Input: 0.010805758 0.004111108 0.0039515113 0.004067109 0.0040455093 0.003841114 0.0036961173 0.003929112 0.003978511 0.0038593134 0.0037807154 0.0037811154 0.0038205143 0.003746716 0.003791915 0.0040489095 0.0038267144 0.0037289164 0.0037267166 0.0038161145 0.0038339142 0.0037611157 0.0038193145 0.0037891152 0.0037009171 0.0037685155 0.003705117 0.003838314 0.0039081126 0.003842314 0.0038051147 0.0038561136 0.004071709 0.0036751176 0.003699117 0.003752516 0.0041633067 0.0038677133 0.0038115147 0.0038117147 0.003748516 0.0037741154 0.0037603157 0.0037597157 0.0037981148 0.003742916 0.003843314 0.0037777154 0.0038249143 0.0038537136 0.0038245143 0.0040847086 0.0038281144 0.0038821131 0.0038029149 0.0038799131 0.003840514 0.0038685133 0.0038947128 0.0039623114 0.0039031126 0.003929312 0.0038329142 0.0038677133 0.00400771 0.003934512 0.0040813084 0.0039505116 0.0039433115 0.0041199075 0.0038309142 0.0038637135 0.0038353142 0.0038535136 0.003752916 0.0038591137 0.0038649135 0.0039541116 0.0038511138 0.0038739133 0.0041593066 0.003840914 0.0039525116 0.00403211 0.0039007126 0.00402971 0.003886113 0.0038743133 0.0037753154 0.0038715133 0.003875113 0.003885913 0.0038335142 0.003884913 0.0038943128 0.0038341142 0.0037129167 0.003886313 0.003743516 0.0037655158 0.003982911 0.003978711 0.003924712 0.0038301141 0.0038905127 0.0039945105 0.0038819131 0.0038045149 0.003965711 0.0038335142 0.0040055104 0.003968711 0.0038491138 0.0038017149 0.0039523114 0.003975911 0.004238305 0.004090308 0.0038541136 0.003927312 0.003754716 0.0038241143 0.003841314 0.0038277144 0.0038651135 0.003888913 0.0038053147 0.0038737133 0.003965711 0.003747316 0.0037367162 0.0040867086 0.0038063147 0.0038507138 0.0036931173 0.0038083147 0.0038295141 0.0043519023 0.0038153145 0.0057842704 0.003707717 0.0040479093 0.003794315 0.0038557136 0.0038343142 0.0038181145 0.0037857152 0.0038731133 0.0038091147 0.0038053147 0.003791915 0.0038029149 0.003757116 0.0038097147 0.0038283141 0.003756116 0.0038239143 0.0038127145 0.0038657135 0.0038123147 0.0038283141 0.0038449138 0.003750516 0.0037621157 0.0037377162 0.0037677155 0.0037715156 0.0038305141 0.0037779154 0.0037377162 0.0037777154 0.0038029149 0.0038213143 0.003748916 0.0037823152 0.0038249143 0.0038261143 0.003742916 0.0037691155 0.0038639135 0.003839714 0.0037865152 0.0038051147 0.0038535136 0.003918712 0.0038803131 0.0039371117 0.0038039149 0.003804715 0.003792315 0.0038475138 0.0038561136 0.0041121077 0.0037321164 0.0037509159 0.004072509 0.0038351142 0.0037183168 0.0038927128 0.003921512 0.0038161145 0.0038513138 0.0038031149 0.0038105147 0.0037797154 0.0037785154 0.003884913 0.0038549136 0.003837914 0.003841914 0.0038695133 0.0038673133 0.0037753154 0.003756516 0.0039025126 0.0038277144 0.0038671133 0.0037799154 0.003796715 0.0038269144 0.0038787131 0.0039001126 0.003837914 0.0037861152 0.003838914 0.0037275164 0.0038325142 0.0038201145 0.0038743133 0.0038029149 0.0038997126 0.0038791131 0.0048872903 0.003974711 0.0038069147 0.003974311 0.0038661135 0.003838514 0.0038699133 0.0038249143 0.0039119124 0.0037873152 0.0038515136 0.0038235143 0.0039115124 0.0038437138 0.0038585137 0.0039071124 0.00401391 0.0039159125 0.003918312 0.003876713 0.003972311 0.003929312 0.004268104 0.0059974655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017956666 2.4008912e-06 1.9007056e-06 1.9007056e-06 1.7006313e-06 6.702488e-06 1.8006684e-06 1.6005941e-06 1.6005941e-06 7.0025993e-07 9.003342e-07 7.0025993e-07 1.1004084e-06 7.0025993e-07 9.003342e-07 7.0025993e-07 0.00035593213 5.201931e-06 4.001485e-06 4.001485e-06 3.6013369e-06 1.4005199e-05 4.001485e-06 3.4012626e-06 3.4012626e-06 1.6005941e-06 1.8006684e-06 1.6005941e-06 2.2008169e-06 1.6005941e-06 1.8006684e-06 1.6005941e-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 0.0007251692 0.00011284189 1.6906275e-05 1.2404605e-05 2.2908504e-05 1.09040475e-05 2.7810323e-05 1.4905533e-05 1.1104122e-05 6.4023766e-06 9.703602e-06 2.1708058e-05 8.8032675e-06 5.902191e-06 6.2023023e-06 1.0703973e-05 0.00013805124 2.4008912e-06 5.8021537e-06 1.500557e-06 2.1007797e-06 7.6028223e-06 2.9210843e-05 1.16043075e-05 1.4005199e-06 6.002228e-07 5.0018565e-07 6.002228e-07 1.0003713e-06 6.002228e-07 4.0014854e-07 1.500557e-06 0.0002680995 1.9007056e-06 8.1030075e-06 6.2023023e-06 8.263067e-05 4.1315336e-05 0.0002732014 0.00012544656 2.7010026e-06 1.3004827e-06 4.3015966e-06 3.001114e-07 1.3004827e-06 5.0018565e-07 6.002228e-07 1.6005941e-06 0.00029260863 7.302711e-06 5.7521353e-05 7.7928926e-05 0.00014365332 8.032982e-05 0.00019337179 9.043357e-05 1.6806238e-05 3.4012626e-06 6.002228e-06 3.4012626e-06 5.7021166e-06 1.2104493e-05 6.4023766e-06 2.7410175e-05 0.0007994968 1.5405718e-05 0.0002729013 0.0002540943 0.0006096263 0.00037413888 0.00073967455 0.0003628347 3.521307e-05 9.5035275e-06 9.303453e-06 3.3612476e-05 4.331608e-05 4.221567e-05 1.3304939e-05 7.312714e-05 0.00053809973 7.5428e-05 5.371994e-05 0.0005854173 5.8221613e-05 5.231942e-05 5.802154e-05 7.262696e-05 7.952952e-05 5.722124e-05 4.7717713e-05 5.021864e-05 4.8017824e-05 4.811786e-05 5.6821093e-05 0.00016726209 0.00048868137 5.44202e-05 2.9510955e-05 4.3416116e-05 7.7228666e-05 3.4612847e-05 3.6713627e-05 3.1611733e-05 0.00013314943 