Input: 0.05649835 0.008281772 0.006157394 0.0056515895 0.0057444926 0.0049599796 0.004193015 0.0054183 0.0050435923 0.0056154607 0.0037450169 0.0044562398 0.004948625 0.0031814063 0.0043251435 0.004641013 0.005026044 0.003754307 0.004925915 0.0041630794 0.004356111 0.0031855353 0.004109402 0.0038379196 0.0050776564 0.0033424378 0.0031648902 0.0029388266 0.0041506924 0.0034353407 0.003778049 0.0037883716 0.006161523 0.0038286294 0.003489018 0.0030203746 0.004883593 0.00417237 0.003843081 0.003729533 0.004722561 0.0038936613 0.0033434702 0.0030967614 0.004364369 0.0037202428 0.0037171459 0.0035922432 0.0055204933 0.0039525 0.0031091485 0.0028913429 0.0036820492 0.0030802453 0.0026962468 0.0028572786 0.0041826926 0.0033125025 0.0035334048 0.0033537927 0.003989661 0.0032330188 0.0035117273 0.0034559858 0.006580618 0.003953532 0.0036221787 0.0032257931 0.0041558538 0.0032226965 0.003538566 0.0030781808 0.0049919793 0.0037759845 0.0037057912 0.0035808885 0.0041290154 0.0031266967 0.003567469 0.0034704374 0.0051581725 0.0036273398 0.00366863 0.0033300507 0.003919468 0.0033826956 0.0033620507 0.0035395983 0.004635852 0.0036469528 0.0038090164 0.0035086307 0.0041083703 0.0033971472 0.0036861782 0.0037935327 0.0059065563 0.0036294044 0.0033424378 0.002949149 0.0040164995 0.0030647616 0.003274309 0.0030492777 0.0049723666 0.0031772773 0.003204116 0.0030554712 0.0035922432 0.0028459236 0.0030977936 0.0031875998 0.004502691 0.003286696 0.003224761 0.0031411482 0.0038988227 0.0033383088 0.0032970186 0.0036294044 0.0046214005 0.0032959864 0.003473534 0.0031617933 0.0040392093 0.00319689 0.003485921 0.0033414057 0.008633771 0.0045966264 0.004019596 0.0035272113 0.0043695304 0.0034394697 0.003021407 0.0033940505 0.004531594 0.0038296615 0.0029656652 0.003192761 0.0037274684 0.002806698 0.002855214 0.0029842458 0.00523043 0.0032061804 0.0034983081 0.003042052 0.003672759 0.0031855353 0.0033217927 0.0032681155 0.0045450134 0.0028397301 0.0030482456 0.002712763 0.0035148242 0.0032288898 0.0029914714 0.0031504387 0.0050012697 0.0034115987 0.003278438 0.0027974078 0.0037718555 0.003021407 0.0030688907 0.0031814063 0.00414037 0.003001794 0.0031246322 0.0030234715 0.0036448883 0.0028479882 0.0029150848 0.0030389552 0.0046709483 0.0031266967 0.0038368874 0.0028665687 0.003570566 0.0031535353 0.0029997295 0.0031236 0.004249789 0.0031421806 0.003331083 0.003180374 0.003647985 0.0031937934 0.0033290186 0.0033641153 0.0067179077 0.0040608863 0.0037285008 0.0033372766 0.004107338 0.0032526318 0.003298051 0.0032278576 0.0043292725 0.0033300507 0.0031184386 0.0030771487 0.003639727 0.002997665 0.0030854067 0.0027974078 0.004246692 0.003266051 0.0030936645 0.0029966328 0.0037047588 0.003014181 0.0029419234 0.0029532781 0.003982435 0.0031122451 0.002741666 0.0026415375 0.0035365014 0.0029481167 0.0035860497 0.0028872138 0.004948625 0.0032412768 0.003396115 0.0029749554 0.00381521 0.0030688907 0.0031979224 0.0029109558 0.00443353 0.005445139 0.0034714695 0.0031370192 0.003782178 0.0030709552 0.0032485027 0.0031989545 0.0046110777 0.0033125025 0.0034250182 0.0030482456 0.003749146 0.003090568 0.0033197282 0.0032423092 0.0043550786 0.0030317295 0.003184503 0.0028583107 0.0040185642 0.003094697 0.00421366 0.0045006266 0.011630911 0.0 0.0 0.0 0.0 0.0 1.0333995e-06 3.1001985e-06 0.0 1.0333995e-06 2.066799e-06 0.0 0.0 1.0333995e-06 0.0 1.0333995e-06 0.0020450975 4.133598e-06 2.066799e-06 6.200397e-06 5.166997e-06 1.0333995e-06 3.1001986e-05 1.1367394e-05 0.0 0.0 1.0333994e-05 0.0 0.0 0.0 0.0 0.0 0.0009471106 2.5834986e-06 6.200397e-06 1.2917493e-05 9.300596e-06 5.683697e-06 5.1669973e-05 2.2734788e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028526993 3.5652283e-05 2.7901786e-05 1.0850695e-05 2.2218088e-05 3.4618883e-05 4.236938e-05 1.808449e-05 3.5652283e-05 5.166997e-06 9.817295e-06 1.6017691e-05 2.6351687e-05 7.233796e-06 1.7051092e-05 1.2917493e-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 0.00087683945 1.18840935e-05 1.2400794e-05 8.267196e-06 1.34341935e-05 1.6017691e-05 1.34341935e-05 1.1367394e-05 1.0850695e-05 1.34341935e-05 6.7170968e-06 1.34341935e-05 1.18840935e-05 1.0333994e-05 1.808449e-05 9.817295e-06 0.001619337 6.510417e-05 5.6836972e-05 4.8569775e-05 4.7536374e-05 3.0485284e-05 2.2734788e-05 0.0005528687 2.9968585e-05 1.7051092e-05 1.963459e-05 0.00027643435 2.0667989e-05 0.00027333415 1.6534392e-05 7.750496e-05 0.0007404307 3.7202382e-05 3.4102184e-05 2.0667989e-05 2.2218088e-05 1.7051092e-05 1.3950893e-05 1.18840935e-05 1.6534392e-05 2.2734788e-05 1.911789e-05 1.756779e-05 6.7170968e-06 4.650298e-06 2.2734788e-05 5.0636572e-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 0.0013139674 3.7202382e-05 4.2886077e-05 5.993717e-05 4.236938e-05 3.1518684e-05 9.1455855e-05 5.838707e-05 3.926918e-05 5.735367e-05 4.3919477e-05 4.2886077e-05 7.802166e-05 7.7504965e-06 8.783895e-06 0.00016069361 0.0011651579 6.9237765e-05 4.5986275e-05 4.5986275e-05 3.823578e-05 3.771908e-05 4.7536374e-05 5.993717e-05 5.2186675e-05 5.0636572e-05 6.820437e-05 5.1669973e-05 7.492146e-05 1.4467592e-05 4.3919477e-05 0.00025059938 0.004567109 0.00029193534 0.00027023396 0.00026971727 0.00029865245 0.00023974868 0.00033068782 0.00030640294 0.00033017114 0.00034980572 0.00032707094 0.00035032243 0.00051928323 0.00015294312 0.0001834284 0.0007362971 0.0031864874 0.00027281747 0.00029968584 0.0002480159 0.00028780175 0.00028160136 0.00034205522 0.00093057624 0.000406126 0.00035032243 0.00032345403 0.0006670594 0.00046141286 0.00043402778 0.00017412781 0.00085823826 0.0022440269 0.00018136161 0.00028935185 0.00024439898 0.00029761906 0.00029400215 0.00028470156 0.0004014757 0.00044177828 0.00032190394 0.00024543237 0.00031622025 0.00045934608 0.00016121032 0.0001891121 0.0010354663 0.00034360532 5.4253473e-05 4.2886077e-05 4.4952878e-05 5.4253473e-05 4.8053076e-05 5.3220072e-05 5.1669973e-05 7.027116e-05 4.8053076e-05 3.823578e-05 4.9086473e-05 4.4436176e-05 2.6351687e-05 4.185268e-05 4.7019676e-05 0.09901827 0.06199312 0.06245608 0.055353526 0.060611464 0.059548613 0.055029556 0.05451234 0.060482286 0.05324746 0.052184608 0.053008225 0.056436528 0.050585937 0.05666181 0.05384373 4039.0 5.703392 23036.0 0.017320715 0.010418476 0.009420038 0.0087688835 0.013413787 0.01245876 0.011807606 0.011547144 0.012632402 0.00972391 0.008551832 0.008638653 0.0138044795 0.010548706 0.011720785 0.009854142 0.016756382 0.0118510155 0.008725473 0.007466574 