Input: 0.009398059 0.0040352335 0.00397068 0.0039734715 0.0039595137 0.003909383 0.0039022882 0.0039017065 0.0039326455 0.0038970541 0.0039079874 0.00391043 0.0039246203 0.0039025208 0.0038953093 0.0038794908 0.003937298 0.0038947277 0.0038949605 0.0038879816 0.0038704185 0.0039236895 0.003880654 0.0039500925 0.0039006597 0.003906359 0.003935437 0.0038989151 0.003918339 0.0039106626 0.003882166 0.0039352044 0.004048842 0.0039218287 0.0039099646 0.00387321 0.003913803 0.0038878652 0.003912756 0.0038800724 0.0039146175 0.003923806 0.0040641953 0.003994757 0.0039932444 0.0038500638 0.0038700695 0.0038898427 0.0038894936 0.0037841145 0.0038230792 0.0039169434 0.0038064464 0.0038001656 0.0038454111 0.0038338962 0.003784231 0.003852041 0.0038243586 0.0038097033 0.003825638 0.0038432013 0.0038350595 0.0038602992 0.003990569 0.003844946 0.003861695 0.0038668127 0.003830058 0.003889261 0.0038157515 0.0038469234 0.0037998166 0.0038512268 0.0038406425 0.0038186593 0.0038031898 0.0038407587 0.003810401 0.0038355247 0.0038469234 0.0038163331 0.0038233118 0.00383157 0.0037988862 0.0038499474 0.0038127273 0.0038247076 0.003869488 0.0038198226 0.003810285 0.0038105175 0.0038049344 0.0038554142 0.003773879 0.003809238 0.0037960948 0.0038621603 0.0038083075 0.0038238934 0.0038657659 0.003916827 0.0038163331 0.0038250566 0.0038194736 0.003882515 0.0038251728 0.0038150537 0.003816682 0.003818892 0.0038451785 0.0038502964 0.0038444807 0.003783882 0.0038580892 0.0038440155 0.0039333436 0.0038901917 0.0038342453 0.003806679 0.0037837655 0.0038116805 0.0038727447 0.0037944664 0.0037910934 0.0038326168 0.0038487844 0.0038322678 0.003879142 0.0038326168 0.0038120295 0.0038607644 0.0038618112 0.0038105175 0.0037991188 0.0037966762 0.0038558794 0.0038925179 0.003841573 0.0040402347 0.0037889995 0.003897752 0.0038152863 0.0037985372 0.0038597176 0.0038376183 0.0037780663 0.0038131927 0.003813658 0.0038402935 0.003814123 0.0038285458 0.003801445 0.0038086565 0.0038183103 0.003793187 0.0037974904 0.0038034224 0.0038194736 0.0038216833 0.003833431 0.003810401 0.0037981884 0.003783882 0.0038093543 0.0037635271 0.003820404 0.0037936522 0.0038010962 0.0037759726 0.003807377 0.003838316 0.003831919 0.0038307558 0.003805167 0.0038087727 0.0038261034 0.0037978394 0.0037719016 0.003796211 0.00381738 0.0038495986 0.00381738 0.0038301742 0.0038224976 0.0037998166 0.003857275 0.0038100523 0.003845295 0.0038290112 0.0038142395 0.0038187758 0.0039418344 0.0038313374 0.0038162167 0.0038867022 0.0038614625 0.0038304068 0.0038590198 0.0038261034 0.003840177 0.0037966762 0.0038115643 0.0038174961 0.0038138905 0.003810285 0.0038194736 0.0038442481 0.0038480863 0.0037755074 0.003830058 0.0037976068 0.003840061 0.0038057487 0.0037898137 0.0038294764 0.0037981884 0.0038031898 0.0038127273 0.0038487844 0.0038492496 0.0038019102 0.0038373857 0.0038314536 0.0037864407 0.0038534368 0.0038091217 0.0038325004 0.0038071445 0.0038119133 0.003808889 0.0037967926 0.0039440445 0.0038815844 0.003813774 0.0038528552 0.0038169147 0.003813658 0.0038238934 0.003813309 0.003831221 0.0038273828 0.0038056322 0.003816682 0.0038097033 0.0038444807 0.003848319 0.0038513432 0.0038255218 0.0038782114 0.0038404097 0.003845295 0.0038642539 0.003908802 0.0040567513 0.013260219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00020066353 2.3265336e-07 3.4316372e-06 0.0 2.3265336e-07 0.0 7.0959277e-06 2.8500037e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3730643e-05 0.0016739991 1.5122469e-06 1.8612269e-06 8.7245013e-07 9.887768e-07 5.234701e-07 1.3377569e-06 1.1051035e-06 3.082657e-06 7.561234e-07 8.1428675e-07 6.397968e-07 1.3377569e-06 1.2795936e-06 3.4316372e-06 0.0039050286 0.00039103214 2.2683703e-06 4.362251e-06 1.7449003e-06 1.5122469e-06 1.5122469e-06 1.5122469e-06 9.3061345e-07 8.1428675e-07 8.7245013e-07 2.5591871e-06 1.1632668e-06 2.6173504e-06 3.4316372e-06 3.7806171e-06 0.0007710714 8.2940925e-05 1.3959202e-06 6.2234776e-06 1.5122469e-06 1.3959202e-06 8.1428675e-07 9.3061345e-07 9.887768e-07 5.816334e-07 1.1051035e-06 1.8612269e-06 1.2214301e-06 1.4540835e-06 3.257147e-06 2.7918404e-06 0.00024888094 0.00023166458 1.5180632e-05 3.547964e-05 7.2122543e-06 5.8744977e-06 3.3734739e-06 2.5533707e-05 1.1574505e-05 3.7806171e-06 2.9663304e-06 3.3734739e-06 5.641844e-06 5.002047e-06 5.467354e-06 5.7000075e-06 0.00046600468 0.0004634455 5.031129e-05 6.5550084e-05 1.5762265e-05 1.9717372e-05 1.2621445e-05 5.7814363e-05 3.2804124e-05 9.3642975e-06 7.852051e-06 9.596952e-06 6.456131e-06 1.1516341e-05 8.201031e-06 1.6053082e-05 0.00064235594 0.00085081335 0.00018937983 0.00031332593 3.693372e-05 3.635209e-05 2.140411e-05 9.3584815e-05 5.292864e-05 1.1923485e-05 1.1690831e-05 1.1748995e-05 1.1981649e-05 1.5471449e-05 1.8495943e-05 2.0357169e-05 0.001043334 0.0011114433 0.00045030058 0.00063811004 6.5026616e-05 3.9027604e-05 3.658474e-05 7.985827e-05 5.5138848e-05 2.15786e-05 2.6871463e-05 2.524289e-05 2.9837795e-05 3.37929e-05 3.8678623e-05 4.769394e-05 0.0011126066 0.00062502327 0.00029238712 0.0003189096 3.8562295e-05 4.4611283e-05 3.2920452e-05 3.6991885e-05 3.233882e-05 3.321127e-05 2.6231666e-05 2.6871463e-05 2.803473e-05 6.595723e-05 3.513066e-05 4.2284748e-05 0.00070290396 0.00056813954 0.00017949207 0.00019141556 4.7577614e-05 6.421233e-05 