2.4208986e-05 2.5609506e-05 7.662844e-05 4.191556e-05 4.9118233e-05 0.0001018378 0.00018546885 0.0024352039 0.00046177141 0.00048267917 0.00031371645 0.0008668218 0.000606125 0.00037774022 0.00035343118 0.0016276041 0.00016956295 0.00012494638 0.00037183802 0.00044676583 0.00027000022 0.00060302386 0.0011423241 0.0034894953 0.0006150283 0.0006745504 0.00069705874 0.0014542398 0.0015127616 0.00060302386 0.0007876924 0.0025955634 0.00040775136 0.00029741038 0.0004407636 0.0010876037 0.00056160847 0.0013116869 0.0023123582 0.059471276 0.05937594 0.05945017 0.060086604 0.059259996 0.059794996 0.059826106 0.060516264 0.059381444 0.060310688 0.06004589 0.060330596 0.059932347 0.060365107 0.060621902 0.060870096 24322.0 6.1936107 150641.0 0.016250556 0.008689533 0.009532597 0.008855491 0.010096853 0.009101108 0.009061278 0.008749278 0.008868768 0.009187406 0.0093334485 0.008828938 0.008941789 0.008921874 0.01077396 0.009114385 0.009691916 0.009711832 0.010229619 0.009512682 0.009585704 0.00999064 0.009618895 0.009705193 0.009804768 0.009937533 0.011139066 0.009711832 0.009632172 0.009625534 0.009539235 0.009353363 0.008888682 0.011703321 0.009585704 0.011271832 0.011716598 0.009399831 0.010402215 0.010408853 0.008596597 0.011563917 0.009041363 0.010594726 0.0109664695 0.012871662 0.010581449 0.012161364 0.010900087 0.009180767 0.013654981 0.0106478315 0.010986385 0.00987115 0.009240512 0.009492768 0.009645448 0.009658725 0.010329193 0.009512682 0.012015321 0.009293619 0.009579065 0.009240512 0.008769193 0.014644087 0.009964087 0.010515066 0.011623662 0.01822213 0.009452938 0.009791491 0.009917619 0.014644087 0.009373278 0.010229619 0.014703833 0.010946555 0.014352002 0.013668258 0.010143321 0.008789108 0.014345364 0.0127787255 0.014743662 0.011477619 0.009725108 0.00967864 0.009393193 0.0099840015 0.009320172 0.008809023 0.008643066 0.008994895 0.009293619 0.008961704 6.5645156 179.0 3.0 0.0 71.0 5000112.0 208896.0 0.0 0.0 22.0 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 4.0 0.0 4.0 0.0 148992.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148992.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.751765 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 -3.8976884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6017766 0.0 0.0 0.0 0.0 0.0 0.0 -4.9370193 4.9095483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4341.0 0.0 0.0 0.0 0.0 0.0 -10388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148684.0 0.0 0.0 0.0 0.0 0.0 0.0 -6040.0 7388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6040.0 176128.0 7388.0 200704.0 0.0 0.0 0.0 0.0 6276.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.19050665 0.00665307 0.0044976384 0.0036152855 0.008039931 0.0035680549 0.003963074 0.0030506656 0.0069665094 0.0027780163 0.0028338342 0.0026771147 0.004733791 0.0030764276 0.0025311292 0.0036968656 0.0056376127 0.0031215113 0.002342207 0.0027629884 0.0043001287 0.0027908974 0.002479605 0.002215543 0.003941606 0.0025762129 0.0020588236 0.0024023186 0.003344783 0.0022971232 0.002352941 0.0022391584 0.004188493 0.0021769 0.0021919277 0.0022928296 0.01600043 0.0026685272 0.0022241306 0.0023121512 0.0029411765 0.002146844 0.0022005152 0.0027372262 0.0026534994 0.0023465008 0.002754401 0.0025504509 0.0036968656 0.0024967797 0.0025053672 0.0039008157 0.0027050236 0.002161872 0.0023336196 0.0024989266 0.0030678404 0.0026835552 0.0026685272 0.0048411335 0.0032310004 0.0026212968 0.002728639 0.002490339 0.004242164 0.0053628166 0.0056698155 0.0026492057 0.006492057 0.0031236582 0.004100472 0.0028037785 0.0031107771 0.002425934 0.002146844 0.0023465008 0.005538858 0.0035723487 0.0033319022 0.0026363246 0.0058029196 0.004051095 0.0036024044 0.0032739374 0.0038471448 0.0031172177 0.0044976384 0.0036947187 0.0025976815 0.002395878 0.002425934 0.0028595964 0.003855732 0.0029969944 0.0038364106 0.003349077 0.0027028767 0.0027908974 0.0024130528 0.0027329326 0.0037913267 0.0038385573 0.0049420353 0.0023507944 0.0032288537 0.0031258052 0.0030506656 0.002039502 0.0035165306 0.0024173465 0.0029562043 0.002936883 0.0031172177 0.0021146415 0.0032911121 0.0029390296 0.0063160155 0.0035895235 0.0025418634 0.0023314727 0.0027071706 0.0023507944 0.002148991 0.0021382568 0.0032288537 0.0023615286 0.0031236582 0.0022069558 0.0029690855 0.002466724 0.002355088 0.0064813225 0.0042078146 0.004306569 0.0022541864 0.002219837 0.0030141692 0.009302275 0.0028853584 0.019377416 0.0026878489 0.006942894 0.0021726063 0.0020888792 0.011644483 0.0020566767 0.0021361099 0.002423787 0.0024302276 0.0020631172 0.0019622156 0.002011593 0.0020545297 0.0022498926 0.0020588236 0.0020180335 0.0023615286 0.0021833405 0.0021124945 0.0020845856 0.0024860455 0.0022756548 0.0018892229 0.0020867325 0.0020223272 0.0018892229 0.0019965651 0.0019729498 0.0021275226 0.0020459425 0.0019729498 0.0020609703 0.0020738514 0.0018806355 0.0020459425 0.0021232287 0.0024366681 0.0020845856 0.002009446 0.002052383 0.002121082 0.002039502 0.002037355 0.0021425504 0.0028617433 0.002108201 0.0021704594 0.00201374 0.0021167884 0.0021167884 0.0020330613 0.0020867325 0.0053241733 0.003580936 0.0039029627 0.0032159726 0.003720481 0.0022327178 0.0041498495 0.0041026194 0.0026771147 