Input: 0.06769021 0.0060824296 0.0041540884 0.004571416 0.0051926104 0.004277208 0.0042748093 0.0035153052 0.0053085345 0.0031539411 0.0031619358 0.0033977819 0.005358902 0.0045106555 0.0030588033 0.009454628 0.010322061 0.007920429 0.002814163 0.0027685927 0.0036416228 0.0046225823 0.0028333503 0.0026526684 0.003918242 0.0028581342 0.0027382125 0.0028221577 0.0034089747 0.0033386205 0.0028741239 0.0029140976 0.0041540884 0.002870926 0.0028101655 0.0030060376 0.0042716116 0.0035304953 0.0027949754 0.0028669285 0.0034105736 0.002737413 0.002921293 0.0034201674 0.003249079 0.0030564049 0.0027462072 0.002702236 0.0035760656 0.0029037045 0.0028237565 0.004555426 0.0033402196 0.0033034435 0.0028621317 0.0027861812 0.0033721987 0.0033018445 0.0028117644 0.0033306258 0.0032578732 0.00360005 0.0028261552 0.0028413453 0.0045826086 0.004083734 0.0039893957 0.0038902604 0.004414718 0.005697081 0.004658559 0.0050487043 0.0038135105 0.0031011757 0.0028989075 0.0030252251 0.0034761308 0.0035872583 0.0029284882 0.0030364178 0.0044339057 0.0031187641 0.00425882 0.0038103126 0.0037199715 0.003742357 0.0033698003 0.003270665 0.0032610712 0.0031763264 0.0027286187 0.0029069025 0.003305842 0.0034393547 0.0030755922 0.003010035 0.0034889225 0.0031195635 0.0026894442 0.003028423 0.0035225004 0.0035904562 0.003802318 0.0029340847 0.015649784 0.0051022694 0.0033498132 0.002723822 0.0034913209 0.0032147015 0.0033402196 0.0035089094 0.0037047814 0.0029228919 0.0033737975 0.0035640735 0.004285203 0.0041109165 0.0027661943 0.002814163 0.0034257637 0.0029236914 0.0029988424 0.0028637305 0.0032770608 0.0032954488 0.0031763264 0.0029013061 0.005426058 0.003720771 0.0029572695 0.0054404484 0.0052981414 0.0070186183 0.0030659984 0.0028285536 0.0040613487 0.0059776977 0.0030580037 0.010828132 0.0031835218 0.005372493 0.0028837174 0.0028349494 0.003376196 0.0028117644 0.0026550668 0.002775788 0.0032067066 0.0030979777 0.0026598636 0.0027869807 0.0033034435 0.002677452 0.0027861812 0.0029268893 0.0032075061 0.0029148972 0.0027965745 0.002886116 0.0037319637 0.0042804056 0.0029676626 0.00458021 0.0032059073 0.0026574652 0.0027326162 0.0027829832 0.0034929197 0.0027829832 0.0027829832 0.0028397462 0.0032266937 0.00286453 0.0027853816 0.0029252903 0.0036368258 0.0028509388 0.002760598 0.002795775 0.0032554748 0.003066798 0.0037287658 0.00310997 0.006166375 0.0032059073 0.002946077 0.0027901786 0.003235488 0.003053207 0.0031379515 0.0029476758 0.0049191886 0.0047648894 0.003305842 0.0050543007 0.0035240995 0.0028181602 0.0037831303 0.006524541 0.003961414 0.003083587 0.002973259 0.0028453425 0.0045666187 0.0025903091 0.0029516732 0.0030372173 0.0037303648 0.0030292226 0.0029372824 0.002899707 0.0032298914 0.0026622622 0.0027997724 0.002777387 0.0035712686 0.0029116992 0.0027677931 0.0028341499 0.003541688 0.0030524074 0.0028989075 0.0027805849 0.004118112 0.002913298 0.002878121 0.0029053034 0.0036600106 0.0029444778 0.0028117644 0.0027382125 0.005310933 0.0049063973 0.0028381473 0.0030971782 0.003809513 0.0027733895 0.0029260898 0.0029524725 0.004206854 0.0028181602 0.0027693922 0.003192316 0.0036903908 0.0031315556 0.003364204 0.003053207 0.00409013 0.003173928 0.003198712 0.0036024484 0.0040357653 0.0036176385 0.003912646 0.02380446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030249425 0.000118068005 0.00022853163 0.0001849065 0.00048027665 0.00017730212 0.00073202164 0.0005251025 0.0006259605 8.324795e-05 0.00010766201 0.0001324763 0.00019371157 0.00020491803 0.00045826397 0.0009193295 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.00550397 0.0007588371 0.0005311059 0.00078125 0.0013139568 0.0012207031 0.0008741035 0.0011174437 0.0028024141 0.0003369941 0.00031137935 0.00055391906 0.0014024078 0.00049828703 0.0014032082 0.0027211674 0.042942736 0.014004867 0.006995229 0.0075419443 0.012716125 0.009748015 0.01364546 0.007040055 0.019580077 0.0054523405 0.0075235334 0.008379227 0.012110576 0.005911405 0.008296779 0.018111633 0.06543769 0.0468738 0.0413182 0.042107455 0.045421362 0.042109855 0.04668609 0.040789094 0.049828302 0.040427685 0.042038616 0.04281546 0.04576756 0.041165713 0.042341188 0.047822747 4520.0 7.0504427 31868.0 0.018827664 0.007562445 0.008284172 0.0075310655 0.007562445 0.0072172713 0.0062445085 0.009037279 0.007719342 0.0070289946 0.0072172713 0.0071858917 0.007060374 0.006934856 0.00787624 0.0076565836 0.008723484 0.008190034 0.0069662356 0.007060374 0.007719342 0.0077507216 0.007405548 0.006558303 0.0071231327 0.008503828 0.008472449 0.0067152004 0.0072172713 0.007154512 0.006777959 0.008158655 0.008723484 0.009853144 0.008692105 0.009351073 0.009100038 0.008346931 0.010951425 0.009319694 0.0089431405 0.008786243 0.007468307 0.0071858917 0.009602109 0.007813481 0.00837831 0.00784486 0.010920045 0.008001757 0.007782101 0.011045563 0.010135559 0.00837831 0.009162797 0.011076942 0.008284172 0.007468307 0.008660725 0.0067465794 0.009445212 0.006370026 0.008284172 0.011139701 0.008597966 0.018451111 0.009256935 0.01568972 0.014842475 0.03360738 0.008849002 0.010888666 0.023346303 0.027049078 0.009037279 0.007782101 0.016066274 0.01675662 0.021118363 0.027111836 0.013838333 0.012457638 0.022812853 0.02569976 0.024978034 0.012645914 0.00784486 0.0076565836 0.010041421 0.010323836 0.0076879626 0.008033137 0.009037279 0.007938999 0.008629346 0.0072172713 6.4383945 0.0 2.0 0.0 16.