Input: 0.0072565987 0.0040175095 0.0040837456 0.003989545 0.003946787 0.0039353343 0.003879692 0.003959958 0.0039100423 0.003916437 0.0038852275 0.003897635 0.0039526094 0.0038754926 0.0038562133 0.0039072745 0.0043185316 0.0038886634 0.0038644213 0.0038696707 0.0038936264 0.003912142 0.0038742519 0.0038662348 0.0038858957 0.003866521 0.0039201593 0.0038524913 0.0038661393 0.0038643258 0.0038648031 0.0038547819 0.0039894497 0.0038635624 0.0038737745 0.0038313032 0.0039096605 0.0038642304 0.003885132 0.0038146009 0.0038648031 0.003893149 0.0038732975 0.003916914 0.0038734882 0.003876447 0.0038737745 0.0038930536 0.0038791194 0.0039040295 0.003887709 0.0039265538 0.0038609854 0.0038616536 0.003837984 0.0038913358 0.0038775923 0.003895249 0.0038972532 0.003930753 0.00387387 0.0038627035 0.00389334 0.0038469555 0.004058072 0.003958431 0.0038525865 0.003916437 0.0038662348 0.0039810506 0.0038899041 0.0038694798 0.0038777832 0.0038655666 0.003870625 0.0038716749 0.0038940082 0.0038648986 0.00383493 0.0038589812 0.0039428743 0.0038232862 0.0039202548 0.0039098514 0.0038644213 0.003915101 0.0039181546 0.0038951535 0.0038533502 0.0038707205 0.0038734882 0.003877115 0.00390088 0.003929894 0.0039256946 0.0038635624 0.0038606038 0.003904125 0.0038481962 0.0038524913 0.0039290353 0.0039628213 0.003959767 0.003865662 0.0038815052 0.0038979212 0.0038861819 0.0038599356 0.0039002118 0.0038913358 0.0039183456 0.0038945808 0.003882937 0.0038644213 0.003879501 0.0038917176 0.0039863954 0.0038739655 0.0038767334 0.0038807418 0.0038659484 0.003879501 0.003917296 0.003868239 0.003914337 0.003885132 0.0038615582 0.0038734882 0.004228244 0.0039009755 0.0038695752 0.003924454 0.003851346 0.0039423015 0.003895249 0.0038719613 0.0039044113 0.003941824 0.003849437 0.004129462 0.0038667119 0.0039539454 0.003858313 0.00387931 0.003943542 0.003846001 0.0038622261 0.0038774014 0.0038311123 0.0038587903 0.0038681435 0.003875588 0.0038442833 0.0038937218 0.0039083245 0.003857836 0.0038703387 0.0038742519 0.0038903814 0.003860222 0.003866521 0.0038828414 0.003875588 0.0038887588 0.0038785466 0.0038459057 0.0038777832 0.003834739 0.0039012616 0.0038797874 0.0038586948 0.0038932445 0.0038629896 0.0038727247 0.0038893316 0.003892481 0.0039187274 0.0038546864 0.003885132 0.0038378886 0.003869098 0.003865185 0.003884273 0.0038544955 0.003911283 0.003855259 0.0038811236 0.0039051748 0.0038451422 0.0038415154 0.0039254082 0.0038992574 0.003950128 0.0038704341 0.003864994 0.0039375294 0.0038637533 0.0038631805 0.003884273 0.0038750153 0.0038835097 0.003890477 0.003839702 0.003892863 0.003908706 0.0038418972 0.0038341663 0.0038694798 0.0038694798 0.0038897132 0.0038659484 0.0038864682 0.0038530638 0.0038667119 0.0038855139 0.0038887588 0.0039081336 0.003890954 0.0039022162 0.0038876135 0.0038837006 0.0038808372 0.0038531593 0.003882746 0.0038964897 0.0038368388 0.0038719613 0.0038994483 0.0038662348 0.0038580268 0.0038664255 0.0038662348 0.004003861 0.003920827 0.0038910494 0.0039040295 0.0039250264 0.0038551635 0.0038695752 0.003890286 0.003989068 0.0038523003 0.0039001163 0.003860222 0.0038794056 0.0038840822 0.0038713885 0.0038748244 0.003907561 0.0038768286 0.003882078 0.0038480053 0.0039072745 0.003902407 0.003884655 0.00434306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.943789e-05 8.304265e-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 0.00013291597 6.2568346e-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 0.00097164675 0.00045997993 2.243106e-06 2.2908318e-06 3.4362477e-06 2.243106e-06 3.818053e-06 1.3840443e-06 0.00019705926 9.545132e-07 1.8613008e-06 3.388522e-06 1.9567522e-06 8.590619e-07 1.8613008e-06 6.633867e-06 0.00032672987 3.0067167e-06 3.674876e-06 4.3907608e-06 1.5463114e-05 9.258779e-06 3.1976194e-06 2.4340088e-06 8.309038e-05 8.924699e-06 9.545132e-07 1.1501885e-05 1.3363185e-06 1.0499646e-06 1.3840443e-06 1.231322e-05 0.0002854949 6.777044e-06 5.631628e-06 6.2997874e-06 3.0973955e-05 3.4839734e-06 1.5749469e-06 2.52946e-06 3.1498937e-06 1.1454159e-06 5.7270796e-07 1.9185716e-05 1.0499646e-06 6.204336e-07 1.7658494e-06 2.0712938e-05 0.0002681705 2.0999291e-06 2.2049257e-05 1.7658494e-06 1.6656257e-05 9.497407e-06 7.712467e-05 4.223721e-05 1.837438e-05 2.4817344e-05 8.590619e-07 1.3840443e-06 1.002239e-06 7.1588494e-07 6.6815926e-07 1.2885929e-06 0.00025409143 2.0999291e-06 1.4556327e-05 5.4407255e-06 2.3671928e-05 2.5342326e-05 7.884279e-05 4.0280458e-05 2.519915e-05 1.9090264e-06 1.0976902e-06 1.2408672e-06 2.815814e-06 1.3840443e-06 4.533938e-06 6.204336e-06 0.0003596606 2.4340088e-05 6.3952386e-05 2.4292362e-05 3.3837496e-05 2.5676407e-05 0.000117786934 5.7366247e-05 1.3935894e-05 2.1953805e-05 4.5816637e-06 4.104407e-06 6.7293186e-06 3.531699e-06 3.6271504e-06 1.6560805e-05 0.00041478372 2.4483264e-05 2.8683124e-05 2.9351282e-05 5.798668e-05 1.9853875e-05 8.8197026e-05 4.949151e-05 1.2265496e-05 5.015967e-05 5.1543716e-06 1.7228964e-05 1.5606292e-05 6.15661e-06 1.6369902e-05 4.390761e-05 0.0001283343 1.5272212e-06 4.104407e-06 1.7372142e-05 3.388522e-06 2.243106e-06 1.5892645e-05 1.1454159e-05 1.5463114e-05 1.6465354e-05 1.3840443e-06 4.533938e-06 1.861301e-05 2.3385574e-06 1.30291055e-05 3.708284e-05 0.00017486683 1.3363186e-05 3.1546664e-05 2.7155902e-05 5.3929998e-05 1.9090265e-05 3.5603345e-05 2.5342326e-05 2.1381096e-05 1.0547371e-05 7.349752e-06 1.0833725e-05 1.2885929e-05 6.2997874e-06 1.1835964e-05 2.6678645e-05 0.00037016024 3.870551e-05 4.772566e-05 4.662797e-05 0.000121843615 9.067876e-05 6.0325237e-05 7.182712e-05 0.00016861476 2.0856114e-05 1.5463114e-05 3.3264787e-05 8.4331245e-05 3.994638e-05 7.659969e-05 0.00017916213 0.0007292004 0.00011124852 0.00011840737 0.00014527692 0.00025022565 0.00027661794 0.00015095627 0.00016785115 0.00047744752 6.519326e-05 5.5218592e-05 9.6024036e-05 0.00024029872 0.0001279525 0.00022865365 0.00047362948 0.061728038 0.061705608 0.061756626 0.061818764 0.06172126 0.061802536 0.06168055 0.061731234 