Input: 0.021202857 0.005951121 0.004168122 0.009739792 0.00435801 0.0041837026 0.005554791 0.0044381847 0.004106449 0.005853743 0.004317111 0.007636742 0.0042687464 0.0044183847 0.0064019836 0.004071068 0.004062304 0.0037682212 0.0036981087 0.0054158643 0.0037919166 0.0037175843 0.004414814 0.0038503436 0.003974988 0.0037231024 0.0037750376 0.0045423796 0.0042502442 0.003709794 0.004107747 0.0038289204 0.003906823 0.0037769852 0.0037552374 0.003709794 0.0038230775 0.0037039514 0.0039324663 0.0040872977 0.004373266 0.0037919166 0.0037120662 0.0038208056 0.003729919 0.003745175 0.0039168857 0.0037448504 0.003962978 0.0037847755 0.0038561863 0.004020431 0.0036526653 0.0035598313 0.0036974594 0.003644226 0.0036948626 0.0036805805 0.0036221535 0.0037127153 0.004050294 0.003760431 0.0037133647 0.003813989 0.003680256 0.003779582 0.003728296 0.0037669227 0.0036539638 0.0036711672 0.0036848004 0.0037325157 0.0037474472 0.003709145 0.0037396569 0.0036929152 0.0059813084 0.0037529652 0.003755562 0.0036682459 0.0037805557 0.0036279962 0.0037110925 0.0037750376 0.0037172597 0.0036679213 0.003745175 0.003655262 0.0036935643 0.0036682459 0.0036591573 0.0036299438 0.003601055 0.0036091697 0.0036328651 0.0037412797 0.0036039762 0.003776336 0.0036020286 0.0036880462 0.0036932398 0.0039168857 0.003644226 0.003762703 0.0036912921 0.0037591325 0.003656236 0.0036133893 0.00371304 0.003793864 0.0037562111 0.0037529652 0.003719532 0.003637734 0.0037237518 0.0037454995 0.0038298941 0.0036228027 0.003700381 0.003649744 0.003595212 0.0036133893 0.00361696 0.0036357865 0.0036020286 0.0035987827 0.0036185829 0.0035780086 0.0036877217 0.0036253994 0.0036088452 0.0036701935 0.0035530147 0.003644875 0.0036198813 0.0036062484 0.0036455244 0.0035883957 0.0035981333 0.0036124156 0.00360073 0.0037156367 0.0036302684 0.0036555866 0.0035835267 0.0035403555 0.0036260486 0.0036490948 0.0035754119 0.0035799562 0.0036341634 0.0035750873 0.0035572345 0.0036130648 0.0035981333 0.0036111171 0.0035802808 0.0036455244 0.0036260486 0.0036192322 0.0036244257 0.0036338388 0.0036023532 0.003586448 0.0036140387 0.0036662985 0.0035981333 0.0036536392 0.0035627526 0.003622478 0.0035653494 0.0036133893 0.0035598313 0.0035942383 0.003596186 0.0036565606 0.003866898 0.0036189074 0.0036640263 0.0036516916 0.003654613 0.003654613 0.0036529899 0.003672141 0.003595212 0.0036526653 0.0036039762 0.0036886954 0.0036494194 0.0036451996 0.0036520162 0.0036591573 0.0037279713 0.0036143633 0.0036510425 0.0036477963 0.0036039762 0.0036416291 0.003672141 0.0035890448 0.0036899939 0.0036731148 0.003654613 0.0036341634 0.0037256991 0.0036432522 0.0036477963 0.0035939137 0.0036263731 0.0036812297 0.003693889 0.0036688952 0.0036328651 0.003645849 0.003660131 0.003627347 0.003650393 0.0036510425 0.0036260486 0.0035536638 0.0036490948 0.0036536392 0.0036221535 0.0036581834 0.0036990824 0.0036370847 0.0035981333 0.0036276716 0.003711417 0.0036117665 0.004092816 0.0035971596 0.0036640263 0.0037094695 0.0036659737 0.0038071724 0.0035737888 0.0036468226 0.0035935892 0.0036484457 0.00360073 0.0036146878 0.0035893694 0.003588071 0.0036127402 0.0036195568 0.0036156615 0.0035659985 0.003555287 0.00360495 0.0036487703 0.0035935892 0.003560805 0.0038662488 0.0055904966 0.0105363475 0.009903974 2.9066294e-05 1.6400534e-05 2.7280097e-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 0.0015780237 5.8782112e-05 1.5913389e-05 9.418129e-06 1.6238153e-07 0.0 4.871446e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041132863 0.0004051419 6.9824055e-05 6.755072e-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 0.0048371833 0.00062029745 0.00037022989 0.00014874148 2.9228675e-06 3.5723936e-06 2.2733414e-06 8.119076e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048764795 0.0008542892 0.0005089037 0.00040481714 2.2733414e-06 0.0 4.384301e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004636155 0.00057255727 0.0005319619 0.0001907983 2.8903913e-05 2.4681993e-05 2.6305806e-05 4.368063e-05 2.127198e-05 1.3152903e-05 1.0230036e-05 2.8903913e-05 3.085249e-05 2.0947216e-05 5.618401e-05 8.200267e-05 0.001961244 0.00031209728 8.833555e-05 8.52503e-05 0.00049104175 0.00028286863 2.354532e-05 2.3870085e-05 1.8511493e-05 3.4100121e-06 2.435723e-06 4.5466827e-06 4.5466827e-06 2.435723e-06 1.5588626e-05 5.845735e-06 0.0011576179 0.00014387003 9.012175e-05 8.768602e-05 0.00039507425 6.6414046e-05 3.7834896e-05 1.5101482e-05 4.871446e-06 4.384301e-06 2.11096e-06 2.5169136e-05 1.2990522e-05 1.2016233e-05 0.00028010813 0.00065764517 0.0009986464 0.001348741 0.00031437064 0.00020378882 0.0005701215 0.0001398105 9.905273e-05 0.0001450067 7.794313e-06 4.7090643e-06 3.7347752e-06 8.281458e-06 9.742892e-06 2.5656282e-05 0.00020784835 0.00056849775 0.0021962102 0.00149732 0.0007208116 0.00052254373 0.0006542352 0.00018868734 0.00016887678 8.606221e-05 9.807844e-05 1.8836257e-05 1.1853851e-05 0.00023756418 0.0002039512 8.297696e-05 0.00017423538 0.0014516908 0.0019217854 0.00019907975 0.0003869552 0.00018235446 0.0008078481 0.00017082537 0.00019599451 8.508792e-05 2.6305806e-05 4.465492e-05 3.085249e-05 