Input: 0.35134056 0.0029962712 0.0024691494 0.0023692737 0.002968528 0.0025523792 0.0030406604 0.0028353604 0.0030240146 0.0021806196 0.0023137874 0.0031016956 0.0025301846 0.0030462092 0.0020086116 0.0032681553 0.002524636 0.0022749468 0.0022638494 0.002158425 0.0021029385 0.0019420277 0.0019142844 0.0018310547 0.0020751953 0.0020419033 0.0022361062 0.0027965198 0.0022305576 0.0021084873 0.0030684038 0.0022139116 0.006736062 0.0022416548 0.0020585493 0.0019919656 0.0037120471 0.002380371 0.0021473279 0.0020585493 0.002574574 0.0022971414 0.0018477007 0.001936479 0.0020141602 0.0031405361 0.002080744 0.0017977628 0.005398837 0.002557928 0.0022139116 0.0018199574 0.0020530007 0.0019642224 0.002064098 0.0032958984 0.0023748225 0.0021473279 0.0018532493 0.0017089844 0.0023415305 0.0020086116 0.0020363547 0.0016590465 0.003334739 0.003368031 0.0018809926 0.0022804954 0.0032626064 0.003922896 0.002158425 0.0020696467 0.0023137874 0.0022915928 0.0022527522 0.002347079 0.004350142 0.0036010742 0.0026078657 0.0024968928 0.0040616123 0.0032792524 0.0026744495 0.0036454634 0.002874201 0.0030184658 0.0026245117 0.0022028142 0.0022361062 0.001953125 0.0022749468 0.0033624822 0.0030517578 0.0025357334 0.0036454634 0.0033902256 0.0022583008 0.0048384233 0.0022361062 0.002985174 0.004350142 0.006985751 0.0029463335 0.0035511365 0.0023581765 0.004999334 0.0025468306 0.0026633523 0.0032737039 0.0026189631 0.004205877 0.0043279473 0.0030684038 0.0020918413 0.003556685 0.0045998315 0.0037841797 0.0034235173 0.0028076172 0.0031904741 0.0024081143 0.0044222744 0.0023859197 0.0019142844 0.0020530007 0.004205877 0.0020862927 0.0020474521 0.0021806196 0.0024746982 0.0021806196 0.002935236 0.0021695225 0.0022361062 0.0020530007 0.001858798 0.002491344 0.0049660425 0.002208363 0.0046442207 0.0018809926 0.0024636008 0.0022472034 0.0020141602 0.0023248845 0.0033735796 0.0020696467 0.0016923384 0.0020030627 0.0018144087 0.0024636008 0.0021362305 0.0024247603 0.002940785 0.0019642224 0.0015647195 0.0020363547 0.00209739 0.0022416548 0.0023748225 0.0019975142 0.0023581765 0.001936479 0.0020918413 0.0018920898 0.0018310547 0.001953125 0.0020696467 0.0021306819 0.0018920898 0.0019087358 0.001825506 0.0021306819 0.0017866655 0.0019198331 0.0018754438 0.001858798 0.0018366034 0.002064098 0.0019975142 0.0021306819 0.002890847 0.0020862927 0.0018033114 0.002114036 0.0020086116 0.0021806196 0.003284801 0.0019475763 0.0017811168 0.0020751953 0.0018366034 0.0024247603 0.0032626064 0.002335982 0.0052545723 0.0025024414 0.002064098 0.0028852983 0.0028131658 0.0024691494 0.0032737039 0.0022915928 0.0027077415 0.002347079 0.0028686523 0.001825506 0.0026578037 0.0023248845 0.001969771 0.0022139116 0.002158425 0.00209739 0.0019919656 0.0021084873 0.0022915928 0.0032182173 0.0024746982 0.0032237659 0.0020474521 0.0020862927 0.002114036 0.0033125444 0.0022472034 0.0022971414 0.0026799983 0.001953125 0.0017367277 0.0024414062 0.0021195845 0.002080744 0.0024025657 0.0032293147 0.0022472034 0.0018088601 0.002363725 0.0026411577 0.001936479 0.0022472034 0.0022749468 0.0023859197 0.0018310547 0.0021029385 0.001858798 0.002574574 0.0020696467 0.0029130415 0.002064098 0.0023859197 0.001747825 