Input: 0.01012181 0.0040564025 0.0040004137 0.0039788177 0.0044935164 0.0038926348 0.0038464437 0.004065401 0.004053403 0.00381445 0.0038434444 0.0039900155 0.0038432444 0.003962821 0.0038474435 0.00412019 0.0038612408 0.003784456 0.003810451 0.0038308469 0.0038436444 0.0038770377 0.0038730386 0.0038480435 0.003835446 0.0038096511 0.0038338462 0.0038844363 0.0038580415 0.0038172496 0.0038510428 0.0038672397 0.0039784177 0.0037954538 0.0038676397 0.0037760576 0.003870839 0.0038436444 0.0038244482 0.003825048 0.0038538424 0.0038568417 0.0038272475 0.0038314466 0.0037824563 0.003824648 0.003871239 0.003773658 0.0039584218 0.003744664 0.0038646401 0.0038614408 0.003927828 0.0038718388 0.0038538424 0.0037764576 0.003850443 0.0038142502 0.003880637 0.0038450442 0.0038614408 0.0038362457 0.003927028 0.0039788177 0.0040779985 0.0039048323 0.0038654401 0.003876838 0.00386584 0.003956422 0.0038754381 0.0038386453 0.0037964536 0.0038488433 0.0038306469 0.003845244 0.003921829 0.003876238 0.0038374455 0.0038480435 0.003901033 0.003810251 0.0038432444 0.0038792375 0.0038310469 0.0039038325 0.0038848363 0.0039088316 0.0038366457 0.003834846 0.0038686395 0.0038018525 0.0037872554 0.0038988334 0.0038508428 0.0038574417 0.003839845 0.0038714388 0.0037986531 0.0039080316 0.0038576415 0.004014611 0.0038222487 0.00386664 0.0039442247 0.003901633 0.0038770377 0.0038824368 0.003936226 0.0039036325 0.003937626 0.003912631 0.003870839 0.0038218487 0.0039434247 0.0038790375 0.0039754184 0.003945024 0.0038290473 0.00396802 0.0038788375 0.0038598413 0.0038034522 0.003860041 0.0038824368 0.0038652401 0.003855642 0.0039652204 0.003997614 0.0038676397 0.003835846 0.003922429 0.0038930345 0.003957022 0.0038186493 0.0038014527 0.0039616213 0.0038984336 0.003891435 0.004005213 0.0038278475 0.003870839 0.0037920545 0.0038652401 0.0038680395 0.003789255 0.0038724386 0.0038986336 0.0038742383 0.0038390453 0.0038314466 0.0038514428 0.0038238482 0.0037856558 0.0039024327 0.003881437 0.0038450442 0.0039032325 0.0038466437 0.0038840363 0.0038434444 0.003799453 0.0038938345 0.0038316466 0.003810451 0.0038426446 0.0038794372 0.0038230484 0.0038130505 0.0038282473 0.0038472437 0.0038736383 0.003870639 0.0038800372 0.0038200489 0.0038940345 0.0038462437 0.00386664 0.003839445 0.0038320466 0.0038414448 0.0038626406 0.0038512428 0.0038624406 0.0038470437 0.0038784374 0.003856242 0.003971219 0.0038612408 0.0038714388 0.0039356262 0.00396842 0.0040012132 0.003890835 0.0038424446 0.0038370457 0.00386624 0.0038616408 0.0038576415 0.0039050323 0.0038136502 0.003793854 0.003881037 0.0038886354 0.004003813 0.00391703 0.0038544422 0.0038886354 0.0038318466 0.0038374455 0.003860241 0.0038304469 0.003790055 0.0037662596 0.0038412448 0.0038588413 0.003810651 0.0037856558 0.0038508428 0.0039156303 0.0038028525 0.0039258283 0.0039178296 0.0038830366 0.003885836 0.003855642 0.0038276475 0.0038592413 0.0038478435 0.0038826368 0.0038926348 0.0039032325 0.003937626 0.0038634404 0.0038426446 0.0039536227 0.0038986336 0.0038626406 0.003975618 0.0039182296 0.0039026327 0.0038822368 0.0038638404 0.0039026327 0.0038372455 0.0038590413 0.0038672397 0.003920629 0.0040314076 0.0039156303 0.0038772377 0.003943625 0.004002613 0.0039456245 0.004043405 0.005025012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039176518 8.101348e-06 1.2001997e-06 4.0006657e-07 4.0006657e-07 4.0006657e-07 1.0001664e-06 4.0006657e-07 2.0003328e-07 0.0 0.0 1.0001664e-07 3.5005826e-06 1.0001664e-07 0.0 2.1003495e-06 0.0013107181 1.4402396e-05 1.6602762e-05 1.3302213e-05 3.8006324e-06 5.4008988e-06 1.2902147e-05 6.0009984e-06 1.13018805e-05 5.4008988e-06 7.801298e-06 6.5010818e-06 6.2010317e-06 4.4007325e-06 8.0013314e-07 8.301381e-06 0.00017862972 9.0014976e-07 7.001165e-07 6.0009984e-07 9.601597e-06 6.0009984e-06 1.5002496e-06 1.5002496e-06 1.6002663e-06 3.0004992e-07 2.0003328e-07 5.000832e-07 7.001165e-07 1.0001664e-07 6.0009984e-07 1.400233e-06 0.0003462576 6.101015e-06 2.6004327e-06 8.301381e-06 2.3003827e-06 1.8002995e-06 8.901481e-06 1.8002995e-06 3.0004992e-06 2.6004327e-06 3.0004992e-06 1.5002496e-06 3.5005826e-06 5.000832e-06 8.901481e-06 4.1006824e-06 0.0001689281 3.2005325e-06 8.0013314e-07 1.1001831e-06 3.1005159e-06 2.0003329e-06 7.6012648e-06 4.9008154e-06 7.3012147e-06 6.0009984e-07 8.0013314e-07 9.0014976e-07 4.0006657e-07 1.3002164e-06 1.1001831e-06 8.0013314e-07 0.00015522583 2.500416e-06 1.700283e-06 1.5002496e-06 1.13018805e-05 6.9011485e-06 2.7004494e-06 2.7004494e-06 2.1003495e-06 2.3003827e-06 2.6004327e-06 1.5002496e-06 1.9003162e-06 8.0013314e-07 6.701115e-06 2.4003994e-06 0.0001346224 1.6002663e-06 7.6012648e-06 1.7802962e-05 7.3012147e-06 4.9008154e-06 1.24020635e-05 5.8009655e-06 2.9004827e-06 0.0 0.0 4.0006657e-07 1.700283e-06 0.0 1.2001997e-06 6.6010984e-06 0.0019817299 2.5004161e-05 0.00022733783 0.00034885804 0.0001610268 3.190531e-05 0.0003388564 0.0002289381 0.00015092512 6.801132e-06 9.001498e-06 1.610268e-05 2.2103679e-05 9.001498e-06 1.7402896e-05 0.00011201864 0.00012042004 1.6002663e-06 2.9004827e-06 4.1006824e-06 3.690614e-05 2.530421e-05 0.00013652272 6.37106e-05 7.101182e-06 1.1001831e-06 1.3002164e-06 1.9003162e-06 1.6002663e-06 2.1003495e-06 2.0003329e-06 1.1001831e-06 0.0007605266 2.140356e-05 5.7909638e-05 6.0810118e-05 0.000105817606 5.5509237e-05 0.00021773623 0.000114519054 2.3403894e-05 8.1713595e-05 2.3503912e-05 1.9203195e-05 2.6104344e-05 1.35022465e-05 1.6302713e-05 4.0706775e-05 0.00039836628 6.101015e-06 3.3005492e-06 5.300882e-06 1.1601931e-05 1.220203e-05 1.4802463e-05 1.6302713e-05 4.5707606e-05 4.5107507e-05 5.360892e-05 5.540922e-05 5.690947e-05 5.630937e-05 6.121019e-05 0.00018193027 0.00063660595 1.4202364e-05 2.060343e-05 2.1603595e-05 3.3505574e-05 2.6604426e-05 4.5107507e-05 6.55109e-05 8.641438e-05 7.791296e-05 0.00010431736 0.000114519054 0.00014402397 0.000100216675 9.031503e-05 0.0002620436 0.0009910649 9.411566e-05 5.6209352e-05 0.00010861807 0.00018443068 0.00015852638 0.00010961824 0.00015282544 0.00027834633 0.00016452737 0.00016062673 0.0001989331 0.00027024496 0.00018503079 0.00020333384 0.00057539577 0.0008589429 0.00018943152 9.471576e-05 0.0001640273 0.0002932488 0.0002729454 0.0001586264 0.00021733617 0.0004285713 9.411566e-05 5.8009653e-05 7.99133e-05 0.0002937489 7.721285e-05 0.0001677279 0.00044327375 0.061427422 0.061103467 0.060910534 0.06110187 0.061205186 0.061093867 0.061207384 0.061327104 0.061163176 0.061219085 0.061130874 0.061497733 0.061277095 0.06105976 0.061631855 0.06218435 23299.0 5.733637 