0.00034733408 0.00022083888 0.00028952627 0.00035999983 0.0030444912 0.0021622723 0.0004889308 0.00048405933 0.00025169135 0.00085315254 0.00023837609 0.0003471717 0.00021905267 8.184029e-05 8.2489816e-05 7.3883595e-05 0.00033905264 0.00044021633 0.0002698781 0.00039945854 0.003245195 0.00088822696 8.7848406e-05 0.00013022998 0.00018738829 0.00014614337 0.00014338289 0.00029050055 0.00017569681 0.00010343703 3.0202964e-05 4.1894433e-05 8.801079e-05 4.6278736e-05 3.6698224e-05 5.1150182e-05 0.00021336932 0.0009390524 0.00017910682 0.00019907975 0.00020703644 0.00020866026 0.00019924213 0.00019047353 0.00014192145 0.000121623765 6.6414046e-05 7.8430276e-05 0.000120811856 6.2354506e-05 7.64817e-05 8.2652194e-05 0.000119675184 0.0007779699 0.00023902561 0.00032882259 0.00037542608 0.00019713117 0.00022733414 0.00052027043 0.0003621108 0.00018608922 0.000105223226 0.00011821375 0.000105547995 0.00011155611 0.00010262513 0.000105223226 0.00012811902 0.057475753 0.057625305 0.05727083 0.057222113 0.05741194 0.0572416 0.05751521 0.057202466 0.057421356 0.057269853 0.057402194 0.057305902 0.057295024 0.057408366 0.057177298 0.05728057 13977.0 6.5238605 91184.0 0.013631778 0.01116424 0.0100456225 0.00901474 0.010144323 0.008290928 0.015156168 0.018797157 0.02520179 0.010418494 0.008619933 0.011537111 0.010868135 0.010495262 0.011076504 0.009870153 0.013302772 0.0100456225 0.01272153 0.013445341 0.009223109 0.009234076 0.008587033 0.00904764 0.00970565 0.010769433 0.009332778 0.009266976 0.020815056 0.013368573 0.0103526935 0.010539129 0.008477365 0.010297859 0.010374627 0.01098877 0.008301895 0.008510265 0.010210125 0.008400597 0.010791367 0.009563081 0.008312862 0.009859186 0.0087405685 0.009343744 0.010100456 0.0087405685 0.008707668 0.008488331 0.009212143 0.012897 0.008663801 0.008543165 0.0107475 0.009595982 0.008093525 0.008455431 0.009036673 0.008411563 0.008773469 0.008247061 0.008225127 0.008312862 0.008159326 0.011361643 0.008784436 0.011526145 0.010791367 0.017854009 0.009299877 0.009870153 0.008883137 0.012743464 0.008499298 0.008861204 0.012140288 0.011087472 0.012217056 0.011942885 0.0109668365 0.008806369 0.012129321 0.012184155 0.013511143 0.00949728 0.012217056 0.0089708725 0.008718635 0.009102474 0.008587033 0.008751536 0.008027724 0.008641867 0.007852254 0.008499298 6.543282 2.0 38.0 0.0 56.0 3080764.0 9297920.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1398176100.0 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 10.0 0.0 5.0 1.0 5.0 1.0 6015488.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 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 -2915328.0 0.0 157184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5016375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9873767 0.0 5.6887407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9129984.0 0.0 159744.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1987.0 9285828.0 148463.0 9134080.0 0.0 0.0 8176.0 3074048.0 24.0 9293824.0 28.0 9291028.0 0.0 0.0 0.0 0.0 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: 0.19451211 0.016543731 0.007019035 0.0069622844 0.0050255097 0.0067615826 0.0039732084 0.004470119 0.011415448 0.003249643 0.0025703702 0.0024440663 0.0028215938 0.003268675 0.0026281585 0.009012906 0.0075450125 0.0032645224 0.002403926 0.0018146232 0.0018876373 0.0046372553 0.0015713585 0.0018232742 0.0056279623 0.004345891 0.003923725 0.003004302 0.0028209018 0.001366158 0.0011512685 0.0016959322 0.0094658695 0.0018360777 0.0030520551 0.0022921558 0.013152213 0.0021430133 0.0015499042 0.0018921358 0.004563549 0.0010879434 0.00088654936 0.0013689264 0.000819418 0.00088516524 0.0010713337 0.001029117 0.0049933284 0.000974789 0.0012682293 0.004900244 0.00194854 0.0009128483 0.0007990018 0.0008938162 0.0037365183 0.0017308821 0.0008644029 0.003086659 0.0009820559 0.00079934776 0.0007145685 0.001511148 0.010383217 0.010063131 0.001866875 0.0028658868 0.00754086 0.008838156 0.0019381589 0.0018011278 0.06576383 0.007899702 0.0010491873 0.001202136 0.009784224 0.0055995868 0.0009817098 0.0011910629 0.0041531483 0.0010125072 0.0011550748 0.0017924769 0.0023392169 0.003926493 0.0019461177 0.0023772812 0.0026842167 0.00077477907 0.0006290971 0.0014087207 0.00265861 0.00222018 0.0015775872 0.002611203 0.0026561876 0.0034946378 0.0012959123 0.0025741768 0.0029492818 0.0069359858 0.003498098 0.0016772462 0.0023686301 0.003350686 0.00054293365 0.00075886137 0.0023194926 0.0016769002 0.0036413579 0.0034115887 0.004179447 0.0006536658 0.0044936496 0.003823374 0.010475262 0.0071353037 0.0014073366 0.0012644229 0.002203224 0.0013132142 0.00067442807 0.0011007469 0.0011609575 0.0014672012 0.00078169984 0.0010529937 0.0028925317 0.0015471359 0.0006266748 0.011778096 0.0031434093 0.005434527 0.000782738 0.000728756 0.0029655457 0.015330521 0.0025914786 0.040206846 0.0008889716 0.01478655 0.0006768503 0.0007201051 0.0047265333 0.0005214793 0.0005965695 0.0016083847 0.0008426025 0.0007685504 0.00048549133 0.00071006996 0.0013408973 0.000501063 0.0005038313 0.0004944883 0.0010848291 0.00046369093 0.0005263238 0.0005955314 