Input: 0.056864627 0.008317801 0.006181728 0.0056632943 0.005761994 0.0049630445 0.0041994196 0.00542122 0.005048238 0.005635243 0.0037454 0.0044674673 0.004952655 0.0031698241 0.004325132 0.00464201 0.0050461604 0.0037682569 0.004934993 0.0041589006 0.004354222 0.0031698241 0.0041038366 0.0038389051 0.0050762896 0.003344367 0.0031635903 0.0029329443 0.004155784 0.003438911 0.003782802 0.0037869578 0.0061754948 0.0038170873 0.0034846247 0.0030202158 0.0049017468 0.0041661733 0.0038399443 0.0037235823 0.0047282428 0.0038898136 0.0033308608 0.0030950198 0.0043687676 0.0037235823 0.0037225434 0.0035781297 0.0055188807 0.0039459164 0.0031043703 0.002901776 0.0036789076 0.003073202 0.0026835974 0.0028581403 0.004170329 0.0033121596 0.0035199488 0.0033526786 0.0040082536 0.0032196934 0.0035054036 0.003456573 0.006608735 0.0039490336 0.0036165707 0.0032176154 0.004151628 0.0032186545 0.0035438444 0.0030607346 0.005001486 0.0037765685 0.0037038422 0.0035833246 0.004128771 0.003129305 0.0035594287 0.0034659237 0.005169795 0.0036186487 0.003649817 0.0033329385 0.0039334493 0.0033786523 0.0033641069 0.0035324162 0.004648244 0.0036394275 0.00380462 0.0035043645 0.004109031 0.003381769 0.0036851412 0.003787997 0.0059136804 0.0036311161 0.0033402112 0.0029547622 0.004012409 0.0030482674 0.0032612514 0.0030295663 0.0049869404 0.0031604734 0.0031957976 0.0030493063 0.003571896 0.0028300886 0.0030835916 0.0031937198 0.0045090253 0.003288264 0.0032217712 0.0031396947 0.0038866966 0.003324627 0.0032924197 0.0036259212 0.004631621 0.0032944975 0.0034835858 0.0031635903 0.004037344 0.003192681 0.0034680015 0.003344367 0.008658575 0.0046014916 0.004013448 0.0035230657 0.0043677287 0.003437872 0.0030202158 0.0033900805 0.004540194 0.0038337104 0.002955801 0.003188525 0.003727738 0.0027937256 0.002841517 0.0029807359 0.0052383654 0.003207226 0.0035012478 0.0030170989 0.0036622845 0.0031791746 0.0033007313 0.003264368 0.0045453883 0.0028373613 0.0030378778 0.0027043764 0.003517871 0.0032269661 0.0029807359 0.003148006 0.005018109 0.0034087815 0.003267485 0.0027937256 0.0037734515 0.0030077484 0.0030534621 0.0031822913 0.0041370825 0.0030046317 0.0031189157 0.0030108653 0.003649817 0.0028342444 0.0029142434 0.0030306054 0.004667984 0.003108526 0.003843061 0.0028581403 0.0035656623 0.003150084 0.0029869694 0.0031189157 0.0042544836 0.0031428114 0.0033412501 0.0031760577 0.003649817 0.0031833304 0.0033329385 0.0033474837 0.0067292526 0.0040622787 0.0037204653 0.0033381332 0.0041204593 0.0032529398 0.0033007313 0.0032248881 0.0043313657 0.003326705 0.0031189157 0.0030804747 0.0036467002 0.0029828139 0.0030773578 0.0027937256 0.0042492887 0.0032737185 0.003092942 0.0029963201 0.003707998 0.0030212547 0.0029339832 0.0029422948 0.003977085 0.003108526 0.0027189215 0.002634767 0.003534494 0.0029422948 0.0035781297 0.0028851528 0.004955772 0.0032321608 0.0033963143 0.0029703465 0.003806698 0.0030659295 0.0032020314 0.0029080096 0.0044466886 0.005456544 0.0034669626 0.003130344 0.003785919 0.0030804747 0.003246706 0.003186447 0.0046191537 0.0033173542 0.0034139764 0.0030409948 0.0037412443 0.0030877474 0.0033131985 0.003248784 0.0043521444 0.0030285274 0.0031854082 0.002860218 0.004013448 0.0030898252 0.0042253933 0.0045298045 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045970273 0.00029515507 0.0002738123 0.0002654834 0.00031077175 0.00023997617 0.00033107342 0.00031389509 0.00032795008 0.00035397787 0.00032795008 0.00035397787 0.000523679 0.00015200226 0.00018740006 0.00074075075 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.0993517 0.062012758 0.062457833 0.055310607 0.060595285 0.05954845 0.05492071 0.05445325 0.060462024 0.053118546 0.052085243 0.05290928 0.056391798 0.05049859 0.056629173 0.053817652 4010.0 5.7044888 22875.0 0.017136613 0.010491803 0.009398907 0.008612022 0.013420765 0.0124153 0.011803279 0.011453552 0.012546448 0.009748634 0.008480874 0.008612022 0.01390164 0.01053552 0.011759562 0.0099672135 0.01674317 0.011934427 0.00874317 0.0075628418 0.009836066 0.008480874 0.007825136 0.008349727 0.010273224 0.008437159 0.009617486 0.008874317 0.011540984 0.008961748 0.009661202 0.009180328 0.01809836 0.010885246 0.010360655 0.00904918 0.010885246 0.008830601 0.010754098 0.008306011 0.014295082 0.011628415 0.009748634 0.008961748 0.011453552 0.009355191 0.011672131 0.009573771 0.014819672 0.009617486 0.0099672135 0.009005465 0.01210929 0.009442623 0.009573771 0.009792349 0.01368306 0.009224044 0.01053552 0.009530054 0.011147541 0.009836066 0.010404372 0.010710383 0.017967213 0.011016393 0.009704918 0.008174864 0.013114754 0.008262295 0.009398907 0.008393442 0.01547541 0.009311476 0.008918033 0.008699453 0.011366121 0.008 0.009923497 0.0078688525 0.013202186 0.008 0.008699453 0.008830601 0.011409836 0.009398907 0.008262295 0.007912569 0.010928961 0.008830601 0.01189071 0.008437159 0.011322404 0.008961748 0.010010929 0.00874317 6.5545053 0.0 0.0 0.0 14.0 962514.