133588.0 0.009746385 0.009723927 0.01071204 0.009941013 0.009731413 0.009955984 0.010465012 0.010135641 0.010188041 0.010165583 0.010180555 0.0100158695 0.009798785 0.010517412 0.010270383 0.009454442 0.01045004 0.009716442 0.00975387 0.010315298 0.010974039 0.010225469 0.009686499 0.009304728 0.0099934125 0.00980627 0.010150612 0.009918556 0.010232955 0.010203012 0.010674612 0.009903585 0.0100383265 0.010891696 0.009843699 0.01071204 0.010981525 0.010914154 0.009948499 0.010697069 0.010562326 0.010906668 0.010345241 0.009791299 0.010741983 0.010405126 0.01071204 0.010188041 0.00996347 0.009821242 0.010719526 0.011722609 0.01055484 0.011213582 0.010270383 0.010479983 0.009926042 0.010008384 0.009843699 0.010195526 0.010479983 0.010165583 0.010292841 0.009896099 0.009776327 0.011108782 0.010217983 0.01055484 0.010936611 0.013249693 0.010614726 0.010427583 0.010876725 0.011513011 0.010225469 0.0107794115 0.0116178095 0.010996496 0.011505525 0.011280953 0.010644669 0.010367698 0.0116327815 0.010891696 0.011932209 0.010719526 0.01060724 0.011962152 0.00996347 0.010143126 0.010195526 0.009768842 0.009708956 0.010195526 0.00964907 0.010390155 6.5824103 0.0 0.0 0.0 69.0 5000983.0 26599424.0 1.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1352446200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 2.0 10.0 10.0 6.0 2.0 6.0 1.0 24576.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -24576.0 -4608.0 26546688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2799506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3396153 -5.382769 7.9962754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24108.0 -4270.0 26546260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 3.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36864.0 26546260.0 45056.0 0.0 0.0 6488.0 26580992.0 2056.0 26595328.0 28.0 4128.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4880.0 0.0 0.0 660.0 37704.0 0.0 0.0 0.0 0.0


Input: 0.22180906 0.0038766318 0.001808387 0.0022616014 0.005586105 0.0019581546 0.0006856894 0.0017245619 0.009608034 0.0012065227 0.0013523784 0.0008036034 0.0076420554 0.0008868696 0.00079633854 0.005552575 0.004950711 0.0016290012 0.0005811874 0.00045209675 0.0023247497 0.0013685846 0.0007091604 0.00036212447 0.0016044126 0.00054933387 0.00040683118 0.00052921585 0.0027667873 0.00064768863 0.00044539073 0.00052139215 0.0054564555 0.00067898334 0.00072313123 0.00035821262 0.0027382867 0.0007024544 0.00060018775 0.0006169528 0.001525617 0.0008019269 0.00045489092 0.0005364807 0.0011998167 0.00042247854 0.000925988 0.00040739003 0.0047802664 0.0029411437 0.0018312992 0.00403087 0.0029964682 0.0018637115 0.0018855061 0.002050362 0.0025097237 0.002040303 0.0034966245 0.0055408394 0.0030322336 0.0020028611 0.0018396816 0.0022509836 0.004942328 0.0033457396 0.0018916533 0.0025063707 0.0046142926 0.018536525 0.0009449884 0.0009304587 0.008851373 0.003924133 0.0009807538 0.0049747406 0.0025566658 0.0077677933 0.0030618517 0.004080606 0.0064897398 0.0049054455 0.0068133045 0.0057263724 0.003908485 0.006491975 0.00466347 0.0038906026 0.0019212714 0.0016966201 0.0008399276 0.0036072738 0.0014764395 0.0033530043 0.003693893 0.010757555 0.0023918098 0.0063399724 0.003512272 0.002162129 0.0025309594 0.0060415547 0.0021185398 0.000670042 0.0046249107 0.0025756662 0.00234375 0.0026885506 0.0025482832 0.001053961 0.0023426323 0.0022107475 0.0020866864 0.00030065273 0.0035050071 0.0026661973 0.0057565495 0.0026516675 0.0008650751 0.0005755991 0.0013210836 0.0006873659 0.00034368294 0.00031127056 0.0008382511 0.0017083557 0.00025538716 0.00038615434 0.0018670645 0.0052463342 0.00038671316 0.0074224337 0.0009779596 0.006414297 0.0002609755 0.0005169215 0.0010589905 0.0052440986 0.0006253353 0.030025594 0.0008253979 0.005750961 0.00023135729 0.0002363868 0.0009885774 0.00037385998 0.0002397398 0.00035262428 0.0008812813 0.0009472237 0.00028500537 0.00022129828 0.0008851931 0.00025594598 0.00021738645 0.00024365165 0.00060633494 0.00028779954 0.00019894492 0.0003677128 0.0011277271 0.0013087894 0.0002347103 0.0003610068 0.0007516318 0.00031574123 0.0002296808 0.00023079847 0.0010422255 0.00035541845 0.00033250626 0.0027187276 0.00081198587 0.00031238823 0.00025203417 0.00041409602 0.001242847 0.0004135372 0.000393978 0.00037330115 0.0010114897 0.0004152137 0.0014009969 0.00036044797 0.0066713607 0.0029512027 0.0004347729 0.00045042025 0.0009813126 0.003401064 0.00038112482 0.0004347729 0.0051200376 0.0015703237 0.0020855686 0.0013322603 0.0057872855 0.0004364494 0.0007298373 0.0037257466 0.001943066 0.00091313483 0.00050406833 0.00031574123 0.17758293 0.0006337178 0.0002933879 0.0002721522 0.0014429095 0.00049177394 0.0006147174 0.00028109353 0.0014389977 0.0003151824 0.00026656385 0.00026768152 0.0010176369 0.00029618206 0.00027885818 0.00030903524 0.0010846969 0.0002956232 0.0002822112 0.00043141987 0.0024801055 0.0006381885 0.00046718525 0.0002933879 0.0010360783 0.0044662016 0.0003034469 0.00029618206 0.009730977 0.0068032457 0.00036324214 0.0035575374 0.009711418 0.0003822425 0.0010427843 0.0007264843 0.0017362974 0.0007929855 0.0011266094 0.004679676 0.0041325777 0.0010310488 0.0011059326 0.0012959362 0.006089056 0.00050406833 0.001191993 0.0014546451 0.002323632 0.0024337224 0.0027394046 0.040932916 0.008017489 0.0 0.0 5.593142e-07 0.0 2.2372567e-06 5.593142e-07 0.0 1.1186283e-06 0.0 0.0 1.1186283e-06 0.033210956 0.0 2.2372567e-06 8.3897123e-07 1.3982853e-06 8.3897123e-07 8.3897123e-07 8.3897123e-07 1.6779425e-06 5.593142e-07 5.593142e-07 2.796571e-07 3.355885e-06 2.796571e-07 5.593142e-07 8.3897123e-07 0.000553721 2.796571e-07 3.635542e-06 3.0762278e-06 0.0031785823 1.1186283e-05 1.4821825e-05 1.5940454e-05 4.4465476e-05 2.4609823e-05 5.0338273e-05 1.9016681e-05 2.5169136e-05 1.39828535e-05 3.635542e-06 4.4745134e-06 0.00052743324 2.4050509e-05 2.2652222e-05 2.880468e-05 0.00024833548 8.389712e-06 2.2372566e-05 4.4745134e-06 1.9855652e-05 1.0067654e-05 1.9575996e-06 2.5169136e-06 7.271084e-06 8.3897123e-07 6.71177e-06 8.389712e-06 0.0013535402 1.9575996e-06 1.7059081e-05 4.4745134e-06 0.004325456 2.852502e-05 0.00011354077 4.3906162e-05 8.333781e-05 0.00010431209 0.00021142075 8.613438e-05 3.1321593e-05 3.4677476e-05 6.460078e-05 2.964365e-05 0.0010165535 1.9296338e-05 2.3491195e-05 8.3897125e-05 0.06746839 3.3838507e-05 7.774467e-05 0.00011549837 0.023208741 0.018612856 0.00013507437 5.0058617e-05 4.4465476e-05 3.1041935e-05 2.3211536e-05 9.787997e-06 0.0004812898 2.880468e-05 3.943165e-05 