Input: 0.055250127 0.0039946632 0.0032310956 0.0034481096 0.003387828 0.014053659 0.0034159594 0.0032190394 0.0033998843 0.0053449715 0.0035566166 0.0038298932 0.00876495 0.0035164289 0.0033436215 0.005019451 0.008346997 0.0035566166 0.0034280156 0.00311857 0.003584748 0.0069042565 0.0033034335 0.0034882973 0.0030381945 0.003813818 0.0038740998 0.0034641847 0.0033195086 0.003508391 0.003548579 0.0032994149 0.0033958654 0.0031306264 0.0033596966 0.0034641847 0.0066952803 0.00351241 0.0036570858 0.003403903 0.0033838092 0.0033677341 0.003311471 0.003729424 0.0032310956 0.0033797903 0.0031828703 0.003351659 0.0087207435 0.0032753022 0.0036852174 0.0034320345 0.0030703447 0.003335584 0.003351659 0.0033074524 0.003227077 0.0034159594 0.0032471707 0.00351241 0.003423997 0.0034521283 0.0033797903 0.00331549 0.0087207435 0.0032110019 0.0031868892 0.0035767104 0.0036128794 0.0034119405 0.0033235275 0.0035968043 0.0031627766 0.003351659 0.0033436215 0.0035606353 0.003508391 0.0032110019 0.0038540058 0.0032110019 0.008596161 0.0035405415 0.0032753022 0.0033034335 0.0032873584 0.0033717528 0.0034119405 0.0033918468 0.0034641847 0.0032753022 0.003492316 0.0036490483 0.00331549 0.003335584 0.0035566166 0.003440072 0.0032672647 0.0033637153 0.0032753022 0.0032351145 0.0037575553 0.003616898 0.0032552083 0.0032110019 0.0032632458 0.003440072 0.006956501 0.003331565 0.0053088027 0.0032712833 0.005172164 0.0034079219 0.003387828 0.0033677341 0.0038459683 0.0031467015 0.0037173675 0.0035646542 0.003600823 0.003403903 0.0032029643 0.005144033 0.0033436215 0.0032351145 0.0034440907 0.003311471 0.0033436215 0.0035445602 0.003387828 0.0033235275 0.0033476402 0.0041795266 0.0032833398 0.0056905863 0.0036128794 0.0031748328 0.0032994149 0.003227077 0.0034280156 0.004999357 0.0031868892 0.008479617 0.0032873584 0.003154739 0.0068680877 0.0034802598 0.0032391332 0.0033074524 0.0033556777 0.0035566166 0.0031949268 0.0032190394 0.003930363 0.0033918468 0.0034159594 0.003387828 0.003335584 0.0030783822 0.0034440907 0.0034280156 0.0031909079 0.0035003535 0.008640368 0.003082401 0.0032994149 0.003331565 0.0034481096 0.0033275464 0.0033918468 0.0034802598 0.0034561472 0.0036611047 0.0035405415 0.003351659 0.003387828 0.0035204475 0.0035365226 0.0032190394 0.003223058 0.0039263438 0.0033436215 0.0034682034 0.0033235275 0.0034360532 0.0033596966 0.0031708141 0.003335584 0.0032552083 0.0032873584 0.003387828 0.003476241 0.0032190394 0.0041634515 0.0032391332 0.003419978 0.0032471707 0.003227077 0.0032672647 0.0033637153 0.003476241 0.0033195086 0.0032753022 0.003351659 0.0033436215 0.0031507201 0.003311471 0.003227077 0.0033074524 0.0032833398 0.003134645 0.003223058 0.0032833398 0.0033838092 0.003387828 0.0032351145 0.0034481096 0.0033637153 0.003351659 0.0033838092 0.003351659 0.0031627766 0.0031748328 0.0034280156 0.0032833398 0.003331565 0.003311471 0.003508391 0.0034601658 0.0037736304 0.0032391332 0.0032310956 0.0032351145 0.003496335 0.003423997 0.0035606353 0.0033797903 0.0031065135 0.0034682034 0.0033998843 0.0033838092 0.0032150205 0.0034320345 0.00331549 0.003114551 0.003098476 0.0032913773 0.0030783822 0.0032833398 0.004083076 0.0033958654 0.003227077 0.0031667952 0.0034159594 0.0034842785 0.0032712833 0.010601531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003867914 3.0265366e-05 3.0265366e-05 6.0530733e-06 2.2194603e-05 1.0088455e-05 5.8513044e-05 3.8336133e-05 1.2106147e-05 1.0088455e-05 2.017691e-06 1.6141528e-05 1.2106147e-05 6.0530733e-06 4.035382e-06 6.0530733e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029559175 0.00014325607 5.649535e-05 9.4831485e-05 8.877841e-05 9.281379e-05 9.886686e-05 7.263688e-05 0.00021185756 5.447766e-05 9.07961e-05 1.0088455e-05 2.017691e-05 2.017691e-06 1.0088455e-05 0.00012913223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025967686 7.263688e-05 0.00014325607 0.00014527376 7.0619186e-05 4.8424587e-05 4.6406894e-05 8.070764e-05 0.00010088456 0.00012307915 0.0001836099 0.00013316762 0.00012307915 9.684917e-05 5.649535e-05 0.000110973015 0.0017997805 5.447766e-05 6.658381e-05 5.447766e-05 0.00031072443 0.00016343298 0.0008171649 0.0004781928 5.2459967e-05 6.86015e-05 5.649535e-05 4.8424587e-05 2.4212293e-05 4.8424587e-05 2.017691e-05 6.86015e-05 0.05299264 0.009057416 0.003950639 0.005633394 0.0059481533 0.0058028796 0.008070764 0.0023465748 0.010645338 0.0041181077 0.005346881 0.00024010525 0.0009765625 0.00014325607 0.0004983697 0.008195861 0.0017553912 0.0001593976 0.00023203448 0.00013316762 0.00010693763 0.000119043776 9.684917e-05 0.00017352143 0.00018966297 0.00014527376 0.0002542291 0.000121061465 9.07961e-05 0.0001795745 0.00021589296 0.0001593976 0.0015273922 0.00017755682 0.00014729144 0.00014325607 0.00020580449 0.00016141529 0.0001129907 0.00020983987 0.00024212293 0.00017352143 0.00016746836 0.00015132684 0.000102902246 0.0002037868 0.00013114992 0.000274406 0.0013397469 0.00019369835 0.00014930914 0.00015334453 0.00021589296 0.00018764527 0.00020176911 0.0002542291 0.00021387526 0.0001795745 0.00018966297 0.00016746836 0.00010895532 0.00019975142 0.000110973015 0.00026633524 0.054596703 0.053940956 0.052988604 0.05302694 0.053099576 0.053357843 0.051824395 0.053145982 0.051642805 0.052988604 0.053563647 0.053287223 0.05244181 0.05221179 0.05348294 0.05150762 1053.0 6.053181 6374.0 0.010511452 0.007844368 0.008628804 0.008785692 0.007530593 0.007844368 0.009883903 0.007844368 0.01066834 0.009413241 0.009099467 0.009883903 0.0073737055 0.00768748 0.010354565 0.01066834 0.008158143 0.0073737055 0.00831503 0.009099467 0.009727016 0.009413241 