0.0020141602 0.0016368519 0.002208363 0.0017977628 0.002080744 0.005077015 0.19428572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005329241 8.370535e-06 4.185268e-05 4.7433037e-05 1.953125e-05 2.2321428e-05 0.00018694196 5.580357e-05 0.0 0.0 0.0 0.0 0.0 0.0 2.7901785e-06 0.0 0.014913504 0.0001311384 0.00011160714 0.00087611604 0.00016462053 0.0001311384 0.00017578126 0.00011160714 5.859375e-05 3.6272322e-05 6.4174106e-05 0.00010044643 6.138393e-05 7.2544644e-05 7.533482e-05 5.859375e-05 0.009726563 5.301339e-05 0.00022321429 0.00010044643 0.00029575892 0.00013950893 8.649554e-05 0.00012276786 0.00013671875 5.301339e-05 2.7901786e-05 3.0691965e-05 0.00015904018 6.138393e-05 7.2544644e-05 0.00013950893 0.009196429 0.0001171875 0.00012834821 0.00010044643 0.00016741072 0.00017299107 0.00015066964 0.00017020089 0.00017299107 0.00018136161 0.0001311384 0.00017299107 0.00011160714 0.00015625 0.00015345983 0.00014508929 0.025449218 0.0003794643 0.0005329241 0.000499442 0.00096819195 0.00060825894 0.0022265625 0.0012918527 0.0003097098 0.0002873884 0.00027064732 0.00022321429 0.00034040178 0.0002985491 0.00030133929 0.0002985491 0.027304687 0.00026785713 0.0028543526 0.00023995536 0.0009375 0.0007282366 0.0073493305 0.00374721 0.0002734375 0.00025669642 0.0002204241 0.00018973215 0.0002845982 0.00029575892 0.00037109375 0.0003934152 0.021487165 0.0003515625 0.0015652901 0.0006473214 0.0019893972 0.0015457589 0.0023660713 0.0010212053 0.00051339285 0.00034877233 0.00015066964 0.00015625 0.0006947545 0.00017299107 0.00022879464 0.0010463169 0.00858817 0.00010602678 0.0011607143 0.00011160714 0.0007840402 0.00049107143 0.00234375 0.0015597098 0.0007645089 0.000103236605 5.0223214e-05 0.00019252232 0.00021763393 0.00013392857 0.0002845982 0.0002511161 0.008825335 0.0003934152 0.000390625 0.00042131697 0.0008789062 0.000859375 0.001609933 0.0010658482 0.00018136161 0.00030691965 0.00016462053 0.00034040178 0.0007310268 0.0004017857 0.00030691965 0.00026506698 0.010666853 0.0004157366 0.0012276786 0.0011300223 0.0009737723 0.0007421875 0.0020479911 0.0014732142 0.00056640623 0.00043247768 0.00043526787 0.0005998884 0.0007310268 0.0005747768 0.00043247768 0.00040736608 0.0023046874 0.00012555804 0.00038225445 0.00011997768 0.0006166295 0.00018694196 0.00015066964 0.00016183035 0.00053013396 8.0915175e-05 8.0915175e-05 9.207589e-05 0.00018973215 0.00015345983 0.00020647321 0.00033203125 0.0016071429 5.0223214e-05 0.00043247768 0.0006501116 0.00042410713 0.00032924107 0.00047154017 0.0003097098 0.00022879464 0.00010044643 8.0915175e-05 0.00027622769 0.00039899553 0.00017857143 0.00010044643 7.533482e-05 0.016922433 0.0031612723 0.0038085938 0.0033398438 0.0065904018 0.0061830357 0.0039285715 0.0045089284 0.009268973 0.0028850446 0.002000558 0.0028962053 0.0061021205 0.0037695311 0.0045535713 0.005795201 0.032603238 0.030373884 0.028334264 0.029416854 0.029874442 0.034899555 0.034257814 0.032647878 0.028225446 0.030638952 0.028094308 0.02876953 0.03419085 0.031821985 0.02954241 0.027737165 594.0 6.560606 3897.0 0.009751091 0.008211445 0.006671799 0.007185014 0.0076982295 0.007185014 0.011034129 0.0076982295 0.010007698 0.007185014 0.006415191 