0.00017814155 0.021282742 7.914295e-05 0.0017696699 0.00010039689 0.0005436533 0.00035488483 0.006030805 0.002768605 8.4456435e-05 0.00012304912 6.0405928e-05 7.243118e-05 0.00088231807 5.5092445e-05 0.00020610726 0.0005232384 0.015711414 0.00027182666 0.0007368964 0.00043934127 0.00077437045 0.00065523654 0.0028964083 0.00087644527 0.0002449796 0.00021477664 0.000108506945 0.0001420658 0.0021623084 0.000108506945 0.00044325646 0.0011323314 0.0080054635 0.000120811856 0.0013890567 0.00050282344 0.00092734286 0.0005316281 0.0055696503 0.0024002967 0.00013451505 5.6770386e-05 3.439782e-05 5.73297e-05 0.001419819 4.0550276e-05 0.0002586828 0.00031489387 0.0074296496 0.00017730259 0.0010873066 0.001098493 0.0015590882 0.0010417226 0.0047343145 0.0023287043 0.0004723408 0.00010403243 0.00018513299 0.00015576898 0.0027733592 7.327015e-05 0.00039627406 0.00043822263 0.010074926 0.0004709425 0.0009080465 0.002527261 0.00577352 0.003481451 0.007216271 0.0025820737 0.0011107979 0.00016304008 0.00028776712 0.00080764963 0.006395198 0.00015213345 0.0015786642 0.0011437974 0.028253755 0.0041783564 0.0031629214 0.027607188 0.011249206 0.0083343405 0.0043349643 0.0029646447 0.008087962 0.0022034182 0.002858375 0.005250282 0.026478771 0.002949543 0.0072487113 0.011194953 0.05948502 0.008642523 0.0053378143 0.008589387 0.01768831 0.024377149 0.007630443 0.0052586715 0.033707067 0.0024386097 0.0045494614 0.010145679 0.08609243 0.0030745498 0.021477943 0.036556493 0.03169605 0.0055450406 0.0031922855 0.003738176 0.01139267 0.012480256 0.007041765 0.004581622 0.022667324 0.0016404684 0.0022531971 0.004287143 0.0396825 0.0022713747 0.010301728 0.021649932 0.0018440587 0.0002900044 0.00034118164 0.00034481718 0.0006879564 0.00027658083 0.00032608016 0.00035264756 0.00052547565 0.00033055467 0.00036998632 0.00036075764 0.00038732504 0.000321326 0.00031433455 0.00037250321 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4256.0 23.596334 100426.0 0.031067653 0.00061737 0.00096588535 0.0005476669 0.010545078 0.0021408799 0.000926055 0.0050982814 0.005317348 0.00068707304 0.00058749726 0.00039830324 0.0053372635 0.0008862247 0.0071395854 0.0020612192 0.01605162 0.029663634 0.011003126 0.020562405 0.015912214 0.011939139 0.011042957 0.013054389 0.015673231 0.011222193 0.019128513 0.011331727 0.015533826 0.01078406 0.01173003 0.01869038 0.033557046 0.008035768 0.0042319717 0.006064167 0.024306454 0.0120287575 0.0018222373 0.0032461714 0.005685779 0.00926055 0.00073686097 0.0003584729 0.0064624697 0.005108239 0.0022205405 0.0017824069 0.008593393 0.0011749945 0.0029872742 0.0063330214 0.010604823 0.00827475 0.00950949 0.0019317707 0.015713062 0.00033855776 0.003515026 0.0031167227 0.0049290024 0.00058749726 0.003037062 0.009539362 0.0049787904 0.04388306 0.014219426 0.022942265 0.01992512 0.058052696 0.02625814 0.004769681 0.011082787 0.025142891 0.0008264792 0.0016828311 0.026288014 0.008941907 0.02432637 0.018550973 0.013850994 0.0005775397 0.037609782 0.022504132 0.045426484 0.008543604 0.004869257 0.0023898194 0.008155258 0.0032461714 0.0015334674 0.00039830324 0.004680063 0.00039830324 0.00058749726 0.00061737 5.875148 2.0 0.0 0.0 4.0 1789440.0 2379776.0 1.0 0.0 227.0 1.0 1.0 0.0 0.0 0.0 1498876400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1196544.0 1024.0 4096.0 9.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -98816.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 437248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1197056.0 -11776.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.123772 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 3.8804352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5803685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.06734 -5.0556417 2.8128777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98745.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 437069.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43772.0 0.0 0.0 0.0 0.0 0.0 0.0 563857.0 0.0 -1196669.0 -11766.0 1084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 -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 1.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2254228.0 1084.0 2273280.0 0.0 0.0 0.0 0.0 86928.0 2277376.0 56.0 2151712.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2151768.0 0.0 0.0 1428.0 2252800.0 0.0 0.0 0.0 0.0


Input: 0.10269984 0.00713764 0.005388958 0.006534235 0.006345671 0.0035787444 0.0036243966 0.003552941 0.007806545 0.0027808212 0.0030070979 0.0037037919 0.0072130654 0.003191692 0.0026736376 0.009195964 0.005363154 0.0023699505 0.0023997237 0.0023401773 0.0035708048 0.003036871 0.0027371538 0.0023838447 0.0034675908 0.0023679656 0.0021655075 0.002429497 0.002905869 0.0021158855 0.0021516134 0.0026081365 0.004446138 0.0021436738 0.0021972656 0.0029495363 0.003600578 0.0022984946 0.0020801576 0.0023719354 0.0027947153 0.0020642783 0.0021714622 0.0036502 0.0024354516 0.0031202363 0.0022826155 0.0022449028 0.0031976467 0.0023917842 0.0021516134 0.007439342 0.0025644691 0.0022846004 0.0022528423 0.0023659808 0.002768912 0.002784791 0.0022846004 0.003912205 0.0026557737 0.0025227864 0.0022052051 0.0025803482 0.004277423 0.003957857 0.004978087 0.0068180733 0.003481485 0.008308721 0.0050554974 0.004229786 0.0029415968 0.002618061 0.002346132 0.0022290237 0.0027967002 0.0051904693 0.002733184 0.0025704238 0.005994347 0.003003128 0.002530726 0.0036442454 0.002701426 0.0047418857 0.0043945312 0.0039300686 0.0027391387 0.004025343 0.00229254 0.0028939596 0.002393769 0.0044441535 0.0034358327 0.0034953791 0.0032214653 0.003652185 0.0023858296 0.0029316724 0.003431863 0.004743871 0.004483851 0.0027093654 0.003701807 0.0034020897 0.0050455728 0.0023044492 0.0032214653 0.002888005 0.0037037919 0.0039677816 0.0032651327 0.002598212 0.0041325265 0.0044917907 0.007963351 0.008296811 0.002768912 0.0026557737 0.0029078538 0.0027431084 0.0024672097 0.002173447 0.0025962272 0.0036402757 0.0028185342 0.0028800655 0.0061134403 0.0031996316 0.00212581 0.0085469065 0.0033326189 0.00933292 0.0021595529 0.0022806306 0.0028820504 0.008991521 0.0025049224 0.020878986 0.0022984946 0.007357962 0.0022190993 0.0023163585 0.0023540715 0.0019809133 0.0019650343 0.0022607818 0.0022865853 0.0026915015 0.0019094576 0.002038475 0.0025386654 0.0021694773 0.002018626 0.0021337494 0.0022647516 0.0022885702 0.001937246 0.0024672097 0.0027649421 0.002749063 0.002002747 0.0024433911 0.0022826155 0.0021357343 0.0020622935 0.0018459413 0.002479119 0.002191311 0.0021139006 