0.011766552 0.011452777 0.008942579 0.010825228 0.008628804 0.009570128 0.009256354 0.008158143 0.010825228 0.006746156 0.009413241 0.010982115 0.010825228 0.011609664 0.011452777 0.010354565 0.012707876 0.011923439 0.008942579 0.008001255 0.008785692 0.008001255 0.008785692 0.010040791 0.009099467 0.008001255 0.009727016 0.011452777 0.010040791 0.010197678 0.009570128 0.009413241 0.010825228 0.011139003 0.010982115 0.01066834 0.007216818 0.009413241 0.008001255 0.010354565 0.008785692 0.009256354 0.006589269 0.017414497 0.010197678 0.011923439 0.013962975 0.022905555 0.010197678 0.012080327 0.009727016 0.012237214 0.0073737055 0.01066834 0.019297145 0.011923439 0.016786948 0.015531848 0.011609664 0.01066834 0.01835582 0.012237214 0.021650456 0.013962975 0.008942579 0.009570128 0.009570128 0.0073737055 0.012864763 0.009727016 0.010197678 0.0073737055 0.00768748 0.011139003 6.5357647 0.0 0.0 0.0 7.0 248832.0 258048.0 0.0 0.0 50.0 0.0 1.0 0.0 0.0 0.0 1390375600.0 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 31232.0 1024.0 4096.0 4.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.520077 0.0 0.0 0.0 0.0 0.0 0.0 -4.229622 0.0 0.0 0.0 4.544185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9945335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2331.0 0.0 0.0 0.0 0.0 0.0 0.0 -31167.0 0.0 0.0 0.0 1468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 211994.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 37084.0 211994.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.13614613 0.026027078 0.010562559 0.01756536 0.0155812325 0.009628852 0.022525677 0.004901961 0.0046685343 0.0077030812 0.0050186743 0.0058940244 0.0020424838 0.007177871 0.0042600376 0.0026260505 0.0039098975 0.002159197 0.0020424838 0.008578432 0.0051937443 0.0026260505 0.0042600376 0.0038515406 0.0015756303 0.0021008404 0.0022759105 0.0029761905 0.001984127 0.007352941 0.0028594772 0.0038515406 0.014005602 0.0021008404 0.0025676938 0.0022175538 0.001984127 0.0021008404 0.0015172736 0.0022175538 0.001984127 0.0022759105 0.0040849675 0.0060107377 0.0012838469 0.0046101776 0.011204482 0.007177871 0.033088237 0.0125466855 0.0064192344 0.0033263306 0.0018674136 0.0044934643 0.0025093372 0.0023342671 0.0027427638 0.0029178339 0.0030929039 0.0020424838 0.0014005603 0.0014005603 0.0014589169 0.0016923436 0.0014589169 0.0032096172 0.0007586368 0.004726891 0.0022759105 0.001809057 0.0019257703 0.0021008404 0.005252101 0.0026844072 0.0007586368 0.0013422036 0.0026844072 0.001633987 0.0032096172 0.0012838469 0.001984127 0.001633987 0.0016923436 0.0091619985 0.0031512605 0.011612979 0.0029761905 0.0017507003 0.0015756303 0.001809057 0.0028594772 0.0010504202 0.0015172736 0.0017507003 0.001809057 0.0060690944 0.001984127 0.015756303 0.0046685343 0.015464519 0.003793184 0.019607844 0.0022175538 0.004376751 0.0053104577 0.009745565 0.0012838469 0.001633987 0.006477591 0.009687209 0.012079832 0.010270775 0.010562559 0.0015172736 0.013188609 0.014414099 0.018323997 0.0058356677 0.0038515406 0.008403362 0.003968254 0.0064192344 0.0015756303 0.0012838469 0.0012254902 0.0011671336 0.0012838469 0.0023342671 0.0022175538 0.0020424838 0.007936508 0.0017507003 0.0024509805 0.0011087769 0.009512139 0.001633987 0.0011087769 0.0012838469 0.0011087769 0.0013422036 0.0013422036 0.0014005603 0.0009337068 0.0013422036 0.00087535015 0.001984127 0.0014589169 0.002159197 0.0011087769 0.0011671336 0.0011087769 0.0021008404 0.0009337068 0.0015756303 0.0011671336 0.0015172736 0.00087535015 0.001809057 0.0007586368 0.0007586368 0.0038515406 0.0013422036 0.0012838469 0.0019257703 0.002159197 0.0012838469 0.0014589169 0.0014005603 0.0014589169 0.001984127 0.0012838469 0.0012838469 0.0014005603 0.0007002801 0.001633987 0.001809057 0.0012838469 0.0015756303 0.0014589169 0.0013422036 0.0023342671 0.0009337068 0.00087535015 0.0015756303 0.0008169935 0.0011087769 0.0012838469 0.0018674136 0.0014589169 0.0015172736 0.0014005603 0.0009920635 0.0011671336 0.0011671336 0.0015172736 0.0017507003 0.0011087769 0.0021008404 0.0011087769 0.001633987 0.0018674136 0.001809057 0.0014589169 0.0011671336 0.0017507003 0.001809057 0.0014589169 0.0020424838 0.0012254902 0.0013422036 0.0011087769 0.0008169935 0.0013422036 0.0011087769 0.0015172736 0.0017507003 0.0016923436 0.0015172736 0.0012838469 0.0019257703 0.0012838469 0.0019257703 0.0010504202 0.0008169935 0.0011087769 0.0010504202 0.0015756303 0.00087535015 0.001633987 0.0009337068 0.0012254902 0.0012838469 0.0015756303 0.0009337068 0.0018674136 0.0007002801 0.0014589169 0.00087535015 0.0015172736 0.0011671336 0.0017507003 0.0013422036 0.0011087769 0.0012254902 0.001633987 0.0011671336 0.0015756303 0.0042600376 0.0019257703 0.0009337068 0.0010504202 0.0013422036 0.0012254902 0.0012838469 0.0011671336 0.0028011205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07565104 0.003873698 0.004264323 0.0021158855 0.0020833334 0.004199219 0.020703126 0.016634114 0.000390625 0.0008463542 0.00045572917 0.0006510417 0.00052083336 0.00029296876 0.00026041668 0.000390625 0.02688802 0.0033203126 0.0024088542 0.0005859375 0.00032552084 0.0029947916 0.014811198 0.013541667 0.00022786458 0.00022786458 0.00032552084 0.00016276042 0.00026041668 0.00022786458 0.00016276042 0.0001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.028678386 0.0024088542 0.0031901042 0.0051432294 0.0028320313 0.0024739583 0.008984375 0.00546875 0.0015625 0.0008463542 0.0009765625 0.00052083336 0.0009765625 0.0006184896 0.0008789062 0.0011067708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14202474 0.049121093 0.058496095 0.07744141 