0.0026814083 0.0021532846 0.0022649206 0.0056955777 0.0021983683 0.0027157578 0.00242164 0.002466724 0.0021790469 0.0023014168 0.002219837 0.0020910262 0.0020545297 0.0020287677 0.002151138 0.00270073 0.0021640188 0.0022262775 0.002425934 0.0022928296 0.0022091027 0.0020180335 0.0021017604 0.0027307856 0.0022241306 0.0023035638 0.0022391584 0.002329326 0.0022284242 0.0021854874 0.0021446974 0.008170889 0.0043774154 0.0023357663 0.0030893087 0.0026835552 0.002284242 0.0021790469 0.0024087592 0.0033512237 0.0026384715 0.0021554315 0.0023014168 0.0022563331 0.002050236 0.00270073 0.002492486 0.0031300988 0.0023465008 0.0023658222 0.0023078574 0.0026449119 0.0022498926 0.0040446543 0.027247746 0.10589451 0.0 2.155767e-06 6.4673013e-06 2.4791321e-05 0.0 1.0778836e-06 1.0778836e-06 1.0778836e-06 2.155767e-06 1.0778836e-06 2.155767e-06 2.155767e-06 1.9401905e-05 0.0 2.155767e-06 0.0021051066 0.0 1.0778836e-06 1.0778836e-06 9.700952e-06 1.0778836e-06 1.0778836e-06 1.0778836e-06 4.311534e-06 2.155767e-06 1.0778836e-06 4.311534e-06 4.203746e-05 5.3894178e-06 8.623068e-06 1.9401905e-05 0.0060587833 1.2934603e-05 5.173841e-05 2.1557671e-05 4.0959574e-05 3.9881692e-05 0.00017353926 0.00013365757 1.18567195e-05 9.700952e-06 1.07788355e-05 9.700952e-06 1.6168253e-05 1.07788355e-05 9.700952e-06 1.07788355e-05 0.0018787511 0.0 0.0 0.0 4.3115342e-05 3.9881692e-05 0.00016060464 8.407492e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0778836e-06 0.0017267695 0.0 0.0 0.0 7.760762e-05 2.8024973e-05 0.00024575746 0.00012934602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004841853 3.5570156e-05 0.00010132106 0.00019294115 0.00022958919 0.00018647386 0.0004516332 0.00023497861 8.623068e-06 3.664804e-05 1.07788355e-05 1.18567195e-05 6.4673013e-06 5.173841e-05 5.3894178e-06 0.00021665459 0.011729529 0.00034276696 0.00057990133 0.00024467957 0.0013268746 0.00010994412 9.593164e-05 0.00013257968 0.00018862962 0.00029318433 0.00010132106 7.545185e-05 8.0841266e-05 0.00012287873 0.0003675583 0.0018679722 0.005748353 0.00010239894 0.00014335851 3.341439e-05 0.0010487807 0.00031366412 0.001656707 0.0008267367 3.9881692e-05 8.838645e-05 3.9881692e-05 3.341439e-05 3.018074e-05 3.018074e-05 0.00034815638 0.00055403216 0.006265737 0.00020048633 0.0005281629 0.0013301083 0.0010746499 0.00088170875 0.0020490566 0.0010746499 0.00023066708 0.00012611237 5.497206e-05 5.389418e-05 7.22182e-05 0.000113177775 0.00013257968 0.0012643574 0.005165218 0.00028563914 0.00077823194 0.0009215904 0.0008407492 0.0008030232 0.00022958919 0.00027917183 0.0006510417 0.000119645076 8.6230684e-05 0.00011209989 0.00032552084 0.00014012486 0.00041714092 0.0020900161 0.0052988757 0.0005820571 0.0007200262 0.0011770489 0.0011716594 0.00093452504 0.0007178704 0.0003869602 0.00088709814 0.0004128294 0.00027270455 0.00020803153 0.0003945054 0.00033737754 0.00057451194 0.0035839628 0.007392125 0.0008364376 0.0019153991 0.0020867826 0.0032250276 0.0018550376 0.00177743 0.0011781268 0.0032379623 0.00067906664 0.00064134074 0.000851528 0.003942898 0.00072541565 0.0025955436 0.006794978 0.021195503 0.0042199143 0.00590249 0.0026418925 0.0068531837 0.006322865 0.002582609 0.0030525662 0.013331264 0.0035117446 0.0007211041 0.000879553 0.0059100357 0.001202918 0.0036162992 0.0063562794 0.03408591 0.009207281 0.012887176 0.006813302 0.013158803 0.014596699 0.0071064862 0.007009477 0.02693092 0.00816389 0.0016135917 0.0017655733 0.011633597 0.0026623723 0.0068294704 0.012135891 0.0334823 0.030993463 0.030764952 0.031078616 0.030493326 0.030146247 0.031477433 0.031946313 0.03032302 0.03047069 0.029377716 0.030456677 0.030665787 0.030249724 0.031053824 0.031501148 1763.0 8.23426 14517.0 0.0137769515 0.0055796653 0.008610594 0.0038575463 0.020389888 0.0046152784 0.004753048 0.006199628 0.007301784 0.0044086245 0.0039264313 0.005097472 0.005717435 0.007921747 0.012261487 0.010263829 0.017290074 0.010057175 0.00854171 0.008128401 0.007990631 0.0060618585 0.006406282 0.0054418957 0.007852863 0.008472825 0.0066129365 0.007026245 0.006406282 0.0065440517 0.0077150925 0.004546394 0.008128401 0.014947992 0.0072328993 0.0137769515 0.011985947 0.008128401 0.010401598 0.008679479 0.005097472 0.0075773234 0.004270855 0.0044086245 0.0112971 0.0072328993 0.0068884757 0.006819591 0.0115726385 0.009919405 0.010401598 0.015361301 0.011090445 0.008197286 0.009437212 0.012674795 0.0052352413 0.0046841633 0.0057863193 0.0066818213 0.0066818213 0.0065440517 0.0070951297 0.012881449 0.005166357 0.023971895 0.0065440517 0.019907694 0.019218847 0.049459256 0.008472825 0.010952676 0.011090445 0.03272026 0.005924089 0.0037197769 0.022938624 0.015981263 0.021285389 0.025831783 0.014396914 0.0043397397 0.02927602 0.020045465 0.039884273 0.012261487 0.007990631 0.008886133 0.009092788 0.010332714 0.005304126 0.0044086245 0.005166357 0.005166357 0.0046152784 0.004753048 6.294982 0.0 17.0 0.0 4.0 465800.0 299008.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1499271000.0 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 6.0 0.0 4.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.916167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5198028 0.0 0.0 0.0 0.0 0.0 6.100715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3991585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 294912.0 61456.0 229376.0 0.0 0.0 9440.0 304296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 147936.0 0.0 0.0