0.0014893475 0.0007246036 0.0005792676 0.0006055665 0.000756093 0.0006474371 0.0005664642 0.0007429436 0.0012716897 0.00066992955 0.00067788846 0.0005903408 0.0006872315 0.00055781327 0.00059345516 0.00073982927 0.0016903956 0.0005502004 0.0010097389 0.0005993378 0.00068134884 0.0005609276 0.0007183749 0.0013979935 0.0019049392 0.0008671712 0.001566168 0.0006252907 0.0007429436 0.00056334987 0.0007252956 0.00078723644 0.0058698426 0.004317862 0.0018679132 0.0038738954 0.0036320149 0.0006986507 0.0028617342 0.004743835 0.0026766038 0.002813635 0.0009713287 0.002457216 0.02608746 0.0006027982 0.0016506013 0.0021606614 0.0029887303 0.0011481541 0.001602502 0.0011346586 0.0007055715 0.0006775424 0.0011509224 0.0012301651 0.0029171004 0.0011727228 0.0008083448 0.0014630486 0.0006654311 0.00045573205 0.0005574672 0.0008159576 0.002504969 0.0005114442 0.00054016535 0.0009644079 0.0009360328 0.00050556153 0.0007041873 0.0013256716 0.013587528 0.0041628373 0.001757527 0.004107471 0.0030060322 0.00062044617 0.00057684537 0.0006754662 0.0039399886 0.0011917548 0.0012114791 0.0011495382 0.00081422745 0.0006346337 0.0019578831 0.0016056163 0.0026727975 0.0014512833 0.0018564939 0.0011485001 0.0015000748 0.0014035301 0.002913986 0.03637136 0.0024813896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00030532724 3.288672e-06 1.7308801e-06 1.384704e-06 1.7308801e-06 0.0 2.769408e-06 0.0 2.9944224e-05 0.0 0.0 0.0 5.538816e-06 2.769408e-06 0.0 0.0 0.0011754406 2.7001728e-05 6.6292705e-05 1.1077632e-05 2.6309375e-05 1.5404832e-05 9.173664e-06 7.442784e-06 1.7654977e-05 8.308224e-06 5.711904e-06 3.807936e-06 7.615872e-06 3.807936e-06 2.769408e-06 3.0117311e-05 0.020292837 0.0005036861 0.002082595 0.00024336173 0.00032869412 0.00015404832 0.00016910698 0.0001803577 0.00018191549 0.00041489193 0.00019316621 0.00016668375 0.00021670618 0.0001500673 0.00017949226 0.0007742226 0.028339699 0.0010411243 0.0034515478 0.0004969356 0.00050974416 0.0003392525 0.0013651451 0.00086647854 0.00027105582 0.0010333353 0.00023539968 0.00022189882 0.00023834218 0.00024111159 0.00023055321 0.000466126 0.014089882 0.00032402074 0.0013402203 0.00019403164 0.00081126345 0.00049866654 0.0062334184 0.0028609715 0.0001168344 0.00013795114 0.00013448938 7.321622e-05 0.00077335717 0.00011700749 9.8140896e-05 0.00020078209 0.019182477 0.0011572663 0.0020343033 0.0007998397 0.002224527 0.0010482209 0.009317673 0.004704705 0.00032661707 0.0002629207 0.00032384766 0.00031121224 0.0015799473 0.00028317198 0.00035794597 0.0011048208 0.04088373 0.0063672154 0.0025694913 0.0019441245 0.0020190715 0.0018982561 0.0039543686 0.0023764982 0.0010755688 0.0008412077 0.0007444515 0.00083341874 0.0020505735 0.0014615551 0.0011735366 0.0067300075 0.027215146 0.005619648 0.0020491888 0.0028142377 0.0038948262 0.0025269117 0.0070211417 0.0038584778 0.0007323353 0.00064077176 0.00062484766 0.00071796903 0.0015906787 0.0011752675 0.0007627988 0.006816725 0.0076129297 0.0011892876 0.0014021859 0.00060373096 0.0007555291 0.00053172634 0.0010007948 0.00082009094 0.00062640547 0.0005024745 0.0016351624 0.0004792807 0.00092498225 0.00051234046 0.00055474706 0.001408417 0.01875824 0.0045932364 0.0031277002 0.0021956214 0.012871689 0.0023932878 0.0011943072 0.002818219 0.010703935 0.0009550996 0.0008136867 0.001058087 0.0044082054 0.0015839282 0.0037246807 0.004305218 0.09333286 0.023927338 0.024776336 0.016900485 0.108102284 0.019989934 0.008916109 0.020654937 0.08473039 0.007796749 0.004319757 0.007854907 0.05057389 0.010671048 0.025540866 0.035336435 0.0045819855 0.001353202 0.0013731071 0.0012088466 0.0045660613 0.0011640168 0.0010814539 0.001306122 0.003691621 0.0005627091 0.00042233474 0.00069875625 0.0023533045 0.0006466568 0.0013992434 0.001949317 0.0043735877 0.0027749469 0.0028097376 0.002694634 0.002694634 0.0027025961 0.0028753378 0.0027327132 0.0026253988 0.0026108595 0.0024379445 0.0025693183 0.0025817805 0.0026446115 0.002468754 0.0027136737 10512.0 14.299562 150317.0 0.025991738 0.00029271474 0.00029936733 0.0005854295 0.016804487 0.0006719134 0.0010644172 0.0012307324 0.002135487 0.0005388612 0.00031267255 0.0012307324 0.0009779333 0.0015300998 0.007850077 0.0019625193 0.006845533 0.0045503834 0.0037321127 0.0074775307 0.0037587231 0.0028340109 0.0024614648 0.0030535469 0.004264321 0.009094114 0.0012573429 0.006113746 0.0022951495 0.0005322086 0.0015633628 0.010045437 0.040328108 0.047439743 0.0030402415 0.011655368 0.013824118 0.010624214 0.0039449963 0.0020889188 0.020556558 0.0051424657 0.00055881904 0.0013172163 0.006053873 0.003911733 0.002913842 0.0018161618 0.006246798 0.0016165837 0.004051438 0.008961062 0.007949866 0.010391373 0.021494575 0.0158199 0.0026810009 0.00034593558 0.0014835314 0.0018560775 0.005368654 0.0066526076 0.011495706 0.024208838 0.0014303107 0.041106462 0.01084375 0.024681173 0.022725306 0.07198787 0.019279256 0.011808379 0.010398026 0.03784003 0.0012440376 0.0021155293 0.020097528 0.016591603 0.037374347 0.037720285 0.011848294 0.00073178683 0.040454507 0.040048696 0.053007975 0.018181575 0.007590625 0.0045636888 0.0039250385 0.007437615 0.0008914494 0.00037254603 0.0011309433 0.0015234471 0.00027940952 0.0015700153 5.625237 2.0 28.0 0.0 5.0 2889856.0 2932736.0 1.0 0.0 503.0 1.0 1.0 1.0 1.0 0.0 1524890800.0 0.0 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 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 1882112.