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9939275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.24099243 0.010267158 0.005080655 0.005758076 0.007282273 0.003619967 0.002286295 0.002603836 0.0089123165 0.0020957703 0.0021381092 0.0019052458 0.004847792 0.0024133113 0.0016300436 0.00702824 0.0050171474 0.0017993988 0.0011431475 0.0009526229 0.0032812566 0.007451628 0.0008679453 0.0007197595 0.0022651255 0.0010373004 0.0012066556 0.0012278251 0.0015241966 0.0013971803 0.0012278251 0.0009526229 0.004530251 0.0008256065 0.0020110928 0.0011854862 0.0040010163 0.0016300436 0.0009102841 0.0008044371 0.0017782294 0.0010584699 0.0008256065 0.0015030273 0.0019475846 0.0011643169 0.0020322623 0.0007832677 0.0020957703 0.0010161311 0.0012489945 0.0035564587 0.00175706 0.0024133113 0.002074601 0.0009526229 0.0018840764 0.0034294424 0.0011008086 0.0033447647 0.0017358906 0.0017147212 0.0010584699 0.0042762184 0.016025234 0.004043355 0.0076209833 0.002180448 0.0031542403 0.011770185 0.002603836 0.0018840764 0.0020957703 0.001862907 0.0011431475 0.0010584699 0.002074601 0.004847792 0.0014818578 0.0016088742 0.008637114 0.001862907 0.0015665354 0.0071552563 0.0018205682 0.0036411365 0.0063508195 0.0058427537 0.0014183497 0.0008679453 0.0009949617 0.001545366 0.0022651255 0.0029425463 0.0020957703 0.0020534315 0.0010373004 0.0045937593 0.0015877049 0.0030060546 0.0037469834 0.010711716 0.0030695626 0.0024556501 0.006774207 0.0055675516 0.007684491 0.0014818578 0.005165333 0.0024344807 0.004678437 0.0050171474 0.004890131 0.00351412 0.0075363056 0.0051865024 0.012955671 0.01405648 0.0019899234 0.006181464 0.0035776282 0.0029848851 0.0017993988 0.0017147212 0.0027520217 0.0051018246 0.0018417375 0.0026885134 0.005948601 0.0029425463 0.0015877049 0.0066683604 0.0027520217 0.0057369065 0.0012701638 0.0016935518 0.0043397266 0.007324612 0.0017147212 0.014225835 0.0018205682 0.004487912 0.001121978 0.0012278251 0.0022227867 0.0010373004 0.0015030273 0.0016300436 0.002561497 0.0012066556 0.0012489945 0.0010373004 0.001651213 0.0014606884 0.0010373004 0.0012278251 0.001439519 0.0010796393 0.0009949617 0.001545366 0.0015241966 0.0023498032 0.0013125027 0.00175706 0.0017358906 0.0011854862 0.0013760108 0.0015665354 0.0023709724 0.0011431475 0.0013125027 0.0012701638 0.0013760108 0.0009737923 0.0008256065 0.0013336721 0.0020110928 0.0007832677 0.001121978 0.0010161311 0.0017358906 0.0009737923 0.0016088742 0.0016723824 0.0029002074 0.0015030273 0.0013125027 0.0011431475 0.0014818578 0.0010373004 0.0023921418 0.0017993988 0.007959694 0.0034717813 0.0029848851 0.0020110928 0.0023286338 0.0011854862 0.0021169398 0.004255049 0.0033871036 0.0023286338 0.0014818578 0.0013548414 0.00175706 0.0013125027 0.0015030273 0.0013336721 0.0027096828 0.0012066556 0.001545366 0.0018205682 0.0020322623 0.0012278251 0.0024133113 0.0010796393 0.0029213768 0.0013548414 0.0009314535 0.001545366 0.0016300436 0.0013971803 0.0014183497 0.0012913332 0.003196579 0.0010796393 0.0017147212 0.0014183497 0.002603836 0.0009314535 0.0011431475 0.0009949617 0.012468775 0.003662306 0.0013760108 0.0044032345 0.0034506118 0.0012701638 0.0009737923 0.0012066556 0.005059486 0.0015665354 0.0017993988 0.0020110928 0.003302426 0.0012701638 0.003408273 0.0023074644 0.005440535 0.0016300436 0.0019899234 0.0022227867 0.004424404 0.0008256065 0.0025191584 0.04949405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027094183 0.00056423614 0.0016927083 0.0012803819 0.0010091146 0.0010525173 0.0037543403 0.001920573 0.000922309 0.0002061632 0.00036892362 0.00033637154 0.0007052951 0.0006076389 0.00064019096 0.0022894966 0.030750869 0.00034722223 0.002766927 0.000998264 0.008365885 0.0037434895 0.023925781 0.012532552 0.001421441 0.0009006076 0.0005967882 0.0005859375 0.000531684 0.00043402778 0.00027126737 0.00071614585 0.029709201 0.00071614585 0.0007595486 0.0007595486 0.0034288194 0.002094184 0.0092230905 0.010047743 0.0022460937 0.0012586806 0.0012912326 0.0010525173 0.0012803819 0.0010742188 0.00069444446 0.001030816 0.022309028 0.0011501736 0.0011067708 0.0011176215 0.002018229 0.001453993 0.001171875 0.003732639 0.003059896 0.0006184896 0.00091145834 0.00064019096 0.0013454861 0.00073784724 0.00083550345 0.002235243 0.025032552 0.0010199653 0.0009765625 0.0012586806 0.0026367188 0.001812066 0.003059896 0.0043077255 0.0035047743 0.0022569445 0.0021158855 0.0025173612 0.0029296875 0.0023328993 0.0028537326 0.008051216 0.09979384 0.013791232 0.0074761286 0.014149305 0.025694445 0.019628907 0.012771267 0.02406684 0.029730903 0.00734592 0.007910157 0.007606337 0.017003039 0.010666233 0.019249132 0.038671874 0.07209201 0.01405165 0.011664497 0.013964844 0.02298177 0.021690538 0.015375434 0.022949219 0.024576822 0.010015191 0.009895833 0.01140408 0.017176649 0.010557726 0.01751302 0.037424047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 305.0 14.078689 4294.0 0.02421984 0.00046576618 0.007918025 0.00023288309 0.002561714 0.0041918955 0.0013972985 0.00069864927 0.0013972985 0.0018630647 0.00069864927 0.00069864927 0.002561714 0.0016301817 0.010013973 0.00302748 0.004657662 0.0020959477 0.0053563113 0.0039590127 0.00302748 0.0016301817 0.002794597 0.00046576618 0.002561714 0.0016301817 0.0041918955 0.0018630647 0.0034932464 0.005589194 0.0032603634 0.0032603634 0.002794597 0.02421984 0.004657662 0.014904518 0.010945505 0.010945505 0.010712623 0.011178388 0.0039590127 0.009315324 0.0016301817 0.004890545 0.00908244 0.007685142 0.004890545 0.004657662 0.013972986 0.0020959477 0.007452259 0.017931998 0.007452259 0.004890545 0.0088495575 0.007685142 0.0013972985 0.0013972985 0.0020959477 0.00046576618 0.0032603634 0.00069864927 0.0011644155 0.002794597 0.00046576618 0.038658593 0.008383791 0.020493712 0.025850024 0.0992082 0.006986493 0.013740103 0.012342804 0.04517932 0.002794597 0.005589194 0.04075454 0.017000467 0.03935724 0.047042385 0.013507219 0.00023288309 0.04448067 0.03749418 0.060083836 0.018630648 0.005589194 0.03469958 0.010246856 0.011644155 0.0018630647 0.00046576618 0.00093153236 0.00023288309 0.00093153236 0.0016301817 5.5499067 0.0 0.0 0.0 1.0 47238.0 204800.0 0.0 0.0 154.0 0.0 1.0 0.0 0.0 0.0 1181339300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 22528.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.274686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8799434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.461204 0.0 5.964358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4474.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22524.0 0.0 16688.