Input: 0.17338 0.017737731 0.015268956 0.01232648 0.01560863 0.0038192852 0.008284155 0.007354145 0.00627169 0.003699581 0.011046564 0.0034519874 0.004273548 0.0027828705 0.0033322829 0.003529744 0.0042725247 0.0041886293 0.0044321306 0.0035542988 0.004067902 0.0026764667 0.002867789 0.0026652124 0.0024053415 0.003833609 0.0031061748 0.0023664632 0.0024841214 0.0027746856 0.0037261818 0.0036658181 0.005949409 0.002060552 0.002481052 0.0024974218 0.010657781 0.0019408476 0.0025792709 0.0020666907 0.0055043544 0.002327585 0.0032473644 0.003852025 0.0041078036 0.0033987854 0.0049948436 0.0031737003 0.0062686205 0.0035655529 0.003637171 0.0039799144 0.0026120106 0.011168314 0.010399956 0.0022528975 0.0030355798 0.0020186042 0.002794125 0.0021833256 0.0030140944 0.004477148 0.0018712758 0.0025117453 0.0046162913 0.002804356 0.0033721845 0.004189653 0.0028954132 0.0029762392 0.0021925338 0.0024217113 0.0025025373 0.0037486905 0.0016646069 0.0021004535 0.0030662732 0.0019295934 0.00224062 0.0022273196 0.0029772623 0.0024145495 0.003296474 0.002732738 0.0036801419 0.0019776798 0.00230303 0.002401249 0.0016441445 0.0018283051 0.0019388014 0.0014640765 0.0014732844 0.0015848039 0.0018139814 0.003403901 0.0021536553 0.009797341 0.0029854472 0.0051575187 0.0045712744 0.016706431 0.003396739 0.0053191707 0.0033220518 0.009732885 0.0020400898 0.0036883266 0.006911136 0.0053979503 0.009488361 0.013528639 0.004703256 0.0025465311 0.009018752 0.007893326 0.01472466 0.005679307 0.0024483122 0.003063204 0.0040003764 0.0039481977 0.002508676 0.0037752914 0.0017055314 0.0029271296 0.0019572175 0.0026038256 0.005876768 0.0025342538 0.0019787028 0.0019203854 0.0021536553 0.0018323975 0.0018037503 0.0019060618 0.001998142 0.0014477066 0.0024769595 0.0015755958 0.0014630533 0.0013228867 0.0016953002 0.0019817722 0.0025240227 0.0014303137 0.0022508511 0.002176164 0.0018416055 0.0014098514 0.0016441445 0.001791473 0.0019480095 0.0037057197 0.0014313367 0.0018446749 0.0013198173 0.0015950351 0.002508676 0.0017086007 0.0023736248 0.0016727917 0.0031962087 0.0016635837 0.0031204983 0.001461007 0.0022017418 0.001702462 0.0012512687 0.001343349 0.0015786652 0.0016380058 0.0012594536 0.0017372479 0.0016349364 0.0017587333 0.0016144742 0.0014190594 0.0011510035 0.0016032199 0.002104546 0.001541833 0.0013249329 0.0015694571 0.0015090934 0.0014886311 0.0014456604 0.0015193246 0.0019602869 0.0018446749 0.001541833 0.0023705557 0.0022989376 0.0024401273 0.001970518 0.0024401273 0.0013453951 0.0027971943 0.0012758235 0.0022436895 0.0021843489 0.0018692296 0.0015940119 0.0015940119 0.001738271 0.0017894268 0.001506024 0.0030846894 0.002795148 0.0022242502 0.0018272819 0.0016103818 0.0013044706 0.0014865849 0.0012829852 0.0016727917 0.0013996202 0.0013484645 0.0017884036 0.0016042431 0.0016830228 0.0016656299 0.0020595288 0.0018201201 0.0022007187 0.0024984449 0.001541833 0.0022794984 0.0019909802 0.0015848039 0.0016318671 0.001719855 0.002491283 0.001801704 0.0014773769 0.0015622954 0.0017986348 0.0018620678 0.0017075776 0.0018866226 0.0026488428 0.0019602869 0.0030304643 0.0019111773 0.0020001882 0.0017137163 0.0016625606 0.0019490325 0.0020124656 0.0018323975 0.0020595288 0.0019060618 0.0022344815 0.0064282264 0.00635047 0.0183516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017492048 0.00018701224 0.00017778971 2.4081028e-05 0.0005456658 0.00030383084 0.0038340068 0.0014238547 2.5618115e-06 0.00013885018 2.049449e-06 0.0 3.0741737e-06 5.1236225e-07 2.049449e-06 0.0 0.013921908 0.00034174565 0.0010421448 0.0006681204 0.002302556 0.0021908612 0.01645349 0.008568747 6.4045285e-05 0.00012501639 6.609473e-05 5.9946386e-05 7.634198e-05 6.763182e-05 7.173072e-05 0.00014960978 0.04538198 0.0037187254 0.0048249154 0.0030285735 0.0013941377 0.0012891035 0.005980805 0.0064270725 0.0006220078 0.00058716716 0.00048264526 0.00038068517 0.00049135543 0.00054669054 0.000312541 0.0011318083 0.021575063 0.0027513853 0.0026340545 0.0014115581 0.0006327674 0.0005651356 0.002890748 0.0027062974 0.00057896937 0.00050365215 0.00043243376 0.00030485555 0.00048366998 0.00044268102 0.00026335422 0.0006481383 0.04847357 0.0065556755 0.006395306 0.00863023 0.0027954485 0.0022364613 0.012474485 0.006106334 0.002411177 0.0011205364 0.0010277987 0.000537468 0.0013326543 0.0004682991 0.0011251476 0.0063891574 0.09344924 0.009671863 0.016700448 0.023948325 0.007507132 0.0057312846 0.03620813 0.019996475 0.0018839561 0.0021703667 0.002489056 0.00075624674 0.0046420023 0.0014443493 0.001810176 0.017131345 0.009316283 0.0011610129 0.0018065894 0.001854239 0.0011856064 0.0006245696 0.0026212453 0.0018778078 0.0008541079 0.0008505214 0.00033508491 0.000342258 0.0008074829 0.0003545547 0.0005446411 0.0016969439 0.009472554 0.0023712127 0.0018660234 0.0016021568 0.0018573132 0.00072755443 0.0015493835 0.0012880787 0.001582687 0.0016231637 0.0007987728 0.0008284898 0.0011246352 0.0006302056 0.00097041414 0.0010882575 0.011047043 0.0031505157 0.0034727915 0.002791862 0.0032704084 0.002170879 0.0021406496 0.0020699436 0.003046506 0.002851296 0.0019936017 0.0017025799 0.002481883 0.001653393 0.0020356153 0.0023896575 0.036964376 0.023232555 0.021966508 0.021913223 0.023501545 0.021139042 0.020119442 0.023109589 0.022971762 0.0212077 0.022009034 0.021133406 0.020777827 0.02200391 0.022945119 0.02751283 9640.0 14.680809 141523.0 0.009623878 0.00050875125 0.0017876953 0.0017876953 0.004423309 0.00055821316 0.0009751065 0.00089738064 0.0010175025 0.0009963044 0.0007419289 0.0030454413 0.010874557 0.0018583551 0.0124078775 0.0077584563 0.015121217 0.0061120805 0.0041124057 0.006196873 0.004013482 0.004543431 0.004077076 0.002049137 0.0028899896 0.0027839998 0.005207634 0.0014061319 0.004006416 0.016696932 0.0013919999 0.00078432483 0.0012224162 0.004762477 0.0097722635 0.018548222 0.0061544767 0.0022540507 0.00528536 0.0041759997 0.0028617256 0.005673989 0.00072779687 0.0037944363 0.0080976235 0.0027274718 0.0043173195 0.0027274718 0.0063240603 0.0008055228 0.0051087104 0.0090515325 0.014697257 0.002077401 0.0049815224 0.0044374415 0.0011446902 0.0007560609 0.0008691167 0.00042395937 0.0010387005 0.00061474106 0.00068540097 0.009793461 0.0006995329 0.051913824 0.010704974 0.02324004 0.021197967 0.09576535 0.010881623 0.017799227 0.009277644 0.05028158 0.0047059488 0.013467776 0.036439307 0.024448322 0.05105884 0.050691407 0.013559634 0.0028051978 0.046451814 0.036227327 0.07341563 0.02477336 0.00514404 0.008457989 0.011079472 0.01039407 0.0036884465 0.0012506801 0.000650071 0.00078432483 0.00083378673 0.0013425379 5.4736347 1.0 158.0 0.0 4.0 977408.0 999424.