Input: 0.04855207 0.0052163657 0.0041091647 0.004794575 0.004441984 0.0037631644 0.0034336403 0.0037631644 0.0055425945 0.0037796407 0.0035555644 0.0035061357 0.004194841 0.0038488407 0.0032787642 0.0044518695 0.0039015645 0.0033611453 0.0030645735 0.0034863644 0.0035951072 0.004277222 0.003249107 0.003374326 0.00349625 0.0033216022 0.003387507 0.0033018307 0.0034468214 0.003400688 0.0033776213 0.003387507 0.004046555 0.0033644403 0.0033842118 0.0034995452 0.0037368026 0.0035885167 0.0032787642 0.0031930879 0.0034600024 0.0031766116 0.0033842118 0.0033347833 0.003522612 0.0034039833 0.0036412405 0.0034896596 0.0033940976 0.0033084212 0.0029195829 0.0037763454 0.0033248975 0.0036214693 0.003249107 0.0034204596 0.003331488 0.0038488407 0.003413869 0.00411246 0.00349625 0.0037796407 0.0036280595 0.0035127262 0.0054733944 0.0035951072 0.0034468214 0.0044320985 0.0037005548 0.004880251 0.0036774883 0.003492955 0.003400688 0.0034468214 0.0032589927 0.0033117165 0.0035555644 0.0040004216 0.0036379453 0.0038356597 0.0048044603 0.0032524022 0.0034369356 0.0044881175 0.00335785 0.0037928217 0.0042014313 0.004484822 0.0033776213 0.0031864974 0.0032688784 0.0033018307 0.003413869 0.0034896596 0.0036643073 0.0036280595 0.0034171643 0.004003717 0.0031963831 0.003509431 0.0036247645 0.004992289 0.004155298 0.0038191837 0.004425508 0.00418166 0.0045573176 0.003456707 0.004003717 0.0035951072 0.0038982693 0.004329946 0.0036313548 0.0035292024 0.004303584 0.0041651838 0.0055425945 0.0058259848 0.0034468214 0.0041717743 0.0036280595 0.0035885167 0.0035885167 0.0033248975 0.0035259072 0.004191546 0.0035028404 0.0035390882 0.0041750697 0.0038850885 0.0035951072 0.004636403 0.003578631 0.0042244983 0.0033216022 0.0032952405 0.003548974 0.0047154888 0.003674193 0.006142328 0.0036247645 0.0041388217 0.0036972596 0.0033809165 0.0036148787 0.003456707 0.0037071453 0.0033710308 0.0035588597 0.0034105738 0.0033216022 0.0034863644 0.0034731834 0.0033908023 0.0034171643 0.0035390882 0.0035324977 0.00370385 0.0035028404 0.003674193 0.0034105738 0.0036148787 0.0032721737 0.0036313548 0.0035193167 0.0035753357 0.003235926 0.0034731834 0.0035423834 0.0032458117 0.0032392212 0.0032853547 0.003430345 0.0035720405 0.0034468214 0.0035160214 0.0034797739 0.003387507 0.0034039833 0.0035423834 0.0034072786 0.0034600024 0.0032820594 0.0036774883 0.003578631 0.0036115835 0.0033117165 0.00349625 0.0035423834 0.0033380785 0.0035852215 0.0037532789 0.004784689 0.0037368026 0.003947698 0.00363465 0.0034764786 0.0033150117 0.0037532789 0.0038982693 0.0037466884 0.003782936 0.0035522692 0.0034995452 0.003548974 0.0035522692 0.0035522692 0.0034698881 0.0035127262 0.003443526 0.003743393 0.0037368026 0.0036676025 0.0034764786 0.0037005548 0.0035324977 0.0037895264 0.0033940976 0.0035522692 0.0034336403 0.0035588597 0.003535793 0.0035160214 0.0036544215 0.0037532789 0.0033084212 0.0033413738 0.0035522692 0.003674193 0.0034204596 0.0036148787 0.0036544215 0.0053646513 0.0037104406 0.0034632976 0.0042673363 0.004089393 0.0034237548 0.0036807836 0.0037203263 0.0037895264 0.0036379453 0.003456707 0.0036445358 0.0039674696 0.0035456787 0.004072917 0.0036676025 0.004132231 0.003756574 0.003548974 0.0038027074 0.004102574 0.0039806506 0.0036939643 0.0117244655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031283104 8.275953e-06 1.48967165e-05 1.1586335e-05 8.275953e-06 9.931144e-06 2.482786e-05 6.6207626e-06 4.965572e-05 8.275953e-06 1.9862287e-05 1.8207098e-05 9.931144e-06 1.6551907e-05 2.9793433e-05 2.482786e-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 0.00290817 1.1586335e-05 9.931144e-06 9.931144e-06 8.275953e-06 1.1586335e-05 3.3103813e-06 5.9586866e-05 5.4621294e-05 1.3241525e-05 6.1242055e-05 5.6276484e-05 5.7931673e-05 3.8069385e-05 3.6414196e-05 4.965572e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008318989 0.00010096663 0.0004055217 0.00019034692 0.0005329714 0.00038400423 0.0014019465 0.00086731993 0.0003724179 2.1517479e-05 0.00010924259 4.1379768e-05 8.110434e-05 3.4759003e-05 7.282839e-05 0.0006240069 0.003793697 8.6069915e-05 0.00014400159 0.0001059322 0.00077297405 0.0006206965 0.002562235 0.0012546346 0.0003376589 0.00019200212 5.4621294e-05 4.3034957e-05 5.9586866e-05 4.634534e-05 4.800053e-05 4.800053e-05 0.0036182469 0.00010096663 0.00032607256 0.00037738346 0.0005329714 0.0004435911 0.0025208555 0.0013241526 0.00034593485 0.00022841632 4.634534e-05 4.3034957e-05 6.9518006e-05 5.131091e-05 4.634534e-05 9.4345865e-05 0.006152344 0.00018869173 0.00015724312 0.00017213983 0.00032938295 0.00032772776 0.00028965838 0.0006041446 0.0006968353 0.00052304025 0.000599179 0.0005313162 0.00055448886 0.0006289725 0.0005147643 0.0012893935 0.0051708156 0.00014400159 0.00017213983 0.00021848518 0.00032441737 0.00029627912 0.00048662606 0.00067035225 0.0011321504 0.0006273173 0.0005892479 0.00057931675 0.0007249735 0.0006240069 0.000607455 0.0011917372 0.01406912 0.0018687103 0.00095007947 0.0015956038 0.003280588 0.0024877517 0.0018025027 0.0026003045 