Input: 0.120613195 0.014301751 0.006578472 0.0062325294 0.014194078 0.004057535 0.0037574398 0.003916518 0.0137828365 0.0019638164 0.0021492918 0.002357691 0.010727703 0.0024771732 0.0017526384 0.016954675 0.009498146 0.0019888242 0.0013594583 0.0019339457 0.0059379917 0.0036935308 0.0013149998 0.0008676359 0.0044437684 0.0011663416 0.00077455083 0.0008940331 0.0035177807 0.0006279766 0.0007863601 0.0022493233 0.006590281 0.00058560213 0.0010218513 0.0010281033 0.016799765 0.0016512173 0.00046611982 0.00071967236 0.0024723106 0.00091001036 0.00068285514 0.002606381 0.0023319884 0.0006404806 0.0008766665 0.0005168303 0.0029821943 0.00086833054 0.0008627732 0.0061248564 0.001738745 0.0005550369 0.00058699143 0.000623114 0.002349355 0.0020173055 0.0009746142 0.0052648615 0.0026501447 0.0011600896 0.00080720003 0.0011941282 0.006181819 0.004591037 0.002819643 0.0032204643 0.008511028 0.011302885 0.006477051 0.004518792 0.002993309 0.0015880029 0.0012795719 0.0009440489 0.0042054984 0.006113047 0.0022527967 0.0014296194 0.008142856 0.0035657124 0.0023924243 0.0063763247 0.006905659 0.009555804 0.006684756 0.004527128 0.0017144318 0.0011899602 0.0005251663 0.0033649544 0.0017317984 0.006468715 0.0052162353 0.005100921 0.0011225777 0.002436188 0.0009808661 0.0015227044 0.00310515 0.003537926 0.004764703 0.00082665065 0.0038331582 0.0022423768 0.0048841857 0.00046889848 0.0019207471 0.0010982645 0.0020749627 0.002063848 0.0021847195 0.0008537426 0.0036740801 0.0037213173 0.015135349 0.011575888 0.0015859188 0.0016241254 0.0024764787 0.0014164208 0.0006946644 0.0007787188 0.0031516925 0.0027251686 0.00244244 0.001943671 0.0049467054 0.0017206838 0.00066548854 0.020923292 0.0043249805 0.014146841 0.00084401725 0.00082178804 0.0038560822 0.018430836 0.0024028441 0.059082597 0.0009933701 0.011419589 0.00084401725 0.00055573153 0.0013823822 0.0003765081 0.00033969092 0.0006196407 0.00097253016 0.0006835498 0.00033552293 0.00026605648 0.0009739195 0.0009697515 0.00029175906 0.00025216318 0.0006786871 0.00045153187 0.0003007897 0.00029801103 0.0007863601 0.0014942231 0.00025077385 0.00065854186 0.00067243516 0.00027439246 0.00023896457 0.00026466715 0.0009850342 0.0003417749 0.0004397226 0.00043069193 0.00068077113 0.00024452189 0.00030217902 0.0003633095 0.0010704779 0.0003160723 0.00039179073 0.0003383016 0.00083012396 0.00081762 0.0022548807 0.0017373557 0.0030245688 0.0010114315 0.0016109268 0.00048140244 0.0008586052 0.000730787 0.00095169025 0.00071967236 0.009981633 0.0051287073 0.0034976352 0.007134898 0.009142478 0.00093293434 0.0038373263 0.007835815 0.0036011403 0.0027585125 0.0012517853 0.0014330928 0.037612606 0.00060435804 0.0022326515 0.0017845929 0.0025028759 0.0012844345 0.0021479025 0.00090723176 0.00094821694 0.0021166424 0.00125248 0.0007912228 0.0023007286 0.0007085577 0.00069327507 0.0015775829 0.0007773295 0.000310515 0.00036469882 0.00045431053 0.0017693103 0.0007926121 0.00054183824 0.0004355546 0.0016553854 0.0033607865 0.00040637868 0.00031537763 0.015087416 0.0032732587 0.00046750915 0.0047848485 0.006098459 0.00057309814 0.0006904964 0.00072453497 0.003641431 0.0014900552 0.0013754355 0.0008502693 0.0027585125 0.0006071367 0.003618507 0.001662332 0.005750432 0.0025480292 0.0018936552 0.0015296511 0.005661515 0.001662332 0.0037442413 0.04928505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056239287 0.00014085036 0.00019823384 4.416789e-05 0.00016449932 0.00048341235 9.424802e-05 4.2428997e-05 4.3124553e-05 0.00017701935 5.4601252e-05 3.2691194e-05 2.8170072e-05 3.929899e-05 2.9908966e-05 0.00063817383 0.010768967 0.0002921341 0.00054809917 0.0001662382 0.00033873643 0.0012113131 0.001271131 0.000791892 0.0001565004 0.00027161514 0.00018501825 8.520577e-05 6.607795e-05 9.181357e-05 0.00013076478 0.0014307614 0.0031571346 0.000100508034 0.00068547175 0.00012798255 0.00050149683 0.0005894848 0.0028952574 0.0014999694 4.5559005e-05 3.5125646e-05 3.7212318e-05 1.6345597e-05 2.1214499e-05 2.1910057e-05 2.7474514e-05 0.00020936276 0.0036182893 0.00014745815 0.0020981487 0.0004173344 0.0016001296 0.001082635 0.0058903275 0.0031035768 7.82502e-05 3.5821202e-05 3.964677e-05 3.1995638e-05 5.4253473e-05 3.895121e-05 6.8512396e-05 0.00021318832 0.0051579056 0.00048793346 0.0019002627 0.0010085581 0.0033188518 0.0018946981 0.005502554 0.0032781616 0.00025387842 0.00012902588 0.00012207031 0.00012033142 0.00046532784 0.00011789697 0.00018675714 0.0002723107 0.008147411 0.0011271506 0.0009842137 0.00066599617 0.0013605101 0.0017166355 0.0015451806 0.001389028 0.001960776 0.00027474514 0.00030256744 0.00024553173 0.004177865 0.00023440282 0.0005220158 0.0009869959 0.016146667 0.0026897201 0.0014818849 0.0016964644 0.0036193326 0.004212295 0.0018105358 0.002776665 0.007840322 0.0005780081 0.0007014696 0.0008969212 0.009566695 0.0010189915 0.0019079138 0.0035974225 0.13072757 0.025401058 0.02082603 0.018791525 0.04209965 0.044920485 0.012306148 0.031049332 0.10052786 0.005350575 0.0048341234 0.011531645 0.064603016 0.012174688 0.027545461 0.0605587 0.042355616 0.010650027 0.011148045 0.0077940677 0.015444503 0.017391715 0.0055109006 0.01203662 0.03520146 0.0023182926 0.00211832 0.004167084 0.019874856 0.005391265 0.010574558 0.020244893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3859.0 18.160664 70082.0 0.06759225 0.0011557889 0.0024399988 0.0011700579 0.018992038 0.01297052 0.0007277189 0.0049370737 0.0047801146 0.00313918 0.001512514 0.001384093 0.0049656117 0.0040095886 0.0074484176 0.0017408179 0.0077480664 0.0040095886 0.0036100568 0.0025684198 0.0022116948 0.002011929 0.0016123969 0.000913216 0.0029108757 0.0050797635 0.003396022 0.006663623 0.0029251447 0.00313918 0.0012128649 0.0117291175 0.034459632 0.013312976 0.0043663136 0.0067635057 0.012214263 0.015952742 0.0060785934 0.0068776575 0.0043377755 0.0062212837 0.00097029196 0.001055906 0.007947832 0.0036671327 0.006535202 0.004794384 0.0089752 0.0056077167 0.008190406 0.008290289 0.010273679 0.0062640905 0.006021518 0.0045803487 0.0038954369 0.002497075 0.0037527469 0.0029964899 0.002240233 0.0019120459 0.0033104077 0.019334493 0.000784795 0.043006763 0.012813562 0.025199052 0.025769813 0.06030079 0.012770754 0.010016837 0.011072744 0.03764162 0.0028395308 0.0035815188 0.023929112 0.01666619 0.035315774 0.03621472 0.013284438 0.0039097057 0.03667133 0.043962788 0.060700323 0.017978938 0.0049656117 0.0061071315 0.0058360207 0.0058788275 0.001983391 0.000656374 0.002026198 0.0009845609 0.001512514 0.0012128649 5.7141576 2.0 18.0 0.0 4.0 1439544.0 1449984.0 1.0 0.0 435.0 0.0 1.0 1.0 1.0 0.0 1541195000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 5.0 1.0 5.0 1.0 1286656.