0.009767321 0.008551832 0.007813857 0.00829137 0.010331655 0.008421601 0.00959368 0.008855704 0.011460323 0.009029346 0.00972391 0.009202987 0.01797187 0.010852579 0.010331655 0.009029346 0.010765758 0.008899114 0.010678938 0.008378191 0.014151762 0.011590554 0.00972391 0.008985935 0.011373502 0.009376628 0.011590554 0.00959368 0.014716096 0.00959368 0.009940962 0.009202987 0.012068068 0.009376628 0.009637089 0.00972391 0.013630839 0.009289808 0.010548706 0.009550269 0.011156451 0.009854142 0.010331655 0.010678938 0.01788505 0.010939399 0.0096805 0.008161139 0.013066504 0.008247959 0.009376628 0.00833478 0.015410662 0.009289808 0.008855704 0.008725473 0.0112866815 0.008074318 0.009940962 0.007813857 0.0132401455 0.007900678 0.008725473 0.008812293 0.011503734 0.009506859 0.008378191 0.008030908 0.011026219 0.008899114 0.011894426 0.008638653 0.011373502 0.009072755 0.010027783 0.008812293 6.555008 0.0 0.0 0.0 14.0 968754.0 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: 0.19084623 0.009620437 0.010553788 0.004417865 0.016651686 0.0021397953 0.0064211143 0.0023904175 0.014988938 0.0022780697 0.002295354 0.003261546 0.002927959 0.0016731195 0.0018027517 0.0031042588 0.0031785814 0.0018062085 0.0017111449 0.0017128733 0.0028968474 0.0014086697 0.0014363247 0.0013948424 0.0028173395 0.0046494748 0.0015002765 0.0016385509 0.0019220132 0.0016316372 0.007269773 0.0019479397 0.0027084486 0.0019462113 0.0015953402 0.0015227462 0.00324599 0.0017889242 0.0017716399 0.001514104 0.0020430032 0.0014708933 0.0014570658 0.001453609 0.0020430032 0.001393114 0.0017336145 0.0015158324 0.0038301991 0.0020326327 0.0021276963 0.0022175747 0.002525235 0.0019341123 0.0021397953 0.0070692752 0.0025701742 0.0021397953 0.002186463 0.0021847344 0.0026894358 0.001992879 0.0026894358 0.002746474 0.0034447594 0.0024007882 0.0025148646 0.008486588 0.0025546183 0.0075480505 0.012289132 0.004789477 0.0019755946 0.0023420216 0.0018044801 0.001453609 0.0020067063 0.0022642422 0.0019755946 0.001985965 0.0022780697 0.0015607716 0.0019116427 0.0026721517 0.002858822 0.003379079 0.0022435011 0.001695589 0.0018407771 0.001526203 0.0016420077 0.0019237417 0.002352392 0.0019427544 0.0017854674 0.002041275 0.0019721377 0.002685979 0.0017578125 0.0022054757 0.0021311531 0.0028398093 0.002367948 0.0018027517 0.002279798 0.0022158462 0.0020827572 0.001965224 0.0034447594 0.0021000414 0.0027170908 0.0027274613 0.0025615322 0.0017526272 0.0028847484 0.00264104 0.003869953 0.0020672013 0.01830925 0.0023748616 0.002392146 0.00198078 0.0019099143 0.0017422567 0.002146709 0.0018355919 0.0018113938 0.0023212803 0.0040531666 0.0019220132 0.0019392975 0.0025079509 0.0029504288 0.0026047428 0.0016938606 0.006939643 0.0035467367 0.02910329 0.0015642284 0.01409534 0.0022365875 0.025888413 0.0017871958 0.0020775718 0.0026081996 0.0030766039 0.0016039823 0.0024059734 0.001916828 0.002613385 0.0017387997 0.0021916481 0.0026047428 0.0020879426 0.0018770741 0.0019946073 0.0023541206 0.0019617672 0.0020188054 0.0019876936 0.0021155972 0.0022573285 0.0015884264 0.0025114077 0.0024630115 0.0019237417 0.0018183076 0.001747442 0.0019012721 0.0018546046 0.001453609 0.0019946073 0.0017889242 0.0019306554 0.001856333 0.0019375691 0.0017820105 0.0019237417 0.0017664547 0.0017336145 0.002170907 0.0020067063 0.0020118917 0.0019738663 0.0044265073 0.004429964 0.002710177 0.0025563468 0.002718819 0.00198078 0.002138067 0.0021432522 0.0047825635 0.0019064574 0.0019825082 0.0021951052 0.0023990597 0.001928927 0.0018286781 0.010641939 0.0024958518 0.0018874446 0.0018131222 0.0020931277 0.0022728844 0.0019427544 0.0019030005 0.002058559 0.0033445104 0.0019116427 0.0018978153 0.0020447318 0.0027240044 0.0020360895 0.001659292 0.0022054757 0.0023662196 0.001977323 0.0019012721 0.0021536227 0.0041810703 0.002125968 0.001820036 0.0022331306 0.0030454923 0.0020499171 0.001756084 0.0019911504 0.0021363385 0.0021553512 0.0019548535 0.0021397953 0.010576258 0.0020913994 0.0018113938 0.0023852324 0.002879563 0.0019513966 0.0018684319 0.002062016 0.009048327 0.0019133711 0.0016852184 0.0020516454 0.0023817755 0.0019375691 0.0018027517 0.0022435011 0.009058697 0.0018684319 0.0018753457 0.0019358407 0.0030696902 0.0024301715 0.0051161502 0.048480712 0.0052663386 1.0388962e-05 3.0301142e-05 6.925975e-06 3.4629875e-06 0.0 0.0 0.0 1.7314937e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016059605 5.8005044e-05 3.9824357e-05 3.289838e-05 1.2986204e-05 1.2120457e-05 6.925975e-06 4.3287346e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046611815 0.00010821836 0.0001238018 8.2245955e-05 1.5583444e-05 1.4717697e-05 2.8569648e-05 4.2421598e-05 4.5884586e-05 4.5884586e-05 4.155585e-05 2.510666e-05 1.5583444e-05 1.7314937e-06 4.3287346e-06 6.233378e-05 0.0015167886 7.272274e-05 4.415309e-05 4.5884586e-05 2.510666e-05 1.2120457e-05 1.2120457e-05 1.2120457e-05 1.644919e-05 6.0602283e-06 9.523216e-06 0.0 0.0 0.0 0.0 0.0 0.005579739 5.4542055e-05 0.00015410295 6.8394e-05 1.644919e-05 0.00011860733 6.0602284e-05 0.00021557098 0.00018959858 9.436641e-05 0.0001826726 5.8005044e-05 5.3676307e-05 2.5972407e-05 3.0301142e-05 0.00018959858 0.0012986204 3.0301142e-05 7.358849e-05 1.2986204e-05 6.0602284e-05 4.415309e-05 2.1643673e-05 1.9912179e-05 1.2986204e-05 8.657469e-05 5.194481e-06 3.4629875e-06 4.3287346e-06 9.523216e-06 2.0777925e-05 6.8394e-05 0.0081925625 0.00045538286 0.00034456726 0.00027790476 0.00015150571 9.696365e-05 0.00013419076 0.00026232132 0.000960979 0.00017488087 0.0001549687 0.00011860733 0.0001956588 6.233378e-05 0.00015843168 0.0006700881 0.01696431 0.00037400267 0.000622472 0.0004285447 0.0006813428 0.00054368906 0.00054022606 0.0006666251 0.00079648715 0.0008674784 0.00042335023 0.0005090592 0.00046057734 0.00038006288 0.00042248447 0.0019150322 0.013426003 0.00057485595 0.00046230885 0.00045105413 0.00043287344 0.0003584192 0.000564467 0.00086834416 0.0010614058 0.0009938774 0.00048481827 0.00054109184 0.00049174426 0.00035495622 0.00044239667 0.0015410294 0.024879834 0.0011393229 0.0010423593 0.0011921335 0.0038317959 0.00212108 0.005688823 0.0033028245 0.001238018 0.0014198249 0.0011211422 0.001330653 0.0016509793 0.0015964373 0.0015159228 0.0054394878 0.035552762 0.002705459 0.0018293232 0.007835009 0.004186752 0.0025063374 0.0037123228 0.003982436 0.005529525 0.0029227615 0.0026110928 0.0032378933 0.003615359 0.002999813 0.0031876802 0.009330154 0.104954496 