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06911058 0.0036978521 0.0033295208 0.0036833126 0.0032083592 0.0027915633 0.0028787996 0.002849721 0.0029611895 0.0029127249 0.002903032 0.0026897874 0.002903032 0.0029854218 0.002675248 0.0027334057 0.0029999611 0.0026510158 0.0025637795 0.00271402 0.0027382523 0.0027285593 0.0028545673 0.0026461694 0.003092044 0.0029611895 0.0025153148 0.002747945 0.0028787996 0.00271402 0.0026267834 0.0029854218 0.0031502016 0.0027188663 0.0027964097 0.0030532724 0.0030532724 0.0027527916 0.0025298542 0.0029369572 0.0029951148 0.0027527916 0.0029175712 0.002747945 0.0031065834 0.0028061026 0.0028254886 0.0027237127 0.00311143 0.0029224178 0.0029272642 0.0036300016 0.002820642 0.0027430987 0.002786717 0.0027334057 0.0027382523 0.0027382523 0.0026994804 0.0030532724 0.0028545673 0.002423232 0.0026704017 0.0026704017 0.0028884925 0.0027188663 0.0029611895 0.0027527916 0.0032132056 0.0028545673 0.0029127249 0.0027818703 0.00271402 0.0026558624 0.0027382523 0.002840028 0.0029514965 0.0028448743 0.0029805754 0.0027285593 0.0029466501 0.0027334057 0.002903032 0.0027237127 0.002849721 0.0026704017 0.0025104685 0.0027430987 0.0029272642 0.0028351815 0.0025637795 0.0027237127 0.0029175712 0.002966036 0.00302904 0.002747945 0.002966036 0.003019347 0.0029757288 0.0030145007 0.0031211227 0.0033295208 0.0029078785 0.00271402 0.0030435794 0.0029708825 0.0029272642 0.002840028 0.003184127 0.00302904 0.0029466501 0.0029369572 0.0029272642 0.0027091734 0.0032810562 0.0027915633 0.0029805754 0.0029175712 0.0028691066 0.002694634 0.0029951148 0.002903032 0.002777024 0.0025540865 0.0027091734 0.0029078785 0.0026170905 0.0027091734 0.0034119107 0.002840028 0.0027382523 0.002903032 0.003101737 0.0029611895 0.0028594139 0.0027188663 0.0029078785 0.0030678117 0.0028448743 0.0036542339 0.002903032 0.0028351815 0.0028109492 0.0027915633 0.0027237127 0.0028448743 0.002704327 0.0028157956 0.0027382523 0.0026267834 0.0026461694 0.0027964097 0.0029418038 0.0030775047 0.002665555 0.002840028 0.0027334057 0.002830335 0.0029466501 0.0028545673 0.002747945 0.0029127249 0.0029369572 0.0026413228 0.0027915633 0.0028254886 0.0028545673 0.002903032 0.0028157956 0.0027382523 0.0027188663 0.002893339 0.0029078785 0.0029175712 0.00271402 0.0026461694 0.0033198278 0.0028836462 0.0031986663 0.0032132056 0.0030338864 0.0026994804 0.0031356623 0.0029999611 0.17306238 0.0027382523 0.0028836462 0.0054619648 0.002849721 0.002786717 0.002767331 0.0030241935 0.003571844 0.0030968904 0.0030581187 0.0027964097 0.0031065834 0.0030629653 0.0032616702 0.002893339 0.0027818703 0.0029757288 0.0027430987 0.0029369572 0.0030968904 0.0029902684 0.0031259693 0.0030338864 0.0032665168 0.0030629653 0.0029369572 0.0030435794 0.003101737 0.0028836462 0.0028254886 0.0031356623 0.0029224178 0.0029951148 0.003174434 0.0029224178 0.0032568239 0.0030871977 0.0028691066 0.002777024 0.0036493875 0.0030968904 0.0028836462 0.0028836462 0.0031211227 0.002966036 0.002830335 0.0030484258 0.003227745 0.0033682925 0.0029999611 0.003814167 0.003164741 0.0028594139 0.0030241935 0.002966036 0.003373139 0.0029805754 0.0032132056 0.0032810562 0.002956343 0.0029272642 0.0033828318 0.003436143 0.0030629653 0.0029854218 0.0026364764 0.003101737 0.002903032 0.003101737 0.0029418038 0.016138725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032470704 1.4648437e-05 1.2207031e-05 1.7089844e-05 1.4648437e-05 7.3242186e-06 1.4648437e-05 2.1972657e-05 3.6621095e-05 0.00010253906 5.3710937e-05 0.00012451172 6.8359375e-05 3.173828e-05 0.00023193359 0.0010009765 0.0067163086 9.2773436e-05 9.033203e-05 0.0004711914 0.00010986328 0.00014648438 0.00016845703 9.033203e-05 0.00016357422 2.6855469e-05 4.8828126e-05 0.0009667969 0.00017333984 0.00014160156 0.00018066406 0.00041259767 0.009277344 0.00015380859 0.00018310547 0.00081787107 0.00024902343 0.00026123048 0.00048583985 0.00029296876 0.00030273438 8.056641e-05 4.1503907e-05 0.0013378906 0.0001953125 0.00024414062 0.00023193359 0.0008447266 0.009575196 5.859375e-05 6.591797e-05 7.5683594e-05 0.000100097655 0.00016601563 0.00018066406 0.00023193359 0.00036132813 0.0005273438 0.00033935547 0.0009814453 0.0005810547 0.0006274414 0.0012133789 0.0049145506 0.009279785 0.00014160156 0.0001928711 0.00012695312 0.00023925782 0.00029541017 0.00045166016 0.00041259767 0.0002685547 0.0003881836 0.0005517578 0.00081298826 0.0007495117 0.0011035156 0.0015551758 0.0034301758 0.014465332 0.00023925782 0.00030273438 0.00057861325 0.00030273438 0.0007617187 0.0008691406 0.0007568359 0.0008959961 0.00083496096 0.0008911133 0.0016699219 0.0015869141 0.0021044922 0.002902832 0.0058374023 0.011555176 0.0005541992 0.0006225586 0.00059082033 0.000847168 0.0010375977 0.0012353515 0.0010595703 0.0012182617 0.00083984376 0.0007568359 0.0015209961 0.0013916015 0.0018164063 0.0019140625 0.0030395507 0.0012036132 0.00012939452 0.00020507812 0.00011962891 0.00018066406 8.300781e-05 0.0004296875 0.0003881836 0.00011230469 3.6621095e-05 6.347656e-05 0.00013671875 0.00018554687 0.00022216798 0.000234375 0.0012695312 0.041374512 0.03973877 0.040891115 0.039455567 0.04033203 0.038950194 0.040756837 0.038845215 0.0408667 0.039072264 0.039189454 0.19870849 0.0406958 0.039160155 0.038671874 