0.005112884 0.0016816737 0.0017859507 0.001875331 0.0034411415 0.0022990599 0.003697696 0.0056888903 0.011887579 0.0026598915 0.0018389168 0.00247451 0.004661017 0.0037556277 0.002760858 0.0033550714 0.0052304026 0.0006190413 0.0012794624 0.0011089777 0.0025903734 0.0014979476 0.0026284428 0.0058891685 0.05017214 0.050329383 0.05152443 0.051065944 0.05077463 0.050875597 0.0513556 0.052833688 0.050385658 0.05230237 0.050549522 0.051605534 0.05172305 0.052055746 0.05242982 0.0537457 1497.0 7.4008017 11079.0 0.01056052 0.0064085205 0.009838433 0.0075819115 0.0072208685 0.0065890425 0.007852694 0.0065890425 0.0072208685 0.0064085205 0.007491651 0.0059572165 0.0064987815 0.00740139 0.009387129 0.008574781 0.008123477 0.00740139 0.007942955 0.008935825 0.0076721725 0.0069500855 0.006047477 0.00740139 0.006859825 0.008574781 0.0071306075 0.006769564 0.010289737 0.00947739 0.008755303 0.00740139 0.007942955 0.009387129 0.006859825 0.010741042 0.009296868 0.010109216 0.011553389 0.010109216 0.008845564 0.01164365 0.006137738 0.0070403465 0.009296868 0.008845564 0.008574781 0.008123477 0.011102085 0.0064085205 0.008303999 0.014531997 0.009748172 0.0077624335 0.008123477 0.01796191 0.0075819115 0.006769564 0.0070403465 0.006137738 0.005415651 0.006859825 0.0065890425 0.007852694 0.0059572165 0.021843126 0.009748172 0.014441737 0.01796191 0.0465746 0.017420344 0.010741042 0.009206607 0.021662604 0.00740139 0.00631826 0.023377562 0.014441737 0.020940518 0.025002256 0.012907302 0.0077624335 0.021572344 0.022835996 0.03068869 0.013809911 0.008665042 0.014080693 0.012004694 0.011192346 0.007491651 0.0076721725 0.007942955 0.006859825 0.005415651 0.006047477 6.4008946 0.0 0.0 0.0 5.0 303468.0 311296.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1469408100.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0395513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.503649 0.0 5.8479605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25467.0 0.0 19288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34320.0 19288.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056669746 0.008294472 0.006168826 0.0056573455 0.005749495 0.0049532834 0.0042047 0.0054212776 0.005053716 0.005631461 0.003756378 0.0044676876 0.0049594957 0.0031724207 0.004319628 0.0046437033 0.0050340435 0.0037688026 0.004932576 0.0041612135 0.004355866 0.0031765623 0.0041042673 0.0038568103 0.0050661406 0.0033515424 0.0031589607 0.0029353173 0.00415086 0.0034354085 0.0037874395 0.003788475 0.006169861 0.0038267842 0.0034892485 0.0030264314 0.0048994436 0.004156037 0.0038361026 0.0037253164 0.004718251 0.0038982257 0.0033370468 0.0030999437 0.0043713967 0.003719104 0.003724281 0.0035865747 0.0055123917 0.0039437828 0.003109262 0.0029032205 0.0036735472 0.003068882 0.0026857895 0.0028638758 0.004170532 0.0033153037 0.0035234164 0.0033567192 0.004000729 0.0032200483 0.0035058148 0.0034540454 0.006594369 0.0039437828 0.0036228132 0.003219013 0.00416432 0.003219013 0.0035399825 0.0030657758 0.0049988404 0.0037729442 0.0037025379 0.0035855393 0.0041260105 0.0031310052 0.0035606902 0.0034643994 0.005170714 0.003630061 0.0036507687 0.0033432592 0.0039344644 0.0033846747 0.0033577546 0.0035327347 0.0046447385 0.0036414503 0.0038071119 0.0035130624 0.0041125505 0.0033826039 0.0036901133 0.0037874395 0.0059099793 0.003624884 0.0033411884 0.002949813 0.003995552 0.0030543867 0.003262499 0.0030326436 0.004979168 0.0031610315 0.0031983054 0.003050245 0.0035731148 0.0028338498 0.0030771652 0.0031962346 0.004505997 0.0032873484 0.0032293668 0.0031475713 0.0038909782 0.0033360114 0.00329149 0.0036290255 0.004624031 0.0032904546 0.003485107 0.0031662083 0.0040400736 0.0031962346 0.0034695761 0.0033474008 0.008648573 0.00459504 0.004011083 0.0035234164 0.004364149 0.0034312669 0.0030212544 0.0033826039 0.004543271 0.0038319612 0.0029570605 0.0031910576 0.0037253164 0.0028007173 0.0028473097 0.0029788036 0.00522559 0.00321073 0.00349339 0.0030264314 0.0036662994 0.003186916 0.0033059854 0.003262499 0.0045474125 0.002837991 0.003044033 0.0027023556 0.0035203102 0.0032355792 0.0029860514 0.0031496421 0.005011265 0.0034115945 0.0032759593 0.0027934697 0.003775015 0.0030057237 0.003047139 0.003181739 0.004133258 0.0030057237 0.0031227223 0.0030181482 0.0036476625 0.002840062 0.0029218574 0.003028502 0.0046602692 0.003119616 0.003847492 0.002853522 0.003565867 0.0031486067 0.0029922635 0.003127899 0.004256469 0.0031486067 0.0033308347 0.003181739 0.003646627 0.0031951992 0.00333187 0.0033422238 0.0067217215 0.0040659583 0.0037253164 0.0033411884 0.0041249753 0.003259393 0.0033059854 0.003215907 0.0043216986 0.00333187 0.003109262 0.0030833776 0.0036580164 0.0029777682 0.0030782006 0.0028017526 0.00424508 0.0032801006 0.0030864836 0.003001582 0.0037180688 0.003020219 0.0029301406 0.002944636 0.0039831274 0.0031134037 0.0027292757 0.0026433386 0.0035327347 0.002944636 0.0035741501 0.0028794066 0.004955354 0.0032366146 0.0033950284 0.0029839806 0.0038122889 0.0030730236 0.0032024467 0.0029177158 0.0044438737 0.0054533747 0.0034675056 0.0031299698 0.0037864042 0.0030854482 0.00325111 0.003192093 0.004616783 0.0033246223 0.0034271255 0.0030461038 0.0037335996 0.0030906252 0.0033173745 