Input: 0.43833843 0.0054688994 0.0038502545 0.0051486045 0.003877879 0.0019045955 0.0013827169 0.0011833728 0.006169217 0.001104979 0.0012035312 0.0010273318 0.0025093476 0.0008683044 0.00069957116 0.002734823 0.0027587144 0.00062715024 0.00078916404 0.0007899107 0.0013633051 0.001515613 0.00055547594 0.0012102507 0.0018986226 0.0013371739 0.0013162689 0.001310296 0.0020359985 0.002539212 0.00065701455 0.000646562 0.0027355696 0.00046065677 0.00057787413 0.0005427836 0.0030095745 0.0009295262 0.000500227 0.00054054376 0.0013446399 0.0008347071 0.00076079293 0.0014267667 0.0025332388 0.0011191645 0.0008802501 0.0007212228 0.0032141448 0.0018463602 0.0018530797 0.00558985 0.0020531705 0.0015051606 0.0018717448 0.0017664732 0.0026325379 0.0016522423 0.0015768348 0.0022614738 0.0020038944 0.0017993238 0.0012468344 0.0012289158 0.0039010237 0.0017321293 0.0016514956 0.0020016546 0.003286566 0.016408937 0.0032932854 0.0011161781 0.0013550925 0.0012431013 0.00073988794 0.0007704989 0.001692559 0.002656429 0.00085038587 0.00080260297 0.007566866 0.0017567673 0.0010907934 0.00239437 0.0016156584 0.0072756894 0.0019165413 0.0013991423 0.0017455681 0.0030267464 0.0018508398 0.0015850476 0.001310296 0.0020382383 0.0011729202 0.0009362457 0.0010646621 0.0013207485 0.000705544 0.0009631236 0.0043176305 0.0023839176 0.0012849114 0.00081006903 0.004881319 0.0016567218 0.004269101 0.00074063457 0.00205989 0.0009750693 0.0015805679 0.001515613 0.0012990969 0.00062043074 0.0016626947 0.0012796851 0.0041698026 0.004455753 0.0010355444 0.00081081566 0.0012737123 0.00093101943 0.00057936733 0.0004711093 0.0012677393 0.0012386217 0.00077124545 0.00058310037 0.0022495282 0.0015932602 0.0005121727 0.00491417 0.0025631033 0.009258678 0.0005129193 0.0004815618 0.0012199566 0.0052344645 0.00085038587 0.024371507 0.001209504 0.016774029 0.00054726325 0.00049948035 0.0013715178 0.0004210866 0.0004957473 0.0004113807 0.0010228521 0.0023331481 0.00046662963 0.0004890279 0.001334934 0.0006756797 0.00046065677 0.00046961606 0.0011400696 0.0005509963 0.0004210866 0.00047558892 0.0009952277 0.0018702516 0.00032776064 0.0006689602 0.0012192099 0.00044124498 0.00041735356 0.0004218332 0.0009257932 0.00041810016 0.0004711093 0.00040764766 0.0011684406 0.00036807745 0.00044871107 0.00048753465 0.0013558391 0.0006353629 0.0005032134 0.0006838924 0.0010788477 0.00089368905 0.00043228568 0.00050470664 0.0042929924 0.0016992785 0.005092609 0.0005950461 0.0011535084 0.00074212777 0.00065178826 0.0005823538 0.0066918423 0.0008294808 0.0009466982 0.0038203902 0.0018463602 0.0004106341 0.001671654 0.0013558391 0.0017814053 0.0013244816 0.00043825855 0.0007257024 0.0012348887 0.00035613173 0.00054577005 0.0007197295 0.0016612015 0.00057638093 0.0012431013 0.0006510417 0.0013685314 0.0004330323 0.0006540281 0.00055696914 0.002696746 0.0005233718 0.00052113197 0.0013625586 0.0014984411 0.00050619984 0.00057936733 0.00042332642 0.0021674014 0.0005480098 0.00045617713 0.00074660743 0.001962831 0.0010527165 0.0004546839 0.00043975178 0.025163656 0.0017694596 0.0005636886 0.0023898904 0.0031327647 0.00051963876 0.00047558892 0.00046737623 0.003048398 0.00052934466 0.0006144579 0.0005636886 0.0027736465 0.00044796444 0.00084142655 0.0020031477 0.004267608 0.000764526 0.0023921302 0.005408424 0.009066801 0.005842203 0.006757544 0.068121955 0.34811428 0.0 0.0 2.9887146e-06 1.1207679e-06 3.7358933e-07 2.9887146e-06 3.7358932e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.5317162e-05 1.04605015e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 2.9887146e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 7.4717864e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020528734 2.6151252e-05 3.1381504e-05 6.3510183e-06 1.9053055e-05 1.2702037e-05 3.6985344e-05 1.75587e-05 2.0921003e-05 1.8679466e-06 1.4943573e-06 7.0981973e-06 1.1954859e-05 5.2302507e-06 2.6151254e-06 4.1094827e-05 0.0025250902 2.2788949e-05 3.362304e-05 1.718511e-05 0.00014868854 6.575172e-05 6.351018e-05 3.250227e-05 4.8566612e-06 1.6064341e-05 5.9774293e-06 2.0173824e-05 1.681152e-05 3.7358932e-06 2.9887146e-06 8.0695296e-05 0.0024204853 0.00011618628 4.8566613e-05 3.7358932e-05 5.6411987e-05 2.6151252e-05 4.5577897e-05 2.6524842e-05 2.6524842e-05 2.0921003e-05 1.4943573e-05 3.2128683e-05 3.1007916e-05 1.8679466e-05 1.2328448e-05 0.00012664679 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0010976054 5.566481e-05 5.566481e-05 2.6524842e-05 8.928785e-05 1.9426645e-05 2.3536128e-05 4.595149e-05 2.204177e-05 3.7358932e-06 8.218965e-06 4.1094827e-06 7.0981973e-06 8.592555e-06 3.287586e-05 2.9887146e-05 0.0033036503 0.00010348424 9.825399e-05 0.0003295058 0.000876067 0.00052638736 0.0023495033 0.0012518979 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.0027832405 0.00026113895 0.00044158258 0.0014039486 0.0021458971 0.0013367026 0.0019505098 0.0013408121 0.00013449216 4.968738e-05 5.7906345e-05 8.4057596e-05 7.808017e-05 5.4170454e-05 4.7072255e-05 7.247633e-05 0.0033014088 0.00011618628 0.00023835 0.0003676119 0.0008898898 0.0004755792 0.0006336075 0.0004158049 0.0006392113 0.00023311975 7.733299e-05 0.00012888832 0.00014794138 9.414451e-05 0.00024395384 0.0011783007 0.005737211 0.001066224 0.0012810378 0.013395045 0.0013482838 0.0011274926 0.0019456532 0.0015522636 0.0022325697 0.001109934 0.0011581269 0.0012765548 0.0011259982 0.0011401946 0.001721126 0.005628497 0.0121061625 0.001626608 0.0022138904 