Input: 0.056530442 0.008285444 0.00616399 0.0056578987 0.0057477555 0.0049493704 0.004207791 0.005422411 0.005046457 0.005621749 0.0037471442 0.004464968 0.004951436 0.0031677207 0.004322436 0.004639518 0.005026833 0.0037667681 0.004922516 0.004161313 0.004348257 0.0031904434 0.004103474 0.0038473296 0.0050578183 0.0033484679 0.0031615237 0.002933266 0.0041520176 0.0034321279 0.003786392 0.0037884577 0.0061557274 0.003820476 0.0034879013 0.0030272545 0.0048956624 0.004156149 0.003838034 0.0037233888 0.0047200797 0.003896906 0.0033381395 0.0030985205 0.0043699467 0.0037244216 0.0037254544 0.0035870539 0.005519498 0.0039444165 0.0031067834 0.0029053795 0.0036748454 0.0030737324 0.0026874503 0.0028681972 0.0041664774 0.0033195484 0.0035219851 0.0033587962 0.0040032887 0.00321833 0.003508558 0.0034558834 0.006585389 0.0039433837 0.0036221705 0.0032224613 0.00416751 0.0032265927 0.0035457404 0.0030665025 0.0049937824 0.0037750308 0.003702732 0.0035839553 0.0041220654 0.0031181446 0.0035622658 0.0034672446 0.005163168 0.0036459258 0.0036634842 0.0033433037 0.003928924 0.0033763545 0.0033577634 0.0035364449 0.004645715 0.00364386 0.0038111804 0.0035075252 0.00411277 0.0033908144 0.0036934365 0.0037967204 0.0059078457 0.003626302 0.003335041 0.0029570214 0.003988829 0.0030551413 0.0032720377 0.0030406816 0.004976224 0.0031759837 0.0032111001 0.0030561741 0.0035756927 0.0028403106 0.0030850936 0.003199739 0.004503183 0.0032875303 0.0032255598 0.0031542939 0.0038958732 0.0033422709 0.003288563 0.0036335317 0.0046219598 0.0032978586 0.0034786058 0.0031728852 0.004033241 0.0032018046 0.0034755073 0.0033464022 0.008639708 0.004595106 0.0040094857 0.0035250837 0.0043575526 0.0034290294 0.0030272545 0.0033846174 0.0045465627 0.00383287 0.0029632186 0.003192509 0.0037378487 0.0028124237 0.002850639 0.0029911052 0.0052272044 0.0032018046 0.0034940983 0.0030251888 0.00366555 0.0031914762 0.00331645 0.003263775 0.004551727 0.002844442 0.00304378 0.0027132712 0.003515788 0.003236921 0.0030024664 0.0031439655 0.005015472 0.0034135368 0.0032751362 0.0027958984 0.0037750308 0.003005565 0.0030561741 0.0031883777 0.004130328 0.0030014336 0.003121243 0.0030138276 0.0036459258 0.0028423762 0.002928102 0.0030355174 0.004663273 0.003121243 0.003839067 0.0028599345 0.0035591673 0.0031480968 0.002992138 0.0031326043 0.0042645973 0.0031542939 0.0033371067 0.0031842464 0.00365109 0.0032028374 0.003335041 0.0033422709 0.0067103626 0.004059062 0.0037233888 0.0033443365 0.0041199997 0.0032658407 0.0033071542 0.0032141986 0.0043255347 0.0033329753 0.003108849 0.0030768309 0.0036459258 0.0029849082 0.0030778637 0.0028010625 0.0042522033 0.0032792676 0.0030974876 0.0030034992 0.003715126 0.0030231231 0.002933266 0.0029487587 0.003977468 0.0031140132 0.0027287637 0.0026409724 0.0035323135 0.00295289 0.0035818897 0.002888854 0.0049535017 0.0032410526 0.0033959786 0.0029756126 0.0038039505 0.0030737324 0.0032038703 0.0029229377 0.00444018 0.0054461663 0.003471376 0.003140867 0.0037853592 0.0030840607 0.0032420855 0.0031883777 0.004612664 0.0033143843 0.003431095 0.0030499771 0.0037337174 0.0030923234 0.003315417 0.0032431183 0.0043503228 0.003037583 0.0031894105 0.0028681972 0.00400742 0.0030933563 0.004220185 0.004503183 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909523 0.06198896 0.06245086 0.055341817 0.060576875 0.059607554 0.054971468 0.054512154 0.06049929 0.053196277 0.05214161 0.053003863 0.05641562 0.050592456 0.0566758 0.05384542 4038.0 5.7023277 23026.0 0.017328238 0.010423 0.009337271 0.008685834 0.013419612 0.0125076 0.0118127335 0.011378442 0.012594459 0.009814992 0.008512117 0.008598975 0.013984192 0.010596717 0.011682446 0.009988708 0.0166768 0.011899591 0.008729262 0.007513246 0.009771562 0.008512117 0.007773821 0.008294971 0.010205855 0.008425258 0.009597846 0.00885955 0.0114653 0.0089464085 0.009597846 0.009206983 0.017979676 0.010987579 0.010423 0.008989838 0.0108572915 0.008816121 0.010640146 0.008251541 0.0142013375 0.011595587 0.009728134 0.008902979 0.011421871 0.009293842 0.011639017 0.009597846 0.014809346 0.009728134 0.010118996 0.0089464085 0.012116738 0.0093807 0.009554417 0.009771562 0.013680188 0.009163554 0.010509859 0.009554417 0.011161296 0.009771562 0.010423 0.010640146 0.017892817 0.01094415 0.009684704 0.008208113 0.01302875 0.008208113 0.0094241295 0.008425258 0.015417354 0.0093807 0.00885955 0.008642404 0.011291583 0.008077825 0.009858421 0.007947537 0.013115608 0.007990967 0.008685834 0.008902979 0.011595587 0.009510987 0.0083384 0.008034396 0.010900721 0.009033266 0.01202988 0.008512117 0.011378442 0.009033266 0.010032138 0.008816121 6.5547485 0.0 0.0 0.0 14.0 968204.0 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: 0.19979629 0.007490402 0.0051868684 0.0043406724 0.005923372 0.0035728277 0.0030243674 0.0026169396 0.0086343335 0.0023348744 0.0022251823 0.0022251823 0.0052965605 0.0023975554 0.0020371387 0.0072866883 0.004481705 0.0019587872 0.0013163049 0.0017237327 0.003322103 0.007224007 0.0020684793 0.0015670297 0.0028676644 0.0016297109 0.0018177545 0.0014103267 0.0021781712 0.0019587872 0.0020841495 0.0013633159 0.0075687533 0.0013633159 0.0040899473 0.0017864138 0.0043876832 0.003478806 0.0012849644 0.0015983703 0.0023818852 0.0015983703 0.0013633159 0.0019117763 0.0020214682 0.0030400376 0.0036511791 0.0014416673 0.0046697487 0.0040272665 0.0034161247 0.0056883176 0.0031810703 0.0035728277 0.0023975554 0.0024759069 0.0034161247 0.0050771763 0.003478806 0.005390582 0.0030243674 0.0035728277 0.0025699288 0.0023975554 0.015638957 0.0023348744 0.0018804356 0.003431795 0.0039959257 0.012504897 0.0044503645 0.004967484 0.0023505446 0.0022251823 0.0013946565 0.0015356891 0.002789313 0.0050301654 0.0018647653 0.0014103267 0.008038863 0.002428896 0.0021311603 0.006706887 0.002428896 0.003980255 0.006158427 0.007333699 0.0019274466 0.0026326098 0.0015356891 0.0016453812 0.0019901276 0.0033534435 0.0023975554 0.002272193 0.0019274466 0.005202539 0.002005798 0.003369114 0.0041369586 0.012379535 