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542015900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 973824.0 512.0 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 -973824.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9723673 0.0 4.4247894 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 -973672.0 0.0 2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 981776.0 2228.0 983040.0 0.0 0.0 0.0 0.0 12.0 991232.0 28.0 981464.0 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: 0.03806151 0.004687934 0.005047292 0.004243894 0.0062154755 0.0041765827 0.0045446255 0.0037325423 0.007055786 0.006748541 0.0049202684 0.00475416 0.006417411 0.003601176 0.003959448 0.004380689 0.007862441 0.0052112285 0.006860365 0.004480571 0.0067528835 0.004119042 0.0044859992 0.003880194 0.0059147445 0.0039409916 0.0035023799 0.00293783 0.0051536877 0.0030822244 0.0032287904 0.0030626825 0.006390269 0.005015807 0.006104737 0.0037064862 0.006599804 0.005365394 0.0037759694 0.004218924 0.005967942 0.004214581 0.0040083034 0.0040734434 0.0044545145 0.0038758512 0.003654374 0.0038812796 0.0048420997 0.0037488274 0.004332919 0.0036207181 0.004083215 0.0031278227 0.0029150308 0.002536131 0.004364404 0.004148355 0.0031549647 0.0043665753 0.0039605335 0.0029801712 0.00323639 0.003252675 0.0051634586 0.004010475 0.0047682743 0.0037390564 0.006452152 0.004077786 0.0039192783 0.003265703 0.006664944 0.004364404 0.0045869667 0.0042362944 0.004526169 0.003299359 0.0043589757 0.0035827195 0.005878917 0.004490342 0.004811701 0.0045902235 0.0044881706 0.0038248245 0.004693363 0.004838843 0.0043926314 0.0032950162 0.003395984 0.003252675 0.0036836872 0.0031886203 0.0038943077 0.0039019072 0.0034752379 0.00316365 0.0037879117 0.0024525344 0.005244884 0.0032439898 0.0035012942 0.0022896836 0.0039670477 0.0034665526 0.0042254375 0.0027510943 0.00316365 0.0020834056 0.0025209317 0.002506818 0.00443063 0.0026338417 0.003604433 0.002971486 0.006251303 0.0058517754 0.0033579853 0.0030170842 0.0038421953 0.002755437 0.0027695508 0.0023113969 0.004128813 0.0035686058 0.0038009398 0.0031473648 0.004286235 0.003601176 0.0035642632 0.004274293 0.004994094 0.0043155486 0.0033265008 0.0026729258 0.0051178606 0.006937448 0.0041125277 0.0044610286 0.0035045512 0.0042124097 0.0028531477 0.0023450528 0.0047737025 0.0048920405 0.004036531 0.0029997134 0.0040929858 0.0037433992 0.0030518256 0.0034437536 0.0036554597 0.0031158803 0.0027206955 0.0019042697 0.0030301122 0.0030615968 0.0026132138 0.003289588 0.0035631775 0.002991028 0.0032885023 0.0024601342 0.0042623505 0.0036163754 0.0028401194 0.0027141816 0.003963791 0.0030159985 0.0032157623 0.0028401194 0.0036207181 0.0025198462 0.0027337235 0.0029302302 0.0038009398 0.0025155034 0.003405755 0.0022484278 0.0032114196 0.0029258877 0.0024449348 0.0026436127 0.004109271 0.002506818 0.0029269734 0.002682697 0.0032081625 0.0028205775 0.0033482143 0.003597919 0.0034024979 0.0038009398 0.0038476237 0.0031614786 0.004240637 0.0027782363 0.0031321654 0.0029074312 0.00528614 0.0038682516 0.003223362 0.0025882435 0.0033113013 0.002258199 0.0025426452 0.0024861903 0.003173421 0.0027597798 0.0037119146 0.002818406 0.003507808 0.0026772686 0.0029888568 0.002868347 0.0037216856 0.0029899424 0.0023168253 0.0021138045 0.0031462791 0.002484019 0.00256653 0.0025393881 0.003872594 0.0030116558 0.003223362 0.0023569951 0.0043220627 0.0025209317 0.0025991001 0.0024416777 0.0074032014 0.0050646625 0.0030279409 0.0053805932 0.0038009398 0.0022951118 0.0029552008 0.0025524162 0.0045511397 0.0028694326 0.0035088938 0.0026067 0.0038856221 0.0026577264 0.0034079263 0.0029649718 0.0048062727 0.0035848909 0.0030865672 0.002947601 0.0052980823 0.003060511 0.0038584804 0.0039540194 0.023353763 4.893687e-06 1.6312291e-06 2.1749722e-06 2.1749722e-06 1.0874861e-06 2.1749722e-06 2.1749722e-06 2.1749722e-06 0.0 3.2624582e-06 3.2624582e-06 6.5249164e-06 0.0 0.0 0.0 0.002124404 3.8062012e-06 3.8062012e-06 7.0686597e-06 1.9031006e-05 7.0686597e-06 3.4799556e-05 1.4681062e-05 0.0 1.0874861e-06 1.0874861e-06 0.0 1.0874861e-06 0.0 4.893687e-06 4.3499444e-06 0.0010461616 7.6124024e-06 4.893687e-06 3.2624582e-06 2.7187152e-06 3.2624582e-06 1.7943521e-05 1.5224805e-05 0.0 1.0874861e-06 1.0874861e-06 0.0 0.0 1.0874861e-06 4.893687e-06 4.3499444e-06 0.0030003742 2.9362123e-05 2.8274639e-05 2.3380951e-05 3.4255812e-05 2.7730895e-05 5.2743075e-05 3.5887042e-05 2.5555923e-05 7.6124024e-06 1.5768548e-05 1.250609e-05 1.1962346e-05 1.250609e-05 1.4681062e-05 8.156146e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016687474 2.0118492e-05 2.6099666e-05 5.2743075e-05 4.9480615e-05 3.0993353e-05 0.00012560464 0.00012560464 1.7399778e-05 3.371207e-05 4.3499444e-06 4.3499444e-06 3.8062012e-06 2.7187152e-06 3.8062012e-06 5.7636764e-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 0.0015116057 4.621816e-05 6.253045e-05 4.3499444e-05 6.796788e-05 4.621816e-05 0.000116904754 6.253045e-05 6.253045e-05 3.1537096e-05 1.6312291e-05 2.2837208e-05 4.458693e-05 2.3380951e-05 3.0993353e-05 3.7518268e-05 0.0007014285 2.501218e-05 2.2293465e-05 1.250609e-05 4.5674416e-05 1.7399778e-05 9.3523806e-05 4.458693e-05 4.458693e-05 1.6856035e-05 4.3499444e-06 1.0331118e-05 2.0662235e-05 6.5249164e-06 1.9031006e-05 2.8818382e-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 0.00059811736 4.29557e-05 3.6430785e-05 2.9905867e-05 2.9362123e-05 3.2624583e-05 3.1537096e-05 3.044961e-05 3.3168326e-05 3.3168326e-05 3.5887042e-05 3.2624583e-05 3.371207e-05 3.3168326e-05 4.132447e-05 3.9149498e-05 0.0005105747 6.1986706e-05 5.709302e-05 3.969324e-05 4.4043187e-05 5.0568102e-05 2.501218e-05 2.2293465e-05 5.6549277e-05 2.9362123e-05 3.371207e-05 3.969324e-05 3.806201e-05 2.9905867e-05 3.8605755e-05 3.6430785e-05 0.0006981661 0.0001440919 0.0001489856 5.4918048e-05 0.00016257916 5.9811733e-05 0.00012777961 0.000107117376 0.00018867884 9.569877e-05 3.6430785e-05 6.470542e-05 9.569877e-05 7.123034e-05 7.286157e-05 9.841749e-05 0.00088630116 0.00032407086 0.00032407086 0.00023000331 0.00030721482 0.00021749722 0.0002185847 0.00017889147 0.00035180175 0.0001680166 0.00012832336 0.00015442302 0.00021586599 0.00014735437 0.0002767652 0.00032515833 0.075551465 0.07383922 0.074677125 0.058224004 0.07032229 0.066211045 0.051034633 0.057848822 0.06386425 0.054063827 0.050342992 0.04810223 0.05242281 0.04610343 0.05638126 0.05646717 