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29600.0 16688.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 648.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.13404202 0.013511848 0.0050681853 0.004838581 0.012659033 0.0033625558 0.002692629 0.003033556 0.0134889865 0.0023576654 0.0021906807 0.002203602 0.011543813 0.0018467716 0.0014372615 0.014833811 0.008601702 0.0016171676 0.0011619354 0.0014153944 0.005261013 0.0022652275 0.001240458 0.0009313375 0.004232268 0.001078443 0.0008150445 0.0009800413 0.0030842477 0.0006281807 0.0006798664 0.0014561466 0.0060054865 0.0013617207 0.0010466365 0.00095916825 0.017052323 0.0013478054 0.0005635735 0.0007305582 0.0026518765 0.0008359176 0.00096910784 0.0025385655 0.0026061547 0.0011867844 0.0008478451 0.000574507 0.0041189566 0.0015803912 0.0018895118 0.007025286 0.002574348 0.0015585242 0.0015615061 0.0015426208 0.0032522264 0.0030285863 0.001584367 0.0048316238 0.002962985 0.002092279 0.0015764154 0.002687659 0.0051586353 0.0039171837 0.0027880487 0.0026687738 0.008328363 0.013365736 0.0050900523 0.0037979088 0.0038466125 0.0017881282 0.0014511768 0.0009889869 0.004601026 0.013770277 0.0050473125 0.004856473 0.00878956 0.0044956664 0.0031160545 0.0029808762 0.004319736 0.007281727 0.004212389 0.003971851 0.0022006202 0.00215788 0.00051288167 0.0025663963 0.0019093909 0.005759979 0.0039420323 0.0035454438 0.0013130169 0.0026300095 0.00087865774 0.0014859653 0.0026270277 0.0040722406 0.004413168 0.00087666983 0.0036895673 0.002226463 0.0062589454 0.0007305582 0.0021757714 0.0011659112 0.0023616413 0.0024719704 0.0021270674 0.00079317746 0.003171716 0.0034311386 0.014400445 0.010500159 0.0014034669 0.0016231313 0.002091285 0.0013150048 0.00071366096 0.00067887246 0.00285365 0.002297034 0.0018775843 0.001993877 0.0045831343 0.001609216 0.000574507 0.017980678 0.0038436307 0.012982069 0.0012543735 0.0009084765 0.006130725 0.018977616 0.0023795324 0.05928952 0.001448195 0.010963343 0.00105757 0.0006848362 0.0012484096 0.00043137724 0.00041249205 0.0004780932 0.0009979326 0.0011182013 0.00046914758 0.0004274014 0.0010207936 0.00084486324 0.00027731393 0.00034987277 0.00095221057 0.0008289599 0.00047709924 0.00060034986 0.0012046755 0.0016638836 0.0003399332 0.00080311706 0.0010297392 0.00042640744 0.00057351304 0.0003468909 0.001126153 0.00044628658 0.00040354644 0.00053872453 0.0010068782 0.00043535305 0.00035683048 0.00035782444 0.0010516063 0.00044032282 0.0004114981 0.0004433047 0.0009899809 0.00062519877 0.0027681696 0.0017185512 0.0024302243 0.0010068782 0.0017394243 0.0005248092 0.00092537375 0.0009353133 0.0012613311 0.0011629293 0.008727934 0.0039609177 0.0026270277 0.005724197 0.008202131 0.0008866094 0.002802958 0.0063961116 0.0034997216 0.0031925892 0.0012663009 0.0013487993 0.021413805 0.0008587786 0.0024938374 0.0016350589 0.0030534351 0.0012026876 0.0022572759 0.0008756759 0.0011470261 0.00037770357 0.00095916825 0.0008170324 0.0019431855 0.0008070929 0.0006868241 0.0015456027 0.0011847964 0.0005824586 0.00042839535 0.00047610528 0.0020823395 0.00085380883 0.00056158553 0.0004780932 0.0029132871 0.0035066793 0.00050294213 0.0005953801 0.018762922 0.00285365 0.0005148696 0.0058216047 0.0062350906 0.00037472168 0.00060631364 0.00069576973 0.0045175334 0.0009909748 0.0013289201 0.000826972 0.003014671 0.00049996027 0.003194577 0.0018557173 0.0059150364 0.0019451734 0.0014601224 0.0019620706 0.007911895 0.0031289759 0.004984693 0.047044966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000838689 3.6832633e-05 3.5339417e-05 1.4932149e-06 4.1810013e-05 1.69231e-05 1.4932149e-05 1.4932149e-05 1.4932149e-06 9.954765e-07 0.0 0.0 3.484168e-06 4.9773826e-07 0.0 1.1945719e-05 0.0016320838 4.4298708e-05 5.773764e-05 1.09502425e-05 9.904992e-05 1.990953e-05 5.3755735e-05 1.990953e-05 1.1447981e-05 4.9773826e-06 1.7918577e-05 4.9773826e-06 5.9728595e-06 1.1945719e-05 1.0452503e-05 3.3348464e-05 0.0027206375 6.420824e-05 9.3574796e-05 2.6380128e-05 0.00020606365 1.0452503e-05 0.0002926701 0.00013090517 1.3936672e-05 5.773764e-05 1.990953e-05 3.7828107e-05 2.9366558e-05 1.2941196e-05 9.457027e-06 0.00035140323 0.007832907 0.00013289612 0.000467874 0.00012045266 0.0010357933 0.00023294151 0.0018615412 0.0009153407 4.4298708e-05 0.00013886899 5.2760257e-05 0.000180679 0.00010751147 0.00016076946 0.00010303182 0.0008834854 0.0053929943 9.457027e-05 0.001040273 0.00019212697 0.0010114042 0.00048778352 0.004248694 0.0020407268 3.135751e-05 3.2850727e-05 3.3348464e-05 3.3348464e-05 7.266979e-05 0.00011945719 5.226252e-05 0.00040665217 0.008131551 0.00017022649 0.002243804 0.00052113197 0.0022413156 0.0010462458 0.0064113666 0.0034911362 0.00016923102 0.00021552067 0.00011398207 0.00013190064 0.00010253408 0.00017221745 0.00012543004 0.00019660662 0.010084177 0.00054552115 0.0011169247 0.00065701455 0.0025986915 0.0010472414 0.0033612265 0.001962582 0.00047036266 0.00042656172 0.00064556656 0.00024986462 0.00033995524 0.00024638046 0.00025782842 0.00045493277 0.010699879 0.0013896853 0.0016957943 0.01317563 0.0025957052 0.0017246631 0.0034418602 0.0022602296 0.0013493685 0.0010064268 0.0010472414 0.0010606803 0.0016629436 0.0010064268 0.001188599 0.0015857941 0.016549798 0.0019964282 0.0021855687 0.002525524 0.005907158 0.00376539 0.0015942557 0.0019695503 0.013215449 0.0012757032 0.0008391867 0.0015405 0.006012181 0.00087751256 0.0035214983 0.011657529 0.11815511 0.020408763 0.022002023 0.016829526 0.04637477 0.036438424 0.011811827 0.025113882 0.09282819 0.0049873376 0.005165528 0.010024946 0.047685318 0.009554086 0.029594522 0.0524651 0.046131875 0.010388793 0.010171779 0.009048384 0.019236092 0.016851924 0.0060863434 0.013167168 0.036513083 0.0025359765 0.0029500949 0.0049072015 0.01891953 0.0059858006 0.012365312 0.022253381 0.0006201819 0.00017918578 0.0001846609 0.00045592827 0.00020506817 0.00018366543 0.00019212697 0.00021004555 0.00021950257 0.00024190081 0.00017470613 0.00026131258 