0.0059860535 0.0028206534 0.007647105 0.006534514 0.0069889524 0.0014886782 0.006268119 0.0027266317 0.005327901 0.005907702 0.0040272665 0.0015200188 0.008007522 0.0068792603 0.013335423 0.0128026325 0.0022095118 0.0027736425 0.0028990048 0.0026012694 0.0012849644 0.0013319752 0.0020684793 0.0039175744 0.0017080624 0.0017550732 0.005014495 0.0049361438 0.0033534435 0.007615764 0.0032280812 0.0055002742 0.0015356891 0.0018961059 0.002851994 0.0079135 0.0017550732 0.012254172 0.0015356891 0.0050771763 0.0013633159 0.0015356891 0.0013163049 0.0010969208 0.0012066129 0.0013946565 0.0019431168 0.0015827 0.0012222831 0.0014573376 0.0019117763 0.0011752723 0.0015670297 0.0013476455 0.0013163049 0.0012066129 0.001425997 0.0015983703 0.001849095 0.0026326098 0.0017864138 0.0023505446 0.0019901276 0.0014573376 0.0014573376 0.0017237327 0.0020371387 0.0015200188 0.0015043485 0.0013006347 0.0013946565 0.0017864138 0.0012536237 0.0015200188 0.0023662148 0.0012379534 0.0008775366 0.0013789862 0.0015827 0.001002899 0.0019744574 0.0022095118 0.0019274466 0.0012066129 0.0013633159 0.0014103267 0.0020371387 0.0014886782 0.0018334248 0.0016297109 0.006926271 0.0037138604 0.0025072475 0.0022878633 0.0022408525 0.0013946565 0.0018961059 0.0032280812 0.0024445662 0.002585599 0.0013789862 0.001425997 0.0016767217 0.0012692941 0.0013006347 0.0013006347 0.0022878633 0.0013789862 0.0013633159 0.0015983703 0.0015827 0.0009715584 0.0027736425 0.0013633159 0.0025385881 0.0009715584 0.00083052577 0.0015827 0.0021468308 0.0013946565 0.0012379534 0.0016453812 0.0025229177 0.0016453812 0.0016767217 0.0012066129 0.002162501 0.0011125911 0.0014416673 0.0013319752 0.011219933 0.0041526286 0.0013946565 0.00421531 0.0033064326 0.0012692941 0.0013319752 0.0014886782 0.0043406724 0.0015670297 0.0015827 0.0015827 0.002742302 0.0015513594 0.0024132258 0.0021311603 0.005233879 0.0018334248 0.0016297109 0.0021154901 0.0042466503 0.001849095 0.0023348744 0.035602916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013807953 8.8050714e-05 0.000144083 0.0014088114 0.00012807376 0.00010405994 8.0046106e-05 6.403688e-05 8.0046106e-05 7.20415e-05 7.20415e-05 7.20415e-05 6.403688e-05 5.6032273e-05 8.0046106e-05 7.20415e-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 0.012102971 9.605533e-05 5.6032273e-05 5.6032273e-05 0.0003762167 0.000144083 0.00042424435 0.00085649337 0.00085649337 0.0002241291 1.600922e-05 0.00013607838 0.00010405994 8.8050714e-05 3.201844e-05 0.0008244749 0.017434042 0.0 0.0034019595 0.0006883965 0.00077644724 0.00024814293 0.0065717855 0.0036661117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0326348 6.403688e-05 0.0038422132 0.0011126408 0.0040743467 0.00288166 0.0128474 0.0070440574 6.403688e-05 0.00019211066 0.0004482582 4.0023053e-05 6.403688e-05 8.0046106e-05 5.6032273e-05 0.00012807376 0.027936092 0.00038422132 0.0022172772 0.0023213371 0.0035700563 0.0026014985 0.013127562 0.007564357 0.0013447746 0.00042424435 0.0011446594 0.00023213371 0.00050429045 0.00024814293 0.00019211066 0.0017610143 0.009181288 0.00040823515 0.0005202997 0.005795338 0.001953125 0.0015849129 0.0063636657 0.0034259735 0.00040823515 0.00042424435 0.0007284196 0.00040823515 0.00038422132 0.00038422132 0.00040823515 0.00040823515 0.032522734 0.0020811989 0.002961706 0.009989754 0.0037461577 0.0028016136 0.0058673797 0.004546619 0.0024894339 0.0017129867 0.0040183146 0.0014888576 0.001977139 0.0014488345 0.0019451204 0.0023693647 0.0028416368 0.00033619365 0.0008965164 0.005259029 0.00044025359 0.0003041752 0.002753586 0.0017129867 0.00024013832 0.00020811988 0.00024814293 0.00023213371 0.00020811988 0.00018410604 0.00028016136 0.00024814293 0.026535284 0.004298476 0.0028256276 0.0036340933 0.009869685 0.0051309555 0.004362513 0.0064437115 0.011286501 0.00063236424 0.0017610143 0.0014728484 0.0053150617 0.0018650743 0.00411437 0.008813077 0.07312212 0.016529521 0.010862256 0.014528369 0.030193392 0.026935514 0.014944608 0.019507237 0.0362849 0.003578061 0.004810771 0.0066758455 0.015024655 0.0069800206 0.01991547 0.044369556 0.014832543 0.01427222 0.014912589 0.013799949 0.01315958 0.014608415 0.014000064 0.014520364 0.01489658 0.014952613 0.014016073 0.0144163035 0.0139200175 0.0142402025 0.014568391 0.01439229 433.0 12.727483 5511.0 0.009072764 0.001996008 0.009254219 0.001996008 0.0061694793 0.0014516421 0.00090727635 0.0023589185 0.0023589185 0.0030847397 0.0016330974 0.002721829 0.0030847397 0.0061694793 0.007984032 0.003992016 0.012338959 0.014334966 0.013609146 0.011068772 0.011431682 0.008891309 0.007258211 0.0078025768 0.00998004 0.010705861 0.0076211216 0.008165487 0.00998004 0.011250227 0.00998004 0.0076211216 0.002721829 0.0063509345 0.003992016 0.011068772 0.010705861 0.011431682 0.009617129 0.010161495 0.0036291054 0.01034295 0.0029032843 0.0032661948 0.008709853 0.009617129 0.0043549263 0.004717837 0.013064779 0.0025403737 0.0056251134 0.013609146 0.0068953005 0.004717837 0.0078025768 0.024859373 0.001996008 0.002721829 0.0021774631 0.0029032843 0.0016330974 0.0016330974 0.0010887316 0.001996008 0.0021774631 0.030847397 0.007984032 0.018326983 0.022681909 0.0843767 0.009072764 0.010161495 0.00998004 0.03538378 0.0034476502 0.004173471 0.037016876 0.015423698 0.030665942 0.03719833 0.014516422 0.0023589185 0.03719833 0.03647251 0.05026311 0.016693885 0.0061694793 0.0097985845 0.009435674 0.0121575035 0.0025403737 0.0016330974 0.0014516421 0.001996008 0.0021774631 0.0010887316 5.9122534 0.0 0.0 0.0 1.0 63815.0 1499136.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 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 -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 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.241418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 4.7562914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1019904.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 2776.