4.3855158e-05 0.00012918079 8.776848e-05 3.536331e-05 3.2920452e-05 3.9609236e-05 4.548373e-05 8.0730715e-05 4.245924e-05 3.6293924e-05 0.00040051277 0.00030518306 0.00016756859 0.0001438961 3.3153105e-05 2.6347994e-05 2.0066353e-05 2.4312276e-05 2.6871463e-05 2.053166e-05 2.6987791e-05 2.6871463e-05 6.7760295e-05 6.6946006e-05 3.931842e-05 2.9372488e-05 0.0004042352 0.00018210942 1.9601046e-05 4.4262302e-05 3.635209e-05 8.177766e-05 6.304906e-05 5.618579e-05 5.5662316e-05 0.00011091749 1.0643891e-05 1.0411238e-05 1.8146962e-05 5.7465382e-05 3.4200046e-05 5.1067414e-05 0.000121096076 0.00072692544 0.00011853689 0.00016099613 0.00013738181 0.0002757524 0.00026487585 0.0001815278 0.00020770129 0.0004363414 5.4440887e-05 6.217661e-05 8.968787e-05 0.00024236664 0.00015366754 0.0002330605 0.00046635367 0.06084188 0.06104138 0.060924064 0.060915165 0.060950644 0.06065919 0.060693737 0.060795873 0.060899403 0.060848683 0.060694844 0.060801163 0.06082571 0.060718168 0.060778134 0.060810298 39151.0 5.753135 225241.0 0.013074884 0.009931585 0.010504304 0.01013581 0.010104733 0.010100293 0.00984723 0.009967102 0.0098783085 0.00970516 0.009967102 0.009873869 0.010051456 0.0101402495 0.010300078 0.010504304 0.01041995 0.009758436 0.010211285 0.010784005 0.009922705 0.009936024 0.010100293 0.009918265 0.0096740825 0.010388873 0.010428829 0.01013137 0.010459907 0.010273441 0.0102645615 0.010224604 0.01056646 0.01043327 0.01027788 0.010468787 0.010513184 0.010939394 0.010029257 0.010637495 0.00999374 0.01056646 0.009975981 0.010149129 0.01071741 0.010197965 0.010348915 0.010171328 0.010335596 0.0097761955 0.010215725 0.010490986 0.009962662 0.010308958 0.010047017 0.010633055 0.010149129 0.009696281 0.009896067 0.010295639 0.010402191 0.01070409 0.009887188 0.010362234 0.009789514 0.011623106 0.0101624485 0.010744047 0.01085504 0.013505534 0.010739608 0.010686331 0.010411071 0.011441079 0.010473226 0.010455468 0.011463277 0.010673013 0.010819523 0.011760736 0.01085504 0.010086973 0.011774056 0.011814012 0.011956083 0.0105265025 0.010189086 0.010055896 0.00998486 0.010468787 0.010513184 0.0098783085 0.009731798 0.0103444755 0.01013137 0.009953783 6.58237 1.0 2.0 0.0 120.0 8597520.0 299008.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41472.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 222208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 5.025675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41424.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 221976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 221976.0 73728.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.017385723 0.0028132761 0.0030929868 0.0030574168 0.0032967068 0.0035602495 0.0032659872 0.0035133616 0.003367847 0.0034697072 0.004609569 0.0036233056 0.0032158657 0.0034486884 0.0036459411 0.0032999406 0.003776904 0.0032886227 0.00370253 0.0036330065 0.0042360825 0.004729214 0.0036249224 0.003461623 0.0041406895 0.0041681756 0.0036540253 0.0036782776 0.0037445675 0.0037316328 0.0033177256 0.0035214457 0.003424436 0.0034373708 0.0034325202 0.0033177256 0.004295905 0.003545698 0.0038852312 0.003489109 0.0041245213 0.0032433516 0.003991942 0.004601485 0.0038852312 0.0038351098 0.003629773 0.0040469137 0.0041908114 0.004294288 0.004276503 0.0045756157 0.0038464274 0.0036960626 0.004080867 0.0043912977 0.0036233056 0.0037817545 0.0032223328 0.0038334928 0.0032142487 0.0033080247 0.0034228193 0.0035246792 0.0030380148 0.0034923428 0.0034842587 0.0033807817 0.003869063 0.0036265391 0.0041229045 0.0034292864 0.0037575022 0.003563483 0.003555399 0.0031641272 0.00403883 0.004037213 0.003759119 0.003405034 0.0034309034 0.0045141764 0.0036798944 0.0037235487 0.003933736 0.0055877483 0.004978205 0.0041455403 0.004510943 0.0040711663 0.0041681756 0.004292671 0.0034939595 0.003946671 0.003665343 0.004009727 0.0037170814 0.004386447 0.0041956617 0.004952336 0.0038367265 0.00431369 0.0050784484 0.0035990532 0.00390625 0.003946671 0.004266802 0.0041277553 0.0040889513 0.0044462695 0.004488307 0.004171409 0.0034325202 0.003877147 0.0038011563 0.0038933153 0.0035845018 0.0038302592 0.004035596 0.004523877 0.0034729408 0.0032255666 0.0032902395 0.0039482876 0.004210213 0.0036507917 0.0036233056 0.004113204 0.0026612945 0.0031301738 0.0036588758 0.003814091 0.0035505483 0.0045481296 0.0033710808 0.0035602495 0.0036685767 0.003915951 0.0040420634 0.0041972785 0.004908682 0.0043347087 0.003796306 0.0035408475 0.0030590335 0.0035230624 0.0035667166 0.003907867 0.0033387444 0.0038819977 0.0040663155 0.0042829704 0.0040954184 0.0042441664 0.0038997827 0.004418784 0.0037623525 0.0030105289 0.0030202297 0.003555399 0.0028019582 0.0035618662 0.0036233056 0.0039272686 0.0034309034 0.003518212 0.004118054 0.0032546695 0.003500427 0.0038933153 0.005109168 0.0042474 0.004695261 0.0044575874 0.0038916986 0.0033516788 0.0037348666 0.0046629244 0.00404368 0.0041956617 0.003461623 0.0042474 0.004509326 0.0044220174 0.0035667166 0.0039757737 0.0038674462 0.0047162795 0.0032627536 0.0040873345 0.004321774 0.0041229045 0.00288765 0.004148774 0.004472139 0.0037607357 0.004009727 0.0043767462 0.0051544392 0.0041891946 0.0028730987 0.0038609789 0.0035618662 0.004989523 0.0052239625 0.0044462695 0.0033015574 0.0034680904 0.0030477156 