0.038291015 0.00357666 0.003474121 0.0033911134 0.003334961 0.0033300782 0.0033691407 0.0031860352 0.003203125 0.0034326173 0.0031835937 0.0033496094 0.015407715 0.0032250977 0.003149414 0.0031274415 0.0032592774 115.0 11.878261 1366.0 0.0431918 0.0029282577 0.0029282577 0.010248902 0.008052709 0.012445095 0.0 0.021229869 0.0058565154 0.0014641288 0.0029282577 0.0058565154 0.0043923864 0.009516837 0.0109809665 0.008052709 0.0029282577 0.0065885796 0.005124451 0.012445095 0.008052709 0.0065885796 0.0021961932 0.0043923864 0.009516837 0.0073206443 0.009516837 0.0014641288 0.01830161 0.008784773 0.009516837 0.0036603222 0.0065885796 0.0065885796 0.0021961932 0.0065885796 0.005124451 0.0043923864 0.0109809665 0.013177159 0.008784773 0.0036603222 0.013177159 0.0036603222 0.008052709 0.0073206443 0.008052709 0.0029282577 0.0058565154 0.010248902 0.012445095 0.009516837 0.013177159 0.008052709 0.014641289 0.0036603222 0.0021961932 0.0073206443 0.0014641288 0.0065885796 0.008784773 0.010248902 0.01976574 0.0043923864 0.0065885796 0.035871156 0.009516837 0.029282577 0.01976574 0.054172765 0.010248902 0.009516837 0.013909224 0.030014642 0.0065885796 0.0021961932 0.028550513 0.030014642 0.021229869 0.021229869 0.0029282577 0.0043923864 0.033674963 0.03660322 0.024158126 0.013177159 0.008052709 0.0007320644 0.0043923864 0.008052709 0.0036603222 0.0 0.0014641288 0.0109809665 0.0029282577 0.0 6.062384 0.0 0.0 0.0 1.0 206336.0 225280.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1512921600.0 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 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177664.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.055794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.108925 0.0 4.793433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -177358.0 0.0 26200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 184396.0 26200.0 192512.0 0.0 0.0 0.0 0.0 48.0 221184.0 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 184320.0 0.0 0.0 0.0 0.0


Input: 0.005875244 0.0039131567 0.0039298437 0.0038883695 0.003949285 0.0038867495 0.0038763809 0.0038499734 0.003950743 0.003914939 0.0039212573 0.0039257933 0.0038848054 0.0039462065 0.0039199614 0.003930654 0.003918503 0.0038311805 0.0038566159 0.0039016542 0.0038519176 0.0038865875 0.0038718446 0.0038208119 0.0038885316 0.003837823 0.0038342588 0.0039047324 0.0038439792 0.0038702246 0.003841387 0.0038818892 0.004089908 0.00393681 0.0038896657 0.0039445865 0.003915101 0.0038702246 0.0038488396 0.0038614762 0.0039003582 0.003918989 0.0039032744 0.003896956 0.0038870736 0.0038711966 0.003899062 0.0038548338 0.003899224 0.0038619621 0.0038919337 0.003973586 0.0038467334 0.003918989 0.0038826992 0.0038830233 0.0038898275 0.0038679566 0.0038423592 0.0039081345 0.003896146 0.0038621242 0.003859208 0.0038731408 0.0041156677 0.0038613142 0.0038857774 0.003911051 0.0039210953 0.003952687 0.0038763809 0.0038509455 0.0038953358 0.003858398 0.0038987382 0.003896146 0.0039032744 0.0039133187 0.0038831853 0.0038932299 0.003947341 0.0038822133 0.0038671463 0.003955117 0.0038556438 0.00393195 0.0039087827 0.0039442624 0.0038875595 0.003879297 0.0038797832 0.0039546313 0.0038906378 0.0038886936 0.0039220676 0.0038898275 0.0038694146 0.0039607873 0.0038697387 0.0038859395 0.003949123 0.003988329 0.003909107 0.0038856154 0.0039068386 0.003942156 0.0039001962 0.003896956 0.0039607873 0.0039606253 0.0039436147 0.0039392402 0.0039082966 0.0038455992 0.0039259554 0.003972614 0.0040362836 0.003995295 0.003881727 0.0038865875 0.0039423183 0.0038890175 0.0038362027 0.0038558058 0.003934056 0.003910727 0.003840901 0.0038454372 0.003945721 0.0039241733 0.0038281023 0.0039301678 0.003954145 0.0039113746 0.0038630962 0.0038637442 0.0038861015 0.0040170043 0.00389728 0.0042042863 0.003837985 0.0039449106 0.003856778 0.0039034365 0.00392871 0.0038363647 0.0038830233 0.003874275 0.0038439792 0.0038703866 0.0039037603 0.003840901 0.003896632 0.0038655263 0.0038699005 0.0038574259 0.0038446272 0.0038886936 0.0038728167 0.003920771 0.0038669845 0.0038676325 0.003841711 0.0038823753 0.0038841574 0.0038723308 0.0038707107 0.0038818892 0.0038702246 0.003907487 0.0038264822 0.0038551579 0.003912023 0.0038661745 0.0038729787 0.0038875595 0.0038345826 0.0038882075 0.0038668225 0.003875247 0.0038562918 0.0038810791 0.0038835092 0.0038697387 0.003915263 0.0038655263 0.003859208 0.003859856 0.0038780011 0.003877677 0.0038431692 0.0039003582 0.0039818487 0.0039115367 0.0039199614 0.0039594914 0.003877839 0.003880755 0.0038828612 0.0038830233 0.0038686045 0.0038797832 0.0039034365 0.0038684425 0.0039113746 0.0038430071 0.0038929058 0.0038804312 0.0039021403 0.0038935537 0.0038899896 0.0038639063 0.003951877 0.003874275 0.003878649 0.0039029503 0.0039032744 0.0038580738 0.0038572638 0.003839281 0.0039100787 0.0038841574 0.0038896657 0.0038977661 0.0039035983 0.0038810791 0.0038634203 0.0039432906 0.0039081345 0.003918503 0.0038558058 0.003919151 0.0040709535 0.003876057 0.0039013303 0.0039236876 0.003912185 0.0038718446 0.0038566159 0.0038545097 0.0039424803 0.003910727 