0.031477865 0.043977864 0.08476563 0.06318359 0.035677083 0.01858724 0.023763021 0.019563802 0.022591146 0.020345053 0.018229166 0.024088541 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 250.0 17.716 4429.0 0.04267329 0.0004515692 0.001128923 0.0006773538 0.0015804922 0.0020320613 0.0020320613 0.0027094153 0.0031609845 0.0013547076 0.0006773538 0.0018062769 0.0013547076 0.012418153 0.03386769 0.021675322 0.04967261 0.026416799 0.015579138 0.0074508917 0.0036125537 0.009482954 0.005193046 0.001128923 0.0042899074 0.004741477 0.007902461 0.0009031384 0.0009031384 0.0002257846 0.0006773538 0.0002257846 0.001128923 0.0065477532 0.0002257846 0.011515015 0.0004515692 0.001128923 0.0006773538 0.0029351998 0.0027094153 0.0029351998 0.0 0.0004515692 0.0002257846 0.0004515692 0.0038383382 0.0006773538 0.0013547076 0.0002257846 0.0004515692 0.021449538 0.0076766764 0.0004515692 0.0031609845 0.0004515692 0.0009031384 0.0024836306 0.005644615 0.0004515692 0.0009031384 0.0006773538 0.0013547076 0.016708061 0.0006773538 0.04967261 0.014901783 0.053736735 0.008805599 0.06276812 0.0015804922 0.012869722 0.012869722 0.027319936 0.001128923 0.0038383382 0.01715963 0.032061413 0.038609166 0.03138406 0.03431926 0.0 0.03928652 0.046511628 0.059155565 0.01715963 0.01128923 0.024158953 0.0076766764 0.018965907 0.0020320613 0.0002257846 0.0002257846 0.0 0.0002257846 0.001128923 5.356954 0.0 32.0 0.0 1.0 17136.0 12288.0 1.0 72.0 0.0 0.0 1.0 1.0 0.0 0.0 1447994200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 10.0 0.0 12.0 10.0 10.0 0.0 10.0 0.0 2048.0 1024.0 4096.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7079053 0.0 3.338479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1672.0 0.0 1016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 1400.0 4368.0 0.0 0.0 1016.0 8192.0 0.0 0.0 13040.0 4096.0 0.0 0.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.022820616 0.0039134556 0.003389019 0.003649713 0.0029377597 0.0022120858 0.0025764473 0.0033874947 0.0024788778 0.002302033 0.0026465754 0.0020779276 0.0024514364 0.0021815954 0.0026846887 0.0028462883 0.0020870748 0.002561202 0.0025108927 0.0022959346 0.0025688247 0.0029057448 0.0022837385 0.0021267124 0.0027273754 0.0029331862 0.0022303802 0.0025459568 0.0032472382 0.0025977907 0.002670968 0.0029438578 0.0030947858 0.0020001768 0.002349293 0.0032243705 0.0032670572 0.00210232 0.0022608705 0.002677066 0.0023965533 0.0024865004 0.0028767788 0.0029042203 0.0022684932 0.0023950287 0.002590168 0.0020215202 0.21507084 0.083531775 0.0026907867 0.0024804021 0.0025855945 0.0028874504 0.0022608705 0.0021953161 0.003206076 0.003376823 0.0023630138 0.00258407 0.0029072692 0.0030353293 0.0027837828 0.0030536237 0.002706032 0.0024986966 0.003649713 0.002215135 0.0020367655 0.0025307115 0.0030825897 0.0030368539 0.0030155105 0.0030017898 0.0026846887 0.0023843572 0.002192267 0.00250327 0.0026176095 0.0030338047 0.002253248 0.0026679188 0.0027929298 0.0027487187 0.0026282812 0.0027212773 0.0027715864 0.002677066 0.0023935044 0.0025413833 0.0030261823 0.0027288997 0.0027715864 0.0023889306 0.002337097 0.0021876935 0.0021663501 0.002256297 0.0024712551 0.0032975476 0.0028386656 0.0029926426 0.0022303802 0.0026816395 0.0023645384 0.0034317058 0.002895073 0.0030124614 0.0024544853 0.002843239 0.0031207027 0.003010937 0.0027365224 0.0029972163 0.0033173666 0.0036908751 0.0028645825 0.0028874504 0.0027563414 0.0027563414 0.0028096996 0.0028615335 0.0031908308 0.0025703493 0.0021221389 0.0025932172 0.002494123 0.0025855945 0.0027517676 0.002381308 0.0023279497 0.002532236 0.0020047503 0.0022014142 0.0023508177 0.0021739728 0.002273067 0.0024209458 0.0030993593 0.0020825013 0.0033844456 0.0027395715 0.0033463323 0.003187782 0.0028234203 0.003562815 0.0031268008 0.0029773973 0.002404176 0.0030322804 0.0026267567 0.0022395272 0.0021648256 0.0023508177 0.003068869 0.0020459127 0.0029636766 0.0023447196 0.0029865445 0.0027837828 0.0024407646 0.0021373841 0.0020199956 0.0026008396 0.0027944543 0.0030246577 0.002436191 0.002940809 0.0025093681 0.0028691562 0.0026450509 0.0027288997 0.0024133231 0.0035170792 0.0029072692 0.0024727797 0.0019696862 0.002683164 0.0024438137 0.0022776404 0.0027288997 0.0030978348 0.0024956474 0.002853911 0.0027807336 0.0030017898 0.0023249006 0.002549006 0.0025749227 0.0025520548 0.00203829 0.0020642069 0.0025093681 0.0023416704 0.004649801 0.0021907424 0.002468206 0.00252004 0.002872205 0.0033402343 0.002991118 0.0027517676 0.0024438137 0.002330999 0.0021907424 0.0026740169 0.0025993153 0.002831043 0.0022776404 0.0021190897 0.0030063633 0.002824945 0.002924039 0.002491074 0.0030810651 0.0026084622 0.0022928857 0.0020520107 0.0028264695 0.0026907867 0.0027807336 0.0024026514 0.0026923113 0.0021221389 0.0027532922 0.002291361 0.0027853071 0.0030063633 0.0029423332 0.0025673 0.0027197527 0.003078016 0.0021084181 0.002872205 0.0025794962 0.0028173223 0.0020931729 0.0028874504 0.0026038887 0.0030947858 0.0030292312 0.0034317058 0.0027197527 0.0025505305 0.002709081 0.0028935485 0.0035994037 0.0027776847 0.0024026514 0.0025413833 0.0022974592 0.0025764473 0.0025855945 0.002262395 0.0028417148 0.0051788115 0.003070288 7.641334e-07 3.0565336e-06 0.29107982 5.348934e-06 0.0 0.0 1.0697868e-05 0.0 0.0 0.0 0.0 0.0 0.0 1.5282668e-06 3.8206672e-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 0.0013830814 8.405467e-06 3.820667e-06 1.2990268e-05 1.1462002e-05 6.1130672e-06 4.5848005e-06 7.641334e-06 5.1196937e-05 5.348934e-06 3.820667e-06 3.0565336e-06 2.0631602e-05 4.5848005e-06 8.405467e-06 2.9801204e-05 0.0003889439 0.0 0.0 0.0011217479 