0.0022310086 0.002175432 0.0019332762 0.0020583237 0.0022131447 0.002510877 0.0021992505 0.001970989 0.0020503842 0.0024056784 0.0024930132 0.004267499 0.002683562 0.002888005 0.0024017086 0.0024672097 0.0021833715 0.0023183434 0.0022369632 0.0023659808 0.0023322378 0.007878001 0.007828379 0.003959842 0.00492251 0.0037752476 0.0023024643 0.003953887 0.0049324348 0.0047518103 0.004279408 0.0028125795 0.0026260004 0.007806545 0.0021952807 0.002735169 0.0028800655 0.0033941502 0.002836398 0.0025327108 0.0024533155 0.0026021819 0.0021218401 0.0024433911 0.0020722179 0.0031341305 0.0023143736 0.0023401773 0.0025962272 0.0028244888 0.0021674924 0.002209175 0.0022449028 0.0043191058 0.0028105946 0.0021595529 0.0023739203 0.0034695757 0.0029177782 0.0022687213 0.0021317645 0.010144738 0.0037812022 0.0024394214 0.00432903 0.004737916 0.0022647516 0.0026915015 0.0028264737 0.0049840417 0.0025743935 0.002330253 0.0030329013 0.0037633383 0.0027093654 0.004104738 0.0029991583 0.005162681 0.0030348862 0.0029177782 0.0038645675 0.004567216 0.0038923558 0.0048292205 0.034886304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001723404 4.3756365e-05 3.778959e-05 4.972314e-06 4.3756365e-05 1.2928017e-05 1.9889256e-05 2.486157e-05 1.8894794e-05 7.955703e-06 1.6905868e-05 6.9612397e-06 3.9778515e-06 1.0939091e-05 1.6905868e-05 4.27619e-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 0.007565873 1.5911406e-05 0.00028242744 4.972314e-05 0.00019889257 8.452934e-05 0.0011565603 0.00057579397 0.00011933554 3.3811735e-05 1.7900331e-05 5.966777e-06 0.00084231 6.9612397e-06 4.8728678e-05 0.0012152336 0.014399822 0.00024861572 0.0011883831 0.0001899424 0.0012788792 0.0004087242 0.0029664827 0.0015951184 0.00010242967 0.00013823033 6.96124e-05 7.1601324e-05 0.00017999778 0.00014021926 8.452934e-05 0.001377331 0.011858969 0.00033911184 0.0005201041 0.000348062 0.001271918 0.0005161262 0.0015702568 0.000896011 0.00050518714 0.0001233134 0.00014618604 0.00012828571 0.0003689457 0.00019292579 0.00024961017 0.0013315857 0.009469275 0.0006444119 0.00036297893 0.00028342192 0.0014519157 0.00044850275 0.0018526843 0.0011883831 0.0007816478 0.00023071538 0.00019392025 0.00027447173 0.00040574084 0.0003828682 0.000668279 0.001727382 0.008570281 0.00037292356 0.0008094927 0.00073391356 0.0017442878 0.0008462879 0.0044154148 0.0027437229 0.00018795347 0.0002436434 0.00028938867 0.00032320042 0.00032717828 0.00032021702 0.00050419266 0.0020078204 0.00949712 0.00073490804 0.00083932665 0.00070507417 0.0012570011 0.0008482768 0.0014499268 0.0013753421 0.00069910736 0.00060861127 0.00067026797 0.00084231 0.0009159003 0.00062054483 0.001216228 0.004196633 0.008424095 0.0005857386 0.0010193244 0.0020147816 0.002144062 0.00168462 0.0010103743 0.0017641771 0.005529213 0.00086717156 0.00096264004 0.0012570011 0.0061925203 0.0018556677 0.0026999665 0.008831824 0.058630545 0.009111268 0.0062064426 0.008844753 0.019017113 0.016183889 0.008454923 0.012622717 0.036835898 0.0027944406 0.002937643 0.005704239 0.024233071 0.004565579 0.015141691 0.029408256 0.016618468 0.003078857 0.0022146688 0.003265816 0.00600755 0.0056773885 0.0030589676 0.005554075 0.011930571 0.0011167817 0.0011476101 0.0015135724 0.006688757 0.0025368747 0.0053710938 0.009758663 0.03123906 0.029292896 0.029370464 0.029921398 0.030059628 0.02996217 0.029627036 0.029938303 0.029988026 0.029194444 0.029284941 0.029704604 0.02960118 0.029718528 0.029763278 0.029912448 1955.0 9.2491045 18082.0 0.02400177 0.0049773254 0.005917487 0.0050326292 0.0059727905 0.0046455036 0.0035394314 0.0063599157 0.004313682 0.0045348965 0.0047008074 0.0051432364 0.0050326292 0.0053091473 0.0068576485 0.0055856653 0.0072447737 0.0057515763 0.0050879326 0.0051432364 0.0055303616 0.0053091473 0.004756111 0.0058621834 0.00519854 0.005640969 0.0055303616 0.0059727905 0.005640969 0.0048667183 0.005475058 0.0064705233 0.009291007 0.01039708 0.0065258266 0.010175865 0.009678133 0.0070235594 0.010120562 0.011779671 0.0070788627 0.009069793 0.0046455036 0.0045902003 0.008184935 0.0065811304 0.0070235594 0.0057515763 0.017033514 0.0080190245 0.0066364342 0.013106957 0.009401615 0.0064705233 0.010784205 0.0112266345 0.0076872027 0.0052538435 0.0073553813 0.0047008074 0.0080190245 0.0045902003 0.0055856653 0.011060723 0.0071894703 0.027319986 0.008848579 0.021679018 0.018471409 0.053257383 0.009954651 0.011558456 0.010231169 0.024167681 0.010009955 0.0065811304 0.02156841 0.022232054 0.028536666 0.040758766 0.016867602 0.014378941 0.03334808 0.03943148 0.03915496 0.016425174 0.008572061 0.0067470414 0.0076872027 0.010562991 0.005475058 0.0041477713 0.0050326292 0.0038159497 0.0033735207 0.0063599157 6.195963 0.0 2.0 0.0 6.0 503808.0 536576.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1261616900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 181248.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8095636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.946838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6598916 0.0 6.987507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -247712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181132.0 0.0 56632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 225860.0 56632.0 479232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 217240.0 0.0 0.0 420.0 188416.0 96.0 225148.0 0.0 0.0


Input: 0.5492188 0.00515625 0.003046875 0.00328125 0.008828125 0.002890625 0.001640625 0.001171875 0.005546875 0.00296875 0.0028125 0.0015625 0.005 0.00328125 0.001640625 0.00140625 0.004375 0.000703125 0.00078125 0.000546875 0.001875 0.00359375 0.00046875 0.000390625 0.000625 0.00046875 0.000234375 0.0 0.0009375 0.002109375 0.000390625 0.000390625 0.009765625 0.000546875 0.000625 0.000234375 0.007578125 0.003359375 0.0003125 0.00015625 0.001015625 0.00015625 0.0003125 0.00015625 0.000234375 0.00078125 0.00203125 7.8125e-05 0.00359375 0.005546875 0.00375 0.003203125 0.014765625 0.007890625 0.000234375 7.8125e-05 0.00078125 0.000625 0.000234375 0.000234375 0.00046875 0.0003125 0.000625 0.00078125 0.027109375 0.002578125 0.00125 0.001875 0.00265625 0.003984375 0.0015625 0.002265625 0.002578125 0.000390625 0.000234375 0.000390625 0.002109375 0.00078125 0.00078125 0.0003125 0.007734375 0.003359375 0.0015625 0.00328125 0.002109375 0.001796875 0.00171875 0.001640625 0.000546875 0.000390625 0.00171875 0.001328125 0.001328125 0.00171875 0.001171875 0.00125 0.000625 0.004609375 0.001015625 0.0025 0.00375 0.00953125 0.000625 0.000234375 0.01078125 0.00328125 