0.0021854977 0.0037134779 0.00257814 0.0022848723 0.0015993359 0.009068133 0.0019045584 0.0010411935 0.002280763 0.0019068 0.0012070672 0.003406761 0.01591117 0.04026284 0.0067257285 0.005767472 0.0058997227 0.014565874 0.012371037 0.008004525 0.006452635 0.028290799 0.0044345055 0.003241261 0.0073167467 0.008123326 0.005087913 0.016226105 0.044521015 0.049922742 0.0109592425 0.008432658 0.010156026 0.019277582 0.019818166 0.012770778 0.009343095 0.03193927 0.004482698 0.005197748 0.009452184 0.012893689 0.007366434 0.020286273 0.04543668 0.00042850696 0.00025105203 0.0002491841 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3809.0 14.817013 56438.0 0.01621248 0.0012402991 0.002321131 0.001523796 0.0024983168 0.0012580176 0.0017541373 0.0028172508 0.0055459086 0.004854885 0.0015415145 0.0059888726 0.0028704065 0.00196676 0.009922393 0.0070165494 0.01743506 0.017098408 0.019596726 0.017240157 0.013731883 0.012633332 0.015308835 0.015680924 0.015911266 0.014476062 0.010383075 0.015698643 0.010702009 0.012367554 0.009904674 0.0073709204 0.0031539034 0.0125624575 0.0061483397 0.010471668 0.011835997 0.011286722 0.009213651 0.0101350155 0.006219214 0.011517063 0.0049789147 0.006183777 0.008823842 0.008345441 0.00884156 0.0072468906 0.011463908 0.02703852 0.008664375 0.01743506 0.010648853 0.007477232 0.009284524 0.012278961 0.008522627 0.008434034 0.0070874235 0.0051915376 0.0044650766 0.0049789147 0.0047131367 0.004801729 0.0024805982 0.020943336 0.0072468906 0.014724122 0.01770084 0.045182325 0.009142776 0.010737446 0.012066338 0.02211276 0.0056876573 0.008983309 0.025886813 0.012190368 0.023264468 0.025000885 0.009408554 0.0045891064 0.02556788 0.018533612 0.030086111 0.012721925 0.009284524 0.00873525 0.007105142 0.010772884 0.0056876573 0.0028349694 0.001523796 0.003083029 0.001523796 0.00086820935 6.25085 0.0 0.0 0.0 68.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6340714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6649785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3516636 0.0 0.0 0.0 0.0 0.0 0.0 -3.8738468 6.7831097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6280.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.021277595 0.0034744195 0.0034028396 0.003483417 0.003405639 0.0035204065 0.0034032397 0.0035230059 0.0034244335 0.0034750192 0.0034414288 0.0036459712 0.0035130086 0.003533003 0.0035853882 0.0037535408 0.003412837 0.0034672215 0.0035461993 0.00357919 0.0035002122 0.0036209782 0.0035881875 0.003731947 0.0034544251 0.0035320034 0.0035062106 0.0036663653 0.003564194 0.003667765 0.0037195503 0.0037645376 0.0033672499 0.0034578242 0.003504011 0.0035595954 0.0035420004 0.003589587 0.0035354022 0.0037085535 0.0034474272 0.0036017837 0.003550998 0.0036729635 0.0035971848 0.0036895587 0.0036709642 0.0038029267 0.0034212344 0.0035733916 0.0035443997 0.0037047544 0.0035122088 0.003618379 0.0035927861 0.0038317186 0.0035871877 0.0036975564 0.00364977 0.0038439152 0.0037135521 0.0037865315 0.0037715356 0.0038983 0.0034352306 0.0034294322 0.0035849884 0.0036239773 0.0035132086 0.0037199503 0.0035443997 0.003709753 0.003536802 0.0036259769 0.0035773905 0.003621978 0.0035599954 0.003671164 0.0037281478 0.0037531408 0.0034468274 0.0036311753 0.0035723918 0.003713952 0.003511809 0.003696157 0.0036407725 0.003840916 0.0035304038 0.0036509696 0.0035889873 0.0037503417 0.0036581676 0.0037891306 0.003777734 0.003837917 0.0034206347 0.0035521975 0.0035430002 0.0036841603 0.0036237773 0.0038107247 0.005701991 0.0037539406 0.0035551968 0.0036877594 0.003717351 0.0037797333 0.0036813612 0.003845315 0.0037911301 0.003887703 0.0035885873 0.0036701644 0.0037129521 0.003812924 0.0037541406 0.003915295 0.0037693363 0.0038941011 0.0037355458 0.0038339181 0.0037817329 0.003855512 0.00375634 0.0038601106 0.0038193222 0.004064453 0.0034326313 0.0034632226 0.0035495984 0.003561195 0.0034950138 0.0036575678 0.0035176072 0.0036403728 0.0035212063 0.0036529691 0.003599984 0.0038461147 0.0035575961 0.0036769623 0.003706754 0.0037411442 0.0034648222 0.0035961852 0.003642372 0.0037037549 0.0036259769 0.003706754 0.0036589673 0.0038511131 0.0036297757 0.0037735351 0.0037373453 0.0038183224 0.0037933295 0.003865509 0.003858911 0.0039376887 0.0035264047 0.0036189787 0.00364957 0.0037497417 0.0037009555 0.003742344 0.0037407444 0.0038619102 0.003646371 0.003766737 0.003714152 0.0038311188 0.0037477424 0.0037945292 0.00382732 0.0040278635 0.0036275764 0.003716951 0.0037707358 0.0038515131 0.0037661372 0.0038187224 0.003926892 0.0039728787 0.0038263202 0.0039130957 0.0039414875 0.0039886744 0.004033662 0.0040978435 0.0040444587 0.004279992 0.003916695 0.0040140674 0.0041274354 0.0041468297 0.0041616256 0.004270195 0.004334177 0.0043885615 0.004301586 0.00435917 0.004427151 0.004420153 0.004511327 0.0044495445 0.0046336926 0.0046124985 0.0043321773 0.0042999866 0.004493332 0.0045273225 0.0044353483 0.0043333774 0.0045091277 0.0044849343 0.0043425746 0.0043213805 0.0043279785 0.0044309497 0.0044173533 0.00428919 0.004315782 0.004396159 0.004116638 0.004136033 0.0041620256 0.0039918735 0.0037091533 0.0037643376 0.003727948 0.003855312 0.0037707358 0.0037865315 0.0037443433 0.0038988998 0.0037961288 0.0038073256 0.0038843038 0.0039882744 0.0037189506 0.0037727354 0.0038415159 0.0038667088 0.0037907301 0.0038237209 0.003855312 0.00393349 0.003823521 0.0038595109 0.0038545122 0.0040132673 0.00396808 0.003928691 0.0040264637 0.015280488 