Input: 0.23096317 0.021025771 0.0063426136 0.005198071 0.005009749 0.007610074 0.0028935128 0.0029161738 0.009447031 0.0019565925 0.002199848 0.0018857961 0.002288617 0.0025671925 0.0026587748 0.011012446 0.008442205 0.002603294 0.0014939931 0.0026973768 0.0017034131 0.01111153 0.0010592121 0.00118924 0.004158941 0.0035023156 0.0008791734 0.0009560649 0.0012134641 0.00086823356 0.00083260087 0.0018798573 0.007856923 0.0011468872 0.00212491 0.0009986522 0.012767276 0.0010579618 0.0008462757 0.0009453595 0.0034985647 0.0008204108 0.0008085332 0.0021362405 0.0009889626 0.0012385475 0.001172127 0.0010742935 0.006028796 0.0010958606 0.0011799412 0.0053395857 0.0018884529 0.0009017564 0.0008273654 0.000964348 0.0036553952 0.0018171875 0.00088464335 0.0028718675 0.00097200583 0.0009859932 0.00068921066 0.0007851688 0.010688939 0.008589659 0.0016507455 0.0026030596 0.0068427995 0.0070869145 0.0027131615 0.0016580909 0.068268895 0.007114889 0.001428354 0.0018006215 0.009320442 0.0057881977 0.0013184084 0.001433355 0.0040196143 0.001453203 0.002162965 0.0017092738 0.0027001898 0.0027956793 0.0017376392 0.0025441407 0.0028615526 0.0008862843 0.0007046046 0.0014674249 0.003103558 0.0017609255 0.0015162635 0.002302839 0.0030516717 0.003038075 0.0011331342 0.002262049 0.0026464283 0.0043345257 0.0028480343 0.0011940849 0.002383872 0.0020937314 0.0006325579 0.0009105083 0.0020992795 0.001632773 0.0019842547 0.0026279087 0.003920843 0.00066506484 0.003395183 0.0023989533 0.009210496 0.005317784 0.00391256 0.0024842059 0.0030476865 0.0016061265 0.00068280305 0.00088487775 0.0012369065 0.0011522009 0.0007960305 0.0010844519 0.0077615906 0.0016215986 0.00075930386 0.010591106 0.004146673 0.008574031 0.00060270773 0.00096973975 0.0017871811 0.014238999 0.0012896523 0.04015199 0.0009150405 0.012234193 0.0005315205 0.0005997383 0.02018684 0.0005955187 0.0005052649 0.0015805742 0.0014067087 0.0007567252 0.00051831454 0.001390299 0.0013922525 0.00070015056 0.0012077597 0.000579187 0.0010776536 0.0007287504 0.0005396473 0.0006899921 0.0022804902 0.00087143737 0.0008170507 0.00092222955 0.0010055287 0.00087307836 0.0008547932 0.001021157 0.0017281059 0.00090621045 0.00090785144 0.0009443437 0.000987478 0.0008191605 0.00084111834 0.0010070915 0.0022576728 0.0006424819 0.0009508294 0.00066936266 0.0006365431 0.0004157925 0.0006624862 0.0013221593 0.0022779899 0.0024646705 0.0013394286 0.0008047824 0.00066092337 0.00047603986 0.0005806717 0.0006870227 0.007834888 0.0028768685 0.0012658191 0.0038863043 0.0034415994 0.0006506868 0.001557913 0.0041849623 0.00270566 0.006332377 0.0016534805 0.0024139564 0.0021345995 0.00062200875 0.0013664657 0.001805857 0.0025736783 0.0007551624 0.0028695231 0.0007584443 0.00066123594 0.00053425547 0.00093981146 0.0009950576 0.0018846239 0.0010282679 0.000709215 0.0013997541 0.00077555736 0.0004125887 0.0004669754 0.000673426 0.0025808674 0.0005712166 0.00047424258 0.0006851473 0.00065170263 0.00038500465 0.0004288422 0.000634824 0.006801853 0.0031161387 0.0007600071 0.0022239157 0.0031947494 0.00069944724 0.00043118646 0.00061778905 0.0037861266 0.0008289282 0.0011029715 0.0008844089 0.0008676865 0.0005172206 0.0014650807 0.0010429586 0.004005471 0.0012286236 0.0010157652 0.00066131406 0.00092957483 0.0007025729 0.0021571824 0.038471866 0.0018320315 2.1491253e-06 7.0335005e-07 0.0 5.4705004e-07 2.7352502e-07 1.2894751e-06 7.815001e-07 1.0550251e-06 1.9537502e-07 3.9075005e-08 5.8612505e-07 3.1260004e-07 3.9075005e-07 0.0 2.3445003e-07 7.5961805e-05 0.0 0.0 0.0 0.0 3.9075005e-08 3.9075005e-08 0.0 7.815001e-08 1.5630002e-07 6.252001e-07 6.252001e-07 6.252001e-07 6.252001e-07 6.252001e-07 6.252001e-07 0.0060077817 2.0514377e-05 2.2468128e-05 5.2751257e-05 3.0712952e-05 5.6658755e-06 2.1413101e-05 1.4848501e-05 0.000112496935 4.3373253e-05 3.1260004e-06 2.5320602e-05 6.3653184e-05 9.807826e-06 3.4776754e-06 0.00012468833 0.024710368 0.00012875214 0.0005520126 0.00024078018 0.00017235984 4.1028754e-05 9.245146e-05 4.419383e-05 0.00041278833 0.00019646912 3.8449805e-05 0.00011941321 0.00043213047 0.00010909741 7.3226554e-05 0.0005654153 0.007218521 6.576323e-05 0.00021280248 7.7720186e-05 7.6000884e-05 4.075523e-05 6.0839782e-05 4.2826203e-05 0.00014367879 8.272178e-05 2.1139576e-05 4.036448e-05 0.00011507588 4.3764005e-05 3.9348528e-05 0.00020139257 0.006930577 0.000109917986 0.00010925371 7.1741706e-05 0.00010464286 9.440521e-05 0.000333935 0.00020838699 0.00062547356 8.3464205e-05 6.302798e-05 7.131188e-05 7.0100556e-05 6.4200234e-05 3.9700204e-05 0.00014278006 0.013537418 0.00021518605 0.00046229636 0.00021975783 0.00028634162 0.00028942854 0.002210981 0.0011273138 0.0009298288 0.00016540449 8.014283e-05 7.3343785e-05 7.0022405e-05 0.00010245466 8.709818e-05 0.0005495118 0.022132669 0.00043744466 0.00087723386 0.00043392793 0.0016283336 0.00083311816 0.0055188756 0.0027243875 0.0006767791 0.00030630897 0.00014950096 0.00013312855 0.00012816601 0.00014258469 0.00013219073 0.0007972082 0.054123648 0.0021878094 0.0024608264 0.0012769321 0.0035037384 0.0019253427 0.005177008 0.004003117 0.0018962709 0.0015088812 0.0016581087 0.0009690601 0.0012939296 0.0007668079 0.00070166984 0.006575659 0.04348317 0.0016617427 0.0023281279 0.0024467986 0.0028462233 0.0018941218 0.003503582 0.003073249 0.002783586 0.001287873 0.0016705736 0.0012100356 0.0014684778 0.0008044762 0.00082753046 0.0071355253 0.004720417 0.0002838799 0.00040305866 0.00062066736 0.0007192927 0.0006378213 0.00147176 0.0008469507 0.0006504816 0.00013375374 0.0002335513 0.00016009029 0.00019951697 0.000108745735 9.940681e-05 0.00031431933 0.018196097 0.0047353045 0.0014675399 0.0019497254 0.002425659 0.0017946368 0.0015516293 0.0035538326 0.0011332532 0.001088864 0.00562641 0.0009838304 0.0022774865 0.00079419947 0.0010043448 0.0011931162 0.011072606 