5942.0 5.841804 34712.0 0.016190367 0.011292924 0.018840747 0.009276331 0.019301683 0.012474072 0.009967734 0.010659138 0.015038027 0.010457478 0.008152801 0.0089018205 0.011609818 0.009333948 0.009333948 0.009622033 0.013309518 0.010169394 0.011350541 0.0082392255 0.009506798 0.007288546 0.008873012 0.0064530997 0.012560498 0.012675731 0.008786587 0.009391565 0.010342245 0.006942844 0.008037566 0.009910118 0.01233003 0.011206499 0.011091265 0.010255819 0.02048283 0.010543904 0.010313436 0.008037566 0.019445725 0.01233003 0.0106015215 0.009794883 0.013856879 0.009967734 0.011033649 0.0083832685 0.0151820695 0.010486287 0.012618115 0.012157179 0.011926712 0.008930629 0.012819774 0.012502881 0.011091265 0.008268034 0.008556119 0.0072597372 0.009449182 0.007547822 0.008613735 0.0076342477 0.009477991 0.009708459 0.009967734 0.0076342477 0.015585388 0.012387647 0.008613735 0.0062514404 0.0106015215 0.011148882 0.009362756 0.006885227 0.010342245 0.0066835675 0.0070292694 0.0075766305 0.012618115 0.0060785897 0.012387647 0.008556119 0.01858147 0.01270454 0.009766075 0.00835446 0.010313436 0.007173312 0.007374971 0.004782208 0.009881309 0.0069716526 0.010025351 0.006165015 6.5273304 2.0 0.0 0.0 8.0 921088.0 1310720.0 0.0 0.0 17.0 0.0 1.0 0.0 0.0 0.0 997726140.0 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 2.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 397312.0 4096.0 4096.0 6.0 0.0 0.0 5.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -916480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.25706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.434701 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1295664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 468.0 417900.0 2168.0 446464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.004591649 0.003947557 0.003936598 0.003909735 0.003905745 0.00390035 0.003891583 0.0039065317 0.0039262576 0.0038860193 0.0039111963 0.0038888294 0.003913669 0.0039046211 0.003892426 0.0038894475 0.003916872 0.0038608985 0.003926988 0.0039005748 0.0038824226 0.0038777583 0.0039056328 0.00387832 0.0038787136 0.0038914706 0.0039137253 0.0038859632 0.0039013615 0.0038835467 0.0038775334 0.0038920888 0.003970879 0.0038572457 0.003910634 0.0039022046 0.0039065317 0.0038784326 0.0039033848 0.003898102 0.0039032162 0.0038841648 0.003907094 0.003909679 0.0038956855 0.003880793 0.0038960227 0.0039045087 0.0039188955 0.0038866939 0.0038814112 0.0038945617 0.003914231 0.003876578 0.0038957417 0.0038973715 0.0039018674 0.003894674 0.003894112 0.0039083865 0.0039273254 0.0038966972 0.0039035534 0.0038947302 0.0039684065 0.0039157486 0.0038904028 0.003933395 0.0039002376 0.003938003 0.00390198 0.0039084987 0.0038965286 0.0038919766 0.0038991137 0.00389355 0.003912039 0.003897259 0.0039047336 0.003888773 0.003911365 0.0039083865 0.003888773 0.003922773 0.0038855136 0.003936486 0.0039030476 0.003911927 0.003908443 0.0038996194 0.0039015864 0.003938003 0.0039055764 0.003928618 0.0039157486 0.003907656 0.003880006 0.0039026542 0.0038947302 0.0039158044 0.0039429488 0.0039362046 0.0038898408 0.003922043 0.00393036 0.0039169285 0.003900631 0.0039206375 0.0039386773 0.0039100726 0.003944185 0.0039115897 0.0039177155 0.0039073187 0.0039250776 0.003895573 0.003936598 0.0039372724 0.0038987203 0.0039154114 0.0038873681 0.0038987764 0.0038860757 0.0039043964 0.0038730938 0.0039081057 0.0038736558 0.003902092 0.0039279996 0.0039158044 0.0038755103 0.003909454 0.0039007997 0.003913051 0.0039203567 0.0038936061 0.0038817483 0.003925808 0.003909454 0.004005947 0.0038902343 0.00393154 0.0038921451 0.0038966972 0.003913388 0.0038933815 0.0039006872 0.00387152 0.0039021485 0.0038962476 0.0039126575 0.0038883798 0.0038943929 0.003925752 0.0038908524 0.00392356 0.0038986641 0.0038684853 0.0038910774 0.003886806 0.0038931565 0.0039163665 0.0038752293 0.0038971468 0.003919907 0.003910747 0.003911421 0.0039031599 0.0039009121 0.003876578 0.003901755 0.0038891104 0.0039049021 0.0039066444 0.0039074873 0.0038971468 0.0038898971 0.0039114775 0.003885345 0.0039172657 0.0038746672 0.0039049021 0.0038632029 0.0038863004 0.0039053517 0.003909679 0.003928618 0.0039054079 0.003886469 0.003882535 0.0038812426 0.0038986641 0.003947107 0.003881973 0.0038874806 0.003925864 0.0038770277 0.0039044525 0.003906925 0.0039178277 0.0038906278 0.003880849 0.0038773087 0.0038956855 0.0039024295 0.0039026542 0.0038654506 0.003901193 0.003921256 0.0039235037 0.003912826 0.0038888294 0.003907431 0.0038879302 0.0039123204 0.0038851202 0.003911927 0.003911646 0.0039046772 0.003874274 0.0038637647 0.0039117583 0.003880231 0.0038942243 0.003924347 0.0039041715 0.003913388 0.0039027666 0.0038946178 0.0038758474 0.0039001252 0.0038751168 0.003982681 0.00388276 0.0039050146 0.0039041715 0.0039067566 0.0039014178 0.0038825914 0.003884502 0.0039008558 0.0038811301 0.0039104656 0.0039028227 0.003907712 0.003887087 0.00390434 0.0038801748 0.003909117 0.003942218 0.0039001815 0.0039090044 0.0038953484 0.003866968 0.0038937186 0.00411087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1001575e-05 3.372302e-07 4.2153778e-07 4.4964028e-07 3.035072e-06 4.777428e-07 5.3394783e-06 2.6416367e-06 1.517536e-06 6.4635793e-07 1.4051258e-07 1.686151e-07 2.2482014e-07 1.9671762e-07 1.4051258e-07 8.14973e-07 3.0378822e-05 5.3394785e-07 3.091277e-06 1.686151e-07 1.4332284e-06 5.6205033e-07 1.3770234e-05 7.6157826e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.748314e-05 1.0116906e-06 1.1100495e-05 1.4051259e-06 7.3909623e-06 3.5409173e-06 3.7432554e-05 1.941884e-05 8.430755e-08 5.6205035e-08 8.430755e-08 5.6205035e-08 8.14973e-07 1.1241007e-07 9.835882e-07 1.6861511e-06 0.00013531362 1.7704587e-06 3.248651e-05 1.5372078e-05 1.126911e-05 4.9179407e-06 3.7123427e-05 1.9362635e-05 4.5245056e-06 4.9741457e-06 1.461331e-06 1.0116906e-06 4.3558903e-06 1.2927159e-06 5.0303506e-06 7.503372e-06 7.857464e-05 2.1357914e-06 1.2168391e-05 3.8781477e-06 1.4163669e-05 8.065423e-06 4.8504946e-05 2.5966727e-05 4.3839927e-06 1.3208183e-06 8.7117803e-07 2.107689e-06 4.187275e-06 1.4051259e-06 1.1437724e-05 1.104429e-05 0.00010319245 2.1919964e-06 1.2477518e-05 1.11567e-05 1.3545414e-05 6.182554e-06 3.6139838e-05 2.2453913e-05 1.0791367e-05 1.0678957e-05 1.8547662e-06 3.0631745e-06 1.261803e-05 2.4449191e-06 1.0959982e-05 2.801821e-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 0.00011991344 1.1241007e-05 1.4135567e-05 1.4332284e-05 4.274393e-05 3.3947843e-05 1.9334533e-05 2.489883e-05 6.25281e-05 