0.0048755454 0.008981268 0.006671799 0.010007698 0.006415191 0.033358995 0.009494483 0.012060559 0.0053887605 0.0069284067 0.005901976 0.010007698 0.013600205 0.007185014 0.0056453682 0.006671799 0.006671799 0.011547344 0.0061585833 0.0074416217 0.006671799 0.009751091 0.013600205 0.005901976 0.011034129 0.010777521 0.0074416217 0.011547344 0.011034129 0.008468052 0.012830382 0.008468052 0.010264306 0.013856813 0.008468052 0.008468052 0.010520914 0.017962536 0.008981268 0.011034129 0.014370028 0.007185014 0.008211445 0.009237875 0.011034129 0.007185014 0.0076982295 0.0061585833 0.009751091 0.009237875 0.008981268 0.007185014 0.013600205 0.007954837 0.017192712 0.0076982295 0.011803952 0.014113421 0.030279702 0.011803952 0.00872466 0.0112907365 0.01642289 0.010264306 0.00872466 0.020528613 0.0112907365 0.015909674 0.02181165 0.008468052 0.0074416217 0.015139851 0.020528613 0.017192712 0.012830382 0.009494483 0.012573775 0.010264306 0.013343598 0.0112907365 0.008981268 0.0041057225 0.010264306 0.0041057225 0.007185014 6.461359 0.0 0.0 0.0 6.0 180224.0 184320.0 1.0 0.0 34.0 1.0 1.0 0.0 0.0 0.0 787986200.0 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 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 14.0 0.0 5.0 1.0 5.0 0.0 12288.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7875032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.049188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8028455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7736461 0.0 6.9746957 0.0 0.0 0.0 0.0 0.0 0.0 -6.640136 0.0 4.122971 0.0 0.0 0.0 0.0 -6.97909 0.0 0.0 0.0 0.0 0.0 0.0 -320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39009.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8088.0 0.0 25601.0 0.0 0.0 0.0 0.0 0.0 0.0 -8560.0 0.0 16704.0 0.0 0.0 0.0 0.0 -61222.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 17200.0 16704.0 159744.0 0.0 0.0 0.0 0.0 320.0 180224.0 56.0 16560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.05673495 0.008301943 0.00617696 0.0056648916 0.0057519637 0.004960019 0.004201245 0.0054223323 0.0050481283 0.0056244647 0.003753444 0.0044749016 0.004955873 0.0031698514 0.0043225246 0.0046397173 0.0050356896 0.0037689926 0.004928922 0.004161855 0.004353622 0.0031750342 0.004103807 0.0038456994 0.0050730063 0.0033574717 0.0031594855 0.002930402 0.004152526 0.003435215 0.0037886875 0.0037907609 0.006170741 0.003814602 0.003483934 0.0030309502 0.004907154 0.0041680746 0.0038456994 0.0037202735 0.004725753 0.0038902722 0.0033263743 0.0030941812 0.0043712435 0.003726493 0.003726493 0.0035834454 0.005518734 0.0039483206 0.0031055836 0.0029024146 0.0036746643 0.0030693035 0.0026878433 0.0028630246 0.0041680746 0.0033087526 0.0035212508 0.0033585082 0.0040084417 0.0032310095 0.0035057021 0.0034507636 0.0066029932 0.0039452105 0.0036207621 0.0032185705 0.0041566724 0.0032247899 0.0035513116 0.0030620473 0.004999409 0.003780395 0.0037016151 0.0035907014 0.004127648 0.003124242 0.0035564944 0.0034683854 0.0051704445 0.003631128 0.0036591156 0.0033408864 0.0039265524 0.003374057 0.003356435 0.003535763 0.0046490463 0.003643567 0.003807346 0.0035015559 0.0041152094 0.003388569 0.0036881396 0.0037866144 