0.0024997452 0.0016731917 0.0013792695 0.0051189037 0.0014076771 0.0011443506 0.0021986333 0.0033695158 0.0023129277 0.0011885444 0.0011861217 0.0017013648 0.00081690203 0.000858556 0.0011241878 0.06875224 0.02052825 0.018383656 0.013436526 0.080413274 0.015475226 0.008371117 0.015540363 0.061349865 0.01606854 0.003677544 0.007128922 0.023523582 0.008300351 0.011301077 0.02467649 0.033060033 0.0116543155 0.010487262 0.008614944 0.040932436 0.009241434 0.0053329174 0.008369475 0.03264865 0.010542241 0.0023509085 0.004717056 0.013354938 0.0053438586 0.009041683 0.016218862 0.00011749854 5.8417132e-05 4.091153e-05 6.115238e-05 5.7596557e-05 4.5014403e-05 7.5610136e-05 4.560053e-05 4.888283e-05 3.567548e-05 2.4343728e-05 2.7899552e-05 3.6144378e-05 2.8876428e-05 4.669463e-05 4.9937855e-05 31143.0 10.700446 333244.0 0.01055983 0.0013983748 0.0010832903 0.00089123886 0.026665146 0.00044111823 0.0004921319 0.0004201126 0.003555953 0.0005641512 0.0003510941 0.002943789 0.0015514158 0.0028777712 0.0047082617 0.0014313837 0.013605646 0.0063437 0.005683523 0.012630385 0.0060406188 0.0049393238 0.005302421 0.005098366 0.010331769 0.014541897 0.0029227834 0.006484738 0.003186854 0.0012453337 0.0026917213 0.0041861217 0.019019097 0.0992426 0.002682719 0.008354239 0.018220883 0.012405325 0.0042281332 0.003018809 0.04078693 0.0089934105 0.00064817374 0.0023406274 0.01287345 0.006589766 0.003126838 0.0042071277 0.008162187 0.0022115926 0.004336162 0.009503547 0.016357385 0.020045372 0.031448428 0.03123237 0.004261142 0.0010232743 0.0022866128 0.0070278835 0.013275558 0.016165333 0.026329055 0.031409416 0.0027037247 0.028423617 0.010004682 0.018118856 0.017929805 0.041204043 0.015685204 0.0058785756 0.0064007156 0.0190341 0.00039010454 0.0022626063 0.014223812 0.011048961 0.020024367 0.024225492 0.010043692 0.0008672324 0.026551116 0.02055851 0.03226765 0.012933467 0.0033669022 0.0021665806 0.004006074 0.004213129 0.0006271681 0.0006751809 0.0023706353 0.0008012147 0.00066917937 0.003339895 5.7719803 2.0 60.0 0.0 21.0 12797248.0 12939264.0 1.0 0.0 217.0 1.0 1.0 1.0 1.0 0.0 1541728300.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 7998976.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -111616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3750912.0 0.0 0.0 0.0 0.0 387072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7998976.0 0.0 406528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.462662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.340722 0.0 0.0 0.0 0.0 6.506243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1244683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4117403 0.0 0.83685446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3750864.0 0.0 0.0 0.0 0.0 386784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -263585.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7998574.0 0.0 406592.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 3.0 -2.0 0.0 2.0 -1.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 -1.0 -2.0 0.0 2.0 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 -2.0 0.0 1.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 -4.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 -3.0 2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -2.0 -2.0 0.0 -2.0 0.0 2.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 -3.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 4.0 1.0 1.0 2.0 -2.0 -1.0 -2.0 0.0 2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 2.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 3.0 1.0 -1.0 2.0 2.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -4.0 1.0 0.0 1.0 -3.0 1.0 0.0 -3.0 -1.0 1.0 -1.0 -2.0 2.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 1.0 -2.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -3.0 1.0 -2.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 2.0 2.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 1.0 2.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 2.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 -2.0 -1.0 0.0 -1.0 1.0 -1.0 2.0 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 2.0 1.0 0.0 -2.0 2.0 -1.0 0.0 0.0 4.0 1.0 0.0 0.0 -2.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 -2.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 -3.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 4.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 2.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 3.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 2.0 3.0 -2.0 1.0 1.0 1.0 1.0 1.0 0.0 2.0 0.0 2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 2.0 1.0 -1.0 3.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 -2.0 -1.0 5.0 2.0 1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -3.0 0.0 1.0 -1.0 1.0 3.0 -1.0 1.0 1.0 0.0 -1.0 2.0 0.0 0.0 2.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 2.0 1.0 -1.0 -1.0 0.0 1.0 2.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 -2.0 -1.0 -1.0 1.0 -2.0 3.0 2.0 0.0 0.0 -2.0 2.0 1.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -2.0 4.0 -1.0 2.0 0.0 2.0 0.0 -2.0 1.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 2.0 -1.0 1.0 2.0 -1.0 0.0 1.0 -4.0 0.0 1.0 0.0 1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 2.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 -2.0 3.0 -1.0 -1.0 3.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 1.0 1.0 2.0 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 1.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 4.0 -2.0 0.0 2.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -3.0 2.0 2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 1.0 2.0 0.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -3.0 4.0 -3.0 0.0 0.0 1.0 1.0 0.0 -2.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 2.0 1.0 1.0 0.0 0.0 2.0 1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -2.0 2.0 4.