5.479991e-06 6.8008094e-06 9.863984e-06 3.1755844e-05 2.0177607e-05 3.0294514e-05 7.053732e-05 0.00030710432 4.5048335e-05 6.7895686e-05 6.427046e-05 0.000119576216 0.00011932329 8.8213805e-05 9.633543e-05 0.0001963242 2.2875449e-05 2.5713804e-05 3.7011017e-05 0.000108110384 6.710881e-05 0.00010426034 0.00019989321 0.062276978 0.062210545 0.062255874 0.062276922 0.06232849 0.062397905 0.062372837 0.062248763 0.0623118 0.062313735 0.062376827 0.06227889 0.062204923 0.06230081 0.06227931 0.06228482 82637.0 5.670317 468578.0 0.011682154 0.010079431 0.010320587 0.010341928 0.010376074 0.010109309 0.010282173 0.010009006 0.010474243 0.010147723 0.01034833 0.010294978 0.010320587 0.010226686 0.010425159 0.010514791 0.010277905 0.010169065 0.010105041 0.010107175 0.010487048 0.010094371 0.010256563 0.010647107 0.01036327 0.010162663 0.010079431 0.010205344 0.010495584 0.010378208 0.0100154085 0.010038883 0.010209613 0.010459305 0.010440097 0.01037394 0.010053823 0.010213881 0.010305648 0.010292844 0.010412354 0.010559608 0.010423024 0.010151992 0.010252295 0.010320587 0.010448634 0.0104379635 0.010602291 0.010376074 0.0103013795 0.010685521 0.010361135 0.010365403 0.010248027 0.010540401 0.010299246 0.010102907 0.010273636 0.010691923 0.010376074 0.010553205 0.010128517 0.010277905 0.010359001 0.010898933 0.010463573 0.010785825 0.010685521 0.011874224 0.010294978 0.010282173 0.010642839 0.010948017 0.0099812625 0.010416622 0.011076064 0.010478511 0.011050454 0.010811434 0.010796495 0.010322721 0.010905335 0.010787958 0.011353499 0.010568145 0.010339794 0.010602291 0.010250161 0.010405951 0.010164796 0.010173333 0.010179736 0.010260832 0.010299246 0.010164796 6.5842876 1.0 2.0 0.0 293.0 17794044.0 86016.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41984.0 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 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.154335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6449018 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.5970945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41480.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 11264.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13588318 0.00705005 0.004125585 0.0054520387 0.005734041 0.0041986965 0.0034571358 0.0046791444 0.0056087067 0.004167363 0.003843583 0.0033840241 0.0067158258 0.004794034 0.005984709 0.006360712 0.0070604947 0.0033840241 0.0040629175 0.0047835894 0.0067784926 0.0048149233 0.005472928 0.0036973597 0.0058280416 0.0042091412 0.003363135 0.0037809159 0.007196273 0.0057027075 0.00575493 0.0051073697 0.00402114 0.002757353 0.00282002 0.0024753509 0.004125585 0.0037286931 0.0032064673 0.003363135 0.0034571358 0.002276905 0.0020471257 0.0023291276 0.004052473 0.003425802 0.0037495822 0.0028095755 0.004522477 0.0031960227 0.0026320186 0.0027677976 0.0046060327 0.0041986965 0.00282002 0.0037286931 0.005274482 0.004010695 0.0032900234 0.0030706886 0.0055669285 0.0047418117 0.0046582553 0.003864472 0.0048253676 0.0023917947 0.0028304646 0.0026424632 0.0041046957 0.002799131 0.0032273564 0.0024126838 0.0038122493 0.0029035762 0.0027469085 0.002517129 0.0049298126 0.0031542447 0.0037913602 0.0034466912 0.0045015877 0.0028095755 0.003060244 0.002558907 0.0045642545 0.0027782419 0.0032482452 0.0030184658 0.00487759 0.004031584 0.0032795789 0.0024649063 0.004428476 0.0038226938 0.0041360296 0.003300468 0.004407587 0.0032586898 0.0027260194 0.0028304646 0.0034362467 0.002997577 0.0021202373 0.0021620153 0.0053267046 0.0046895887 0.0031542447 0.002558907 0.0038749164 0.0022246826 0.0040942514 0.0030811331 0.0033735796 0.0021829044 0.0029662433 0.0031438002 0.004407587 0.003363135 0.00282002 0.0025902407 0.0044180313 0.0031124665 0.0037391377 0.0025484625 0.003404913 0.003300468 0.003624248 0.0023917947 0.0054311496 0.0024753509 0.0027155748 0.0029035762 0.003300468 0.0026006852 0.0018695688 0.0025902407 0.00358247 0.0031960227 0.00249624 0.0028931317 0.004042029 0.003927139 0.0032169118 0.0020889037 0.003843583 0.003425802 0.0026737968 0.0017964572 0.0045746993 0.004647811 0.003237801 0.0033735796 0.0045433654 0.0033318014 0.0024126838 0.0017651237 0.004052473 0.0034153576 0.0025902407 0.0037704713 0.003425802 0.0023709058 0.002214238 0.0024126838 0.0039166943 0.0025066845 0.002276905 0.0021202373 0.0028409092 0.002015792 0.0018904579 0.002256016 0.0031751336 0.0020366812 0.0027782419 0.0021620153 0.0031960227 0.0018277908 0.001932236 0.0021411264 0.0027782419 0.0023395722 0.0021515707 0.002235127 0.003864472 0.002276905 0.002318683 0.001994903 0.0037495822 0.0035615808 0.0027155748 0.002318683 0.005096925 0.0024231283 0.0022037935 0.0027051303 0.0038749164 0.0026111298 0.0020889037 0.0023813504 0.0030915774 0.0019426805 0.002235127 0.001953125 0.0042091412 0.0021829044 0.00249624 0.0027677976 0.0034571358 0.0021515707 0.0028095755 0.0023291276 0.0047835894 0.002757353 0.0027469085 0.0023291276 0.0036973597 0.0025797961 0.0032064673 0.002861798 0.0043240306 0.002517129 0.0033526905 0.003342246 0.0048253676 0.0028095755 0.0033318014 0.0027886864 0.004647811 0.0020993482 0.0029140208 0.002454462 0.004522477 0.0023917947 0.0025902407 0.0026737968 0.0036973597 0.0025380182 0.0028826871 0.0026424632 0.003948028 0.001932236 0.0024231283 0.0020680148 0.007426053 0.0037913602 0.0023709058 0.004752256 0.0040733623 0.0018591243 0.002621574 0.0016920121 0.0037182486 0.0028931317 0.0032273564 0.0035198028 0.032608695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009394106 1.5922215e-05 0.000111455505 1.5922215e-05 0.00012737772 0.00011676291 0.0006740404 0.00035559613 5.307405e-06 5.307405e-06 5.307405e-06 1.061481e-05 1.061481e-05 1.061481e-05 5.307405e-06 5.307405e-06 0.009500255 6.899626e-05 7.9611076e-05 7.4303665e-05 6.368886e-05 7.9611076e-05 0.00015391475 6.368886e-05 6.899626e-05 7.4303665e-05 7.4303665e-05 0.00018575917 7.9611076e-05 0.00016983696 6.368886e-05 6.899626e-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 0.008428159 0.00048297385 0.00014329993 0.0002176036 0.00021229619 0.00020168138 0.00014329993 0.00020168138 8.491848e-05 0.00014860733 6.899626e-05 6.368886e-05 7.4303665e-05 0.00019637398 8.491848e-05 0.00011676291 0.007828422 6.899626e-05 0.00029721466 0.00014860733 0.00020168138 0.00016452956 0.00071119226 0.00041397757 0.00024944803 6.368886e-05 2.122962e-05 7.9611076e-05 0.00028659985 6.368886e-05 0.00010084069 0.00016983696 0.0073985225 0.00018575917 0.00017514436 0.00018045177 0.00019106657 0.00017514436 0.00044051462 