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1286656.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6287103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2601953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5900273 0.0 4.2483606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1286190.0 0.0 1376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 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 1.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 -2.0 -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 -2.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 -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 2.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 -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 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 1409192.0 1376.0 1445888.0 0.0 0.0 6968.0 1432576.0 0.0 0.0 84.0 1371696.0 0.0 0.0 0.0 0.0 24.0 1371944.0 64.0 1371784.0 0.0 0.0 1812.0 1294336.0 0.0 0.0 0.0 0.0


Input: 0.18294246 0.010666734 0.006094472 0.003571511 0.012231256 0.0034581504 0.0027150242 0.0016326825 0.012599931 0.0013105072 0.0010280441 0.0044730534 0.010692872 0.004422222 0.0012755604 0.003727761 0.006157723 0.0024514787 0.0007603108 0.0007425485 0.003541763 0.00923709 0.0012845136 0.0008612523 0.0031433399 0.00072753004 0.00065287086 0.0007233422 0.003864516 0.0010462396 0.0005668034 0.0015610559 0.004054269 0.00057128 0.00051943737 0.0007618993 0.0035996707 0.0007854378 0.00043784658 0.00040607672 0.003994917 0.0004248498 0.0005266578 0.0014013401 0.0016123209 0.0010082602 0.0010927392 0.0005309901 0.005413586 0.00384401 0.0037702173 0.005826883 0.004773856 0.0033833468 0.0034801005 0.0031199458 0.0056791534 0.0039032174 0.0034532405 0.0055088955 0.0043738447 0.003444576 0.003529488 0.0051803663 0.004419767 0.010742838 0.0013209046 0.0013097852 0.0024113331 0.00969241 0.006010426 0.0018853974 0.0026182705 0.0012982325 0.0006973487 0.0008846465 0.003454107 0.0077657118 0.0027228224 0.001130863 0.01020766 0.0039269 0.0045552216 0.00376704 0.003455551 0.0059496304 0.0060888403 0.005228743 0.0027124248 0.0014007625 0.0009523741 0.0023021603 0.0018526167 0.005429904 0.005187442 0.0038897875 0.0021771025 0.0031156135 0.0010021951 0.0018129044 0.003172655 0.0047755893 0.0014208353 0.0010127368 0.006262275 0.0026488851 0.004466988 0.0009187269 0.0047120494 0.0023499595 0.002163095 0.0023947263 0.0029833352 0.0010118703 0.002388661 0.0024854147 0.009324602 0.0067659714 0.0011890596 0.0011978685 0.0024094558 0.0013457428 0.0007373498 0.00048694547 0.0027782752 0.0023093808 0.0019163009 0.0010173579 0.0045477124 0.0020127657 0.00088681263 0.009810103 0.003928922 0.004759704 0.0031096926 0.010076248 0.004826421 0.013947117 0.0017687153 0.043539163 0.0014336876 0.016204512 0.0018377426 0.0009639268 0.0031187905 0.0019106689 0.0014154922 0.0011866046 0.0015421384 0.0012023452 0.00073359517 0.0007426929 0.0020594096 0.00093995495 0.0021991972 0.00047784773 0.0014446627 0.0007591555 0.0013701479 0.0009717248 0.0035159138 0.002816399 0.0008967768 0.0008748267 0.001593259 0.00039625692 0.00033228396 0.00029156078 0.0012866798 0.0003125 0.0003465804 0.0003178431 0.0014569374 0.00026715573 0.00029950324 0.0003413817 0.0022526283 0.002754159 0.00056117144 0.00030816774 0.0010260224 0.0003143773 0.00047106054 0.00041185305 0.0019723314 0.0018013517 0.0004930106 0.00044102356 0.0013239372 0.00048968924 0.0012120205 0.0008463782 0.007007567 0.0027798638 0.0044770967 0.004414279 0.0043830867 0.00036116567 0.0038161392 0.0058400244 0.0039244452 0.002118617 0.0007347505 0.0011198879 0.026971031 0.0004686056 0.0034164165 0.0017658272 0.0019781077 0.00072911853 0.00085042167 0.00067973085 0.0013365007 0.00035538932 0.0018019293 0.0007457255 0.0051189926 0.007292196 0.00055062963 0.0014635802 0.0020604206 0.0014661795 0.0008762708 0.0012076884 0.003063482 0.0010703559 0.00064146257 0.00051192817 0.0029735155 0.002429673 0.00039770102 0.00044376732 0.011223862 0.0019106689 0.00055770564 0.002435305 0.007992433 0.0007865931 0.0006450728 0.00067092193 0.003224353 0.0029891117 0.0025668612 0.003812529 0.0041302275 0.00056637014 0.0021671385 0.00095685077 0.003938309 0.0019703095 0.0009665261 0.0014037951 0.0042174505 0.0008849353 0.0019615006 0.04602169 0.032234002 5.633181e-06 1.4444055e-07 7.2220274e-08 0.0 0.0 0.0 7.2220274e-08 1.4444055e-07 0.0 0.0 4.3332162e-07 0.0 7.2220274e-08 0.0 3.177692e-06 0.0008361663 1.2999649e-05 5.055419e-07 2.888811e-07 7.2220274e-08 7.2220274e-08 9.3886354e-07 7.94423e-07 4.3332162e-07 2.1666081e-07 1.588846e-06 1.4732936e-05 2.1666081e-07 2.888811e-07 0.0 1.8127288e-05 0.0009288249 1.3721851e-06 2.5277095e-06 5.055419e-07 5.055419e-07 7.222027e-07 2.1666081e-07 1.7332865e-06 1.5166257e-06 5.777622e-07 1.2277446e-06 5.315412e-05 1.083304e-06 1.4444055e-07 1.083304e-06 0.00018806159 0.010339199 7.0775866e-05 6.5431566e-05 6.102613e-05 6.8681475e-05 3.4376848e-05 2.1882743e-05 2.7515924e-05 3.5532372e-05 1.7549526e-05 3.2860222e-05 0.0006448548 3.0115852e-05 1.7188424e-05 2.0149455e-05 0.0007891509 0.014191283 0.00011779126 0.00010305833 0.00012190782 0.00014834043 4.860424e-05 1.1555243e-05 2.1666081e-05 3.697678e-05 1.0471939e-05 4.9037564e-05 