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 -512.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 788992.0 0.0 0.0 0.0 0.0 83968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58368.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 -1879552.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.435877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.811038 0.0 0.0 0.0 0.0 6.252101 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5177903 0.0 0.0 0.0 -5.56942 0.0 0.0 0.0 0.0 -6.4488993 0.0 3.5673163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353.0 0.0 0.0 -7952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 788832.0 0.0 0.0 0.0 0.0 83604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142144.0 0.0 0.0 0.0 -2085.0 0.0 0.0 0.0 0.0 -1879073.0 0.0 8312.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 2.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -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 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -3.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 1.0 -1.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -1.0 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 1.0 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 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 -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 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 2.0 -2.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 2.0 -1.0 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 1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 2656048.0 8312.0 2912256.0 83604.0 2822144.0 57984.0 2831872.0 7952.0 2924544.0 56.0 2196944.0 0.0 0.0 0.0 0.0 40.0 1909408.0 208.0 1909200.0 0.0 0.0 4336.0 1909448.0 0.0 0.0 0.0 0.0


Input: 0.05659708 0.008287973 0.0061681545 0.005649057 0.005753497 0.004963477 0.004196206 0.005416394 0.0050420654 0.0056159673 0.0037484593 0.0044536865 0.004951068 0.003190068 0.004322361 0.0046336125 0.0050441334 0.0037567317 0.0049376255 0.00415898 0.004354417 0.0031848978 0.004106243 0.003849797 0.005074121 0.0033451768 0.0031786934 0.0029253494 0.0041403673 0.0034444463 0.0037929236 0.0037856854 0.006162984 0.003817741 0.0034889109 0.0030173804 0.004891093 0.0041693207 0.0038466947 0.0037215739 0.00472978 0.0038921933 0.0033389723 0.0030980369 0.0043657916 0.0037164034 0.0037298463 0.0035809418 0.005506357 0.0039480324 0.0031042413 0.0028994977 0.0036812455 0.0030773557 0.0026947544 0.0028560674 0.0041641505 0.0033213934 0.003528205 0.003334836 0.004015246 0.0032200557 0.0035044216 0.0034589232 0.00659522 0.0039459644 0.0036202362 0.003225226 0.0041548437 0.003223158 0.0035313072 0.0030773557 0.0050038053 0.003779481 0.0037153694 0.0035861123 0.0041310606 0.0031290588 0.0035509542 0.0034609912 0.005162016 0.003619202 0.0036388491 0.003331734 0.0039294194 0.0033917094 0.003367926 0.0035488862 0.0046460214 0.0036481556 0.003817741 0.0035085578 0.004106243 0.003383437 0.0036853817 0.0037960259 0.0059044696 0.0036285087 0.0033441426 0.002955337 0.004014212 0.0030566747 0.0032717586 0.0030328913 0.0049593407 0.0031621484 0.0031921363 0.0030566747 0.0035778398 0.0028384884 0.0030856282 0.003205579 0.0045033214 0.003294508 0.003223158 0.0031393992 0.0038942613 0.0033255296 0.0032893377 0.0036305767 0.0046181018 0.0032986442 0.0034785701 0.0031569782 0.0040369616 0.0031931703 0.0034640934 0.0033482788 0.008642655 0.004586046 0.0040214504 0.0035323412 0.004374064 0.0034268673 0.0030246188 0.003403084 0.0045436495 0.003833252 0.0029625753 0.0031931703 0.003728812 0.0028033305 0.0028488291 0.0029853247 0.0052271616 0.0032117832 0.0034827064 0.003026687 0.0036657345 0.0031776594 0.003311053 0.003280031 0.0045405473 0.002846761 0.0030421978 0.002706129 0.0035157963 0.0032190217 0.002989461 0.003152842 0.0050038053 0.0034113564 0.0032738268 0.0027991943 0.0037712085 0.0030101421 0.0030515043 0.003191102 0.004139333 0.0030039377 0.0031218203 0.0030246188 0.0036481556 0.0028322842 0.0029274174 0.0030421978 0.004674975 0.0031125138 0.00383532 0.0028529654 0.0035643969 0.00314974 0.002989461 0.0031249225 0.00425825 0.003150774 0.0033400063 0.0031817956 0.0036584963 0.0031828296 0.0033255296 0.0033586195 0.0067058643 0.0040555745 0.00372571 0.0033431086 0.004118652 0.0032459071 0.0033069167 0.0032272942 0.0043275314 0.0033369043 0.0031073436 0.0030876964 0.00365436 0.0029873927 0.0030773557 0.0028022965 0.0042530796 0.0032738268 0.0030773557 0.003008074 0.0037101991 0.0030101421 0.0029346559 0.002941894 0.00397802 0.0031104456 0.0027309465 0.0026554603 0.0035426817 0.0029543028 0.0035902485 0.002882953 0.004964511 0.0032469414 0.0033927434 0.0029791202 0.0038136048 0.0030690834 0.0031983405 0.0028974297 0.004443346 0.0054339734 0.0034599572 0.0031373312 0.0037960259 0.0030752877 0.0032562478 