0.0006102766 3.9998463e-07 0.0 2.9998847e-07 0.0 0.0 0.0 1.9999231e-07 1.0999578e-06 0.0 0.0 0.0 5.9997694e-07 0.0 3.9998463e-07 1.0999578e-06 0.00019879236 3.9998463e-07 0.0 2.9998847e-07 0.0 0.0 0.0 2.9998847e-07 8.999654e-07 0.0 0.0 0.0 7.9996926e-07 0.0 4.999808e-07 2.7998924e-06 0.0005603785 2.3999078e-06 1.1999539e-06 1.899927e-06 1.7999308e-06 1.9999231e-06 1.7999308e-06 1.4999424e-06 3.5998617e-06 0.0 1.9999231e-07 1.9999231e-07 2.6998964e-06 2.9998847e-07 1.9999231e-06 3.2398755e-05 0.00083436794 1.6999347e-06 1.0999578e-06 2.0999194e-06 9.999616e-07 6.999731e-07 0.00010729588 2.1999156e-06 2.6998964e-06 9.999616e-07 1.2999501e-06 1.1999539e-06 1.899927e-06 7.9996926e-07 1.899927e-06 6.269759e-05 0.00091556483 1.6999347e-06 5.9997694e-07 3.2998732e-06 1.899927e-06 1.3999462e-06 8.4296764e-05 1.899927e-06 2.499904e-06 2.9998848e-06 4.7998155e-06 2.8998886e-06 4.299835e-06 8.499674e-06 3.2998732e-06 0.00018879275 0.00030178842 9.999616e-08 1.9999231e-07 5.9997694e-07 0.0 0.0 6.7097426e-05 3.5998617e-06 4.1998387e-06 3.5998617e-06 2.5999002e-06 1.7999308e-06 0.0 0.0 1.9999231e-07 2.3799086e-05 0.0030008848 3.799854e-06 4.399831e-06 3.9998463e-06 9.699627e-06 3.2998732e-06 0.000390985 2.4499059e-05 2.1499174e-05 2.4899044e-05 2.0399217e-05 0.00039178497 1.0699589e-05 9.499635e-06 0.0005046806 0.0004899812 0.0017226338 8.199685e-06 1.4399447e-05 1.1899543e-05 7.899696e-06 9.499635e-06 0.00026908968 2.5099036e-05 1.4899428e-05 9.179647e-05 7.169725e-05 0.0001901927 0.002030222 0.00032448754 0.00066297455 0.00130315 0.004079643 3.2898737e-05 4.1798394e-05 2.5899006e-05 4.4598288e-05 3.099881e-05 0.0007792701 8.2696824e-05 6.5397486e-05 0.0002582901 0.00080266915 0.0009470636 0.0042309375 0.0069336337 0.00033038732 0.0052744974 0.0043094344 2.889889e-05 4.4898276e-05 4.7998157e-05 7.339718e-05 3.5798625e-05 0.00076907047 0.00013419485 4.7798163e-05 0.00037868545 0.0005853775 0.00092656445 0.003463667 0.0024329065 0.00014989424 0.0031595787 0.00048098154 1.6499367e-05 1.1999539e-05 1.20995355e-05 3.6398604e-05 2.5899006e-05 0.00017269337 0.00010189609 3.1298798e-05 4.3798318e-05 5.8997735e-05 9.939618e-05 0.00034798664 0.00025199034 6.6997427e-06 0.0003492866 0.00046568213 1.5699397e-05 1.5199416e-05 2.0199224e-05 3.2898737e-05 2.2299144e-05 5.3997926e-05 4.529826e-05 5.1998002e-05 3.5698627e-05 4.1298415e-05 4.869813e-05 0.00014849429 0.00019059268 4.5798242e-05 0.00019969234 0.00012269529 5.399793e-06 6.399754e-06 5.1998004e-06 2.9998848e-06 4.7998155e-06 2.3699089e-05 1.5999385e-05 1.689935e-05 2.1599171e-05 2.7698936e-05 3.699858e-05 0.00013389486 6.4597516e-05 1.2699512e-05 0.00011279567 0.0005485789 9.409639e-05 4.6598212e-05 7.499712e-05 0.00014609439 0.00011259568 7.269721e-05 0.0001197954 0.00019349257 3.5698627e-05 3.749856e-05 3.409869e-05 0.000117395495 8.8396606e-05 0.00012399524 0.00020189225 0.001224553 0.0003331872 0.00024879046 0.00024629055 0.00039458484 0.00028198917 0.0002291912 0.00033398718 0.00046558212 0.00010659591 0.00011069575 0.000104795974 0.00025089036 0.00013359488 0.0002754894 0.00037958543 0.05441531 0.05678052 0.056864016 0.058294963 0.056885816 0.058110267 0.058016773 0.059932597 0.056700923 0.058664847 0.058186665 0.059796702 0.05833816 0.059821703 0.060024995 0.061584335 28379.0 5.8833995 166965.0 0.0090018865 0.009534933 0.010157817 0.009271404 0.009756536 0.010193753 0.009780493 0.009660708 0.009199533 0.009834397 0.010367442 0.010050011 0.0100440215 0.009954182 0.010774713 0.010175785 0.009397179 0.009948193 0.009948193 0.010313539 0.010265624 0.010421346 0.009960171 0.010547121 0.010151829 0.010103914 0.010319528 0.010762734 0.010990327 0.010235678 0.010684874 0.010235678 0.00822328 0.009822418 0.009870332 0.0099901175 0.009750547 0.010421346 0.009978139 0.01046327 0.0096906535 0.010487228 0.0099901175 0.009948193 0.010199742 0.010079957 0.010852573 0.010181774 0.009235469 0.010103914 0.010708831 0.010547121 0.010109903 0.010565088 0.010403378 0.01063696 0.009930225 0.01072081 0.010654927 0.010744767 0.01072081 0.01079867 0.010541132 0.010061989 0.00914563 0.010816638 0.0103434855 0.010229689 0.010990327 0.01370946 0.01770431 0.010151829 0.010349475 0.011649148 0.010822628 0.010073967 0.011942622 0.011032253 0.011738988 0.011625191 0.0099901175 0.010181774 0.011768933 0.011164016 0.012122301 0.010618992 0.0102237 0.010205732 0.010103914 0.010744767 0.010618992 0.009870332 0.010648939 0.009864342 0.010367442 0.010702842 6.578629 0.0 1.0 0.0 70.0 5001411.0 561152.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 295424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 4.7220516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 295024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 295024.0 262144.0 0.0 0.0 6088.0 124653380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.12146803 0.010417262 0.0070550106 0.008066188 0.007314058 0.0059902384 0.0033515322 0.0037838726 0.012091242 0.0022045793 0.002011634 0.0016436086 0.0064922534 0.0033032957 0.0015417762 0.0085914275 0.007567745 0.0016132374 0.001298808 0.0018258346 0.0057758545 0.0023546477 0.0012202007 0.0011951892 0.0038160302 0.0017543734 0.001180897 0.0012237737 0.0032121828 0.001180897 0.0010611993 0.0013666962 0.004482406 0.0010183227 0.0015221244 0.0011398068 0.019051567 0.002422536 0.0010201092 0.0010862108 0.00219386 0.0013631232 0.00100939 0.0051791533 0.0017257889 0.0011666047 0.0010844243 0.000952221 0.0038731992 