0.0059136697 0.0036332011 0.0033439964 0.00295528 0.0040084417 0.003048572 0.0032683262 0.0030382061 0.0049766046 0.003160522 0.0032040584 0.0030475354 0.0035792992 0.0028308907 0.0030786325 0.0031936925 0.0045039253 0.0032890576 0.0032289363 0.0031460102 0.0038913088 0.0033367402 0.0032911308 0.0036249086 0.0046241684 0.0032942407 0.003481861 0.003172961 0.0040385025 0.0031874732 0.0034735682 0.0033429596 0.008645049 0.0045972173 0.004013625 0.003523324 0.0043691704 0.0034393612 0.0030226575 0.0033844227 0.0045381323 0.0038436262 0.0029594263 0.0031916194 0.0037296028 0.0027997936 0.0028443662 0.0029832677 0.005229529 0.0032030218 0.0034984462 0.0030309502 0.0036591156 0.0031791807 0.003310826 0.0032621068 0.0045412425 0.00284022 0.0030423524 0.0027096113 0.0035212508 0.003226863 0.0029811945 0.0031480833 0.0050108116 0.0034124104 0.0032703993 0.0027946106 0.0037741757 0.0030122916 0.0030568645 0.003183327 0.004140087 0.0030008894 0.0031200957 0.0030133284 0.0036446035 0.0028350372 0.0029179633 0.0030319868 0.004663558 0.003111803 0.00383948 0.0028609515 0.0035668602 0.0031522296 0.0029843042 0.0031159495 0.0042478913 0.0031449734 0.0033357036 0.0031760707 0.003652896 0.0031936925 0.0033315574 0.003345033 0.0067201266 0.0040633804 0.0037223466 0.0033398499 0.0041120998 0.0032527775 0.0033014966 0.0032237533 0.0043318537 0.0033315574 0.0031107664 0.0030838156 0.0036466767 0.0029863773 0.0030858887 0.0027894278 0.004242708 0.003278692 0.0030858887 0.0029936333 0.0037130176 0.0030247306 0.002933512 0.002948024 0.0039825276 0.0031097298 0.0027210137 0.002637051 0.0035253973 0.0029459507 0.0035741162 0.002886866 0.0049610557 0.0032278998 0.0033999714 0.0029646093 0.0038156386 0.0030744863 0.0032040584 0.002908634 0.0044458774 0.0054534297 0.0034632026 0.0031314981 0.0037886875 0.003082779 0.0032465581 0.0031968025 0.004610693 0.0033211915 0.0034165566 0.0030413158 0.0037296028 0.0030869253 0.0033118625 0.0032403385 0.0043474026 0.0030299136 0.0031905829 0.0028630246 0.0040063686 0.003092108 0.0042250864 0.004519474 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 0.09922591 0.062012237 0.06246627 0.05532678 0.060595132 0.059564605 0.054943834 0.05448513 0.060476825 0.053156756 0.052116368 0.052941933 0.056414906 0.050534256 0.056668125 0.053810567 4023.0 5.7039523 22947.0 0.01721358 0.010458884 0.009325838 0.008715737 0.013422234 0.012463503 0.01189698 0.011461193 0.012594239 0.009718046 0.008454264 0.008628579 0.0139016 0.010546041 0.011809822 0.009979518 0.016734214 0.011940558 0.008715737 0.0075391117 0.009805203 0.008497843 0.007844162 0.008323528 0.010371726 0.008454264 0.00958731 0.008890051 0.011591929 0.009020787 0.009674467 0.009151523 0.018041573 0.010938249 0.010371726 0.009107945 0.010851092 0.008802894 0.010676777 0.008279949 0.01420665 0.011591929 0.009718046 0.00893363 0.011417614 0.009325838 0.011679087 0.009543731 0.014773173 0.00958731 0.009979518 0.009107945 0.012027716 0.009369416 0.00958731 0.009761625 0.013683706 0.009238681 0.010502462 0.009500152 0.011112563 0.009805203 0.010415304 0.010676777 0.017954417 0.010981828 0.009674467 0.008192793 0.013117183 0.008236371 0.009369416 0.008367107 0.015470432 0.009282259 