0.003208681 0.0046149995 0.0033203594 0.003422731 0.0030566747 0.003746391 0.0030825261 0.0033193254 0.0032366007 0.004351315 0.0030349593 0.0031828296 0.0028715783 0.004013178 0.0030970029 0.0042427387 0.0045084916 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099097274 0.062034503 0.062461164 0.055320248 0.06061574 0.059579115 0.054959342 0.054473132 0.060499754 0.053175535 0.052138392 0.05296376 0.056428846 0.05056481 0.056665998 0.05387922 4028.0 5.7030783 22972.0 0.017107783 0.01040397 0.00935922 0.00866272 0.013538221 0.012493471 0.01179697 0.011535782 0.012624064 0.00970747 0.008619188 0.008619188 0.013842939 0.010578095 0.01179697 0.009968657 0.016672472 0.011927564 0.008706251 0.0074873758 0.009794532 0.008445064 0.0077920947 0.00831447 0.0102733765 0.008445064 0.009620408 0.008793314 0.011492251 0.008923908 0.009620408 0.009272157 0.018065471 0.0108828135 0.01040397 0.009141563 0.010839283 0.008836845 0.010665158 0.008401533 0.014191189 0.011579314 0.009751001 0.008967439 0.0114487205 0.00935922 0.011622845 0.009576877 0.014757096 0.009576877 0.009968657 0.008967439 0.0120581575 0.00935922 0.009576877 0.009925126 0.013712346 0.009272157 0.010534564 0.009576877 0.011187533 0.009794532 0.01040397 0.010665158 0.01802194 0.010969876 0.009751001 0.008140345 0.013102908 0.008227407 0.00935922 0.00831447 0.015410065 0.009315689 0.008880376 0.00866272 0.011318127 0.008009751 0.009881595 0.008009751 0.01314644 0.008009751 0.008706251 0.008706251 0.0114487205 0.009446283 0.008096813 0.008009751 0.010926345 0.008923908 0.0120581575 0.008488595 0.011405189 0.00901097 0.010099251 0.008836845 6.5546265 0.0 0.0 0.0 14.0 967064.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.02813428 0.0060524503 0.0042334003 0.0065337294 0.0045754667 0.0050408356 0.004212187 0.004784949 0.0041909735 0.0057050805 0.006134652 0.0048605218 0.0045118267 0.0043938267 0.004880409 0.0047557806 0.0051482287 0.0036553352 0.004209535 0.0043156026 0.01049003 0.0034909314 0.0054584746 0.0044640964 0.004623197 0.0038409524 0.0036699194 0.005970248 0.0056228787 0.004033199 0.0038329975 0.0052821385 0.0057315975 0.0038992893 0.0036924586 0.0033689542 0.004226771 0.0038992893 0.004115401 0.0040782774 0.004163131 0.0038436041 0.003533358 0.0045927027 0.004155176 0.0037110203 0.0038489075 0.006338831 0.0035426388 0.004473377 0.0037587506 0.004441557 0.0033636508 0.0034021002 0.003132955 0.0035002122 0.0033000107 0.0046430845 0.0042015803 0.0053073294 0.0032562579 0.0031157192 0.0030892023 0.003167427 0.0051800488 0.0044455347 0.0041405917 0.0037839415 0.004049109 0.0041843443 0.0040610414 0.0036871552 0.0040743 0.004897645 0.003518774 0.0039788396 0.003927132 0.0031303035 0.0046152417 0.0042347265 0.004065019 0.0034153585 0.0037428404 0.0044879615 0.004314277 0.0040636933 0.0038078066 0.00415385 0.0038847052 0.0039470196 0.0033490667 0.003756099 0.0032841004 0.0037096946 0.004792904 0.003231067 0.0030945058 0.0037123463 0.0042638946 0.004286434 0.0038794018 0.004637781 0.0035638523 0.0028001696 0.0036871552 0.0046497136 0.0035121448 0.0033583476 0.003231067 0.003509493 0.0049851504 0.0046046353 0.004131311 0.0040066824 0.0036579869 0.0038913344 0.0044389055 0.004473377 0.0038966376 0.0038847052 0.0035850657 0.0036115826 0.0034935828 0.0027802822 0.0036102566 0.0031276518 0.0039549745 0.0026874735 0.0028982817 0.003729582 0.003984143 0.0037574247 0.0025177663 0.0034644145 0.0026225075 0.0041352883 0.00335437 0.0043328386 0.003917851 0.0067869644 0.002528373 0.0033556959 0.002610575 0.0024103734 0.0030825732 0.0026569793 0.004082255 0.0025177663 0.0027338779 0.002821383 0.0030308655 0.0033066398 0.004441557 0.003582414 0.0026052715 0.0035810883 0.0038131098 0.0033079656 0.0046589943 0.002977832 0.0029247985 0.003075944 0.0025495864 0.0037110203 0.0023467331 0.00287972 0.0034405494 0.003117045 0.0032270895 0.0026450467 0.0035439648 0.0027047093 0.0027060353 0.0022552502 0.005392183 0.0027007319 0.0034644145 0.00289563 0.004719983 0.0025482606 0.0034325945 0.0030799215 0.0032628872 0.002265857 0.0029340794 0.003852885 0.0029234726 0.0028452482 0.003197921 0.003419336 0.002501856 0.0031395843 0.0040530865 0.00436731 0.0029407085 0.0033742576 0.0032403478 0.0034498302 0.003091854 0.004269198 0.0034352462 0.0028929783 0.0026967544 0.0024501486 0.0028730908 0.0031965952 0.003009652 0.0024912495 0.0029102142 0.003460437 0.0030481014 0.0037030654 0.0025641706 0.002838619 0.0031528426 0.003026888 0.0028850234 0.0039854688 0.0035863917 0.003075944 0.0029658994 0.0047451737 0.0032085278 0.0039006153 0.0033172464 0.0029022591 0.0026874735 0.0025469346 0.002471362 0.0037971998 0.0031462135 0.0047093765 0.0040862323 0.0033928193 0.002740507 0.0029009334 0.023000637 0.002838619 0.0025535638 0.0034286168 0.002952641 0.0027378553 0.0036380992 0.0031196966 0.0026543275 0.003977514 0.0026901253 0.003911222 0.0036540094 0.0034975605 0.004148547 0.0033265273 0.003794548 0.0028518774 0.003296033 0.008103522 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010622608 7.971938e-06 7.3076108e-06 6.643282e-06 3.653805e-05 1.46152215e-05 0.000103635204 