0.0038954979 0.0038754088 0.0039082966 0.003841873 0.003910565 0.0039225533 0.0039097546 0.0038493255 0.0038851295 0.0038820512 0.0039781225 0.0039023024 0.0039061906 0.0044633383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00030240053 4.699687e-06 1.5476555e-05 6.0771813e-06 2.212094e-05 4.1324834e-06 7.8436155e-05 3.87319e-05 8.264967e-06 5.26689e-06 1.1344072e-06 7.292617e-07 2.998076e-06 1.2154362e-06 1.053378e-06 5.1048323e-06 0.00022461261 2.2688143e-06 4.140586e-05 5.915123e-06 2.6901655e-05 1.4018031e-05 0.00011579056 6.150107e-05 6.482327e-07 3.2411634e-07 2.4308724e-07 3.2411634e-07 4.861745e-07 2.4308724e-07 2.4308724e-06 7.292617e-07 0.00020824475 2.106756e-06 5.4289485e-05 1.4666264e-05 1.48283225e-05 1.0695839e-05 9.853137e-05 4.95898e-05 9.72349e-07 1.2964654e-06 4.861745e-07 1.7826399e-06 2.998076e-06 4.861745e-07 2.1877851e-05 1.499038e-05 0.0002638307 7.211588e-06 1.8879777e-05 1.6448903e-05 2.4956957e-05 9.72349e-06 2.6091364e-05 1.50714095e-05 2.0095213e-05 1.2154363e-05 4.213512e-06 3.0791052e-06 1.8960805e-05 5.1858615e-06 2.1553737e-05 3.0385905e-05 0.0003071002 5.672036e-06 5.6963443e-05 3.378913e-05 5.202067e-05 2.641548e-05 0.00016619064 9.97468e-05 3.0223848e-05 3.095311e-05 5.915123e-06 1.2883624e-05 3.881293e-05 8.345995e-06 3.42753e-05 8.6377004e-05 1.7016107e-05 2.4308724e-06 3.095311e-05 2.0338299e-05 4.861745e-06 3.970425e-06 4.0271454e-05 2.5200045e-05 2.1877852e-06 2.7549888e-06 2.7549888e-06 2.2688143e-06 2.5119016e-06 2.5929307e-06 2.7549888e-06 3.0791052e-06 0.000245194 2.5200045e-05 3.3627068e-05 3.1439286e-05 9.5047115e-05 7.916542e-05 4.051454e-05 5.5504923e-05 0.00015233467 1.2559508e-05 1.1911275e-05 2.309329e-05 7.7301745e-05 4.5133198e-05 6.79834e-05 0.00016562344 0.0009461766 0.00013110506 0.00019074246 0.00017704854 0.0003681151 0.00035515046 0.0002401702 0.0002783349 0.0005937811 6.644385e-05 7.584322e-05 0.00011068572 0.00032111825 0.00020241065 0.00031139478 0.0006099059 0.06198587 0.061664913 0.062048018 0.061857197 0.061908975 0.061984897 0.061967477 0.061887905 0.06196294 0.061870568 0.06186773 0.06180485 0.061886366 0.06193636 0.062002156 0.06207071 28851.0 5.7821913 166822.0 0.013823117 0.010052631 0.010532184 0.010250446 0.0103763295 0.009908765 0.010058626 0.010280418 0.010208486 0.010088597 0.010352352 0.009633022 0.010100586 0.010190503 0.010490223 0.009890782 0.009992687 0.010226469 0.010112575 0.010094591 0.009633022 0.010166525 0.010136553 0.0100706145 0.009501145 0.010040642 0.010124564 0.010016665 0.010502212 0.009998681 0.010346357 0.010130558 0.010304396 0.010340363 0.009890782 0.0100766085 0.010220475 0.010250446 0.010226469 0.009489156 0.010058626 0.009740922 0.010040642 0.010442268 0.010747983 0.01032238 0.0102384575 0.010022659 0.010262435 0.0103823235 0.009722938 0.01087986 0.010178514 0.010148542 0.010124564 0.010256441 0.009878793 0.010304396 0.009974703 0.010190503 0.009986692 0.010436273 0.010508207 0.0105381785 0.009405234 0.011779022 0.01032238 0.010903837 0.0111496085 0.0140748825 0.010244452 0.009932742 0.010358346 0.012144681 0.009842826 0.010046637 0.011713084 0.010951793 0.011653139 0.011970843 0.010640084 0.009668988 0.012408435 0.012444402 0.013043843 0.010508207 0.010148542 0.010208486 0.01010658 0.010646078 0.010304396 0.009788876 0.009974703 0.009998681 0.01026843 0.009830838 6.5807867 2.0 2.0 0.0 81.0 6172510.0 86016.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41472.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.578814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41424.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 11264.0 73728.0 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 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24889389 0.017670998 0.012246587 0.0066608964 0.011558456 0.004096532 0.0074457964 0.0041986764 0.0062308144 0.0036234416 0.014569031 0.0025643646 0.004107284 0.0024192117 0.0027579013 0.0030213266 0.0048384233 0.00455887 0.0043115728 0.0027417734 0.0026019968 0.0032094875 0.0027202691 0.0017149523 0.0025912446 0.001042949 0.0010967093 0.0013547586 0.0014945352 0.00123111 0.0019998818 0.0017364564 0.052389376 0.001026821 0.003736338 0.0006504992 0.0027525255 0.0014999113 0.0011020853 0.0010483251 0.006553376 0.0029890705 0.0033492644 0.0018224729 0.003295504 0.0027417734 0.0059028766 0.0011988538 0.005784604 0.0024245877 0.0026235008 0.0041502924 0.0020428898 0.0026073726 0.001236486 0.0013440065 0.0015966798 0.0025643646 0.0019622496 0.0028062856 0.0011881018 0.009703727 0.000817156 0.0011182134 0.0044083414 0.003483665 0.0010590771 0.004322325 0.003295504 0.009811248 0.002478348 0.0012687421 0.0015805517 0.003107343 0.00033331363 0.0009730607 0.0025643646 0.0029191822 0.0025858686 0.0019407454 0.008768299 0.0013601346 0.0033116322 0.0051986175 0.0036234416 0.0028492939 0.0038062264 0.0031234713 0.0011182134 0.0013977668 0.00060749095 0.0011934778 0.0017848407 0.0017472085 0.0013171264 0.0054082824 0.000612867 0.009655343 0.0034460328 0.0070640985 0.0070909783 0.02431039 0.005333018 0.0044674776 0.005714716 0.013450817 0.0023815795 0.0012418621 