0.00893363 0.008715737 0.011374036 0.008018478 0.00989236 0.007844162 0.013247919 0.008018478 0.008672157 0.008846472 0.011504772 0.009543731 0.008236371 0.007887742 0.01089467 0.00893363 0.011984138 0.008497843 0.011330457 0.00893363 0.009979518 0.008715737 6.5545053 0.0 0.0 0.0 14.0 964714.0 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: 0.32164064 0.0167693 0.008357159 0.008192214 0.010446448 0.0030789531 0.0042335605 0.00505828 0.007037607 0.0027490654 0.01094128 0.004123598 0.0029140092 0.002364196 0.0020892897 0.011656037 0.0064328127 0.005883 0.0019243457 0.0029689905 0.001979327 0.0024741588 0.0022542335 0.0020343084 0.0023092148 0.002144271 0.0017594018 0.0010996262 0.0010996262 0.0021992524 0.001979327 0.00252914 0.007312514 0.0009896635 0.0010446449 0.0009346822 0.0069276444 0.0017044205 0.0008797009 0.00049483177 0.0033538598 0.0009346822 0.0010996262 0.0017044205 0.0013195514 0.0008797009 0.0038486915 0.0009896635 0.002694084 0.0013745327 0.0012095887 0.0015394766 0.0020892897 0.0007697383 0.0008797009 0.0009346822 0.0010996262 0.0013745327 0.0017044205 0.004453486 0.0024191774 0.0008797009 0.0008797009 0.0018693644 0.008577084 0.0012095887 0.0017594018 0.0013745327 0.0014844952 0.00632285 0.0026391027 0.0014844952 0.00126457 0.0014844952 0.0009346822 0.00049483177 0.0008797009 0.0013745327 0.0016494392 0.0011546074 0.0048933364 0.0018143831 0.0015944579 0.0020892897 0.0009346822 0.0034638222 0.00252914 0.0012095887 0.0010446449 0.0008797009 0.0010996262 0.0009896635 0.00126457 0.0024741588 0.0020892897 0.0019243457 0.0009896635 0.0036837475 0.0012095887 0.0018693644 0.0023092148 0.004288542 0.0039036728 0.0013745327 0.0023092148 0.002694084 0.0025841214 0.00071475696 0.0028040467 0.0018693644 0.0034638222 0.0030789531 0.0023092148 0.0015394766 0.0037387288 0.0029689905 0.0059929625 0.0054431492 0.0028040467 0.0024191774 0.0017594018 0.001979327 0.0009896635 0.00505828 0.00049483177 0.0008797009 0.0013745327 0.0019243457 0.012260831 0.0026391027 0.0016494392 0.0075874203 0.0022542335 0.0028040467 0.00027490655 0.0058280183 0.0032988784 0.0078073456 0.002694084 0.023532 0.0014844952 0.008247196 0.0005498131 0.0014295139 0.010556411 0.0020892897 0.002364196 0.002144271 0.0005498131 0.0018693644 0.0020892897 0.0007697383 0.0009896635 0.00060479436 0.0041785794 0.0008247196 0.0009896635 0.0018143831 0.0017044205 0.00032988784 0.0042335605 0.0035188035 0.0008797009 0.0008247196 0.0013195514 0.0017594018 0.00032988784 0.0008797009 0.0023092148 0.0008247196 0.0009346822 0.00038486914 0.0005498131 0.00060479436 0.0005498131 0.0008797009 0.0032988784 0.00043985044 0.0006597757 0.00032988784 0.0005498131 0.00060479436 0.0008247196 0.0067627006 0.010776336 0.00071475696 0.00038486914 0.022652298 0.00060479436 0.00032988784 0.0011546074 0.00252914 0.0042335605 0.004453486 0.0011546074 0.002364196 0.0006597757 0.0014844952 0.0008247196 0.0014844952 0.0013195514 0.0015944579 0.00027490655 0.0006597757 0.00027490655 0.00043985044 0.00043985044 0.00060479436 0.0014844952 0.0037937101 0.00071475696 0.00021992522 0.00010996261 0.00010996261 0.00027490655 0.00016494392 0.0051132613 0.00021992522 0.0010446449 0.0033538598 0.00038486914 