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 -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 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 -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 -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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 180.0 39732.0 2776.0 1490944.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.31599784 0.016272983 0.0034223595 0.008824319 0.021607839 0.0021809153 0.0016776272 0.0019460475 0.0021473628 0.0010065763 0.0020802577 0.0013085492 0.0014427594 0.0011072339 0.0015098645 0.0047309087 0.002281573 0.00063749833 0.0015769695 0.00063749833 0.00087236613 0.0007046034 0.0010065763 0.002281573 0.0035565696 0.0021809153 0.0011072339 0.0016440746 0.0029190714 0.0013421017 0.0026170984 0.004865119 0.004563146 0.0022480204 0.0019460475 0.0022480204 0.0049657766 0.0014427594 0.0008388136 0.0012749967 0.00067105086 0.0015098645 0.00036907798 0.0012749967 0.00033552543 0.00073815597 0.0027513085 0.00073815597 0.0050328816 0.0039256476 0.004630251 0.009394712 0.004194068 0.0045295935 0.003590122 0.0037914375 0.0042947256 0.0028855188 0.0034894645 0.0022480204 0.0010065763 0.00060394575 0.0007717085 0.0016440746 0.008153268 0.005569722 0.0015098645 0.003321702 0.004328278 0.004328278 0.000805261 0.0020467052 0.0010736814 0.0037914375 0.0005032882 0.0010401289 0.0011072339 0.0020131527 0.0022480204 0.0007717085 0.007851295 0.0008388136 0.0012749967 0.0016440746 0.000805261 0.0020467052 0.0015098645 0.0013421017 0.002281573 0.0011407865 0.001174339 0.00043618307 0.003757885 0.0005703932 0.00060394575 0.0007717085 0.0011072339 0.005066434 0.0036907797 0.0046638036 0.004328278 0.009931553 0.003388807 0.00067105086 0.0016440746 0.0014763119 0.00087236613 0.00087236613 0.0019460475 0.0014427594 0.0016776272 0.0021473628 0.0015098645 0.000805261 0.0018789425 0.0023151254 0.003086834 0.0022480204 0.00093947124 0.0016440746 0.0029526239 0.00090591866 0.0010401289 0.00033552543 0.0005032882 0.00087236613 0.00036907798 0.0005032882 0.002348678 0.0037914375 0.0013421017 0.005133539 0.0010401289 0.0038585425 0.0005032882 0.00046973562 0.0005368407 0.0034894645 0.00087236613 0.016910482 0.00043618307 0.006240773 0.00036907798 0.00073815597 0.0012749967 0.0012749967 0.00046973562 0.00030197288 0.00073815597 0.00030197288 0.001174339 0.00036907798 0.00067105086 0.0004026305 0.00030197288 0.00033552543 0.0013756542 0.00030197288 0.0005703932 0.00063749833 0.00097302377 0.0014763119 0.00023486781 0.00043618307 0.0005368407 0.00033552543 0.0010736814 0.00033552543 0.00046973562 0.00063749833 0.0012078915 0.0005368407 0.0014763119 0.00043618307 0.0004026305 0.00046973562 0.0012414441 0.0012078915 0.0004026305 0.00033552543 0.00090591866 0.0004026305 0.0011407865 0.000805261 0.0025164408 0.001610522 0.0013085492 0.0007046034 0.0013756542 0.00060394575 0.00093947124 0.0010065763 0.004261173 0.0070124813 0.0016776272 0.0042276205 0.00093947124 0.0020802577 0.0020131527 0.0024828883 0.0016440746 0.0017447323 0.0013085492 0.0011407865 0.0007717085 0.0014427594 0.0008388136 0.0012078915 0.001912495 0.000805261 0.00093947124 0.00093947124 0.00067105086 0.0005368407 0.0010736814 0.0010065763 0.000805261 0.00097302377 0.00063749833 0.00063749833 0.0014427594 0.008623004 0.00087236613 0.005569722 0.002650651 0.00097302377 0.00090591866 0.00093947124 0.0015098645 0.0007717085 0.0037243322 0.00087236613 0.011307207 0.0041269627 0.003590122 0.003523017 0.003523017 0.0036236746 0.042544626 0.0018789425 0.0027513085 0.022010468 0.0019796 0.0012749967 0.0010736814 0.00036907798 0.0005703932 0.00097302377 0.0020131527 0.0005703932 0.0013756542 0.0021473628 0.001912495 0.00073815597 0.0016440746 0.08482083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018450055 0.0 6.975447e-05 0.010288783 0.00036621094 0.00036621094 0.0058768135 0.00029645648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03744071 0.0 0.00057547435 0.016339984 0.0017613003 0.0020228794 0.011387416 0.0019008091 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.080671035 0.00059291295 0.0012904576 0.005493164 0.003592355 0.0027204242 0.00516183 0.002546038 0.0017438616 0.00047084264 0.0010986328 0.0008719308 0.0013078962 0.0077950615 0.031023297 0.032191686 0.07850865 0.003452846 0.004307338 0.0016217913 0.0065743583 0.0037493024 0.0032087055 0.0019182478 0.004167829 0.0014822824 0.0013253348 0.0017613003 0.007638114 0.0051095146 0.023908343 0.029837472 0.049316406 0.0014299665 0.0035574776 0.004045759 0.015154158 0.0058070594 0.008666992 0.0054234094 0.00163923 0.0004185268 0.00034877233 0.00059291295 0.0009416853 0.0019705635 0.0021623883 0.00566755 0.007045201 0.0043247766 0.0 0.00012207031 0.0001046317 1.7438617e-05 0.0 0.00069754466 0.0002092634 0.0013950893 0.00012207031 0.00027901787 0.0014125279 0.0027727399 0.008701869 0.008510045 0.055908203 0.011666434 0.010341099 0.0057024276 0.0044294083 0.0027553013 0.002999442 0.0034354073 0.010253906 0.0036969867 0.005301339 0.0060163224 0.009591239 0.00566755 0.011178153 0.029628208 0.034232 0.0058768135 0.0056501115 0.0076555526 0.0066441125 0.007254464 0.00327846 0.0031738281 0.021780832 0.0019705635 0.0021449497 0.0043945312 0.009817941 0.0031215122 0.008841379 0.01702009 0.015014648 0.0034354073 0.0025111607 0.0034354073 0.0044294083 0.00327846 0.0021275112 0.0017787388 0.010009766 0.0014474051 0.00113351 0.0031738281 0.0052839005 0.0020054409 0.004045759 0.00831822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 26.86111 967.0 0.045501553 0.0010341262 0.011375388 0.0 0.006204757 0.0 0.0010341262 0.0 0.0010341262 0.0 0.0 0.0 0.0 0.0051706308 0.012409514 0.006204757 0.0010341262 0.0020682523 0.0041365046 0.007238883 0.0020682523 0.0020682523 0.0010341262 0.0 0.0 0.0 0.0041365046 0.0 0.011375388 0.0051706308 0.011375388 0.0 0.0031023785 0.054808687 0.0 0.0051706308 0.09927611 0.007238883 0.0010341262 0.05067218 0.0051706308 0.055842813 0.0 0.0010341262 0.0051706308 0.0031023785 0.049638055 0.0031023785 0.055842813 0.0010341262 0.0031023785 0.0031023785 0.0020682523 0.0010341262 0.0020682523 0.0031023785 0.049638055 0.0 0.0 0.0010341262 0.0020682523 0.0 0.0 0.0 0.0031023785 0.024819028 0.0041365046 0.018614272 0.01344364 0.052740436 0.006204757 0.0031023785 0.0041365046 0.020682523 0.0020682523 0.0010341262 0.025853153 0.015511893 0.023784902 0.023784902 0.007238883 0.0051706308 0.025853153 0.036194414 0.03205791 0.017580144 0.009307136 0.0 0.007238883 0.0051706308 0.0010341262 0.0 0.0 0.0 0.0 0.0 5.1652355 0.0 0.0 0.0 1.0 29804.0 32768.