0.00018665186 0.00020357495 0.000180679 0.00037828108 3886.0 13.401698 52079.0 0.051133856 0.0015169262 0.005837286 0.0020161679 0.016033335 0.009235969 0.0014977246 0.0038211178 0.005818084 0.0023617966 0.002092974 0.0017857485 0.0055108587 0.0031874652 0.006547745 0.0022657886 0.017281437 0.009235969 0.0110409185 0.009831218 0.010234452 0.00925517 0.008851936 0.009043952 0.012538644 0.012922675 0.010292056 0.010618484 0.010100041 0.00902475 0.0068549705 0.008160679 0.010580081 0.008525509 0.0026882237 0.007162196 0.010637685 0.010272855 0.006432535 0.004397166 0.0069701797 0.005837286 0.0011712975 0.0016513374 0.009639202 0.004512375 0.0071237925 0.004550779 0.011770579 0.0036867068 0.0074886233 0.009389581 0.012327425 0.004397166 0.0058948905 0.007354212 0.004665988 0.003149062 0.001574531 0.0036675052 0.004954012 0.0025538125 0.004243553 0.01069529 0.004147545 0.03533094 0.008487106 0.019240001 0.02152499 0.060657848 0.010637685 0.008467904 0.012154611 0.03064575 0.004473972 0.004435569 0.024674052 0.013153095 0.031701837 0.03559976 0.013633134 0.0032066668 0.033948425 0.03231629 0.04856084 0.01730064 0.0051268265 0.0064517367 0.007834252 0.006816567 0.001996966 0.0008832735 0.004723593 0.0012097006 0.0015553294 0.0031874652 6.00665 0.0 6.0 3.0 5.0 1006080.0 1044480.0 1.0 0.0 127.0 1.0 1.0 0.0 1.0 0.0 1543304300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 848896.0 1024.0 4096.0 12.0 0.0 0.0 7.0 2.0 0.0 0.0 0.0 0.0 0.0 -27648.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 9216.0 117760.0 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 -8704.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 -833536.0 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 -6.6698227 0.0 0.0 0.0 0.0 0.0 0.0 -16.59418 5.8915243 9.796946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.403691 0.0 0.0 0.0 0.0 0.0 0.0 -3.793378 0.0 0.0 0.0 0.0 4.750985 0.0 0.0 0.0 -6.592811 0.0 4.3796372 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27328.0 0.0 0.0 0.0 0.0 0.0 0.0 -3611.0 8974.0 117230.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1524.0 0.0 0.0 0.0 0.0 0.0 0.0 -14900.0 0.0 0.0 0.0 0.0 662.0 0.0 0.0 0.0 -833265.0 0.0 976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 986756.0 976.0 1011712.0 0.0 0.0 0.0 0.0 27328.0 1015808.0 112.0 969424.0 0.0 0.0 0.0 0.0 24.0 969696.0 64.0 969536.0 0.0 0.0 512.0 872448.0 0.0 0.0 0.0 0.0


Input: 0.26856837 0.01965085 0.025284398 0.011512675 0.01798732 0.0074470085 0.024985319 0.011050445 0.010952773 0.0067595732 0.018806487 0.0046081496 0.0037518104 0.00409164 0.0047877845 0.0016829723 0.003190353 0.00791126 0.009090788 0.0053131594 0.0034110476 0.003387563 0.0052157985 0.0038236645 0.0025772604 0.0015605715 0.0017022578 0.0033732543 0.002998431 0.0019375721 0.0027447643 0.0026290512 0.026434686 0.00258457 0.0022859557 0.0014742533 0.0021854844 0.003187709 0.0019473705 0.00148654 0.012841353 0.0015479736 0.0072228923 0.002888628 0.0042519895 0.0035550669 0.0033363942 0.0012473373 0.0037886705 0.002134471 0.0016136066 0.0018070838 0.0014143748 0.0016703744 0.0011544869 0.0010395515 0.0016383356 0.0013462534 0.0016047416 0.00117455 0.0016940148 0.0014414367 0.0020591954 0.0010879207 0.002010204 0.0028523898 0.0014731645 0.0036822893 0.0024035352 0.0024851875 0.0020229572 0.001434749 0.0012806205 0.003581507 0.0016405131 0.0012496703 0.0016599541 0.0024631023 0.003636564 0.0018520316 0.003440909 0.00095447747 0.0027799136 0.004512966 0.002726723 0.001196324 0.002470879 0.0014000662 0.0012944625 0.0010073571 0.0009723632 0.0011311576 0.0010669244 0.0010826328 0.00083207665 0.0043232213 0.0010375297 0.013691627 0.0028228394 0.006768438 0.006943252 0.026075728 0.0033423041 0.0044087623 0.0036855552 0.01272082 0.001055882 0.0015431523 0.008455143 0.007145439 0.0134591125 0.025862187 0.00952129 0.00086598186 0.017495696 0.013242772 0.018966371 0.0059884638 0.0023789615 0.0017430062 0.00198843 0.0034407536 0.0013792254 0.0062041814 0.0009963146 0.0041330103 0.0022010372 0.00051713176 0.0029827226 0.002345523 0.0008090585 0.0017050573 0.00080345944 0.0007538459 0.0016770621 0.0005020455 0.00093876914 0.000902531 0.00084311917 0.0006995665 0.0010830994 0.0015610381 0.00082881056 0.00056379027 0.00064886425 0.0013621172 0.0005683006 0.0013719156 0.00055103697 0.0005334622 0.00054139417 0.00048898114 0.0005469932 0.00066270627 0.0009308372 0.0005496372 0.0007572675 0.0010565041 0.00062320207 0.00076271105 0.00086878135 0.00046409658 0.0019343061 0.00051713176 0.0008818457 0.00068712427 0.0005096664 0.000523975 0.0008784241 0.00052273076 0.0005096664 0.0009837168 0.0005840089 0.00045414278 0.0005525922 0.0006511972 0.00062133576 0.0004252145 0.0004592752 0.0010227545 0.0005738996 0.0005754549 0.00042863612 0.00048898114 0.00046098602 0.0011964795 0.00041463858 0.00048089365 0.0008980207 0.000540461 0.00042397028 0.00042879165 0.0006790368 0.0006140259 0.00064762007 0.001089476 0.000913418 0.00078308524 0.001031464 0.00055321434 0.0005339288 0.00076457736 0.00053890573 0.00055228116 0.0005196202 0.0005752994 0.00051433226 0.0006186918 0.0012852863 0.00057840993 0.0017436283 0.00058836374 0.0007676879 0.000795683 0.0005177539 0.00042863612 0.0005392168 0.00053906126 0.00039146486 0.00053688383 0.0014506129 0.0006770149 0.0018562308 0.00051417673 0.0006662834 0.0011009852 0.00040577346 0.00057949865 0.0006295788 0.00045352065 0.00061184855 0.00045243197 0.00056099077 0.0007987936 0.0006785702 0.00057840993 0.0005639458 0.0004558536 0.00041774914 0.00048462633 0.0005676785 0.0006381328 0.00044185604 0.0005135546 0.00071029796 0.00045072116 0.00050453393 0.0004345462 0.0005224197 0.00061215955 0.0004063956 0.00060547184 0.0005345509 0.00044792163 0.0013616506 0.0008085919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00041556018 7.5443263e-06 5.677689e-06 7.1554437e-06 7.23322e-06 4.199934e-06 6.222125e-07 1.944414e-06 6.2221247e-06 1.7888609e-06 1.7888609e-06 4.6665937e-07 7.777656e-07 3.888828e-07 