0.00010996261 0.0005498131 0.0025841214 0.0024191774 0.00027490655 0.00038486914 0.0028040467 0.00032988784 0.00060479436 0.00032988784 0.00021992522 0.006102925 0.002364196 0.0015394766 0.0012095887 0.00049483177 0.00032988784 0.00049483177 0.00027490655 0.0028590278 0.0014844952 0.00071475696 0.00126457 0.00032988784 0.00027490655 0.00126457 0.0024191774 0.004013635 0.00071475696 0.0016494392 0.002144271 0.002364196 0.0061579063 0.0036837475 0.04585441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05670166 0.00091552734 0.00039672852 0.00015258789 0.00018310547 0.00018310547 0.00015258789 0.0006713867 0.0018920898 0.00015258789 0.00015258789 0.00018310547 0.00018310547 0.00018310547 0.00018310547 0.00021362305 0.05606079 0.0006713867 0.00033569336 0.00076293945 0.0006713867 0.0009460449 0.00045776367 0.0002746582 0.00061035156 0.00018310547 0.0002746582 0.0002746582 0.00021362305 0.00024414062 0.00024414062 0.0002746582 0.05218506 0.0014038086 0.0009460449 0.00021362305 0.00064086914 0.0002746582 0.001159668 0.0013427734 0.002380371 0.00018310547 9.1552734e-05 0.00021362305 0.00048828125 0.00018310547 0.0005187988 0.0002746582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08151245 0.0014648438 0.0008239746 0.0014648438 0.0014038086 0.0012817383 0.0025024414 0.0079956055 0.015594482 0.00018310547 0.00018310547 0.045196533 0.0009460449 0.00015258789 0.00079345703 0.026000977 0.03591919 0.0004272461 0.0016784668 0.0016479492 0.0025939941 0.001159668 0.007293701 0.0037231445 0.0012207031 0.0026245117 0.00018310547 0.0016174316 0.00021362305 3.0517578e-05 0.0002746582 0.0018920898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08303833 0.0113220215 0.011230469 0.008544922 0.008728027 0.007385254 0.012939453 0.010406494 0.023345947 0.014373779 0.0068969727 0.004211426 0.00869751 0.00869751 0.0076904297 0.022491455 0.06451416 0.015350342 0.014801025 0.011108398 0.019561768 0.018554688 0.010498047 0.015960693 0.044799805 0.016540527 0.009277344 0.005126953 0.011962891 0.011749268 0.011199951 0.03149414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 9.526316 724.0 0.06077348 0.0013812155 0.002762431 0.0013812155 0.03729282 0.002762431 0.002762431 0.0 0.034530386 0.005524862 0.002762431 0.019337017 0.0041436465 0.0041436465 0.020718232 0.0013812155 0.002762431 0.005524862 0.0041436465 0.005524862 0.005524862 0.0 0.0013812155 0.0041436465 0.0013812155 0.01519337 0.0041436465 0.0138121545 0.0013812155 0.0013812155 0.0041436465 0.0041436465 0.005524862 0.0069060773 0.005524862 0.005524862 0.0041436465 0.011049724 0.008287293 0.0041436465 0.002762431 0.008287293 0.002762431 0.0 0.005524862 0.002762431 0.0041436465 0.005524862 0.012430939 0.002762431 0.008287293 0.008287293 0.002762431 0.008287293 0.0041436465 0.0069060773 0.0013812155 0.005524862 0.002762431 0.0041436465 0.019337017 0.0041436465 0.005524862 0.002762431 0.0 0.027624309 0.0041436465 0.016574586 0.016574586 0.04834254 0.0138121545 0.009668509 0.012430939 0.027624309 0.002762431 0.0041436465 0.027624309 0.008287293 0.023480663 0.031767957 0.0138121545 0.0013812155 0.031767957 0.024861878 0.03729282 0.019337017 0.002762431 0.023480663 0.009668509 0.005524862 0.0 0.087016575 0.0013812155 0.0013812155 0.0041436465 0.002762431 5.726943 0.0 0.0 0.0 1.0 18188.0 40960.