0.010682451 0.0042473543 0.010951698 0.025673725 0.0072566904 0.0050196005 0.020073207 0.067300566 0.0069935033 0.0046395375 0.010115387 0.013817321 0.0077155363 0.012156818 0.041238986 0.02531011 0.0039391485 0.0020613433 0.0032846436 0.006370166 0.0026968017 0.0031790226 0.0037980317 0.009053116 0.0031357352 0.0032933012 0.0035564883 0.0047217836 0.0037564759 0.0049338914 0.012654622 0.0042092614 0.0010726604 0.00102591 0.0009973404 0.0010813179 0.001244944 0.0012267634 0.0012423468 0.0009445299 0.0010137896 0.001265722 0.0014276167 0.0016224097 0.0019072404 0.0020396996 0.0042741923 0.021071414 0.017680284 0.017104562 0.017468175 0.01736342 0.01667342 0.017108025 0.018179819 0.017920095 0.01733485 0.016938338 0.01759717 0.017529644 0.017820533 0.017997146 0.019674098 2520.0 8.422222 21224.0 0.01055409 0.004099133 0.004334715 0.003392386 0.0054655108 0.004193366 0.005277045 0.0034866189 0.005182812 0.0053712777 0.0035337354 0.0046174144 0.0050414624 0.0030154542 0.0058424426 0.0034866189 0.010224274 0.011449303 0.010224274 0.009093479 0.010035808 0.008999246 0.0104127405 0.008386732 0.009564644 0.011072371 0.009093479 0.010459857 0.009187712 0.008009801 0.007868451 0.010459857 0.019082172 0.014417641 0.014040709 0.019459102 0.014700339 0.013569544 0.007774218 0.009705993 0.0067376555 0.021249529 0.0036279683 0.0031568035 0.011213721 0.0130041465 0.011732002 0.014417641 0.012108933 0.0043818317 0.011732002 0.018139841 0.027845835 0.0052299285 0.0050414624 0.006078025 0.0074444027 0.00654919 0.0042404826 0.004193366 0.005182812 0.004287599 0.0038164342 0.0057482095 0.006690539 0.027468903 0.008104033 0.017998492 0.016537882 0.031944968 0.006926121 0.00961176 0.008386732 0.019411987 0.010224274 0.009234829 0.024406333 0.013852242 0.031332456 0.031285338 0.011166604 0.004476065 0.027139088 0.017385978 0.03071994 0.010365624 0.0078213345 0.013286845 0.008339616 0.008339616 0.0070203543 0.0039106673 0.004334715 0.0040049003 0.0031568035 0.0037693176 6.2972264 0.0 0.0 0.0 3.0 578560.0 573440.0 0.0 0.0 167.0 1.0 1.0 0.0 0.0 0.0 1546025100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 99.0 4.0 0.0 4.0 0.0 202752.0 1024.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -8192.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -202752.0 -4096.0 327168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.781183 0.0 0.0 -3.3200889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.822838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5131655 -5.507445 6.9928813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8136.0 0.0 0.0 -866.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -202570.0 -3916.0 326832.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 233472.0 326832.0 237568.0 0.0 0.0 0.0 0.0 8136.0 565248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 680.0 234232.0 0.0 0.0 0.0 0.0


Input: 0.033656128 0.004470646 0.0037265464 0.004128088 0.004364022 0.0035775753 0.0033242488 0.003591187 0.0044419104 0.0032592157 0.0033832323 0.0032100629 0.003827877 0.0033643274 0.003263753 0.0038256084 0.0042294185 0.0030784844 0.0032115753 0.003256191 0.0034860754 0.0033567655 0.0030762157 0.0033333232 0.0033597902 0.0031601537 0.003027819 0.0032645091 0.0034217986 0.0032894637 0.003283414 0.003499687 0.004832865 0.0031064637 0.0031442735 0.0030747033 0.0042785713 0.0034195299 0.0031979638 0.003267534 0.0032546786 0.0032924886 0.0032221621 0.003366596 0.0032940009 0.0034603646 0.0035072488 0.0033272738 0.004215807 0.0037348648 0.003499687 0.005456729 0.0034724637 0.0035306911 0.0033839885 0.0034830505 0.0035730381 0.0036668067 0.0038263646 0.0039125714 0.004169679 0.004096328 0.003869468 0.0037318398 0.004707336 0.0043927575 0.003976092 0.005483952 0.0038377077 0.007233039 0.0033900382 0.003484563 0.003378695 0.003499687 0.0032917324 0.0034149927 0.0034891001 0.0038762738 0.0035359845 0.0034943935 0.0045878566 0.003499687 0.0035163234 0.004399563 0.0035669885 0.005666196 0.0039397944 0.0038188028 0.0034361663 0.004500894 0.0037152036 0.0039284513 0.0034898564 0.004079691 0.0038006539 0.0037189845 0.0033454224 0.0038603935 0.0032463605 0.0034822943 0.0050135963 0.004723972 0.003545059 0.003663782 0.004429811 0.003934501 0.004337555 0.0033885257 0.0038263646 0.0035926993 0.00404415 0.004196146 0.0034180174 0.003206282 0.004406369 0.004016927 0.0052298694 0.0046869186 0.0033348356 0.0037492325 0.0035253977 0.003610092 0.0033144183 0.0034096993 0.0038240962 0.003739402 0.0035654763 0.0036955425 0.004048687 0.00325241 0.003089071 0.0044721584 0.0035654763 0.0039738235 0.0032433355 0.003301563 0.0034316292 0.0058794436 0.0033885257 0.012164966 0.0033446662 0.0057788696 0.0032312365 0.003359034 0.0035579142 0.0031790587 0.0032251868 0.0032236744 0.003374158 0.003442972 0.0033991125 0.0034452407 0.0033000505 0.0033522283 0.0030610918 0.0032962696 0.0034717077 0.003362059 0.0034482654 0.0035201043 0.0030868025 0.0035601829 0.0031208314 0.0034059184 0.003241067 0.0030981456 0.003187377 0.0032577035 0.0031616662 0.0031775464 0.003233505 0.0032705588 0.0032992943 0.0031881332 0.0033257613 0.0032811456 0.0032440918 0.0032440918 0.0034422157 0.0032970258 0.003259972 0.0031238561 0.003142005 0.00338172 0.0037719184 0.0038021663 0.004196902 0.0034104555 0.0034361663 0.003480782 0.0034263358 0.0034444844 0.0058522206 0.0033008067 0.003298538 0.005231382 0.0037983854 0.0032191372 0.0038225837 0.003732596 0.0034225546 0.0036040423 0.003408943 0.0034331414 0.0033416415 0.0030716786 0.0033454224 0.0034422157 0.0033862572 0.003298538 0.0036274844 0.0034338976 0.0033484471 0.0033045877 0.003503468 0.003534472 0.0039314763 0.0034891001 0.0033371043 0.003583625 0.0035246415 0.003408943 0.003439191 0.0035692572 0.0036622696 0.0032803894 0.0034422157 0.0034066746 0.0035624513 0.003568501 0.003309881 0.0034891001 0.009040354 0.004068348 0.0032440918 0.0044721584 0.004212026 0.0033348356 0.0035669885 0.003591943 0.0042377366 0.0034565837 0.0034717077 0.0035518645 0.004192365 0.0033492034 0.0034187736 0.0035843812 0.0049213404 0.003511786 0.0035390093 0.0036516828 0.005338762 0.0046445713 0.0057554273 0.019959105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020189863 2.9523982e-05 2.2710756e-05 2.2332244e-05 2.1196705e-05 8.175872e-05 2.2332244e-05 1.8547118e-05 1.9304143e-05 9.084302e-06 1.021984e-05 9.084302e-06 1.2112403e-05 9.084302e-06 1.021984e-05 9.084302e-06 0.0006041061 1.0598353e-05 1.4761991e-05 