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 2.0 1.0 2.0 0.0 0.0 -1.0 -1.0 2.0 1.0 -1.0 -1.0 1.0 0.0 2.0 0.0 -2.0 1.0 1.0 2.0 1.0 2.0 2.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 3.0 0.0 -2.0 -2.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 2.0 -1.0 0.0 3.0 2.0 -1.0 3.0 1.0 0.0 0.0 1.0 0.0 -1.0 3.0 1.0 -4.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 -1.0 1.0 -3.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 -2.0 0.0 -2.0 0.0 3.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 2.0 -2.0 0.0 3.0 1.0 -2.0 2.0 2.0 0.0 2.0 -3.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 2.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10499.0 8433664.0 540.0 9876292.0 408544.0 12414976.0 386784.0 12021760.0 16192.0 12781056.0 111340.0 12824576.0 84.0 9898484.0 0.0 0.0 0.0 0.0 40.0 9861560.0 256.0 8355200.0 0.0 0.0 13408.0 8003600.0 1056.0 9864588.0 0.0 0.0


Input: 0.0062998715 0.003990507 0.0038866687 0.00395676 0.0039012062 0.0039406647 0.0038352688 0.0038903032 0.0039349534 0.0039188587 0.003843576 0.0038041172 0.003906398 0.0039432608 0.0039069173 0.0039448184 0.003963509 0.0039640283 0.0039178203 0.0039115897 0.003863305 0.0039432608 0.003830596 0.0038487678 0.003933396 0.0039354726 0.003768293 0.0037833496 0.003932877 0.0038503252 0.0039780466 0.0038705738 0.004074097 0.0039422223 0.0039100326 0.003876285 0.003925089 0.0038549982 0.0038342304 0.0039095134 0.0038866687 0.0039022446 0.0038892648 0.0038243658 0.00387317 0.0038882263 0.003922493 0.0038840729 0.0037906184 0.0039266464 0.003935992 0.0039344346 0.0038840729 0.0038918606 0.0038596708 0.003878881 0.0039266464 0.00393703 0.0038679778 0.0038295577 0.0038669396 0.0039069173 0.003947933 0.003813982 0.0040595597 0.0038700546 0.0039230124 0.004011794 0.0038259234 0.0040185433 0.003923531 0.0038877071 0.0039541638 0.003887188 0.003846691 0.0038705738 0.0039048404 0.003946895 0.0039349534 0.0038570748 0.004009717 0.0039230124 0.0038690162 0.0039344346 0.0038586324 0.0039640283 0.0039230124 0.0039640283 0.0038638243 0.00387317 0.0038586324 0.0039349534 0.0038503252 0.0038768041 0.0039230124 0.0039287233 0.003917301 0.003987392 0.003854479 0.0038456526 0.0038581132 0.004093307 0.0039380686 0.0039297617 0.00400141 0.0039806427 0.0038425375 0.0038404607 0.0039749313 0.0039993334 0.0038747273 0.0039702584 0.003898091 0.0038913414 0.003919897 0.0038529213 0.004108883 0.003952087 0.0039240504 0.0038176163 0.003876285 0.0038887456 0.0039079557 0.0038752465 0.0038757657 0.0038866687 0.0038555174 0.0038949759 0.003865382 0.0039577982 0.003781792 0.003926127 0.003958317 0.003914705 0.0037989253 0.0038503252 0.0038659011 0.0038752465 0.0039048404 0.004125497 0.0038721315 0.0039842767 0.003811386 0.003819174 0.003895495 0.0037771193 0.0038695354 0.0037781578 0.003922493 0.003926127 0.0038254042 0.0038700546 0.0038934182 0.003878881 0.0038700546 0.003811386 0.003906398 0.0037916566 0.0038098283 0.003881996 0.0038700546 0.0038783618 0.0037781578 0.0038736889 0.0038643435 0.0038773234 0.003933396 0.0038866687 0.0038461718 0.003878881 0.003878881 0.003914705 0.003915224 0.0038581132 0.0038051556 0.0038716123 0.0038285193 0.003841499 0.0039204163 0.0039100326 0.0037781578 0.0038721315 0.003876285 0.0039432608 0.00394378 0.0038259234 0.0038124244 0.0038939374 0.0038695354 0.003797368 0.0038487678 0.0038160586 0.0039837575 0.0039297617 0.0038555174 0.003958836 0.003895495 0.0038856303 0.0037719274 0.003978566 0.0039012062 0.0039079557 0.0038591516 0.0037994445 0.00387317 0.0038996486 0.0038508445 0.0037890607 0.0038856303 0.0037864647 0.003955202 0.0039354726 0.0038207315 0.003878881 0.00386019 0.0039230124 0.003852402 0.0039775274 0.0038461718 0.0038747273 0.003906398 0.003838903 0.0038799192 0.0038882263 0.003930281 0.003800483 0.003915224 0.0038607093 0.0038378648 0.0037999637 0.0038617477 0.0039323578 0.004090711 0.0039271656 0.0038939374 0.0038825152 0.003987911 0.0037496022 0.0036930102 0.0038960143 0.0038986101 0.003865382 0.003910552 0.0038918606 0.0039401455 0.0039001678 0.0038986101 0.0039427415 0.0039048404 0.0038804384 0.0038757657 0.0038747273 0.0038923798 0.0039536445 0.0038690162 0.0050553693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003354822 2.0788984e-06 1.5591737e-06 0.00013149032 4.157797e-06 1.0394492e-06 3.897934e-06 2.0788984e-06 2.3387606e-06 0.0 5.197246e-07 1.5591737e-06 7.7958686e-07 2.598623e-07 5.197246e-07 4.4436452e-05 0.00029468385 2.0788984e-06 1.819036e-06 2.598623e-06 3.845962e-05 1.6371325e-05 0.00010966189 5.7429566e-05 1.0394492e-06 7.7958686e-07 5.197246e-07 1.2993115e-06 1.5591737e-06 2.598623e-07 2.598623e-07 3.3782098e-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 0.00029962123 6.7564197e-06 1.7670636e-05 7.276144e-06 4.3916727e-05 1.6631187e-05 7.432062e-05 4.0018793e-05 6.7564197e-06 2.0788984e-06 4.157797e-06 2.598623e-06 3.1183474e-06 2.598623e-06 2.3387606e-06 2.3387606e-06 0.00042773335 2.1828433e-05 0.000108882305 0.00020840956 0.00013071073 4.781466e-05 0.0002707765 0.00014552288 1.8969948e-05 9.09518e-06 4.157797e-06 6.7564197e-06 1.3252977e-05 5.197246e-06 5.7169705e-06 0.00017176897 0.00020762997 0.00014760178 0.00019515658 0.00014318412 0.00016371325 7.613965e-05 4.651535e-05 2.2088296e-05 2.3387607e-05 1.8450222e-05 2.598623e-06 5.4571083e-06 1.1693804e-05 2.494678e-05 5.7169705e-06 0.00050231384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00036978404 6.782406e-05 3.845962e-05 5.3531632e-05 0.00015825614 0.0001268128 0.0001447433 0.00012733252 0.00014136509 8.5754555e-06 8.5754555e-06 1.6111462e-05 7.0162816e-05 3.6640584e-05 6.912337e-05 0.00015929558 0.00097006594 0.00034093932 0.00013954606 0.0002432311 0.0003500345 0.000532198 0.00024037262 0.00030403887 0.0005870289 4.651535e-05 