0.0025 0.000546875 0.00578125 0.0021875 0.0021875 0.00265625 0.0028125 7.8125e-05 0.0028125 0.0025 0.009921875 0.00390625 0.000546875 0.00046875 0.0015625 0.00046875 0.00015625 0.00015625 0.000859375 0.000859375 0.0 0.00015625 0.001484375 0.0003125 0.0 0.00734375 0.000703125 0.0009375 0.00015625 0.0 0.000703125 0.009375 0.0003125 0.011015625 0.00078125 0.003046875 7.8125e-05 0.00046875 0.006171875 7.8125e-05 0.000234375 0.000234375 0.000703125 0.00015625 0.00015625 0.000859375 0.001015625 0.000625 0.0 0.0 0.000625 7.8125e-05 0.00015625 0.0 0.0009375 0.001796875 0.00015625 0.00171875 0.00078125 0.0 0.00015625 0.000234375 0.000625 0.000234375 0.0003125 7.8125e-05 0.0003125 0.0 0.000234375 0.000234375 0.000234375 7.8125e-05 0.0 0.0 0.000703125 0.0 0.00015625 0.0 0.00125 0.00015625 0.00140625 0.0 0.000625 7.8125e-05 0.0003125 0.00015625 0.00328125 0.00015625 0.002265625 0.002578125 0.002734375 7.8125e-05 0.001328125 0.002890625 0.0009375 0.000546875 0.000234375 7.8125e-05 0.0078125 0.0003125 0.0003125 0.0 0.00109375 0.00015625 0.0003125 7.8125e-05 0.000625 0.0 0.0 0.00015625 0.003359375 7.8125e-05 0.00046875 0.00078125 0.000546875 7.8125e-05 0.000234375 7.8125e-05 0.000625 7.8125e-05 0.00015625 0.0 0.00046875 0.00109375 0.000546875 0.0 0.0153125 0.000390625 0.000234375 0.002734375 0.00171875 7.8125e-05 0.00015625 7.8125e-05 0.000234375 7.8125e-05 0.000390625 0.0003125 0.00078125 7.8125e-05 0.001015625 0.00015625 0.00140625 0.0003125 0.0003125 0.000703125 0.00234375 0.0003125 0.000625 0.021484375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.15966797 0.00017755682 0.004572088 0.0009321733 0.001953125 0.0026633523 0.0059481533 0.0027965198 0.00048828125 0.00026633524 0.00017755682 0.00022194603 0.0010209517 0.00017755682 0.00026633524 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06778231 0.0019975142 0.0019087358 0.00062144885 0.005060369 0.0018199574 0.0052379263 0.0011541193 0.00044389206 0.0009321733 0.00013316762 0.00031072443 0.0010209517 0.00013316762 0.00044389206 0.0019087358 0.061789773 0.0011541193 0.004749645 0.0011985085 0.0024857954 0.002175071 0.0033735796 0.002175071 0.0036399148 0.00013316762 4.4389206e-05 0.00017755682 0.0049272017 0.00031072443 0.0011541193 0.0014204546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05792791 0.0024414062 0.0011097301 0.005859375 0.004616477 0.0011985085 0.0037286931 0.0011985085 0.0024414062 0.0007990057 0.0019975142 0.0007990057 0.0013316761 0.00062144885 0.0028409092 0.0019975142 0.045099434 0.0014648438 0.0011097301 0.005193537 0.0052823154 0.0030628552 0.012650923 0.005459872 0.0034179688 0.00026633524 0.00026633524 0.00026633524 0.0040838066 0.00044389206 0.0011541193 0.0016867898 0.04407848 0.0027521306 0.0046608667 0.0066139917 0.005859375 0.0024414062 0.0017755682 0.001953125 0.005415483 0.0008433949 0.00039950284 0.0011097301 0.0022194602 0.0015980114 0.0053267046 0.0038618608 0.110928625 0.0068803267 0.0085227275 0.022238992 0.019664418 0.012118253 0.016113281 0.009810015 0.01673473 0.00501598 0.004128196 0.002352628 0.008567116 0.0039950283 0.011851918 0.013805043 0.03014027 0.001953125 0.0029296875 0.0055042612 0.006569602 0.0074573862 0.0016424005 0.0031960227 0.008700284 0.0032404119 0.0015536222 0.00039950284 0.00501598 0.0015980114 0.003506747 0.0075017754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 12.1204815 1006.0 0.105367795 0.0019880715 0.0019880715 0.0 0.0009940357 0.0019880715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020874752 0.0 0.0 0.0019880715 0.005964215 0.004970179 0.0019880715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009940357 0.0029821075 0.028827038 0.0029821075 0.010934394 0.0069582504 0.012922465 0.012922465 0.01192843 0.01192843 0.0019880715 0.0 0.0019880715 0.010934394 0.0019880715 0.004970179 0.0019880715 0.013916501 0.0019880715 0.0069582504 0.014910537 0.0069582504 0.0 0.0009940357 0.0029821075 0.0009940357 0.0 0.0 0.0009940357 0.0 0.0019880715 0.0009940357 0.0069582504 0.0029821075 0.05666004 0.0069582504 0.03081511 0.03777336 0.11431412 0.004970179 0.0029821075 0.02584493 0.041749503 0.0009940357 0.004970179 0.06858847 0.026838966 0.022862824 0.031809144 0.020874752 0.0 0.034791254 0.031809144 0.06262425 0.010934394 0.003976143 0.0029821075 0.009940358 0.0029821075 0.0019880715 0.0 0.0 0.0 0.0 0.0 4.947628 0.0 0.0 0.0 2.0 12800.0 24576.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 1322745100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 67.0 1.0 0.0 3.0 10.0 0.0 4096.0 0.0 3.0 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 -512.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.423285 0.0 0.0 0.0 0.0 -4.2152133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.786168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -393.0 0.0 0.0 0.0 0.0 -10444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 564.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.320007 0.010763502 0.0062468997 0.008107019 0.012159237 0.0031111783 0.0025021185 0.0033340051 0.011617994 0.0016527933 0.002737217 0.0021145937 0.003989568 0.005883918 0.0022541026 0.0034799727 0.0038765399 0.0015688295 0.0015126385 0.0039282097 0.0025686435 0.0010514839 0.001066985 0.000963645 0.0030265688 0.002597708 0.001793594 0.0024885552 0.0031932043 0.00095201924 0.0018543062 0.001335023 0.009518255 0.0022637907 0.0014254454 0.002246998 0.0034644718 0.0026300016 0.0013395441 0.0026422732 0.010961139 0.002190807 0.0022411852 0.0010224197 0.0024084665 0.0010986328 0.0015630167 0.00173159 0.0025001809 0.0015746425 0.0012549345 0.0018807871 0.0024052372 0.0015145761 0.0015584956 0.0010043351 0.0022269757 0.00085061695 0.0020751953 0.0015074714 0.0024685329 0.0017806764 0.0012039103 0.0010779648 0.007772456 0.0031156994 0.003148639 0.004384843 0.0035135583 0.0016547309 0.0021707849 0.0012400794 0.0021630342 0.0014913246 0.0014796988 0.0016411676 0.0031835162 0.0015339523 0.0015158679 0.002529245 0.0036059183 0.0017606544 0.0019382699 0.0019589378 0.0034179688 0.0014254454 0.0016308335 0.00114449 0.0033572565 0.0011264054 0.0009300595 0.0009455605 0.0024401145 0.0010288784 0.0015791636 0.0011425522 0.0028315145 0.004688404 0.0017089844 0.0026616496 0.0043719257 0.005221897 0.002432364 0.0013182302 0.004271815 0.0045734383 0.0012239325 0.0022308512 0.0077227233 0.002153346 0.0034160311 0.0039772964 0.0055345 0.0016308335 0.003989568 0.0029761905 0.0073151765 0.0018730365 0.0021107185 0.0013175843 0.0043570707 0.001019836 0.0019498956 0.0009255384 0.0011289889 0.0006781684 