0.0032386852 0.0043517244 0.0030316082 0.0031889868 0.0028700882 0.0040131537 0.0030989083 0.0042274785 0.0045142802 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4024.0 5.7032804 22950.0 0.017254902 0.010413944 0.0093681915 0.008714597 0.013464052 0.012418301 0.011808279 0.011416122 0.012549019 0.009760348 0.008540305 0.008583878 0.013899782 0.010631808 0.011721133 0.010065359 0.016732026 0.011938998 0.008714597 0.0075381263 0.009803922 0.008496732 0.0077995644 0.00832244 0.010239651 0.008409586 0.009586057 0.008888889 0.011503268 0.008932462 0.00962963 0.0091939 0.017995642 0.010849673 0.010413944 0.009019608 0.010893246 0.008845316 0.010675381 0.008278867 0.014204793 0.011633987 0.009716775 0.008932462 0.011416122 0.009324619 0.011677559 0.009542484 0.014814815 0.009673202 0.010021786 0.009063181 0.012069717 0.009455338 0.009542484 0.009803922 0.013681917 0.0091939 0.0105010895 0.009542484 0.011154684 0.009803922 0.010457517 0.010675381 0.01795207 0.011023965 0.009673202 0.0081917215 0.013071896 0.008235294 0.009411764 0.008366013 0.015424836 0.009281046 0.008888889 0.008671024 0.011328976 0.008017429 0.009891068 0.007843138 0.013159041 0.007973856 0.008671024 0.008888889 0.011503268 0.009411764 0.00832244 0.008017429 0.011023965 0.008888889 0.012026144 0.008453159 0.011372549 0.009019608 0.010021786 0.00875817 6.554612 0.0 0.0 0.0 14.0 965824.0 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: 0.40256077 0.006184896 0.006184896 0.001844618 0.0066189235 0.0016276041 0.001844618 0.0013020834 0.0090060765 0.0006510417 0.0034722222 0.00054253475 0.006076389 0.0033637153 0.0015190972 0.004340278 0.005642361 0.0007595486 0.00021701389 0.00086805556 0.00390625 0.0052083335 0.00021701389 0.00043402778 0.003797743 0.0011935764 0.0007595486 0.00021701389 0.0016276041 0.00032552084 0.00021701389 0.00032552084 0.014973958 0.00043402778 0.004340278 0.00054253475 0.02419705 0.0009765625 0.00032552084 0.00021701389 0.0009765625 0.00043402778 0.00021701389 0.0016276041 0.0007595486 0.00054253475 0.0028211805 0.0014105903 0.0027126735 0.0009765625 0.00086805556 0.003797743 0.0013020834 0.0045572915 0.0006510417 0.00021701389 0.0009765625 0.0026041667 0.00054253475 0.0013020834 0.001844618 0.0022786458 0.0017361111 0.00021701389 0.022460938 0.0049913195 0.0083550345 0.006293403 0.019639757 0.006076389 0.00086805556 0.0016276041 0.0023871528 0.0010850695 0.00054253475 0.0009765625 0.004014757 0.0030381945 0.0007595486 0.0011935764 0.009982639 0.0027126735 0.00390625 0.0028211805 0.0027126735 0.0053168405 0.0035807292 0.0022786458 0.0011935764 0.002170139 0.00054253475 0.0014105903 0.0009765625 0.0023871528 0.0016276041 0.0014105903 0.0007595486 0.0053168405 0.0014105903 0.0046657985 0.003797743 0.011284722 0.004340278 0.0007595486 0.0034722222 0.0044487845 0.0050998265 0.00032552084 0.0053168405 0.0035807292 0.006184896 0.0053168405 0.0033637153 0.00021701389 0.005533854 0.005533854 0.017686632 0.0034722222 0.0009765625 0.0010850695 0.0017361111 0.001844618 0.000108506945 0.0 0.002061632 0.0009765625 0.00054253475 0.00032552084 0.00043402778 0.00086805556 0.0 0.0068359375 0.0033637153 0.0045572915 0.000108506945 0.0 0.0010850695 0.009982639 0.000108506945 0.023003472 0.0014105903 0.006184896 0.00021701389 0.000108506945 0.0029296875 0.0 0.00021701389 0.000108506945 0.00086805556 0.0 0.000108506945 0.000108506945 0.00043402778 0.000108506945 0.000108506945 0.00032552084 0.002170139 0.0 0.00043402778 0.000108506945 0.00043402778 0.0011935764 0.000108506945 0.0017361111 0.00054253475 0.00032552084 0.00021701389 0.000108506945 0.00086805556 0.000108506945 0.00032552084 0.0 0.0013020834 0.00021701389 0.000108506945 0.0 0.00032552084 0.0 0.00021701389 0.0 0.0011935764 0.00021701389 0.0 0.0017361111 0.0014105903 0.00021701389 0.0009765625 0.0 0.0011935764 0.000108506945 0.00021701389 0.00032552084 0.006076389 0.00043402778 0.00390625 0.0031467015 0.002170139 0.00021701389 0.0010850695 0.002170139 0.0009765625 0.0010850695 0.000108506945 0.000108506945 0.016601562 0.00021701389 0.000108506945 0.00021701389 0.0047743055 0.0009765625 0.0007595486 0.00021701389 0.00043402778 0.0009765625 0.0011935764 0.00032552084 0.0014105903 0.00043402778 0.000108506945 0.00054253475 0.0009765625 0.00021701389 0.0 0.000108506945 0.0011935764 0.000108506945 0.000108506945 0.000108506945 0.0006510417 0.0015190972 0.000108506945 0.0 0.0111762155 0.00054253475 0.00043402778 0.0024956597 0.002061632 0.00054253475 0.00021701389 0.00032552084 0.00086805556 0.00021701389 0.0 0.0007595486 0.00043402778 0.00043402778 0.002061632 0.0006510417 0.002061632 0.0011935764 0.00032552084 0.00021701389 0.004014757 0.00021701389 0.00086805556 0.02484809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.084106445 0.00018310547 0.0021972656 0.0006713867 0.010803223 0.0040893555 0.0134887695 0.006286621 6.1035156e-05 0.00048828125 0.00048828125 0.00018310547 0.00018310547 0.00036621094 0.00048828125 0.00091552734 0.08123779 0.0015869141 0.0020751953 0.0007324219 0.010498047 0.0060424805 0.0032348633 0.0016479492 0.0067749023 0.0007324219 0.0004272461 0.0 0.0048828125 0.0006713867 0.0017089844 0.002746582 0.13641357 0.005126953 0.014221191 0.0076904297 0.01751709 0.005859375 