1.1355378e-05 1.17338905e-05 1.5519017e-05 5.7533915e-05 2.308927e-05 7.570252e-06 1.5140504e-06 2.2710756e-06 1.892563e-06 3.4066134e-06 1.5140504e-06 2.6495882e-06 5.677689e-06 0.0013951975 1.892563e-05 1.4004966e-05 3.7472746e-05 8.6679385e-05 1.0976865e-05 1.2869428e-05 3.482316e-05 9.160005e-05 4.9206637e-06 9.084302e-06 6.0562015e-06 1.4383479e-05 9.084302e-06 2.1575219e-05 0.0005579276 0.0017880935 2.5360345e-05 0.00012490916 1.7033068e-05 7.456698e-05 1.2112403e-05 0.0004087936 0.00023619186 0.0002070464 1.5140504e-06 1.892563e-06 2.2710756e-06 0.00029864645 2.6495882e-06 6.0562015e-06 0.00066883175 0.002118535 1.9304143e-05 0.00012074552 7.267442e-05 0.00037094235 0.00017752241 0.0013278222 0.0006760235 8.6300875e-05 4.9206637e-06 2.2710756e-06 3.4066134e-06 0.00011203973 3.0281008e-06 4.542151e-06 0.00032627786 0.0016491794 6.472565e-05 0.00022370095 0.00018698523 0.00022294391 9.7277734e-05 0.00069873425 0.00043377542 7.267442e-05 1.6276043e-05 3.0281008e-06 7.9487645e-06 3.785126e-05 5.677689e-06 6.8132267e-06 0.00014837694 0.0025458757 9.6520715e-05 0.00011696039 0.00038911094 0.0003910035 0.00015670422 0.0005969144 0.00034028283 0.00012150254 6.169755e-05 0.00019644803 0.00011468932 9.160005e-05 4.920664e-05 5.6019864e-05 0.00010181989 0.0017589481 0.0003213572 0.00034066133 0.0048199794 0.0006222747 0.00031681504 0.0004561077 0.00043415395 0.0003788911 0.00033082 0.00028691255 0.00027707123 0.00031681504 0.0003179506 0.00031075886 0.00033839027 0.0008406765 6.548268e-05 6.7375244e-05 0.00018130754 0.00038305475 0.00016011082 0.00033574068 0.00023013566 0.0003516382 0.00011393229 2.4224806e-05 0.000106740554 6.245458e-05 3.1038035e-05 0.00015708273 0.000764974 0.009229651 0.0012479561 0.0017521348 0.0018709878 0.004595143 0.003935774 0.0027722262 0.0020829549 0.006572493 0.00068056566 0.00049963663 0.0010632419 0.0024610888 0.0011381874 0.003545149 0.008490794 0.017374108 0.0026575369 0.003221142 0.0037605227 0.008430989 0.0084612705 0.0059789848 0.0047616884 0.012512869 0.0017093628 0.0015666636 0.0024739583 0.005675418 0.0030576247 0.007218235 0.016565982 0.04783415 0.04879368 0.04904009 0.050268743 0.04929521 0.050253984 0.049989402 0.051469766 0.04913434 0.050736584 0.049316786 0.05106097 0.05026231 0.05110185 0.051925495 0.052617416 7072.0 7.9138856 55967.0 0.027391141 0.006164347 0.0067718476 0.0052352278 0.0073793484 0.0059856703 0.0073972163 0.0058605964 0.0072721425 0.0065217004 0.006432362 0.0065574357 0.0064144945 0.009094645 0.008647953 0.0066646417 0.010738471 0.011149427 0.010720603 0.010577662 0.010541926 0.008969571 0.0092375865 0.008773027 0.009112513 0.008898101 0.009505602 0.009523469 0.012042811 0.015026712 0.012775386 0.00775457 0.006432362 0.013954652 0.007951114 0.011238766 0.012078546 0.0124359 0.009755749 0.009577072 0.007486555 0.011292369 0.0059141996 0.0064144945 0.008701556 0.009041042 0.011381707 0.008379938 0.011631855 0.0090589095 0.00936266 0.013775975 0.010613397 0.010845677 0.008344203 0.008969571 0.007915379 0.009041042 0.006468097 0.008094056 0.0075401575 0.008183394 0.008362071 0.008951704 0.005824861 0.01965444 0.007683099 0.012346561 0.014919506 0.03628924 0.008790894 0.010077367 0.009523469 0.021316133 0.0063608913 0.0078081726 0.017563922 0.012614576 0.021387603 0.02203084 0.01082781 0.005771258 0.025425697 0.01804635 0.026122537 0.012132149 0.007486555 0.008773027 0.008219129 0.009255454 0.006164347 0.00621795 0.00913038 0.0062536853 0.006057141 0.0055925814 6.439375 1.0 1.0 14.0 16.0 1322404.0 286720.0 0.0 0.0 15.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 217088.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -13312.0 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 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217088.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.752367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3116279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.503643 0.0 0.0 0.0 0.0 0.0 0.0 -4.9426403 4.0656247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 -12888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3201.0 0.0 0.0 0.0 0.0 0.0 -8632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -216860.0 0.0 0.0 0.0 0.0 0.0 0.0 -5454.0 13980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5454.0 237568.0 13980.0 270336.0 0.0 0.0 0.0 0.0 12888.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.4340701 0.0057164636 0.0076219514 0.006859756 0.002667683 0.006859756 0.00038109755 0.0030487804 0.0076219514 0.003429878 0.00038109755 0.0011432926 0.0019054879 0.004954268 0.0019054879 0.0057164636 0.003429878 0.0015243902 0.00038109755 0.00038109755 0.00038109755 0.0019054879 0.00038109755 0.0 0.0022865853 0.0007621951 0.0011432926 0.00038109755 0.00038109755 0.00038109755 0.0 0.0 0.009146341 0.00038109755 0.0019054879 0.0 0.017530488 0.0 0.0 0.00038109755 0.0030487804 0.0011432926 0.0 0.0011432926 0.0007621951 0.0007621951 0.0045731706 0.0 0.003429878 0.0015243902 0.0007621951 0.004954268 0.00038109755 0.0 0.00038109755 0.0 0.0030487804 0.0019054879 0.0007621951 0.0019054879 0.0007621951 0.0015243902 0.0007621951 0.0011432926 0.009527439 0.0038109757 0.002667683 0.0015243902 0.005335366 0.0007621951 0.0 0.0007621951 0.06859756 0.0019054879 0.0007621951 0.00038109755 0.004954268 0.0015243902 0.0011432926 0.00038109755 0.0019054879 0.00038109755 0.00038109755 0.0007621951 0.0019054879 0.0 0.0011432926 0.0045731706 0.0019054879 0.0 0.00038109755 0.0019054879 0.004954268 0.0 0.0007621951 0.0041920734 0.005335366 0.0060975607 0.0019054879 0.0011432926 0.0041920734 0.0015243902 0.0011432926 0.0007621951 0.0015243902 0.00038109755 0.0 0.00038109755 0.0011432926 0.00038109755 0.00038109755 0.0 0.0022865853 0.0 0.0015243902 0.0022865853 0.011432927 0.0022865853 0.00038109755 0.0007621951 0.0038109757 0.00038109755 0.0011432926 0.0 0.0007621951 0.0 0.00038109755 0.0 0.003429878 0.0 0.0 0.0121951215 0.0007621951 0.0030487804 0.00038109755 0.0007621951 0.0022865853 0.012957317 0.0019054879 0.03239329 0.0 0.008765244 0.00038109755 0.0 0.0022865853 0.0 0.0 0.0011432926 0.0 0.0007621951 0.00038109755 0.0 0.00038109755 0.00038109755 0.00038109755 0.0 0.0007621951 0.0 0.00038109755 0.0 0.0007621951 0.00038109755 0.00038109755 0.00038109755 0.00038109755 0.00038109755 0.0007621951 0.00038109755 0.00038109755 0.00038109755 0.0007621951 0.00038109755 0.0 0.00038109755 0.0 0.00038109755 0.0015243902 0.0 