0.00025216403 0.0 0.0 0.0 0.0 0.0 0.0 2.6744669e-05 0.0 2.6744669e-05 0.00023917375 0.0010743716 0.0010629096 2.2924003e-06 7.641334e-06 7.641334e-07 0.0004760551 0.0 2.2924003e-06 0.00013601575 1.9103336e-05 0.0 7.641334e-07 7.641334e-07 5.348934e-06 7.641334e-07 0.00018492028 0.0012302548 0.0014977015 9.933734e-06 3.132947e-05 1.2990268e-05 0.00047911165 6.8772006e-06 7.641334e-06 9.933734e-06 5.3489337e-05 6.1130672e-06 4.5848005e-06 6.8772006e-06 9.7809076e-05 5.348934e-06 7.182854e-05 0.0008283206 0.0026439016 0.0002697391 0.00027585216 0.00018568442 0.00021319323 1.8339202e-05 6.724374e-05 7.259267e-05 2.5980537e-05 5.348934e-06 9.933734e-06 1.3754401e-05 5.348934e-06 2.215987e-05 8.252641e-05 0.00078323676 0.0052259085 0.00035379376 0.00056316634 0.00039887763 0.00035532203 9.169601e-05 0.00016046801 0.00025827708 9.398841e-05 8.634708e-05 6.877201e-05 4.5848006e-05 0.00014977015 5.7310004e-05 0.00011844068 0.0013616857 0.0035669748 0.0003339263 0.00045848003 0.0006082502 0.00020478775 0.00012990268 0.00061207084 0.00038817976 0.0008275565 0.0005257238 4.508387e-05 5.807414e-05 0.001289093 5.807414e-05 2.1395736e-05 0.00026209775 0.00227941 0.0002475792 0.00022924002 0.00021777803 0.00052266725 0.00028043697 0.0018537877 0.0011087576 0.0007075875 0.00042103752 5.883827e-05 3.20936e-05 0.0010216464 1.8339202e-05 7.717747e-05 0.0003132947 0.001334941 0.0002536923 0.00015588322 9.398841e-05 0.00013372334 0.00013525161 0.0004439615 0.00029877617 0.000100101475 2.4452269e-05 3.20936e-05 2.7508802e-05 3.0565338e-05 1.22261345e-05 2.903707e-05 2.3688135e-05 0.00083137717 0.00013907228 0.00014212882 9.7809076e-05 0.00014824189 0.00012608201 0.00057080766 0.00038817976 0.00020096709 0.00012073308 1.7575068e-05 1.60468e-05 0.0002697391 1.22261345e-05 1.60468e-05 3.2857737e-05 0.000624297 4.049907e-05 5.883827e-05 6.265894e-05 5.4253473e-05 6.1130675e-05 0.00010086561 0.000106214546 6.18948e-05 6.5715474e-05 4.9668673e-05 5.5017605e-05 5.807414e-05 5.3489337e-05 5.0432805e-05 6.18948e-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 0.04024767 0.039644007 0.03904187 0.04224817 0.040422656 0.04087808 0.04032714 0.042542364 0.039209977 0.04234751 0.04226804 0.040246144 0.040862035 0.041017152 0.04240253 0.040441763 2303.0 90.57534 208595.0 0.0009683837 0.00039310625 0.00057048345 0.000685539 0.00075744867 0.00039310625 0.00044584004 0.00046980992 0.0004793979 0.00055610156 0.0005465136 0.00063759915 0.000685539 0.0005656895 0.0012128766 0.00050336774 0.669901 0.25444043 0.00073827273 0.0006567751 0.0005417196 0.0006088353 0.00048419184 0.00063280517 0.00057048345 0.0006184233 0.00056089554 0.000675951 0.0006567751 0.0008533282 0.0005656895 0.0005848654 0.00045542797 0.00069033296 0.00052733766 0.0007478607 0.00062321726 0.0007478607 0.0008101824 0.0007958005 0.00063280517 0.00082935835 0.0005129557 0.00062801124 0.00041228218 0.0008485342 0.00062321726 0.0007190968 0.00069512695 0.0005848654 0.0010307054 0.0009252379 0.0007526547 0.00069033296 0.0007143028 0.00066636305 0.00055610156 0.0005848654 0.0007190968 0.0006136293 0.0005369256 0.0005848654 0.0005225437 0.00069512695 0.0005656895 0.0013135502 0.0009779717 0.001351902 0.0010019415 0.002953091 0.00063280517 0.00093482586 0.0005417196 0.00180733 0.00066156907 0.000685539 0.0011265851 0.0011649368 0.0016730985 0.0017785662 0.0011697308 0.000680745 0.0019607374 0.0019319734 0.0022771398 0.0013039622 0.0006136293 0.0013806659 0.0007190968 0.0010450874 0.00062801124 0.0006471871 0.00036913637 0.0005848654 0.0005465136 0.00053213164 1.6551476 0.0 0.0 0.0 8.0 655942.0 483328.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1544091500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 449536.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -449536.0 0.0 12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.963174 0.0 3.601897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -449332.0 0.0 12760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 457440.0 12760.0 458752.0 0.0 0.0 0.0 0.0 12.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.023530649 0.007886034 0.00502411 0.0069913026 0.009098646 0.0049093487 0.004957589 0.006721664 0.0086665135 0.004817946 0.0036073658 0.004254295 0.0070207547 0.0046392023 0.0046097506 0.00932563 0.008388243 0.00473873 0.00259838 0.0041933595 0.0050398516 0.0040902775 0.0028116533 0.0039435253 0.005346559 0.0036794725 0.0026440814 0.004173048 0.0048580617 0.0044919425 0.00324277 0.0045503387 0.0058370875 0.0037566572 0.0032148415 0.0036972454 0.005436946 0.0027441166 0.0030447305 0.0030523473 0.0033671795 0.0035865463 0.0025110394 0.0033570237 0.0032016388 0.002701462 0.002999537 0.0032767921 0.0058467356 0.005457258 0.003223474 0.004431515 0.0034463953 0.0034133887 0.003033559 0.0044304994 0.004688966 0.0054364386 0.0033367118 0.005493311 0.0035855307 0.0038028664 0.0028624325 0.004709278 0.0046534208 0.0048849746 0.0026552528 0.0044320226 0.0042482014 0.0064032776 0.0041126204 0.0044274526 0.0034794018 0.003073167 0.0017600127 0.0027217737 0.0033895224 0.0053526526 0.0034844799 0.0034753396 0.0064129257 0.0039531733 0.0025993956 0.004761581 0.0030010603 0.0040831687 0.0041298857 0.00501954 0.0034108497 0.003077737 0.0015579108 0.0022825324 0.0028375508 0.0042771455 0.0028238404 0.0033433132 0.0041344557 0.004332495 0.0025917785 0.0031330867 0.0028918847 0.003590101 0.0033326496 0.0029482497 0.0040907855 0.0029264146 0.0036794725 0.0025374447 0.002822317 0.0023561623 0.0025795915 0.004037467 0.004460967 0.0027095866 0.0033488988 0.0040323893 0.006491126 0.0068684164 0.0032046854 0.0053333566 