0.06183394 0.061742213 0.0619104 0.061834324 0.061685655 0.06190677 0.061864246 0.061842006 48475.0 5.6657248 274646.0 0.011112487 0.009954632 0.010158531 0.009954632 0.010147608 0.010005607 0.010351507 0.010125762 0.010042017 0.010449816 0.010584534 0.01056997 0.010533559 0.010504431 0.010504431 0.010493508 0.010216788 0.010588176 0.010420687 0.01011848 0.010329661 0.010227711 0.010191301 0.010209506 0.0104352515 0.010107556 0.010307814 0.010599098 0.010209506 0.010551765 0.010551765 0.010300532 0.010307814 0.010282327 0.010373353 0.010697407 0.010544483 0.010897664 0.010082069 0.0103114555 0.010366071 0.0104425335 0.01026048 0.010559047 0.010522637 0.01012212 0.009885453 0.010471662 0.010136685 0.010245916 0.0104279695 0.010668279 0.010409764 0.010234993 0.01026048 0.010573611 0.009936428 0.010275045 0.010165813 0.010275045 0.009834478 0.010063864 0.010824843 0.010165813 0.010573611 0.010843049 0.010278686 0.010722894 0.010664637 0.011858902 0.010322379 0.0104352515 0.010213147 0.011036024 0.010275045 0.010664637 0.010748382 0.010566329 0.011094281 0.011148897 0.010449816 0.010289609 0.010711971 0.010784792 0.011403771 0.010715612 0.010668279 0.010245916 0.010140326 0.010209506 0.010566329 0.009965556 0.0103478655 0.01026048 0.010184019 0.010125762 6.5842605 2.0 1.0 0.0 160.0 10477636.0 163840.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1381652400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 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 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.953736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.456709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4048796 -5.013272 4.126409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 45568.0 114688.0 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 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.06588153 0.0036220266 0.0024742011 0.0037240556 0.0034216125 0.002317514 0.0028021513 0.003942689 0.0027365612 0.0028495218 0.002481489 0.002780288 0.00390625 0.0026308885 0.0033560225 0.0034908466 0.0024231868 0.0028932486 0.0029442632 0.0023065824 0.0025397912 0.0035272855 0.003111882 0.002678259 0.004132171 0.004438258 0.0028313026 0.004062937 0.0045876573 0.0036876167 0.0039463327 0.0043508047 0.0035382172 0.0024377625 0.0026345325 0.00502128 0.0053710938 0.003049936 0.0029697702 0.003345091 0.0023940357 0.0026636836 0.0033961055 0.0039354013 0.003479915 0.0035491488 0.003377886 0.0028896048 0.0030025654 0.0036912605 0.0042815707 0.0037495627 0.0033341593 0.00364389 0.004073869 0.0033961055 0.0038916743 0.0041540344 0.003243062 0.0035199977 0.004270639 0.0040192106 0.0038916743 0.0047151935 0.0027912196 0.0029151118 0.0026454641 0.0032612814 0.0019349055 0.0029624824 0.004536643 0.0042196247 0.004048362 0.004667823 0.0029734143 0.0034252566 0.0025033525 0.003345091 0.0030098532 0.004179542 0.0024924206 0.0028531658 0.003206623 0.0028896048 0.0030608675 0.0038224405 0.0041977614 0.0034653393 0.003348735 0.0038115089 0.0036548215 0.0043325853 0.00384066 0.0031592525 0.0033305155 0.0039864155 0.0026964785 0.0029223997 0.0027219858 0.004922895 0.004241488 0.0041212393 0.003571012 0.003953621 0.0033268714 0.0039354013 0.0035236415 0.0043799556 0.0032940765 0.004995773 0.004602233 0.004864593 0.0038260843 0.0047151935 0.004303434 0.0043216534 0.0031045943 0.0038953184 0.003873455 0.0039281133 0.004073869 0.0042342 0.0036511777 0.0034981344 0.0037240556 0.004157678 0.003975484 0.0044783405 0.0032394181 0.0027584247 0.0032940765 0.0031847598 0.0022920067 0.003206623 0.0036038072 0.0028968926 0.0025288595 0.0026381763 0.003177472 0.0029442632 0.0050249244 0.00416861 0.004962978 0.0045803697 0.003414325 0.004573082 0.0048099346 0.0039244695 0.0024268306 0.0038843867 0.004237844 0.0035819437 0.0026563958 0.0034325444 0.0038880305 0.0033669544 0.0039827717 0.0030681554 0.0042451317 0.0042524193 0.0025616547 0.002875029 0.0021243878 0.0038515916 0.0035382172 0.0032211987 0.0029296875 0.0036985483 0.003275857 0.00364389 0.0032940765 0.003939045 0.0036912605 0.004540287 0.0038333721 0.0038333721 0.0027985075 0.0038953184 0.0036220266 0.0036511777 0.004026498 0.0043216534 0.003939045 0.0053018597 0.0041649663 0.0037787138 0.0036001632 0.00377507 0.004205049 0.0030973065 0.00377507 0.0038187967 0.0033523787 0.0032394181 0.0028276586 0.003869811 0.0031920476 0.0034544077 0.004962978 0.0051561045 0.0039900593 0.0040592933 0.0035199977 0.0042852145 0.0036985483 0.0040592933 0.003702192 0.0044273264 0.0027584247 0.0030572237 0.003479915 0.003917182 0.0037641383 0.0033997493 0.00449656 0.0042159804 0.0032211987 0.0033815298 0.0048245103 0.004937471 0.0043580923 0.0041977614 0.004073869 0.00403743 0.0035382172 0.003607451 0.0040520057 0.0053856694 0.004143103 0.0041212393 0.0039135376 0.004325297 0.00244505 0.0035382172 0.0036220266 0.0038005773 0.0030973065 0.0047880714 0.0041868296 0.0036256704 0.003673041 0.0046423157 0.0043435167 0.0041503906 0.0030462919 0.0036803288 0.004266995 0.0038260843 0.004263351 0.004070225 0.003439832 0.0043471605 0.004635028 0.0040556495 0.00443097 0.005633454 0.029962547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032442356 7.315075e-06 3.6575375e-06 1.8287687e-05 1.8287687e-06 0.0 0.0 7.315075e-06 0.0 0.0 0.0 0.0 1.463015e-05 0.0 0.0 0.00044804835 0.0034033386 3.6575373e-05 4.5719218e-05 5.4863062e-06 3.6575373e-05 2.0116457e-05 6.217814e-05 2.5602762e-05 2.3773993e-05 2.0116457e-05 1.8287687e-06 9.143843e-06 2.1945225e-05 3.6575375e-06 1.6458918e-05 1.2801381e-05 0.0031107357 3.6575375e-06 7.680829e-05 4.206168e-05 8.046583e-05 6.217814e-05 0.00020116456 9.875351e-05 1.8287687e-05 1.8287687e-06 3.6575375e-06 1.463015e-05 1.8287687e-05 0.0 7.315075e-06 5.4863062e-06 0.0026974338 2.0116457e-05 1.6458918e-05 2.5602762e-05 3.6575375e-06 0.0 0.0 4.206168e-05 7.132198e-05 0.0 0.0 0.0 4.5719218e-05 0.0 2.3773993e-05 0.0007991719 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051863883 