0.00019106657 0.00018575917 0.00018045177 0.00018045177 0.00040867017 0.00017514436 0.00042459238 0.00019106657 0.00018575917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006029212 0.00025475543 0.00025475543 0.00025475543 0.00025475543 0.00025475543 0.0005944293 0.00025475543 0.00025475543 0.00025475543 0.00025475543 0.0005944293 0.00025475543 0.0005944293 0.00025475543 0.00025475543 0.0055409307 0.0005254331 0.00067934784 0.00044051462 0.0003184443 0.00021229619 0.00024414062 0.00027598505 0.00082795514 6.368886e-05 5.3074047e-05 0.00011676291 0.00060504413 0.00023352582 0.00019106657 0.0005413553 0.0047872793 0.00057850714 0.00027598505 0.0009447181 0.00033967392 0.00044582202 0.00042459238 0.00035559613 0.00066873303 6.368886e-05 0.00024414062 0.00010084069 0.00041928497 0.00016983696 0.00040867017 0.000642196 0.0069633154 0.0016718325 0.0011941661 0.0016718325 0.0010720958 0.00096064026 0.0010030995 0.0008969514 0.0016930621 0.00027067764 0.0005944293 0.00038213315 0.00093941065 0.0005466627 0.0007589589 0.0011198624 0.010179603 0.0026961616 0.0014595364 0.0018522843 0.0015709918 0.0015497622 0.0015869141 0.0015391475 0.00139054 0.0014966882 0.0011357847 0.001008407 0.0012737772 0.0013056216 0.0011623217 0.0014011549 0.09492824 0.07537045 0.046482254 0.05779764 0.048748516 0.053265117 0.04746412 0.047373895 0.044290293 0.051412832 0.0382027 0.03894574 0.04043181 0.046105426 0.047060758 0.04820716 421.0 6.1068883 2571.0 0.010112797 0.0050563985 0.0070011667 0.0062232595 0.012835473 0.009723843 0.008556982 0.008168028 0.010890704 0.005445352 0.0070011667 0.0070011667 0.010890704 0.0077790744 0.015558149 0.0073901205 0.008945935 0.0070011667 0.0077790744 0.005445352 0.012446519 0.010501751 0.0050563985 0.005445352 0.017113963 0.008945935 0.0070011667 0.004278491 0.016336055 0.009334889 0.015169195 0.0066122133 0.01361338 0.0062232595 0.0046674446 0.0070011667 0.008168028 0.008556982 0.0066122133 0.0058343057 0.008556982 0.009334889 0.014002333 0.008168028 0.022170361 0.0073901205 0.012446519 0.009334889 0.009334889 0.008168028 0.008556982 0.009723843 0.017113963 0.0046674446 0.0066122133 0.0050563985 0.017113963 0.0073901205 0.0073901205 0.0062232595 0.011668611 0.008168028 0.010890704 0.0062232595 0.0066122133 0.010501751 0.0073901205 0.009334889 0.015947102 0.027615713 0.0046674446 0.0046674446 0.017502917 0.01789187 0.0073901205 0.008168028 0.019058732 0.008945935 0.015169195 0.018669778 0.01361338 0.0066122133 0.026448853 0.020614548 0.021392453 0.014391287 0.0058343057 0.010112797 0.015558149 0.01361338 0.0112796575 0.010112797 0.008168028 0.014780241 0.012446519 0.012057565 6.4424114 0.0 0.0 0.0 1.0 95744.0 110592.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 558322500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 4.0 0.0 3072.0 512.0 4096.0 3.0 0.0 2.0 1.0 3.0 94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.897472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.06116285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102400.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 106496.0 88.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.60170007 0.008757149 0.0043544616 0.0036551948 0.003083583 0.0039984453 0.0025531047 0.009158554 0.006199789 0.0028651508 0.0016283133 0.0013673294 0.0011517338 0.0016708651 0.0010269154 0.0052962736 0.0036395923 0.0006836647 0.001007058 0.0004921818 0.0008737291 0.0022765181 0.00033757716 0.00037303695 0.0016793754 0.0005999796 0.0009120257 0.0004623956 0.00058154046 0.000496437 0.0003631082 0.0003673634 0.0043984316 0.0012183982 0.00031204612 0.00027374955 0.0118676815 0.0005120393 0.00029218863 0.00023545297 0.0015389547 0.00027516793 0.00027233115 0.0006170003 0.00042693582 0.0005474991 0.00030637256 0.00026949437 0.0025772173 0.00045530364 0.0006751543 0.002652392 0.0009035153 0.000496437 0.00088791305 0.00052338646 0.0015332812 0.0008808211 0.00029077023 0.001677957 0.00043402778 0.00045246686 0.00035601624 0.00033615876 0.0029233047 0.00574023 0.001409881 0.00256587 0.004914726 0.003616898 0.0018311433 0.0009106073 0.023524022 0.004801255 0.0005446623 0.00082266703 0.0058480278 0.0019900033 0.0018836238 0.0020850354 0.0037559005 0.0005248048 0.0017885916 0.0016893042 0.00284813 0.0010708856 0.0011219477 0.0019545434 0.0013928604 0.00069784856 0.00027374955 0.00126095 0.002214109 0.00048367147 0.00047657953 0.0041785813 0.0012637868 0.001717672 0.00037020017 0.00158718 0.0014680352 0.0037133489 0.0023602033 0.0005276416 0.0034438544 0.0029218863 0.0022892838 0.0005985612 0.0018651847 0.0006907566 0.0014169731 0.0016354054 0.0025133896 0.0002794231 0.0021871596 0.0012325821 0.0040353234 0.0017729893 0.0007801153 0.00043970134 0.00082408544 0.0007446555 0.00027233115 0.00037303695 0.00061558187 0.00025531047 0.00034041394 0.000503529 0.0018538376 0.0005857957 0.00038863925 0.004343115 0.005619667 0.004711896 0.00042693582 0.00047657953 0.000927628 0.006228157 0.00065529684 0.012515886 0.0010226602 0.006812534 0.0004779979 0.00024396332 0.012396741 0.0003645266 0.0003163013 0.00041984385 0.00044253812 0.00033474038 0.00022126906 0.00016169662 0.00047657953 0.00022694263 0.00017588053 0.00018439088 0.00044253812 0.00021275872 0.00022977941 0.00027374955 0.0007290532 0.00016311501 0.00025247366 0.00023545297 0.0005006922 0.00020424837 0.00021275872 0.00037303695 0.00037020017 0.00027374955 0.00024963688 0.00027658633 0.00036878177 0.0002638208 0.00023545297 0.00022694263 0.00065246003 0.00022694263 0.0001659518 0.0001985748 0.0003815473 0.00015885984 0.00047657953 0.00054040714 0.0017190904 0.0005120393 0.0006198371 0.0002482185 0.00039289444 0.00020566676 0.0002482185 0.00022977941 0.003449528 0.00076876814 0.00034325072 0.0019545434 0.0015673225 0.0003787105 0.0030821646 0.0013247776 0.0011020901 0.001235419 0.00039573121 0.0007659314 0.0004453749 0.00044111974 0.00045672205 0.00056877494 0.0008723107 0.00035459787 0.00079288083 0.0003304852 0.00032055646 0.00030211738 0.00033332198 0.0002822599 0.0016368238 0.00036878177 0.00030495416 0.000927628 0.00040282318 0.0002624024 0.00033474038 0.00026523918 0.00080564636 0.00032055646 0.00026098403 0.00034183235 0.00035743465 0.00029218863 0.0002822599 0.0001829725 0.004605517 0.0018736951 0.00038580247 0.0012226534 0.0014269018 0.0004141703 0.0003163013 0.00035601624 0.001449596 0.00039573121 0.00037587373 0.0006425313 0.0003787105 0.00020424837 0.000626929 0.00033899554 0.0008737291 0.00065671524 0.0070153642 0.00044821168 0.0007957176 