5.7429566e-05 8.263621e-05 0.00028376962 0.00013175019 0.00030144025 0.00071098324 0.061794475 0.061718594 0.061902836 0.06142885 0.061846446 0.06174588 0.062019255 0.061739642 0.06153825 0.061634917 0.061871912 0.061681952 0.061776284 0.06191713 0.06169209 0.061983135 9016.0 5.79858 52280.0 0.011361898 0.00979342 0.01048202 0.009563887 0.010424636 0.010022953 0.010271614 0.009831675 0.0101185925 0.01065417 0.010080337 0.009066565 0.008856159 0.009678653 0.01099847 0.0102333585 0.009334354 0.010290742 0.009908186 0.010405509 0.009908186 0.009774292 0.010022953 0.009850804 0.009697781 0.009774292 0.009946442 0.010214231 0.009659526 0.010022953 0.0101185925 0.009372609 0.009716909 0.010615914 0.009812548 0.011189748 0.0101951035 0.011228003 0.01065417 0.010462892 0.009468248 0.009869931 0.0102333585 0.010290742 0.009678653 0.011151492 0.010022953 0.009850804 0.011113237 0.009984698 0.009755164 0.010367253 0.010214231 0.010061209 0.009831675 0.011381025 0.0107115535 0.0101185925 0.010042081 0.010080337 0.010080337 0.00962127 0.009889059 0.009812548 0.0102333585 0.011476664 0.010348125 0.011400153 0.010979342 0.016296864 0.01013772 0.0096021425 0.010730681 0.012719969 0.009869931 0.009506503 0.012069625 0.010730681 0.012566947 0.012433053 0.011113237 0.009984698 0.013102525 0.012012241 0.013064269 0.011189748 0.010941086 0.010501147 0.0101185925 0.010960214 0.010902831 0.0096403975 0.009238714 0.009659526 0.009678653 0.009544759 6.5783925 1.0 0.0 0.0 30.0 1926071.0 32768.0 1.0 0.0 83.0 0.0 1.0 0.0 0.0 0.0 1352195300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 14848.0 1024.0 4096.0 3.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44566435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5391335 0.0 5.699371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14372.0 0.0 6009.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 16508.0 6009.0 24576.0 0.0 0.0 4344.0 1942040.0 0.0 0.0 28.0 4448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 348.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1431057 0.008670878 0.004205538 0.0034398728 0.006270211 0.0039669704 0.0020384432 0.0019697456 0.007920201 0.001517591 0.001709944 0.0015125948 0.0045952406 0.0013789468 0.0012365556 0.003908265 0.0061927703 0.0015125948 0.001192839 0.0009005622 0.0024831034 0.0019922284 0.0007719105 0.00083061564 0.0023194784 0.00075942 0.0008356118 0.00071570335 0.0016262579 0.0006082854 0.00059829303 0.000569565 0.003910763 0.0005907988 0.0006569982 0.00054708216 0.0041868025 0.001327736 0.00046839227 0.00056581787 0.001192839 0.00065824727 0.0005883007 0.00095052406 0.0011141491 0.002360697 0.0006819791 0.00052210124 0.0053121927 0.0026704604 0.002850323 0.010165986 0.0029764767 0.001897301 0.0024056628 0.0016262579 0.0034848384 0.0019747417 0.00072069955 0.0014951081 0.001681216 0.0009842482 0.00046964132 0.00053334265 0.011877179 0.003963223 0.004944973 0.008905699 0.0039032688 0.03284991 0.0032974815 0.0027329128 0.0034136428 0.003579766 0.0022083134 0.0023756856 0.0027341617 0.004426619 0.0011703562 0.00154507 0.0091405185 0.0021633478 0.0020746654 0.009843732 0.0032337802 0.013961837 0.003251267 0.002114635 0.0019435156 0.0065724803 0.002766637 0.0032887382 0.0015800432 0.0046789264 0.0023994173 0.003637222 0.0058168075 0.0044478527 0.0016612313 0.0032637573 0.009250435 0.0061715366 0.0039057669 0.001543821 0.007795296 0.0042405115 0.0036447165 0.0013702036 0.0034536123 0.0017299288 0.004359171 0.0040569017 0.003065159 0.0016937064 0.00485754 0.0038595523 0.0102146985 0.0055969753 0.0017111931 0.0010954133 0.0027429052 0.001275276 0.00053584075 0.000595795 0.0016687255 0.0025418086 0.0010729305 0.0008830755 0.0052934573 0.001169107 0.0010991605 0.009149263 0.0031513432 0.003257512 0.0010442025 0.00062452303 0.0026879471 0.015333289 0.002254528 0.052220117 0.0012078275 0.011105268 0.0008655889 0.0006869753 0.002681702 0.00044840752 0.00073443906 0.00065200205 0.0011341338 0.00094552786 0.0015263342 0.0005733121 0.0011853446 0.0005945459 0.0005046146 0.00071945053 0.0009655126 0.00048088274 0.00046964132 0.0004234266 0.0009055584 0.003361183 0.00047089034 0.002575533 0.001437652 0.00082561944 0.000569565 0.00045715086 0.0010566929 0.00046214703 0.00051460695 0.0004921241 0.00085559656 0.00045465276 0.00074942765 0.0006644925 0.0013377283 0.0006919715 0.0017474154 0.00054208597 0.0008868227 0.000676983 0.00071945053 0.0015950318 0.0031813204 0.0025592954 0.004696413 0.00083186466 0.0010104782 0.00048462985 0.0008618418 0.0007219486 0.012114498 0.0011603638 0.002309486 0.010450768 0.0044003893 0.0010691835 0.0035922565 0.0034011523 0.0018885576 0.0017823887 0.0009929916 0.0013152455 0.0016987026 0.00090181123 0.0010017349 0.0009517731 0.002902783 0.0011616128 0.0030039558 0.0013664564 0.0018311015 0.0007756576 0.0016200127 0.0008843246 0.0034011523 0.00066074537 0.0010966624 0.0018048715 0.0015113457 0.00072569575 0.00056831597 0.00085060037 0.0024631189 0.0006644925 0.0008868227 0.0010004858 0.0024568737 0.0024556245 0.0005558255 0.0007007148 0.027881205 0.0060853525 0.0011041567 0.0059579494 0.006597461 0.0010529459 0.0006869753 0.0007619181 0.007314414 0.0009867464 0.0018348487 0.00092804123 0.009227952 0.0021920758 0.0041368403 0.0026192495 0.010167235 0.0030838947 0.0031038795 0.0036484634 0.015036017 0.004035668 0.004344182 0.06961558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017941206 0.0 0.0 0.0005227113 0.00024727063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00880972 0.0 0.0 0.0038605519 0.002714343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006297576 0.0 0.0 0.00037497497 0.0002773187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005565154 3.7560096e-06 1.8154047e-05 6.7608176e-05 0.00015024039 7.63722e-05 6.260016e-06 7.5120192e-06 1.5650041e-05 0.0 0.0 