5.7796555e-05 2.0594176e-05 5.314626e-06 4.650298e-06 2.657313e-06 4.650298e-06 2.657313e-06 1.46152215e-05 8.636267e-06 0.0010449883 0.0010609322 5.3810585e-05 1.9929847e-05 5.978954e-06 6.643282e-06 7.3076108e-06 1.9265519e-05 2.2587159e-05 1.7272534e-05 6.709715e-05 5.978954e-05 4.185268e-05 5.1153274e-05 3.7202382e-05 0.00020527742 0.0023856026 0.0010064573 0.00012821535 3.05591e-05 0.0002212213 0.00010297087 0.00073076104 0.00042051976 4.6502977e-05 7.174745e-05 5.7132227e-05 5.7796555e-05 1.7272534e-05 2.5908801e-05 3.05591e-05 0.00010894983 0.001688058 4.849596e-05 0.00017073235 2.1258504e-05 7.041879e-05 5.4474916e-05 0.00025310906 0.00016741072 4.982462e-05 3.388074e-05 1.7272534e-05 1.6608206e-05 2.1258504e-05 1.3950893e-05 2.6573129e-05 6.776148e-05 0.0044071535 0.000174054 0.00046502976 0.0001388446 0.00016674638 0.00013685161 0.00044509993 0.0002936331 0.00016076743 0.00012887968 0.00014880953 0.00019265519 0.00023849384 0.00024115115 0.000106956846 0.0007181388 0.0035109748 0.00086761266 0.00046702274 0.00026240965 0.0005148544 0.00027636054 0.0010323661 0.00067495747 0.00024048681 0.00016143176 0.0001461522 0.00018667623 0.0002451371 0.00023849384 0.00011825043 0.0005806229 0.003968697 0.0016202965 0.00039593963 0.00023185056 0.00043579933 0.0002637383 0.0006384194 0.0004284917 0.00038996068 0.0002451371 0.00028167517 0.00027370322 0.00034545068 0.0002889828 0.00031223428 0.00076397747 0.0010821907 9.8320575e-05 6.311118e-05 0.00012688669 0.000104299535 0.00018003295 0.00014482356 0.0001554528 0.00014947385 8.038372e-05 5.3146257e-05 3.653805e-05 3.1887754e-05 2.7237458e-05 3.388074e-05 0.00035342263 0.0019624257 0.0007785927 0.00029629038 0.00038663903 0.0007320897 0.00074736925 0.0002823395 0.00051884033 0.001566486 0.00015279549 0.00010562819 0.00019199085 0.00088289223 0.000346115 0.00063044747 0.001303412 0.010087824 0.004497502 0.0043161404 0.0035129676 0.004181946 0.004056388 0.002933009 0.002837346 0.0050874255 0.0012522587 0.0011751966 0.0017544909 0.0032791242 0.0023670015 0.0032651732 0.005260151 0.07117679 0.068019904 0.06085047 0.054961868 0.059488602 0.056214128 0.055153195 0.053671077 0.04871054 0.05109614 0.047217794 0.047764536 0.046783987 0.049519025 0.06603622 0.04905001 5578.0 6.9801006 38935.0 0.016745858 0.006883267 0.0077822013 0.0069603184 0.0098112235 0.011198151 0.014305894 0.008398613 0.00991396 0.006575061 0.0065236934 0.008141775 0.007653782 0.0072171567 0.009015025 0.012893284 0.008398613 0.010350584 0.008989342 0.009965327 0.008218826 0.0072428407 0.005778862 0.008449981 0.006677796 0.010145114 0.008321562 0.011069732 0.007473995 0.006908951 0.0064980094 0.0075767306 0.00737126 0.012122769 0.0108385775 0.011249518 0.011018364 0.009580069 0.012071401 0.0103249 0.011018364 0.014126108 0.0072428407 0.009554385 0.010684474 0.006600745 0.011377937 0.010145114 0.011095416 0.008218826 0.008706819 0.013047387 0.010453319 0.008860922 0.009734172 0.0107358415 0.0098882755 0.010247849 0.00803904 0.009194812 0.007884936 0.009297547 0.013612431 0.0073969434 0.0074226274 0.01682291 0.014434313 0.016899962 0.013792218 0.022807242 0.009117761 0.009066393 0.011968666 0.016463336 0.0108385775 0.010299217 0.012636445 0.012251188 0.018646462 0.016514704 0.015333247 0.013432644 0.015435983 0.016001027 0.01769616 0.015230512 0.011634776 0.011609092 0.0098369075 0.012045717 0.011506356 0.004725825 0.0055990755 0.005213818 0.007140105 0.0037498395 6.511092 0.0 7.0 0.0 12.0 754240.0 102400.0 0.0 0.0 8.0 0.0 1.0 1.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 29696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1194406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7230997 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 5.848808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3720.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37732.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 29544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 29544.0 69632.0 0.0 0.0 2976.0 751264.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.3898112 0.008300781 0.0036621094 0.0032552083 0.009033203 0.0038248699 0.0025227864 0.0020345051 0.0081380205 0.0007324219 0.0013834635 0.0006510417 0.0034993489 0.0017903646 0.0007324219 0.0028483074 0.023763021 0.0020345051 0.0013834635 0.0013834635 0.0017903646 0.0026041667 0.00032552084 0.0016276041 0.002766927 0.0006510417 0.0007324219 0.00056966144 0.0021972656 0.00056966144 0.00056966144 0.00056966144 0.0038248699 0.0009765625 0.00056966144 8.138021e-05 0.0035807292 0.0050455728 0.0022786458 0.0011393229 0.0009765625 0.00048828125 0.00056966144 0.00024414062 0.00056966144 0.007080078 0.0057779946 0.00040690103 0.012369792 0.0065104165 0.0036621094 0.0063476562 0.0021158855 0.0028483074 0.0021158855 0.0014648438 0.0026041667 0.001546224 0.00056966144 0.0013020834 0.0016276041 0.0026855469 0.0012207031 0.0011393229 0.009114583 0.0017089844 0.0029296875 0.005859375 0.0039876304 0.0072428384 0.002766927 0.0028483074 0.0026041667 0.0026041667 0.00040690103 0.0009765625 0.001546224 0.0021158855 0.0017903646 0.0014648438 0.0048828125 