0.0008215778 3.1199157e-05 1.6755102e-05 1.6755102e-05 0.0027414092 0.0080778375 0.00010443051 6.5720444e-05 7.185917e-05 9.923065e-05 3.690456e-05 1.076082e-05 2.383269e-05 3.74101e-05 3.473795e-05 4.037113e-05 0.0008056893 4.029891e-05 2.2460505e-05 1.1194142e-05 0.0019061096 0.008819539 0.00024374342 0.00024071016 8.4786596e-05 0.00015397361 9.6991826e-05 0.00017614524 0.00013627965 0.000101830585 0.00057039567 8.2836654e-05 0.00014675158 6.933146e-05 8.1825565e-05 6.665931e-05 0.0013523968 0.0007254526 5.857064e-05 4.9182003e-05 1.8271729e-05 8.269221e-05 4.037113e-05 0.00034867946 0.00011771904 4.3693264e-05 6.362606e-05 1.0327499e-05 8.666432e-06 1.1555243e-05 8.594212e-06 8.521992e-06 3.1054715e-05 0.001242983 3.0043633e-05 0.00022467726 0.00013960178 0.00033813532 0.00027169267 0.0016084176 0.00076437934 4.4848788e-05 4.1237774e-05 1.5455138e-05 6.427604e-06 1.9138371e-05 1.6755102e-05 8.594212e-06 0.000108547065 0.0032893445 8.312553e-05 0.00049940316 0.00046502633 0.0010657546 0.00057162344 0.002333798 0.0011850625 0.00026020964 0.00012378555 0.0001179357 3.4304627e-05 0.00029278098 0.00012927428 7.092031e-05 0.00012696323 0.008661955 0.00043303275 0.0006769206 0.0010228558 0.0036830893 0.0015986679 0.0045405608 0.0021827854 0.00036984 0.00024583781 0.00015902903 0.00013873514 0.00054352975 0.0004897257 0.00066457095 0.00047260945 0.028523251 0.0044887066 0.0040857894 0.048980583 0.013078947 0.0071173077 0.011371082 0.0070123714 0.0046264306 0.003993781 0.0032183519 0.0033840253 0.0051958873 0.0044769347 0.0052644243 0.0049218116 0.015378512 0.0024338232 0.0017326365 0.0014870154 0.0031971913 0.0038177802 0.0055378503 0.0028813 0.008687593 0.0018526666 0.0012070896 0.0011802237 0.0053096344 0.0018499944 0.001955364 0.0052392916 0.10302445 0.022208817 0.010529716 0.0121495435 0.027517512 0.0413235 0.0143534895 0.019647742 0.0852803 0.01108285 0.0072005778 0.0066970577 0.049287952 0.015266932 0.022008188 0.04820602 0.0262928 0.006960445 0.0033841697 0.004023969 0.008871538 0.0118769845 0.00398627 0.0062723304 0.024059027 0.0039471267 0.0031264154 0.002645934 0.012689679 0.006038048 0.007563412 0.015577335 0.00013599078 7.474798e-05 7.048698e-05 7.243693e-05 6.954812e-05 8.305331e-05 0.00011129144 7.915342e-05 9.460856e-05 9.417523e-05 8.5797685e-05 9.951953e-05 9.2514165e-05 0.00010378053 9.872511e-05 0.00011324138 26941.0 19.083107 514118.0 0.020699529 0.002054003 0.0021104105 0.0012895872 0.0066171577 0.002197939 0.0019139575 0.0014665894 0.005876083 0.0014840951 0.0013265437 0.0012915323 0.006226197 0.0058663576 0.008608919 0.0028437052 0.022531793 0.018871155 0.01867859 0.017453192 0.021242205 0.017143924 0.017890835 0.016856052 0.021353075 0.016963031 0.018947013 0.017381223 0.021407537 0.016959142 0.01690857 0.018470468 0.011226995 0.0069828327 0.004444505 0.0061814603 0.010170816 0.0058683027 0.00506304 0.0036684186 0.009176882 0.005708806 0.00135961 0.0021415318 0.008756745 0.004666244 0.004154688 0.0054909573 0.011421503 0.0027464512 0.0049541155 0.009239124 0.011835804 0.0034408444 0.0044172737 0.0026783734 0.0063390117 0.0017933627 0.002096795 0.0017797471 0.009637865 0.0016747128 0.0021065203 0.008293816 0.0055979365 0.03202572 0.007037295 0.01963946 0.020506965 0.054466095 0.007535235 0.009128255 0.014718411 0.027472293 0.004864642 0.0036139563 0.025091516 0.014969327 0.023704674 0.027297236 0.01701944 0.0023574354 0.02382527 0.021290831 0.041165646 0.010128025 0.00543844 0.0049035437 0.007245418 0.006321506 0.0016922185 0.0011864981 0.0058216206 0.0012526307 0.0011826078 0.0010522876 6.052722 179.0 9.0 0.0 5.0 6924800.0 7671808.0 1.0 0.0 626.0 1.0 1.0 0.0 0.0 0.0 1250780700.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 4707328.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 962560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4707328.0 0.0 373248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.070129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7536273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.449465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5656223 0.0 1.7559704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -761710.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 962276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -852812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4706843.0 0.0 372960.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 2.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 2.0 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 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 -2.0 3.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 3.0 1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 2.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -2.0 2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 -1.0 1.0 0.0 0.0 -2.0 1.0 1.0 2.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 5649180.0 372960.0 6533120.0 0.0 0.0 0.0 0.0 625480.0 6909952.0 28.0 4717104.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 5568672.0 0.0 0.0 2604.0 4714496.0 0.0 0.0 0.0 0.0