1.6410855e-05 7.777656e-08 6.533231e-06 0.0 0.0 5.444359e-07 9.006526e-05 6.198792e-05 0.0 1.5555312e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016508853 3.8188293e-05 0.00022539648 0.00043088215 0.0004025715 0.00027921784 0.00025526268 6.0432387e-05 1.0422059e-05 8.477645e-06 5.2576954e-05 1.1199825e-05 1.1044272e-05 1.3999781e-05 2.9555093e-05 2.418851e-05 0.03117549 0.00056870223 0.002231954 0.0010712943 0.0026839913 0.0020111464 0.01078302 0.0050693206 0.0006341901 0.00045110405 0.0011001495 0.0004892923 0.00051075866 0.00036026104 0.00038569397 0.00036531652 0.069695346 0.00070068904 0.01946693 0.0017452283 0.01159143 0.00898926 0.06904575 0.03654985 0.00019304143 0.000117287054 0.00013167571 0.00011277601 0.0002464739 0.00020789675 0.0001121538 0.000113009344 0.052203238 0.0014677215 0.00772609 0.0024627948 0.0056485226 0.0037482858 0.023159916 0.012613025 0.0006547231 0.0005784243 0.00042660444 0.000757777 0.00074284396 0.0011226268 0.0004198379 0.00031662837 0.089580946 0.012110977 0.01374654 0.0064174216 0.005239885 0.005640745 0.01551339 0.011723805 0.0033429922 0.0027964562 0.0021506774 0.0020671454 0.002623559 0.0031252955 0.002038757 0.0021936102 0.15620917 0.035527322 0.028738517 0.01016213 0.0063256454 0.007307419 0.015528712 0.0183933 0.0106655 0.0054045375 0.005203952 0.0041740346 0.0045901393 0.0061182934 0.0043418766 0.0048201247 0.036120992 0.009009948 0.005231018 0.0036447651 0.0030552188 0.0024739169 0.0038854058 0.0047884695 0.0030806519 0.002222932 0.0017735389 0.0014636772 0.0019201477 0.0018126605 0.001654463 0.0013282681 0.0030567744 0.00076189917 0.00057912426 0.0004234934 0.0004025715 0.0003202061 0.00041361575 0.0007748101 0.00024779612 0.0002538627 0.0002700402 0.00019724136 0.00017250841 0.00025090718 0.000262807 0.00021380777 0.0016525186 0.00064157887 0.0004731148 0.00025767376 0.00024616282 0.00031203957 0.0003301615 0.0010196507 0.00013354236 9.084302e-05 0.00038009405 0.00013144239 7.606548e-05 0.00016441965 0.00014653103 0.00015633089 7.2721086e-05 1.8821927e-05 3.9354938e-05 2.7299573e-05 2.1388554e-05 2.512183e-05 9.480963e-05 5.6465782e-05 1.5399759e-05 1.446644e-05 1.4544217e-05 1.5555312e-05 1.7266397e-05 1.62553e-05 1.5399759e-05 1.2988686e-05 3.6321653e-05 1.8666375e-05 1.9755247e-05 2.0533013e-05 1.7499726e-05 2.1699661e-05 2.1699661e-05 2.0844118e-05 1.718862e-05 1.742195e-05 1.695529e-05 1.8666375e-05 1.8821927e-05 1.8744151e-05 1.6644184e-05 1.7110844e-05 36700.0 26.661772 978487.0 0.045807455 0.0002830901 0.0022279294 0.0010393597 0.0001389901 0.00014205606 0.00026367238 0.0017762117 0.00036280503 0.0003280575 0.00029433196 0.0004210582 0.0013255158 0.0008155448 0.0074676517 0.0009330732 0.004737927 0.0034594226 0.0021012032 0.0018405968 0.0014440662 0.0014655279 0.0011947016 0.0010301619 0.0010035902 0.0012539768 0.0016331336 0.00019111138 0.0036597317 0.0012161633 0.0036627979 0.00016658372 9.606668e-05 0.0076178834 0.0034492027 0.012443702 0.0062238947 0.007791621 0.0055841315 0.0033388282 0.0026234381 0.009696603 0.00071028026 0.0009698647 0.0033981034 0.007075209 0.0060869483 0.0049096206 0.010815677 0.00043127808 0.0077221263 0.01424955 0.008273998 0.0022912927 0.0036852814 0.002704175 0.0006438512 0.0004506958 0.0001389901 0.0003127277 0.00010730853 0.0003137497 3.7813483e-05 0.0214382 0.00026162842 0.055528585 0.009860121 0.02554454 0.027318707 0.11264636 0.010306729 0.017082496 0.012693066 0.049873937 0.0010771733 0.004743037 0.03177763 0.027694799 0.05485612 0.056020163 0.021578211 0.0008942377 0.053505056 0.042951006 0.07755443 0.021256287 0.007071121 0.005028171 0.0050373687 0.011950082 0.00092898525 0.0027184826 3.1681564e-05 0.0027133727 0.00014103406 3.576951e-05 5.1306133 0.0 81.0 6.0 5.0 6429696.0 6455296.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2794722800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 48.0 0.0 4.0 0.0 4.0 0.0 6427136.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6427136.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.894072 0.0 3.3607175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6426716.0 0.0 1288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 6432010.0 1288.0 6438912.0 0.0 0.0 0.0 0.0 12.0 6447104.0 56.0 6431808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.05339356 0.005115203 0.0038714262 0.0041857874 0.004254127 0.003662991 0.003553648 0.0037244966 0.004582156 0.0034067184 0.0033725488 0.0034921428 0.0038680092 0.0034989766 0.0031743646 0.0044762297 0.0039500166 0.003355464 0.0031606967 0.0033110434 0.0034716409 0.004230208 0.0032461209 0.003126527 0.0035092274 0.0032597887 0.003341796 0.0034306373 0.0033827997 0.003126527 0.0030206009 0.0036971609 0.0036971609 0.0032871244 0.0034443052 0.0032427039 0.0036493232 0.0033725488 0.0033930505 0.0030821064 0.0032871244 0.0030991912 0.0032597887 0.0035092274 0.003345213 0.003334962 0.0033657148 0.0032905415 0.0034135524 0.0034477222 0.003345213 0.0036971609 0.003232453 0.0036356554 0.003249538 0.0031948662 0.003252955 0.0038338397 0.0033725488 0.003997854 0.003457973 0.0036049027 0.00391243 0.0032563717 0.005596996 0.0033793827 0.0034067184 0.0043908055 0.0040320237 0.004913602 0.0036493232 0.003457973 0.0032734566 0.0034989766 0.0032768736 0.0034477222 0.003434054 0.003932932 0.0036151535 0.0040286067 0.0048760152 0.0034955596 0.003334962 0.0043190494 0.0034443052 0.0038475075 0.004346385 0.0043122154 0.0035023936 0.0035399802 0.0033281283 0.0033793827 0.0034443052 0.0036390724 0.0034853087 0.0036288213 0.0033144602 0.0036698251 0.003341796 0.0038645924 0.003577567 0.004896517 0.0039910204 0.0037176628 0.0042677945 0.0039568506 0.0045103994 0.0032837077 0.0040251897 0.0035399802 0.0039431825 0.0039910204 0.0036117367 0.0032768736 0.0041687028 0.004206289 0.0053099706 0.00560383 0.0033827997 0.00379967 0.003475058 0.0035331463 0.0032632058 0.003454556 0.0036254046 0.0039876034 0.0035160615 0.003454556 0.0040286067 0.0038714262 0.0036356554 0.0044352263 