0.0032562863 0.0034697072 0.0039321193 0.0035505483 0.0041859606 0.0044171666 0.0033581462 0.0039967922 0.0039725397 0.0035699503 0.0046871766 0.003987091 0.004852093 0.0038189415 0.004386447 0.0031560431 0.0037655863 0.0040404466 0.004331475 0.0030137624 0.0042813537 0.0041390727 0.0032288001 0.0031156223 0.0034955763 0.0035877354 0.003814091 0.004061465 0.0038334928 0.0041956617 0.0043815966 0.0037381002 0.004326625 0.0034874922 0.0034955763 0.002952323 0.0035408475 0.003730016 0.004045297 0.00482299 0.0037009132 0.003249819 0.0036491747 0.0044672885 0.0034939595 0.004171409 0.0061035156 0.0049751243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029232095 2.3482846e-05 5.6682733e-05 4.9394952e-05 3.3199885e-05 1.7814573e-05 8.66436e-05 4.9394952e-05 2.7531612e-05 4.0487666e-06 1.1336547e-05 5.6682734e-06 4.0487666e-06 3.2390133e-06 1.5385313e-05 5.6682734e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010607769 4.0487666e-05 4.2916927e-05 2.1053585e-05 7.0448536e-05 5.1824212e-05 4.453643e-05 2.8341366e-05 8.421434e-05 5.6682734e-06 1.3765806e-05 1.5385313e-05 0.000108506945 1.1336547e-05 2.1053585e-05 3.8058406e-05 0.00065590016 0.0 0.00010526793 0.00040082788 0.00065670995 0.0004056864 0.00070691464 0.00038463282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.097533e-07 0.00097251375 3.886816e-05 3.7248654e-05 5.1824212e-05 3.8058406e-05 5.5063225e-05 4.2916927e-05 5.5872977e-05 3.4819393e-05 2.672186e-05 5.1824212e-05 4.210717e-05 4.210717e-05 3.7248654e-05 5.5872977e-05 7.5307056e-05 0.0017336819 0.000101219164 0.00010283867 8.097533e-05 9.150212e-05 0.00010202892 9.959966e-05 9.150212e-05 9.5550895e-05 9.5550895e-05 8.259484e-05 0.00012632152 0.00011498497 0.000111745954 0.00012956053 0.00015709214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022033388 0.00034576465 0.00052633963 0.00020567734 0.0005635883 0.0006469929 0.0004769447 0.00022349191 0.000915831 2.1053585e-05 0.00012551177 0.00013279954 0.00089963595 0.00014170683 0.0002947502 0.0005684468 0.0007271585 0.0001732872 0.00032228182 0.00026397957 0.00052795914 0.00051905186 0.0004056864 0.00028584292 0.0004996178 6.397051e-05 7.773632e-05 0.000101219164 0.00032875984 0.00014170683 0.00016195067 0.00037491578 0.052838024 0.05970878 0.059017252 0.060252126 0.055780668 0.06440292 0.06568233 0.05942132 0.059071504 0.059463426 0.06105945 0.064832896 0.06328141 0.062086217 0.059789754 0.0618028 3133.0 6.287903 19700.0 0.009746193 0.00822335 0.00786802 0.007715736 0.009543147 0.00822335 0.009187818 0.009390863 0.01 0.008274112 0.00857868 0.010456853 0.00964467 0.009441624 0.009949239 0.010710659 0.011878173 0.012639594 0.013756345 0.015837563 0.011218274 0.010558376 0.011218274 0.012030457 0.01 0.010101523 0.008730965 0.009035533 0.00786802 0.007258883 0.008781726 0.00786802 0.006598985 0.011979695 0.011979695 0.009695431 0.010406092 0.009492386 0.01142132 0.010203046 0.010152284 0.00822335 0.00893401 0.00822335 0.011218274 0.010710659 0.010710659 0.007969543 0.0070558377 0.012233502 0.0102538075 0.012436548 0.010862944 0.017969543 0.014416244 0.010710659 0.0125888325 0.012081218 0.010710659 0.010659899 0.007817259 0.01106599 0.008324873 0.00928934 0.008020304 0.012791879 0.012081218 0.014416244 0.0098477155 0.0125888325 0.014060914 0.011472081 0.009340102 0.011827411 0.0111167515 0.011522843 0.011624365 0.013096447 0.013299492 0.011979695 0.009137056 0.010101523 0.010203046 0.0125888325 0.011167512 0.011928934 0.011472081 0.011928934 0.008324873 0.008883249 0.008121828 0.008274112 0.01142132 0.008121828 0.008426396 0.008680203 6.5587454 0.0 0.0 0.0 9.0 618496.0 622592.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1267878500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.976457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9759374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.642256 0.0 7.9868336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58925.0 0.0 438020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 134668.0 438020.0 184320.0 0.0 0.0 5416.0 618496.0 0.0 0.0 28.0 66608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1004.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.20720673 0.020542145 0.01716105 0.009563446 0.011123021 0.0038973491 0.004804611 0.0037263234 0.01057307 0.0024153392 0.002419154 0.0020453136 0.0050264993 0.0017789205 0.0019728343 0.0048243203 0.011126201 0.0019200643 0.0019315084 0.0011367798 0.003200531 0.00166893 0.0009333293 0.0009021759 0.0025513966 0.00083732605 0.0011475881 0.001821518 0.002389272 0.0009403229 0.0017255148 0.001590093 0.0053933463 0.0011399587 0.0009975433 0.0007088979 0.0058542886 0.0012582144 0.00075467426 0.0009396871 0.0019779205 0.00097084045 0.0007362366 0.001244227 0.0024967194 0.001748403 0.0010630289 0.0010382334 0.0058841705 0.0035184224 0.0037968953 0.008495331 0.0038337708 0.0028177898 0.0027268727 0.0026868184 0.003965378 0.0028006237 0.002872467 0.0036411285 0.0032869976 0.0027300518 0.0024642944 0.0025469463 0.011709213 0.0032157898 0.004217148 0.005949656 0.005628586 0.014665604 0.0037841797 0.002910614 0.0034300487 0.0034427643 0.002110799 0.0021413167 0.0031458538 0.0036589305 0.0028483074 0.0030835469 0.008820851 0.0068213143 0.005560557 0.007088343 0.0034249623 0.0071118674 