0.0006736473 0.0014499887 0.0027791988 0.0011063833 0.00094039354 0.0008867859 0.0011800131 0.0008951823 0.00079377997 0.00090939156 0.0015507451 0.0010023975 0.0013815259 0.0010204819 0.001164512 0.00084286643 0.00086611795 0.0010082104 0.001448051 0.0009778542 0.0009965847 0.0009261843 0.0014648438 0.0008364077 0.0010178984 0.0008693473 0.0012465381 0.0011005704 0.0008919529 0.000973979 0.0015055338 0.0011961599 0.0010463169 0.0011580533 0.0016095197 0.0014319042 0.0013246889 0.0011096126 0.001844618 0.0014616144 0.0013705461 0.0020370886 0.008138667 0.0013737754 0.0013033751 0.0011709707 0.001834284 0.0009927094 0.0010624639 0.00087322254 0.001355045 0.0010036892 0.0016986504 0.0009074539 0.0013989646 0.0013233972 0.0014900329 0.001247184 0.0022030785 0.0010799024 0.0021791812 0.0011457817 0.0014700107 0.0007517981 0.0017025257 0.0010521298 0.003194496 0.0009952929 0.0009862506 0.0018646402 0.0019059761 0.0010650473 0.0014803448 0.0015991856 0.0012116609 0.0011018622 0.0010560051 0.00091197505 0.0015959563 0.00085965917 0.0009785001 0.0009113292 0.0014235078 0.00089259876 0.001247184 0.0010786107 0.0018691613 0.0011244678 0.0008777437 0.0008867859 0.0015023045 0.0011160715 0.0013279184 0.0011703249 0.0014596768 0.0010889447 0.0013963811 0.0011858259 0.002061632 0.0012710814 0.0012839988 0.0012568721 0.002102322 0.0010792565 0.0009455605 0.0012898117 0.0020784247 0.0012090774 0.0012194114 0.0012898117 0.0016676484 0.0011193008 0.0011354476 0.0015068256 0.0024284888 0.0011367394 0.0013156467 0.001546224 0.0037350932 0.0034276568 0.0014099444 0.001798761 0.0033947174 0.0027456132 0.002674567 0.0038216405 0.0057644313 0.006142914 0.015485491 0.11727986 0.0013636975 3.8778126e-06 0.0013145785 1.9389063e-06 0.0 1.9389063e-06 1.9389063e-06 7.755625e-06 4.8472657e-06 1.9389063e-06 6.7861724e-06 1.9389063e-06 0.0 9.24212e-05 3.1668802e-05 0.021651767 0.00066730694 6.7861724e-06 6.4630212e-06 4.8472657e-06 6.7861724e-06 6.4630212e-06 1.841961e-05 8.725078e-06 1.7127006e-05 1.7450157e-05 2.1974272e-05 2.3913179e-05 3.7808673e-05 0.0012496251 0.0002278215 0.02679827 0.00060849346 8.725078e-06 1.1633438e-05 2.5852084e-06 8.4019275e-06 6.7861724e-06 1.6803855e-05 7.109323e-06 1.06639845e-05 8.4019275e-06 1.0017683e-05 2.3266875e-05 2.6821537e-05 0.00011019451 5.5581982e-05 0.0030553932 0.0011226268 5.428938e-05 5.816719e-06 1.1956589e-05 8.6927634e-05 3.7808673e-05 1.2602892e-05 1.3572345e-05 2.3590028e-05 1.1633438e-05 1.6480704e-05 2.0358517e-05 1.4541798e-05 8.4665575e-05 2.9406747e-05 0.001762789 0.0049532596 0.00020132311 0.00060913974 5.9136644e-05 0.00036548384 0.00016609965 0.00010276204 7.012378e-05 4.4594846e-05 2.2620574e-05 3.619292e-05 5.0088413e-05 4.1686486e-05 6.430706e-05 7.561735e-05 0.0017411379 0.0053313463 0.0002614292 0.0006055851 9.371381e-05 0.00040975554 0.0001564051 0.00014283277 8.401927e-05 3.586977e-05 2.5852085e-05 5.5905133e-05 7.2062685e-05 5.5905133e-05 6.0106096e-05 6.2045e-05 0.0011507409 0.022691991 0.00129422 0.000590397 0.00030860925 0.0014276814 0.00040490826 0.0005684227 0.0005328761 0.0002727395 0.00013830865 0.00012053535 0.00013766235 0.00055388093 0.00016771539 0.00022168162 0.0023354127 0.021377413 0.0008246815 0.0012596428 0.00045079572 0.0015078229 0.0007012378 0.002137321 0.001414109 0.0006559967 0.00025981345 0.00037259317 0.0003347845 0.00043399187 0.00026886168 0.00036419125 0.00403648 0.035398938 0.0016215721 0.004081721 0.000952003 0.0034745203 0.0019227488 0.0060820263 0.0033992259 0.00053190667 0.000539016 0.0017527713 0.0005587282 0.00060170726 0.0004456253 0.0005813488 0.009531987 0.05216466 0.0033090669 0.009949498 0.0028970493 0.0051759104 0.0028844464 0.007242785 0.0047719716 0.0013410769 0.0015844096 0.0072314744 0.0020743066 0.0015730994 0.0011290899 0.0018474546 0.02784819 0.0888617 0.008384477 0.011855766 0.0058047622 0.00840936 0.0059456564 0.012934768 0.008948053 0.002521871 0.002171252 0.004605872 0.002991086 0.002682477 0.0018206331 0.0029981956 0.030917155 0.09911172 0.00910058 0.009585953 0.0074945195 0.00976304 0.0076341205 0.0129363835 0.009050814 0.004072996 0.003916591 0.004254284 0.0050863978 0.0051545827 0.004568063 0.00600964 0.029262299 0.04399669 0.0029300107 0.003016615 0.0030434367 0.00497071 0.0035430281 0.0058283526 0.0044979397 0.002791702 0.0030670266 0.0036244623 0.0042794896 0.0041305167 0.003795409 0.004053284 0.0069978363 0.01630685 0.00147163 0.001452564 0.0015049145 0.002459826 0.0017456621 0.0024223404 0.0018115848 0.0014541798 0.0015727762 0.0024003661 0.0020264804 0.0019612038 0.0015191331 0.0016616427 0.0025703434 0.0009271204 0.0001531736 0.00018516555 0.00013507715 0.00022071217 0.00016157553 0.00020649353 0.00021424916 0.0002462411 0.00012796783 0.00020099996 0.00016868486 0.00023686973 0.00021295655 0.00019744529 0.00037614783 0.0050498815 0.0041421503 0.0042190603 0.004117591 0.004252345 0.004107573 0.0041531376 0.004099171 0.004291446 0.004175758 0.0042303703 0.0041515217 0.004208073 0.004049406 0.0040917387 0.00416574 5859.0 11.521932 67507.0 0.09707142 0.0035700002 0.0020442326 0.0022368052 0.0015702075 0.0027848964 0.0048291287 0.0027848964 0.0024738174 0.0035551868 0.0021923652 0.0022516183 0.0031107885 0.0041180914 0.008354689 0.0049624485 0.0052439007 0.0071992534 0.0044143572 0.0038514524 0.0049624485 0.0049180086 0.0040292116 0.0030070955 0.0042662243 0.0033181745 0.0062956433 0.010458175 0.0049328217 0.0032737346 0.0035848133 0.0015553943 0.001436888 0.011732116 0.006443776 0.01269498 0.011124772 0.008680581 0.011983942 0.0045921165 0.0019109129 0.0072585065 0.005880872 0.00817693 0.009821204 0.0092434855 0.006532656 0.015183611 0.008443569 0.006014191 0.0052883406 0.015020665 0.012724606 0.0022368052 0.0053327805 0.0040143984 0.0024886308 0.0067104152 0.0026663903 0.0015257677 0.0034218673 0.003081162 0.0031552284 0.003036722 0.0018812864 0.042262282 0.015435437 0.02073859 0.02304946 0.05340187 0.012354274 0.010087843 0.0069474275 0.044513904 0.008887967 0.0042365976 0.029389545 0.021345934 0.02778971 0.038647845 0.018442532 0.0050217016 0.035433363 0.025641786 0.04405469 0.012754233 0.018960997 0.0068289214 0.008384315 0.0041329046 0.010013776 0.0038070127 0.0010073029 0.0009628631 0.0009480498 0.0015553943 5.793883 16.0 13.0 0.0 3.0 1548288.0 1667072.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1492517900.0 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 4.0 6.0 0.0 4.0 0.0 4.0 0.0 1466368.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1466368.