1.8780048e-06 8.138021e-06 3.130008e-06 5.008013e-06 0.00036182892 0.006154222 0.00020783253 0.00021534455 0.00055588945 0.001928711 0.00049266324 0.0024702023 0.0010748447 0.0001965645 0.00010141226 9.327424e-05 7.57462e-05 0.00067795976 0.00038373898 0.00040439703 0.0029159156 0.013448392 0.00064728566 0.00095465244 0.0021008614 0.0041679186 0.0036427034 0.007031876 0.0032395583 0.00045823317 0.00023788061 0.0003136268 0.00033365886 0.0021021133 0.0011149088 0.0011324369 0.009073894 0.020966671 0.0013152293 0.0012451172 0.0020977315 0.007385567 0.0025853866 0.006754557 0.0032871345 0.0024144882 0.0009840745 0.0009859526 0.0013484075 0.0040965546 0.002674905 0.0026993188 0.009671724 0.020416416 0.001576898 0.0012632712 0.0022892877 0.009517728 0.0040827827 0.005942007 0.003440505 0.005867513 0.0014272836 0.0017959985 0.002327474 0.0038999899 0.0017897385 0.0040840344 0.009766251 0.07476275 0.009916492 0.007354267 0.010183168 0.04248798 0.030913211 0.021520058 0.0140938 0.051995695 0.0053448016 0.0061166617 0.009235402 0.016957758 0.007145182 0.02771935 0.06168933 0.060869265 0.010232622 0.009210988 0.011790114 0.028405448 0.030916966 0.017850436 0.014758614 0.050326146 0.0059451372 0.0065486026 0.00924354 0.021313477 0.011048928 0.02533804 0.049022187 0.0002360026 4.8202124e-05 8.7014225e-05 5.2584135e-05 9.1396236e-05 0.00010016026 4.3820113e-05 6.635617e-05 0.00013584235 2.9422075e-05 3.3804088e-05 2.9422075e-05 8.513622e-05 6.0722155e-05 7.386819e-05 0.00010829828 5347.0 15.062465 80539.0 0.0058108494 0.0001365798 0.0005959846 9.933076e-05 0.0035759073 0.0006084009 0.0001365798 0.00018624518 0.00042215572 0.00043457208 0.0007822297 0.00062081724 0.00053390284 0.015210022 0.0012043854 0.0004966538 0.022461168 0.017333217 0.023255814 0.012565341 0.018587269 0.014502291 0.01976682 0.011671364 0.02207626 0.014725785 0.0008815605 0.0005463192 0.0010181402 0.00057115185 0.00012416345 0.00014899614 0.0014527123 0.00910118 0.007896795 0.015483182 0.0076112193 0.017209055 0.005041036 0.003277915 0.005252114 0.018773513 0.0026198488 0.0042588064 0.007275978 0.0071145655 0.0047306274 0.009833745 0.013769726 0.0027936776 0.006382001 0.02184035 0.013943555 0.0066799936 0.006295087 0.0037249036 0.0029675064 0.0057115187 0.0016265411 0.0031910005 0.0012416345 0.0029799228 0.0031040863 0.02367797 0.0002731596 0.03250599 0.012590174 0.028147854 0.026533728 0.055885967 0.011236792 0.0104545625 0.018401023 0.036367476 0.0068662385 0.0068165734 0.024447784 0.012168018 0.03890041 0.03590807 0.018401023 0.002520518 0.040005464 0.029836476 0.042923305 0.011460287 0.010193819 0.005798433 0.013335154 0.007126982 0.001117471 0.00031040862 0.0005835682 0.0002731596 0.00032282496 0.00033524132 5.7790556 0.0 2.0 14.0 4.0 800611.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.571724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.15643539 0.010481926 0.0043074256 0.007380036 0.0061252774 0.0030335716 0.0021288893 0.0051573687 0.0070528737 0.0020796664 0.0020245027 0.0021416193 0.006059081 0.0020066807 0.00337601 0.0052235653 0.0035266492 0.0031443231 0.001114304 0.000872433 0.0014826269 0.0012390586 0.0011681946 0.0016273252 0.0026470025 0.00037765826 0.00064838404 0.00038656927 0.0011762569 0.0004133024 0.00035983618 0.0017304386 0.0024458675 0.00039802634 0.00037171756 0.0003335274 0.0026317264 0.003395954 0.0003458331 0.00038826664 0.0022434597 0.000398875 0.0003746879 0.0038376867 0.00072179403 0.00053635956 0.002803582 0.0015857402 0.001354902 0.00058430946 0.0005639414 0.0123324515 0.0022056939 0.00047440664 0.00049392605 0.00036110918 0.0019740069 0.00036450385 0.0004290028 0.0033501256 0.0023924015 0.0004604036 0.0023453 0.00045021955 0.0050440715 0.0017308629 0.0009971875 0.001606957 0.0018080919 0.020202171 0.0013943652 0.0014851729 0.0016515122 0.0015607045 0.0006415947 0.00042136476 0.0015467014 0.0045751813 0.0006140129 0.0010010066 0.038726095 0.0023011693 0.00265167 0.0028154633 0.0022073912 0.0042666895 0.0015174224 0.0012169931 0.0019510929 0.0005885528 0.00070015294 0.0006390487 0.00076422753 0.0033081165 0.0019048403 0.0015305767 0.0011631026 0.005796842 0.0017580204 0.00279849 0.0030068385 0.020368934 0.0015840429 0.0012433019 0.009395628 0.0067600827 0.00063522963 0.00090722844 0.0039424975 0.001667637 0.0048323283 0.007059663 0.003732876 0.00063268363 0.006059081 0.0028438938 0.009292515 0.011600473 0.0011376424 0.0010633838 0.0022714657 0.0009118962 0.0006360783 0.0003360734 0.0009144422 0.00069633394 0.00039123697 0.00033310306 0.0013731484 0.0064155227 0.0006912419 0.0022430355 0.0026924063 0.009488133 0.00036110918 0.00029406423 0.009701998 0.041297566 0.0024136181 0.034552336 0.0010273153 0.0015764049 0.00034031676 0.00043918684 0.0012912517 0.0003322544 0.00033140572 0.00027454481 0.001510633 0.0012399072 0.00029279123 0.00039929934 0.0024989094 0.00028430452 0.0023206887 0.00045870626 0.0010884196 0.00323895 0.0015560369 0.00075149746 0.0017928159 0.0003106133 0.0002660581 0.0005741254 0.00094838894 0.009705393 0.001680367 0.0004133024 0.0039149155 0.00038869097 0.00027030148 0.0025379483 0.001516998 0.00024271969 0.00042688113 0.0014885676 0.0017868752 0.00040269402 0.0015789509 0.0002719988 0.0011181231 0.0025197018 0.00036577685 0.0004714363 0.0022752848 0.003107406 0.0020843341 0.008316119 0.0010315586 0.0010803572 0.0026546405 0.0014401934 0.01119396 0.0024165884 0.00057497405 0.0020974884 0.0043434943 0.003383648 0.00038232593 0.00036153352 0.0030085358 0.0021004588 0.0005219322 0.00027793949 0.0014189766 0.00027751515 0.00034837914 0.00041287806 0.0041805496 0.00049647206 0.0014754132 0.00066663045 0.0027229583 0.001353629 0.0003543198 0.00043706517 0.0051998026 0.0005796418 0.0003903883 0.00063438097 0.0030255094 0.0048115356 0.00055842503 0.00034837914 0.007926156 0.0005770957 