0.0034510295 0.0025965373 0.001824061 0.0035858154 0.0021203358 0.0035241444 0.0012467703 0.002614975 0.0025660198 0.0019404093 0.001209259 0.006172816 0.0015500387 0.0037269592 0.007338842 0.012112935 0.0040537515 0.0020154316 0.004778544 0.0054861703 0.0027160645 0.0011291504 0.0062179565 0.0026054382 0.0059858956 0.0063031516 0.0033372242 0.00051561993 0.006259918 0.0055294037 0.013355255 0.005627314 0.0016511282 0.0013917288 0.0023028057 0.0016117096 0.00082143146 0.0008385976 0.001812617 0.0015201569 0.0012022654 0.0011323293 0.0064290366 0.0012054443 0.00078264874 0.006868998 0.0028057098 0.003856023 0.00057347614 0.00057474774 0.0018266042 0.008961995 0.0007413228 0.03744634 0.0011711121 0.006409963 0.00046730042 0.0005760193 0.0030962627 0.0004908244 0.00059890747 0.0006542206 0.0012149811 0.0007362366 0.0004787445 0.00039927164 0.0011367798 0.000831604 0.00055058795 0.0005963643 0.0017267863 0.0004056295 0.0005232493 0.000600179 0.0011609396 0.0022220612 0.00038464865 0.0007960002 0.001045227 0.0007909139 0.0007406871 0.00078519183 0.0010782877 0.00058619183 0.0007603963 0.00048192343 0.00090344745 0.00046730042 0.00042533875 0.0005009969 0.0031344097 0.0005760193 0.0011882782 0.00069681805 0.0011119843 0.00057093304 0.0011933645 0.0010859171 0.0021947224 0.001329422 0.0016231537 0.0007330577 0.001455307 0.00051943463 0.0007241567 0.0009384155 0.00823466 0.0010280609 0.0015824636 0.0074036918 0.0024140675 0.0005569458 0.0030409496 0.0024668376 0.0013930002 0.0012976328 0.0007177989 0.0006504059 0.001238505 0.00041834512 0.0006084442 0.0005448659 0.0021737416 0.00074005127 0.0019137064 0.0012302399 0.0017859141 0.0008500417 0.0013949076 0.0011959076 0.0032869976 0.00078137714 0.00089200336 0.0016568502 0.001534144 0.0005912781 0.0005836487 0.00089200336 0.0018914541 0.0006306966 0.001086553 0.0005092621 0.0016880035 0.0010166168 0.0006230672 0.00046348572 0.01612091 0.002714793 0.000869751 0.0037384033 0.0031820934 0.0005912781 0.0006306966 0.001188914 0.005537033 0.0013866425 0.0015411377 0.00089327496 0.004172007 0.0010236105 0.0018660227 0.0012289683 0.008821487 0.0050614676 0.0021133423 0.0021101634 0.00717481 0.001976649 0.0033486683 0.03891182 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00059579854 5.5667242e-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 0.0019149532 0.0006276084 8.58866e-06 3.1809852e-06 1.081535e-05 5.0895765e-06 2.2266897e-06 3.8171825e-06 1.0497251e-05 1.9085912e-06 3.8171825e-06 6.3619706e-07 2.8628867e-06 1.9085912e-06 3.499084e-06 4.4533795e-06 0.006036874 0.0028590697 9.542956e-06 1.5586827e-05 1.304204e-05 9.861054e-06 1.6541124e-05 1.081535e-05 0.0013239261 9.224857e-06 1.304204e-05 2.5129784e-05 1.2723941e-05 7.952463e-06 2.0676405e-05 3.9444218e-05 0.005769035 0.00013996336 0.0001275575 9.829245e-05 0.0001739999 0.00013201089 0.00010338202 9.097618e-05 0.00057321356 9.6383854e-05 3.753563e-05 0.000110062094 6.075682e-05 6.42559e-05 7.952463e-05 0.00016063976 0.0075853774 0.00022235088 0.00018831433 0.0001275575 0.00036422283 0.0007373524 0.00010338202 0.00011069829 0.00011960505 0.00011387927 9.447527e-05 0.00020103827 9.8610544e-05 8.874949e-05 9.2566675e-05 0.0014782039 0.02919063 0.0016887852 0.0019095455 0.000849005 0.0019849348 0.0020768654 0.004210352 0.0021516185 0.00049114414 0.0004090747 0.00027101996 0.00050895766 0.00032032523 0.00075134874 0.00021439842 0.0037863269 0.037554394 0.0017686279 0.0028126272 0.002669483 0.0040144036 0.0026583495 0.009901453 0.0054929256 0.00042720634 0.00042625202 0.0005668516 0.0010497251 0.0003464093 0.000942526 0.00024748067 0.005342783 0.021648832 0.0013996336 0.0014238091 0.0018561049 0.0031199104 0.0021910628 0.005081306 0.0022158744 0.00043802167 0.0003953965 0.00044056648 0.0005741679 0.0004593343 0.00053917704 0.00048510026 0.0033343087 0.050005727 0.004251069 0.0023679256 0.0023736514 0.013096435 0.0047247177 0.017985927 0.008752481 0.001978573 0.0017737175 0.0010974399 0.0010675386 0.001217045 0.0013309242 0.0011324307 0.0047597084 0.03860921 0.005386999 0.004510001 0.033624288 0.011141401 0.005720366 0.011729565 0.007098687 0.0042135334 0.0032802322 0.0031749415 0.0032417423 0.0031968902 0.0031208647 0.003376298 0.0058062524 0.017345594 0.0016362988 0.0015955822 0.0012221346 0.004775295 0.0031332707 0.004155957 0.0024786238 0.0026682105 0.00076502695 0.0010665844 0.0011410194 0.0015793592 0.0009024455 0.0016480685 0.0033979286 0.04294362 0.006359744 0.005558454 0.005456026 0.01571025 0.01478522 0.008082566 0.008123282 0.026052905 0.0024935745 0.00187869 0.0042790617 0.009039406 0.0045348126 0.010127939 0.020893667 0.049412154 0.009168554 0.007473407 0.009513373 0.021294152 0.027893424 0.011649405 0.0120788375 0.04218559 0.004019175 0.004225621 0.0065630088 0.017012546 0.008903896 0.019272318 0.037933886 0.00034895408 0.00026688466 0.0002789724 0.00026624848 0.00027801812 0.00026688466 0.00032064333 0.00026720276 0.00026593037 0.00026433988 0.00026688466 0.0003225519 0.00026847515 0.0003250967 0.00026911136 0.000284062 14005.0 11.147733 156124.0 0.0049575977 0.0008262663 0.0011977659 0.0007686198 0.0044131586 0.0007494043 0.0010696626 0.000851887 0.0030680741 0.00096717995 0.0012874382 0.000851887 0.0029976172 0.0012746279 0.0013130589 0.0007686198 0.011510082 0.009261869 