Input: 0.13949153 0.011659676 0.005962754 0.0062839673 0.00788265 0.003740105 0.0020380435 0.0041979267 0.009935462 0.001369772 0.0023112595 0.0013439272 0.00630612 0.0024552518 0.0015802222 0.004751743 0.015868679 0.001779596 0.002366641 0.020457968 0.00376595 0.009736088 0.0011408613 0.00080487947 0.0025254018 0.0024995569 0.0011076323 0.0011925508 0.0023371042 0.0007162689 0.00077534263 0.00080118736 0.0070076203 0.0006904242 0.0020675804 0.00063504255 0.0037327209 0.00082703214 0.000513203 0.00059073727 0.0014251536 0.00050581875 0.00043936083 0.001336543 0.0025106333 0.0013808483 0.0011187086 0.0013402351 0.0055344696 0.0032121337 0.0026841622 0.008554613 0.003352434 0.002813386 0.0026140122 0.0024441753 0.006139975 0.0037548735 0.0026952387 0.004581906 0.006542415 0.0052501773 0.003496426 0.00239987 0.0056120036 0.0022706462 0.001953125 0.0025955518 0.004762819 0.011596911 0.0027875414 0.0018718987 0.0014436141 0.0013106982 0.0015802222 0.0012553167 0.0043013054 0.00644642 0.0017943644 0.0013882325 0.008019258 0.0038287158 0.0015137641 0.0041167 0.0026287807 0.00451914 0.005586159 0.005316635 0.0014251536 0.005209564 0.0005759688 0.0016282195 0.0011334771 0.0035111944 0.0031493679 0.0030386047 0.0013771562 0.0031272152 0.0010153296 0.0020601961 0.003596113 0.008034026 0.0031752128 0.0010079454 0.0039542476 0.0038508684 0.0075208233 0.00063504255 0.003189981 0.0017980565 0.0032342863 0.00308291 0.009064125 0.0021524988 0.00465944 0.002983223 0.017371368 0.011401229 0.0015691458 0.03303329 0.0037068762 0.0016872933 0.0005168951 0.00063135044 0.0010116375 0.0038693289 0.0014583826 0.0008159558 0.010060994 0.0016909854 0.0005242793 0.00898659 0.0027136991 0.012704543 0.0011482455 0.00064611883 0.0018571302 0.011811052 0.0010817875 0.041946035 0.00088241376 0.010408051 0.0005612004 0.000616582 0.0036256497 0.0014989957 0.0019457408 0.002676778 0.003876713 0.0005648925 0.0004725898 0.00044674505 0.0016799091 0.00041351607 0.00036551867 0.0004282845 0.0010670192 0.00078641897 0.00053904776 0.00059073727 0.001336543 0.0038287158 0.00039505554 0.0008418006 0.0014546905 0.0010005612 0.0005722767 0.0004947424 0.0010411744 0.00041720818 0.00038767132 0.0006608873 0.0012110113 0.00050212664 0.00046151347 0.0004282845 0.0014140772 0.00033967392 0.00038767132 0.00045782136 0.0010079454 0.0006239662 0.00053535565 0.0009377954 0.003666263 0.0012590088 0.0030644494 0.001026406 0.0009156427 0.00045412924 0.0010522507 0.0011187086 0.007938032 0.0014583826 0.0032748997 0.0033782786 0.0016946775 0.00065719517 0.003559192 0.004652056 0.0025918595 0.0029721467 0.00065719517 0.0010633271 0.01418877 0.00050581875 0.0033155128 0.0017389827 0.0021968042 0.0008713374 0.0011851665 0.0005722767 0.0011150165 0.00039136343 0.0024072542 0.00074949785 0.00232972 0.0010153296 0.00055012404 0.002569707 0.001473151 0.0005759688 0.0008122637 0.0006202741 0.0021820357 0.0003839792 0.00045782136 0.0003322897 0.0023075673 0.000479974 0.00046151347 0.00035075023 0.01482012 0.0039948607 0.0003359818 0.004009629 0.006402115 0.00033967392 0.00029906072 0.00029167652 0.0053609405 0.0013586957 0.0004984345 0.0006424268 0.001882975 0.0007125768 0.006372578 0.0011371692 0.003839792 0.0013254667 0.0007384216 0.000719961 0.0067713256 0.0020306592 0.0030607574 0.06496263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005584601 0.00021165043 0.00020608067 0.00018565827 0.0002673479 0.00015966612 0.00038059946 0.00018565827 0.00018751486 2.5992158e-05 2.4135576e-05 4.0844818e-05 2.4135576e-05 2.5992158e-05 3.8988237e-05 5.569748e-05 0.005127881 0.00026177816 0.00014852661 0.000113251546 0.0002784874 0.0002673479 0.00066651317 0.00036203364 0.00020793726 2.0422409e-05 2.2278993e-05 2.5992158e-05 1.48526615e-05 2.2278993e-05 2.4135576e-05 4.0844818e-05 0.03392162 0.0035869179 0.0009932717 0.000449293 0.0009969849 0.00068136584 0.001930846 0.0042348653 0.00065723027 0.001819451 0.0014611306 0.00038059946 0.00075934234 0.0002469255 0.00031933223 0.004595042 0.015968468 0.0012494802 0.004409384 0.0017934589 0.0022854533 0.0018157379 0.01143098 0.006988177 0.0003527507 0.0005124168 0.00030262297 0.00017266218 0.0003546073 0.00018751486 0.00015223978 0.0014537042 0.01936787 0.0012420538 0.0038542657 0.0019605514 0.0030225166 0.0021202175 0.008154111 0.005716418 0.0005346958 0.00057182746 0.00093571766 0.00034161122 0.00032861513 0.00028777032 0.00026363475 0.0007277804 0.015688123 0.003852409 0.0028535677 0.03326439 0.0034736663 0.0039136764 0.0071422737 0.006726399 0.0026586265 0.0028609938 0.0023597167 0.0026549133 0.0024859642 0.0025286656 0.0021833412 0.004212586 0.009394309 0.0028127227 0.00085217145 0.0008168964 0.0010638218 0.0011529379 0.0022706005 0.004364826 0.0022613178 0.0009635664 0.00049570756 0.00038245603 0.0016449323 0.00046785883 0.00039173895 0.0010823878 0.010162934 0.0035367901 0.000898586 0.0015632426 0.00265677 0.0031636169 0.0012123485 0.003989796 0.008230231 0.00091900845 0.00076676864 0.0010155507 0.0045226356 0.0010174073 0.0025825065 0.006993747 0.094433226 0.051377214 0.011948966 0.024987746 0.03908849 0.042112865 0.01759669 0.0637829 0.093090914 0.013281993 0.008673955 0.013254144 0.04372438 0.014679999 0.031623174 0.08273118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1820.0 12.957692 23583.0 0.05554849 0.0014417164 0.011788152 0.0015265234 0.0061484966 0.0012721028 0.0013145062 0.0029258365 0.0027986262 0.0012721028 0.0013145062 0.0013993131 0.0036042912 0.010558453 0.0069965655 0.0075478097 0.016664546 0.016155705 0.011406521 0.01225459 0.013102659 0.011745749 0.010558453 0.010940084 0.024381971 0.012424204 0.012805834 0.012890642 0.021074504 0.016918967 0.020608066 0.0114913285 0.0055124452 0.005173218 0.0043251496 0.007463003 0.006742145 0.008523089 0.004876394 0.0037315015 0.003392274 0.006275707 0.0013569096 0.003392274 0.0052156216 0.0042403424 0.0047067804 0.0037315015 0.009540771 0.0043251496 0.0059788832 0.010855277 0.010558453 0.002586609 0.0041555357 0.011915362 0.0046219733 0.0142051475 0.0017385405 0.0016537337 0.00309545 0.0015265234 0.0020353645 0.006233304 0.002501802 0.027180595 0.0072085825 0.01657974 0.018233472 0.061188143 0.005003604 0.0057244627 0.0077174236 0.031972185 0.014841199 0.0025442056 0.024042742 0.01547725 0.02709579 0.024593987 0.028367892 0.0035194843 0.032523427 0.018572701 0.04193699 0.01535004 0.005894076 0.007123776 0.0077174236 0.0097103845 0.002501802 0.0012296994 0.00309545 0.0013145062 0.001696137 0.0009752788 5.9845595 0.0 4.0 0.0 2.0 270848.0 290816.0 1.0 2.0 238.0 1.0 1.0 0.0 0.0 0.0 4073211000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 223232.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -223232.0 -8704.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7844977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7097564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.494488 -5.4813375 2.1812785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -223195.0 -8330.0 17848.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -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 1.0 -1.0 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 -1.0 -1.0 2.0 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 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107.0 227184.0 760.0 234576.0 17888.0 249856.0 0.0 0.0 0.0 0.0 17564.0 270336.0 84.0 13840.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 4632.0 0.0 0.0 1100.0 233472.0 96.0 226820.0 0.0 0.0