5.1205523e-05 9.875351e-05 9.509597e-05 0.00024322624 0.0002340824 0.0005029114 0.00025602762 0.00014630149 2.1945225e-05 1.2801381e-05 2.3773993e-05 8.960967e-05 2.3773993e-05 5.303429e-05 0.00045170588 0.0050089974 0.00018836318 0.00019567825 0.00014995903 0.00042427433 0.000111554895 0.00033832222 0.00026517146 6.583567e-05 8.412336e-05 0.00014081519 5.85206e-05 6.583567e-05 6.217814e-05 6.766444e-05 0.0002633427 0.002293276 6.766444e-05 2.5602762e-05 7.132198e-05 0.00025968516 0.00017373303 0.00031820577 0.00013167135 5.85206e-05 2.7431532e-05 2.5602762e-05 1.463015e-05 4.206168e-05 2.3773993e-05 3.4746605e-05 0.00017739057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019897004 0.00037672636 0.00038952773 0.00032552084 0.0005358292 0.00035295237 0.0005998361 0.0005248566 0.00025968516 0.00027248653 0.00031820577 0.00025419885 0.00026700023 0.00029077422 0.00029626052 0.00043707574 0.052538697 0.053877354 0.053357985 0.060367655 0.051997382 0.05468567 0.060221355 0.062622525 0.054038286 0.059520938 0.05455217 0.061618533 0.061441142 0.06194588 0.061907478 0.06414589 1114.0 6.037702 6726.0 0.012340172 0.0062444247 0.00460898 0.01427297 0.015908414 0.005947071 0.0069878083 0.006690455 0.005352364 0.007879869 0.010258698 0.012934879 0.008474576 0.009515313 0.012637526 0.007285162 0.009663991 0.00921796 0.011596789 0.00921796 0.011448111 0.00877193 0.00921796 0.0077311923 0.010258698 0.012488849 0.0075825155 0.00921796 0.008474576 0.0105560515 0.0083259 0.011894142 0.006095748 0.0074338387 0.0077311923 0.009366637 0.005947071 0.008623253 0.014124294 0.009812667 0.008028546 0.014421647 0.005947071 0.0105560515 0.008623253 0.007879869 0.0090692835 0.009961344 0.007879869 0.0062444247 0.0075825155 0.007285162 0.009515313 0.009515313 0.013232233 0.00877193 0.008474576 0.011448111 0.009812667 0.009515313 0.0090692835 0.00877193 0.007879869 0.016800476 0.008028546 0.015165031 0.007879869 0.016354445 0.015313708 0.023639608 0.012488849 0.010704728 0.00877193 0.014421647 0.010258698 0.013083557 0.011150759 0.018733274 0.016949153 0.019030627 0.01338091 0.010704728 0.016503122 0.012786203 0.011596789 0.013975617 0.011596789 0.012042819 0.010258698 0.012786203 0.00877193 0.009366637 0.007136485 0.011150759 0.0077311923 0.009812667 6.5157933 1.0 0.0 0.0 2.0 274432.0 274432.0 0.0 0.0 29.0 0.0 1.0 0.0 0.0 0.0 1410253600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 262144.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -262144.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9608555 0.0 3.0901656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -259016.0 0.0 2408.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 262484.0 2408.0 270336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 128.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056644525 0.008300095 0.0061712554 0.0056496533 0.0057541807 0.004967638 0.0042038634 0.005416795 0.005047327 0.0056175706 0.003746427 0.004470874 0.004951079 0.0031720437 0.00432081 0.0046333573 0.005045257 0.003758846 0.0049324506 0.004171781 0.0043497877 0.0031803232 0.0041055456 0.00383957 0.00507527 0.003349016 0.003168939 0.0029288365 0.004139698 0.0034349146 0.0037847192 0.0037919637 0.0061691855 0.0038219765 0.0034908005 0.0030250845 0.0048848437 0.004169711 0.003842675 0.0037205538 0.00473271 0.003895456 0.0033397016 0.003101669 0.0043704864 0.003719519 0.0037267634 0.0035756645 0.0055089034 0.0039534117 0.0030923546 0.0028884744 0.003673982 0.003086145 0.0026825245 0.0028646712 0.0041779904 0.0033117586 0.003513569 0.0033531557 0.004008263 0.0032331042 0.00349701 0.003457683 0.006598679 0.003947202 0.003623271 0.0032299994 0.004157292 0.0032165456 0.0035373722 0.0030644117 0.0050017904 0.0037691952 0.0037091696 0.003580839 0.0041386634 0.003128577 0.0035611754 0.0034659624 0.005159099 0.0036263757 0.0036450042 0.003333492 0.003925469 0.0033821336 0.0033645397 0.0035373722 0.004646811 0.003647074 0.0038033477 0.0035073594 0.0041065807 0.0033800637 0.0036957157 0.003787824 0.0059052794 0.0036336202 0.0033386666 0.0029516048 0.004005158 0.0030499226 0.003265187 0.003033364 0.0049717776 0.00315652 0.003196882 0.0030540624 0.0035756645 0.0028553568 0.003086145 0.0031917074 0.0045226202 0.0032817458 0.003226895 0.0031358213 0.003884072 0.003332457 0.0032879554 0.0036294805 0.0046271477 0.0032900253 0.0034783815 0.0031699738 0.004034136 0.0031927424 0.003470102 0.0033459112 0.00863541 0.00459817 0.0040165423 0.0035228832 0.0043715215 0.0034359496 0.00301784 0.0033924826 0.004541249 0.0038375002 0.0029691986 0.0031906725 0.0037288333 0.002796366 0.002839833 0.0029836874 0.0052232645 0.003211371 0.0034949402 0.0030271544 0.0036708775 0.003183428 0.003305549 0.003265187 0.0045422837 0.0028377632 0.0030540624 0.002702188 0.003513569 0.0032289647 0.0029826525 0.003155485 0.005020419 0.0034235304 0.0032693266 0.0028056805 0.0037774746 0.003018875 0.0030478528 0.0031854978 0.0041345237 0.0030023162 0.0031368562 0.003016805 0.0036532837 0.0028325885 0.002920557 0.0030375037 0.0046664746 0.003113053 0.00384164 0.0028553568 0.003567385 0.0031658344 0.0029878272 0.0031265072 0.0042566448 0.0031492754 0.003332457 0.0031751485 0.0036584584 0.0031999866 0.0033386666 0.0033448762 0.006709416 0.004057939 0.0037215888 0.0033397016 0.004128314 0.003253803 0.0032931298 0.0032299994 0.0043280544 0.0033293522 0.0031171928 0.0030840752 0.003648109 0.0029857573 0.0030768306 0.0028015408 0.0042462954 0.003279676 0.0030975293 0.0029981765 0.0037153792 0.003016805 0.0029422906 0.0029516048 0.00397825 0.0031058085 0.0027228866 0.0026390576 0.0035363373 0.0029516048 0.0035880834 0.0028874394 0.0049593584 0.003252768 0.0033873082 0.0029691986 0.0038095573 0.0030716562 0.0032051613 0.002908138 0.0044418965 0.0054509477 0.0034680322 0.0031368562 0.0037919637 0.0030830402 0.003251733 0.003181358 0.004607484 0.0033158984 0.0034111114 0.0030375037 0.003743322 0.0030975293 0.0033158984 0.003250698 0.0043497877 0.003043713 