0.010216238 0.0096397735 0.010735056 0.009332325 0.008371551 0.009434808 0.011266685 0.008025672 0.009217032 0.008845533 0.010158592 0.008903179 0.009095334 0.008384361 0.0039712023 0.01009454 0.007212216 0.016422844 0.012695037 0.008877559 0.013431631 0.005085701 0.008397171 0.010831134 0.0021008942 0.0017293945 0.007936 0.006706208 0.0049127615 0.00718019 0.0109656425 0.002677359 0.007327509 0.0149240345 0.015718276 0.005226615 0.0053803385 0.0062578465 0.003260229 0.0042017885 0.0020368425 0.003958392 0.0027734365 0.0035100305 0.0041377367 0.0045284517 0.002831083 0.04181292 0.007558095 0.020842407 0.023769569 0.08165304 0.006988035 0.012592555 0.014046527 0.035343703 0.0024595833 0.005040865 0.029969767 0.014994492 0.043158002 0.044701647 0.016211472 0.0008839128 0.044637594 0.032525428 0.06416054 0.015103379 0.005982424 0.0063859494 0.0069367937 0.0067190183 0.0025428506 0.00083907665 0.0028823244 0.00065973203 0.00087110244 0.00066613714 5.7885647 0.0 0.0 7.0 2.0 1572864.0 2150400.0 0.0 0.0 580.0 1.0 1.0 0.0 1.0 0.0 1389937000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1168896.0 1024.0 4096.0 10.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -97280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1163264.0 -16384.0 250368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.571979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.2438645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.962057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4168077 -5.2719917 5.227807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 -96978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -5196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 551616.0 0.0 0.0 -38072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1163140.0 -15982.0 250192.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 -2.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 2.0 0.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 4.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -4.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 3.0 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 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15982.0 1769472.0 250188.0 1896448.0 0.0 0.0 0.0 0.0 96172.0 1798144.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1794048.0 0.0 0.0 0.0 0.0 2420.0 1772412.0 806.0 1785856.0 0.0 0.0


Input: 0.056898322 0.008307137 0.0061843516 0.005662492 0.005756052 0.004964946 0.0042019077 0.005426511 0.0050501903 0.005631305 0.0037476195 0.004476352 0.0049535106 0.0031696232 0.004319378 0.004635405 0.0050397944 0.003758015 0.0049368776 0.0041551273 0.0043588816 0.0031779397 0.0041083475 0.0038391007 0.005078258 0.0033432299 0.0031654648 0.0029263657 0.004144732 0.003439909 0.0037923206 0.0037933602 0.0061760354 0.0038131117 0.0034887686 0.0030199264 0.004896335 0.004165523 0.0038442987 0.0037237094 0.004732084 0.0038921183 0.003335953 0.0030947747 0.0043734354 0.0037289073 0.0037195513 0.0035833686 0.0055117556 0.0039513735 0.0030968538 0.002895179 0.0036738105 0.0030750232 0.0026872666 0.0028515174 0.0041738395 0.003315162 0.0035199553 0.0033390718 0.0040085493 0.0032184825 0.0035012434 0.0034534235 0.0066043343 0.0039534527 0.0036155952 0.0032205617 0.0041582463 0.0032184825 0.0035417862 0.0030667065 0.0049982117 0.0037756877 0.0037049975 0.0035885666 0.0041436926 0.0031353177 0.0035553004 0.0034690169 0.005174937 0.0036270302 0.003648861 0.003341151 0.003928503 0.0033744168 0.0033598628 0.003539707 0.004654117 0.0036436631 0.003807914 0.0034991642 0.00410211 0.0033816937 0.0036831666 0.0037808854 0.005913026 0.003622872 0.0033484278 0.0029513151 0.0040116683 0.003056311 0.0032725397 0.0030292824 0.004969104 0.0031623463 0.0031966518 0.0030459154 0.0035750521 0.002828647 0.0030864582 0.0031904145 0.0045085787 0.0032964498 0.0032226408 0.003132199 0.0038869206 0.0033307553 0.0032922914 0.0036207929 0.0046291677 0.0032995683 0.0034752542 0.0031665044 0.0040386966 0.003202889 0.0034669377 0.0033484278 0.008665785 0.004594862 0.004014787 0.0035272324 0.00436304 0.003435751 0.0030136888 0.0033900102 0.0045387256 0.0038318238 0.0029481966 0.0031924935 0.0037309865 0.0027891437 0.0028400822 0.002980423 0.0052383505 0.003202889 0.0034908478 0.0030272033 0.0036644544 0.0031737813 0.0032995683 0.003267342 0.0045418446 0.0028348844 0.0030407174 0.002691425 0.0035178764 0.0032257596 0.0029856209 0.003148832 0.005014845 0.0034087223 0.0032777376 0.0027974602 0.0037788062 0.0030105703 0.0030521527 0.0031800189 0.004137455 0.002994977 0.0031166056 0.0030147284 0.003646782 0.0028255284 0.0029180492 0.0030479946 0.0046769874 0.0031134868 0.0038370218 0.0028483986 0.003561538 0.0031446738 0.0029856209 0.0031176452 0.004259084 0.0031425946 0.0033307553 0.0031717024 0.0036550984 0.003189375 0.0033203596 0.0033432299 0.006724924 0.0040542902 0.0037268281 0.0033390718 0.0041145845 0.0032548672 0.003309964 0.003226799 0.0043328926 0.0033255573 0.0031134868 0.0030760625 0.0036478215 0.0029835417 0.0030760625 0.0027964206 0.0042549255 0.0032818958 0.003093735 0.0030032934 0.003717472 0.003006412 0.002930524 0.0029409197 0.0039794417 0.00310621 0.0027205325 0.0026332093 0.003530351 0.0029367614 0.0035812897 0.002880625 0.0049535106 0.0032330365 0.0033889706 