Input: 0.109676935 0.006177681 0.003939354 0.0037894773 0.004768768 0.0027345205 0.0027901786 0.0035086405 0.0047320263 0.0027607125 0.0028825782 0.00270942 0.0039462657 0.0025242567 0.0026428483 0.0038007544 0.0041088746 0.002642121 0.0026872293 0.0024111217 0.0033762252 0.0028331045 0.0026071982 0.0025864628 0.0031332213 0.002618839 0.0025260756 0.0028291028 0.0032230746 0.0026352091 0.0026264784 0.0031932448 0.0037789277 0.0022408736 0.0023099913 0.002830558 0.005400287 0.0029753416 0.002523893 0.0029753416 0.0026359367 0.0026377556 0.0025329874 0.003258725 0.0028916728 0.0031357678 0.002799273 0.0029065877 0.003064831 0.0028931277 0.0030524626 0.005393739 0.0035020926 0.0032165267 0.0030546454 0.0031448624 0.003691621 0.0030491885 0.0029589715 0.0037189042 0.0035195537 0.0030226328 0.0032325329 0.0036348714 0.0054192035 0.0031539567 0.0035177348 0.0044479156 0.003361674 0.006656413 0.0036581533 0.0032809153 0.0032550872 0.0046156175 0.0030688327 0.0031117585 0.0025198914 0.003627232 0.0030069903 0.0034144218 0.0043697036 0.0029727952 0.0034151494 0.0043777064 0.0035697552 0.0044970256 0.004206003 0.0038054835 0.0027283363 0.0035642986 0.003514461 0.0044908416 0.0029673385 0.0035479285 0.0036214117 0.0034791743 0.0020589845 0.0029902565 0.0023641943 0.0031834228 0.004097597 0.004349332 0.003047006 0.0029782518 0.003645785 0.004191816 0.0034966357 0.0034562564 0.0031510466 0.003792751 0.0041579846 0.0043071336 0.0029640645 0.0029644284 0.0038804219 0.0035548403 0.006072913 0.0045308573 0.0030015337 0.0031248545 0.0034311558 0.002814188 0.0025737307 0.0029957131 0.0036145 0.0032067045 0.0035515663 0.0039953757 0.022533147 0.0024278555 0.002422035 0.0048528006 0.0030713791 0.0034526186 0.0024511374 0.0024387687 0.002595921 0.0053337156 0.0029793433 0.018932834 0.0028130966 0.0043005855 0.0026792262 0.0028924001 0.0030531902 0.0024151232 0.0030691964 0.0029455118 0.0024034823 0.0028683909 0.0027578024 0.0026326627 0.0020004162 0.0021328314 0.0027625314 0.0024736915 0.0027381582 0.0024344036 0.0026512153 0.00295206 0.0022503317 0.002425673 0.0020633498 0.0025529952 0.0028098226 0.0029935306 0.0023416402 0.0028723925 0.0023441864 0.0026119272 0.0022881648 0.0026865017 0.0025580882 0.0032147076 0.0026166565 0.0029229575 0.002296168 0.0023147205 0.0027887234 0.0025788234 0.0031048467 0.0032998319 0.0030608296 0.0033052885 0.0029902565 0.002861479 0.003043732 0.0032521768 0.002740341 0.002656672 0.0027654415 0.003100845 0.0048055095 0.002658127 0.0026523066 0.0059095765 0.0033809543 0.0027046907 0.0039298953 0.0037032617 0.0025955574 0.0031248545 0.002690867 0.0027981817 0.0024966097 0.0025850076 0.0025901005 0.002820736 0.0028400163 0.0027083284 0.0038284014 0.003424244 0.003335846 0.002920775 0.0036119535 0.0033754976 0.0036679753 0.0030073542 0.0038975193 0.0038786028 0.0031004813 0.0031983377 0.0029586079 0.0031397694 0.0032499942 0.0032987404 0.003479902 0.0032521768 0.0029655197 0.002974614 0.0026363004 0.00261411 0.008299599 0.0034129668 0.002848383 0.0037825655 0.0034944532 0.0033012868 0.0027294275 0.0027316103 0.0047633112 0.0034948168 0.0028083674 0.0025231654 0.0032114338 0.002520619 0.0034824484 0.0028938553 0.0058895685 0.0027236072 0.0029229575 0.003591582 0.0060027037 0.0034657146 0.0044057174 0.027512906 0.013686616 7.0976403e-06 7.279631e-06 4.913751e-06 6.7336587e-06 7.279631e-06 2.1838894e-06 7.643613e-06 0.00038090668 1.2557363e-05 6.7336587e-06 6.7336587e-06 7.279631e-07 2.547871e-06 1.637917e-06 2.1656902e-05 0.004659874 1.0919446e-05 8.553567e-06 2.4750745e-05 2.4750745e-05 1.9655005e-05 1.4923244e-05 1.3831299e-05 0.00073032896 4.5497695e-06 7.0976403e-06 8.007594e-06 6.9156495e-06 5.459723e-06 7.461622e-06 4.3677785e-05 0.00035142418 5.4597234e-07 5.4597234e-07 2.7298615e-06 2.547871e-06 1.8199078e-06 1.637917e-06 1.637917e-06 5.4597234e-07 2.1838894e-06 2.1838894e-06 1.0919447e-06 1.637917e-06 5.4597234e-07 0.0 1.637917e-06 0.0025757155 9.099539e-06 1.32853265e-05 1.2921345e-05 1.2921345e-05 1.3831299e-05 1.7289123e-05 1.8381068e-05 1.0737455e-05 1.1283428e-05 2.7116626e-05 2.147491e-05 1.6925142e-05 1.2921345e-05 1.2011391e-05 0.00019582207 0.0036190685 5.623515e-05 4.5497694e-05 3.1302414e-05 4.8409547e-05 0.00011974993 7.752807e-05 7.6436125e-05 0.0005587117 2.4750745e-05 2.2202874e-05 1.4741253e-05 2.147491e-05 2.7480608e-05 3.8946026e-05 0.00043550393 0.0034612825 5.168538e-05 6.31508e-05 3.1302414e-05 4.8227554e-05 5.368728e-05 7.461622e-05 6.4060754e-05 0.00029318713 4.9865474e-05 3.4396257e-05 5.2049363e-05 4.2221858e-05 4.6225658e-05 3.9128015e-05 0.0004402357 0.0040360093 5.2777326e-05 8.535368e-05 7.425224e-05 0.00010009493 8.935747e-05 0.00013339924 0.00014886845 0.00084516517 5.168538e-05 9.336127e-05 8.0439924e-05 5.405126e-05 6.915649e-05 5.5507186e-05 0.0007394285 0.008527724 0.00030483454 0.00060475536 0.0002897293 0.00038145267 0.0003983778 0.001203323 0.00071649766 0.001559115 8.09859e-05 0.00011374424 9.7547054e-05 8.899349e-05 0.000113562244 0.0001517803 0.0010216963 0.0078021265 0.00038090668 0.00035142418 0.00034014074 0.0005501581 0.00044933523 0.0011343485 0.0006888351 0.0018967078 0.00011065039 0.00010227881 0.00010209683 0.0002900933 0.00068938104 0.0004475153 0.0010635541 0.0041144476 0.00039219012 0.00043259206 0.00094198424 0.00044114565 