0.0004425815 0.00037171756 0.0024912714 0.00036662552 0.0013370799 0.00032037302 0.021187901 0.0029359746 0.00038359893 0.00048416635 0.0060370155 0.00049392605 0.0011482508 0.0005397543 0.0056606303 0.00044979522 0.0004340948 0.0006683278 0.0009594217 0.0005380569 0.00085036753 0.0005537573 0.007193753 0.0014287363 0.0010328316 0.0027115014 0.002991987 0.004000207 0.006385395 0.13795984 0.006940387 5.9442937e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.245924e-07 0.0 0.0 9.765625e-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 0.0018259595 0.00030358357 3.184443e-05 1.167629e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.491848e-07 0.0013262143 4.5643683e-05 0.0 0.0 5.4347827e-05 0.0 0.0003129246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020282778 5.477242e-05 0.0018917714 0.0001953125 6.920856e-05 0.0007857082 0.00044985564 0.00018873131 0.0038039233 0.0011062755 0.0018497368 0.0011427904 2.844769e-05 0.0015792714 0.0010769786 0.05374894 0.0009723166 7.2180706e-06 0.00058890966 1.507303e-05 2.0380436e-05 3.7151833e-05 5.5621604e-05 2.122962e-05 0.00010105299 6.0079823e-05 0.0011863111 5.965523e-05 5.095109e-06 0.00012737772 7.4303666e-06 0.0010829229 0.0017478346 5.7319972e-05 0.00089588994 0.00010402514 4.012398e-05 0.000110181725 0.0002910581 5.7319972e-05 0.0009912109 0.0011655061 0.002176036 0.00013247282 7.642663e-06 0.00018151324 1.4648437e-05 0.002461999 0.002195355 2.4414063e-05 0.0012015965 6.475034e-05 0.00017026156 0.00019467561 0.00085555366 0.0003350034 0.0011759086 0.0003965693 0.0017909307 0.0014066746 6.623641e-05 0.0013400136 4.8828124e-06 0.0026902175 0.0041297977 0.00016325577 0.0031184189 0.0026220703 0.004008789 0.0031347657 0.020445822 0.009508959 0.0003851053 0.0004683254 0.0004971977 0.00036345108 7.621433e-05 0.00010211447 7.876189e-05 0.0008969514 0.011735309 0.00059336785 0.003654042 0.002753057 0.0040743886 0.0036094598 0.017067978 0.008750849 0.0008381454 0.00045049252 0.00054326595 0.000642196 0.00021463145 0.00033818785 0.00035198708 0.0013391644 0.02305112 0.001842731 0.0015234374 0.0014336362 0.003357252 0.0023641305 0.0071034306 0.0040457286 0.0024034053 0.0010145635 0.0008366593 0.0024573284 0.0008846382 0.0012007473 0.0007659647 0.005715226 0.03429666 0.0024832287 0.0017563264 0.0021879247 0.0022753906 0.0032247792 0.0054377546 0.0031266983 0.00849949 0.002680664 0.0018648098 0.004986201 0.0016374405 0.0025091288 0.0019471807 0.008912407 0.038234968 0.004228728 0.002358186 0.003537916 0.003155146 0.008413298 0.004050399 0.002699346 0.021099482 0.0037829059 0.0034527853 0.008141135 0.0032871943 0.0035164743 0.005361965 0.028158331 0.07318635 0.007906547 0.0043909224 0.011373344 0.018387398 0.028373811 0.010561311 0.008633874 0.05224482 0.0041686483 0.007852624 0.0080335 0.016760997 0.011306259 0.026502632 0.05205609 0.023308849 0.0042077107 0.0013616678 0.0058542797 0.010648353 0.016827233 0.0061623217 0.0054318104 0.023427946 0.0025813095 0.0044420855 0.0031568445 0.010169412 0.0050473423 0.010957669 0.01684995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8719.0 28.062048 244673.0 0.006379944 0.00040870876 0.00028200904 0.00015530933 0.00028200904 0.029255373 8.991593e-05 0.0002288769 0.00065802113 0.00031470574 0.00018391895 0.017137159 0.00017165768 8.582884e-05 0.023357706 0.0004332313 0.0011525587 0.0017533606 0.0018964086 0.0015285708 0.014030972 0.0007520241 0.0013814357 0.00067845656 0.002370511 0.00069071783 0.0002942703 0.00034331536 0.015890596 0.0011116879 0.01602547 0.00038827333 0.00019209312 0.010246329 0.0059916703 0.012862065 0.0075938087 0.007736857 0.007181013 0.011268101 0.0026852165 0.0119629055 0.00045366673 0.0013936969 0.008247743 0.0064535113 0.0026484327 0.0059916703 0.008525665 0.0020108472 0.009110118 0.01855129 0.013017374 0.0061347187 0.008121043 0.0042669196 0.0008664626 0.0007642854 0.00037192498 5.7219226e-05 0.00012261263 7.356758e-05 3.678379e-05 0.010274938 0.0002288769 0.047520567 0.014084104 0.023570234 0.021469472 0.099733114 0.010646863 0.008999767 0.0077777277 0.061473887 0.0020558052 0.005591136 0.029594602 0.012706756 0.042697806 0.06404058 0.019009044 0.00044549257 0.05175479 0.022859082 0.07827181 0.017607173 0.007843121 0.0069684843 0.010393464 0.0059017544 0.0016021384 1.6348351e-05 9.80901e-05 2.4522526e-05 2.0435438e-05 6.5393404e-05 5.2776794 0.0 0.0 0.0 4.0 2356628.0 389120.0 1.0 0.0 70.0 1.0 1.0 0.0 0.0 0.0 1539919900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 1.0 5.0 1.0 43008.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 297984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5226607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.923542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.008482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.110649 0.0 3.502551 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22714.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42851.0 0.0 297904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 70212.0 297904.0 86016.0 0.0 0.0 0.0 0.0 3540.0 385024.0 112.0 68256.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68368.0 0.0 0.0 288.