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1399416600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 7168.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 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 6.658019 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3715954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4123993 0.0 4.5443015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6868.0 0.0 10884.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 14200.0 10884.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12288.0 0.0 0.0 0.0 0.0


Input: 0.31647137 0.026822917 0.012955729 0.011523438 0.0064453124 0.004296875 0.0063802083 0.004361979 0.005924479 0.010481771 0.0048177084 0.0044270833 0.0013020834 0.003059896 0.0026041667 0.0010416667 0.0037760416 0.007747396 0.00071614585 0.0024739583 0.0016276041 0.0013020834 0.0017578125 0.001953125 0.003125 0.0014322917 0.00071614585 0.0014973958 0.003059896 0.0014322917 0.0013020834 0.0014322917 0.005924479 0.004036458 0.0036458333 0.004231771 0.0014973958 0.0024088542 0.002734375 0.00052083336 0.0044921874 0.0009765625 0.0046875 0.0006510417 0.0018229167 0.00026041668 0.020442707 0.00052083336 0.0044921874 0.0015625 0.001171875 0.0008463542 0.0011067708 0.000390625 0.000390625 0.00091145834 0.000390625 0.00078125 0.00052083336 0.0001953125 0.0016276041 0.00013020834 0.0020833334 0.0001953125 0.0011067708 0.0070963544 0.0048828125 0.0029296875 0.0018880208 0.008528646 0.003125 0.0011067708 0.0010416667 0.0071614585 0.0008463542 6.510417e-05 0.00052083336 0.006119792 0.0028645834 0.00091145834 0.004361979 0.00026041668 0.0029296875 0.004361979 0.0046223956 0.012630208 0.0014973958 0.0014322917 0.00045572917 0.00013020834 0.000390625 0.007747396 0.00045572917 0.00026041668 6.510417e-05 0.004296875 0.0009765625 0.015950521 0.0053385417 0.0071614585 0.013802083 0.046614584 0.0017578125 0.014257813 0.003125 0.03860677 0.00026041668 0.0033203126 0.015950521 0.0052734376 0.041666668 0.0152994795 0.0048828125 0.00091145834 0.021744791 0.012630208 0.03515625 0.012174479 0.003059896 0.0010416667 0.0013671875 0.011588542 0.0016276041 0.00045572917 0.00013020834 0.0017578125 0.00026041668 6.510417e-05 0.0018880208 0.001171875 0.00026041668 0.00045572917 0.00026041668 0.00013020834 0.0033854167 0.000390625 0.00026041668 6.510417e-05 0.00013020834 0.00026041668 0.00013020834 6.510417e-05 6.510417e-05 0.0 0.0001953125 0.00013020834 0.0018880208 6.510417e-05 0.00026041668 6.510417e-05 6.510417e-05 0.0 6.510417e-05 0.0 0.00013020834 0.00013020834 6.510417e-05 0.0005859375 0.0 0.00013020834 0.0009765625 0.00052083336 6.510417e-05 0.0005859375 6.510417e-05 0.0017578125 6.510417e-05 0.0001953125 6.510417e-05 0.00013020834 0.00026041668 6.510417e-05 6.510417e-05 0.00026041668 0.0 0.0 0.00026041668 6.510417e-05 6.510417e-05 0.0 0.0001953125 6.510417e-05 0.00013020834 0.00013020834 0.0001953125 0.00013020834 0.0001953125 0.00013020834 0.0001953125 0.0001953125 0.0 0.00013020834 0.00052083336 0.0005859375 0.00045572917 0.000390625 0.00013020834 6.510417e-05 6.510417e-05 0.00013020834 0.0 0.00013020834 6.510417e-05 6.510417e-05 0.0001953125 0.00032552084 6.510417e-05 0.00013020834 0.0 0.0 6.510417e-05 0.0001953125 0.00013020834 0.0016276041 0.00013020834 0.0 0.00013020834 6.510417e-05 0.0001953125 0.0001953125 0.00013020834 0.00013020834 0.00013020834 6.510417e-05 0.000390625 0.00032552084 6.510417e-05 0.0005859375 0.00013020834 6.510417e-05 0.00071614585 0.00026041668 0.0 0.0001953125 6.510417e-05 0.0 0.00013020834 0.0001953125 0.0 0.00013020834 0.00013020834 6.510417e-05 0.0 0.0001953125 0.00013020834 6.510417e-05 0.00032552084 0.00013020834 0.00013020834 0.00013020834 0.00013020834 6.510417e-05 0.0001953125 6.510417e-05 6.510417e-05 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05845424 0.00017438616 0.0009416853 0.00052315847 0.0013950893 0.0010114397 0.0063825333 0.0021972656 0.0001046317 0.0 0.0 6.975447e-05 0.0 0.0 3.4877234e-05 0.00013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050711494 0.002999442 0.0068359375 0.0017438616 0.0012904576 0.000906808 0.0014299665 0.0038364956 0.0004185268 6.975447e-05 0.00038364955 0.00017438616 0.00027901787 3.4877234e-05 0.0001046317 0.0002092634 0.0030343193 0.0 0.00013950893 0.0011160715 0.0068359375 0.0042201453 0.03644671 0.019635882 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.092633925 0.009277344 0.0119280135 0.0032435826 0.0025111607 0.0055803573 0.0009765625 0.0031040737 0.005231585 0.000906808 0.002859933 0.00062779017 0.0007324219 0.001499721 0.0010811941 0.0006626674 0.13225447 0.014578683 0.03072684 0.008126395 0.034702845 0.027936663 0.16768973 0.07484654 0.0023018974 0.0009765625 0.0007324219 0.0008370536 0.0009765625 0.0014299665 0.0010463169 0.0008370536 0.05873326 0.009870256 0.009137834 0.0026855469 0.0059640068 0.00882394 0.028878348 0.010114397 0.0012555803 0.0020577568 0.0014299665 0.00038364955 0.001499721 0.000453404 0.0011858259 0.00038364955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257.0 23.953308 6156.0 0.002111761 0.0050357375 0.00048732944 0.00048732944 0.0009746589 0.00016244315 0.0003248863 0.0 0.00016244315 0.0 0.00016244315 0.0 0.00016244315 0.0 0.02891488 0.0 0.007634828 0.0025990903 0.0019493178 0.0006497726 0.0006497726 0.0006497726 0.0003248863 0.00081221573 0.0003248863 0.0003248863 0.0 0.0 0.003411306 0.0 0.003411306 0.0 0.00016244315 0.016081871 0.0116959065 0.0051981807 0.0035737492 0.020305393 0.0063352827 0.002111761 0.0012995452 0.016081871 0.0003248863 0.0 0.00048732944 0.012020793 0.00568551 0.0016244315 0.008122157 0.0003248863 0.004385965 0.009584146 0.008934373 0.02274204 0.0009746589 0.0029239766 0.00016244315 0.0 0.0 0.0 0.0 0.0 0.0 0.010071475 0.0003248863 0.033950616 0.012833009 0.014944769 0.032326184 0.11013645 0.0035737492 0.033950616 0.0061728396 0.09291748 0.00016244315 0.007959714 0.03671215 0.010721248 0.09779077 0.034762833 0.0082846 0.0012995452 0.047758285 0.027940221 0.08398311 0.029077323 0.00568551 0.0025990903 0.0027615335 0.027452892 0.0009746589 0.0 0.0 0.0 0.0 0.0 4.8677845 0.0 0.0 0.0 1.0 15360.0 40960.