0.0 0.00038109755 0.0 0.00038109755 0.0022865853 0.0019054879 0.0019054879 0.00038109755 0.0007621951 0.00038109755 0.00038109755 0.0 0.00038109755 0.00038109755 0.008003049 0.0030487804 0.0015243902 0.008765244 0.0057164636 0.0 0.0019054879 0.0 0.0030487804 0.0022865853 0.0011432926 0.00038109755 0.021341464 0.0015243902 0.00038109755 0.004954268 0.0019054879 0.0015243902 0.0007621951 0.0022865853 0.00038109755 0.00038109755 0.0007621951 0.00038109755 0.0019054879 0.00038109755 0.0022865853 0.0019054879 0.00038109755 0.0 0.00038109755 0.0 0.003429878 0.0 0.0007621951 0.0007621951 0.00038109755 0.0 0.0 0.00038109755 0.011051829 0.003429878 0.00038109755 0.003429878 0.004954268 0.0007621951 0.0 0.00038109755 0.0015243902 0.0 0.0007621951 0.0022865853 0.0 0.0 0.0007621951 0.0007621951 0.0022865853 0.0030487804 0.00038109755 0.0011432926 0.0019054879 0.00038109755 0.0011432926 0.015243903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.41748047 0.015136719 0.046875 0.025878906 0.12841797 0.029296875 0.018066406 0.022460938 0.099121094 0.0053710938 0.0063476562 0.012207031 0.08105469 0.017089844 0.03564453 0.03955078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 6.357143 89.0 0.011235955 0.0 0.011235955 0.0 0.02247191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11235955 0.0 0.0 0.0 0.0 0.011235955 0.0 0.0 0.0 0.0 0.0 0.011235955 0.0 0.011235955 0.0 0.0 0.0 0.0 0.0 0.011235955 0.011235955 0.011235955 0.0 0.0 0.0 0.011235955 0.033707865 0.0 0.0 0.0 0.011235955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011235955 0.0 0.011235955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02247191 0.011235955 0.15730338 0.011235955 0.0 0.08988764 0.033707865 0.0 0.011235955 0.033707865 0.0 0.0 0.0 0.0 0.011235955 0.011235955 0.0 0.011235955 0.0 0.033707865 0.0 0.14606741 0.0 0.011235955 0.0 0.06741573 0.0 0.033707865 0.0 0.0 0.0 0.0 0.0 4.2070575 0.0 0.0 0.0 1.0 2624.0 2624.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 0.0 0.0 0.0 0.0 1408.0 608.0 0.0 4.0 0.0 1.0 1.0 1.0 160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1392875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8484416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1379.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 2144.0 0.0 0.0 0.0 0.0 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: 0.101384945 0.0045942827 0.0045498936 0.005060369 0.0052823154 0.0045276987 0.0027521306 0.0035289417 0.00472745 0.0032404119 0.0035955256 0.0033291904 0.00419478 0.0025523792 0.003351385 0.004794034 0.0043945312 0.003462358 0.0029962712 0.0030628552 0.0031738281 0.0033957742 0.0030406604 0.002352628 0.0029296875 0.0028409092 0.0033735796 0.0030184658 0.0038840554 0.0029296875 0.0025301846 0.0049937856 0.004616477 0.0027743252 0.0043279473 0.0030628552 0.0049050073 0.0036177202 0.002951882 0.0031072444 0.0034179688 0.0031738281 0.0033957742 0.0035511365 0.0027965198 0.0027077415 0.003795277 0.0027965198 0.0036399148 0.002951882 0.0032182173 0.0040394175 0.0030628552 0.003506747 0.0026189631 0.0030628552 0.0028409092 0.0031738281 0.0032626064 0.0036621094 0.003284801 0.0037064985 0.0088556465 0.0038174717 0.0036399148 0.0034179688 0.003506747 0.003573331 0.0043945312 0.0033069958 0.0035289417 0.0028852983 0.0029296875 0.0035511365 0.0031960227 0.0031738281 0.0033735796 0.0031072444 0.0039950283 0.0029740767 0.004017223 0.0031738281 0.0035289417 0.0034179688 0.003684304 0.003506747 0.003950639 0.0036177202 0.0029740767 0.0030850498 0.0031960227 0.003284801 0.0030406604 0.0032404119 0.0036399148 0.0035955256 0.003351385 0.004017223 0.0033291904 0.0037508877 0.0040394175 0.0056596235 0.0037730823 0.0036399148 0.0034845525 0.0040394175 0.003351385 0.0028852983 0.0040838066 0.0033957742 0.0048162285 0.0047718394 0.0037508877 0.0029740767 0.0048162285 0.005193537 0.005193537 0.0035955256 0.0034401633 0.0031738281 0.0031738281 0.00390625 0.0027965198 0.0028409092 0.004971591 0.0033957742 0.003795277 0.0037286931 0.0035511365 0.003950639 0.0030184658 0.0041725854 0.0032182173 0.0038396663 0.0036177202 0.0037064985 0.003972834 0.00530451 0.0037508877 0.007080078 0.0035511365 0.00390625 0.0030850498 0.0048162285 0.003129439 0.0029296875 0.0029962712 0.0035955256 0.0030406604 0.003506747 0.0031960227 0.0033957742 0.0029740767 0.0034401633 0.0031516335 0.0029962712 0.002907493 0.0031516335 0.0028187146 0.004017223 0.0026411577 0.0031960227 0.0026855469 0.0029740767 0.0028409092 0.0031072444 0.0030850498 0.0033069958 0.0034845525 0.0031738281 0.0033735796 0.002729936 0.0033735796 0.0032182173 0.0032626064 0.0034401633 0.003351385 0.003462358 0.0028187146 0.0030628552 0.0029962712 0.0032626064 0.0028631038 0.002951882 0.0030406604 0.0033069958 0.0033957742 0.0028852983 0.0028409092 0.003284801 0.002907493 0.0031738281 0.00419478 0.003928445 0.003462358 0.0040838066 0.0033957742 0.0037286931 0.0028409092 0.0038840554 0.0034401633 0.0028852983 0.003462358 0.0033291904 0.0028852983 0.0033735796 0.0033069958 0.0044833096 0.0031738281 0.0032182173 0.0031072444 0.0029962712 0.0030850498 0.0033069958 0.0029740767 0.0029296875 0.0029296875 0.0030406604 0.0029740767 0.0033291904 0.0030184658 0.0027743252 0.002951882 0.0032182173 0.0037286931 0.0036177202 0.0029740767 0.0036177202 0.0034845525 0.0031960227 0.003462358 0.0045276987 0.0044389204 0.0033069958 0.0033957742 0.003684304 0.0030850498 0.0030406604 0.0031072444 0.004017223 0.003573331 0.0038396663 0.003129439 0.004461115 0.0032626064 0.0028187146 0.0032182173 0.003684304 0.0054376777 0.0040616123 0.0030628552 0.0037064985 0.0038396663 0.003351385 0.003950639 0.0067249644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02871775 0.0007153888 0.0015556868 0.0013285793 0.0012831577 0.001078761 0.004826036 0.002520894 0.0007721657 0.0003974382 0.0005564135 0.00043150436 0.0005223474 0.00054505817 0.0005223474 0.00073809957 0.014455396 0.00054505817 0.00038608286 0.00028388444 0.0005677689 0.0007835211 0.000510992 0.000510992 0.0018849927 0.0003633721 0.00011355378 0.0003974382 0.0007153888 0.00021575218 0.00064725656 0.0008743641 0.012956486 0.0008175872 0.0008062318 0.00043150436 0.00076081033 0.0005564135 0.000510992 0.00059047964 0.00084029796 0.0007267442 0.0006245458 0.0007835211 0.0008289426 0.00045421513 0.0008175872 0.00074945495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026060592 0.0021121004 0.0037926962 0.0023846293 0.002827489 0.0035996549 0.0073696403 