0.0035878178 0.0042712116 0.0033964675 0.0031914494 0.0032632058 0.004794008 0.0033964675 0.006253054 0.0032187852 0.0043156324 0.0035160615 0.0034818917 0.0034648068 0.003437471 0.003358881 0.0033178772 0.0033247112 0.0031948662 0.0033862167 0.003457973 0.0032632058 0.0033178772 0.0031914494 0.0031401948 0.0034033016 0.003341796 0.0034101354 0.0034716409 0.0032666228 0.003570733 0.003229036 0.0036049027 0.0033144602 0.0034682238 0.0034716409 0.003341796 0.003249538 0.0035399802 0.0033930505 0.0033862167 0.0033793827 0.0034169694 0.003358881 0.003553648 0.003454556 0.0034033016 0.0035399802 0.0034169694 0.0033281283 0.003229036 0.0035263123 0.0037484153 0.0034682238 0.00334863 0.0034921428 0.00334863 0.0033622978 0.003577567 0.0036664081 0.003673242 0.004691499 0.003662991 0.00379967 0.0037449985 0.0035365634 0.003567316 0.0038372567 0.0038748432 0.0037381644 0.0035946518 0.003434054 0.0035126444 0.0036322384 0.0036527403 0.0037244966 0.0037313306 0.0036219875 0.003331545 0.003659574 0.0035126444 0.0035844008 0.0033964675 0.0037518323 0.0036493232 0.0036698251 0.0036903268 0.0036561573 0.0036219875 0.0036903268 0.003478475 0.003457973 0.003662991 0.0037484153 0.00346139 0.0034989766 0.0035433972 0.003673242 0.003560482 0.003557065 0.0038782603 0.005480819 0.0038406735 0.0035433972 0.004131116 0.00391243 0.003454556 0.0036219875 0.003454556 0.004045692 0.0036698251 0.0037313306 0.003577567 0.0038680092 0.0034408881 0.0037586663 0.0037074117 0.0044762297 0.0035946518 0.0036698251 0.003902179 0.0040661935 0.0037723342 0.007151717 0.01513034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064937966 8.424571e-05 0.00031291263 0.00012722821 0.0006275446 0.00029228104 0.0010590889 0.0006189481 0.00020975462 1.54737e-05 0.00010315801 3.09474e-05 6.533341e-05 4.9859704e-05 6.877201e-05 0.00040403553 0.006213551 0.00013066681 0.00018224581 0.00014270192 0.0008579308 0.00070835167 0.002771512 0.0013771595 0.00042466715 0.00029056173 0.00014785981 0.00012207031 0.00015989492 0.00017021071 0.00017880721 0.00020631602 0.003780741 0.00011863171 0.00032838635 0.00037136883 0.00055877253 0.00046936894 0.0025634766 0.0013565278 0.00037136883 0.00023726342 4.9859704e-05 4.8140406e-05 8.0807105e-05 5.3298307e-05 4.4701803e-05 0.00013066681 0.005018637 0.00019771952 0.00022178973 0.00021663182 0.0005295444 0.00029571963 0.00022694762 0.00056736905 0.00064989546 0.00014785981 0.00019256162 0.00019256162 0.00034557935 0.00027164942 0.00028884242 0.0012000715 0.009304852 0.00048656194 0.0007461763 0.0009662467 0.0007221061 0.00056221115 0.0013685629 0.0012516505 0.0012894751 0.00089059747 0.0008338606 0.0009112291 0.0010109486 0.0009387379 0.00089059747 0.0024740729 0.015664544 0.0021233356 0.0012241417 0.001923897 0.0038443552 0.0029640736 0.0022299322 0.002692424 0.0052111987 0.0016935107 0.0019806337 0.002216178 0.004244952 0.003751513 0.00469197 0.010444748 0.015932756 0.003172109 0.002412178 0.0029107751 0.005598041 0.004685093 0.0029812665 0.0038409166 0.006186042 0.0014906332 0.002169757 0.0024482834 0.0039131274 0.0026356871 0.003889057 0.009677941 0.048231527 0.048379388 0.048260756 0.049312968 0.048697457 0.049985215 0.04869574 0.05004367 0.048429247 0.048759352 0.04914104 0.049622443 0.05002132 0.04960525 0.05038753 0.051159497 1469.0 7.4159293 10894.0 0.008353222 0.007251698 0.010739856 0.006517349 0.008261428 0.007527079 0.005783 0.006241968 0.0067009362 0.0055076187 0.007068111 0.0067009362 0.0061501744 0.008720396 0.009638333 0.007618873 0.008536809 0.0077106664 0.00881219 0.007894253 0.00881219 0.007986047 0.006517349 0.006517349 0.0066091428 0.0077106664 0.0066091428 0.0055076187 0.00780246 0.009087571 0.0102808885 0.006241968 0.0064255553 0.008903984 0.0077106664 0.012208555 0.016431063 0.012116762 0.0104644755 0.012483936 0.008169634 0.011657793 0.004956857 0.008720396 0.008995778 0.009913714 0.007618873 0.01257573 0.0102808885 0.0067927297 0.00881219 0.013585459 0.00881219 0.00780246 0.007618873 0.018909492 0.008536809 0.0067927297 0.0071599046 0.008077841 0.0071599046 0.007894253 0.007986047 0.0064255553 0.0074352855 0.021571508 0.011015237 0.01560492 0.01835873 0.04653938 0.010739856 0.011015237 0.008445015 0.023958143 0.0067927297 0.007251698 0.022581238 0.012024968 0.020194603 0.02212227 0.012116762 0.0055994126 0.022673031 0.021571508 0.030291904 0.015054158 0.009454746 0.013493666 0.011382412 0.011474206 0.0061501744 0.0058747935 0.006976317 0.0068845237 0.0051404443 0.0067927297 6.4002643 0.0 0.0 0.0 4.0 292657.0 319488.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1469408100.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 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 -25600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0395513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.503649 0.0 6.251542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25467.0 0.0 26688.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34320.0 26688.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.010013645 0.007304898 0.0066981125 0.0073149554 0.0074959854 0.005209643 0.007123868 0.0064735007 0.0077273017 0.0048710494 0.0057862573 0.005628694 0.0067551034 0.0045827427 0.0054007303 0.0060846214 0.0071775066 0.0046129143 0.004800649 0.0047134864 0.005652161 0.004445294 0.004891164 0.005514712 0.0055817603 0.0040094806 0.0041335197 0.0044754655 0.004907926 0.0038049838 0.0039524897 0.0050386703 0.0062488895 0.005045375 0.0042106253 0.0043145497 0.0051593566 0.003898851 0.0038921463 0.0049012215 0.0042475015 0.0037446404 0.0034596857 0.004720191 0.004053062 0.003536791 0.004059767 0.0042273873 0.005310215 0.003322237 0.003808336 0.004069824 0.0049213357 0.0035636104 0.0040664715 0.0047302484 0.005028613 0.0036541254 0.003315532 0.0049917363 0.0044855224 0.0030037581 0.0030406346 0.003848565 0.0058030193 0.004321255 0.0049448027 0.00567898 0.0045559234 0.0038452125 0.004297788 0.005259929 0.005769495 0.0037882216 0.0036876495 0.004019538 