0.0038592315 0.002450104 0.002484634 0.003210779 0.0025374447 0.003963837 0.0029878577 0.004968253 0.0048367344 0.004568111 0.003462137 0.008105909 0.004394446 0.004411711 0.003500729 0.0036556062 0.0040019215 0.014970771 0.003263082 0.013955692 0.0024292846 0.007830685 0.0027309142 0.0030960178 0.0027029854 0.0025689278 0.001687906 0.002408973 0.0016838437 0.002263236 0.0017397009 0.0020717978 0.002509516 0.0025328745 0.0018768052 0.0028573547 0.0019260612 0.0026217385 0.0018437987 0.0026826737 0.002743609 0.002630371 0.0023216323 0.002573498 0.001950943 0.0016833359 0.0023653028 0.0023089375 0.0026090436 0.002384091 0.002268822 0.0023906922 0.0022129645 0.001801144 0.002542015 0.002536429 0.003767321 0.0029523121 0.0017412243 0.00263291 0.0016218928 0.002091602 0.0018163777 0.0024130354 0.0030538708 0.0029792252 0.0022459712 0.0037754455 0.0025511552 0.0030442227 0.0023241714 0.0041694934 0.006202191 0.0059244283 0.0036114282 0.0052150404 0.0031401957 0.0029736394 0.0030614878 0.005373472 0.0029563745 0.0029914123 0.0020012145 0.0024648302 0.0024694004 0.0021632009 0.002297766 0.003036606 0.0031351177 0.0030767214 0.0019255534 0.0027969272 0.0023434674 0.002408973 0.0018549701 0.0029644992 0.004027311 0.0032930416 0.0016620085 0.002694353 0.002826887 0.0034133887 0.002897978 0.0044132345 0.0047300975 0.0037556416 0.0027248205 0.0026283397 0.0025308435 0.0020205108 0.0016731799 0.0024247146 0.014679805 0.0039354004 0.0023663184 0.0054658903 0.0041984376 0.0021647243 0.0034976825 0.0051556285 0.005294764 0.004151213 0.0017488413 0.0022871024 0.0029066107 0.0028086065 0.0027882948 0.00416797 0.0046016257 0.003267144 0.002869034 0.0037952494 0.0034672148 0.0037074012 0.004481279 0.033537738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00046313045 3.3026308e-06 4.5728734e-06 4.8269217e-06 2.7945337e-06 2.7945337e-06 2.7945337e-06 3.5566793e-06 6.0971643e-06 4.8269217e-06 3.3026308e-06 4.5728734e-06 5.5890673e-06 2.5404852e-06 3.5566793e-06 2.0323882e-06 0.0009028884 8.383601e-06 8.891698e-06 1.0670038e-05 6.0971643e-06 5.335019e-06 7.6214556e-06 5.335019e-06 2.7945336e-05 1.0161941e-05 1.1686232e-05 9.9078925e-06 7.875504e-06 4.8269217e-06 7.875504e-06 5.0809704e-06 0.00041663958 2.2864366e-05 1.2702426e-05 1.3210523e-05 5.5890673e-06 2.7945337e-06 6.6052617e-06 2.5404852e-06 1.0161941e-05 2.7945337e-06 4.8269217e-06 3.3026308e-06 3.3026308e-06 3.0485821e-06 5.0809704e-06 4.8269217e-06 0.0019239094 9.094937e-05 0.00016259105 0.00010288965 4.3696346e-05 2.9723677e-05 2.4896755e-05 2.5150803e-05 2.718319e-05 2.3626511e-05 2.8453434e-05 2.2864366e-05 2.5658901e-05 2.3118415e-05 2.057793e-05 2.6166997e-05 0.001146521 9.730058e-05 6.452832e-05 5.4620432e-05 2.057793e-05 1.905364e-05 1.7529348e-05 1.7275299e-05 1.371862e-05 1.4734814e-05 1.7275299e-05 1.7021252e-05 1.2448378e-05 1.6767202e-05 1.6767202e-05 1.4734814e-05 0.0006315646 4.5728734e-06 1.44807655e-05 1.3464572e-05 6.0971643e-06 7.6214556e-06 5.335019e-06 0.00015090482 3.7091082e-05 0.00016157486 1.7783397e-06 2.0323882e-06 3.607489e-05 1.7783397e-06 9.653843e-06 0.00047684906 0.0007235302 2.8199385e-05 3.1502015e-05 3.3280357e-05 1.2448378e-05 8.891698e-06 4.1663956e-05 5.2842093e-05 9.399795e-06 4.0647765e-06 3.556679e-05 0.00011355969 8.332791e-05 8.383601e-06 6.554452e-05 0.00030866894 0.0013164794 0.00018824995 0.00021162242 0.0001110192 4.5474684e-05 4.29342e-05 0.00015954247 0.00015903437 7.621456e-05 0.00011381374 0.000105938234 0.00019256878 0.00018672567 6.122569e-05 0.0006498561 0.0010619228 0.000476595 8.053338e-05 0.00015776412 0.00015649389 3.1756066e-05 3.1502015e-05 0.00014684004 9.4252e-05 5.8939255e-05 3.556679e-05 0.00020527121 7.189573e-05 0.00015166696 5.6144723e-05 0.00033280355 0.0005134321 0.0002487135 4.115586e-05 8.840888e-05 3.963157e-05 7.367407e-06 1.7783395e-05 6.605261e-05 3.5312743e-05 7.342002e-05 2.057793e-05 0.00016716392 0.00013693215 9.755463e-05 2.388056e-05 0.00013058094 0.00036633798 0.0030696683 0.0013207982 0.0011610017 0.007945367 0.0012011414 0.0011091758 0.0014069207 0.0014259743 0.0012346758 0.0010334693 0.0010334693 0.0012809127 0.00096589245 0.0010713226 0.0013827861 0.0030140316 0.0016594449 0.0006300403 0.0007392812 0.0016612232 0.0006140353 0.00054468005 0.001073355 0.0009036506 0.0005855818 0.00036938654 0.00038132683 0.000387424 0.00041562336 0.00037929445 0.00041638553 0.00068567693 0.10303675 0.06630006 0.05314441 0.05703237 0.060511563 0.055693787 0.048964042 0.06002201 0.08708961 0.034200773 0.035344753 0.040953383 0.053914685 0.04410181 0.060940143 0.07943665 10433.0 6.761622 70544.0 0.020271037 0.0069460194 0.0076689725 0.0075272173 0.012389431 0.0072295307 0.0062514176 0.007116126 0.008108415 0.0072295307 0.005741098 0.007697324 0.008647085 0.007427988 0.00914323 0.010022114 0.019392153 0.014402359 0.012672942 0.015309594 0.012843048 0.012105919 0.011978339 0.013169086 0.015380472 0.013707757 0.011397142 0.014331481 0.013296666 0.012559537 0.009752778 0.011864935 0.009611023 0.0125737125 0.0070452485 0.012148446 0.012020866 0.011198685 0.008590383 0.010461556 0.008306872 0.009809481 0.0049330913 0.0071303016 0.009710251 0.009611023 0.008774665 0.008689612 0.013849513 0.010007938 0.008916421 0.013325017 0.009894534 0.008831368 0.009299161 0.012162622 0.008618735 0.007371286 0.0051173735 0.005358358 0.0069460194 0.0069176685 0.0051599 0.009639374 0.010546609 0.016386935 0.0074705146 0.012460308 0.012899751 0.019789068 0.008476979 0.010631663 0.012261851 0.01647199 0.007697324 0.0075980946 0.012857224 0.009171581 0.012049218 0.016429462 0.013551826 0.0067333863 0.01468587 0.016443638 