0.004837391 0.006972202 0.0007721657 0.00043150436 0.0008062318 0.002373274 0.0007721657 0.0017033067 0.0029523983 0.0065406975 0.0009197856 0.0012150254 0.00090843026 0.0012718023 0.0013967115 0.00090843026 0.0011241824 0.0038948946 0.0002043968 0.0001589753 0.00038608286 0.0013740007 0.0004087936 0.00084029796 0.0017033067 0.006790516 0.0009879179 0.001021984 0.0010446948 0.0011468931 0.0012831577 0.00093114097 0.0010446948 0.0011582485 0.001078761 0.0010560502 0.001112827 0.00120367 0.0012831577 0.001112827 0.0009992733 0.05058821 0.047136173 0.047204304 0.053540606 0.047624454 0.047374636 0.047749363 0.05117869 0.050122637 0.048850834 0.047987826 0.0467728 0.050747182 0.046341296 0.05230287 0.05517578 198.0 10.378788 2055.0 0.03406326 0.00486618 0.019951338 0.00729927 0.008272506 0.006326034 0.005352798 0.004379562 0.006812652 0.00243309 0.008272506 0.00486618 0.005352798 0.003892944 0.016058395 0.00486618 0.011192214 0.008759124 0.008272506 0.007785888 0.006326034 0.00486618 0.00486618 0.005352798 0.00729927 0.004379562 0.00486618 0.006326034 0.00973236 0.0121654505 0.07591241 0.007785888 0.003892944 0.008272506 0.006326034 0.004379562 0.007785888 0.006812652 0.004379562 0.00243309 0.00486618 0.006812652 0.006326034 0.002919708 0.006326034 0.006326034 0.003406326 0.00729927 0.009245742 0.005839416 0.006812652 0.00486618 0.008272506 0.005352798 0.00729927 0.00729927 0.006326034 0.005352798 0.005839416 0.00486618 0.003406326 0.001946472 0.003892944 0.00486618 0.004379562 0.01946472 0.011678832 0.020924574 0.024330901 0.04574209 0.010218978 0.011192214 0.00729927 0.023844283 0.005839416 0.00973236 0.024817519 0.015085158 0.03211679 0.026277373 0.013138686 0.006326034 0.033090025 0.035036497 0.027737226 0.011678832 0.006812652 0.008272506 0.008272506 0.017518248 0.00486618 0.004379562 0.005352798 0.005839416 0.005352798 0.004379562 6.097227 0.0 0.0 0.0 1.0 45056.0 602112.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1310362600.0 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 13.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 577536.0 1536.0 4096.0 5.0 1.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -36352.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.576289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5812237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9788847 0.0 2.4076066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -577536.0 -4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 593836.0 1888.0 585728.0 0.0 0.0 0.0 0.0 8.0 593748.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.06917777 0.010240577 0.006654665 0.0050480906 0.006646223 0.0048845895 0.0036019073 0.0037476365 0.00695412 0.0032193684 0.0032375846 0.0035721394 0.005901583 0.0031505027 0.0030598661 0.007732527 0.004811725 0.002933242 0.0029150257 0.004211481 0.003792066 0.0038804808 0.0029474592 0.0029452378 0.0039595654 0.0028323866 0.0028714847 0.0028217237 0.0033322196 0.0027528577 0.0030887455 0.0029883345 0.0042248103 0.0029687856 0.0028830364 0.0028368297 0.0063063367 0.0029256889 0.0027066509 0.0026986536 0.0032464706 0.002753302 0.0027870685 0.0031580557 0.0029972205 0.0030065507 0.0027750726 0.002777294 0.0038755937 0.0032291429 0.003329998 0.005012547 0.0036205677 0.0032033739 0.003182492 0.003217147 0.0035103823 0.0038080607 0.0030607549 0.0045980187 0.0037009853 0.003601463 0.00328468 0.0043945312 0.0041772705 0.0035854683 0.0032722396 0.0035641422 0.004729086 0.0068061696 0.0041350625 0.0035828026 0.0049414597 0.003942238 0.002888368 0.003823611 0.0056980955 0.0046828794 0.003322445 0.006047312 0.0055879103 0.003592577 0.0033339967 0.0041168462 0.003521934 0.004307005 0.004488722 0.0041950424 0.00353082 0.0038151694 0.0028257223 0.003148281 0.0030483145 0.004096409 0.0035552562 0.0036472254 0.002969674 0.0034095272 0.0029310205 0.002990556 0.0032207014 0.003942238 0.004676215 0.0029603438 0.0039724503 0.003292233 0.0050751925 0.0027888457 0.0033006747 0.0050205444 0.0033513245 0.0033104492 0.0033077833 0.002658667 0.0035868012 0.0033331083 0.006500494 0.0066182325 0.0030203238 0.003053646 0.0031918222 0.0030354299 0.0026990979 0.0031758274 0.0031744945 0.0037094268 0.0031984865 0.0031505027 0.0037267543 0.003269574 0.0027399731 0.007207369 0.00450916 0.0061357273 0.0028603773 0.00291547 0.0033637646 0.007036759 0.0028648202 0.01601998 0.0029656754 0.00638009 0.002814615 0.0028390512 0.0029403507 0.0026288992 0.0026657756 0.0025844695 0.0028381625 0.0027177583 0.002676883 0.0026591113 0.0028026188 0.0027524135 0.0026328978 0.002679549 0.0027639652 0.0027044294 0.0026853248 0.0027208684 0.0028474927 0.00285238 0.0026622214 0.0027164253 0.002813282 0.002745749 0.0026822146 0.0026524467 0.0029914447 0.0027039852 0.002721757 0.0027501918 0.003070085 0.0029194688 0.0026791047 0.002651114 0.0029630098 0.0026293434 0.002733753 0.0027453047 0.0027875127 0.002753302 0.0030798595 0.003301119 0.0031589442 0.0029163586 0.002861266 0.0026551127 0.0028803707 0.0028443828 0.0028594888 0.0034126372 0.00553415 0.003732086 0.003601463 0.003484613 0.0034521795 0.0027004308 0.0034041957 0.0050054383 0.0034601768 0.0034743943 0.0028332754 0.0030274326 0.0032886786 0.0026644429 0.0034406278 0.0032664638 0.003083414 0.002772851 0.0028990312 0.0027333086 0.0029039183 0.0027404174 0.0027417503 0.0027924 0.0033819808 0.0030092164 0.0027661866 0.0033548786 0.0032140368 0.0030243224 0.0027044294 0.002738196 0.0034095272 0.002851047 0.0028581559 0.0026813261 0.003121179 0.003133175 0.0026653314 0.0026364522 0.008871257 0.004298119 0.0026897676 0.004376315 0.0042359177 0.002676883 0.002759522 0.002895921 0.003912026 0.0030794153 0.0030123265 0.0029501251 0.0033366627 0.002851047 0.0036654416 0.0034237446 0.005354655 0.004071084 0.003352213 0.0032749055 0.0056105694 0.0031909335 0.0038058392 0.019344201 0.005907825 1.1112454e-06 6.6674727e-07 6.6674727e-07 0.0022684964 1.3334945e-06 4.4449817e-07 4.4449817e-07 0.0 6.6674727e-07 0.0 4.4449817e-07 7.33422e-06 4.4449817e-07 0.0 3.1114873e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008416573 1.7779927e-06 4.000484e-06 2.44474e-06 5.5562273e-06 3.1114873e-06 1.8668923e-05 1.2445949e-05 8.8899634e-07 0.0 4.4449817e-07 2.2224908e-07 1.7779927e-06 2.666989e-06 2.2224908e-06 1.2445949e-05 0.00080565293 1.5112938e-05 1.7779927e-05 6.6674727e-07 6.667473e-06 4.4449816e-06 2.6225393e-05 1.7779927e-05 1.3334945e-06 6.6674727e-07 1.1112454e-06 