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 13312.0 512.0 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 -13312.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.534427 0.0 2.6624353 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 -12932.0 0.0 1024.0 0.0 0.0 0.0 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 87.0 21028.0 1024.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.020909451 0.0044763163 0.0039807474 0.0039264937 0.004368619 0.0038317528 0.0036576558 0.004028523 0.0043410873 0.0038333721 0.00390625 0.0036544167 0.0038803378 0.0037070506 0.0037669723 0.0042690197 0.0040989714 0.0039264937 0.0037993626 0.0036827582 0.0038236552 0.0036608947 0.0036608947 0.003630124 0.0037702115 0.0036584656 0.0037119093 0.0036681825 0.0037119093 0.0038001724 0.0037167678 0.003867382 0.0051589385 0.0036770897 0.0040220446 0.0036900458 0.0039183963 0.003791265 0.0035280953 0.0037046215 0.003685997 0.003686807 0.0037143384 0.0037459189 0.0037928845 0.0036463193 0.0039208257 0.0036908556 0.0037904552 0.003877099 0.0037434895 0.0039175865 0.0036398412 0.0036746606 0.0037855967 0.0036552264 0.0036989532 0.003804221 0.0036309338 0.0040220446 0.003647129 0.003761304 0.0037013823 0.0036114997 0.004414775 0.003984796 0.0037329628 0.003702192 0.004056054 0.004141888 0.0038447087 0.0037791186 0.003669802 0.00370948 0.0035693927 0.003627695 0.0038196065 0.0038050308 0.0037734504 0.0036924751 0.003983177 0.0037329628 0.0038212258 0.0037345823 0.0036220266 0.0040422888 0.0038973426 0.0039224452 0.0036552264 0.0039078696 0.0037167678 0.0036584656 0.0037839774 0.0038074602 0.0038382306 0.003890055 0.0037078604 0.00403743 0.0036681825 0.0038884354 0.0040171864 0.0045678183 0.0037758797 0.0037831676 0.00393864 0.0041532246 0.0037823578 0.0035863975 0.0039175865 0.0038260843 0.004105449 0.0040762983 0.003948357 0.0035969242 0.0041451273 0.0039856057 0.0045516235 0.004377526 0.0038876256 0.0040617227 0.003797743 0.0037442993 0.0035855877 0.0036908556 0.0039313524 0.003752397 0.0036455095 0.00390625 0.0041669905 0.0038746695 0.0038414698 0.004236629 0.0038390404 0.0038868159 0.0036430801 0.0039410694 0.0041435077 0.0041167857 0.0038026015 0.0047054766 0.0036746606 0.003995323 0.0036382216 0.0036689923 0.0037710213 0.0036017827 0.003620407 0.0036527973 0.0036382216 0.0036179777 0.003712719 0.0036495582 0.0036641338 0.0036228364 0.0035928756 0.0036916654 0.0037070506 0.0036965238 0.0037491578 0.0036738508 0.0037078604 0.0037013823 0.0036738508 0.0036762801 0.0036317436 0.0036625143 0.003604212 0.0036220266 0.003732153 0.0036349827 0.003879528 0.0036309338 0.0035313342 0.0036446997 0.0036714214 0.003768592 0.0038600941 0.0036916654 0.0036981434 0.0036811386 0.0038293235 0.0036981434 0.0036098803 0.0037329628 0.0038398502 0.0036673727 0.0035888266 0.0039337818 0.0037807382 0.0037758797 0.0038625232 0.0037928845 0.0040989714 0.0037515871 0.00377507 0.0041305516 0.0040447176 0.0035928756 0.0037823578 0.0038430893 0.0036584656 0.0036479386 0.0037005728 0.0036722312 0.0040665814 0.0037580652 0.003804221 0.003837421 0.003834182 0.0036212169 0.003706241 0.0036787093 0.0037110995 0.0036681825 0.003656846 0.0037540165 0.0039548352 0.0036511777 0.0035110903 0.0037734504 0.0038066504 0.003784787 0.0036657532 0.0039354013 0.0038131285 0.0037936943 0.0038843867 0.0037475384 0.0038163674 0.003673041 0.0037774993 0.0038163674 0.004236629 0.0037629236 0.0036374119 0.0037305336 0.003863333 0.0037580652 0.0037208165 0.003915967 0.003942689 0.0038260843 0.0036414606 0.003695714 0.0037345823 0.0036876167 0.0038317528 0.0040042303 0.0041354103 0.0037078604 0.0036066412 0.0038706209 0.0039993715 0.0038196065 0.003856855 0.010318686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020053973 4.4978606e-05 3.039095e-05 1.0940742e-05 0.0001025188 2.3502334e-05 2.431276e-05 3.2822227e-05 3.5253503e-05 8.1042535e-06 1.7018932e-05 3.2417014e-05 4.2952543e-05 1.2966805e-05 2.593361e-05 4.0116054e-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 0.0011467518 2.5123185e-05 2.8364886e-05 2.6744035e-05 4.0521268e-06 2.8364886e-05 2.3907547e-05 1.8639783e-05 5.0651583e-05 2.4717972e-05 1.4182443e-05 1.7424145e-05 1.4992868e-05 1.9044995e-05 4.8220307e-05 0.00016856847 0.0011268964 4.3357755e-05 0.00039224586 5.7540197e-05 0.00016249028 9.076764e-05 0.0008120462 0.0003363265 3.808999e-05 2.2286697e-05 4.3357755e-05 8.914679e-06 2.269191e-05 2.3907547e-05 2.7959673e-05 0.000110623056 0.0028247375 0.00011143348 0.0002974261 0.000112243906 0.00017221538 0.00018639783 0.00080596795 0.00042304202 0.00010332923 4.862552e-05 0.00010819178 5.470371e-05 9.238849e-05 8.874157e-05 2.755446e-05 0.0003521298 0.002326731 8.347381e-05 0.00038859894 0.00027959674 0.0002492058 0.00024393802 0.0007524799 0.0004736936 0.00016735283 0.00010657093 0.00017018932 0.00010170838 0.00010778657 0.00015843815 9.1983275e-05 0.00093725685 0.0032445376 0.0003039095 0.00047936657 0.00039832405 0.00037320086 0.00039872926 0.0011949721 0.000786923 0.0004862552 0.00027068207 0.00027108728 0.000339163 0.00040764394 0.00032133365 0.00020665846 0.0029653462 0.0019450207 0.00013817752 0.0002848645 0.00017059453 0.00021476271 0.00022975558 0.00034078385 0.00034767247 0.00023016079 0.00013939316 0.00026136218 0.00025731005 0.00030836684 0.00034159428 0.00018072485 0.0012484601 0.0035237293 0.0005089471 0.00085459347 0.0004672102 0.0010892117 0.0009757521 0.0006892667 0.0008562143 0.0017983337 0.00023259207 0.00023502334 0.0004514069 0.0010316714 0.00037684778 