0.003184463 0.0028646712 0.0040020533 0.0030933896 0.004226632 0.004512271 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 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 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 0.099164635 0.062022604 0.062461123 0.0553204 0.06060856 0.05954543 0.05495652 0.05447498 0.060467567 0.053170823 0.052160047 0.05298318 0.05641618 0.05056406 0.056658767 0.05382342 4040.0 5.702475 23038.0 0.017275805 0.010547791 0.009462627 0.008724716 0.013456029 0.012457679 0.011849987 0.011459328 0.012631305 0.009723066 0.008594496 0.008681309 0.013846688 0.0105043845 0.011763174 0.009853286 0.016668113 0.0119368 0.008637902 0.007465926 0.00980988 0.008681309 0.007856585 0.00842087 0.010287351 0.008551089 0.009592847 0.008898342 0.011459328 0.0090719685 0.00954944 0.009202188 0.01810053 0.010808229 0.010330758 0.009028561 0.010808229 0.008854935 0.010721417 0.00829065 0.014237347 0.011676361 0.0097664725 0.008985155 0.011502734 0.009332407 0.011632955 0.009636253 0.014714819 0.009679659 0.009896693 0.0090719685 0.01206702 0.009375813 0.00954944 0.009723066 0.013629655 0.009289001 0.0105043845 0.009592847 0.011155482 0.009853286 0.010330758 0.01067801 0.017883496 0.010981856 0.009636253 0.008160431 0.013021964 0.008203837 0.009332407 0.00829065 0.015365917 0.009245594 0.008854935 0.008637902 0.011329109 0.008160431 0.009983505 0.007813178 0.013238996 0.0079868045 0.008681309 0.008724716 0.011415921 0.009506034 0.0083340565 0.008030211 0.011068669 0.008854935 0.0119368 0.008507683 0.011242296 0.008985155 0.010070318 0.008768123 6.554864 0.0 0.0 0.0 14.0 966254.0 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: 0.22551937 0.025517737 0.0175579 0.014985589 0.017801486 0.0077708364 0.019014634 0.008067641 0.01055057 0.004631525 0.012237242 0.004642442 0.0051575867 0.0031891202 0.008956692 0.0025040803 0.002901185 0.0057709836 0.0052012545 0.0034347519 0.0030124018 0.002545701 0.003368568 0.003803882 0.00398333 0.0013270943 0.0011892675 0.0014963073 0.011145545 0.0015720439 0.001664838 0.0029591816 0.014520254 0.002745618 0.0020032641 0.002398322 0.006168771 0.0011148957 0.0029816977 0.00092930713 0.008971703 0.0008174082 0.0050497814 0.0014717442 0.0036114706 0.001737163 0.005813287 0.003988106 0.0065870276 0.0031086074 0.0034272466 0.003036965 0.0028295424 0.0026248493 0.0028800333 0.0038263984 0.008841381 0.0035111709 0.0040099397 0.0010780509 0.0010835094 0.0030410588 0.0012725095 0.001504495 0.0016477803 0.003101102 0.0026193906 0.0045476006 0.002769499 0.0034054127 0.0028145316 0.001816311 0.0020912823 0.0032116363 0.0017637732 0.0018934122 0.0028854918 0.0026562356 0.0023471487 0.0022270621 0.0035964595 0.0043231207 0.0030533404 0.0044438895 0.0038502791 0.0018790836 0.0025136326 0.0021178923 0.0020899177 0.001899553 0.0017235168 0.00087813387 0.0009484119 0.0007259786 0.00082150206 0.0018968238 0.0011995021 0.013172008 0.0036428568 0.008245724 0.0064137205 0.02283421 0.0030744919 0.0047297776 0.0038639253 0.0110472925 0.0015372459 0.002488387 0.009797981 0.0061694533 0.012955715 0.016458698 0.005594265 0.0042596655 0.012140354 0.011272455 0.017009323 0.006634789 0.002571629 0.0024733762 0.0026719286 0.0050013373 0.0011933614 0.0029496292 0.000913614 0.0015133651 0.0012882026 0.00054516626 0.0017746901 0.0021417732 0.0015952424 0.00096751656 0.0011210365 0.0006959569 0.0025511596 0.0009627404 0.0015727262 0.001888636 0.0007218847 0.00068913377 0.002031239 0.0008044443 0.0005683648 0.0006031626 0.0007675995 0.00092316634 0.0007921627 0.0014744734 0.0010923794 0.0005874695 0.0009409064 0.0005949749 0.0007389425 0.0015931955 0.00065501826 0.00059702183 0.0010152783 0.00059770414 0.00065433595 0.0006004334 0.0008747223 0.0007600941 0.0008099028 0.0007205201 0.0011960906 0.0007273432 0.00068708684 0.00066661753 0.0007662349 0.00072529627 0.0006516067 0.00061135035 0.0007143793 0.0005997511 0.0007355309 0.000582011 0.0006850399 0.0006911807 0.0005554009 0.0006065742 0.0007130147 0.00070414465 0.00056358863 0.0006031626 0.0006249966 0.0008310544 0.00068708684 0.00057041174 0.00075122406 0.0009852566 0.0005246969 0.0007955743 0.0008023974 0.000762141 0.00059838645 0.0007525887 0.00069527456 0.00097433967 0.0011148957 0.000762141 0.00093613024 0.0012813795 0.0007403071 0.0006256789 0.00067548756 0.00065433595 0.00080717355 0.0009429534 0.0012936611 0.0010787332 0.00064000743 0.0005629063 0.0016477803 0.0005055922 0.0005683648 0.0005465309 0.00062636123 0.00066047674 0.0005240146 0.0005683648 0.00068776915 0.0009572819 0.0005676825 0.0004462312 0.0008187728 0.0007355309 0.0006188558 0.0007989858 0.0006086211 0.0007484948 0.0013018488 0.0008105851 0.0011510581 0.00057791715 0.00055267167 0.00055130705 0.0013455166 0.0005758702 0.0005560832 0.00082150206 0.0007212024 0.0005690471 0.00064137205 0.0006161266 0.0008617584 0.00056563556 0.0006365959 0.00058474025 0.0006693468 0.00072461396 0.0005601771 0.0006495598 0.0009647873 0.005180103 0.010340419 0.036408782 0.00069588615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4145543e-07 6.8291087e-07 0.0 0.0 2.390188e-06 0.0 0.0006788134 6.8291083e-06 3.4145543e-07 2.0487325e-06 3.4145543e-07 1.3658217e-06 3.7560096e-06 3.4145543e-07 6.8291087e-07 0.0 0.0 6.8291087e-07 0.0 1.0243663e-06 3.0730987e-06 0.00012019231 0.001884151 2.4243334e-05 4.4389203e-06 7.853475e-06 3.7560096e-06 7.853475e-06 1.3316761e-05 3.0730987e-06 2.390188e-06 6.8291083e-06 0.0 1.3658217e-06 3.4145543e-07 8.19493e-06 9.902207e-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 0.010104007 0.0017503005 0.0001225825 4.1316107e-05 1.9804414e-05 0.0015338177 3.209681e-05 0.0015607927 4.473066e-05 1.1268029e-05 4.541357e-05 1.3999672e-05 5.804742e-06 8.877841e-06 4.9511036e-05 4.029174e-05 0.006395119 0.001382553 0.00047667176 0.00014477709 1.638986e-05 0.0007051054 7.443728e-05 0.0007126175 0.00015502077 1.707277e-05 8.570531e-05 6.555944e-05 6.8291087e-07 2.9706622e-05 0.00016048405 6.7608176e-05 