0.028625488 0.0146484375 0.0026855469 0.0014648438 0.0018310547 0.0018920898 0.0012817383 0.0021362305 0.0045166016 0.0040893555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04663086 0.0041503906 0.0030517578 0.0026245117 0.014038086 0.008300781 0.0021972656 0.0028686523 0.015197754 0.0015869141 0.0017089844 0.0007324219 0.0099487305 0.0016479492 0.0032958984 0.007019043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08642578 0.016906738 0.029907227 0.0134887695 0.040039062 0.02508545 0.010498047 0.017456055 0.040649414 0.004333496 0.0040893555 0.0059814453 0.026916504 0.010070801 0.013977051 0.029174805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 15.941176 1084.0 0.095018454 0.00092250924 0.028597785 0.00092250924 0.008302583 0.0 0.0 0.0 0.00092250924 0.0 0.00092250924 0.0 0.00092250924 0.003690037 0.021217711 0.0055350554 0.009225092 0.0055350554 0.004612546 0.0055350554 0.0027675277 0.0018450185 0.004612546 0.0 0.003690037 0.004612546 0.0018450185 0.0 0.010147601 0.013837638 0.010147601 0.0018450185 0.0018450185 0.0064575644 0.0 0.012915129 0.0064575644 0.007380074 0.0027675277 0.0027675277 0.009225092 0.0027675277 0.0 0.0027675277 0.008302583 0.003690037 0.0027675277 0.0018450185 0.017527675 0.00092250924 0.007380074 0.010147601 0.004612546 0.004612546 0.0055350554 0.008302583 0.0018450185 0.00092250924 0.0 0.0 0.0 0.00092250924 0.00092250924 0.0 0.0018450185 0.040590405 0.009225092 0.03874539 0.026752768 0.089483395 0.004612546 0.004612546 0.007380074 0.03597786 0.0027675277 0.00092250924 0.033210333 0.022140222 0.045202952 0.039667897 0.02306273 0.0 0.042435423 0.045202952 0.054428045 0.011070111 0.004612546 0.007380074 0.0055350554 0.015682656 0.00092250924 0.0 0.003690037 0.0 0.0 0.0 5.2973194 0.0 0.0 0.0 1.0 9216.0 24576.0 0.0 0.0 25.0 0.0 1.0 0.0 0.0 0.0 1541787800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 5120.0 1024.0 4096.0 5.0 0.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.8166891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9558773 0.0 0.0 0.0 0.0 -4.110401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.166974 0.0 5.087579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -972.0 0.0 0.0 0.0 0.0 -1284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3739.0 0.0 700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 16788.0 700.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 17004.0 0.0 0.0 0.0 0.0


Input: 0.17148289 0.0034031724 0.0028483074 0.003787879 0.0030480586 0.0029370857 0.003092448 0.0029740767 0.0050455728 0.0030702534 0.0027817234 0.002389619 0.0033365886 0.004609079 0.0029592803 0.003795277 0.0033365886 0.0035807292 0.0026189631 0.0034031724 0.0029370857 0.0029370857 0.003758286 0.0037064985 0.0032330137 0.0036769058 0.0027743252 0.0030776516 0.002803918 0.0024562026 0.0031072444 0.0025523792 0.003758286 0.0024783972 0.0026707505 0.0023378315 0.007080078 0.0026855469 0.002766927 0.0027151396 0.0031960227 0.0028409092 0.0031812263 0.0032921992 0.0039136484 0.003610322 0.004468513 0.0031072444 0.0038470645 0.0036769058 0.0035363398 0.003469756 0.0038100735 0.0040024268 0.004350142 0.0038100735 0.0033735796 0.003935843 0.0037434895 0.0028409092 0.0029370857 0.0032774028 0.002803918 0.003092448 0.009676847 0.0038840554 0.0042983545 0.0035289417 0.0051121567 0.0054376777 0.0032330137 0.0036769058 0.0030406604 0.0030036694 0.0036769058 0.0026781487 0.0040320195 0.004779238 0.002870502 0.0026263613 0.0028852983 0.0031368372 0.004054214 0.0030776516 0.0032330137 0.0038988518 0.0034993489 0.0028926965 0.003928445 0.0053267046 0.0037508877 0.0028631038 0.0028409092 0.003869259 0.003092448 0.0031072444 0.0027817234 0.0028187146 0.0039210464 0.0029962712 0.0031368372 0.0035585347 0.0036177202 0.0027003433 0.0030628552 0.0032256155 0.0033957742 0.0023304333 0.0030776516 0.0030184658 0.0033069958 0.0032330137 0.0028852983 0.0028113164 0.0031220408 0.0038470645 0.003765684 0.0031368372 0.0027077415 0.003025864 0.003129439 0.0029740767 0.0028187146 0.0028779001 0.002833511 0.0032995977 0.0026707505 0.0027521306 0.0026855469 0.0029740767 0.0028187146 0.0040098247 0.0034327651 0.0037360913 0.0024636008 0.0024636008 0.0030998462 0.0066213896 0.0031590317 0.006776752 0.0027003433 0.004209576 0.0027003433 0.0027077415 0.002951882 0.0026633523 0.0025375828 0.0030998462 0.0032552083 0.0033069958 0.003787879 0.0030702534 0.0033957742 0.0038914536 0.0030036694 0.003869259 0.003092448 0.003787879 0.0035437383 0.0028852983 0.002907493 0.002766927 0.002766927 0.0024636008 0.0025375828 0.0027447324 0.0033587832 0.002574574 0.0028261128 0.0024414062 0.0025523792 0.002470999 0.0028187146 0.0036695076 0.002574574 0.0028483074 0.0026189631 0.0024488044 0.0023378315 0.0023748225 0.0035807292 0.0024192117 0.0036399148 0.0039136484 0.0030850498 0.0026411577 0.0024266099 0.0024857954 0.0028631038 0.002470999 0.0027447324 0.0027077415 0.0030776516 0.0028409092 0.0029740767 0.0032182173 0.0033661814 0.0022194602 0.0025005918 0.003203421 0.0028631038 0.0029592803 0.0036917021 0.002655954 0.0026633523 0.0023156367 0.002574574 0.0027595288 0.0030850498 0.0024192117 0.0028852983 0.0026707505 0.0029000947 0.0028113164 0.003314394 0.002803918 0.002914891 0.002944484 0.003506747 