0.0006645488 0.0011824105 0.0032862746 0.0007464017 0.00062807964 0.0007334349 0.00111474 0.0011289224 0.0006880511 0.0010794866 0.0017841513 0.00028891664 0.00025812048 0.00040480745 0.0011252755 0.00048544476 0.0010191099 0.0018262934 0.058827963 0.058224197 0.057995252 0.057690937 0.05777117 0.057714842 0.057454698 0.058239188 0.058528107 0.05756694 0.057427548 0.058422346 0.05805806 0.057934064 0.058703564 0.058901712 5095.0 7.364671 37523.0 0.03475202 0.007808544 0.0079417955 0.0065826294 0.006822482 0.008821256 0.0063161263 0.0075420407 0.008128348 0.008341551 0.0069823842 0.008474802 0.009727367 0.009540815 0.00916771 0.007755243 0.009354263 0.009567466 0.00828825 0.007355489 0.007781894 0.006529329 0.008554753 0.0070889853 0.0068757827 0.0068757827 0.006396077 0.0074087894 0.0071156356 0.007861845 0.008501452 0.0064493776 0.007755243 0.011139834 0.0082616 0.009620766 0.012685553 0.0124457 0.009460864 0.009780668 0.009407563 0.013058658 0.007995096 0.007915146 0.012152546 0.009540815 0.010393625 0.009674067 0.011166484 0.008688005 0.010553528 0.012392399 0.0099139195 0.0097007165 0.012312449 0.012072596 0.008714655 0.008741305 0.008128348 0.008661354 0.008608053 0.0075953417 0.008101698 0.0079417955 0.0070090345 0.019401433 0.01241905 0.014231271 0.015883591 0.031953733 0.010207073 0.009514165 0.010473576 0.01988114 0.0071156356 0.008181648 0.015457186 0.014177971 0.020947153 0.018921727 0.011806092 0.00748874 0.020094343 0.016043494 0.02241292 0.015190683 0.009007809 0.009007809 0.008688005 0.009327613 0.0075420407 0.00746209 0.0068757827 0.0071422863 0.006955734 0.007888495 6.464468 2.0 1.0 0.0 20.0 1234944.0 1257472.0 0.0 1.0 72.0 0.0 1.0 0.0 0.0 0.0 1403691400.0 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 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 14.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 30208.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 1182720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.177984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8823295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.597222 0.0 7.9859524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16393.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30164.0 0.0 1182372.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 53184.0 120.0 51348.0 1182372.0 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 0.0 0.0 64.0 50576.0 0.0 0.0 308.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.0053947256 0.003908518 0.0038985228 0.003908518 0.0038821315 0.0039562923 0.003875735 0.0038691384 0.003909517 0.0039099166 0.003859144 0.0039017212 0.003836156 0.0038705377 0.0038779338 0.003916913 0.0038515478 0.0038653405 0.0038641412 0.0038355563 0.0038209641 0.0039199116 0.003862542 0.0039065187 0.0037961775 0.0038749354 0.003856745 0.003888728 0.0038463506 0.0038167664 0.0037973768 0.0039099166 0.0038069717 0.003888728 0.0038183655 0.0038893279 0.0038919265 0.0038673396 0.0038571449 0.0039131152 0.0037452045 0.003874136 0.0038265612 0.003881532 0.0038699382 0.0040032673 0.0038809322 0.003926308 0.003868539 0.0038241625 0.0038407536 0.0038433522 0.00388533 0.0038875288 0.003911116 0.0039327047 0.0038209641 0.0039478964 0.0039323047 0.0039141146 0.0038155671 0.0039093173 0.003948496 0.0039143143 0.004093819 0.003792979 0.0039033203 0.0038905272 0.0038747354 0.003957691 0.0039123157 0.0039027205 0.0038783336 0.003868339 0.0037825846 0.0038749354 0.0038939253 0.0038727366 0.0039367024 0.003858944 0.003969285 0.0038489492 0.003871937 0.0039145146 0.0038937253 0.0038841306 0.0039025208 0.0038529471 0.0038597435 0.003913515 0.003931505 0.003920311 0.0039237095 0.0038467504 0.0039023208 0.0039313054 0.003915114 0.003937902 0.0039093173 0.0038873288 0.0038811322 0.0038793331 0.0039017212 0.003925109 0.0039195116 0.003950895 0.0039215107 0.003907918 0.0039562923 0.003931905 0.003930106 0.003966687 0.0038695382 0.0038297595 0.0038993224 0.003896524 0.0039025208 0.003989075 0.0039109164 0.0039444985 0.0038293598 0.003875935 0.0039421 0.0039820783 0.003980479 0.003892526 0.004024256 0.004001268 0.003918712 0.0038833308 0.0039269077 0.0038379552 0.0039031205 0.0039181123 0.003877534 0.0039231097 0.003815767 0.0039381017 0.0038403538 0.0039355033 0.0038087708 0.0038809322 0.0038825313 0.003877534 0.0038635414 0.0038889279 0.0038417531 0.003871737 0.003830359 0.003921311 0.003886929 0.0039001221 0.003823363 0.003862342 0.0039179125 0.0038985228 0.0039093173 0.0039065187 0.0039195116 0.003925109 0.0038207644 0.0038707377 0.0038581444 0.003892726 0.0038735361 0.003849349 0.0038481497 0.0038839306 0.0038877286 0.0038333575 0.0039235097 0.003900522 0.003894925 0.0038529471 0.0038699382 0.0039025208 0.0038999221 0.0039089173 0.003868339 0.0039215107 0.0039051194 0.003918912 0.003975082 0.003975682 0.0038919265 0.0038729366 0.0038951247 0.0039428994 0.0038637414 0.0039492957 0.0039235097 0.004031252 0.0039057191 0.0038503485 0.003879533 0.0039345035 0.0038819318 0.003871937 0.0038807325 0.0038611428 0.0038497488 0.0038721368 0.0038365559 0.0038755352 0.0038523474 0.0039071185 0.0038835309 0.003958291 0.00388513 0.0038375554 0.0039093173 0.0039243093 0.0038047729 0.0038991226 0.003943699 0.0038977233 0.0039105164 0.0038705377 0.0038825313 0.0039273077 0.003947097 0.003920911 0.0039892746 0.004037649 0.0038897276 0.003932505 0.0038379552 0.0039007217 0.003911316 0.0038817318 0.0039215107 0.0039776806 0.003965887 0.003913315 0.003879533 0.0039866758 0.003926708 0.0038809322 0.0039025208 0.003999869 0.0038833308 0.0038667398 0.0038931258 0.0039554923 0.0039616893 0.0039500953 0.003980479 0.003995871 0.004038648 0.0039466973 0.0039764815 0.00403525 0.0039670863 0.004020058 0.0039986693 0.0043107034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014166554 1.4996352e-06 2.6993434e-06 8.997812e-07 3.3991732e-06 1.7995624e-06 8.297982e-06 6.7983465e-06 6.4984197e-06 3.9990275e-07 1.9995137e-07 1.4996352e-06 5.998541e-07 9.9975686e-08 3.499149e-06 2.4893945e-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 