0.0003019227 0.0006535289 0.0005177638 0.0036203426 0.00012411771 0.000106464606 0.00011865798 0.00036416354 0.00072486926 0.0004615286 0.000847531 0.007773008 0.0005072083 0.0006668142 0.0008189585 0.0008933927 0.00055125006 0.0016146222 0.0011853059 0.0014542883 0.00023367615 0.00021183726 0.0002584269 0.00033085924 0.00057727477 0.00043150014 0.00150015 0.012265086 0.0013565592 0.0012571922 0.0068770675 0.0034459953 0.0015017879 0.0031988518 0.0021951727 0.0020166398 0.00072050147 0.0007710949 0.0006626284 0.00082914997 0.0010353455 0.0009745606 0.0018912482 0.008422351 0.0010682859 0.0012466368 0.000888843 0.0022370305 0.0013252568 0.001932924 0.0017467474 0.0035102381 0.0004436935 0.0004160309 0.000512668 0.0009998573 0.0014439148 0.001045173 0.0025777174 0.023802938 0.0041133557 0.004177052 0.003646549 0.00816538 0.0073294966 0.0036556488 0.0045612347 0.01740305 0.0017034337 0.0012078728 0.0020259214 0.0058082356 0.0039577535 0.005636982 0.012383927 0.02163652 0.0042758733 0.004301716 0.004437117 0.0093758 0.010236436 0.0048473245 0.0055518104 0.01808133 0.0021944449 0.0020783346 0.0027320455 0.0072224857 0.0047015497 0.0073911916 0.015796253 0.036356296 0.03346974 0.03457752 0.035739347 0.034397166 0.036749035 0.03667278 0.038788967 0.033862296 0.036545385 0.036375042 0.039490543 0.03539593 0.03951511 0.03840606 0.043297242 16712.0 8.390259 140218.0 0.0128086265 0.00512773 0.0056126886 0.0058195097 0.008729264 0.006318732 0.0052133105 0.006240283 0.006183229 0.0065683434 0.0063116006 0.0070390394 0.0072886506 0.006981985 0.008693606 0.005462922 0.010383831 0.009328332 0.010754682 0.017294498 0.0112753 0.009007403 0.0084511265 0.009549416 0.011182587 0.009192828 0.008643683 0.010526466 0.009763368 0.008850505 0.008743528 0.0076808967 0.0064613675 0.009150038 0.009684919 0.013792808 0.01086879 0.009085852 0.009235619 0.0076381066 0.008900426 0.010897317 0.006332996 0.0065754754 0.007844927 0.010234064 0.00753113 0.01111127 0.0093069365 0.006682452 0.009713446 0.01220956 0.014413271 0.0073528364 0.008272832 0.009164302 0.0071460153 0.00903593 0.0072315964 0.010405227 0.007538262 0.00952802 0.009085852 0.008543839 0.00512773 0.021252621 0.009463835 0.013842731 0.014427534 0.034888532 0.008108802 0.012195296 0.011959948 0.02250781 0.006304469 0.01001298 0.01807186 0.012751573 0.027378796 0.02772112 0.011203982 0.0058266413 0.02357044 0.015989387 0.031935986 0.012751573 0.007787873 0.00919996 0.008066012 0.007973298 0.0056768744 0.006732374 0.0066895834 0.008158724 0.010362436 0.01005577 6.4299183 0.0 0.0 0.0 53.0 2748928.0 2891776.0 0.0 0.0 13.0 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 1.0 0.0 4.0 0.0 595456.0 1024.0 4096.0 8.0 2.0 0.0 2.0 6.0 0.0 0.0 0.0 0.0 0.0 -34816.0 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 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -595456.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 2100736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6522646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5783415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.522801 0.0 0.0 0.0 0.0 0.0 0.0 -5.035391 7.5744305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -34688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 50261.0 0.0 0.0 0.0 0.0 0.0 -6988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -595348.0 0.0 0.0 0.0 0.0 0.0 0.0 -8864.0 2170880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8864.0 663552.0 2100736.0 720896.0 0.0 0.0 0.0 0.0 34688.0 684032.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 679936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2944218 0.013115091 0.0049652434 0.0052391877 0.013765709 0.0025339862 0.002397014 0.001746396 0.007567716 0.0024997431 0.00092456257 0.0009588056 0.0052391877 0.00058213196 0.0006506181 0.020854022 0.004794028 0.0006506181 0.00068486115 0.00020545835 0.0039379518 0.0019518542 0.00058213196 0.000616375 0.0029106599 0.00027394446 0.00037667362 0.00044515973 0.0024997431 0.0005478889 0.00034243058 0.0013354792 0.007567716 0.0006506181 0.00037667362 0.0019176112 0.039037086 0.0017806389 0.0023285279 0.0014039653 0.0033215766 0.004348868 0.0007191042 0.00037667362 0.001746396 0.0006506181 0.003595521 0.0009930487 0.0051022153 0.0063007227 0.0018833681 0.0018833681 0.004828271 0.0015409376 0.0017121529 0.0020203404 0.0068486114 0.0040749237 0.0020203404 0.0012669931 0.005958292 0.0013354792 0.00123275 0.00123275 0.003047632 0.0011642639 0.0012669931 0.004348868 0.01612848 0.0036982503 0.0014724515 0.002944903 0.0013697223 0.00078759034 0.0007191042 0.000616375 0.0068486114 0.0013354792 0.001746396 0.0005136459 0.002362771 0.00037667362 0.000616375 0.0019860973 0.006985584 0.0027052015 0.0019518542 0.0008560764 0.0015751807 0.00013697223 0.00075334724 0.001814882 0.0019860973 0.0015066945 0.001198507 0.0025682293 0.0013697223 0.0039379518 0.00089031947 0.016265452 0.0031161183 0.007910146 0.0022942848 0.00123275 0.0022257988 0.004520084 0.00037667362 0.0009930487 0.019963702 0.0015409376 0.0038009793 0.0033900626 0.003629764 0.0005136459 0.0074307434 0.004109167 0.016881827 0.0052391877 0.002362771 0.0013697223 0.0024655 0.001198507 0.000616375 0.00068486115 0.0028421737 0.0008560764 0.0002397014 0.0004109167 0.004691299 0.001130021 0.0011642639 0.012669931 0.00873198 0.008492278 0.0005478889 0.0016779097 0.0032530904 0.020169161 0.0003081875 0.015546348 0.00044515973 0.009108653 0.00034243058 0.0002397014 0.011197479 0.00013697223 0.00010272917 0.0002397014 0.00123275 0.00078759034 0.00010272917 0.00020545835 0.0003081875 0.0002397014 6.8486115e-05 0.00017121529 0.00058213196 0.0004794028 0.00037667362 0.0003081875 0.0028421737 0.0035612779 0.001746396 0.0014039653 0.0016436668 0.0013354792 0.00027394446 0.00013697223 0.00068486115 0.00017121529 0.00017121529 0.00020545835 0.0004794028 0.00010272917 0.00010272917 0.00017121529 0.0013012362 0.0003081875 0.00010272917 0.00027394446 0.0011642639 