4.4449817e-07 2.2224908e-07 2.2224908e-07 2.2224908e-07 1.17792015e-05 0.0011079117 6.2229747e-06 6.667473e-06 7.1119707e-06 0.00034982007 2.0002419e-05 3.178162e-05 0.00022980556 1.1112455e-05 4.88948e-06 6.2229747e-06 4.4449816e-06 1.0001209e-05 4.88948e-06 6.0007255e-06 1.3779443e-05 0.005967166 0.000796763 0.000101567835 0.0004151613 0.001356164 0.0007738713 0.0005171736 3.66711e-05 2.1113663e-05 1.2001451e-05 0.00017513229 9.045538e-05 1.2668198e-05 3.3337365e-05 6.778597e-05 9.1788876e-05 0.0062138624 0.0009718953 0.00017735477 3.2892865e-05 0.00076942635 0.0004478319 0.0011505835 0.00022224909 1.22237e-05 2.5114146e-05 0.0001702428 0.00019713494 3.5559854e-06 0.00039338088 8.134317e-05 5.4895525e-05 0.009155551 0.00072364305 0.0008778839 0.00043405246 0.0008254331 0.00033692963 0.0024820778 0.0010656844 6.1563e-05 6.134075e-05 0.00025403072 0.00023469504 0.00024202926 0.00032581718 9.934534e-05 0.000116236275 0.00734511 0.00038604668 0.00040449333 0.00020980314 0.00091033225 0.0003444861 0.0015366302 0.0005980723 9.1566624e-05 0.0001217925 0.00017268755 0.00025291948 0.00052450784 0.00022847207 0.00017779927 0.00035026457 0.007485572 0.0005654017 0.00056673517 0.00025447522 0.0020117988 0.00055940094 0.0022969444 0.0011839209 0.0001362387 0.00012245924 0.0001357942 0.00018780048 0.0009967872 0.00012845997 0.00013912794 0.00052539684 0.0022018217 0.00016113059 0.00018535575 8.956638e-05 0.00034826432 0.0002820341 0.00050739467 0.00033204013 8.6677144e-05 5.3117532e-05 0.00010512382 0.00018179975 0.0001815775 7.845393e-05 4.8228052e-05 0.00016424208 0.00269277 0.00056762417 0.0006036285 0.006467893 0.0006487451 0.0005038387 0.0008816621 0.00066319125 0.0005138399 0.0004304965 0.0004491654 0.0004753908 0.0005356203 0.00043160774 0.00043694171 0.0005387318 0.004977046 0.0004427202 0.0005220631 0.0011005775 0.0010083441 0.00048961473 0.00033515162 0.00063963287 0.00190223 0.00025780895 0.00018446674 0.00039938162 0.0007854283 0.00030781497 0.0006623023 0.0019162317 0.0316376 0.004878812 0.0038451315 0.004888369 0.010536607 0.009553822 0.0041811722 0.0070964135 0.020634273 0.0015924147 0.0015350744 0.0026256507 0.007469347 0.0026674336 0.00806653 0.017617019 0.020187108 0.004213176 0.0041573914 0.004381196 0.008492804 0.007891176 0.0036900016 0.005776254 0.014511755 0.0013652762 0.0015377414 0.0022613844 0.005849374 0.0027187732 0.0066101323 0.013320499 0.040144853 0.039362315 0.039591674 0.04028087 0.039680354 0.039617013 0.039568115 0.039554115 0.039693244 0.03941988 0.039745472 0.039685242 0.039761253 0.03955345 0.03977792 0.039521 9510.0 8.29306 78867.0 0.015354965 0.0057311677 0.006644097 0.0061242343 0.010486008 0.0059213615 0.0058452836 0.005984759 0.007633104 0.0063651465 0.006162273 0.0062129917 0.0071639596 0.0066821356 0.0064285444 0.005515615 0.012337226 0.010156339 0.011487694 0.011589131 0.011817363 0.010473329 0.010815677 0.010295815 0.010270455 0.013009244 0.0105747655 0.013072642 0.011221424 0.010764958 0.01043529 0.010650842 0.006403185 0.0074048713 0.0065933787 0.008368519 0.0105874445 0.007823298 0.008431917 0.008584072 0.009382885 0.008406558 0.005693129 0.0060608364 0.007962773 0.0073161144 0.006644097 0.09110274 0.011563772 0.0074936287 0.007328794 0.010879075 0.008127607 0.0073541533 0.009129293 0.010993191 0.0076457835 0.0069357273 0.0067455336 0.0061749527 0.0067455336 0.0062383506 0.005984759 0.014670268 0.0059720795 0.0172569 0.0077725793 0.0123118665 0.011652529 0.027933102 0.011373579 0.008533354 0.009218051 0.016052341 0.010295815 0.006923048 0.01370662 0.009408244 0.015900187 0.017510492 0.009674516 0.0056170514 0.018106433 0.013554465 0.024890006 0.011170705 0.0072527165 0.007366833 0.0077091814 0.007988132 0.005934041 0.019488506 0.0068976884 0.0060354774 0.006086196 0.006403185 6.3124638 1.0 0.0 0.0 20.0 2250752.0 2277376.0 1.0 0.0 504.0 1.0 1.0 0.0 0.0 0.0 1469622500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -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 12.0 0.0 5.0 1.0 5.0 1.0 581120.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581120.0 0.0 1429504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.797766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7659626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1988107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.677128 0.0 7.9959846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188686.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -580910.0 0.0 1429412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 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 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 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 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -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 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 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 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 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 762956.0 1429412.0 815104.0 0.0 0.0 0.0 0.0 28976.0 2244608.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 673904.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0


Input: 0.5518935 0.0075683594 0.0040961374 0.0017903646 0.0052083335 0.0010579427 0.001546224 0.0013292101 0.0033637153 0.0013563368 0.0010579427 0.00094943575 0.003092448 0.0021972656 0.0013292101 0.0025770399 0.004014757 0.00081380206 0.0013292101 0.00086805556 0.0031195746 0.002875434 0.0006781684 0.0007324219 0.0031738281 0.0007052951 0.00040690103 0.0002983941 0.0016547309 0.00032552084 0.0005967882 0.0005967882 0.0054796007 0.00048828125 0.00021701389 0.0002983941 0.010904948 0.0043674046 0.0003797743 0.00048828125 0.0015733507 0.00048828125 0.0006781684 0.0007052951 0.0015190972 0.0008409288 0.0017903646 0.00024414062 0.0015733507 0.00048828125 0.0007866754 0.001953125 0.00062391494 0.00018988716 0.00021701389 0.00027126737 0.0017361111 0.00081380206 0.0002983941 0.0011393229 0.0011393229 0.0007052951 0.0007595486 0.0023328993 0.02335612 0.001844618 0.0007052951 0.0021430121 0.004964193 0.002983941 0.002061632 0.0007052951 0.001030816 0.0015190972 0.00048828125 0.00035264756 0.0047200522 0.0022243923 0.0014648438 0.0015190972 0.0073513454 0.0040418836 0.0055881077 0.0032280816 0.0027398004 0.0013020834 0.002170139 0.001546224 0.0011121961 0.0011393229 0.0004611545 0.0007866754 0.0009765625 0.001953125 