0.009662164 0.0018633222 0.0007453972 9.321733e-05 6.931545e-05 0.00032711428 0.00064159476 0.00041999016 0.00017516663 0.00023697007 0.0001256556 0.00026189632 1.7414226e-05 3.5511363e-05 0.000551109 0.00015877678 0.005055589 0.0014914772 0.00087207713 0.00026394502 0.0006480824 0.00043774585 0.003029734 0.0014802093 0.00012360686 8.946132e-05 8.092493e-05 8.468094e-05 7.273001e-05 4.8145215e-05 4.677939e-05 0.0001608255 0.038928308 0.00437541 0.0053663133 0.0039403955 0.0035927938 0.0026438893 0.011766896 0.0065023354 0.001665961 0.0009765625 0.00078944495 0.00070100796 0.0007733965 0.0006993007 0.00068803265 0.0033032398 0.21977437 0.02121121 0.02918317 0.0242027 0.020072456 0.015979089 0.03960439 0.028184414 0.008986424 0.0050634425 0.0044809193 0.004199219 0.004718231 0.004088246 0.0038656169 0.03212037 0.031206636 0.006957837 0.0043877023 0.004103611 0.0025226725 0.0024673569 0.009307392 0.005057979 0.0034347 0.0011530949 0.0010776334 0.0010267565 0.0012920673 0.0009308075 0.0010011473 0.0023942853 0.024161726 0.0041818046 0.0074505573 0.006812377 0.0048732515 0.004231657 0.028786398 0.014268739 0.0007214953 0.0006753988 0.0004097465 0.00029126147 0.000517305 0.00076759176 0.0008201759 0.005925617 0.035053473 0.0052567064 0.011226371 0.008421657 0.0056131855 0.004277412 0.02903737 0.015136377 0.001279092 0.0014969405 0.00086900406 0.0003783326 0.0017287888 0.0013142619 0.0013968941 0.012479171 0.0011134861 0.0001608255 0.00027760325 0.00028818837 0.00023457987 0.0001953125 0.0006893985 0.00041281962 0.00013453343 9.185151e-05 8.741259e-05 7.716892e-05 9.9363526e-05 0.0001164363 7.1022725e-05 0.00014580146 0.0015099159 0.00041691706 0.00050671987 0.00062144885 0.00036638166 0.00035033326 0.00080924935 0.0005528163 0.00037423513 0.0002052147 0.00021170235 0.00019326377 0.00020658053 0.00021033654 0.00020999508 0.00024789665 0.004284924 0.0037703507 0.0036825966 0.0037239129 0.0037655705 0.003607135 0.0038908846 0.0037399612 0.0035798186 0.0036026961 0.0035402097 0.0035866478 0.003676109 0.0036231834 0.0036959134 0.0036706456 20542.0 18.094002 371687.0 0.011254093 0.0023568217 0.0028303384 0.0028034342 0.002642008 0.00076139334 0.00048696887 0.0008178925 0.00047889756 0.00037397057 0.00023675835 0.0004573741 0.009177077 0.002155039 0.013968742 0.012230721 0.015507672 0.0065269973 0.0065404493 0.008200448 0.007336818 0.007291081 0.0068633016 0.004471504 0.005593416 0.004519932 0.0042939354 0.0012698857 0.0011461256 0.008980675 0.0010707935 0.00053539674 0.0001721879 0.008501777 0.0076704323 0.014891562 0.008049784 0.005970077 0.007729622 0.004821261 0.004853546 0.010129491 0.0034249248 0.0046625254 0.008084759 0.0075628147 0.00617455 0.006303691 0.010877431 0.00444729 0.008741226 0.013920315 0.010756362 0.004433838 0.007067775 0.0053001586 0.0036778257 0.0037128013 0.0032984742 0.000118379176 7.53322e-05 0.0001506644 6.1880026e-05 0.0044446 0.00019102094 0.04667099 0.011251402 0.02871233 0.02149658 0.08484558 0.009868518 0.015827833 0.012400218 0.040111706 0.0034410674 0.007358342 0.03482231 0.02093159 0.045842335 0.046221685 0.018943358 0.0046329303 0.044733874 0.035589084 0.061274674 0.021639176 0.006909039 0.007299152 0.0077215508 0.016086115 0.001444764 0.00015335483 5.649915e-05 0.000118379176 6.7260895e-05 6.995133e-05 5.635313 0.0 685.0 0.0 27.0 1465608.0 1482752.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1540994000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1428480.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1428480.0 512.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2148213 6.8341856 5.923932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1428068.0 488.0 23260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1436176.0 23260.0 1449984.0 0.0 0.0 11528.0 1454080.0 12.0 1474560.0 28.0 1436098.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.0053455313 0.0036010758 0.0039155777 0.003930373 0.0036362647 0.0037524286 0.003663856 0.004061732 0.0038356024 0.0037046433 0.00368365 0.003796215 0.003660857 0.0037218381 0.003860195 0.0040257433 0.003606274 0.0037402322 0.00378002 0.0038316038 0.0036636563 0.0037218381 0.0037630252 0.003910379 0.0037498293 0.0038617942 0.0037286358 0.0038234063 0.00387559 0.003865393 0.0038443997 0.004025543 0.0035446933 0.003674053 0.003722238 0.003910779 0.0037774206 0.0037858181 0.0038008133 0.0039735595 0.0037176393 0.0038158088 0.003674453 0.0038487983 0.0037870177 0.0038451995 0.003862994 0.0040219445 0.0036912477 0.0037396324 0.0037630252 0.003982157 0.00374803 0.003818608 0.003821607 0.0039253747 0.0038585954 0.0038775895 0.0037994138 0.0039511663 0.003985156 0.0040341406 0.0040545342 0.0042136847 0.0037472302 0.0037042436 0.0037474302 0.0038547965 0.0037470302 0.0038711915 0.0038088108 0.003964762 0.0037388327 0.0038837874 0.0037616256 0.003849598 0.0038102104 0.0038669927 0.003917177 0.004134709 0.003738033 0.003721438 0.0037952152 0.0038767897 0.0037596263 0.003718439 0.0038591952 0.003949767 0.003680451 0.003808011 0.0038489983 0.003850398 0.0038857867 0.003961963 0.003932372 0.0041503045 0.0037276363 0.0038048122 0.003741032 0.0038362024 0.0037966147 0.0038753902 0.0038258056 0.0040061492 0.0038088108 0.003992154 0.0038683922 0.0039091795 0.003885387 0.003891985 0.0038905854 0.0041399077 0.003837402 0.003903981 0.0039157774 0.0040041497 0.0039801574 0.003952166 0.003853597 0.0041245124 0.0039519663 0.004032141 0.003965362 0.0040635313 0.0041235127 0.004154903 0.004218283 0.004379233 0.0035185015 0.0038773895 0.0036530595 0.0038304043 0.003728236 0.0038062118 0.0038040124 0.003954965 0.0037388327 0.0039293733 0.0037328347 0.0040201447 0.0038198074 0.0038943843 0.003901582 0.004042138 0.0037164397 0.0039241747 0.0038589952 0.0038763897 0.0037472302 0.003892185 0.0038364022 0.003922575 0.0037502293 0.0038555963 0.003808411 0.003898783 0.0039009822 0.00387579 0.0041077174 0.004230679 0.0036498606 0.0038030127 0.003712241 0.0038739906 0.0038040124 0.0038633938 