0.0022599618 0.0022045793 0.006267151 0.002788775 0.00474324 0.0022617483 0.002304625 0.0032425537 0.0031746656 0.0024207495 0.0049415445 0.0026869427 0.0023796593 0.0021134662 0.0021759947 0.0043198317 0.002311771 0.001786531 0.001900869 0.010349374 0.020507589 0.003112137 0.013300723 0.002826292 0.0014506632 0.0014685285 0.0012023353 0.0043305513 0.007081809 0.0015900126 0.0012809427 0.0065780072 0.0032175423 0.0013416847 0.003054968 0.0026887292 0.0044395295 0.0033979819 0.0030371028 0.0023385691 0.0044305967 0.0014363709 0.0017686656 0.0036802539 0.0049165334 0.0022635348 0.0019365996 0.0020866683 0.0016471816 0.0010486937 0.001527484 0.003980391 0.0036588155 0.0025118627 0.0011969757 0.0060938573 0.0051630745 0.0055203806 0.0024421879 0.002297479 0.0012880889 0.0016989909 0.001874071 0.0024082437 0.000982592 0.002601189 0.0021724217 0.008334167 0.008271638 0.0016775526 0.0016882718 0.0023993112 0.001352404 0.0010236823 0.0010540533 0.0020848818 0.0026065486 0.0017097101 0.0014881804 0.003112137 0.0017847444 0.0011880432 0.009768751 0.0036427367 0.012614695 0.0012612909 0.0011094357 0.0025011434 0.012109107 0.0015292706 0.029793978 0.0017400812 0.011051481 0.0011219415 0.00118447 0.002136691 0.0010147496 0.0010879973 0.0013452579 0.0014024269 0.0017668791 0.00093078264 0.0011415933 0.0018222616 0.0011880432 0.0011094357 0.00100939 0.0014917534 0.002372513 0.0009933112 0.001382775 0.0022242311 0.002197433 0.0013309655 0.0016900583 0.0015417762 0.0018329808 0.00095936714 0.0010254688 0.0018437 0.0010183227 0.0009504345 0.0011147953 0.0016900583 0.0010111765 0.0009682998 0.003367611 0.0020312858 0.0011076492 0.0010272553 0.001123728 0.0018955094 0.0022635348 0.0021777812 0.0017722388 0.003081766 0.0013720558 0.0011147953 0.0011344472 0.0014363709 0.0017829579 0.00127201 0.0011290875 0.0073051252 0.0058616083 0.0034462183 0.0034712297 0.0030406758 0.0011022897 0.0035033873 0.0056150667 0.005339941 0.0030639006 0.0019794763 0.0013005945 0.0032443402 0.0012041219 0.0014202922 0.0012970215 0.0031049908 0.0016882718 0.0017240024 0.0014024269 0.0026637176 0.0012755832 0.0016918449 0.0013202464 0.0029120455 0.002011634 0.0011130088 0.0016007317 0.015071175 0.012834439 0.0040589985 0.0017114967 0.0042019207 0.0018562058 0.0012094815 0.001066559 0.003131789 0.0014828207 0.0010844243 0.001070132 0.01364731 0.004828993 0.0012273468 0.003832109 0.005695461 0.0010879973 0.001214841 0.0015757204 0.004666419 0.0014667419 0.0015328436 0.0014524497 0.0031871712 0.0021992195 0.0027798421 0.0021098931 0.005911631 0.0018186886 0.0020062742 0.003431926 0.008180525 0.0040322 0.008253773 0.06771131 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010583608 0.0004524441 0.0005590596 0.0003816657 0.0015687715 0.00051695097 0.0013994409 0.0008403813 0.00047036266 0.00038524944 0.0004963446 0.0008152953 0.0006853856 0.0005151591 0.00076691515 0.0015813145 0.0107395 0.0014299025 0.0015006809 0.018543936 0.0024539493 0.0018276949 0.0024897864 0.0021063287 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058348265 0.015332031 0.021609806 0.010406214 0.032689758 0.020395821 0.013061747 0.0135589875 0.0374561 0.0032549098 0.005730361 0.0049965954 0.019471223 0.020557089 0.016538847 0.031362887 0.013897649 0.010725165 0.010676784 0.01053254 0.010973337 0.010476992 0.010600631 0.010333644 0.011291392 0.01093302 0.010681264 0.010800423 0.010448323 0.0105164135 0.010628404 0.010795943 2010.0 10.38806 20880.0 0.020881226 0.0038314175 0.005507663 0.0037356322 0.013218391 0.0036398468 0.004166667 0.0065613026 0.0062739463 0.0034482758 0.004597701 0.005507663 0.006800766 0.004454023 0.00598659 0.0048850575 0.024233716 0.017816093 0.017049808 0.018630268 0.019636014 0.019157087 0.016618773 0.018103449 0.019779693 0.018965518 0.018247126 0.018869732 0.01795977 0.015613027 0.015517241 0.014367816 0.007662835 0.008141763 0.004980843 0.009243295 0.010632184 0.0062739463 0.007136015 0.007902299 0.008333334 0.0056992336 0.0036877394 0.004118774 0.008141763 0.0056992336 0.0045019155 0.0069444445 0.013409962 0.00704023 0.005890805 0.0114463605 0.009626437 0.0057471264 0.0078065135 0.009530651 0.0055555557 0.005124521 0.004980843 0.0045498083 0.00704023 0.004310345 0.004118774 0.0073275864 0.0076149427 0.017193487 0.008429118 0.016762452 0.01599617 0.035775863 0.007950191 0.008524904 0.011350575 0.017816093 0.008141763 0.0060823755 0.018055556 0.009386973 0.01743295 0.02217433 0.009434866 0.003591954 0.023371648 0.017720306 0.03199234 0.011877394 0.0055555557 0.0062739463 0.009386973 0.0078065135 0.004597701 0.0038793103 0.0065613026 0.003591954 0.003400383 0.0056034485 6.322606 0.0 9.0 0.0 6.0 559744.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553760.