 0.0027938057 0.0042482433 0.003272744 0.0030934012 0.0030052848 0.003708142 0.0030239448 0.002931682 0.0029420485 0.0039818212 0.003105841 0.0027212393 0.0026383062 0.0035256895 0.0029379018 0.003579596 0.0028860688 0.004956284 0.0032333506 0.0033971434 0.002974185 0.0038045517 0.0030726679 0.0031970674 0.0029140585 0.004445209 0.0054528452 0.0034665999 0.0031348676 0.0037941851 0.0030809613 0.0032499372 0.0031918841 0.004615222 0.0033173203 0.00341373 0.0030405314 0.0037371686 0.003085108 0.0033162837 0.003238534 0.0043456894 0.0030332748 0.0031856643 0.0028736289 0.0040139575 0.0030934012 0.0042264736 0.004519849 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 0.09923266 0.062017944 0.06244292 0.055320036 0.06060032 0.059549555 0.054939684 0.05447527 0.06045918 0.05315053 0.05212623 0.05295387 0.056432027 0.050539963 0.056667607 0.05383184 4020.0 5.7029853 22926.0 0.01709849 0.010512082 0.009377999 0.00872372 0.013478147 0.01247492 0.01182064 0.011471692 0.012605775 0.009726947 0.008505627 0.008592864 0.013870714 0.010512082 0.011777022 0.009945041 0.016749542 0.011907877 0.0087673385 0.0075460174 0.009814185 0.008462008 0.007851348 0.008331153 0.010337608 0.00841839 0.009596092 0.008854575 0.011602547 0.008941812 0.00963971 0.009203524 0.018014481 0.010861031 0.010337608 0.009072669 0.010861031 0.008854575 0.010686557 0.008331153 0.014219663 0.011602547 0.009726947 0.008941812 0.011428073 0.009377999 0.011733403 0.009552473 0.014786705 0.009683329 0.009945041 0.00902905 0.012038733 0.009377999 0.009596092 0.009770567 0.01369624 0.009203524 0.010512082 0.009596092 0.011122743 0.009814185 0.010381226 0.010686557 0.017927244 0.010991887 0.009683329 0.008200296 0.0130855795 0.008243916 0.009421618 0.008331153 0.015440984 0.009290761 0.008898194 0.00872372 0.011384455 0.007982204 0.010032278 0.007894967 0.013216436 0.007982204 0.0086801015 0.008810957 0.011471692 0.009465236 0.008156678 0.007982204 0.01090465 0.008898194 0.011907877 0.008549245 0.011340836 0.008941812 0.010075896 0.00872372 6.554695 0.0 0.0 0.0 14.0 964634.0 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