0.020271037 0.013977093 0.0072295307 0.012729644 0.010178045 0.0072720572 0.0059679067 0.0063222954 0.006010433 0.0063789976 0.004975618 0.008462803 6.5026474 2.0 22.0 0.0 19.0 1969304.0 3432448.0 0.0 0.0 3.0 1.0 1.0 1.0 0.0 0.0 1543208400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 1916928.0 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 -1914880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7929544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3826394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1916928.0 0.0 0.0 0.0 0.0 0.0 1466368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 3431884.0 44492.0 3387392.0 0.0 0.0 8856.0 1960448.0 16.0 3432168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 152.0 3384772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1965688 0.015784949 0.010586864 0.0063543105 0.010271231 0.003629234 0.0034889525 0.0033667544 0.011526092 0.0025913706 0.0028472745 0.0021721702 0.00802344 0.002351906 0.002755215 0.0063493787 0.0072080544 0.002157375 0.0019113345 0.0018510573 0.0038922618 0.00431201 0.0011984198 0.001046083 0.0030193385 0.0010734817 0.0010181363 0.001367744 0.00243191 0.0013732237 0.0014713111 0.0011069082 0.0077209584 0.0010493709 0.0015052855 0.0010751256 0.004547639 0.0019831192 0.0010411512 0.0008279892 0.0020768228 0.00095073547 0.0009375841 0.0019014709 0.0016828291 0.0011315669 0.0020170936 0.0010170403 0.013456605 0.0020192855 0.002046684 0.0062090973 0.002134908 0.0022132683 0.0014121298 0.0013644561 0.0024478014 0.0032451039 0.0015743303 0.005024377 0.0022932726 0.0023880722 0.0014921341 0.0014915861 0.0051860292 0.0030845476 0.0027820657 0.003945963 0.0037684194 0.010278903 0.003713622 0.0021118931 0.0029650892 0.0022368312 0.0009200489 0.001004985 0.0024456095 0.0053860396 0.0028823449 0.0019168142 0.009861346 0.0039169206 0.002735488 0.0056698904 0.0027590508 0.005437549 0.0063077323 0.005186577 0.0025053388 0.0033826455 0.001410486 0.0023162875 0.0023025882 0.003583752 0.0035185432 0.0030900273 0.0021299762 0.0051257517 0.001983667 0.0036034791 0.0039147288 0.009633388 0.0047476497 0.00247794 0.0058781207 0.0055279653 0.00597292 0.0018384539 0.00487478 0.0027590508 0.0054786475 0.0057098926 0.004040763 0.0015228207 0.0064063678 0.00494766 0.014733934 0.012534365 0.0029360466 0.0025946584 0.0028330274 0.0022582023 0.0016915968 0.0013250019 0.0026149335 0.00384404 0.0023984837 0.0017913281 0.00461504 0.0029294707 0.0017979038 0.010071768 0.0034840207 0.009035549 0.002303136 0.0015025457 0.0028045326 0.010478365 0.0021234006 0.02609947 0.0020006543 0.008654706 0.0016768015 0.0014263772 0.0041454257 0.0014389806 0.0013096586 0.001367744 0.0017250231 0.0015935093 0.0014241852 0.001281164 0.001752422 0.0019907907 0.0013693878 0.0012702045 0.0018444816 0.0015891256 0.0013250019 0.0012729444 0.001280616 0.0016198121 0.0007342856 0.0011743089 0.0012060915 0.0011003325 0.0006537334 0.00074853294 0.0013266458 0.0007786715 0.00093374826 0.0010526587 0.0012669166 0.0006307185 0.00065263745 0.00085264805 0.0013260979 0.00063126645 0.0006959274 0.0007348336 0.001215955 0.0014828185 0.00149597 0.0014904902 0.002069699 0.0009627909 0.00080387836 0.0008899103 0.0012121192 0.0010740297 0.0012877397 0.0010943047 0.0078294575 0.0026012342 0.003178799 0.0032188012 0.0023535497 0.00092936447 0.0021623068 0.0036747158 0.002201761 0.0026746627 0.0011014284 0.0010148485 0.0031026306 0.0008888144 0.0012849998 0.0010510148 0.0017869443 0.001280616 0.0014230893 0.0011978719 0.0014444604 0.0007770276 0.0013315777 0.001237874 0.0020406565 0.0010860851 0.0008307291 0.0014482961 0.0015935093 0.0009797781 0.0008833346 0.00090580154 0.0023305349 0.0010351235 0.00088936236 0.0008674434 0.0021606628 0.0009233368 0.00084662036 0.0009162131 0.0118833715 0.002493831 0.0008603197 0.0044106455 0.0047514853 0.00081702974 0.0009978613 0.0008625116 0.0032719548 0.0012532173 0.0009912855 0.0013288377 0.0023568375 0.0007534647 0.0023875241 0.0019973665 0.004463799 0.002108605 0.0012510254 0.0016395391 0.005721948 0.0020625754 0.003633618 0.049903475 0.019040227 8.773161e-06 2.1932904e-06 2.1932904e-06 9.047322e-06 2.4674516e-06 1.0143967e-05 3.5640967e-06 6.0315483e-06 2.741613e-07 0.0 1.3708064e-06 2.741613e-07 1.3708064e-06 8.2248386e-07 1.6449677e-06 0.0032183793 1.069229e-05 5.757387e-06 5.757387e-06 2.4400355e-05 1.2885581e-05 4.6059096e-05 1.7272161e-05 3.838258e-06 3.2899354e-06 1.6449677e-06 2.4674516e-06 2.4674516e-06 1.919129e-06 1.0966452e-06 1.0966452e-05 0.0051599895 2.8238612e-05 0.000135984 2.3029548e-05 3.2899356e-05 2.988358e-05 4.276916e-05 1.9739613e-05 1.9739613e-05 8.499e-06 9.047322e-06 2.4674515e-05 1.9739613e-05 1.8368806e-05 3.180271e-05 1.0418129e-05 0.0054470366 3.7285936e-05 8.087758e-05 4.1398354e-05 0.0004893779 0.0001749149 0.00014064474 8.087758e-05 5.757387e-05 2.6593645e-05 1.8094644e-05 2.1932903e-05 2.8786935e-05 1.6449678e-05 2.4126193e-05 5.181648e-05 0.0066209952 0.00017299577 0.00012611419 0.00011432526 0.00048416882 0.00018067229 0.00016093267 0.000120082645 0.00010034303 4.688158e-05 3.7560098e-05 3.3447675e-05 3.0706065e-05 5.7848032e-05 4.468829e-05 9.047322e-05 0.009947943 0.00033091268 0.00017299577 0.00016669006 0.00034708818 0.00013543568 0.00031775294 0.00022152232 9.513397e-05 8.2248385e-05 7.676516e-05 7.402355e-05 7.6491e-05 6.826616e-05 0.000120905126 0.000118437674 0.007497763 0.00020644345 0.00022865052 0.00030020662 0.00036710195 0.00016559342 0.00033392844 0.00021220083 0.00012611419 6.497622e-05 8.3893356e-05 5.510642e-05 0.000113776936 0.00010006887 0.00014640213 0.00010445545 