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1160583700.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 6656.0 1024.0 4096.0 4.0 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 0.0 512.0 0.0 0.0 0.0 0.0 -6248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6087036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1500847 0.0 3.4088125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -6248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 17296.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 32768.0 6144.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 32828.0 0.0 0.0 0.0 0.0


Input: 0.18488137 0.018530203 0.008707724 0.008623591 0.008602558 0.006120646 0.010474508 0.0036387346 0.0053213867 0.004101464 0.0036177016 0.003680801 0.0030077402 0.003701834 0.0020402153 0.0018298839 0.0022295136 0.0019350497 0.001409221 0.005552751 0.0018088508 0.0014933535 0.0020402153 0.0017457514 0.0015774862 0.0011778563 0.001409221 0.0010516574 0.0021033147 0.0026712099 0.0019140164 0.0015985193 0.014239442 0.0016616187 0.0039542317 0.0015143866 0.0017878176 0.0014302541 0.0021033147 0.0012619889 0.001556453 0.0010726906 0.0023557127 0.0021664142 0.0070250714 0.0019560829 0.018067474 0.0037859667 0.023157496 0.010411409 0.0039542317 0.00454316 0.00454316 0.0046272925 0.0024608783 0.004437994 0.002713276 0.003807 0.0015985193 0.0007361602 0.0015354198 0.0071723037 0.0033442706 0.0011568231 0.0013461215 0.0037439005 0.001703685 0.0071933367 0.0030287732 0.001409221 0.004017331 0.0010516574 0.0023346795 0.001998149 0.00113579 0.0029446408 0.0031760053 0.0034704695 0.0017667845 0.0017878176 0.0057630828 0.0014512872 0.0027553425 0.008139828 0.0048376243 0.005426552 0.0029656738 0.0046062595 0.00096752483 0.0010937237 0.0020822817 0.0010516574 0.0010306243 0.0010726906 0.0006940939 0.0057420493 0.0011988895 0.019413596 0.008202928 0.010811038 0.009002187 0.02940434 0.005952381 0.005237254 0.0050479556 0.019897358 0.0010095912 0.004101464 0.016595153 0.01482837 0.02197964 0.029951204 0.004963823 0.0009254585 0.01937153 0.016258623 0.030918729 0.013208817 0.0026712099 0.0056158504 0.002545011 0.008623591 0.0028815414 0.0009044254 0.0009254585 0.0009044254 0.0008413259 0.00096752483 0.0017667845 0.0017667845 0.004248696 0.00088339223 0.0010306243 0.0009885579 0.0037859667 0.0006730608 0.0010095912 0.0011778563 0.0007782265 0.0006099613 0.00088339223 0.0011568231 0.00063099444 0.0011147568 0.0009885579 0.0010726906 0.0010095912 0.0012619889 0.0010726906 0.001283022 0.00096752483 0.0011568231 0.00096752483 0.0010937237 0.0010726906 0.0010306243 0.00096752483 0.0009044254 0.0010095912 0.0009885579 0.0019140164 0.0017878176 0.0009885579 0.0012409558 0.0008413259 0.0010095912 0.0007361602 0.0009044254 0.0009254585 0.0008202928 0.00096752483 0.0009254585 0.0010516574 0.0013881878 0.00096752483 0.0011568231 0.0009885579 0.00096752483 0.00096752483 0.0010726906 0.00079925964 0.0009254585 0.0009254585 0.0009885579 0.0010516574 0.00086235907 0.0007361602 0.0010726906 0.0008202928 0.0009044254 0.0011778563 0.00096752483 0.0009044254 