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.0077669877 0.003966951 0.0038652031 0.0038919894 0.003954357 0.0039245724 0.003873399 0.0038763974 0.0039201747 0.0038432146 0.0038883912 0.0039615533 0.0038955875 0.0038931887 0.003865803 0.0038839935 0.0039597545 0.0038999852 0.0038652031 0.003867602 0.003869401 0.0039173765 0.0038925891 0.0038312208 0.0038805953 0.0038745983 0.00385201 0.0039041832 0.0038682017 0.0038785962 0.0038060339 0.0038879914 0.0040680985 0.0038498112 0.0038783965 0.0038490116 0.003927371 0.003844414 0.0038765974 0.0039049827 0.0038723995 0.0039423634 0.0038674022 0.0038486118 0.003936966 0.0038628045 0.003894588 0.0038440141 0.0039503593 0.0038320203 0.0039093806 0.003907781 0.0038873919 0.003859606 0.0038532093 0.0038656031 0.0038869919 0.003904383 0.0038747983 0.0038821944 0.0038686015 0.0038672022 0.0039225738 0.0038526098 0.004119072 0.0038284222 0.003931569 0.003896387 0.0038548086 0.0039751465 0.0038835937 0.0038312208 0.003873199 0.0039365664 0.0039019843 0.0039037834 0.003830821 0.0039437627 0.0038630043 0.0038975866 0.0038903903 0.0038408157 0.0038797958 0.003915977 0.0038144295 0.003984941 0.0039195754 0.003914578 0.0038765974 0.0038492114 0.003894788 0.0038845933 0.0038604056 0.0039187754 0.0039269715 0.0038883912 0.0038654031 0.0039977347 0.0038576073 0.0038779967 0.003896387 0.004105279 0.0038835937 0.0038558082 0.003963752 0.0039471607 0.003920974 0.0038456134 0.0039291703 0.0038863923 0.003919375 0.0039593545 0.003873399 0.0038186272 0.0039535575 0.0039323685 0.0040427116 0.0039285705 0.0038821944 0.0038769972 0.003911979 0.0038799956 0.0038650034 0.0038586066 0.0038823944 0.0038416155 0.0038172281 0.003884993 0.0039165765 0.0039041832 0.0038396164 0.0039269715 0.0038975866 0.0039501595 0.0038893907 0.0038642038 0.0038486118 0.0039957357 0.0038911898 0.0042733923 0.003873599 0.0039689494 0.003892789 0.0038272229 0.0039009848 0.0038496114 0.003825224 0.0038879914 0.0038688013 0.0039233733 0.0039013845 0.0038382171 0.0038498112 0.0038420153 0.003862005 0.003836618 0.0038382171 0.0038382171 0.0038558082 0.0038506107 0.0038284222 0.003902384 0.0038280224 0.003850211 0.003884993 0.0039015845 0.0038915896 0.0038418153 0.0038426148 0.0038957875 0.003861805 0.003875398 0.003935767 0.0038262233 0.0038897905 0.003859806 0.0038438144 0.003877197 0.0039363666 0.0038799956 0.003811631 0.0038841935 0.0038048343 0.0038624047 0.0038612052 0.0038222254 0.0038380174 0.0038148293 0.003838617 0.0038857926 0.0038606056 0.0039001852 0.0039709485 0.0038466128 0.0038674022 0.003944962 0.0039287703 0.003867602 0.0038973866 0.0039001852 0.0038819946 0.0039025838 0.003850211 0.0038841935 0.00385201 0.0038450137 0.003883394 0.0038686015 0.0038542089 0.0038811949 0.0039113793 0.0038336196 0.0039147777 0.003886792 0.003919775 0.0038674022 0.003896387 0.0038845933 0.0038390167 0.0038825942 0.003869401 0.0038680017 0.0038408157 0.0038787962 0.0038827942 0.0038532093 0.0039129783 0.003857807 0.0038670022 0.0038512105 0.0038805953 0.0038915896 0.004098083 0.0038430146 0.0038799956 0.003917976 0.0038891907 0.0038594063 0.0038644036 0.003854009 0.00392977 0.0038652031 0.00392897 0.0038170281 0.0038983861 0.0039041832 0.0038718 0.003904383 0.0039249724 0.0039093806 0.0039249724 0.0038674022 0.003915577 0.0038484118 0.0039229733 0.0045628427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006801346 4.978789e-05 4.698857e-06 3.6991005e-06 4.2989545e-06 2.4993922e-06 1.299684e-06 1.9995136e-06 3.6991005e-06 1.599611e-06 2.899295e-06 3.799076e-06 9.397714e-06 1.3796644e-05 1.6196062e-05 1.9195331e-05 0.00032592073 7.698128e-06 6.1984924e-06 3.9990275e-07 7.998055e-07 1.599611e-06 2.3994164e-06 2.599368e-06 2.0994894e-06 1.299684e-06 1.9995136e-06 7.898079e-06 8.697884e-06 9.997569e-06 9.397714e-06 2.0495016e-05 0.0006019536 2.039504e-05 2.0694966e-05 1.6196062e-05 7.398201e-06 7.798103e-06 5.8985656e-06 6.398444e-06 4.198979e-06 3.5991247e-06 1.2396985e-05 1.4896377e-05 8.397958e-06 1.0597422e-05 1.2197033e-05 6.598395e-05 0.00037690834 7.698128e-06 1.8195575e-05 5.79859e-06 1.689589e-05 5.398687e-06 8.987814e-05 4.338945e-05 3.199222e-06 2.4993922e-06 2.599368e-06 2.899295e-06 4.798833e-06 3.3991732e-06 6.398444e-06 2.4294091e-05 0.0006369451 2.3694238e-05 4.4889082e-05 1.1697155e-05 3.959037e-05 2.2094626e-05 0.00018735444 9.5976655e-05 5.198736e-06 3.799076e-06 3.9990273e-06 1.06973985e-05 9.597666e-06 1.4396499e-05 2.3994164e-05 9.4577e-05 0.0002842309 2.3994164e-06 5.8785703e-05 1.9995137e-05 2.6393582e-05 1.4196547e-05 9.997569e-05 5.2787163e-05 6.298468e-06 3.3991732e-06 3.0992462e-06 2.0994894e-06 2.9992705e-06 2.2494529e-05 3.8990515e-06 1.1197277e-05 0.000116671625 6.0985167e-06 3.5791294e-05 5.09876e-06 3.0192658e-05 1.9095356e-05 9.1177826e-05 5.378692e-05 1.4096572e-05 1.7995624e-06 2.2994407e-06 1.6995866e-06 9.797617e-06 5.698614e-06 3.8990515e-06 1.229701e-05 0.00010177525 4.3989303e-06 3.8090737e-05 5.79859e-06 4.698857e-05 1.2197033e-05 8.687887e-05 4.978789e-05 1.1197277e-05 1.6995866e-06 5.398687e-06 3.0992462e-06 1.3896621e-05 9.297739e-06 4.8988086e-06 1.4096572e-05 1.159718e-05 4.498906e-06 3.8090737e-05 2.5293848e-05 1.2696913e-05 7.0982737e-06 5.048772e-05 3.099246e-05 2.599368e-06 2.7993192e-06 4.3989303e-06 3.2991977e-06 3.0992462e-06 2.3994164e-06 2.6993434e-06 2.6993434e-06 0.00045338974 5.008782e-05 6.448432e-05 6.628388e-05 0.00015566214 0.0001410657 5.5686458e-05 9.307736e-05 0.00027773247 2.319436e-05 2.5193873e-05 3.8990518e-05 0.00016086087 6.2184874e-05 0.00011577184 0.00026383583 0.0010014564 0.00014076577 0.00020455025 0.0001895539 0.00038950527 0.0003910049 0.000279632 0.00031202412 0.0006201492 6.548408e-05 7.888082e-05 0.00012736903 0.00038010755 0.00018015619 0.00031842256 0.00064444327 0.06160452 0.061742183 0.061738286 0.061780773 0.061746385 0.061640907 0.06176378 0.06151204 0.061815366 0.061664503 0.061777577 0.06151054 0.061584324 0.061700895 0.061690297 0.061828364 23039.0 5.832458 134374.0 0.014199176 0.010106122 0.010768453 0.009957284 0.010001935 0.00986798 0.010165657 0.009771235 0.00967449 0.010307053 0.009801003 0.009830771 0.009838213 0.010113563 0.0103889145 0.010232634 0.009801003 