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.18187436 0.0023193308 0.001031914 0.00074274046 0.0009705142 0.0005565602 0.0005050635 0.00056250213 0.0007308566 0.0772767 0.020511521 0.0002693672 0.0006199407 0.020315437 0.00024163823 0.00042385721 0.00054665696 0.0002693672 0.00023569631 0.0001921222 0.00023767694 0.00034463158 0.00013666424 0.00021192861 0.00019014155 0.00017429642 0.00013270296 0.00013270296 0.0002020254 0.00014656744 0.00014656744 6.73418e-05 0.06004116 0.00021787053 0.022430763 0.00027134785 0.0051041124 0.00030898003 0.00010299334 0.00076452753 0.0030739552 0.0027669559 0.0007704694 0.00015250937 0.00078037265 0.009251575 0.0009764561 0.014811235 0.0025292789 0.0007704694 0.0002931349 0.004185095 0.00019014155 0.00017033514 0.00025352207 8.912885e-05 0.0001584513 0.00024758014 0.021307738 0.00013270296 0.016857237 0.012274033 0.018580396 5.5457953e-05 0.0013844682 0.0020875959 0.0006833212 0.007215476 0.007219437 0.0014636938 0.0018241706 0.0005585408 0.0005327925 0.006040956 0.00013270296 0.00028917362 0.0072293403 0.0012933587 0.0013210877 0.00088732725 0.0019727186 0.00032878644 0.0016894869 0.0033631288 0.00191528 0.0006001343 0.00058825046 0.0005981536 0.00025154144 0.0006753987 0.00023569631 0.00075660495 0.0009011917 0.00079027587 0.00017231579 0.005949846 9.309014e-05 0.038133286 0.008231545 0.0121274665 0.0063123037 0.047582924 0.009697219 0.0055279694 0.009108969 0.017417759 0.0009804174 0.00076452753 0.04522398 0.020065876 0.018651698 0.017734662 0.017409837 9.705142e-05 0.020561036 0.03064052 0.04169646 0.005179377 0.00460301 0.0041078497 0.017475197 0.001717216 0.00012081912 0.00011289655 0.0009071337 0.00047337325 8.912885e-05 3.7632184e-05 0.0005129861 9.11095e-05 4.3574106e-05 0.00092694006 0.00013864489 0.00019806412 4.555475e-05 7.724501e-05 0.000108935266 0.00028917362 6.536116e-05 0.0007447211 6.932244e-05 0.0002020254 3.169026e-05 5.3477313e-05 9.309014e-05 3.36709e-05 3.9612823e-05 2.5748335e-05 4.1593466e-05 5.7438596e-05 2.1787053e-05 2.5748335e-05 5.5457953e-05 0.0038820568 2.3767694e-05 2.5748335e-05 6.139988e-05 1.3864488e-05 5.9419235e-05 1.3864488e-05 9.705142e-05 8.1206286e-05 5.7438596e-05 5.5457953e-05 4.7535388e-05 4.951603e-05 1.3864488e-05 2.7728976e-05 5.5457953e-05 4.3574106e-05 3.7632184e-05 1.782577e-05 8.318693e-05 4.7535388e-05 2.3767694e-05 5.9419235e-05 6.536116e-05 4.951603e-05 4.7535388e-05 2.1787053e-05 4.555475e-05 1.782577e-05 1.584513e-05 1.1883847e-05 0.00010695463 3.565154e-05 6.536116e-05 2.5748335e-05 6.338052e-05 3.9612823e-05 2.5748335e-05 1.9806412e-05 0.0002455995 6.73418e-05 0.00020400605 9.903206e-05 0.00013270296 3.169026e-05 7.526437e-05 0.00011487719 5.7438596e-05 4.951603e-05 4.7535388e-05 2.3767694e-05 0.0044207913 3.36709e-05 1.9806412e-05 2.3767694e-05 6.536116e-05 3.36709e-05 5.7438596e-05 2.5748335e-05 7.526437e-05 2.5748335e-05 0.00010497399 0.0001247804 5.5457953e-05 1.3864488e-05 1.3864488e-05 2.7728976e-05 2.1787053e-05 1.3864488e-05 3.9612823e-06 1.584513e-05 3.9612823e-05 2.5748335e-05 4.3574106e-05 1.584513e-05 3.169026e-05 4.555475e-05 1.782577e-05 2.3767694e-05 0.00043376043 6.338052e-05 4.7535388e-05 0.00010299334 8.318693e-05 1.9806412e-05 9.903206e-06 7.922565e-06 0.00012874168 1.782577e-05 3.169026e-05 4.7535388e-05 6.932244e-05 6.338052e-05 7.328372e-05 4.3574106e-05 0.00011883847 5.5457953e-05 2.1787053e-05 3.169026e-05 9.309014e-05 2.1787053e-05 9.309014e-05 0.0061479104 0.12398275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.924415e-07 0.0019739664 5.954649e-06 3.969766e-06 5.954649e-06 4.9622076e-06 2.9773246e-06 9.924415e-07 2.9773246e-06 0.0 4.9622076e-06 0.0 4.9622076e-06 0.0 3.969766e-06 8.931974e-06 7.939532e-06 0.0037732627 2.3818597e-05 2.3818597e-05 2.3818597e-05 2.3818597e-05 1.5879064e-05 1.1909298e-05 1.7863948e-05 7.939532e-06 1.5879064e-05 1.7863948e-05 2.5803482e-05 1.3894182e-05 2.1833714e-05 1.7863948e-05 2.9773248e-05 0.0018221227 3.4735454e-05 1.984883e-06 5.954649e-06 2.9773246e-06 9.924415e-06 6.947091e-06 6.947091e-06 5.2599404e-05 1.984883e-06 1.984883e-06 2.9773246e-06 1.984883e-06 3.969766e-06 9.924415e-07 7.443312e-05 0.0016355437 4.9622076e-06 5.954649e-06 4.9622076e-06 9.3289505e-05 8.6342414e-05 9.924416e-05 0.00010122904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.924415e-07 0.007534616 0.00012207031 3.771278e-05 0.00015482088 0.0007681498 0.00051309227 0.00020841273 6.947091e-05 0.00012107787 0.00010420637 2.3818597e-05 1.6871507e-05 0.00012802496 2.2826156e-05 1.7863948e-05 0.00031956617 0.0030190072 7.840288e-05 0.0002074203 5.3591844e-05 6.351626e-05 6.351626e-05 0.0002074203 7.542556e-05 4.962208e-05 2.2826156e-05 1.1909298e-05 1.7863948e-05 1.0916857e-05 9.924415e-06 1.885639e-05 0.00015482088 0.0012981136 2.9773246e-06 1.3894182e-05 1.1909298e-05 0.00017764705 0.00015184356 0.00018657901 0.00018558657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.969766e-06 0.020256724 0.00032055864 0.010675694 0.00585739 0.0010976404 0.0010897008 0.023175495 0.011911283 0.00025902723 3.870522e-05 4.3667427e-05 2.8780805e-05 4.3667427e-05 3.771278e-05 2.8780805e-05 0.00033842257 0.11673197 0.0009477817 0.09777534 0.06144404 0.029848672 0.013642102 0.20989445 0.121178105 0.00055278995 4.2674987e-05 3.672034e-05 5.4584285e-05 5.061452e-05 2.7788365e-05 9.2297065e-05 0.00011909299 0.012118704 0.0006460795 0.011593702 0.0060251127 0.00641415 0.002919763 0.01904793 0.010018698 0.00042674987 0.0003126191 0.00010718369 8.931974e-05 0.00034239233 0.00013497206 9.527439e-05 0.0008455602 0.0040193885 0.00023223132 0.00045156092 0.0010569503 0.0003245284 0.00032155108 0.0014956094 0.0005637068 0.0003294906 0.0008723561 0.0001121459 8.336509e-05 0.0010132828 6.748603e-05 0.000103213926 0.0011482548 0.00743041 0.0003701807 0.00063218526 0.0031122968 0.00042575743 0.0004108708 0.0031510019 0.0003701807 0.00047140973 0.0030289316 0.00034338477 0.0002004732 0.0030348862 0.00019154123 0.0002600197 0.002989234 0.002953506 0.0005666841 0.0004892737 0.00037216558 0.0009696154 0.001579967 0.00032552084 0.0007711271 0.001332849 3.771278e-05 9.7259275e-05 0.00012504763 0.0010162601 0.00015680576 0.00036621094 0.0010351165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9095.0 35.376472 321749.0 0.09062965 0.00012742852 0.034906093 0.00015540064 0.007008569 0.00030769326 4.9728205e-05 0.0010380762 0.00431703 0.004161629 0.0010722644 4.351218e-05 0.0010629403 0.014455368 0.0014172539 0.023132939 0.0037824516 0.00081429933 