0.00027394446 0.007704688 0.0010957778 0.0017121529 0.0016779097 0.001130021 0.00123275 0.0016779097 0.00037667362 0.0005136459 0.00044515973 0.007156799 0.001130021 0.0014039653 0.0037324931 0.001814882 0.0004794028 0.004725542 0.010341403 0.00075334724 0.0032188473 0.0015751807 0.0007191042 0.00037667362 0.00013697223 0.0002397014 0.0005478889 0.0020203404 0.0016094237 0.0024312572 0.0027394446 0.00058213196 0.0003081875 0.00037667362 0.00058213196 0.001198507 0.0010272918 0.00068486115 0.0022257988 0.00013697223 0.0004109167 0.0008560764 0.0006506181 0.0010615347 0.00010272917 0.0005478889 0.0003081875 0.0009588056 0.0008218334 0.00044515973 0.0005136459 0.0057528336 0.007259528 0.0004794028 0.0020545835 0.0031161183 0.00068486115 0.00044515973 0.00075334724 0.0014382084 0.0009588056 0.00037667362 0.00068486115 0.00068486115 0.00044515973 0.0028764168 0.00089031947 0.0037667362 0.001130021 0.0027394446 0.0025339862 0.0014039653 0.001814882 0.0024312572 0.031503614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030183015 0.000108506945 0.0005244502 0.00054253475 0.0009765625 0.00045211226 0.002911603 0.001030816 9.042245e-05 0.0 5.4253473e-05 3.616898e-05 5.4253473e-05 1.808449e-05 3.616898e-05 1.808449e-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 0.027398003 0.000108506945 0.00047019677 0.00063295715 0.0003797743 0.0007233796 0.0039966726 0.0019350405 7.233796e-05 5.4253473e-05 0.0010489004 9.042245e-05 3.616898e-05 5.4253473e-05 3.616898e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061541524 0.00045211226 0.007902922 0.0039243344 0.005533854 0.0026765047 0.013798467 0.007233796 0.001066985 0.000922309 0.0027307582 0.00032552084 0.0007052951 0.00027126737 0.00045211226 0.0015733507 0.08581091 0.0024052372 0.010054977 0.011773003 0.0069986978 0.0047200522 0.022931134 0.011646412 0.0063657407 0.0033275464 0.005280671 0.0016276041 0.0037796586 0.0014829283 0.002766927 0.0042136866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.089988425 0.0094401045 0.031213831 0.017451534 0.01989294 0.0103081595 0.012188947 0.015552662 0.04425275 0.0038881656 0.0021158855 0.0113932295 0.01864511 0.00833695 0.010597511 0.028067129 0.06709346 0.009982639 0.023582175 0.009964555 0.015733507 0.011411314 0.019567419 0.01510055 0.041051794 0.008825231 0.0041775173 0.008192275 0.016474972 0.008174189 0.0124782985 0.0244864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 225.0 12.622222 2840.0 0.051056337 0.0017605633 0.0014084507 0.0007042253 0.033098593 0.0042253523 0.00035211266 0.00035211266 0.00915493 0.00915493 0.0059859157 0.0010563381 0.0017605633 0.0017605633 0.028169014 0.004577465 0.022183098 0.0031690141 0.0102112675 0.008802817 0.020422535 0.008802817 0.011619719 0.007394366 0.006690141 0.014788732 0.013028169 0.0042253523 0.0042253523 0.0031690141 0.0049295775 0.0042253523 0.0017605633 0.0049295775 0.0024647887 0.024647888 0.012323944 0.0031690141 0.0014084507 0.022183098 0.0024647887 0.0035211267 0.0017605633 0.0010563381 0.016197182 0.0042253523 0.010915493 0.0024647887 0.0049295775 0.0014084507 0.0035211267 0.0042253523 0.0063380282 0.0126760565 0.0031690141 0.0014084507 0.0007042253 0.00035211266 0.0035211267 0.0021126762 0.0017605633 0.0014084507 0.0017605633 0.016549297 0.0017605633 0.029225351 0.006690141 0.033450704 0.023239437 0.06443662 0.0070422534 0.008098591 0.0070422534 0.03274648 0.0010563381 0.0063380282 0.04894366 0.0102112675 0.029929578 0.02640845 0.01971831 0.0021126762 0.037323944 0.027112676 0.047887325 0.015140845 0.0049295775 0.0059859157 0.0049295775 0.0070422534 0.0038732395 0.0007042253 0.0017605633 0.0007042253 0.0 0.00035211266 5.7300878 0.0 0.0 0.0 9.0 29203.0 65536.0 0.0 3.0 55.0 1.0 1.0 0.0 1.0 0.0 2255114200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 27.0 4.0 0.0 4.0 0.0 18944.0 1024.0 4096.0 11.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 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 0.0 512.0 0.0 0.0 -18944.0 -2048.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -2.153234 0.0 0.0 -6.447375 0.0 0.0 -1.4145502 0.0 0.0 0.0 0.0 0.0 5.028468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2483733 0.0 0.0 0.0 0.0 0.0 4.314893 0.0 0.0 -6.2729163 -4.840465 3.2695937 0.0 0.0 0.0 -4.3128147 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -856.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 2284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 964.0 0.0 0.0 -28.0 0.0 0.0 0.0 0.0 0.0 168.0 0.0 0.0 -18632.0 -1748.0 928.0 0.0 0.0 0.0 -40.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 36864.0 1748.0 40960.0 928.0 53248.0 0.0 0.0 0.0 0.0 856.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 49156.0 0.0 0.0 0.0 0.0 240.0 41320.0 0.0 0.0 0.0 0.0


Input: 0.11832409 0.008974446 0.0040562465 0.0037858302 0.009075852 0.0033633045 0.0042590587 0.0014872904 0.0064223907 0.0015041914 0.0045294752 0.001267577 0.004394267 0.0020281232 0.0012844781 0.009616685 0.0046815844 0.0014872904 0.0007943483 0.0016563007 0.0021464305 0.008315305 0.0009802596 0.0010309627 0.0026365602 0.0007098432 0.00089575443 0.0011323688 0.0026027584 0.025605056 0.024810709 0.0011154679 0.030827474 0.00077744725 0.0007098432 0.00087885343 0.010799756 0.003650622 0.00077744725 0.0012844781 0.0036168199 0.0029069767 0.0011661709 0.0014365873 0.003667523 0.003025284 0.0038027312 0.0019436182 0.0090589505 0.0033464034 0.003092888 0.007875879 0.0034140076 0.0028393727 0.0020957275 0.001842212 0.0022309357 0.0021464305 0.0029407789 0.0020112223 0.002383045 0.0038703354 0.0036168199 0.0016901027 0.0021126284 0.0039548404 0.00086195243 0.0027379664 0.0058477554 0.008112493 0.0020281232 0.0014703894 0.002416847 0.0035661168 0.00052393187 0.001183072 0.004326663 0.0032957003 0.0022309357 0.0028731746 0.009599783 0.0019098162 0.0026365602 0.004901298 0.0046815844 0.00427596 0.0062026773 0.002991482 0.0017746079 0.0013351812 0.00057463493 0.0020450244 0.0010985668 0.0046984856 