0.009734026 0.010039144 0.009942399 0.010225193 0.009540536 0.0099126315 0.009585188 0.009979609 0.010113563 0.009763794 0.0099126315 0.010121006 0.010649381 0.009942399 0.00974891 0.009927516 0.00986798 0.009719142 0.010418682 0.010269844 0.010909849 0.010150773 0.01041124 0.010470776 0.010947058 0.010225193 0.009681933 0.010560079 0.009875422 0.010195425 0.01060473 0.010701475 0.009533094 0.010470776 0.010634498 0.00978612 0.01006147 0.010485659 0.009763794 0.009882865 0.010113563 0.010091238 0.01029217 0.009562862 0.010031703 0.01009868 0.010158215 0.00986798 0.012167532 0.010463334 0.011155432 0.011721018 0.014720109 0.009927516 0.010619614 0.010820545 0.012100555 0.010091238 0.010344263 0.012055904 0.011051245 0.0119145075 0.012494977 0.011006594 0.009525652 0.012517302 0.012420557 0.012807537 0.010656823 0.01041124 0.010046586 0.010478217 0.01064194 0.009280069 0.009853097 0.009503326 0.009942399 0.009771235 0.009681933 6.579453 0.0 2.0 0.0 79.0 5002583.0 90112.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1255684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.649969 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 3.670395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3728.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 19368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 19368.0 69632.0 0.0 0.0 7712.0 61786344.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.28078443 0.027162064 0.0418105 0.0075626816 0.03851744 0.0059388625 0.020053597 0.0075286156 0.007926053 0.0063249455 0.0338958 0.0034747457 0.0053710938 0.0023846293 0.0019190589 0.0013967115 0.0017033067 0.015102653 0.005859375 0.006381722 0.00240734 0.0013740007 0.008516533 0.004723837 0.0040425146 0.0016578852 0.0015556868 0.0012490916 0.0025436047 0.001442133 0.0019644804 0.0015443314 0.0067223837 0.001623819 0.007721657 0.0014761991 0.0012150254 0.001953125 0.001623819 0.0007948764 0.015045876 0.0007721657 0.0045535066 0.00090843026 0.0009879179 0.0010560502 0.0013853561 0.0016805959 0.0039743823 0.0015897529 0.0015443314 0.0014534884 0.0010333394 0.00069267803 0.0004087936 0.00034066133 0.0034633903 0.0032703488 0.0017600836 0.00073809957 0.0008175872 0.0014307776 0.001112827 0.0048601017 0.0023051417 0.002884266 0.0019871911 0.0037813408 0.0020212573 0.0017827944 0.0017941497 0.0014307776 0.0014194222 0.001771439 0.00065861194 0.00065861194 0.0015670422 0.002464117 0.0008175872 0.0013740007 0.0018963481 0.00064725656 0.0027252906 0.0035996549 0.002827489 0.00049963663 0.0020780342 0.0005337028 0.0021348111 0.00120367 0.003701853 0.0023278524 0.00029523982 0.0003065952 0.00027252908 0.003190861 0.00043150436 0.0135015445 0.0020666788 0.005223474 0.0079828305 0.022449583 0.003190861 0.004315044 0.004746548 0.011162337 0.00064725656 0.006483921 0.009072947 0.0050985646 0.01051508 0.027309684 0.008153161 0.0008970749 0.016964935 0.012366006 0.015568223 0.0056890445 0.0020780342 0.0012945131 0.0023051417 0.002611737 0.0008175872 0.022097565 0.0012718023 0.0069835573 0.00068132265 0.0007835211 0.007710302 0.0012263808 0.00044285975 0.000510992 0.0004087936 0.0003065952 0.0019985465 0.0016465298 0.00065861194 0.00084029796 0.0011468931 0.001078761 0.0010446948 0.000601835 0.0021121004 0.0013853561 0.0007267442 0.00037472747 0.0002043968 0.0005337028 0.0003520167 0.0005223474 0.00073809957 0.0008743641 0.0003974382 0.0006699673 0.00076081033 0.00038608286 0.00044285975 0.0003520167 0.00059047964 0.0003633721 0.00044285975 0.0006245458 0.00054505817 0.0007040334 0.0003520167 0.0003520167 0.0003974382 0.0005677689 0.00043150436 0.00045421513 0.00024981832 0.00093114097 0.0007153888 0.0017827944 0.00023846293 0.0004087936 0.00029523982 0.0006245458 0.0002043968 0.0003633721 0.00045421513 0.0008970749 0.00057912426 0.0002611737 0.00049963663 0.00044285975 0.00021575218 0.00022710756 0.00024981832 0.0003520167 0.00032930597 0.00023846293 0.000601835 0.00027252908 0.00049963663 0.00034066133 0.00054505817 0.00017033066 0.002464117 0.00022710756 0.0003520167 0.00021575218 6.813227e-05 0.00018168605 0.0022029432 0.0016805959 0.00054505817 0.0008062318 0.00045421513 0.0003520167 0.00017033066 0.0002043968 0.00024981832 0.0003974382 0.00038608286 0.00034066133 0.00043150436 0.0003520167 0.000601835 0.00027252908 0.0003520167 0.00018168605 0.0003520167 0.00018168605 0.00037472747 0.0003974382 0.00043150436 0.0002043968 0.000510992 0.00028388444 0.00048828125 0.0003179506 0.00024981832 0.00019304143 0.00021575218 0.0001021984 0.0003520167 0.00011355378 0.00011355378 0.00018168605 0.001112827 0.0003179506 0.0002611737 0.00021575218 0.00024981832 0.00027252908 0.0002611737 0.00012490916 0.0005223474 0.00024981832 0.0003520167 0.00013626454 0.00044285975 0.00032930597 0.0018963481 0.0015783976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.055273436 0.003986673 0.0049574906 0.005198759 0.012953814 0.008576517 0.07675781 0.043014705 0.00018956802 0.00010340074 9.765625e-05 6.893383e-05 0.00012063419 9.765625e-05 4.02114e-05 0.00032743567 0.13789637 0.015194164 0.012678079 0.005681296 0.0057732076 0.00641659 0.02768842 0.023713235 0.005480239 0.0015222887 0.0015739889 0.0006318934 0.0012522978 0.00047679228 0.0003504136 0.0007295496 0.21174747 0.029658778 0.019404871 0.012126609 0.004463465 0.0079676015 0.015797334 0.024954043 0.0118738515 0.0043772976 0.004796645 0.002946921 0.005158548 0.0026137407 0.002544807 0.004273897 0.062252987 