0.017208282 0.0005869793 0.0011300928 0.00079506775 0.0013946585 0.0003462657 0.002405217 0.0012320809 0.00036874693 0.00026045323 0.00011021284 0.00019520284 0.00017272161 9.184403e-05 0.00027087136 0.0015054196 0.025675753 0.0014009642 0.0016989774 0.0011624439 0.0024959643 0.0012186469 0.006789604 0.0037664277 0.0006319418 0.0010711481 0.00051240745 0.00034023417 0.00063084514 0.00033995998 0.0005003443 0.0011747811 0.021223374 0.0011514775 0.0030941842 0.002017553 0.0034429175 0.0019114525 0.01151779 0.0065231193 0.00058122195 0.0007895845 0.00053434033 0.0003051415 0.0005913659 0.00047950807 0.00048033058 0.00094338896 0.01599594 0.00082988624 0.0021044621 0.0017414725 0.003017145 0.0017167979 0.0073072207 0.0042728037 0.00067663006 0.001278414 0.0005946558 0.00038684157 0.00062481355 0.00050939166 0.00050390844 0.0016737547 0.014123418 0.0012224852 0.002226738 0.008476519 0.0022991165 0.002094044 0.0050138617 0.0030610107 0.0013765638 0.0016627882 0.001320635 0.0011923275 0.0013743705 0.0012202918 0.0014678595 0.0035243433 0.01473288 0.0018234467 0.0018165926 0.0030747189 0.0030141291 0.0027736898 0.003549292 0.0027558692 0.0050681457 0.0013551792 0.0011013059 0.0013209091 0.0020679985 0.0013485993 0.0021735507 0.0064874785 0.06254962 0.012318341 0.006974389 0.012102027 0.016934669 0.021731943 0.011629374 0.017358521 0.03943015 0.005837168 0.003966017 0.0059572505 0.014608684 0.0062508774 0.01371766 0.034427803 0.05868532 0.0155600235 0.01090641 0.019906577 0.0195636 0.030768847 0.021315766 0.02797487 0.04185977 0.013577289 0.006998515 0.007917504 0.018321924 0.00909064 0.016946457 0.034340344 0.0014338635 0.00074818614 0.00075120194 0.0008778644 0.0007259791 0.0007385905 0.0010727932 0.0008729295 0.0006368767 0.000637425 0.0006431824 0.0006379733 0.0006138471 0.0006467465 0.00062837766 0.00068677403 12114.0 14.52559 175963.0 0.032097656 0.0025289408 0.004330456 0.0017503679 0.0055125225 0.0063990727 0.0022959372 0.0018924433 0.0035348341 0.0028869705 0.0018526622 0.0020515677 0.004404335 0.003966743 0.009268994 0.00396106 0.015713532 0.00750726 0.0066207102 0.0065525137 0.005637549 0.0050521987 0.00484761 0.0042338446 0.0062058503 0.0058705523 0.00614902 0.0054670586 0.0056204996 0.0075186263 0.004978319 0.004853293 0.004915806 0.01394043 0.0033984417 0.011650177 0.013480106 0.0075186263 0.00792212 0.009700903 0.0058989674 0.011604712 0.0017162699 0.002557356 0.00667754 0.006535465 0.0091667 0.0067627854 0.01424163 0.0051601757 0.008712059 0.017952638 0.009155334 0.0060012615 0.01165586 0.013451692 0.0071662795 0.004768048 0.004006524 0.003989475 0.0061717522 0.0042224787 0.0042224787 0.0075186263 0.0041315504 0.030944005 0.008706376 0.022300143 0.019793933 0.06462154 0.012019572 0.012911805 0.0139176985 0.035723418 0.0059444313 0.006160386 0.0262953 0.014468951 0.03396737 0.037064612 0.015946534 0.004114501 0.037058927 0.026920432 0.048993256 0.017253628 0.007081034 0.008422225 0.010809091 0.009985054 0.0041826973 0.0030290459 0.0038189846 0.0033188795 0.003478004 0.0032109022 6.0476184 1.0 60.0 18.0 38.0 1824903.0 184320.0 1.0 0.0 215.0 0.0 1.0 1.0 0.0 0.0 984175100.0 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 6.0 20.0 4.0 0.0 4.0 0.0 143360.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143360.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9673115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.699507 0.0 3.9275036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140978.0 0.0 2688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 2.0 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 -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 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 314.0 140105.0 2688.0 180224.0 0.0 0.0 5536.0 155648.0 0.0 0.0 56.0 145018.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 896.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15281999 0.015033863 0.00598313 0.0067359554 0.008589286 0.0033665264 0.0034953833 0.0035267267 0.011479275 0.0015851697 0.0018196657 0.0021296183 0.009192359 0.0021458704 0.0016913894 0.0071027903 0.006539768 0.0016948719 0.0012154322 0.0011051494 0.003123324 0.0051519466 0.0017784548 0.0010505884 0.002623569 0.0030171042 0.0007748815 0.001487076 0.0021528357 0.00091708824 0.0008166729 0.0008671708 0.005215214 0.0009292774 0.00090896216 0.0009890622 0.0030008522 0.00091534696 0.0007272858 0.00074876193 0.0018829331 0.0007812663 0.00095946004 0.003133772 0.0016710741 0.0012148517 0.0006570531 0.0004904681 0.0021789554 0.000671564 0.00083234464 0.0074551147 0.0014139412 0.0009699079 0.0007684967 0.0007185793 0.0015764631 0.0033851005 0.00067794876 0.0028365888 0.001420326 0.001171319 0.0006709836 0.00078823155 0.0067220246 0.005193738 0.002402423 0.002947452 0.0023763033 0.017256351 0.0030850153 0.0025887429 0.0022097183 0.0021238138 0.002654332 0.001333841 0.0014969434 0.009112839 0.0020947922 0.001415102 0.012865355 0.0046672826 0.0017337612 0.004072336 0.0023258054 0.005477571 0.012949518 0.0056998776 0.0022329357 0.0053434903 0.0016971937 0.0041779755 0.002660717 0.005634869 0.0037873422 0.0028946323 0.0015532457 0.0013013367 0.0006651792 0.0015526653 0.0022416422 0.0024262208 0.0017296982 0.0006912988 0.005286027 0.0011852495 0.008098818 0.00075224455 0.001789483 0.0008039033 0.0010999255 0.0012293626 0.0029091432 0.0006953619 0.0015526653 0.0020239789 0.012069578 0.016011316 0.001956068 0.0015387348 0.0019038288 0.0009582992 0.00074702065 0.0007307684 0.0014743065 0.004518111 0.001708222 0.0011144363 0.0023763033 0.0019357527 0.0005757921 0.012442217 0.0033415677 0.013066186 