0.002991482 0.0076054623 0.0016055977 0.013351812 0.003752028 0.0088392375 0.009836398 0.02682193 0.009244862 0.005442131 0.011729313 0.01348702 0.0046308814 0.0031942942 0.007994186 0.0057125473 0.015430639 0.01774608 0.006861817 0.0007436452 0.0153799355 0.015363034 0.027176853 0.010749053 0.003025284 0.0020619254 0.0020619254 0.004833694 0.0007943483 0.00027041644 0.001825311 0.0007943483 0.00077744725 0.0006929421 0.0057294485 0.006371687 0.0053407247 0.010681449 0.0027379664 0.0064899945 0.001825311 0.00057463493 0.0016055977 0.0058477554 0.00052393187 0.017475663 0.002383045 0.0053238235 0.00064223906 0.0007267442 0.0013182801 0.00064223906 0.000625338 0.0006760411 0.001233775 0.0011492699 0.00076054625 0.000625338 0.0010985668 0.00047322878 0.0006760411 0.0007436452 0.0011999729 0.0007943483 0.0006760411 0.0006929421 0.0017070038 0.0032957003 0.00082815037 0.0011492699 0.001233775 0.00045632775 0.00032111953 0.0003718226 0.00077744725 0.00042252569 0.00042252569 0.0002535154 0.000591536 0.00033802056 0.00042252569 0.0003042185 0.0022140346 0.0003718226 0.00040562465 0.00027041644 0.0010309627 0.00043942672 0.0003718226 0.00057463493 0.0019267171 0.0006760411 0.0007098432 0.00052393187 0.0007436452 0.00052393187 0.00057463493 0.00045632775 0.0077575715 0.0014365873 0.0010985668 0.004952001 0.0065406975 0.00064223906 0.000625338 0.0029745807 0.0019943214 0.0010647647 0.000591536 0.00040562465 0.012016631 0.0013858842 0.00096335856 0.0007267442 0.001876014 0.00047322878 0.000591536 0.0005408329 0.0009126555 0.00028731747 0.0009126555 0.002552055 0.0014196864 0.000625338 0.0004901298 0.000591536 0.001250676 0.0014027853 0.00042252569 0.0012844781 0.0012844781 0.0003549216 0.0003718226 0.00055773393 0.0014872904 0.0033633045 0.0007267442 0.00042252569 0.006135073 0.00094645756 0.00057463493 0.0017070038 0.0039210385 0.00027041644 0.00038872362 0.00057463493 0.0027548675 0.00052393187 0.0030083829 0.0006929421 0.0016224986 0.00038872362 0.001233775 0.0013520822 0.0027717685 0.00047322878 0.0007267442 0.0005408329 0.0034309085 0.00096335856 0.0026703624 0.03077677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004098075 0.0 0.0037841797 4.359654e-05 6.975447e-05 0.00034877233 0.009172712 0.0040283203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004237584 0.0 0.008300781 0.00089808874 0.0005144392 0.0010463169 0.02558245 0.01297433 0.0 0.0 0.0 8.719308e-06 0.0 0.0 0.0 8.719308e-06 0.009878976 0.0006190709 0.011736189 0.0014299665 0.007969447 0.006513323 0.033700127 0.016462054 0.0002179827 0.00030517578 3.4877234e-05 0.000113351 4.359654e-05 4.359654e-05 6.1035156e-05 0.00015694754 0.0071411133 0.00027029854 0.0019618443 0.00047956195 0.0021100726 0.002833775 0.012991769 0.0073242188 0.00013950893 0.0001046317 7.847377e-05 6.1035156e-05 4.359654e-05 5.231585e-05 5.231585e-05 6.975447e-05 0.03134591 0.006312779 0.013009207 0.001953125 0.009861537 0.009120396 0.040248327 0.022103446 0.0020141602 0.0017089844 0.0014648438 0.00061035156 0.00072370254 0.0008370536 0.00037493024 0.0011683872 0.035086494 0.0038713727 0.0043422156 0.019365583 0.00251988 0.0031651089 0.010454451 0.0061035156 0.003479004 0.0025373187 0.0024762836 0.0018572126 0.002999442 0.0019792828 0.002380371 0.004525321 0.0029907227 0.0007847377 0.0006888253 0.006992885 0.0005405971 0.0006190709 0.000906808 0.0006539481 0.00055803574 0.00039236885 0.0004446847 0.000453404 0.0004359654 0.00046212334 0.000453404 0.00047956195 0.023428781 0.024344308 0.004045759 0.0040544784 0.006766183 0.01273019 0.0059029716 0.005606515 0.025120327 0.0018484934 0.0015694754 0.0019880023 0.016819546 0.003479004 0.0057111466 0.017299106 0.064871654 0.04534912 0.023672922 0.01890346 0.017412458 0.023498535 0.022286551 0.019601004 0.043683734 0.0059814453 0.006321498 0.006251744 0.024588449 0.00844901 0.0134713305 0.030657087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 795.0 24.01132 19089.0 0.089423224 0.00041908954 0.00036670335 0.0008905652 0.0018335166 0.0011524962 0.0006286343 0.001623972 0.0076483837 0.0076483837 0.0008905652 0.0007334067 0.007438839 0.007753156 0.010477238 0.0034051025 0.010634397 0.005448164 0.0050814603 0.004086123 0.0041908952 0.0038241919 0.0033527163 0.0023049924 0.0017287442 0.0030907854 0.005762481 0.0019906752 0.002986013 0.003876578 0.0055529363 0.001623972 0.0005238619 0.009062811 0.001623972 0.0063911155 0.0041908952 0.0075436113 0.0036670333 0.0025669234 0.0017287442 0.009429514 0.00036670335 0.0014668134 0.0056053223 0.0033527163 0.005238619 0.007176908 0.0112630315 0.0008905652 0.0062339567 0.0113154175 0.008224632 0.0033527163 0.0037718057 0.0021478338 0.0008905652 0.0007334067 0.0007857929 0.0021478338 0.0007334067 0.001938289 0.0006810205 0.01718267 0.0006286343 0.04028498 0.0103724655 0.026193095 0.02724082 0.08161768 0.017496988 0.016187333 0.01608256 0.04033737 0.0016763582 0.008905653 0.02310231 0.016868353 0.045314055 0.053276755 0.0152967675 0.0005238619 0.046361778 0.044790193 0.06878307 0.017025512 0.007072136 0.00550055 0.0028812406 0.01210121 0.0018335166 0.00020954477 0.0012048824 0.00020954477 0.00020954477 0.00031431715 5.3999166 1.0 18.0 0.0 4.0 59168.0 61440.0 1.0 1.0 152.0 1.0 0.0 1.0 0.0 0.0 1425921400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14.0 0.0 6.0 0.0 6.0 0.0 27136.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7259355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.441053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0006323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4532876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9502.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26650.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 0.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77.0 38896.0 140.0 38976.0 0.0 0.0 0.0 0.0 6432.0 52736.0 2976.0 57344.0 56.0 38496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 38552.0 0.0 0.0 632.0 32768.0 0.0 0.0 0.0 0.0