0.0036621094 0.0034993489 0.0007866754 0.0020073785 0.00040690103 0.0011664496 0.0035536024 0.0038791234 0.0024956597 0.0011393229 0.0050998265 0.0018174914 0.0058322484 0.00018988716 0.0022243923 0.0025770399 0.0018174914 0.0023871528 0.0022786458 0.0007595486 0.0033908421 0.0027398004 0.0049370658 0.004340278 0.00054253475 0.0036349827 0.0017089844 0.00043402778 0.00018988716 8.138021e-05 0.0014919705 0.00032552084 0.0007324219 0.0007052951 0.008924697 0.0012478299 0.00016276042 0.0035536024 0.001844618 0.0026041667 0.0030110676 0.0006781684 0.0022243923 0.004801432 0.0012749566 0.014973958 0.0011121961 0.007514106 0.0018988715 0.00048828125 0.015625 0.00016276042 0.00013563369 0.00035264756 0.000515408 0.00016276042 0.0010036892 2.7126736e-05 0.0008409288 0.00040690103 8.138021e-05 0.00016276042 0.00086805556 0.0003797743 0.00043402778 2.7126736e-05 0.0011121961 0.0008951823 0.00013563369 0.0002983941 0.000515408 0.00024414062 0.00021701389 0.00016276042 0.0010036892 0.00018988716 0.00013563369 0.00021701389 0.0006510417 0.000108506945 0.00021701389 0.00021701389 0.0008951823 0.00018988716 0.00032552084 8.138021e-05 0.0005967882 5.4253473e-05 0.00040690103 0.00021701389 0.0017361111 0.00062391494 8.138021e-05 0.00032552084 0.00062391494 0.00054253475 0.0012749566 0.0009765625 0.0036349827 0.0010036892 0.0015733507 0.002766927 0.002170139 0.00021701389 0.0023057726 0.0021158855 0.00086805556 0.00035264756 0.00021701389 0.00032552084 0.0035264757 0.0007866754 0.0026312934 0.00056966144 0.000922309 0.0002983941 0.00032552084 0.0003797743 0.0012478299 0.00018988716 0.00024414062 0.00062391494 0.0008951823 0.00016276042 0.00035264756 0.00035264756 0.0003797743 5.4253473e-05 0.00016276042 0.000108506945 0.0004611545 0.0008409288 0.000108506945 0.00013563369 0.00056966144 0.00027126737 0.00021701389 0.00016276042 0.009602864 0.0025770399 0.000108506945 0.00056966144 0.0012478299 0.00013563369 0.00013563369 0.00021701389 0.0013020834 0.0011121961 0.0003797743 0.0002983941 0.00048828125 0.00016276042 0.0005967882 0.0016004774 0.0016004774 0.0007052951 0.0007595486 0.0007595486 0.00040690103 0.000515408 0.00043402778 0.029568143 0.19973493 0.0 1.3950893e-05 2.7901786e-05 1.3950893e-05 5.580357e-05 9.765625e-05 4.185268e-05 0.0 0.0 1.3950893e-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 0.025739398 0.0 0.00051618303 5.580357e-05 0.0009765625 0.00032087055 0.0006696429 0.00029296876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025613839 0.0002511161 0.00023716518 2.7901786e-05 0.0002511161 0.00018136161 0.00046037947 0.0002511161 4.185268e-05 2.7901786e-05 0.0 0.00027901787 0.00015345983 0.00044642857 0.00030691965 4.185268e-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 0.044210378 0.0001953125 0.0005440848 0.0005440848 0.00078125 0.0006138393 0.0024135045 0.002734375 0.0010742188 5.580357e-05 6.975447e-05 6.975447e-05 0.00016741072 6.975447e-05 0.00012555804 0.0034737724 0.021261161 0.0009626116 0.00015345983 0.00069754466 0.0010184152 0.0010044643 0.00016741072 0.00016741072 0.0017578125 0.00018136161 0.00023716518 0.0001953125 8.370536e-05 0.0002092634 0.00023716518 0.00023716518 0.055385046 0.000390625 0.0016183036 0.00078125 0.0059709824 0.003125 0.0062779016 0.0034179688 0.0015066965 0.0002092634 0.0002092634 0.00036272322 0.002078683 0.00022321429 0.0010463169 0.003111049 0.0672433 0.0011997768 0.0040876116 0.0016601563 0.00672433 0.0030552456 0.005887277 0.0063197543 0.0034040178 0.002734375 0.00030691965 0.0004185268 0.0012137276 0.0002092634 0.0010602679 0.008761161 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027078683 0.0025390624 0.0008370536 0.0028180804 0.010714286 0.0022879464 0.00085100444 0.0007393973 0.0037109375 0.0009347098 0.0005859375 0.0005719866 0.00036272322 0.00068359374 0.00047433036 0.001953125 0.011495535 0.00092075893 0.00036272322 0.00034877233 0.0021484375 0.0021902903 0.0046316963 0.0022739954 0.001813616 0.000390625 0.00027901787 0.00022321429 0.00013950893 0.0002092634 0.00016741072 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0757952 0.010909598 0.013964844 0.005608259 0.01640625 0.019154577 0.011621093 0.008370535 0.031012835 0.010895647 0.0034737724 0.0052594864 0.015373884 0.0025111607 0.0100306915 0.016755022 0.029115513 0.0051757814 0.008663504 0.0028041294 0.008244977 0.010407366 0.0046456475 0.0040178574 0.013532366 0.0063337055 0.0013113839 0.0015485492 0.0060546873 0.0018694196 0.0040876116 0.0064732144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151.0 10.993378 1660.0 0.040963855 0.003012048 0.00060240965 0.0012048193 0.009638554 0.009036144 0.0012048193 0.0 0.0018072289 0.0018072289 0.0036144578 0.0 0.00060240965 0.0012048193 0.019879518 0.0 0.005421687 0.0012048193 0.004819277 0.003012048 0.003012048 0.00060240965 0.0 0.0 0.0018072289 0.0 0.00060240965 0.00060240965 0.005421687 0.00060240965 0.004819277 0.0 0.008433735 0.021686748 0.00060240965 0.024096385 0.015060241 0.03313253 0.010843374 0.010240964 0.003012048 0.021686748 0.0 0.0012048193 0.0186747 0.022891566 0.01746988 0.024096385 0.013855422 0.004819277 0.024096385 0.026506023 0.01686747 0.008433735 0.0024096386 0.004819277 0.0012048193 0.00060240965 0.0018072289 0.0024096386 0.0 0.0024096386 0.0024096386 0.023493975 0.0018072289 0.028915662 0.003012048 0.015060241 0.030722892 0.06506024 0.004819277 0.015662652 0.012048192 0.021686748 0.003012048 0.0024096386 0.022891566 0.036746986 0.022289157 0.030120483 0.022289157 0.0 0.03313253 0.025903614 0.045783132 0.013253012 0.0036144578 0.028313253 0.007831326 0.003012048 0.0 0.0 0.0024096386 0.00060240965 0.00060240965 0.0012048193 5.628788 0.0 0.0 0.0 1.0 36864.0 36864.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1275970300.0 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 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 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 -16384.0 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 4.9327493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6719766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0570045 0.0 3.4030921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14005.0 0.0 3304.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 -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 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 22976.0 3304.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 20480.0 0.0 0.0 0.0 0.0