0.002137164 0.001600261 0.0018237287 0.016089095 0.00083176425 0.049500708 0.0013233932 0.018181564 0.001933431 0.0011689973 0.004139086 0.00061874435 0.0012874062 0.00083582726 0.0015985196 0.002325225 0.0014261303 0.0014557325 0.002064029 0.000987321 0.00042255712 0.00049685285 0.0012090474 0.0014748869 0.00093101873 0.0009304383 0.0030130413 0.0018986049 0.00062512915 0.00086659036 0.0013825976 0.0046963044 0.0005310986 0.00044635497 0.0016060653 0.0008509186 0.00062338787 0.0004138506 0.0017581395 0.00041617232 0.00043706803 0.00050555944 0.0017697482 0.0005084616 0.00044113107 0.0010558123 0.0013849194 0.0012572235 0.0013007562 0.0014383195 0.0035632942 0.0008445338 0.0005264551 0.0010709037 0.0015010064 0.0008300229 0.0015718197 0.0007696576 0.011283088 0.0029178497 0.004859407 0.0036979553 0.0024401513 0.0014029129 0.0033705896 0.003227222 0.004557 0.0027094735 0.000870073 0.002609058 0.005132212 0.00084221206 0.003580127 0.0025231536 0.0023414772 0.0010204058 0.0011324298 0.00071799883 0.0025753928 0.00041965494 0.0011248842 0.00077836413 0.0032307047 0.0014841738 0.0012810214 0.002006566 0.0025579797 0.001712285 0.00076385326 0.0006901379 0.003556329 0.0010796102 0.0005264551 0.0006524096 0.0026990257 0.0017523351 0.00084337295 0.00049801375 0.026915379 0.004128058 0.0013779541 0.0056331274 0.008365238 0.00060713565 0.00078358804 0.0015091326 0.0066639814 0.0026241494 0.0014864956 0.0015265456 0.003487257 0.0010796102 0.003910395 0.0025341818 0.0053162095 0.0022044943 0.0019903136 0.0020222377 0.009506375 0.0026589755 0.003993397 0.06744604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007453478 0.0 5.780367e-05 4.4151548e-05 0.00031980826 0.00017834902 0.00030818942 0.00013100229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005184321 4.7056255e-05 0.00032590813 2.5851892e-05 0.0003598932 0.00058587943 0.0006762158 0.00042989664 3.1370837e-05 2.7304246e-05 2.904707e-05 2.3528128e-05 0.00017631572 7.23272e-05 4.9380018e-05 0.00028408034 0.011604886 0.00026665212 0.00037035014 0.00031487024 0.0010869413 0.0022424338 0.0009321205 0.0004949621 0.00012170723 0.00012780711 0.00014494488 0.00023063374 0.00055276573 0.000545504 0.00024602868 0.00094344886 0.0028727553 0.000105731335 0.00015598277 0.00014523535 0.0009829529 0.0005196521 0.00082522724 0.00040956368 4.8218135e-05 6.826061e-05 4.6184843e-05 4.7346726e-05 5.6641788e-05 6.3032145e-05 7.900803e-05 0.00011793111 0.007749758 0.0005100666 0.000520233 0.0003866165 0.0017503764 0.0012278197 0.0014529345 0.0009588438 0.0005539276 0.00032765095 0.00053591846 0.00021204361 0.0002933754 0.00030179907 0.0006419403 0.0010180998 0.01181141 0.0009440298 0.000773233 0.0005823938 0.004297514 0.0016036887 0.001705644 0.0009852767 0.0004371584 0.00055363716 0.0005266234 0.00044471063 0.0005768748 0.0006692445 0.0009388013 0.0011093076 0.021706294 0.0028370274 0.0018810882 0.0016524878 0.0109214075 0.0040108194 0.0037639195 0.0024980481 0.005271753 0.0017646095 0.0016751445 0.0016484213 0.0025939033 0.0022523098 0.0036172317 0.009240454 0.083664276 0.01091037 0.0077195494 0.010633842 0.019212604 0.028731909 0.00963317 0.018509375 0.05529865 0.00814596 0.005784724 0.008015539 0.022219555 0.0073326426 0.024186043 0.049424753 0.090314314 0.018373143 0.0120864855 0.0135068875 0.025845502 0.03887108 0.012869595 0.027294079 0.0663255 0.010942322 0.010983278 0.009054553 0.029271895 0.01240949 0.030947039 0.056104127 0.0006730206 0.00032155108 0.000317194 0.0002608427 0.00027129962 0.00026752352 0.00022598621 0.00021640067 0.00034566014 0.00025038575 0.00034827436 0.0001705063 0.00032213202 0.00021030079 0.00027042822 0.00028756598 2566.0 11.511302 29538.0 0.017841425 0.0010833503 0.0013203331 0.0009479315 0.0046380935 0.0038255807 0.0007109486 0.0023698288 0.0031484866 0.0011849144 0.00088022207 0.002674521 0.0026406662 0.0014218972 0.0036563072 0.00064323924 0.01052881 0.0023698288 0.006330828 0.002674521 0.001997427 0.0012526237 0.0007448033 0.004875076 0.001895863 0.008666802 0.0022005553 0.0034870335 0.0024036835 0.0009817862 0.0009140768 0.0008125127 0.0041641276 0.017435169 0.024104543 0.03172185 0.0143882455 0.021091476 0.021226894 0.0073803235 0.0053151874 0.020820638 0.0008125127 0.0021328458 0.012289255 0.016791929 0.01557316 0.020278962 0.028878056 0.008632948 0.018078407 0.02220868 0.023969125 0.008802221 0.012593946 0.016317964 0.0057552983 0.00389329 0.0020651363 0.003216196 0.006567811 0.0042656916 0.0057552983 0.033076037 0.0026406662 0.032839056 0.008023563 0.017773716 0.017672151 0.047599703 0.0067032296 0.008023563 0.014794502 0.027354594 0.007921998 0.0049766405 0.023732143 0.009817862 0.026779065 0.03771413 0.01117205 0.0008463674 0.034701064 0.019737288 0.05010495 0.01794299 0.005450606 0.004434965 0.007109486 0.005789153 0.0015234613 0.0009140768 0.001557316 0.0008125127 0.0017604441 0.0010494955 5.871848 1.0 0.0 0.0 7.0 1722844.0 1945600.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1479739000.0 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 14.0 0.0 6.0 0.0 6.0 0.0 1471488.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472512.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4199343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5929317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 323690.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1471968.0 0.0 8752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1789128.0 8752.0 1933312.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1688816.0 0.0 0.0 0.0 0.0 24.0 1688996.0 64.0 1688904.0 0.0 0.0 2436.0 1478656.0 0.0 0.0 0.0 0.0