0.00992952 0.0060856617 0.01183801 0.019660128 0.0063383346 0.00060211495 0.015133514 0.0132626565 0.020192355 0.007822118 0.0021987946 0.0018816092 0.0023224433 0.003101967 0.001026821 0.0027202691 0.0015751757 0.0025106042 0.0009031724 0.0004569622 0.0046287584 0.0016128079 0.0013493826 0.0028331657 0.0011988538 0.0045749983 0.00086554023 0.00029568144 0.0010590771 0.0036449458 0.0005160985 0.008628522 0.0013977668 0.0064404793 0.00042470606 0.0003709458 0.001838601 0.0005859868 0.00025804926 0.00036019375 0.00062899507 0.00041395403 0.00047846633 0.00025804926 0.00060749095 0.00046771427 0.00044621018 0.0002472972 0.00067200325 0.00060749095 0.0003494417 0.00028492938 0.0010053169 0.00063974713 0.0005537307 0.00043545812 0.0007633957 0.00048384236 0.00035481772 0.00044621018 0.001236486 0.0005913629 0.00047846633 0.0007580197 0.00042470606 0.00041933003 0.000408578 0.00026880132 0.0007795238 0.00049997045 0.00036556978 0.0004300821 0.00064512313 0.001446151 0.000408578 0.00029568144 0.0014837832 0.00046771427 0.00039782593 0.00035481772 0.00072576356 0.0005537307 0.00041933003 0.00063974713 0.0030535827 0.0008870443 0.0015805517 0.0011612216 0.0013440065 0.0004300821 0.001016069 0.0016719442 0.0010053169 0.0009999409 0.0004569622 0.00039782593 0.0021772906 0.00048384236 0.0003440657 0.0002634253 0.0010214449 0.00037632184 0.00040320196 0.00042470606 0.00072576356 0.0004300821 0.002225675 0.0009784368 0.001032197 0.00063974713 0.0010967093 0.0006558752 0.0010106929 0.00035481772 0.00063437107 0.0003924499 0.0010913333 0.00070425944 0.0003440657 0.00024192118 0.0013440065 0.0003064335 0.00050534646 0.00027955335 0.004714775 0.0007848998 0.00041933003 0.0015859277 0.0019568736 0.0003279376 0.0002634253 0.0003709458 0.0023708276 0.0006558752 0.00027955335 0.0010053169 0.00089779636 0.00033331363 0.0010537012 0.007929639 0.0021557864 0.00048384236 0.0002903054 0.0036395697 0.0021235303 0.0009085484 0.0025697404 0.026439296 0.04433051 5.4253474e-06 1.0850695e-05 1.3563368e-05 2.7126736e-05 2.170139e-05 0.0 0.0 5.4253474e-06 5.4253474e-06 0.0 2.7126737e-06 5.4253474e-06 1.0850695e-05 2.7126737e-06 2.7126737e-06 0.016048176 5.967882e-05 9.494358e-05 3.2552085e-05 6.23915e-05 3.2552085e-05 0.00011121962 6.781684e-05 1.8988716e-05 1.0850695e-05 1.3563368e-05 2.983941e-05 1.3563368e-05 2.983941e-05 1.6276043e-05 2.4414063e-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 0.013810221 0.0001437717 0.00028211807 0.00023328993 0.0002468533 0.00012749566 0.0009684245 0.00042588977 3.526476e-05 3.2552085e-05 0.00014919705 5.6966146e-05 2.983941e-05 6.510417e-05 1.8988716e-05 4.0690105e-05 0.0043863934 1.8988716e-05 9.765625e-05 0.00012207031 0.0001437717 7.052952e-05 0.00046929254 0.0002061632 8.138021e-06 5.4253474e-06 5.4253474e-06 5.4253474e-06 5.4253474e-06 5.4253474e-06 2.7126737e-06 2.7126737e-06 0.004131402 0.00030381946 0.0002983941 0.00012207031 0.000116644966 8.138021e-05 9.765625e-05 0.00016818577 5.15408e-05 3.2552085e-05 3.526476e-05 2.7126736e-05 1.3563368e-05 3.526476e-05 2.983941e-05 1.0850695e-05 0.014187283 0.000515408 0.012388781 0.0008626302 0.0053032767 0.0033393013 0.030653212 0.015855577 1.6276043e-05 1.0850695e-05 5.4253474e-06 2.4414063e-05 7.052952e-05 1.0850695e-05 5.4253473e-05 3.526476e-05 0.039727107 0.002319336 0.041908093 0.0046088323 0.012643771 0.008417427 0.048920356 0.02631836 0.0006157769 0.00021158854 0.00021701389 0.0002685547 0.0005343967 0.00032280816 0.00037706163 0.0014784071 0.07275933 0.00926378 0.018025717 0.0050157337 0.00437283 0.0046495227 0.017249892 0.0123345265 0.002186415 0.0010091146 0.0010904948 0.0009847005 0.00105523 0.0016954211 0.0010932075 0.0027696397 0.050697155 0.005026584 0.0059868707 0.0034098306 0.0059380424 0.004402669 0.013012695 0.007348633 0.0024061415 0.0017903646 0.0010660808 0.0012207031 0.0017713759 0.0012885199 0.0011528863 0.0045925565 0.030403646 0.00445421 0.004036458 0.007340495 0.0032552083 0.0035291885 0.007356771 0.0043348526 0.003233507 0.0013481987 0.0011827257 0.0009467231 0.0013834635 0.00081380206 0.0009928385 0.00316569 0.013620334 0.004006619 0.0027235243 0.00625 0.0014567057 0.0016628689 0.0032986111 0.002709961 0.0027126735 0.00086805556 0.0007188585 0.00064019096 0.0007514106 0.00066189235 0.0009087457 0.001453993 0.020166015 0.004909939 0.003092448 0.005192057 0.005395508 0.008528646 0.0032986111 0.0045600045 0.010321723 0.001022678 0.0012939454 0.0019070095 0.005186632 0.0024332681 0.0034667968 0.013669162 0.02334527 0.008037652 0.0033175999 0.010530599 0.007164171 0.011735026 0.0071831597 0.007864041 0.018047418 0.0019802516 0.0032524955 0.0036702475 0.0062228735 0.0049343533 0.007080078 0.025634766 0.00095214846 0.00038519964 0.00035807292 0.00048828125 0.000265842 0.00035264756 0.0007025825 0.000499132 0.00026041668 0.00017632378 0.0002468533 0.00014919705 0.00019259982 0.00016818577 0.00016276042 0.0001953125 2131.0 23.922102 50978.0 0.17866531 0.0005100239 0.010592804 0.0004315587 0.0003334772 0.0018439327 0.0003138609 0.0010200478 0.007199184 0.007140335 0.00027462828 0.0013142924 0.0063360664 0.001412374 