0.0029710669 0.0038120723 0.003067746 0.00320081 0.0029034954 0.0044462048 0.00545354 0.0034648587 0.003124922 0.0037850437 0.0030760625 0.0032423926 0.0031924935 0.0046177325 0.003309964 0.0034201576 0.0030386385 0.0037476195 0.0030916561 0.003309964 0.003245511 0.0043568024 0.0030292824 0.0031779397 0.002861913 0.0040199845 0.0030864582 0.004229976 0.0045324885 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045980685 0.00028890843 0.0002842234 0.00026600398 0.00031285398 0.0002420584 0.00034148456 0.0003066073 0.00032951176 0.00035293677 0.00032690898 0.00034929288 0.0005148296 0.00015304338 0.00018583839 0.0007423124 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09933088 0.062009636 0.062463563 0.05528822 0.060614027 0.05954012 0.05492071 0.05446991 0.060447447 0.05312375 0.05210138 0.052903034 0.05640898 0.050503273 0.056611475 0.0538265 4016.0 5.703934 22907.0 0.017199982 0.010477147 0.009385778 0.008643646 0.013402017 0.012485267 0.01178679 0.011437552 0.012572576 0.00969136 0.008512681 0.008599991 0.013925875 0.010520802 0.01178679 0.0099096345 0.016807089 0.011874099 0.008687301 0.007508622 0.009822325 0.008469027 0.00785786 0.008338063 0.010346183 0.008425372 0.009735015 0.008818265 0.0115685165 0.008992884 0.009647706 0.009254813 0.018029423 0.010957349 0.010346183 0.009036539 0.010826385 0.008905575 0.010651765 0.008338063 0.014275112 0.011612171 0.009735015 0.008992884 0.011437552 0.009342123 0.011655826 0.009560396 0.01479897 0.009604051 0.010040599 0.009036539 0.0120487185 0.009429432 0.009604051 0.009822325 0.013751255 0.009211158 0.010520802 0.009516741 0.011131968 0.00986598 0.010389837 0.01069542 0.017985769 0.011001004 0.009735015 0.008163444 0.013096433 0.008250753 0.009385778 0.008338063 0.015453791 0.009298468 0.008905575 0.008687301 0.011437552 0.00794517 0.009953289 0.00785786 0.013227398 0.00794517 0.00877461 0.008730955 0.011481207 0.009429432 0.008207099 0.00794517 0.010913694 0.00886192 0.011917754 0.008425372 0.011262933 0.008992884 0.009953289 0.00877461 6.554401 0.0 0.0 0.0 14.0 961944.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.103768855 0.010786638 0.0047063576 0.0052640084 0.007749192 0.0033432113 0.0035775863 0.003912985 0.0071646012 0.0023168104 0.003929149 0.0023033405 0.004991918 0.0019181034 0.0022198276 0.004387123 0.0062863687 0.002179418 0.0021511314 0.0018049569 0.0043467134 0.002494612 0.0017739763 0.0016217673 0.0037082436 0.002035291 0.0018009159 0.0018170797 0.0033970906 0.0017887931 0.0022400324 0.0021686424 0.005053879 0.0016029095 0.0016608298 0.002105334 0.009661907 0.002436692 0.0022009697 0.0018925108 0.003192349 0.0015099677 0.0018615301 0.0024474678 0.003504849 0.0018925108 0.0025053879 0.0014453125 0.0039641703 0.003127694 0.0031627156 0.010224946 0.003581627 0.0026804956 0.0026293104 0.0025619613 0.003600485 0.002809806 0.002805765 0.003995151 0.0037850216 0.0029458513 0.0026764548 0.0028340516 0.008818696 0.005926724 0.0039197197 0.0059684804 0.005533405 0.011693157 0.0069827586 0.0026926186 0.0032947198 0.002661638 0.0020757003 0.0025350216 0.0030226293 0.0035789332 0.0023841595 0.0025511854 0.007345097 0.0029283406 0.0033028016 0.005770474 0.0043372847 0.0077545797 0.004368265 0.003514278 0.0023006466 0.0040732757 0.0030118534 0.0045191273 0.0025633082 0.0036503233 0.003743265 0.0027936422 0.0018642241 0.003921067 0.0020837823 0.0032516164 0.005928071 0.005689655 0.0033580281 0.0025484913 0.004746767 0.004397899 0.00345097 0.0019989223 0.0041217674 0.0023841595 0.004439655 0.004869343 0.0031236531 0.0020029633 0.004618804 0.003677263 0.009652479 0.0056613684 0.002192888 0.0023248922 0.0028367457 0.0023383622 0.0018440194 0.0024003233 0.003038793 0.002817888 0.0022925646 0.0020635775 0.006462823 0.0022103987 0.0016689117 0.008327047 0.0031492456 0.004715787 0.0016621767 0.0014628232 0.0025821659 0.010121228 0.0029903017 0.040207434 0.0024393857 0.006714709 0.0022400324 0.0023141163 0.0035668104 0.0019207974 0.0022804418 0.0023195043 0.0019800647 0.0018965517 0.002105334 0.001563847 0.0016971983 0.0019558189 0.0019181034 0.0013968211 0.002273707 0.0015800108 0.0019315733 0.0018521013 0.0024744074 0.0028394395 0.0014439655 0.0020918641 0.0020703124 0.0019436962 0.0016271552 0.0017834052 0.002106681 0.0016177263 0.0017308729 0.001713362 0.002110722 0.0017349138 0.00171875 0.0017941811 0.0024434268 0.0019787177 0.0024030171 0.0017322198 0.0024070581 0.0016837284 0.0019814116 0.0021268858 0.0030967135 0.002495959 0.0029337285 0.002279095 0.0019436962 0.0017497306 0.001957166 0.0018965517 0.008523707 0.0026643318 0.0021686424 0.009311692 0.0032543105 0.0018332435 0.0047400324 0.004314386 0.00258486 0.0026953125 0.0019113686 0.0019908405 0.002421875 0.0016850755 0.0019679419 0.001873653 0.0024824892 0.001796875 0.0033943965 0.0025148168 0.002504041 0.0018521013 0.002412446 0.0020474137 0.004209321 0.0022252155 0.002431304 0.002877155 0.0023976292 0.0019221444 0.0017766702 0.0017470366 0.0026225755 0.0018911638 0.0018938577 0.0022144397 0.0027936422 0.0021363148 0.0015396012 0.0018628772 0.015466056 0.0033472523 0.002101293 0.004622845 0.0038564117 0.001953125 0.001866918 0.0017106681 0.0047979527 0.0019410022 0.002355873 0.002029903 0.0037984913 0.0018413254 0.0027734374 0.0024151402 0.005082166 