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.468319 0.0 7.9287567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -115440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1465204.0 0.0 77824.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1468564.0 3492.0 1589248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 396.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0263015 0.0055703474 0.0040025925 0.004107693 0.0048784334 0.0045412346 0.0041514854 0.0073132706 0.005876892 0.0056272773 0.0041952776 0.004444892 0.005128048 0.004869675 0.004396721 0.009555424 0.0060301637 0.0059075463 0.0036128433 0.003608464 0.004055143 0.0036566353 0.003004134 0.0049922927 0.0046726107 0.0047733323 0.0031267516 0.003433296 0.0038186659 0.0042784824 0.00330192 0.007816879 0.0047952286 0.0045543723 0.0038493203 0.0030128923 0.0040682806 0.0037573571 0.003477088 0.002920929 0.0046638525 0.003691669 0.0033457119 0.003647877 0.003735461 0.004370446 0.0041120728 0.005053601 0.005671069 0.0052112527 0.0032449903 0.0039806967 0.0036347394 0.005184978 0.0029778588 0.0038099075 0.0052462863 0.0044930633 0.0031267516 0.0040113507 0.003538397 0.0042872406 0.0025224215 0.0069235214 0.0039325254 0.0058681336 0.003389504 0.003801149 0.0040770387 0.0054608677 0.0029997549 0.003433296 0.003477088 0.003844941 0.0031705438 0.003196819 0.0035997056 0.0046113017 0.003498984 0.0034070208 0.0055922437 0.006008268 0.0046156812 0.004243449 0.0047733323 0.004449271 0.0037923907 0.0045543723 0.003262507 0.004190898 0.002855241 0.002833345 0.0055265557 0.00423469 0.0030128923 0.0056885863 0.0042127944 0.0041558645 0.0031836813 0.0035559137 0.004436134 0.0047514364 0.0029077914 0.0032449903 0.00379677 0.0037048066 0.0034026415 0.0031486477 0.004808366 0.0047558155 0.0034858463 0.004098935 0.0063805003 0.003801149 0.0033150574 0.003564672 0.0047996077 0.005517797 0.0032931615 0.0038099075 0.0031267516 0.003844941 0.0028815162 0.0035909472 0.0036303601 0.004317895 0.0034595712 0.009327705 0.0034070208 0.0037398404 0.0034070208 0.0067702495 0.004655094 0.0035296385 0.0030829597 0.0026275225 0.0028464827 0.0034639505 0.003196819 0.0049703964 0.003196819 0.0033851247 0.0019925379 0.0022071188 0.0026932105 0.0026669353 0.002185223 0.0025268006 0.002960342 0.002789553 0.002058226 0.0023341158 0.003174923 0.0029165498 0.0027764153 0.0023122197 0.0031486477 0.0034946047 0.0021107763 0.003065443 0.002767657 0.0025793512 0.002316599 0.0021063972 0.0024961464 0.002789553 0.0017998528 0.002014434 0.0024786296 0.0024654919 0.0019925379 0.0023297365 0.0025180422 0.0026888312 0.0043266537 0.00264066 0.0025399383 0.0032362319 0.0022815652 0.0026537976 0.0023735287 0.0028245866 0.0023297365 0.0024348374 0.004589406 0.0029997549 0.002557455 0.0024348374 0.0027107273 0.0030435468 0.0037617362 0.0055659683 0.0031880606 0.0061046104 0.002618764 0.0027983114 0.0025793512 0.002964721 0.0022815652 0.0023472533 0.0027370024 0.0026012473 0.0019093329 0.0024611126 0.0023910454 0.0022246356 0.001975021 0.0023779077 0.0027851737 0.0028026905 0.0025355592 0.0022903236 0.0029909965 0.002553076 0.0023866661 0.0036303601 0.0037179443 0.0037836323 0.0030172716 0.0032537486 0.0028158282 0.0026888312 0.0020231924 0.0027632779 0.0055484516 0.0041514854 0.0032055774 0.0022596694 0.0022990822 0.0024304583 0.0020363298 0.0030785804 0.00253118 0.0028815162 0.002167706 0.004374825 0.0020932595 0.0024217 0.00264066 0.002360391 0.005184978 0.003669773 0.0024523542 0.0025399383 0.0028202075 0.004549993 0.003157406 0.0021063972 0.00687535 0.003131131 0.005259424 0.0031661645 0.006262262 0.005859375 0.010032756 0.04082732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003277203 5.718609e-05 6.158502e-05 0.00010777379 0.00021774705 0.00018695454 0.00017155828 0.0001385663 7.0382885e-05 1.7595721e-05 3.5191442e-05 5.938556e-05 1.3196791e-05 2.199465e-05 2.199465e-05 4.618877e-05 0.0057801944 0.00030352618 0.00032112192 0.00023754223 0.00014956362 0.00016276042 0.00048168286 0.00039810318 0.00024194116 5.4986627e-05 6.598395e-05 0.00012317004 0.00011437218 9.4577e-05 0.00011437218 0.0003651112 0.0025381828 0.00044869087 0.00030572564 8.577914e-05 1.3196791e-05 1.7595721e-05 0.0001451647 9.897593e-05 4.618877e-05 1.9795185e-05 9.6776464e-05 0.00025293848 3.5191442e-05 1.0997325e-05 4.1789837e-05 0.00034751548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037390906 0.00057186093 0.00048168286 0.00024194116 0.00035411387 0.00043989302 0.0005828582 0.0005102759 0.00035631334 8.577914e-05 0.00022874436 0.00052347267 5.4986627e-05 4.8388232e-05 7.918074e-05 0.00071042724 0.0012800887 0.00038050747 0.0005520657 0.0002903294 3.959037e-05 3.5191442e-05 0.00037390908 6.598395e-05 0.0003343187 4.8388232e-05 0.00017815667 0.00021994651 1.7595721e-05 1.7595721e-05 2.199465e-05 0.0006488422 0.00074781815 0.00011877112 6.3784486e-05 5.4986627e-05 0.0001957524 0.0005982545 0.00034751548 0.000662039 0.00029252886 0.00016495989 0.00014736416 0.0002463401 4.618877e-05 3.7390906e-05 8.577914e-05 0.00069503096 0.0048630172 0.0011239267 0.0011921101 0.0008225999 0.00094577 0.001825556 0.0014010592 0.001546224 0.0015396256 0.0009699641 0.0006884326 0.0010051555 0.0005102759 0.0005806588 0.0008006053 0.0027075415 0.080869935 0.06728163 0.060133375 0.066133514 0.059972815 0.06654921 0.058004294 0.06521634 0.053796716 0.041998785 0.03898772 0.046021607 0.042913765 0.045372766 0.045462944 0.10272602 1555.0 6.118328 9514.0 0.016081564 0.011456801 0.0062013874 0.00725247 0.0077780113 0.008408661 0.007147362 0.009459743 0.012402775 0.011141475 0.009985285 0.008093337 0.010195501 0.010300609 0.010300609 0.011246584 0.012823208 0.013243641 0.0067269285 0.010931259 0.011246584 0.012823208 0.007147362 0.009144419 0.011246584 0.010405718 0.008198445 0.0070422534 0.010721043 0.010615935 0.007672903 0.011667017 0.010405718 0.0121925585 0.008408661 0.0096699605 0.009985285 0.011877233 0.008829094 0.009144419 0.009775069 0.009564851 0.007567795 0.008093337 0.009985285 0.011141475 0.009775069 0.008829094 0.014399832 0.010826151 0.009564851 0.011667017 0.011982342 0.012928316 0.010721043 0.013138533 0.0070422534 0.011246584 0.008303553 0.007147362 0.010405718 0.0121925585 0.007672903 0.012928316 0.008934203 0.013453857 0.008408661 0.010931259 0.012507883 0.01639689 0.0079882275 0.009880177 0.009354635 0.0121925585 0.008829094 0.0074626864 0.014294724 0.013348749 0.010931259 0.014820265 0.015450914 0.010195501 0.011141475 0.012402775 0.01450494 0.01450494 0.008093337 0.0096699605 0.008303553 0.010300609 0.0058860625 0.0096699605 0.008198445 0.010090393 0.008198445 0.017132647 6.547601 0.0 0.0 0.0 10.0 228352.0 401408.0 0.0 0.0 3.0 1.0 1.0 0.0 0.0 0.0 1468027600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 14.0 0.0 5.0 1.0 5.0 1.0 217088.