0.0041737487 0.0034764477 0.0033423514 0.004260911 0.0053001577 0.0030037581 0.0037781645 0.004636381 0.004086586 0.0037077637 0.004448646 0.0042106253 0.005162709 0.002732213 0.0037714597 0.0037614023 0.0040463572 0.0031076828 0.0030004056 0.0043279594 0.0050822515 0.004465408 0.0035502007 0.0040463572 0.0042307395 0.002986996 0.003553553 0.0036239536 0.0045559234 0.0038921463 0.0034831525 0.0036708873 0.004019538 0.003151264 0.0032149598 0.0040664715 0.005152652 0.002732213 0.0035837248 0.0035703152 0.0058868295 0.00513589 0.0033021225 0.003972604 0.004183806 0.0027992611 0.0024170866 0.0030339297 0.0038116884 0.0028126708 0.0027959088 0.0039658993 0.0061918986 0.0047570677 0.0039256704 0.0053403866 0.0045827427 0.0042273873 0.0036708873 0.0045726853 0.0045525706 0.0047972966 0.0027389177 0.0057393233 0.00357702 0.003996071 0.0027120984 0.0034429235 0.0059639346 0.0029400622 0.0033121796 0.004200568 0.0031814356 0.002896481 0.002618231 0.003684297 0.0028696617 0.0020550264 0.0024841346 0.0030406346 0.0026819268 0.0020751408 0.0028730142 0.0040228902 0.0037412879 0.0036407157 0.0022963998 0.0031847882 0.0038351554 0.0028327852 0.0027757944 0.0038217457 0.0033088273 0.002634993 0.0022528186 0.003372523 0.0035636104 0.0027523274 0.0024807823 0.003332294 0.0049783266 0.0029836437 0.0022360566 0.0029266526 0.0037144686 0.0027456225 0.0030406346 0.004143577 0.004562628 0.0024640202 0.0031210924 0.0034730951 0.0030842158 0.0022662282 0.002930005 0.0036641825 0.0055616456 0.0037815168 0.004183806 0.004783887 0.0037077637 0.0023064571 0.003905556 0.0042508543 0.0043715406 0.0036239536 0.0022025325 0.0027959088 0.0024606679 0.0021254271 0.0019477494 0.0037379356 0.004200568 0.0025880593 0.0036407157 0.0033524085 0.003463038 0.002158951 0.0030976254 0.003644068 0.004321255 0.0020851982 0.002946767 0.0033423514 0.0031814356 0.0023399813 0.0028126708 0.0042374446 0.005253224 0.0032216646 0.0026685172 0.0029735863 0.0043849503 0.0016963187 0.0018035958 0.0030674539 0.0037513452 0.00238021 0.0023198668 0.0057862573 0.0034932096 0.0024237914 0.0022762853 0.0037446404 0.0050520794 0.002527716 0.0025143065 0.0025511829 0.003553553 0.0017801289 0.002544478 0.0039457846 0.004200568 0.0018304151 0.0020215022 0.002732213 0.0029199477 0.001649385 0.00219918 0.0055649984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001655105 0.00013133082 0.00016668912 0.00013301455 0.00014480065 0.00012291217 0.00023235452 0.00016332166 8.755388e-05 8.587015e-05 5.724677e-05 9.765625e-05 9.597252e-05 8.4186424e-05 7.4084055e-05 0.00011617726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10158776 0.0777108 0.06963901 0.06509968 0.071236864 0.06304385 0.06140221 0.059087083 0.06885944 0.05088564 0.049777746 0.052286502 0.055754986 0.051375605 0.051229123 0.047575433 1916.0 5.7729645 11061.0 0.01482687 0.011300967 0.010577706 0.010668113 0.013561161 0.009221589 0.008227104 0.012024229 0.009673628 0.00876955 0.0088599585 0.01121056 0.010306482 0.0077750655 0.009854443 0.013109122 0.013651568 0.008227104 0.009131182 0.008950366 0.012295453 0.0064189495 0.009492813 0.012114637 0.013289938 0.008950366 0.00876955 0.013109122 0.010125667 0.006961396 0.006509357 0.010216074 0.014013199 0.010487298 0.011843414 0.015007685 0.011481782 0.01121056 0.008227104 0.013561161 0.015730947 0.010125667 0.009131182 0.00958322 0.01238586 0.009311997 0.0075038425 0.011933821 0.014646053 0.005876503 0.009040774 0.011933821 0.010577706 0.0083175115 0.010216074 0.011481782 0.012657084 0.005153241 0.0099448515 0.009131182 0.009221589 0.009402405 0.006961396 0.011481782 0.01319953 0.012205045 0.011481782 0.013561161 0.011481782 0.012657084 0.00876955 0.009673628 0.013380345 0.011481782 0.007955881 0.009854443 0.01121056 0.008588735 0.010125667 0.012295453 0.01319953 0.0059669106 0.011662599 0.0110297445 0.0175391 0.015640538 0.008950366 0.0110297445 0.010487298 0.008498328 0.0046107946 0.0067805806 0.009040774 0.006328542 0.0061477264 0.009402405 6.542608 0.0 0.0 0.0 4.0 298293.0 3592192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1277279700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 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 5.0 0.0 5.0 0.0 638976.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -637440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9338655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 0.0 0.0 0.0 0.0 2842624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 752.0 3589272.0 103576.0 3485696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3483920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.25171912 0.039831333 0.03335116 0.018600054 0.021226505 0.008504928 0.0172343 0.0046798596 0.005677911 0.0038059673 0.018499771 0.0029846043 0.0025739227 0.0029464012 0.0040065325 0.0014994652 0.004636881 0.0039110254 0.013772158 0.0056874617 0.0020343063 0.008691167 0.004269178 0.0035242205 0.004240526 0.0011938417 0.004464968 0.0029846043 0.0022205454 0.003567199 0.0039110254 0.001900596 0.012898265 0.0025070675 0.0021775672 0.0010983343 0.0017000305 0.007511652 0.002306502 0.0012129431 0.008428522 0.0011604141 0.00891561 0.0026264517 0.0015854217 0.0015806464 0.0029893797 0.0009311965 0.0052529033 0.0025070675 0.0024831907 0.0013609795 0.0017095814 0.0027028576 0.0018194148 0.001575871 0.0025691474 0.0028079157 0.0032997783 0.00075450796 0.0035767497 0.00079271087 0.0066138827 0.00072585576 0.0030371333 0.0043551344 0.0017000305 0.0050189104 0.00247364 0.004059062 0.002005654 0.0014469362 0.0034287134 0.0023256035 0.0009932762 0.000950298 0.0029272998 0.0033570828 0.002120263 0.002645553 0.0021966686 0.0013609795 0.0027171837 0.004861323 0.0034191627 0.0025213936 0.0021154874 0.0014039578 0.0010314792 0.0008929936 0.0015806464 0.0014182839 0.0012797983 0.0012081678 0.00074018183 0.008858305 0.0016570523 0.010782778 0.003137416 0.008361667 0.006002636 0.022238882 0.003046684 0.0039110254 0.0032329233 0.011360598 0.0008547907 0.0014087332 