0.0019773706 0.0029808728 0.0026320042 0.007858298 0.0039278017 0.0070878235 0.03679957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021534283 2.4279178e-05 7.081427e-05 2.3604756e-05 9.509345e-05 4.2488562e-05 1.2814011e-05 1.6186119e-05 6.4744476e-05 7.148869e-05 1.6186119e-05 6.8116584e-05 1.2814011e-05 2.900013e-05 2.6976864e-05 3.4395503e-05 0.008717574 0.00031090836 0.0005584211 9.172134e-05 0.00060023525 0.00014230296 0.001992916 0.0010790746 0.00018883805 0.00013353548 4.3837405e-05 3.372108e-05 0.00019153574 2.0232648e-05 6.339563e-05 0.0010251208 0.0038711801 8.093059e-05 0.00015511697 0.00015174487 0.00087135273 0.00042353678 0.0029580132 0.0013987505 1.8883806e-05 7.9581754e-05 8.767481e-06 3.372108e-06 9.8465556e-05 9.441903e-06 1.4837276e-05 0.0009057482 0.0068777516 0.000499072 0.0005186302 0.0025756161 0.0010467024 0.0005112116 0.0023604757 0.0010837956 0.0007270265 0.00022053586 0.00014567508 0.00010251209 0.00015174487 0.00010790746 0.000107233034 0.0009199111 0.005702909 0.00025358252 0.00057932816 0.0008565154 0.001303657 0.00046602535 0.0013845876 0.0007526545 0.0011512378 0.0003338387 0.0001153261 0.00020030321 0.00021176839 0.00012409358 0.0002434662 0.0015140765 0.014551321 0.0015747745 0.0020003344 0.014957997 0.0039460408 0.0026208025 0.004704765 0.0029856644 0.002138591 0.0014911462 0.0012982616 0.0015343091 0.001385262 0.0012193543 0.0012234008 0.0031414558 0.012982616 0.0012038426 0.0011033538 0.0009219344 0.0043372056 0.0017845196 0.0042508794 0.0023328243 0.0024231968 0.00057663047 0.00054088613 0.0008700039 0.0010696327 0.00069128216 0.0010372604 0.002547965 0.0511886 0.008180734 0.009616578 0.0069607054 0.019054433 0.015910955 0.008399247 0.008779621 0.03437527 0.0034564107 0.002241103 0.004567183 0.01242959 0.0051229065 0.010306511 0.024548272 0.042062327 0.00834327 0.008759388 0.008300781 0.020441044 0.022121029 0.010348326 0.010695652 0.036661558 0.003397736 0.003837459 0.005091209 0.016053932 0.008025617 0.015625674 0.032997426 0.023417942 0.021186281 0.021642864 0.02259852 0.022000981 0.02201919 0.022609985 0.023788873 0.021655004 0.022520961 0.022594472 0.022682147 0.022406984 0.02329115 0.023296546 0.022785334 5437.0 9.461468 51442.0 0.013296528 0.0017884219 0.0031297384 0.0022355274 0.007056491 0.0027798298 0.004237782 0.0025076785 0.005112554 0.0025076785 0.003207496 0.0023521637 0.0041017067 0.0024687997 0.0072508845 0.0017689825 0.010166789 0.009797442 0.0105944555 0.030733641 0.009272579 0.006803779 0.0076202326 0.008047898 0.009389215 0.0070370515 0.0077368687 0.009447533 0.009894638 0.0070953695 0.0072508845 0.0063566733 0.0046071303 0.010186229 0.007600793 0.019225536 0.013840831 0.009894638 0.012655029 0.006628825 0.008806034 0.008533883 0.0028770266 0.0034018895 0.008320049 0.007717429 0.0068815365 0.00954473 0.011819136 0.0025465572 0.0074063996 0.013121574 0.017981416 0.017748144 0.0047626453 0.0068232184 0.004276661 0.0059873257 0.0033824502 0.006531628 0.0048209634 0.0049764784 0.0061039617 0.00800902 0.0031297384 0.033105243 0.008708837 0.016445706 0.019303294 0.052427977 0.0071536875 0.013121574 0.014501769 0.030830838 0.003324132 0.005967886 0.032852534 0.0106333345 0.03545741 0.04272773 0.013588118 0.0022938454 0.03448544 0.021810971 0.050425723 0.013179892 0.005443023 0.008106217 0.007970141 0.007270324 0.0027603903 0.0026048755 0.003848995 0.002740951 0.0019439368 0.0017689825 6.0761642 0.0 4.0 0.0 10.0 742400.0 765952.0 0.0 0.0 13.0 1.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 388096.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -21504.0 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 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -388096.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 317440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6944275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.729128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.514033 0.0 0.0 0.0 0.0 0.0 0.0 -4.9621387 7.8184342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -21076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 2117.0 0.0 0.0 0.0 0.0 0.0 -5608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -388080.0 0.0 0.0 0.0 0.0 0.0 0.0 -7998.0 317440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7998.0 405504.0 317440.0 446464.0 0.0 0.0 0.0 0.0 21076.0 421888.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18115234 0.014787947 0.0057896203 0.01436942 0.009416853 0.007882254 0.00453404 0.005301339 0.00516183 0.0023716518 0.0034877232 0.0026506695 0.0063476562 0.002999442 0.0041852677 0.005301339 0.0066964286 0.0026506695 0.0018833706 0.0013253348 0.005301339 0.002580915 0.0026506695 0.0023716518 0.00453404 0.0026506695 0.0023018974 0.0018833706 0.0055106026 0.0032087055 0.0035574776 0.00327846 0.007672991 0.0020228794 0.0017438616 0.0020228794 0.007882254 0.0023716518 0.001953125 0.0026506695 0.0041852677 0.0024414062 0.0020228794 0.0027204242 0.00327846 0.0038364956 0.012346541 0.002232143 0.008858817 0.0036969867 0.002859933 0.0020926339 0.0043945312 0.00327846 0.0027204242 0.0034179688 0.0029296875 0.0026506695 0.002232143 0.002580915 0.0042550224 0.002859933 0.0027204242 0.0026506695 0.006626674 0.002580915 0.0020926339 0.0020228794 0.0032087055 0.0027901786 