0.0038378017 0.0040567336 0.0037176393 0.0039165774 0.0037676238 0.0038933845 0.0038160086 0.0038579956 0.0038811883 0.004045337 0.003766824 0.0037758213 0.0037532283 0.0038647933 0.003860195 0.003924375 0.0038086108 0.003985156 0.0038697917 0.003952166 0.003827605 0.003990754 0.0039733597 0.0040323413 0.0041209133 0.0043668365 0.003831004 0.0038138092 0.0037998138 0.0038647933 0.0038172083 0.003917177 0.0038354027 0.004022744 0.003869192 0.003927374 0.0038875863 0.0038569958 0.0037898168 0.0039219754 0.003930973 0.004247474 0.0038707915 0.003933372 0.003917177 0.0039637624 0.0038238063 0.0038973833 0.003872591 0.0039667618 0.003837402 0.0039025815 0.003952566 0.003917177 0.003932972 0.003926774 0.0040159463 0.00438903 0.0039477674 0.0039769583 0.00397176 0.004023144 0.0039307727 0.0040107477 0.0039051808 0.004167499 0.0040045497 0.003987555 0.0039097792 0.004074128 0.003917177 0.0039741592 0.0040185456 0.0043056556 0.003946968 0.0040925224 0.004115315 0.00406733 0.0040701292 0.004080526 0.004070729 0.0042308792 0.004152104 0.0042180833 0.0041756965 0.0042062867 0.0042386767 0.0042972583 0.004408024 0.0048062997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039408487 1.9999231e-06 4.999808e-07 6.999731e-07 1.5999385e-06 5.9997694e-07 4.999808e-07 1.9999231e-07 1.0999578e-06 4.999808e-07 1.2999501e-06 1.1999539e-06 5.9997694e-07 4.999808e-07 5.9997694e-07 3.5998617e-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 0.00031138805 5.399793e-06 2.2999118e-06 1.6999347e-06 3.89985e-06 2.7998924e-06 4.999808e-06 1.7499327e-05 1.9199262e-05 2.2999118e-06 4.999808e-06 1.9999231e-06 1.899927e-06 2.3999078e-06 9.999616e-07 2.5799009e-05 0.00031448793 1.1499558e-05 3.4998657e-06 4.1998387e-06 7.899696e-06 5.599785e-06 8.8996585e-06 3.199877e-06 3.3998695e-06 4.6998193e-06 1.0199608e-05 4.999808e-06 4.299835e-06 5.8997734e-06 3.099881e-06 1.3699474e-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 0.00049088115 7.999693e-06 2.3599094e-05 1.4899428e-05 2.2999116e-05 1.7499327e-05 7.939695e-05 7.119727e-05 3.279874e-05 3.9998463e-06 2.499904e-06 2.2999118e-06 4.0998425e-06 2.3999078e-06 3.5998617e-06 3.8998503e-05 0.00022219146 7.499712e-06 1.1099573e-05 8.099689e-06 6.0897662e-05 2.7298951e-05 0.00016069383 7.729703e-05 4.1998387e-06 5.099804e-06 5.799777e-06 3.2998732e-06 3.9998463e-06 4.399831e-06 3.199877e-06 9.299642e-06 0.00014469444 4.399831e-06 3.199877e-06 4.399831e-06 3.2298758e-05 1.6799355e-05 9.8896206e-05 7.5497104e-05 8.399677e-06 2.8998886e-06 2.5999002e-06 3.2998732e-06 3.5998617e-06 2.8998886e-06 2.499904e-06 3.199877e-06 0.00019159264 1.0199608e-05 8.999655e-06 1.1999539e-05 2.4099074e-05 1.509942e-05 1.0699589e-05 2.889889e-05 3.5798625e-05 5.1998004e-06 2.2999118e-06 5.099804e-06 1.2799508e-05 8.999655e-06 1.3099497e-05 2.4699051e-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 0.00044488293 7.3797164e-05 3.259875e-05 6.189763e-05 0.00013069499 0.00010469598 5.799777e-05 0.00010749587 0.00017279337 2.1499174e-05 2.1399179e-05 1.8299297e-05 8.419677e-05 3.679859e-05 0.000111695714 0.00015759395 0.00072937197 0.00016719358 0.00011479559 0.0001402946 0.0002731895 0.0002187916 0.00013409485 0.00026148997 0.00028538905 5.889774e-05 5.0398066e-05 5.72978e-05 0.00014279451 7.859698e-05 0.00019879236 0.00036528596 0.05887684 0.060508076 0.060565874 0.06201942 0.060856365 0.06113265 0.06144424 0.06382075 0.06069477 0.062105514 0.06139944 0.06278089 0.062082015 0.062980585 0.06379315 0.066542946 22742.0 5.76229 131046.0 0.009469957 0.009714146 0.010301726 0.0106145935 0.009904919 0.009767562 0.0102101555 0.010217786 0.011545564 0.009553897 0.009759932 0.010172001 0.010095691 0.010118584 0.010843521 0.01033225 0.009485219 0.009515743 0.0106145935 0.010202524 0.010271203 0.009592052 0.009820979 0.010439082 0.010629855 0.010179631 0.009981228 0.010019382 0.010492499 0.010652748 0.0109656155 0.010912199 0.009393648 0.012613892 0.009431803 0.0104238205 0.010172001 0.01024831 0.010515392 0.01024831 0.010149108 0.010874044 0.009782825 0.009874395 0.010523022 0.009889657 0.010439082 0.010568808 0.010629855 0.009820979 0.010286464 0.010843521 0.009904919 0.009614944 0.009965966 0.010683271 0.009614944 0.010110954 0.010118584 0.009836241 0.010431452 0.010729057 0.0103169875 0.010820628 0.010370404 0.011247959 0.009943074 0.010088061 0.010744318 0.012949651 0.010446713 0.010149108 0.010156739 0.011942372 0.009767562 0.009843872 0.011118233 0.010492499 0.011751599 0.011194542 0.0102635715 0.010034644 0.01159135 0.01159135 0.011950002 0.010622224 0.009943074 0.011377684 0.010149108 0.010843521 0.010233048 0.010576439 0.01091983 0.0103169875 0.010950353 0.011156388 6.5821233 0.0 1.0 0.0 91.0 5001561.0 241664.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 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 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 4.1251903 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 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 9496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 9496.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.33972657 0.034296874 0.0265625 0.01375 0.017617188 0.00859375 0.020390624 0.007578125 0.0077734375 0.004453125 0.01375 0.0039453125 0.004453125 0.00234375 0.009726563 0.0017578125 0.0063671875 0.008203125 0.013515625 0.0065234373 0.0028515626 0.0044921874 0.0019140625 0.002265625 0.002421875 0.0007421875 0.0008984375 0.0016015625 0.0016796875 0.0021875 0.0015625 0.000859375 0.008554688 0.0012890626 0.0018359375 0.0009375 0.0012109375 0.0012109375 0.0014453125 0.000859375 0.0073828124 0.001171875 0.00734375 0.001015625 0.0014453125 0.0018359375 0.0031640625 0.001328125 0.0048828125 0.0009765625 0.0008203125 0.0010546875 0.0029296875 0.00046875 0.000546875 0.0008203125 0.0045703123 0.001796875 0.00171875 0.0008984375 0.003671875 0.000859375 0.0019140625 0.001015625 0.001953125 0.0026171876 0.0019140625 0.0034765624 0.0028515626 0.001953125 0.0026171876 