0.002648556 0.0030406604 0.0038840554 0.0025819722 0.002648556 0.0031590317 0.0040024268 0.0031442354 0.003314394 0.0031220408 0.0028779001 0.0027743252 0.002655954 0.004024621 0.0027373342 0.003425367 0.0033365886 0.0034031724 0.0029592803 0.0032330137 0.003980232 0.0033291904 0.0029370857 0.0028261128 0.0028779001 0.0050307764 0.003721295 0.0030110676 0.002988873 0.0033735796 0.0030110676 0.0036251184 0.0025375828 0.0035511365 0.0045794863 0.0024636008 0.005274917 0.061068702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014089337 7.4546755e-05 0.00011182013 4.4728054e-05 0.00017145753 5.2182728e-05 0.0004137345 0.00018263955 1.4909351e-05 1.8636689e-05 1.4909351e-05 1.8636689e-05 2.6091364e-05 3.7273378e-06 1.1182014e-05 1.8636689e-05 0.0067576636 1.8636689e-05 8.200143e-05 1.4909351e-05 0.00017518488 2.6091364e-05 2.2364027e-05 2.9818702e-05 0.00013045683 1.4909351e-05 1.8636689e-05 1.8636689e-05 6.336474e-05 2.9818702e-05 9.3183444e-05 0.0001379115 0.019318791 0.00011927481 0.00026091366 0.0007939229 0.00038018846 0.00019009423 0.00089456106 0.0004062798 8.200143e-05 5.9637405e-05 4.1000716e-05 8.945611e-05 8.200143e-05 5.9637405e-05 5.9637405e-05 6.336474e-05 0.0058109197 4.4728054e-05 0.00016027552 8.572877e-05 0.00019009423 7.081942e-05 0.00083865103 0.00035036975 2.2364027e-05 0.0 1.1182014e-05 1.1182014e-05 1.8636689e-05 1.1182014e-05 3.7273378e-06 3.7273378e-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 0.015188902 0.00028327768 0.00037273378 0.0004733719 0.0033396946 0.000287005 0.0007790136 0.0004137345 0.00019009423 0.00039882516 0.00010063812 0.0001975489 0.00027955032 0.00014163884 0.00027955032 0.00017518488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008345509 0.00026091366 0.0003652791 0.0024302243 0.00060010137 0.00035409708 0.0009728352 0.00056655536 0.00017145753 0.00015654818 0.0001677302 0.00023109495 0.00015282085 0.00017145753 0.00017145753 0.00014909351 0.01159202 0.0005218273 0.00061873806 0.0029110508 0.0007715589 0.0005553733 0.00050691795 0.0005553733 0.00109211 0.0004137345 0.0003950978 0.00046964455 0.00070446683 0.0004994633 0.0006783755 0.00061501074 0.011618112 0.00083492365 0.00109211 0.00061501074 0.007048396 0.00082001433 0.0006783755 0.00054791867 0.0012971136 0.0010958373 0.00035782444 0.00054046395 0.0010436546 0.00065601146 0.00094301644 0.0013455689 0.007137852 0.00052928197 0.00046591723 0.00060010137 0.00057773734 0.00048082657 0.00057401 0.0006112834 0.00057401 0.0006038287 0.0005106453 0.00057401 0.0004435532 0.0005143726 0.0005330093 0.0005367366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00914316 0.0021693106 0.00586683 0.0018823056 0.0064482945 0.0038205213 0.0017294848 0.0023184041 0.010775734 0.0009877445 0.00087219704 0.0014797531 0.0038317032 0.0017033934 0.0034216961 0.0046181716 0.046170533 0.045410156 0.045044877 0.04705391 0.046233896 0.049189676 0.043043297 0.042991113 0.042625833 0.048772216 0.04215992 0.04145545 0.039561965 0.043624762 0.04634199 0.047877654 570.0 6.775439 3862.0 0.01708959 0.004142931 0.0046607973 0.0056965305 0.01708959 0.007767996 0.008544795 0.005178664 0.009839461 0.005437597 0.009062662 0.011910927 0.014241326 0.009839461 0.013723459 0.0072501292 0.016312791 0.013982393 0.013464526 0.016053857 0.017348524 0.013464526 0.018902123 0.015535992 0.016830659 0.01216986 0.011651994 0.013982393 0.012687727 0.006732263 0.0049197306 0.008026929 0.011134127 0.008803729 0.0075090625 0.009321595 0.014241326 0.011393061 0.0059554633 0.010616261 0.010875194 0.006732263 0.004142931 0.0062143966 0.015018125 0.0062143966 0.0072501292 0.0072501292 0.012428793 0.009062662 0.009321595 0.011393061 0.011651994 0.0075090625 0.0059554633 0.007767996 0.011134127 0.013723459 0.009580528 0.0062143966 0.013464526 0.009580528 0.011134127 0.010875194 0.010357328 0.009062662 0.010357328 0.010357328 0.0132055925 0.015535992 0.019161057 0.00647333 0.011910927 0.0069911964 0.008285862 0.007767996 0.015018125 0.012428793 0.015018125 0.010616261 0.011134127 0.011910927 0.01294666 0.016053857 0.015535992 0.0056965305 0.0046607973 0.008285862 0.013464526 0.0075090625 0.007767996 0.0062143966 0.009321595 0.0072501292 0.0056965305 0.0069911964 6.492714 0.0 0.0 0.0 2.0 135168.0 143360.0 1.0 0.0 10.0 1.0 1.0 0.0 0.0 0.0 816304060.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 14.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 7.0 0.0 0.0 1.0 3.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 40960.0 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 61440.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8220077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.53451 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.566338 0.0 0.0 7.9063134 0.0 0.0 0.0 0.0 0.0 0.0 -3.7650316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.993156 0.0 0.0 3.1132185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9488.0 0.0 0.0 40064.0 0.0 0.0 0.0 0.0 0.0 0.0 -11764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58269.0 0.0 0.0 1424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4160.0 17824.0 1424.0 135168.0 0.0 0.0 0.0 0.0 1344.0 139264.0 56.0 16512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 16384.0 0.0 0.0 0.0 0.0