0.0016495893 0.0083287945 0.011625136 0.3841828 9.6661206e-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 0.0013916371 2.1322326e-06 2.8429768e-06 2.1322326e-06 9.950419e-06 1.0661162e-05 1.2793395e-05 3.553721e-06 2.1322326e-06 1.4214884e-06 2.1322326e-06 4.264465e-06 2.1322326e-06 2.8429768e-06 2.8429768e-06 2.1322326e-06 0.008010087 5.47273e-05 5.828102e-05 1.8479348e-05 4.6909117e-05 2.0611582e-05 0.00013148767 1.3504139e-05 4.9752092e-05 4.1933905e-05 2.558679e-05 1.2082651e-05 1.6347116e-05 8.52893e-06 8.52893e-06 0.00021677697 0.008912732 0.00019190092 0.00013717363 0.00010163642 0.00013930586 3.3404976e-05 0.00016204968 4.5487628e-05 3.6958696e-05 4.3355394e-05 3.9801675e-05 1.9190093e-05 2.4876046e-05 3.8380185e-05 3.624795e-05 0.0002267274 0.01449776 0.00029709106 0.00024165302 0.000121537254 0.00025231417 0.0001094546 0.0004648267 7.960335e-05 9.6661206e-05 0.0002075373 9.6661206e-05 5.3305812e-05 5.757028e-05 6.183474e-05 5.828102e-05 0.00077115744 0.034586232 0.00064109126 0.00055864494 0.00040085972 0.0005422978 0.00027932247 0.0015707447 0.00027576875 0.0003589258 0.0005742813 0.00032267786 0.0002622646 0.00014001661 0.00016986785 0.00014925627 0.0028358693 0.06335431 0.0009481327 0.0011272402 0.00085857895 0.012145196 0.009119558 0.0037932417 0.0010334221 0.001683753 0.0005437193 0.00048472753 0.0002814547 0.0003475539 0.00023170261 0.0003248101 0.005614879 0.018902242 0.0006226119 0.00053376885 0.0003681655 0.0016318687 0.0011393229 0.0031052413 0.0014939843 0.00021748772 0.00014285959 0.00016773562 0.00010874386 0.00014570255 8.813228e-05 8.955377e-05 0.0018102655 0.01571953 0.0006048433 0.00055722345 0.0010149427 0.0026325965 0.0016816207 0.0064642183 0.0031294066 0.00046127298 0.00018976869 0.00015778521 0.00015067776 0.00018621498 0.00014712404 0.00014357033 0.0016937034 0.034761786 0.002461307 0.0017157365 0.0021137532 0.005123044 0.0032743984 0.0040100184 0.0025302493 0.0023681996 0.00078110787 0.00039517376 0.00056859537 0.0009865129 0.00061124 0.001122265 0.004134399 0.01190994 0.0013162983 0.0005956036 0.0008066946 0.00065814913 0.00094386825 0.0014271743 0.001094546 0.00051528955 0.0004392399 0.0003525291 0.0004342647 0.00042431426 0.00048330604 0.00047264487 0.0014158024 0.010146583 0.00046198373 0.0021663483 0.00037598368 0.0016340009 0.00034471092 0.0012210585 0.00045558703 0.0030128446 0.00042857873 0.0005231077 0.0006375375 0.0016951249 0.00031130595 0.0006240334 0.0007064797 0.0079845 0.00060200033 0.002174877 0.0005515375 0.0013248272 0.00046056224 0.0006652566 0.00046909114 0.0029815717 0.0005003639 0.00030846297 0.00068800035 0.0017256868 0.00041081014 0.00044350437 0.00054300856 0.029393537 0.0039304155 0.008859426 0.0052467133 0.025112012 0.0052438704 0.002933952 0.0037157706 0.02331383 0.0081138555 0.0011777031 0.0022360012 0.007846615 0.0034350266 0.0059389784 0.009062699 0.013694619 0.0028095718 0.004530283 0.0030334562 0.013978206 0.0029915222 0.0016816207 0.0026631583 0.012113213 0.0047463495 0.0007256698 0.001372447 0.0045693745 0.0019801334 0.003926151 0.0066980533 0.00046056224 0.00011798353 0.00013717363 0.0001336199 0.00029495882 0.00012935544 0.00025231417 0.00018692572 0.00017200009 0.0001592067 0.0001656034 0.00015707446 0.0001464133 0.00012366948 0.00013006618 0.00014428106 1742.0 16.783583 29237.0 0.0076273214 0.004035982 6.840647e-05 0.00013681295 0.013168246 0.00010260971 0.0 0.00013681295 0.0016417553 0.00013681295 3.4203236e-05 0.00013681295 0.00013681295 0.0015049424 0.0008550809 0.00013681295 0.0042754044 0.00078667444 0.0010945036 0.003317714 0.0026678524 0.0002736259 0.002770462 0.00013681295 0.0016759585 0.0025994459 6.840647e-05 0.0014707391 0.00017101617 6.840647e-05 0.00010260971 6.840647e-05 0.0019495845 0.048671205 0.014331155 0.025036769 0.021855868 0.032937717 0.018230325 0.0033861203 0.018093511 0.027499402 0.00010260971 0.0031809008 0.018948592 0.015186236 0.019359032 0.020727161 0.028320279 0.0017785683 0.02103499 0.021958478 0.031672195 0.013886514 0.015357253 0.021753257 0.0037281527 0.005369908 0.00023942265 0.0009576906 0.007422102 0.005130485 0.0047884528 0.04915005 0.00082087767 0.028970141 0.0031124945 0.016212333 0.016246537 0.06956938 0.017683072 0.005643534 0.005096282 0.031774808 0.0010260971 0.0022232104 0.022745151 0.010124158 0.023531826 0.021821665 0.01628074 0.000581455 0.031398572 0.015801895 0.044908848 0.012620994 0.0061907857 0.0044122175 0.0055751274 0.0076273214 0.00116291 0.00030782912 0.0011971132 3.4203236e-05 0.00010260971 0.001744365 5.5659523 0.0 0.0 0.0 2.0 705024.0 720896.0 1.0 4.0 207.0 1.0 1.0 0.0 0.0 0.0 1514773100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 313344.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 281600.0 0.0 0.0 0.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -313344.0 0.0 62976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1490927 0.0 0.0 0.0 0.0 3.3285003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0118725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6321025 0.0 0.48105893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 281348.0 0.0 0.0 0.0 0.0 23256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -313084.0 0.0 62768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 -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 -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 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 -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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 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 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 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 183.0 499128.0 180.0 585908.0 62768.0 643072.0 23256.0 618496.0 0.0 0.0 12080.0 708608.0 56.0 317088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1720.0 319488.0 320.0 583944.0 0.0 0.0