0.000859375 0.001015625 0.00375 0.001015625 0.0005078125 0.001796875 0.00140625 0.001328125 0.0012890626 0.0044140625 0.0004296875 0.0019140625 0.0032421874 0.00265625 0.0016015625 0.00171875 0.0008984375 0.0010546875 0.00125 0.0004296875 0.00359375 0.000703125 0.0005859375 0.000390625 0.0065625 0.001171875 0.01515625 0.0027734374 0.011953125 0.008945312 0.023515625 0.0020703124 0.0067578126 0.0032421874 0.017734375 0.0003125 0.0025 0.00921875 0.0048828125 0.015273438 0.020703126 0.005390625 0.000703125 0.015859375 0.012773437 0.0190625 0.007851562 0.0019921875 0.001171875 0.0013671875 0.00453125 0.0015625 0.0053515625 0.0002734375 0.00296875 0.001015625 0.000234375 0.0035546876 0.0017578125 0.0003125 0.0010546875 0.0009765625 0.000625 0.0025390624 0.0001953125 0.003984375 0.0009765625 0.0001953125 0.0004296875 0.0009765625 0.0002734375 0.000390625 0.0002734375 0.0007421875 0.0006640625 0.0001953125 0.0002734375 0.0003125 0.0005859375 0.0002734375 0.0003515625 0.000546875 0.000234375 0.0003515625 0.0001953125 0.00046875 0.000234375 0.000390625 0.000390625 0.00078125 0.003046875 0.0001171875 0.0003515625 0.0004296875 0.00046875 0.0005078125 7.8125e-05 0.0003125 0.0003515625 0.0005859375 0.0003515625 0.00046875 0.00015625 0.0002734375 0.00015625 0.0001953125 0.0002734375 0.0003515625 0.0002734375 0.0004296875 0.0001171875 0.000546875 0.0003515625 0.00046875 0.0002734375 0.0003125 0.000390625 0.0005078125 0.000234375 0.0001953125 0.0003125 0.00046875 0.0004296875 0.0002734375 7.8125e-05 0.0003515625 7.8125e-05 0.001640625 0.0001171875 0.00078125 0.000234375 0.000703125 0.0001171875 0.00109375 0.0001953125 0.00015625 7.8125e-05 0.000625 0.0002734375 0.0001171875 0.0014453125 0.0003125 0.000234375 0.0001171875 0.0001171875 0.0003125 0.000703125 0.00015625 0.0001953125 0.0002734375 0.0007421875 0.0003515625 0.00015625 0.000546875 0.0005859375 0.0001953125 0.000234375 0.00015625 0.0001171875 0.0012109375 0.00015625 0.000546875 7.8125e-05 7.8125e-05 0.002265625 0.0003125 0.000546875 7.8125e-05 7.8125e-05 0.0003125 0.000234375 0.0001171875 0.00015625 0.00015625 3.90625e-05 0.00015625 3.90625e-05 0.0002734375 7.8125e-05 0.00046875 0.00015625 0.0001171875 0.0 0.001796875 0.001484375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030822754 0.00030517578 0.00081380206 0.00034586588 0.0009358724 0.00083414715 0.0048624673 0.0025024414 8.138021e-05 0.0 0.0 4.0690105e-05 6.1035156e-05 0.0 2.0345053e-05 4.0690105e-05 0.059753418 0.0061035156 0.006184896 0.0032348633 0.0008748372 0.0004272461 0.0020141602 0.003540039 0.00032552084 0.00010172526 0.00014241536 0.00014241536 0.00010172526 0.00010172526 0.00010172526 0.00018310547 0.09629313 0.008219401 0.0076904297 0.007385254 0.01381429 0.01171875 0.09082031 0.047587078 0.0018310547 0.0008544922 0.00091552734 0.0008951823 0.00095621747 0.0008544922 0.000773112 0.0010579427 0.1638794 0.02742513 0.016459147 0.009806315 0.007059733 0.007059733 0.024902344 0.019083658 0.0037434895 0.0018717448 0.0028686523 0.0013224283 0.0009765625 0.0017700195 0.001200358 0.0022379558 0.059631348 0.009643555 0.0044759116 0.004374186 0.0043945312 0.0047200522 0.019958496 0.0076497397 0.0028686523 0.0011189779 0.0015869141 0.0011393229 0.0014241537 0.0004679362 0.00095621747 0.00059000653 0.09385172 0.008239746 0.007039388 0.0046183267 0.003926595 0.0075276694 0.0071614585 0.0038655598 0.010274251 0.0024820964 0.0032145183 0.0018310547 0.0034993489 0.0031738281 0.0043538413 0.0016072592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 359.0 14.70195 5278.0 0.0015157256 0.0001894657 0.0001894657 0.0005683971 0.0003789314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007578628 0.0 0.0011367942 0.001894657 0.0013262599 0.0001894657 0.0 0.0001894657 0.0 0.0003789314 0.0 0.0 0.0 0.0 0.0060629025 0.0 0.0060629025 0.0 0.0001894657 0.0068207653 0.006441834 0.010610079 0.0071996967 0.005873437 0.009473286 0.0024630541 0.0011367942 0.012504737 0.0001894657 0.0005683971 0.0035998484 0.0028419856 0.0020841227 0.0028419856 0.016294051 0.0001894657 0.0049261083 0.011557408 0.0070102313 0.00397878 0.0007578628 0.0009473285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02917772 0.001894657 0.05949223 0.009283819 0.044334974 0.034293294 0.102500945 0.0060629025 0.028609322 0.009662751 0.07256537 0.0003789314 0.010610079 0.03751421 0.018946571 0.05949223 0.057597574 0.015725654 0.0007578628 0.061197422 0.047366425 0.082607046 0.02917772 0.0062523684 0.0022735884 0.003789314 0.016104585 0.0041682455 0.0 0.0 0.0 0.0 0.0 4.846672 0.0 0.0 0.0 1.0 25600.0 49152.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541399200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 23552.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.534004 0.0 2.5381622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23396.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 31500.0 1024.0 32768.0 0.0 0.0 0.0 0.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.12238542 0.002823746 0.0012808045 0.0012101769 0.0019504086 0.0007782619 0.0008040682 0.0007646797 0.0021704407 0.0006247827 0.00059761823 0.0006071258 0.0015429416 0.00057045376 0.000456363 0.0018933632 0.0015796137 0.00051069196 0.0003966012 0.00050797546 0.0008149339 0.0006560218 0.0004726617 0.00035313805 0.0006940521 0.0004780946 0.00034634693 0.00040746696 0.0006940521 0.0030736593 0.00034363047 0.0005011844 0.0011544897 0.0004794528 0.00041833275 0.0005826778 0.00085160596 0.00046451236 0.00040746696 0.0004943932 0.0006152751 0.0004916768 0.0004020341 0.00059897645 0.00054736395 0.0011775795 0.00045093012 0.00033548113 0.0009765625 0.0006152751 0.0008583971 0.0016448083 0.00076060503 0.000797277 0.0006139169 0.0005161248 0.0007959188 0.0007836948 0.00059897645 0.001101519 0.00045907946 0.0007660379 0.00047673634 0.0008380237 0.0008380237 0.00077962014 0.000584036 0.0006736787 0.0006736787 0.0020468424 0.0009154425 0.00059626 0.00054872216 0.0005541551 0.00037622784 0.00032869002 