0.017007336 0.0010985131 0.011436306 0.004315587 0.0047079134 0.0038251795 0.0029816783 0.0020989447 0.0022362587 0.0015889207 0.0014319903 0.0017262348 0.004237122 0.00060810545 0.0013339088 0.0066499272 0.00092196633 0.0016870023 0.0024716544 0.008219232 0.0017654675 0.012220958 0.0071795676 0.010749735 0.005453333 0.0032366903 0.0025893522 0.008356546 0.00015693044 0.0018047001 0.0050610066 0.0051590884 0.0059633567 0.0052571697 0.0061202873 0.0002942446 0.0064733806 0.012122877 0.008572325 0.0019812468 0.0026285849 0.0027855153 0.000706187 0.00049040763 0.00047079133 0.00088273373 0.0039624935 0.00092196633 0.00021577935 0.015536114 0.0002942446 0.029189061 0.01014163 0.02049904 0.020224411 0.07693515 0.013907961 0.013633332 0.010102397 0.040389974 0.0015693044 0.002059712 0.029640237 0.016928872 0.03674134 0.046588726 0.01577151 0.00017654675 0.045195967 0.039723016 0.053160187 0.012750599 0.0055514146 0.004747146 0.0051590884 0.008513477 0.0012946761 0.00068657065 0.0003923261 0.00064733805 0.00011769783 0.00017654675 5.1559944 5.0 9.0 0.0 5.0 186011.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.006998738 0.004075321 0.00378077 0.003913318 0.0037976014 0.0043477803 0.0038628236 0.0040521775 0.0037744583 0.004127919 0.0035177784 0.0037250158 0.0037018724 0.004137387 0.003841784 0.0040900484 0.0041699978 0.004581317 0.003874395 0.004542394 0.0038870187 0.0042804545 0.0037292237 0.0041510626 0.0038722912 0.0042888704 0.0037565748 0.0040437616 0.003936461 0.0040143067 0.0036597939 0.0041784137 0.0038438882 0.0038817588 0.0039596045 0.0038228487 0.004257311 0.0041984012 0.0038933305 0.003976436 0.0037397433 0.0039354092 0.0034430886 0.003621923 0.0040774248 0.0038533558 0.003653482 0.0040584896 0.0036640016 0.0039006942 0.0035409215 0.004010099 0.0038018094 0.004057437 0.0034052178 0.003624027 0.0038291605 0.004036398 0.003463076 0.0035977277 0.0033925942 0.0038396802 0.0035514412 0.0037849778 0.0046002525 0.005162003 0.0041899853 0.0050473385 0.0046297074 0.005555439 0.004520303 0.0047917105 0.0041237115 0.004548706 0.0037681465 0.0042078686 0.004385651 0.0065863663 0.0041868296 0.0044119502 0.004586577 0.006508521 0.0040879445 0.0043362086 0.0043351566 0.0047275405 0.004387755 0.0062707765 0.0045634336 0.004906375 0.0039070062 0.0043435725 0.0043625077 0.005163055 0.004605512 0.0052019777 0.004041658 0.0040216707 0.0036419104 0.0041699978 0.0061697876 0.004675994 0.0039806436 0.004004839 0.0042152326 0.0043698717 0.004132127 0.0040605934 0.0048537767 0.0046654744 0.00403745 0.004367768 0.00454029 0.0043067536 0.004045866 0.0045918366 0.0045339786 0.0049537136 0.0045823692 0.004263623 0.004076373 0.0038964865 0.0037271196 0.003691353 0.0041468544 0.0040626973 0.0039038502 0.0037428993 0.0033894381 0.0034778034 0.0032579424 0.0034283611 0.0035724805 0.0037397433 0.003298969 0.0034399326 0.0035724805 0.0035819483 0.0031674732 0.0033547233 0.003655586 0.003682937 0.0033158006 0.0038354723 0.0035177784 0.0035966758 0.0034683358 0.0037208078 0.0035724805 0.0039248895 0.0033442036 0.0036082475 0.0035051547 0.003559857 0.0033326321 0.0037039765 0.003426257 0.0037208078 0.0034525562 0.003624027 0.0036082475 0.003778666 0.003362087 0.003619819 0.0036282348 0.0039627603 0.0037166001 0.0037628866 0.003555649 0.0037018724 0.0032421628 0.0034756996 0.003690301 0.0038407322 0.003434673 0.0036745213 0.003430465 0.0036145593 0.0034872713 0.003778666 0.0033873343 0.0039943196 0.003307385 0.0034178414 0.0035019987 0.0037881339 0.0035388176 0.0034841152 0.0038175888 0.0038228487 0.0033873343 0.0037976014 0.0039301496 0.003905954 0.0033757626 0.0035461814 0.0039596045 0.00410162 0.0038575637 0.0038228487 0.0036682095 0.0037702504 0.0031811488 0.003334736 0.003494635 0.003687145 0.0035367135 0.0033568272 0.0035325058 0.0037639386 0.0036997686 0.003594572 0.003982748 0.0037218598 0.0033757626 0.0036082475 0.0039701243 0.0039259414 0.0036703134 0.003618767 0.00411214 0.0039859037 0.003966968 0.003815485 0.003687145 0.0036061434 0.0032852935 0.003464128 0.0037302757 0.0035514412 0.0032263834 0.0035714286 0.003651378 0.0038722912 0.0031632653 0.0033242162 0.0037481592 0.0041226596 0.0034483485 0.0037891858 0.003463076 0.0035440775 0.0033420997 0.003690301 0.0036713656 0.0040153586 0.0035714286 0.0036419104 0.0033410478 0.0035808962 0.0031359142 0.003240059 0.003397854 0.0034399326 0.0031611614 0.0032747737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00047511293 2.3702973e-05 9.270496e-05 4.424555e-05 3.3184162e-05 2.5283172e-05 0.00011956833 6.900199e-05 2.1069309e-05 5.0566345e-05 1.8962379e-05 2.1069309e-05 2.0015845e-05 2.3702973e-05 1.7908913e-05 2.2649509e-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 0.000725311 8.533071e-05 0.00014221785 8.480397e-05 0.000108506945 8.480397e-05 0.00023228914 0.00014063764 6.0574264e-05 0.00010007922 5.741387e-05 6.5841596e-05 6.4261396e-05 6.5841596e-05 6.689506e-05 7.2689116e-05 0.0008201229 0.00014221785 0.00019805151 0.00016012676 0.00015696636 0.0001401109 0.00024177032 0.0002027921 0.00013958418 0.00015801981 0.0001432713 0.0001432713 0.00013800398 0.00015591289 