Input: 0.14584619 0.0049342103 0.0049170777 0.0035850124 0.0041760895 0.0030667488 0.0040518777 0.0034393845 0.0035121986 0.0027926262 0.0050455728 0.0031395627 0.0032594914 0.0029982182 0.0028311745 0.0034693668 0.0028825726 0.0032637746 0.0030581825 0.0033151726 0.003250925 0.003118147 0.0031652618 0.0031052975 0.0029296875 0.0030025013 0.002916838 0.0031395627 0.002895422 0.0029725193 0.003345155 0.0033280223 0.0034822163 0.0031481292 0.002839741 0.0029853687 0.0030795983 0.0029339707 0.003071032 0.0027540775 0.003550747 0.003019634 0.0038334362 0.0030881648 0.0035121986 0.0027712102 0.003961931 0.0035207649 0.0036706757 0.0035164817 0.00294682 0.0035678796 0.0031481292 0.0029853687 0.0030282005 0.0033365886 0.0030624657 0.0029896519 0.0030795983 0.0029339707 0.0028525905 0.003726357 0.0033151726 0.0034993489 0.0028825726 0.0029082717 0.0033622875 0.003572163 0.0029853687 0.0029553864 0.003092448 0.0034351014 0.0032123767 0.0032766243 0.0029553864 0.0030110676 0.0030239173 0.0032894737 0.003195244 0.0034822163 0.0029896519 0.0026684143 0.0033922698 0.00355503 0.0029896519 0.003345155 0.0031052975 0.0035593132 0.003250925 0.0031309964 0.0028997054 0.0033365886 0.0032123767 0.0033622875 0.00373064 0.0043045846 0.0032552083 0.0042189215 0.0036064282 0.0043260003 0.0032552083 0.006146347 0.0034393845 0.0040433113 0.0031052975 0.0044759116 0.0031095806 0.0033108895 0.003880551 0.0038848342 0.0047286185 0.0052340324 0.0034308182 0.0032337925 0.0047500343 0.0052126166 0.005276864 0.0040775766 0.003375137 0.0034608005 0.0032937569 0.003936232 0.0034993489 0.0035421806 0.0039447984 0.0034822163 0.0036064282 0.003859135 0.0030367668 0.0031524124 0.0034650837 0.0031866776 0.0026983963 0.0031866776 0.0034008361 0.0032166599 0.0028054756 0.003199527 0.0029982182 0.0029725193 0.0029039886 0.0031566955 0.0030239173 0.0039233826 0.0028097588 0.0025998836 0.002993935 0.002814042 0.0030324836 0.0030496162 0.0032594914 0.0033408718 0.0029511033 0.0034907826 0.0034008361 0.0034393845 0.0032123767 0.0034351014 0.0030967311 0.0032123767 0.0039919135 0.0032380756 0.0032123767 0.0031309964 0.0027583607 0.003195244 0.0032123767 0.0033794201 0.003199527 0.003045333 0.0030667488 0.0032380756 0.0027840598 0.0031609787 0.0033879867 0.0037991707 0.0026812637 0.0034179688 0.0027797767 0.003019634 0.0027497944 0.002963953 0.003627844 0.003396553 0.0028740063 0.003323739 0.003246642 0.0030324836 0.0032594914 0.0034650837 0.0034008361 0.0038420025 0.0027754933 0.00355503 0.0026855469 0.0029553864 0.0028697231 0.0027583607 0.0030667488 0.0036835251 0.0026512814 0.0028097588 0.0031909607 0.003422252 0.0032637746 0.003268058 0.0033837033 0.0039233826 0.0035336143 0.0033151726 0.0027455112 0.0032080936 0.0029810856 0.002891139 0.00312243 0.0033879867 0.0030795983 0.0029039886 0.0029254043 0.0032594914 0.0030025013 0.00329804 0.003323739 0.003349438 0.0023985745 0.0027540775 0.0027926262 0.0036107113 0.0026726974 0.0034351014 0.0032295093 0.0035978619 0.0033537212 0.0028568737 0.0030239173 0.0033323055 0.0027797767 0.0032637746 0.0032337925 0.0031866776 0.0029082717 0.0029553864 0.0030881648 0.003602145 0.0035464638 0.0034479508 0.003199527 0.0035378975 0.0037135074 0.0035593132 0.0037092243 0.003503632 0.0036578262 0.0040133293 0.0037991707 0.010857833 0.021899521 0.0 1.0755093e-05 2.1510186e-06 2.1510186e-06 0.0 2.1510186e-06 0.0 0.0 0.0 2.1510186e-06 0.0 1.0755093e-05 0.0 2.1510186e-06 9.464483e-05 0.012568402 7.528566e-05 3.656732e-05 7.098362e-05 1.5057131e-05 2.1510186e-06 2.7963244e-05 0.0 4.3020373e-06 0.0 2.1510186e-06 0.0 2.1510186e-05 0.0 4.3020373e-06 0.00038718336 0.015930444 7.528566e-05 4.3020373e-05 4.7322414e-05 3.4416298e-05 0.000109701956 7.098362e-05 4.947343e-05 0.00011830603 0.00012045705 5.8077505e-05 3.8718335e-05 3.0114263e-05 6.4530564e-06 1.7208149e-05 0.00087116257 0.0039191563 8.6040745e-06 2.1510186e-06 1.0755093e-05 1.0755093e-05 3.226528e-05 4.5171393e-05 5.3775468e-05 3.656732e-05 2.7963244e-05 3.226528e-05 8.388973e-05 5.3775468e-05 2.3661207e-05 1.2906113e-05 5.162445e-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 0.019516192 0.00027317938 0.00061519135 0.0004474119 0.00029253855 0.00026672633 0.00093784416 0.0007808198 0.0005936812 0.00025812225 0.00055496284 0.00027102837 0.00017853455 0.000109701956 0.00015702436 0.0011787582 0.013013664 0.00046246903 0.000580775 0.0002903875 0.00073995045 0.00061304035 0.0027877202 0.0016154151 0.00039363644 0.00027317938 0.00020434678 0.00020004474 9.464483e-05 6.668158e-05 9.0342786e-05 0.0006001342 0.0234375 0.0015272233 0.001606811 0.0007464035 0.0009679584 0.0010539992 0.0036976011 0.0023489124 0.0007248933 0.00063885254 0.00040654253 0.00044526087 0.00033555893 0.000230159 0.00035276706 0.0011271338 0.0060271546 0.0002882365 0.0002882365 0.00027533039 0.00055926485 0.00039578744 0.0019380678 0.001380954 0.0002538202 0.00019789372 0.00016562844 0.00021725289 0.000230159 0.0001269101 0.00016562844 0.0007055341 0.010524934 0.001038942 0.00089267275 0.00062594644 0.0007033831 0.0007055341 0.0024801246 0.0017444761 0.00083459524 0.00036352215 0.0002882365 0.00021295085 0.0002064978 0.0001613264 0.00016993048 0.0010733583 0.013478284 0.0012346847 0.0014669948 0.0013723499 0.0012777051 0.00079802796 0.0031878098 0.001970333 0.0013766519 0.00054205675 0.00086686056 0.00039793845 0.0006474566 0.00047537513 0.00043020374 0.0013142724 0.0057948446 0.0005226976 0.0004474119 0.00046677107 0.0005226976 0.00038288132 0.00054635876 0.00051194243 0.00066896685 0.00042805274 0.00046246903 0.00040439153 0.00039578744 0.00030329364 0.00033770993 0.0010195829 0.0042073927 0.0006474566 0.0004710731 0.00062809745 0.0004474119 0.00051194243 0.0007313464 0.00087116257 0.00063670153 0.00046246903 0.00047967717 0.0004947343 0.00032695485 0.0004129956 0.00034631402 0.0015401294 0.005211918 0.0009012768 0.0011680032 0.0010647543 0.001032489 0.0009313911 0.0016347743 0.0014476356 0.0013056684 0.0007270443 0.0010798114 0.0008969748 0.0009851665 0.00080878305 0.00075070554 0.0020800352 0.04266976 0.04277301 0.04396252 0.04579089 0.04422064 0.047247127 0.046117842 0.04939169 0.04357749 0.046315733 0.047417056 0.047632158 0.046943832 0.047810692 0.046890058 0.05132761 1228.0 9.498371 11664.0 0.012602881 0.003600823 0.007115912 0.004458162 0.009087792 0.004286694 0.005315501 0.0031721536 0.004115226 0.0055727023 0.008916324 0.004286694 0.007544582 0.006001372 0.017146775 0.0068587107 0.012688614 0.011145405 0.0055727023 0.0076303156 0.0061728396 0.0078017833 0.0060871057 0.009002058 0.0060871057 0.0054012346 0.005915638 0.003600823 0.005915638 0.008058985 0.005229767 0.0040294924 0.0040294924 0.011231138 0.007887517 0.012517147 0.008744856 0.008058985 0.0061728396 0.010973937 0.010030864 0.007201646 0.0055727023 0.0047153635 0.005229767 0.010973937 0.0061728396 0.0078017833 0.007115912 0.0054869684 0.009002058 0.0141460905 0.0116598075 0.007544582 0.006001372 0.0062585734 0.00574417 0.006344307 0.0054869684 0.006001372 0.006430041 0.006344307 0.007973251 0.0136316875 0.0046296297 0.027949246 0.012774348 0.019290123 0.013374486 0.059070643 0.009087792 0.013288752 0.0068587107 0.032150205 0.004972565 0.007201646 0.021004802 0.019032922 0.03386488 0.030778464 0.012602881 0.004458162 0.03155007 0.03292181 0.043638546 0.018947188 0.0076303156 0.00840192 0.00574417 0.013888889 0.005658436 0.0040294924 0.00574417 0.0054869684 0.0054869684 0.0055727023 6.204182 1.0 0.0 0.0 3.0 233472.0 262144.