0.00057588663 0.0010444736 0.0006016929 0.0003626456 0.001472314 0.0007429481 0.0004740199 0.0008054264 0.00046587057 0.0010431154 0.001010518 0.00093174115 0.000584036 0.0011368329 0.00039931762 0.0005527969 0.0005011844 0.0011273252 0.000912726 0.00074023166 0.0008339491 0.00088012865 0.00050933374 0.00068182807 0.000620708 0.0012522818 0.0013405663 0.0003735114 0.000797277 0.0007741872 0.0011151013 0.00043055677 0.0007836948 0.00057588663 0.0007782619 0.00081085926 0.0007959188 0.00044006432 0.00096026383 0.00091408426 0.002477399 0.0025208623 0.00065873825 0.00048216924 0.00055143866 0.00052834884 0.0004971097 0.0003449887 0.0006533054 0.0024189956 0.00046451236 0.0006424396 0.0009344576 0.0007252912 0.00034227225 0.0028332537 0.0008149339 0.0017616155 0.000632932 0.0008380237 0.00068726094 0.0020984549 0.00062206626 0.0057167616 0.0004387061 0.0016339426 0.00031918247 0.00044957187 0.0006030511 0.0003925265 0.00031782425 0.00035585448 0.00058131956 0.0003966012 0.0003218989 0.00030560023 0.00046451236 0.00033140648 0.00040610874 0.00037079494 0.00038981007 0.00036672028 0.00034227225 0.00032869002 0.00068861915 0.0005826778 0.00036400382 0.00040746696 0.0003870936 0.0002974509 0.00028251045 0.00027028643 0.00045772124 0.00031374957 0.00032597358 0.000431915 0.0004033923 0.00032325712 0.00035313805 0.00034770515 0.00064923073 0.00034091403 0.0002865851 0.00046587057 0.0004740199 0.0003911683 0.00042240744 0.0006139169 0.0005935436 0.00040610874 0.00042376565 0.00035585448 0.00038437717 0.00058811065 0.00038981007 0.00038845185 0.0019599162 0.0010960861 0.00078097836 0.0013405663 0.0008597553 0.00033683935 0.00083259086 0.00089778553 0.00079048594 0.0008461731 0.00038981007 0.00032869002 0.0011409075 0.0005310653 0.00044821366 0.00048352746 0.0006967685 0.00050797546 0.00051748304 0.0004631541 0.0005324235 0.00037215315 0.00046451236 0.00044957187 0.0005908271 0.0007252912 0.00035585448 0.00064651424 0.00041969097 0.00061934977 0.0003925265 0.00042240744 0.00077962014 0.0004943932 0.0002689282 0.00035585448 0.0005269906 0.0005324235 0.00042919855 0.00044278076 0.00271373 0.0008896362 0.0003911683 0.0012645058 0.0011083102 0.000444139 0.00037215315 0.00034770515 0.0010254586 0.0004848857 0.0004957515 0.00055143866 0.00072121655 0.00036128738 0.0007891277 0.0007891277 0.0012753716 0.00048624392 0.0004903186 0.000444139 0.0013025361 0.0004780946 0.0010186675 0.6894749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052160406 0.00021217793 0.00032166718 0.00013397132 0.0002591019 0.00014553229 0.00036791107 0.00026386228 0.00014689242 4.6923964e-05 4.1483505e-05 4.6923964e-05 5.1684365e-05 8.432713e-05 0.00010132856 0.00091671746 0.00087455387 7.208609e-05 2.1081782e-05 0.00012037017 8.9767585e-05 1.8361552e-05 3.2642758e-05 2.1081782e-05 1.36011495e-05 1.8361552e-05 1.9721667e-05 2.7202299e-05 1.9041609e-05 1.36011495e-05 1.1560976e-05 1.9721667e-05 0.0030827005 0.0002523013 0.00030738596 0.000119690114 0.00031894696 0.00017205454 0.0013662354 0.0010398078 8.500718e-05 6.052511e-05 2.3121953e-05 2.9922528e-05 5.4404598e-05 2.1081782e-05 1.2921091e-05 1.7681494e-05 0.0033873662 0.0006147719 0.00042639603 0.00025026113 0.000260462 0.0001407719 0.0010289269 0.0010466084 0.00022441895 0.0001822554 7.956672e-05 9.384793e-05 8.2286955e-05 6.188523e-05 4.556385e-05 0.00043115643 0.0043870504 0.00064809475 0.00038423247 0.0027032283 0.00044679776 0.0003849125 0.0009990043 0.00088611484 0.0003753917 0.00038967293 0.0003373085 0.0003135065 0.0005018824 0.0003740316 0.00026454235 0.0005318049 0.002166663 0.00026454235 0.00019245625 0.00027882354 0.0002060574 0.00030942613 0.00019721666 0.00033594837 0.0010846916 0.00024006028 0.00022509902 0.00026250217 0.00047332 0.00018973603 0.00025638167 0.0016736214 0.0091182105 0.0016722613 0.0011105338 0.001917762 0.001738907 0.0020932169 0.001361475 0.0025141723 0.0048481296 0.00057124824 0.0006147719 0.00081742904 0.0023393976 0.0008242296 0.0019816875 0.004081025 0.012610305 0.003921891 0.0018769585 0.002745392 0.003799481 0.005173197 0.0024590876 0.0047522415 0.009571808 0.0007303817 0.001041168 0.0011540574 0.005175237 0.0020619342 0.0045550247 0.008009717 0.0035002558 0.0024271251 0.002307435 0.002295874 0.0024441264 0.0023060748 0.002177544 0.0024482068 0.0027889155 0.00212858 0.002190465 0.0021231393 0.0026012198 0.002273432 0.0023842815 0.0026005397 579.0 10.682211 6185.0 0.03395311 0.0024252224 0.0030719482 0.0032336297 0.004688763 0.0037186742 0.0021018593 0.009539207 0.006305578 0.0032336297 0.0014551334 0.0025869037 0.0053354893 0.0025869037 0.0054971706 0.0035569926 0.012449474 0.012449474 0.019886823 0.018916734 0.017138237 0.016814874 0.011156023 0.012772838 0.016491512 0.011156023 0.006305578 0.0077607115 0.006305578 0.010509296 0.0064672595 0.010509296 0.0058205337 0.007922393 0.004688763 0.008569119 0.006305578 0.0077607115 0.0077607115 0.0087308 0.0077607115 0.005012126 0.0021018593 0.0032336297 0.0075990297 0.006305578 0.004850445 0.0042037186 0.019725142 0.0051738075 0.005012126 0.010509296 0.0077607115 0.004688763 0.008892482 0.011317704 0.006952304 0.0037186742 0.005012126 0.0035569926 0.004688763 0.0038803557 0.0032336297 0.008245756 0.00970089 0.031042846 0.0064672595 0.024252223 0.021180274 0.057720292 0.0075990297 0.0087308 0.010670979 0.023605498 0.008892482 0.0025869037 0.029749393 0.008407437 0.022312045 0.031204527 0.014551334 0.0033953113 0.03912692 0.023282135 0.04769604 0.016976556 0.0077607115 0.0040420373 0.00970089 0.008245756 0.0030719482 0.0022635409 0.0038803557 0.0040420373 0.0025869037 0.0038803557 6.0988836 0.0 0.0 0.0 5.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 27.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.640372 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4287705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9271226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28653.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0