0.00015643962 0.00013958418 0.063359626 0.06473651 0.061801553 0.059238996 0.07444577 0.07607338 0.06883449 0.06668068 0.055585053 0.056799173 0.05785369 0.057346974 0.05832775 0.06013181 0.057019345 0.055292714 6762.0 5.95874 40293.0 0.011193011 0.008413372 0.009555009 0.010076192 0.010001738 0.010572556 0.008463008 0.009381282 0.008537463 0.0091331 0.007991463 0.008636736 0.010547738 0.009579828 0.007966644 0.008661554 0.0088601 0.009033827 0.008388554 0.010820738 0.009803192 0.009927283 0.008190008 0.008736009 0.01010101 0.010349192 0.0073958253 0.008537463 0.008314099 0.009852828 0.0080659175 0.008909736 0.011391557 0.012682104 0.010200283 0.013079195 0.010870375 0.014220833 0.011019284 0.011391557 0.0096791005 0.011490829 0.00928201 0.009976919 0.010597374 0.0135755595 0.009803192 0.0100265555 0.011515648 0.012632467 0.009430919 0.011044102 0.01134192 0.011689375 0.010374011 0.013252922 0.010299556 0.013104013 0.00928201 0.010349192 0.010498102 0.013674832 0.010374011 0.014047105 0.010498102 0.010274737 0.008140372 0.010547738 0.012483558 0.013451468 0.010175465 0.01010101 0.010374011 0.012831013 0.008934555 0.009108282 0.014295287 0.012533194 0.010448465 0.011068921 0.010969647 0.010597374 0.011466011 0.013252922 0.012632467 0.0123346485 0.011664557 0.011143375 0.009579828 0.009257191 0.009182736 0.008760827 0.009877646 0.009976919 0.008909736 0.008934555 6.567981 0.0 0.0 0.0 31.0 950600.0 4063232.0 0.0 0.0 17.0 1.0 1.0 0.0 1.0 0.0 1529522600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12.0 6.0 0.0 6.0 0.0 163328.0 1024.0 4096.0 8.0 1.0 6.0 8.0 8.0 305664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -944640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 39.836414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.974951 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.724729 0.0 0.0 0.0 0.0 0.0 0.0 3108864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -946176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1212.0 3117136.0 472.0 495616.0 0.0 0.0 0.0 0.0 16.0 3117104.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3117056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.28540456 0.030260917 0.01694169 0.005054963 0.007352389 0.0035243891 0.010492831 0.0052344166 0.0050163595 0.0018540081 0.01812692 0.0037873096 0.0026229466 0.0010402059 0.0021805721 0.0012666099 0.0018759181 0.0037361863 0.0015503973 0.002427843 0.0015138806 0.0008503188 0.002281776 0.0015138806 0.0013719868 0.0009327424 0.0010725494 0.0010819394 0.0010068192 0.0009536091 0.0010047326 0.0019312149 0.011591463 0.0009045723 0.0008962256 0.0007136418 0.0012217464 0.0015900441 0.0013782468 0.0009087457 0.0065062433 0.0008722289 0.0023767194 0.0008461455 0.007906401 0.001195663 0.019119132 0.0005268847 0.013205504 0.0063893897 0.0013302534 0.0041159606 0.0019593851 0.006258973 0.0017872346 0.0037904398 0.001934345 0.0030809713 0.0009942992 0.0005905282 0.00056340144 0.006254799 0.0014085036 0.0004924546 0.0009567391 0.0031352248 0.0037643563 0.0055213342 0.005077916 0.0012707833 0.002853524 0.0010589861 0.0007011218 0.0032093015 0.0003223908 0.0022410857 0.0034753522 0.0022066557 0.0018164479 0.0023495927 0.004919329 0.0013250367 0.002014682 0.008536575 0.0058802417 0.0010704627 0.0033637153 0.0020063352 0.0005112346 0.00045385116 0.0009327424 0.00047471788 0.00038394766 0.00069173175 0.00043507112 0.004727355 0.0022160457 0.018977238 0.008007604 0.009522527 0.00792831 0.038129758 0.003999107 0.005177033 0.003480569 0.018922985 0.0004496778 0.003676716 0.01574081 0.012891459 0.02002892 0.03672647 0.010202783 0.0020939754 0.023661816 0.018590162 0.025310287 0.015302609 0.0026062534 0.0046710153 0.003285465 0.009466188 0.001431457 0.0022901224 0.000515408 0.0010756794 0.0007094685 0.00031404413 0.0014043303 0.00054879475 0.0003568209 0.00030256744 0.00034012753 0.00029630744 0.0003390842 0.000384991 0.00054044806 0.0003223908 0.000391251 0.00028900406 0.0005873982 0.00036099425 0.00034221422 0.00036308094 0.0004548945 0.0003276075 0.0002869174 0.0002837874 0.00029735075 0.00030361078 0.00037455763 0.00029943744 0.00033699753 0.00031508747 0.00040585772 0.00061035156 0.0002983941 0.00024205395 0.00030256744 0.00026813734 0.00031717416 0.0002983941 0.0008690989 0.0002869174 0.0003130008 0.00022953392 0.0003568209 0.00023788061 0.00031404413 0.00030361078 0.00045906784 0.0003296942 0.00036308094 0.00027648403 0.00030569744 0.00023788061 0.0005008013 0.0002900474 0.00036725428 0.00025040066 0.00028170072 0.00035473425 0.00066460506 0.0003130008 0.0003599509 0.00024831397 0.00043715778 0.00034325753 0.00073450856 0.00023370727 0.00023788061 0.0002983941 0.00056966144 0.00023892394 0.00030048078 0.00029735075 0.00028796075 0.00029109075 0.0002524873 0.0005477514 0.0002983941 0.0002837874 0.0002921341 0.00035264756 0.00023057725 0.0002660507 0.00031091413 0.0002691807 0.0008263221 0.00021805722 0.0003829043 0.00023683727 0.0006666917 0.0003505609 0.0003296942 0.0007658086 0.00026813734 0.00055296806 0.00029943744 0.00020449386 0.0002900474 0.00022014389 0.000515408 0.0002691807 0.00049662794 