0.0031389508 0.002232143 0.0029296875 0.0017438616 0.0016043527 0.0013950893 0.00390625 0.0020228794 0.0032087055 0.0023716518 0.004813058 0.0016043527 0.0021623883 0.0026506695 0.0035574776 0.002859933 0.0027901786 0.0025111607 0.0034877232 0.0016741072 0.0020926339 0.0016741072 0.002859933 0.0016741072 0.0018833706 0.0053710938 0.00453404 0.015973773 0.00327846 0.004464286 0.010951451 0.0073242188 0.005231585 0.004813058 0.002859933 0.011579241 0.0017438616 0.0021623883 0.0078125 0.004045759 0.004813058 0.0041155135 0.0059291297 0.0013950893 0.00655692 0.0055106026 0.019321987 0.0066964286 0.0034179688 0.0033482143 0.0053710938 0.00327846 0.0017438616 0.002232143 0.002999442 0.0016043527 0.0027901786 0.0024414062 0.0041155135 0.0026506695 0.0024414062 0.0057896203 0.002859933 0.0027901786 0.0023018974 0.0025111607 0.002232143 0.0038364956 0.0025111607 0.006905692 0.0029296875 0.0041155135 0.0014648438 0.0011858259 0.0038364956 0.0010463169 0.0013253348 0.0017438616 0.002859933 0.0013253348 0.0014648438 0.0012555803 0.0018833706 0.0011858259 0.001953125 0.0009765625 0.0017438616 0.0009765625 0.0032087055 0.0018833706 0.002859933 0.0030691964 0.0011858259 0.0027204242 0.0015345982 0.00069754466 0.000906808 0.0011858259 0.0011858259 0.0014648438 0.0015345982 0.0012555803 0.0023018974 0.001813616 0.0021623883 0.0013950893 0.0037667411 0.0013253348 0.000906808 0.0009765625 0.0029296875 0.0008370536 0.001953125 0.0023018974 0.0027901786 0.0016741072 0.0016043527 0.0025111607 0.002859933 0.001813616 0.0023018974 0.0024414062 0.004952567 0.0041852677 0.0026506695 0.0029296875 0.002232143 0.0016043527 0.0013253348 0.0025111607 0.0030691964 0.0016741072 0.0013950893 0.0012555803 0.001813616 0.0024414062 0.0013253348 0.0024414062 0.0030691964 0.0013950893 0.001953125 0.0013950893 0.0016741072 0.0013950893 0.0013950893 0.0013253348 0.0037667411 0.0016741072 0.0024414062 0.004045759 0.0031389508 0.0016741072 0.0023018974 0.0027901786 0.0042550224 0.0034179688 0.0023716518 0.0011858259 0.0047433036 0.0013950893 0.0012555803 0.002232143 0.002999442 0.0020926339 0.0021623883 0.0039760047 0.0026506695 0.0024414062 0.0031389508 0.0023716518 0.0041852677 0.0014648438 0.001953125 0.0026506695 0.001813616 0.00062779017 0.002859933 0.0032087055 0.0038364956 0.0009765625 0.0017438616 0.0023716518 0.00327846 0.0017438616 0.0021623883 0.0080217635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10445463 0.0014648438 0.007361779 0.0033428485 0.0012019231 0.0020282452 0.01986929 0.0087890625 0.0002629207 0.00041316106 0.00033804087 0.00033804087 0.00033804087 0.00048828125 0.0017653245 0.0013897235 0.041579027 0.0011268029 0.0068359375 0.004281851 0.0008638822 0.00018780048 0.013484075 0.0056340145 3.7560098e-05 0.0002629207 0.0 0.00011268029 0.00015024039 0.00045072116 0.00030048078 0.0016150841 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029221755 0.0026292067 0.0030423678 0.0026667668 0.0026292067 0.0030048077 0.010103666 0.0055964543 0.0033052885 0.001164363 0.001164363 0.0017277644 0.0017277644 0.0026292067 0.0033428485 0.0029672475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020770732 0.0049954928 0.0037935697 0.0044696513 0.0031926082 0.0033804087 0.0033804087 0.004281851 0.0056340145 0.0022536058 0.0025165265 0.003530649 0.0035682092 0.0028921275 0.0037935697 0.0044696513 0.06434044 0.043344352 0.03947566 0.039701022 0.037785456 0.036921576 0.04747596 0.051494893 0.04330679 0.025954027 0.024451623 0.028207632 0.033804085 0.030573918 0.03549429 0.033052884 246.0 8.020326 1973.0 0.011150532 0.0010136848 0.0005068424 0.0010136848 0.03598581 0.0025342118 0.0010136848 0.004054739 0.004054739 0.0030410541 0.0020273696 0.0025342118 0.004561581 0.0121642165 0.07197162 0.0035478966 0.030917386 0.0035478966 0.008109478 0.0035478966 0.011150532 0.011150532 0.010136847 0.009123162 0.0030410541 0.0010136848 0.004054739 0.0005068424 0.0025342118 0.0010136848 0.0030410541 0.0020273696 0.011657375 0.004054739 0.0030410541 0.0035478966 0.0035478966 0.0050684237 0.004054739 0.004054739 0.0015205271 0.0030410541 0.0005068424 0.0015205271 0.0060821082 0.0030410541 0.004054739 0.0030410541 0.0050684237 0.0020273696 0.004054739 0.004561581 0.0070957933 0.0035478966 0.0025342118 0.0020273696 0.0035478966 0.0015205271 0.0020273696 0.0020273696 0.0020273696 0.0015205271 0.0025342118 0.018246325 0.005575266 0.10136847 0.0131779015 0.015205272 0.054738976 0.04460213 0.0141915865 0.01926001 0.0050684237 0.06538267 0.0010136848 0.004561581 0.0299037 0.0131779015 0.015205272 0.0141915865 0.012671059 0.0010136848 0.022807907 0.013684744 0.08920426 0.009123162 0.0065889508 0.004561581 0.0167258 0.0070957933 0.0005068424 0.0010136848 0.0020273696 0.0020273696 0.0005068424 0.0015205271 5.409977 0.0 0.0 0.0 2.0 14336.0 65536.0 0.0 0.0 10.0 0.0 0.0 0.0 1.0 0.0 1328736500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 22.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 3.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6584587 0.0 0.0 0.0 0.0 -7.840106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7762.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 728.0 57344.0 0.0 0.0 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 54744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0