0.009306066 0.0073759193 0.0043428307 0.0048713237 0.0039751837 0.012902114 0.007100184 0.003481158 0.0018841912 0.001775046 0.0015912225 0.0038890166 0.0013786765 0.0012695312 0.0020163143 0.020731848 0.004474954 0.005336627 0.0014361213 0.0007755055 0.0015625 0.0022001378 0.002699908 0.0022863052 0.0004710478 0.0010340074 0.0010282629 0.00087316177 0.0007467831 0.00036190258 0.0010397518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 13.881836 14215.0 0.007245867 7.034822e-05 0.00049243757 0.00035174112 0.0005627858 0.0 0.0 7.034822e-05 0.00077383046 0.00070348225 0.0 0.0002813929 0.0009145269 0.0002813929 0.0020400984 0.0035877593 0.0012662681 0.0033063665 0.0014773126 0.0014069645 0.00077383046 0.00049243757 0.0005627858 0.0002813929 7.034822e-05 7.034822e-05 0.0 0.0 0.0002813929 0.00049243757 0.00014069644 0.00042208933 0.0 0.0106225815 0.0071755187 0.014843475 0.008652831 0.005276117 0.0068237777 0.00436159 0.0025325362 0.0068237777 0.0011959198 0.00042208933 0.0035174112 0.011044671 0.0020400984 0.0042208936 0.0055575096 0.00077383046 0.0064720367 0.017235314 0.010481886 0.0019697503 0.0026732325 0.0016883573 0.0014773126 0.00049243757 0.00077383046 0.0 0.0 0.0 0.0 0.008371439 0.0002813929 0.065916285 0.008371439 0.02419979 0.031797398 0.11839606 0.0145620825 0.020823075 0.021596905 0.051705945 0.002180795 0.004713331 0.045726344 0.025677102 0.049384452 0.06380584 0.022511432 0.0009848751 0.06978544 0.038269434 0.081111506 0.02736546 0.008512135 0.0054168133 0.008863877 0.009989448 0.0016180092 7.034822e-05 7.034822e-05 0.00035174112 0.0 0.0 4.9394975 0.0 0.0 0.0 1.0 88064.0 106496.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1426568700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 87040.0 512.0 4096.0 2.0 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 -87040.0 0.0 0.0 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 -5.6234035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 8216.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 98304.0 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 8208.0 0.0 0.0 72.0 8292.0


Input: 0.2095382 0.007863694 0.00503717 0.004041216 0.009421229 0.0028777178 0.004177733 0.0025379765 0.0075518764 0.001990357 0.0017390414 0.0020182808 0.0064861127 0.001971741 0.0015652924 0.0090970015 0.0062425537 0.0014380832 0.001441186 0.0013356955 0.0043033906 0.00388298 0.0016226916 0.001413262 0.0037200903 0.0012596803 0.0012829503 0.0012457183 0.0031895353 0.0011805624 0.0011386765 0.0013077715 0.005243497 0.00108438 0.0011402279 0.0012938096 0.014005411 0.0012798476 0.001244167 0.0011510872 0.006731223 0.0011728058 0.0010192241 0.0024991934 0.0021579007 0.0019919083 0.0015652924 0.00096647884 0.0039993296 0.0018709045 0.0020539614 0.01127507 0.00277533 0.0024479993 0.0025085013 0.0019748437 0.0030157864 0.002694661 0.0020399995 0.0041094744 0.0032546911 0.002924258 0.0022385698 0.0043732002 0.005797322 0.0039233146 0.0024448968 0.0030778395 0.011115283 0.011769944 0.0065373066 0.0020958474 0.002502296 0.0018010946 0.0011340225 0.0010300834 0.0032702044 0.0037061283 0.0019127905 0.0027551628 0.008993062 0.0025783111 0.0016382049 0.0036580372 0.0028249726 0.00415136 0.0054591317 0.0044290484 0.0021222201 0.0039264173 0.0010502507 0.001925201 0.002008973 0.0039745085 0.0033927597 0.0028156647 0.0015994216 0.003512212 0.0012969122 0.002286661 0.0031104174 0.005048029 0.0059757247 0.0017592087 0.0040163943 0.0035897787 0.0054808506 0.0019143417 0.0038379915 0.0019189958 0.0037930028 0.003918661 0.002666737 0.0010812773 0.0045376415 0.00487428 0.011703237 0.009979709 0.006925139 0.0063061584 0.0018817638 0.0016397563 0.0011417792 0.0011495359 0.002314585 0.0034873907 0.0018910718 0.0020043189 0.0036208052 0.0028249726 0.0012208971 0.010338066 0.0033881057 0.008167755 0.0012457183 0.0011154066 0.0031119687 0.010172074 0.0018088513 0.023327356 0.0015140985 0.009467769 0.001934509 0.0010300834 0.0017250794 0.0009183876 0.0010424941 0.0012658857 0.0014629046 0.0012457183 0.00085323176 0.0008516804 0.0013450035 0.0012472697 0.0008346158 0.0009385549 0.0012519236 0.001047148 0.00094320887 0.0011293686 0.0015466764 0.0016676802 0.0011045473 0.0011603951 0.0013139768 0.001272091 0.0009897489 0.000892015 0.001596319 0.00096027355 0.0010998932 0.0012876042 0.0014380832 0.0010052621 0.0011945245 0.005994341 0.001600973 0.00089511764 0.0009230416 0.0010269807 0.0014396346 0.0011821138 0.0018879691 0.001746798 0.0023750868 0.0012860529 0.0010967907 0.00094320887 0.0016164863 0.0012146917 0.0012689882 0.001802646 0.0077721654 0.0034361968 0.007876105 0.0036130485 0.0035804706 0.0013434521 0.0024573074 0.0031197255 0.002731893 0.0031678167 0.0013372469 0.001441186 0.0026201971 0.0013450035 0.0019298551 0.0016987068 0.0023983568 0.0018274672 0.002032243 0.0017405928 0.0020849882 0.0016288969 0.0013108742 0.0012177944 0.0025147067 0.0018693531 0.0011247145 0.0018569425 0.0016552695 0.0023456116 0.0010440453 0.0010611101 0.00286841 0.0012596803 0.0010580074 0.0010145701 0.002027589 0.001802646 0.0011014446 0.00103784 0.012342385 0.0023580221 0.0011231633 0.0041901437 0.0043033906 0.0010626613 0.0011743571 0.001075072 0.0036813072 0.0017219768 0.0015668437 0.0013139768 0.002247878 0.0009540682 0.00275206 0.001976395 0.0039217635 0.0017095661 0.0014148133 0.0017530033 0.003051467 0.002205992 0.003845748 0.051192354 0.06369427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015379305 