0.00033699753 0.00031091413 0.0003505609 0.00026187734 0.0002723107 0.00024414062 0.00020240719 0.0002921341 0.000260834 0.00025666066 0.00024309728 0.0002900474 0.00028796075 0.00027439737 0.00029943744 0.0005237547 0.00028796075 0.00023370727 0.0003015241 0.00035264756 0.0002900474 0.0002347506 0.00024101061 0.00035264756 0.00019093048 0.00024727063 0.00032552084 0.00041942106 0.000257704 0.000509148 0.01200671 0.006413979 0.0 0.0 1.0444519e-06 1.0444519e-06 0.0 0.0 0.0 1.0444519e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010068516 7.833389e-06 2.6111297e-06 3.6555816e-06 0.0 0.0 0.0 8.877841e-06 9.9222925e-06 0.0 1.0444519e-06 2.0889038e-06 4.1778076e-06 0.0 4.1778076e-06 1.8277908e-05 0.0010047627 6.2667114e-06 1.0966744e-05 5.2222595e-07 6.7889373e-06 3.6555816e-06 1.5144552e-05 8.355615e-06 2.6111297e-06 2.0889038e-06 1.5666778e-06 2.0889038e-06 2.0889038e-06 0.0 1.5666778e-06 1.0444519e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007937834 8.877841e-05 2.0889038e-06 0.00012063419 4.5955883e-05 3.6555816e-06 1.5666778e-06 1.0444519e-06 1.5666778e-06 5.2222595e-07 0.0 0.0 6.7889373e-06 1.0444519e-06 0.0 2.0889038e-06 0.0031297 0.00032482453 5.5355948e-05 0.00021881267 9.6611795e-05 3.2900232e-05 7.9900565e-05 5.64004e-05 2.82002e-05 8.877841e-06 2.8722427e-05 1.932236e-05 2.2977942e-05 1.2011196e-05 2.5066845e-05 0.00013838988 0.018040817 0.00064181566 0.0013039982 0.00047940342 0.0025881517 0.0018502465 0.01383481 0.0067638704 4.3344753e-05 2.0366811e-05 5.170037e-05 6.63227e-05 5.0655915e-05 3.3944685e-05 8.616728e-05 0.00013368984 0.13565601 0.0036811705 0.0131694935 0.005085436 0.014477148 0.008744673 0.057764977 0.030066635 0.0010501964 0.0009666402 0.0008820396 0.0013483873 0.0009206843 0.0016643341 0.00073320523 0.00079430564 0.08732557 0.006474035 0.010892589 0.0067382813 0.0059183864 0.004860879 0.030973742 0.020692158 0.0015489222 0.0010564631 0.0013426429 0.0010898855 0.0008486172 0.0015844335 0.00090188417 0.0017087233 0.12543815 0.008951997 0.02700587 0.035945855 0.013082282 0.018547377 0.09349045 0.057265207 0.0019118692 0.00086219504 0.0010893634 0.0012141753 0.0012011196 0.0007614054 0.00073633855 0.011426826 0.009840826 0.0018147351 0.001463277 0.0011123413 0.0011781417 0.0009159843 0.0024492396 0.0015849557 0.0005049925 0.00043971423 0.00029923546 0.000342058 0.0003081133 0.00045799214 0.00039793615 0.00041986964 0.004489054 0.0006627047 0.0015562333 0.0018069018 0.00073007186 0.0008554061 0.0033229236 0.0020633147 0.00033109123 0.0004104696 0.00033004678 0.00033056902 0.00027312417 0.000298191 0.00027625752 0.00044545872 0.0035840366 0.0011582972 0.0015468332 0.0009024064 0.00055825955 0.0006042154 0.0017593792 0.0013875543 0.00058071525 0.00055721507 0.0003566803 0.0003645137 0.0003504136 0.0004908924 0.00037548045 0.0003963695 0.00095358456 0.00026685745 0.0003780916 0.00047835897 0.00024283506 0.00025536848 0.0007916945 0.0005358038 0.0001974014 0.00018486798 0.00019061247 0.00019113469 0.00015823446 0.00014987885 0.00018591243 0.00018695688 0.0019071691 0.001047063 0.0012183532 0.0013201871 0.0010710853 0.0010893634 0.0015964446 0.0012141753 0.00096298463 0.00090188417 0.00092903996 0.00094940676 0.00094575115 0.00094940676 0.00095985126 0.0011196524 9787.0 28.983244 283659.0 0.021398934 0.00038778957 5.6405755e-05 4.5829674e-05 0.00031728236 0.0001656919 0.00019036942 0.00011633687 0.00015511582 0.00015511582 3.1728236e-05 2.4677518e-05 0.020108651 9.871007e-05 0.045946013 5.2880394e-05 0.039311286 0.015183724 0.00074032554 0.00965596 0.0042974134 0.018702034 0.004184602 0.010322253 0.0041317213 0.008203512 0.0001233876 7.0507194e-06 2.8202878e-05 0.018589221 3.8778955e-05 3.8778955e-05 4.5829674e-05 0.0032503817 0.003694577 0.011827582 0.009768772 0.0008390356 0.007075397 0.0016851219 0.0003948403 0.0032962114 4.2304317e-05 0.006282191 0.0030423854 0.00279561 0.001156318 0.000803782 0.00853137 0.00037368812 0.002471277 0.022068752 0.010702992 0.00090601743 0.0068462486 0.00534092 0.00014453975 0.00011633687 0.0017979335 7.755791e-05 8.8133995e-05 9.518471e-05 9.871007e-05 0.013431621 4.5829674e-05 0.039498128 0.017623274 0.017662052 0.013974526 0.08883906 0.008411508 0.010198865 0.0052880393 0.039283082 0.00017626799 0.007487864 0.03723485 0.03249324 0.046725117 0.047394935 0.0057674884 0.00041599243 0.043210335 0.042981185 0.05479819 0.039008103 0.007251665 0.012307031 0.0018790168 0.025897292 0.00186139 7.0507194e-05 0.00010576079 9.165935e-05 3.5253597e-05 8.108327e-05 5.249695 0.0 0.0 0.0 1.0 958464.0 974848.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1433294700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 4.0 0.0 4.0 0.0 946176.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -946176.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.52753 0.0 3.2794511 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 -945988.0 0.0 2456.0 0.0 0.0 0.0 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 87.0 954084.0 2456.0 958464.0 0.0 0.0 0.0 0.0 12.0 966656.0 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 8192.0 0.0 0.0 72.0 8200.0