0.0003605295 0.0011872608 0.00015229263 7.459231e-05 0.00034809744 6.837628e-05 8.0808335e-05 0.000245533 0.033333436 3.1080126e-05 0.026272032 0.019123603 0.029094107 2.4864103e-05 0.0010660484 0.003173281 0.000972808 0.011092498 0.010902909 0.0019021038 0.002675999 0.00081119133 0.0006682227 0.009379983 7.459231e-05 0.00034809744 0.011139118 0.0018834558 0.0019238599 0.0012960413 0.0023931698 0.00017094071 0.0010691563 0.004829852 0.0027505914 0.00068687083 0.0005407942 0.00044755384 0.00023620897 0.00081429933 9.324039e-06 0.0010753724 0.001209017 0.0010722644 2.175609e-05 0.009084721 2.7972115e-05 0.059717357 0.012798796 0.018850097 0.008593655 0.074486636 0.009961181 0.008596763 0.01402957 0.027114304 0.00013675255 0.0010287522 0.070766345 0.031254176 0.029047487 0.02769861 0.027170248 9.945641e-05 0.0319224 0.047428276 0.06307712 0.00774206 0.0071328892 0.0063900743 0.02727592 0.0026169468 9.63484e-05 0.00015229263 3.418814e-05 0.00014918462 0.0 3.1080128e-06 5.080113 73.0 9.0 0.0 1.0 504887.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.056632806 0.008292169 0.006169978 0.0056495187 0.0057550594 0.004969714 0.0041926466 0.0054187784 0.005047317 0.005631929 0.0037425475 0.004459602 0.0049541933 0.0031765609 0.0043281936 0.004637572 0.005047317 0.003759103 0.004930395 0.0041564316 0.0043550963 0.0031744915 0.004104696 0.0038501574 0.005070081 0.0033493575 0.0031610404 0.0029292651 0.0041502235 0.003443516 0.0037891094 0.00378704 0.006166874 0.0038201509 0.0034849045 0.0030244584 0.004880729 0.0041605704 0.003840845 0.0037239227 0.004729661 0.00389465 0.0033338368 0.003101027 0.004366478 0.0037084022 0.0037311658 0.0035966532 0.0055150064 0.0039536282 0.0031093047 0.0028951196 0.003676326 0.0030782635 0.0026892123 0.002854766 0.004171952 0.0033100385 0.0035304318 0.0033462534 0.0039929473 0.0032293312 0.0035097376 0.0034528286 0.0065900707 0.0039556976 0.0036183822 0.0032251922 0.0041574663 0.0032210534 0.003548022 0.0030668816 0.0050090333 0.0037777277 0.0037094369 0.003580098 0.0041305637 0.003133103 0.0035500913 0.0034631756 0.0051652743 0.0036359723 0.003651493 0.0033359064 0.003923622 0.0033824684 0.0033597047 0.0035345708 0.0046499884 0.0036494236 0.0038077342 0.0035138766 0.0041109044 0.0033969542 0.0036887426 0.0037891094 0.005912335 0.0036318335 0.0033452187 0.0029499594 0.0040074335 0.0030544652 0.0032541642 0.0030358403 0.0049541933 0.003172422 0.0032096717 0.0030544652 0.0035821674 0.002837176 0.003093784 0.0031900122 0.004508233 0.0032758932 0.0032251922 0.0031413808 0.003890511 0.0033524616 0.0032893443 0.0036349376 0.004619982 0.0032914137 0.003479731 0.0031755262 0.004036405 0.0032024286 0.003476627 0.0033421146 0.008637763 0.0045930794 0.004015711 0.0035345708 0.004384068 0.0034321344 0.0030234237 0.0033979889 0.0045330664 0.0038294632 0.0029561676 0.0031982898 0.0037280614 0.0027988916 0.0028516618 0.002987209 0.005237704 0.0032034633 0.0034921477 0.0030306668 0.0036608053 0.0031858734 0.0033090038 0.0032665806 0.0045434134 0.0028433842 0.0030420485 0.0027078371 0.003515946 0.003230366 0.0029923825 0.003157936 0.005007998 0.0034093708 0.0032758932 0.0027947528 0.0037818665 0.0030285972 0.0030668816 0.0031951857 0.004134703 0.0029985907 0.0031268948 0.003012042 0.0036349376 0.0028444189 0.0029137444 0.0030410138 0.0046655093 0.0031165476 0.0038439492 0.002858905 0.0035676814 0.0031434502 0.002997556 0.0031258601 0.0042557637 0.0031527625 0.0033317674 0.0031734568 0.0036535624 0.003183804 0.003326594 0.0033617741 0.0067080273 0.004059169 0.0037239227 0.0033348715 0.0041109044 0.0032510601 0.0033027956 0.00323347 0.004337506 0.003329698 0.003119652 0.0030824023 0.0036463195 0.002990313 0.0030751594 0.0027968222 0.004261972 0.0032769279 0.0030927493 0.0030016948 0.0037135757 0.0030110073 0.0029323692 0.0029416815 0.003979496 0.00310827 0.0027306008 0.002637477 0.0035304318 0.0029447859 0.0035718202 0.0028847726 0.004951089 0.0032376088 0.0033948848 0.0029820353 0.0038108383 0.003072055 0.003197255 0.002901328 0.004442012 0.0054549933 0.0034724881 0.0031413808 0.0037880747 0.003061708 0.0032386435 0.0031817344 0.0046086 0.0033121079 0.003430065 0.0030410138 0.0037466863 0.003083437 0.0033121079 0.0032427823 0.004344749 0.0030317015 0.0031920816 0.0028609743 0.0040136417 0.0031030965 0.0042143753 0.0045113373 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09914805 0.062010683 0.06243106 0.055313144 0.060609594 0.059573423 0.054955486 0.054501414 0.06049245 0.053195704 0.05217456 0.05297437 0.05642292 0.05054229 0.056627147 0.05382601 4026.0 5.7039247 22964.0 0.01715729 0.010451141 0.009362481 0.008622191 0.01349939 0.012497823 0.011713987 0.011496255 0.012628462 0.009710852 0.008491552 0.008578645 0.013847762 0.010494688 0.011844627 0.009928584 0.016852465 0.0118881725 0.0087092845 0.0074899844 0.009797945 0.008578645 0.007881902 0.008448006 0.010233409 0.008491552 0.009536666 0.008796377 0.011496255 0.008970562 0.009667305 0.009231841 0.01811531 0.010886605 0.010407594 0.009144749 0.010843059 0.008970562 0.01071242 0.008317366 0.014196133 0.011583348 0.009754398 0.008970562 0.011409163 0.009362481 0.011626895 0.009580213 0.014762237 0.0096237585 0.009928584 0.009057655 0.0121059045 0.009406026 0.009580213 0.009797945 0.013717122 0.009188294 0.010538233 0.009580213 0.011104337 0.009797945 0.010451141 0.010668873 0.017941125 0.0109736975 0.009667305 0.008143181 0.013107473 0.008273819 0.009362481 0.008317366 0.015415433 0.009275388 0.00888347 0.0087092845 0.011409163 0.008012542 0.009928584 0.007881902 0.013151019 0.008012542 0.008665738 0.008796377 0.011452708 0.009406026 0.008143181 0.007925449 0.010930152 0.0089270165 0.011844627 0.008622191 0.011278523 0.009144749 0.0100592235 0.00875283 6.554641 0.0 0.0 0.0 14.0 966454.0 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