0.0008951823 0.0022786458 0.0052083335 0.002766927 0.0032552083 0.001546224 0.0013020834 0.0017903646 0.0030110676 0.0009765625 0.0013020834 0.0011393229 0.0022786458 0.0012207031 0.0057779946 0.0017089844 0.008300781 0.0028483074 0.005452474 0.008626302 0.017496744 0.0045572915 0.0021972656 0.00390625 0.009277344 0.0032552083 0.0006510417 0.010416667 0.0033365886 0.009602864 0.008219401 0.0043945312 0.0 0.013427734 0.0075683594 0.01570638 0.011149089 0.0008951823 0.0017903646 0.0023600261 0.0017089844 0.0009765625 8.138021e-05 0.0010579427 0.0011393229 8.138021e-05 0.00024414062 0.0025227864 0.00048828125 0.00024414062 0.005126953 0.001546224 0.0037434895 0.00016276042 0.00032552084 0.0012207031 0.0056966147 0.0006510417 0.012207031 0.0012207031 0.0017903646 0.00024414062 0.0016276041 0.0023600261 0.00024414062 0.00040690103 0.0 0.0009765625 0.0009765625 8.138021e-05 8.138021e-05 0.0006510417 0.0006510417 0.00016276042 0.0 0.0006510417 0.00032552084 0.00024414062 0.00024414062 0.0006510417 0.0010579427 0.00040690103 0.0010579427 0.00040690103 0.0007324219 0.00024414062 0.0007324219 0.00056966144 0.00032552084 0.00032552084 0.0 0.0006510417 8.138021e-05 0.00040690103 0.00016276042 0.001546224 0.00032552084 0.00032552084 0.00024414062 0.00081380206 0.00024414062 0.00032552084 0.00024414062 0.0011393229 0.00040690103 0.00016276042 0.00048828125 0.00056966144 0.00032552084 0.0006510417 0.0006510417 0.006591797 0.0006510417 0.0011393229 0.004638672 0.0007324219 0.00048828125 0.0008951823 0.0017903646 0.0011393229 0.0014648438 0.00048828125 8.138021e-05 0.025553385 0.00040690103 0.00040690103 0.0014648438 0.00081380206 0.00024414062 0.00024414062 0.00016276042 0.00056966144 8.138021e-05 0.00048828125 0.00024414062 0.00048828125 0.00016276042 0.00032552084 0.00056966144 0.00081380206 8.138021e-05 0.00032552084 0.0 0.0016276041 8.138021e-05 0.00056966144 0.00032552084 0.0013020834 0.00024414062 0.00040690103 0.00040690103 0.008626302 0.0007324219 0.00056966144 0.0017903646 0.0032552083 0.00016276042 0.00016276042 0.00024414062 0.0024414062 0.00016276042 0.0008951823 0.00056966144 0.0012207031 8.138021e-05 0.0010579427 0.00040690103 0.001546224 0.00024414062 0.00016276042 0.00032552084 0.0036621094 0.0017089844 0.0022786458 0.024495443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0633434 0.0062144888 0.00390625 0.0015536222 0.0016867898 0.0013760653 0.0026189631 0.0015980114 0.002175071 0.0012428977 0.00044389206 0.00044389206 0.0015536222 0.00013316762 0.0007990057 0.0018199574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18714489 0.006258878 0.010653409 0.019353693 0.022460938 0.009898793 0.05144709 0.0267223 0.0033735796 0.0017755682 0.0017755682 0.002175071 0.011363637 0.0019087358 0.0020419033 0.0052823154 0.07164418 0.008345171 0.010653409 0.0042613638 0.009898793 0.009321733 0.03564453 0.02006392 0.0024414062 0.0012428977 0.0008877841 0.0011097301 0.0026633523 0.00057705963 0.0013760653 0.0016867898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033824574 0.0053710938 0.003950639 0.0032404119 0.0040394175 0.0057262075 0.005060369 0.005193537 0.0053710938 0.0008877841 0.00075461646 0.0009765625 0.005859375 0.00031072443 0.0044833096 0.005859375 0.047274504 0.012739702 0.0042169746 0.0087890625 0.009366122 0.009632457 0.0075017754 0.008833452 0.016557174 0.0013316761 0.0024414062 0.0021306819 0.022194602 0.0016867898 0.008611506 0.018510299 0.02121804 0.006747159 0.0014648438 0.005149148 0.005193537 0.0057705967 0.0037730823 0.0040838066 0.010697798 0.0008877841 0.0016867898 0.0016424005 0.0075017754 0.0009765625 0.004305753 0.009810015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122.0 17.0 2074.0 0.0038572806 0.00096432015 0.0014464803 0.0 0.013018322 0.0 0.0 0.0 0.0 0.00096432015 0.00096432015 0.0 0.0 0.040983606 0.025554484 0.0014464803 0.017357763 0.017839924 0.006750241 0.005785921 0.0043394407 0.007714561 0.004821601 0.00096432015 0.005303761 0.0028929606 0.0019286403 0.0 0.005303761 0.0 0.0019286403 0.0028929606 0.0014464803 0.006268081 0.006268081 0.019286403 0.008196721 0.0014464803 0.0033751205 0.0028929606 0.0014464803 0.011089682 0.0 0.0 0.0024108004 0.0 0.004821601 0.004821601 0.009161041 0.0019286403 0.012054002 0.018322082 0.011571842 0.004821601 0.0 0.00048216007 0.005303761 0.00048216007 0.0038572806 0.00096432015 0.00096432015 0.0 0.00048216007 0.028929604 0.00096432015 0.040501446 0.016393442 0.026036644 0.039054967 0.08244938 0.016393442 0.008196721 0.005785921 0.040983606 0.0033751205 0.0024108004 0.04918033 0.015429122 0.041947927 0.033269044 0.013500482 0.0 0.06509161 0.034715526 0.05834137 0.021215044 0.0038572806 0.009161041 0.009643202 0.008196721 0.0038572806 0.0 0.00096432015 0.00048216007 0.00048216007 0.0 5.3733354 0.0 0.0 0.0 2.0 12288.0 28672.0 1.0 4.0 49.0 1.0 1.0 0.0 0.0 0.0 1302829400.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 6144.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 -2560.