0.00024074146 8.297982e-06 8.597909e-06 6.998298e-06 4.218974e-05 2.4693994e-05 0.00012796887 6.108514e-05 1.689589e-05 6.998298e-06 4.798833e-06 8.797861e-06 7.598152e-06 5.79859e-06 9.397714e-06 3.339188e-05 0.000283731 1.5596206e-05 1.6196062e-05 1.3596693e-05 3.149234e-05 2.6493557e-05 7.788106e-05 3.61912e-05 2.5393825e-05 7.398201e-06 6.298468e-06 8.198006e-06 1.6396012e-05 9.097787e-06 1.3196791e-05 2.709341e-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 0.00021984654 3.0192658e-05 2.2594504e-05 2.1594748e-05 3.2292148e-05 3.0892486e-05 3.9090493e-05 3.1792268e-05 4.3889326e-05 1.3996596e-05 1.5596206e-05 1.8795428e-05 2.9592804e-05 1.3296766e-05 2.2694481e-05 2.8093167e-05 0.00069883006 0.0001607609 0.000115971794 0.0001636602 0.0003375179 0.0002640358 0.00022594506 0.00025673755 0.00038690591 3.129239e-05 4.8488208e-05 5.8085872e-05 0.00018905402 0.000118371216 0.00016745928 0.00046238754 0.062112093 0.061501242 0.061779477 0.061998323 0.06184926 0.062020615 0.062247362 0.06237913 0.061696794 0.062113494 0.06189295 0.06265466 0.061867755 0.06244701 0.0624971 0.06320973 23253.0 5.6668816 131772.0 0.010389157 0.009986947 0.010305679 0.010282913 0.0106244115 0.009941414 0.00990347 0.009956592 0.010146313 0.010108369 0.0106244115 0.010191847 0.010495401 0.011026622 0.010540934 0.0105257565 0.010267735 0.010396746 0.00996418 0.010632001 0.010138724 0.010024891 0.010373979 0.01036639 0.010495401 0.010131136 0.010632001 0.010244968 0.009599915 0.010017303 0.010222202 0.010404334 0.009592326 0.010465045 0.010495401 0.010798955 0.010943145 0.010692712 0.010548524 0.010669945 0.010487813 0.010654767 0.010252558 0.009751692 0.010373979 0.010495401 0.0100704245 0.009653037 0.00976687 0.009933825 0.010540934 0.010723067 0.0104271015 0.01103421 0.010533346 0.010176669 0.010358801 0.010609234 0.010677534 0.01070789 0.0107003 0.010305679 0.009979358 0.009888292 0.01023738 0.0110797435 0.010199435 0.010214613 0.01103421 0.011512309 0.009690981 0.010480223 0.010336035 0.011497132 0.010290502 0.010260146 0.010890022 0.010715478 0.010776189 0.010920377 0.010442279 0.010654767 0.011330176 0.010692712 0.011390887 0.010396746 0.010533346 0.010214613 0.010396746 0.010313269 0.010404334 0.010465045 0.010715478 0.009865525 0.01023738 0.010540934 6.5839515 0.0 0.0 0.0 70.0 5002664.0 21295104.0 0.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 979049340.0 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 5.0 10.0 4.0 0.0 4.0 0.0 18944.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 21253120.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.015387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6385 0.0 0.0 7.9998646 0.0 0.0 0.0 0.0 0.0 -6.485464 0.0 3.155356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2642.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5845.0 0.0 0.0 21254144.0 0.0 0.0 0.0 0.0 0.0 -18870.0 0.0 1288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 50.0 27168.0 120.0 25004.0 1288.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 412.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.16602059 0.009109623 0.0061334325 0.0053335815 0.010365823 0.0037425596 0.0315749 0.0053720237 0.010064485 0.0030096725 0.0029774306 0.003654514 0.0058978177 0.0042125494 0.0034015377 0.0035243055 0.0049007935 0.0018638393 0.0019196429 0.0011991567 0.004708581 0.0033965774 0.0017113095 0.0020696924 0.002937748 0.0017423115 0.0019878473 0.0017348711 0.0029947916 0.0009610615 0.0011111111 0.002297867 0.00640501 0.0020684523 0.0019047619 0.0019940475 0.007930308 0.0011458333 0.0025124007 0.0012946428 0.002719494 0.0014806548 0.0014769345 0.0015724206 0.003187004 0.0017063492 0.0014806548 0.0012847222 0.0022829862 0.00171875 0.0019928075 0.0025347222 0.0024479167 0.0022879464 0.0010119048 0.0010119048 0.0026376487 0.0026934524 0.00091145834 0.00499752 0.0013876489 0.0016356647 0.001453373 0.001437252 0.003359375 0.0021217759 0.0019072421 0.0018415179 0.0048524304 0.012075893 0.013025793 0.006062748 0.0037537203 0.0018452381 0.0012363591 0.0014632937 0.0027752977 0.008957094 0.0017844742 0.0013157242 0.010745288 0.0033420138 0.0023871528 0.0048611113 0.0022817461 0.003329613 0.004888393 0.0036160715 0.0019828868 0.0030890377 0.0010342262 0.0025099206 0.0018886409 0.0028050595 0.0031349207 0.0021899801 0.0010801092 0.002375992 0.0012363591 0.0016542659 0.0031026786 0.0054017855 0.00296999 0.0025558036 0.0040885415 0.0028360614 0.0049875993 0.0008345734 0.0024702381 0.0010354663 0.0032589287 0.0026959325 0.0024615575 0.0017323908 0.0036061509 0.0034871032 0.008629712 0.011655506 0.0016158234 0.0021763393 0.0028062996 0.0011582341 0.00072544644 0.0010540675 0.0019568452 0.002016369 0.0013380456 0.0014595734 0.038691718 0.0018216766 0.0009933036 0.007865824 0.0039025298 0.005559276 0.000812252 0.0017162699 0.0038318452 0.011067708 0.0025037203 0.02547991 0.0035429068 0.018446181 0.0010838293 0.000796131 0.0036297124 0.0007142857 0.00075396826 0.0015203373 0.0033630952 0.00090897817 0.00067460316 0.00056795636 0.0012003968 0.0010379464 0.001171875 0.00065228174 0.0031175595 0.0007093254 0.0006981647 0.0005691964 0.0011396329 0.0019407242 0.0007514881 0.0006485615 0.0009771825 0.0024975198 0.0006696429 0.0014608135 0.0010751488 0.0007775298 0.0010119048 0.00069692463 0.0011532739 0.0019779266 0.00065848214 0.00051959325 0.0012251984 0.0017596727 0.00054191466 0.0006770833 0.00096230156 0.002204861 0.0006262401 0.0007366071 0.0040215775 0.00063988095 0.0006894841 0.00082093256 0.001281002 0.002532242 0.0011309524 0.0007564484 0.0054761907 0.0020746528 0.0023834326 0.0034337798 0.0027492559 0.0006138393 0.0077095735 0.003565228 0.0026587301 0.0025173612 0.0007279266 0.002046131 0.003374256 0.0005766369 0.0049739582 0.0013070436 0.0012710814 0.0010181052 0.0010677084 0.0010329861 0.00094742066 0.00075396826 0.0042137895 0.0012586806 0.0026587301 0.0008308532 0.00047619047 0.0010850695 0.0015451389 0.0009263393 0.0034412201 0.0013430059 0.0017708334 0.0011532739 0.0005815972 