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 -216576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8341904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5561028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217088.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 399648.0 10528.0 389120.0 0.0 0.0 0.0 0.0 12.0 399888.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.26035428 0.008108783 0.0041791415 0.0056761475 0.0031187625 0.007859281 0.001996008 0.0026197606 0.0071731536 0.0018712574 0.0023078842 0.0030563872 0.00249501 0.0046781437 0.0019336328 0.015656188 0.0056761475 0.0016217565 0.0015593813 0.001746507 0.0013098803 0.0033058883 0.000748503 0.0015593813 0.002994012 0.0008732535 0.0006237525 0.0010603792 0.0013722555 0.001497006 0.0009356287 0.00081087823 0.011913673 0.0008732535 0.001247505 0.0021207584 0.01484531 0.0026821357 0.000748503 0.00056137727 0.0046157683 0.0008732535 0.0003742515 0.002245509 0.000748503 0.0016841317 0.0015593813 0.000998004 0.006050399 0.0009356287 0.0023702595 0.006487026 0.0020583833 0.0028692614 0.001746507 0.0003742515 0.0038048902 0.0010603792 0.00056137727 0.0041791415 0.000748503 0.0008732535 0.00068612775 0.00031187624 0.0077969064 0.010915669 0.0028692614 0.0026821357 0.008483034 0.007921657 0.0013722555 0.000748503 0.06742764 0.01116517 0.00081087823 0.001497006 0.0144086825 0.008358283 0.000748503 0.001497006 0.0039296406 0.0009356287 0.00081087823 0.001247505 0.0018088822 0.0025573852 0.0016841317 0.0031187625 0.0021831337 0.00043662675 0.000499002 0.000998004 0.0048028943 0.001497006 0.0013098803 0.00249501 0.0011227545 0.0026197606 0.000748503 0.0021207584 0.0023702595 0.0046781437 0.0026821357 0.001247505 0.0015593813 0.0020583833 0.0001247505 0.00081087823 0.0026197606 0.0009356287 0.0023078842 0.0031811376 0.0031811376 0.0001247505 0.004241517 0.0026197606 0.009917664 0.0076721557 0.0009356287 0.0011851297 0.0025573852 0.0010603792 0.00056137727 0.00018712576 0.0010603792 0.001746507 0.000499002 0.000499002 0.005177146 0.0014346307 0.00056137727 0.012911676 0.0041791415 0.009356287 0.0003742515 0.00031187624 0.0034306387 0.016342316 0.0021207584 0.036863774 0.0003742515 0.015968064 0.00031187624 0.0001247505 0.0038048902 0.000249501 0.00031187624 0.00043662675 0.0003742515 0.0008732535 0.0001247505 6.237525e-05 0.001247505 0.00031187624 0.00018712576 0.00031187624 0.0008732535 0.00068612775 0.00043662675 6.237525e-05 0.0019336328 0.00031187624 0.00031187624 0.000249501 0.0003742515 0.0001247505 0.00031187624 0.000998004 0.0028692614 6.237525e-05 0.000748503 0.00031187624 0.000499002 0.00031187624 0.00031187624 0.0011851297 0.0013098803 0.0013722555 0.00043662675 0.00018712576 0.00031187624 0.00031187624 0.0036801398 0.001497006 0.0038672655 0.0019336328 0.0034306387 0.00043662675 0.00018712576 0.000499002 0.0009356287 0.00056137727 0.010790918 0.0041791415 0.002245509 0.0061751497 0.0036801398 0.00056137727 0.0025573852 0.0035553891 0.004241517 0.0026197606 0.0018088822 0.001996008 0.009917664 0.00068612775 0.000748503 0.0023078842 0.001996008 0.0016217565 0.0026821357 0.0018088822 0.000499002 0.000499002 0.0010603792 0.0013722555 0.0026821357 0.0011227545 0.00056137727 0.0019336328 0.000748503 0.000249501 0.00056137727 0.000499002 0.0025573852 0.000748503 0.0009356287 0.000998004 0.0016217565 0.000249501 0.0001247505 0.000748503 0.014096807 0.0039296406 0.000998004 0.003243513 0.00499002 0.0010603792 0.0010603792 0.00018712576 0.0024326348 0.0011851297 0.00081087823 0.000998004 0.00031187624 0.00043662675 0.0011227545 0.0013098803 0.0018088822 0.00249501 0.00068612775 0.0010603792 0.00081087823 0.0009356287 0.0023078842 0.021457085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044782367 6.975447e-05 0.0031040737 0.0036621094 0.0020926339 0.00163923 0.010219029 0.00516183 0.0001046317 6.975447e-05 0.0001046317 6.975447e-05 0.0001046317 0.0001046317 0.0001046317 3.4877234e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034563337 0.0017787388 0.0036621094 0.0035574776 0.008126395 0.001813616 0.0009765625 0.0014648438 0.0063825333 0.00062779017 0.0006626674 0.0012207031 0.002232143 0.0011160715 0.0017787388 0.0014648438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17993164 0.025983538 0.042027064 0.02657645 0.14208984 0.027064731 0.021205356 0.032714844 0.10721261 0.008963449 0.006417411 0.020089285 0.05343192 0.017996652 0.035714287 0.038295202 0.014334543 0.0023716518 0.0037318638 0.002859933 0.011125837 0.002546038 0.0015694754 0.002406529 0.007149833 0.00163923 0.0014648438 0.0016043527 0.008056641 0.0024762836 0.003452846 0.004638672 0.0 0.0 0.0 0.0 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 11.573334 868.0 0.06912442 0.0 0.0011520737 0.0069124424 0.019585254 0.01843318 0.0 0.0 0.0034562212 0.0023041475 0.0 0.0 0.0 0.004608295 0.004608295 0.0023041475 0.023041476 0.0011520737 0.016129032 0.005760369 0.005760369 0.0011520737 0.0011520737 0.0011520737 0.0034562212 0.004608295 0.0011520737 0.0023041475 0.0034562212 0.0 0.0034562212 0.0 0.0011520737 0.043778803 0.008064516 0.0069124424 0.008064516 0.013824885 0.008064516 0.0011520737 0.020737328 0.004608295 0.0 0.0 0.005760369 0.005760369 0.0069124424 0.0023041475 0.00921659 0.0 0.008064516 0.00921659 0.00921659 0.011520738 0.023041476 0.023041476 0.0 0.0 0.0 0.0011520737 0.0034562212 0.008064516 0.00921659 0.012672811 0.0 0.042626727 0.0023041475 0.013824885 0.03456221 0.062211983 0.010368664 0.012672811 0.005760369 0.03341014 0.0 0.0011520737 0.032258064 0.012672811 0.035714287 0.047235023 0.010368664 0.0 0.057603687 0.01843318 0.03801843 0.024193548 0.0069124424 0.0011520737 0.01843318 0.004608295 0.0011520737 0.0 0.0011520737 0.0 0.0 0.0 5.4736023 0.0 0.0 0.0 1.0 16032.0 16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 11968.0 672.0 0.0 5.0 0.0 1.0 1.0 1.0 640.0 0.0 0.0 0.0 0.0 -96.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9579196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0948834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.309093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 624.0 0.0 0.0 0.0 0.0 -92.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11951.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 15936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0