0.008705494 0.004197547 0.01217241 0.01769751 0.0069338325 0.00123682 0.013089281 0.017148342 0.014789311 0.00540094 0.0032615755 0.0015567696 0.0012702475 0.0030801115 0.0012511461 0.006303484 0.00071152963 0.0045939027 0.0023733573 0.0003438264 0.006914731 0.0028795463 0.0040304097 0.0033141046 0.0011317619 0.0011126605 0.0024211109 0.0008929936 0.0007067543 0.0017382335 0.00043455837 0.00044410912 0.0009789502 0.0009646241 0.0003581525 0.00043455837 0.0006876528 0.0012129431 0.0004727613 0.00051096425 0.0007354065 0.0010983343 0.00094074727 0.00076405867 0.00084046455 0.00056826865 0.00072585576 0.0003724786 0.00092642114 0.00066855137 0.0006207977 0.0003724786 0.0012511461 0.00055871793 0.00077360944 0.0009168704 0.00085956603 0.00062557304 0.000286522 0.0003295003 0.00049186277 0.0005921455 0.0005014135 0.0006494499 0.0011174359 0.00029129736 0.00045365983 0.00062557304 0.000611247 0.00053006574 0.00036770324 0.0003438264 0.00060647156 0.00063512375 0.0004966381 0.00046321057 0.0011269866 0.00065422524 0.00033905104 0.000611247 0.0014230593 0.001002827 0.0005157396 0.0003295003 0.00088821823 0.0005443918 0.00029129736 0.0006590006 0.0008834429 0.00046798596 0.0017191321 0.0005014135 0.00086911675 0.00060647156 0.0006446745 0.00031039884 0.00085001526 0.00055871793 0.0005061889 0.0003724786 0.0010744575 0.0005443918 0.00042500763 0.00082136306 0.0013705302 0.00063989917 0.0005443918 0.00046321057 0.0009646241 0.00069720356 0.00035337714 0.0006160223 0.0008452399 0.001055356 0.00037725398 0.00054916716 0.0011031097 0.0014039578 0.00039158008 0.0006016962 0.00086911675 0.00038202934 0.0023256035 0.0006590006 0.0008643414 0.0033284307 0.00053006574 0.0007449572 0.0007354065 0.00039158008 0.0002435437 0.00038202934 0.00062557304 0.0007783848 0.0004966381 0.00048231205 0.00076405867 0.00049186277 0.0002721959 0.00063989917 0.00123682 0.00040113082 0.0003724786 0.00041545692 0.0007497326 0.00037725398 0.002889097 0.00048231205 0.004865975 0.0 0.0 0.0 1.2026631e-05 0.0 2.8863917e-05 1.924261e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004216537 7.215979e-06 9.621305e-05 0.00012267164 4.3295873e-05 4.3295873e-05 0.0002549646 0.00014191425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003552667 0.0 6.013316e-05 7.697044e-05 0.00012026632 9.621305e-05 0.00068792334 0.00033193504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00046422798 0.0 0.0 1.2026631e-05 0.00026699124 0.00014431958 0.0026434537 0.0013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.087859355 0.0071967365 0.008295971 0.0026073738 0.009662196 0.007047606 0.049821526 0.027668469 0.001813616 0.0009693465 0.000574873 0.00037042025 0.0005724677 0.00049549725 0.000685518 0.0012555803 0.14944533 0.018780788 0.02096723 0.009784868 0.006513624 0.006056612 0.025443543 0.025037043 0.00489965 0.0018328587 0.0017005657 0.0014768704 0.0013950893 0.0026699123 0.001820832 0.002963362 0.07949603 0.019158425 0.010412658 0.0107421875 0.008178109 0.011218443 0.029166987 0.019266665 0.006987473 0.0022537909 0.0020397168 0.001746267 0.001474465 0.0019026131 0.0012195004 0.0016332166 0.020712266 0.0075503197 0.0025231873 0.0008683228 0.001407116 0.0020661755 0.002816637 0.002018069 0.003973599 0.00073362456 0.0005291718 0.0010054264 0.0007697044 0.0007721098 0.0008779441 0.0006374115 0.053645995 0.007790852 0.0050102947 0.0060109105 0.008057843 0.00390625 0.0031437615 0.0032471905 0.0053037447 0.003413158 0.0024197584 0.0026554803 0.003316945 0.002859933 0.004500366 0.0029441195 0.020394763 0.0056428956 0.006326008 0.0057174605 0.003256812 0.0034612645 0.003074007 0.002431785 0.00272764 0.0012435537 0.0014287638 0.0013806573 0.0015538408 0.0014768704 0.0029128501 0.001010237 0.0036585014 0.0022682229 0.0038653594 0.001156962 0.0011834205 0.0011256927 0.00065184344 0.0010727756 0.0011762045 0.0002838285 0.0006085476 0.00057968363 0.0006758967 0.00029344982 0.00082262163 0.00028142318 0.0064655175 0.0030307113 0.002167199 0.0035791255 0.0043752887 0.0026891548 0.0013397668 0.0009501039 0.002070986 0.0008659175 0.0010896128 0.00088997075 0.0009789679 0.00095250923 0.0022201163 0.00081781094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2397.0 15.790571 37850.0 0.026050199 0.0008190225 0.0014002642 0.0008454425 0.0008982827 0.0065257596 0.0013738441 0.0008454425 0.0008190225 0.0011096434 0.00068692205 0.0012945839 0.0011624835 0.0017701453 0.0097225895 0.00079260237 0.011043593 0.0057859975 0.0042007924 0.0021664465 0.002298547 0.0018758256 0.0014266843 0.0015323646 0.0017437253 0.0037252312 0.00031704095 0.00029062087 0.013579921 0.0008982827 0.014266843 0.00029062087 0.0008454425 0.011994716 0.0038573316 0.017595774 0.007027741 0.009669749 0.0048877145 0.0034346103 0.005310436 0.008612946 0.00039630118 0.001321004 0.0044121533 0.003989432 0.003645971 0.005970938 0.0054425364 0.00068692205 0.0074504623 0.01680317 0.010832232 0.0038573316 0.00338177 0.0028533686 0.0007661823 0.00047556142 0.00039630118 0.0003698811 0.00060766184 0.001003963 0.00060766184 0.044755615 0.00332893 0.043883752 0.011598415 0.030964334 0.022483487 0.09334214 0.011070013 0.01651255 0.01006605 0.0473712 0.0008454425 0.004940555 0.034980185 0.01653897 0.051968295 0.050277412 0.01677675 0.001003963 0.048745047 0.052206077 0.06494056 0.021083223 0.010515192 0.0038837516 0.0035931307 0.010990753 0.00042272126 5.2840158e-05 0.00021136063 0.00018494055 0.00018494055 0.00021136063 5.337105 0.0 0.0 0.0 2.0 209408.0 237568.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540512100.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 206336.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -206336.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0441804 0.0 4.20307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -206024.0 0.0 1546.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 214116.0 1546.0 221184.0 0.0 0.0 0.0 0.0 12.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 214208.0 0.0 0.0 72.0 8192.0