0.0011941964 0.0017001488 0.0011024305 0.0008779762 0.00359251 0.014794147 0.004952877 0.00072544644 0.0036458333 0.004244792 0.0006423611 0.00057291664 0.0030530754 0.0042435518 0.0014248512 0.0006485615 0.0012127976 0.0016083829 0.0017609127 0.0013616071 0.0049131946 0.0021502976 0.0013120039 0.0016728671 0.0015190972 0.009267113 0.0025694445 0.004623016 0.059615575 0.011391366 2.4848919e-06 2.4848919e-06 6.2122294e-06 9.9395675e-06 3.7273378e-06 1.8636689e-06 0.0 2.1121581e-05 1.2424459e-06 6.2122297e-07 2.4848919e-06 0.0 0.0 0.0 6.8334525e-06 0.002420906 7.4546756e-06 1.2424459e-06 1.2424459e-06 1.3045682e-05 1.8636689e-06 6.2122297e-07 2.4848919e-06 1.5530573e-05 3.7273378e-06 1.8636689e-06 1.2424459e-06 1.1182014e-05 6.8334525e-06 1.1803237e-05 4.348561e-05 0.0022326754 2.298525e-05 2.2364027e-05 3.7273378e-06 1.8015466e-05 1.2424459e-06 3.1061147e-06 6.2122297e-07 0.0002161856 6.2122297e-07 1.8636689e-06 4.9697837e-06 1.8636689e-06 6.2122297e-07 2.4848919e-06 1.1182014e-05 0.0076677552 2.4227696e-05 2.1121581e-05 1.6151796e-05 1.1803237e-05 2.1742804e-05 1.7394243e-05 6.2122294e-06 0.008533118 1.6151796e-05 3.2924818e-05 7.081942e-05 9.9395675e-06 6.8334525e-06 6.0258626e-05 2.298525e-05 0.002577454 9.9395675e-06 1.05607905e-05 6.8334525e-06 9.9395675e-06 6.8334525e-06 1.8015466e-05 1.4288128e-05 0.0023469804 4.1000716e-05 1.3045682e-05 8.697121e-06 6.2122294e-06 6.8334525e-06 6.2122294e-06 6.2122294e-06 0.0024035117 7.6410426e-05 0.000103744234 0.00037149133 4.9697837e-06 0.000105607905 3.7273378e-06 1.2424459e-06 0.0015915732 7.827409e-05 2.2364027e-05 1.677302e-05 1.1182014e-05 2.4227696e-05 3.7273378e-06 0.00027023198 0.0039323415 0.0002652622 0.00088586396 0.00048082657 9.007733e-05 1.677302e-05 5.901618e-05 0.0012368549 0.0026985926 0.000114926246 4.7212947e-05 8.200143e-05 3.4788485e-05 7.4546755e-05 0.00010063812 0.0026029241 0.052297033 0.0020823395 0.0058575114 0.0019264125 0.0047374466 0.0014201157 0.0072925366 0.0042485436 0.0030297043 0.001052973 0.0003304906 0.00038018846 0.0003919917 0.00039820393 0.00047399313 0.0044113044 0.023020038 0.00088027294 0.0018425473 0.0009274859 0.0023252375 0.001052973 0.0030992813 0.0018910028 0.0017400455 0.00039447658 0.00035409708 0.00037770357 0.0002379284 0.00041621938 0.00050070573 0.0016524531 0.019803345 0.0006218442 0.0017717279 0.0013809786 0.0033415584 0.002568757 0.006418476 0.004090132 0.0028830958 0.00047772046 0.00060693483 0.00039571902 0.0004460381 0.00051250897 0.0004435532 0.0025836662 0.010156996 0.0001379115 0.00021991292 0.00031806616 0.00041435572 0.0002863838 0.00048766003 0.0004137345 0.006188623 0.0016971811 0.0014511768 0.0015449815 0.0015021171 0.0016158009 0.0014896927 0.0038820223 0.011863495 0.00042553773 0.0012772344 0.0009809111 0.0010188057 0.0011809448 0.001103292 0.0007336643 0.011797645 0.0025917422 0.0026563494 0.0030502048 0.0050971345 0.004563504 0.0033695134 0.00808646 0.010591852 0.001504602 0.0025227864 0.0025321047 0.004021176 0.002707911 0.0014493131 0.001908397 0.0087791225 0.001529451 0.0014107974 0.0013505387 0.003109842 0.0019469127 0.0036683215 0.009491044 0.063679084 0.015144794 0.010898735 0.011073921 0.028498603 0.023663625 0.010818598 0.016522666 0.044542927 0.005246228 0.0044759116 0.0058854665 0.018440383 0.006406051 0.01907962 0.040050864 0.046896122 0.013566267 0.011715023 0.009551925 0.020381084 0.018614326 0.009327663 0.014493132 0.03148855 0.0055903853 0.004159088 0.005215788 0.014652786 0.0056264163 0.013277398 0.024807917 0.0034080292 0.0028271857 0.00292596 0.002797367 0.0032446475 0.0024066179 0.0022525545 0.0022357814 0.0024830282 0.002476816 0.0024215272 0.002254418 0.0023184041 0.002301631 0.0021966444 0.0021618558 3748.0 12.556563 47062.0 0.019123709 0.022310995 0.018613743 0.010475543 0.011729208 0.0013599083 0.030194212 0.012239174 0.010135566 0.0053546387 0.016063916 0.007458247 0.020823594 0.01585143 0.007861969 0.008371935 0.004547193 0.010645531 0.01629765 0.001954868 0.022544729 0.015022736 0.0051634014 0.0079682125 0.012494157 0.01347159 0.0025285792 0.007670732 0.0025285792 0.008945646 0.010305555 0.011877948 0.011176745 0.009243126 0.010390549 0.00533339 0.030980408 0.0071182693 0.008180697 0.010093069 0.022778463 0.012982873 0.004058476 0.011856699 0.008244444 0.009731843 0.0028473078 0.007139518 0.011367982 0.0064383154 0.0103693 0.0177638 0.0093493685 0.015447707 0.007691981 0.011091751 0.009264375 0.009455612 0.003527262 0.013599082 0.008414432 0.004547193 0.0020186137 0.0033147763 0.0008499426 0.0123454165 0.009391866 0.0069907783 0.0100505715 0.025222048 0.006162084 0.027623136 0.010709277 0.015638944 0.0029535505 0.0016361396 0.009285623 0.0042709615 0.01585143 0.016425142 0.006608304 0.00607709 0.01793379 0.01245166 0.020313628 0.011325485 0.003676002 0.015383962 0.017891292 0.0040797247 0.0033572733 0.003081042 0.008626917 0.00070120266 0.0027623135 0.0025710764 6.3038063 4.0 0.0 0.0 4.0 806400.0 827392.0 0.0 0.0 337.0 0.0 1.0 0.0 0.0 0.0 1313986200.0 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 -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 6.0 0.0 4.0 0.0 5.0 0.0 415744.0 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 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -415744.0 0.0 297472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.465001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2963371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5825715 0.0 6.4024267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -415299.0 0.0 297120.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 2.0 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 1.0 1.0 1.0 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 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 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 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -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 0.0 260.0 472488.0 297120.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1416.0 421888.0 0.0 0.0 0.0 0.0