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.128414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.19977565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.706734 -4.977041 3.42826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6087.0 -2420.0 1128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167.0 10016.0 300.0 16640.0 1128.0 20480.0 0.0 0.0 0.0 0.0 484.0 24576.0 84.0 5168.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 4416.0 0.0 0.0 252.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.05670791 0.008304202 0.0061657275 0.005654939 0.0057492224 0.0049607637 0.0041971705 0.0054270006 0.005056083 0.005633181 0.003750619 0.004472769 0.004951439 0.003172485 0.0043204646 0.004640614 0.0050467583 0.0037703046 0.0049358974 0.0041577993 0.004350511 0.0031787015 0.0041080676 0.0038469748 0.0050726603 0.0033475829 0.0031621242 0.0029321138 0.004151583 0.0034346138 0.0037848097 0.0037910263 0.0061667636 0.0038200365 0.0034812377 0.0030274333 0.004896526 0.0041681603 0.0038324697 0.0037226449 0.004729717 0.0038935984 0.0033330778 0.003099959 0.0043722684 0.0037288612 0.0037216088 0.0035807015 0.0055223205 0.003936078 0.0031113562 0.0029062117 0.003673949 0.0030699128 0.0026855262 0.0028761653 0.0041733407 0.0033154644 0.0035268252 0.003362088 0.0040044594 0.0032222169 0.003497815 0.0034532633 0.006595702 0.0039443667 0.00361282 0.0032263612 0.0041577993 0.0032263612 0.0035444386 0.0030636962 0.0050001345 0.003773413 0.003700887 0.003585882 0.004128789 0.0031258613 0.0035641242 0.0034656962 0.005164872 0.0036304335 0.0036511552 0.00333515 0.003935042 0.0033693407 0.003361052 0.0035351138 0.0046468307 0.0036459747 0.0038096758 0.00351232 0.0041194647 0.0033900624 0.003686382 0.0037910263 0.005911887 0.003626289 0.0033403304 0.0029569797 0.004013784 0.0030512633 0.0032667685 0.0030295055 0.0049845935 0.0031631603 0.0031942427 0.0030564438 0.003575521 0.0028285056 0.0030833818 0.0031932066 0.0045100674 0.0032937066 0.0032263612 0.003145547 0.0038904902 0.0033299695 0.0032957788 0.003626289 0.004618856 0.0032885263 0.0034781294 0.0031766293 0.004037614 0.0031952788 0.0034677684 0.003348619 0.008654398 0.0046074595 0.0040065316 0.0035278613 0.0043670884 0.0034283975 0.0030201809 0.0033942068 0.0045432225 0.0038345417 0.0029559436 0.0031890622 0.0037288612 0.002796387 0.0028440468 0.002983918 0.0052363616 0.0032087478 0.0034905623 0.0030284694 0.0036594437 0.003182846 0.0033009592 0.0032646963 0.004554619 0.0028399024 0.003035722 0.0027093561 0.0035206086 0.0032211808 0.0029942787 0.0031527993 0.0050136037 0.0034045675 0.0032667685 0.0027974232 0.0037785934 0.0030087838 0.0030543716 0.0031880261 0.004138114 0.0030015314 0.003122753 0.0030129282 0.0036449386 0.002835758 0.0029145004 0.0030295055 0.00466548 0.0031123923 0.0038449026 0.002860624 0.0035672325 0.003147619 0.002984954 0.0031206808 0.004248975 0.0031414025 0.0033403304 0.0031755932 0.0036470108 0.0031849178 0.0033278973 0.0033506912 0.006722104 0.00406248 0.0037267893 0.0033372222 0.004112212 0.0032512273 0.0033040675 0.0032263612 0.0043287533 0.0033310056 0.0031186086 0.0030937428 0.003650119 0.0029818458 0.0030740572 0.0027943149 0.004240686 0.0032688407 0.003084418 0.0029953148 0.0037164283 0.0030253613 0.0029352221 0.0029445468 0.0039806296 0.0031144642 0.0027300776 0.0026347581 0.0035288974 0.0029414385 0.0035765572 0.002886526 0.0049555833 0.003235686 0.0033973148 0.0029828819 0.003812784 0.0030771655 0.0031921705 0.0029062117 0.004436506 0.005453939 0.003461552 0.003136222 0.0037993148 0.0030875262 0.0032439746 0.00318699 0.004615748 0.0033185726 0.0034159643 0.0030336499 0.00373715 0.0030813096 0.003312356 0.003247083 0.0043463665 0.003035722 0.0031921705 0.0028678768 0.004010676 0.0030895984 0.004224109 0.00451732 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922384 0.062030397 0.06244396 0.05533145 0.060589943 0.0595589 0.054942276 0.054483056 0.060463853 0.053171806 0.052117925 0.052928444 0.056433067 0.050534256 0.05666657 0.053819906 4019.0 5.7036576 22923.0 0.017144352 0.010426209 0.009422851 0.008593989 0.013479911 0.012476552 0.011778563 0.011473193 0.0125638 0.00972822 0.008463115 0.008593989 0.013872529 0.010513458 0.011822187 0.009989967 0.016751735 0.011865811 0.008768486 0.007547005 0.009815469 0.0085067395 0.007808751 0.008419491 0.010251712 0.008463115 0.009684596 0.008855734 0.011560442 0.008986607 0.009640972 0.0092047285 0.01801684 0.010862453 0.010338961 0.00911748 0.010949701 0.008855734 0.01073158 0.008332243 0.014265149 0.011604066 0.00972822 0.008942983 0.011429569 0.009379226 0.011691314 0.009597348 0.014788641 0.009597348 0.009946343 0.008986607 0.012127558 0.009335602 0.009553723 0.009815469 0.013741657 0.009248354 0.0105570825 0.009553723 0.011124198 0.009859093 0.010382585 0.010687956 0.017929591 0.010993325 0.009684596 0.00820137 0.013087292 0.008244994 0.009379226 0.008332243 0.015443005 0.009291978 0.008942983 0.008724862 0.01134232 0.008026873 0.009902718 0.007896 0.013174541 0.008026873 0.008724862 0.00881211 0.011385945 0.009422851 0.00820137 0.007896 0.010906077 0.00881211 0.011996685 0.008593989 0.011298696 0.008986607 0.009946343 0.008768486 6.554677 0.0 0.0 0.0 14.0 965174.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0