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2913713200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 180736.0 512.0 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 -180736.0 0.0 51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6338124 0.0 6.6370473 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 -180268.0 0.0 51240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 188371.0 51240.0 196608.0 0.0 0.0 0.0 0.0 12.0 253952.0 56.0 188200.0 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: 0.39941406 0.025976563 0.019335937 0.009277344 0.018652344 0.009472656 0.01640625 0.008886719 0.008398438 0.0034179688 0.011914062 0.003125 0.0030273437 0.0028320313 0.0033203126 0.0010742188 0.0043945312 0.0067382813 0.0032226562 0.0063476562 0.0017578125 0.0012695312 0.0038085938 0.0036132813 0.0016601563 0.0009765625 0.0009765625 0.00078125 0.0025390624 0.0009765625 0.00068359374 0.0008789062 0.01640625 0.00068359374 0.0030273437 0.0020507812 0.0012695312 0.0010742188 0.0010742188 0.00078125 0.0041015623 0.0010742188 0.0028320313 0.0034179688 0.0020507812 0.0026367188 0.0073242188 0.0015625 0.0051757814 0.0026367188 0.0024414062 0.0020507812 0.0012695312 0.0013671875 0.001171875 0.0018554687 0.0010742188 0.00068359374 0.0018554687 0.0008789062 0.0015625 0.0015625 0.0013671875 0.0013671875 0.001171875 0.0065429686 0.001171875 0.0033203126 0.0025390624 0.0014648438 0.0017578125 0.00078125 0.001171875 0.0032226562 0.0010742188 0.00048828125 0.0016601563 0.0010742188 0.001171875 0.0013671875 0.0043945312 0.0005859375 0.0028320313 0.003515625 0.0013671875 0.0010742188 0.001171875 0.0010742188 0.0017578125 0.00068359374 0.000390625 0.00078125 0.0013671875 0.00078125 9.765625e-05 0.0021484375 0.00078125 0.015429688 0.0053710938 0.0072265626 0.0065429686 0.031542968 0.0020507812 0.0046875 0.0026367188 0.018066406 0.0005859375 0.0020507812 0.012011719 0.00859375 0.013769532 0.015917968 0.007910157 0.0009765625 0.017480468 0.019628907 0.021582032 0.0078125 0.0024414062 0.0017578125 0.0022460937 0.005859375 0.000390625 0.004003906 0.0001953125 0.0018554687 0.0001953125 9.765625e-05 0.0016601563 0.000390625 0.00029296876 0.00029296876 9.765625e-05 9.765625e-05 0.0020507812 0.00029296876 0.000390625 0.00029296876 0.0 9.765625e-05 0.0008789062 0.0001953125 0.00048828125 9.765625e-05 0.00029296876 0.000390625 9.765625e-05 0.0 0.0017578125 0.00029296876 0.0010742188 0.0 0.0001953125 0.00048828125 9.765625e-05 9.765625e-05 9.765625e-05 9.765625e-05 0.001171875 0.0 0.0001953125 0.00048828125 0.0001953125 0.0 0.0001953125 9.765625e-05 0.00029296876 0.0005859375 0.00029296876 0.000390625 0.0 0.0 0.00029296876 0.00029296876 0.0001953125 9.765625e-05 9.765625e-05 0.00029296876 9.765625e-05 0.0001953125 9.765625e-05 0.0 9.765625e-05 9.765625e-05 0.0005859375 0.0001953125 9.765625e-05 0.00068359374 9.765625e-05 9.765625e-05 0.0001953125 0.0001953125 0.0001953125 0.0005859375 0.00029296876 0.00048828125 0.0 9.765625e-05 9.765625e-05 0.0001953125 0.00029296876 0.0001953125 0.0 0.00048828125 0.0 0.00029296876 0.0001953125 0.00029296876 0.0001953125 9.765625e-05 9.765625e-05 9.765625e-05 0.001171875 9.765625e-05 9.765625e-05 9.765625e-05 0.000390625 0.00048828125 9.765625e-05 9.765625e-05 0.00029296876 9.765625e-05 0.000390625 9.765625e-05 0.00048828125 0.0005859375 0.0 9.765625e-05 0.0001953125 9.765625e-05 0.0 9.765625e-05 0.0001953125 0.000390625 0.00048828125 0.0001953125 0.0001953125 0.0001953125 0.0 0.0001953125 0.00078125 0.00078125 0.0 0.0001953125 0.0 0.00029296876 0.0001953125 0.0 0.0001953125 0.0005859375 0.00029296876 0.0 0.0 0.0001953125 0.0032226562 0.001171875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14149305 0.011067708 0.0146484375 0.0071072048 0.002875434 0.002875434 0.020345053 0.015462239 0.00081380206 0.00086805556 0.00048828125 0.00032552084 0.00054253475 0.0014648438 0.0003797743 0.0014648438 0.2758789 0.022623697 0.024956597 0.013726128 0.0101454 0.0096571185 0.040744357 0.024793837 0.0043945312 0.0035264757 0.0016818576 0.001844618 0.001953125 0.0021158855 0.0017903646 0.0046115452 0.0578342 0.0037434895 0.008897569 0.005425347 0.013183594 0.0092230905 0.073404945 0.048014324 0.0007052951 0.00021701389 0.00048828125 0.00021701389 0.00021701389 0.00016276042 0.0003797743 0.000108506945 0.04736328 0.0035807292 0.0038519965 0.0029296875 0.005642361 0.002983941 0.022569444 0.0129123265 0.002061632 0.0013563368 0.0012478299 0.0007595486 0.0010850695 0.00043402778 0.0011935764 0.0011393229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 17.007353 2313.0 0.031560745 0.00043233894 0.009511457 0.0012970169 0.00043233894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051880674 0.015131864 0.0025940337 0.0060527455 0.0056204065 0.0047557284 0.0038910506 0.0025940337 0.0021616947 0.0021616947 0.0047557284 0.0021616947 0.0017293558 0.0030263728 0.0 0.0056204065 0.0060527455 0.0056204065 0.0008646779 0.00043233894 0.017725898 0.0017293558 0.010808473 0.007782101 0.0043233894 0.0047557284 0.0034587116 0.0025940337 0.007782101 0.0012970169 0.00043233894 0.0038910506 0.0030263728 0.0017293558 0.0025940337 0.0056204065 0.0 0.008646779 0.0116731515 0.0043233894 0.0021616947 0.0017293558 0.0038910506 0.0 0.0 0.0 0.00043233894 0.0038910506 0.0 0.0 0.0060527455 0.0008646779 0.04582793 0.020319931 0.02507566 0.020319931 0.10030264 0.0064850845 0.014699524 0.006917423 0.056636404 0.0017293558 0.0056204065 0.034587115 0.030263728 0.046260267 0.046260267 0.02075227 0.0030263728 0.05404237 0.06571552 0.08084738 0.027669692 0.008646779 0.0038910506 0.0064850845 0.019455252 0.0008646779 0.00043233894 0.0 0.0 0.0 0.0 5.1814733 1.0 0.0 0.0 1.0 10240.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541172200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 7168.0 512.0 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 -7168.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -5.4142203 0.0 4.165958 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 -7124.0 0.0 1736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 15188.0 1736.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 14876.0 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