3.1100717e-06 1.5550359e-06 0.0 7.775179e-07 1.5550359e-06 0.0 1.2440287e-05 2.3325538e-06 0.0 1.1662769e-05 2.3325538e-06 1.3995323e-05 0.0 1.5550359e-06 3.1100717e-06 0.0028317203 3.8875896e-06 5.3648735e-05 2.4880574e-05 7.775179e-07 0.0 0.0 1.5550359e-06 9.330215e-06 6.2201434e-06 0.0 7.775179e-07 1.5550359e-06 4.6651076e-06 6.9976613e-06 0.000238698 0.0013248905 0.0 5.1316183e-05 2.3325538e-05 0.0 0.0 0.0 0.0 7.775179e-06 6.2201434e-06 0.0 0.0 0.0 4.6651076e-06 4.6651076e-06 0.0001694989 0.0025440387 2.4103056e-05 2.8768163e-05 5.1316183e-05 7.775179e-06 8.552697e-06 1.1662769e-05 4.6651076e-06 9.563471e-05 6.9976613e-06 1.0107733e-05 8.552697e-06 1.5550359e-05 6.9976613e-06 4.509604e-05 0.00031489474 0.005506382 7.308668e-05 0.00217705 0.0002083748 0.0001609462 6.919909e-05 0.00012906798 0.0005022766 5.598129e-05 1.4772841e-05 0.00015939117 2.254802e-05 0.00015083847 3.8098377e-05 1.6327876e-05 0.0002697987 0.00541619 6.842158e-05 0.0012090404 0.001583804 0.00018971437 6.2201434e-05 0.00081406126 0.0016281225 0.0002993444 5.0538663e-05 0.00010185485 4.0430932e-05 8.163938e-05 3.8875896e-05 7.464172e-05 0.0010799724 0.013178929 0.00017416402 0.00077518536 0.0009306889 0.0014461833 0.00042607982 0.0017906238 0.0014057524 9.641222e-05 9.563471e-05 8.319442e-05 0.00019282445 0.00020759729 0.00013217804 0.00019282445 0.0011647218 0.020940112 0.00032266995 0.00078684813 0.002714315 0.0025471486 0.0006196818 0.0037958424 0.003009772 0.00047972857 0.0002472507 0.0008428294 0.0006733305 0.0011880473 0.0006360097 0.00019904459 0.0023986427 0.013503154 0.0003389978 0.0015985768 0.0026715517 0.006199928 0.0021342866 0.010691649 0.006168827 0.00022470267 0.00018971437 0.0009376866 0.00027990644 0.00096256717 0.00027757388 0.0001345106 0.0014570686 0.015558134 0.000803176 0.0016086845 0.0014594011 0.005083412 0.002575917 0.006825052 0.007771292 0.0009804501 0.0004727309 0.002867486 0.00040975193 0.002619458 0.000606464 0.00044007515 0.0072433567 0.010329326 0.0012028202 0.0023745396 0.013800166 0.001974118 0.0016257899 0.0017416402 0.004194709 0.00216461 0.0013699866 0.0028698186 0.0014718414 0.0034762826 0.0015216025 0.0015146049 0.0056929863 0.007171825 0.00076119 0.0009143611 0.0013077852 0.0013863144 0.0007790729 0.0015309327 0.0012899023 0.0017952889 0.0005652555 0.0004727309 0.0008443844 0.001019326 0.00060568645 0.0007417521 0.002699542 0.033301093 0.0055654733 0.0055810236 0.005978335 0.009841822 0.009508266 0.004309004 0.0072760126 0.020323541 0.0019850032 0.0017183146 0.0029802262 0.0087890625 0.0030711957 0.008415854 0.016260233 0.068835214 0.017274894 0.01813716 0.013580128 0.026656425 0.027711516 0.0122202495 0.021031082 0.048586316 0.0040236553 0.0048952526 0.0061213984 0.021912787 0.011607565 0.018866472 0.03682014 0.010714197 0.009456173 0.009337213 0.009345765 0.009517597 0.009535479 0.009292116 0.009401747 0.009367536 0.009107845 0.009610121 0.00930067 0.0091319475 0.00922525 0.009233803 0.009696426 3114.0 14.790944 46059.0 0.014112334 0.0014763672 0.0022579734 0.0022796846 0.02284027 0.0012592544 0.0012375432 0.0023882412 0.0038428972 0.0014763672 0.0014763672 0.0023665298 0.0029961572 0.0020191493 0.005384398 0.0016500575 0.012570833 0.0056015113 0.0072515686 0.080418594 0.008879915 0.007056167 0.007360125 0.0064048287 0.008250288 0.006839054 0.006448251 0.007208146 0.009552965 0.0067956317 0.008011463 0.014047201 0.03519399 0.020104649 0.004754771 0.015480145 0.02099481 0.0060357368 0.005275842 0.0064699627 0.005514666 0.0073818364 0.0016934801 0.0013678109 0.009357563 0.006057448 0.0025185088 0.003604073 0.016761111 0.0031264247 0.0035823619 0.01083393 0.010790508 0.009574676 0.011441846 0.012245164 0.003756052 0.0031481362 0.0017151914 0.0031481362 0.0030395796 0.0031481362 0.0031481362 0.0067087864 0.0034303828 0.02485942 0.004624503 0.016847955 0.019627 0.039536245 0.020864543 0.008489111 0.0057969126 0.028289802 0.0051021515 0.010877353 0.018498013 0.010334571 0.025684448 0.03215441 0.011724093 0.0016066349 0.024251504 0.021125078 0.03640982 0.011441846 0.0033218265 0.06491674 0.0044725244 0.005210708 0.0016500575 0.001758614 0.0030178684 0.0013678109 0.001302677 0.0016717688 5.8763466 1.0 0.0 7.0 5.0 644608.0 663552.0 0.0 0.0 366.0 1.0 1.0 0.0 0.0 0.0 1543186600.0 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 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 311296.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -59904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -311296.0 0.0 163328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.734408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5494504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.895809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6790123 0.0 7.0566134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87998.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -310897.0 0.0 163176.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -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 -1.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -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 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 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 -2.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 394956.0 163176.0 438272.0 0.0 0.0 0.0 0.0 17376.0 602112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 373568.0 0.0 0.0 1532.0 315392.0 0.0 0.0 0.0 0.0