0.0010095912 0.00088339223 0.0024819116 0.0010306243 0.0016616187 0.0007571933 0.0007571933 0.0009044254 0.00086235907 0.0011147568 0.0010516574 0.0008413259 0.0008413259 0.0009885579 0.00079925964 0.0009254585 0.0010516574 0.00086235907 0.00079925964 0.00096752483 0.0009044254 0.00088339223 0.0008413259 0.00096752483 0.0007361602 0.0007361602 0.0009885579 0.0005047956 0.0011147568 0.00088339223 0.0007571933 0.00094649167 0.0009885579 0.0011988895 0.0007571933 0.0010306243 0.00088339223 0.00086235907 0.00088339223 0.00088339223 0.0010516574 0.0006520276 0.0007361602 0.0011778563 0.00096752483 0.0006730608 0.00088339223 0.00079925964 0.0006099613 0.00113579 0.0010095912 0.00096752483 0.0011988895 0.00071512704 0.0018929833 0.00088339223 0.0009885579 0.0010095912 0.0009044254 0.0010095912 0.0009044254 0.00088339223 0.0058051487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015603298 4.340278e-05 0.00046657986 0.00054253475 0.00056423614 0.00031467015 0.003092448 0.0013454861 8.680556e-05 3.2552085e-05 6.510417e-05 3.2552085e-05 0.0 0.0 2.170139e-05 1.0850695e-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 0.054904513 0.001171875 0.003841146 0.0026150174 0.0043836804 0.004112413 0.027289497 0.011230469 0.00013020834 8.680556e-05 0.00031467015 0.000249566 0.00032552084 0.00013020834 0.00013020834 0.0001953125 0.009863282 4.340278e-05 0.0010091146 0.0010742188 0.0008789062 0.0007486979 0.0056315106 0.002701823 3.2552085e-05 0.0 3.2552085e-05 1.0850695e-05 3.2552085e-05 0.0 2.170139e-05 0.00014105903 0.10814887 0.0033962673 0.028309463 0.032291666 0.013715277 0.018630642 0.10263672 0.05626085 0.0014756945 0.0011284723 0.0017361111 0.0010742188 0.002094184 0.0007595486 0.00086805556 0.005251736 0.006174045 0.0001953125 0.0016384549 0.0019314236 0.000998264 0.000998264 0.005870226 0.0031141492 0.0001953125 0.00014105903 0.00011935764 0.00015190973 0.00013020834 0.00014105903 0.00015190973 0.00027126737 0.010492622 0.0007486979 0.0037760416 0.0024956597 0.0014865452 0.0017361111 0.011132812 0.0066297743 0.00069444446 0.0007486979 0.00091145834 0.00071614585 0.0013671875 0.0005533854 0.000499132 0.00045572917 0.006043837 0.0009440104 0.0016927083 0.0015950521 0.0007595486 0.000998264 0.004036458 0.002625868 0.00032552084 0.00050998264 0.00045572917 0.00043402778 0.00047743056 0.000390625 0.00048828125 0.00044487847 0.02672526 0.008669705 0.008376736 0.014778646 0.0066948785 0.007910157 0.01673177 0.010177951 0.0067925346 0.003971354 0.004112413 0.0034071181 0.0038519965 0.0034071181 0.0034505208 0.0042751734 0.03844401 0.01623264 0.01672092 0.02280816 0.012575955 0.014105903 0.027994791 0.019346789 0.012358941 0.010080295 0.009678819 0.008799913 0.008658854 0.008344184 0.008778212 0.009516059 547.0 29.952469 16384.0 0.03479004 0.0014648438 0.007446289 0.0010375977 0.0014648438 0.00048828125 0.0016479492 0.0008544922 0.0006713867 0.0006713867 0.00048828125 0.0008544922 0.016845703 0.003112793 0.03967285 0.0078125 0.0390625 0.020935059 0.007080078 0.008972168 0.009521484 0.010314941 0.0043945312 0.008911133 0.0051879883 0.008239746 0.001953125 0.00012207031 0.0020751953 0.017578125 0.002319336 0.0007324219 0.00036621094 0.0045166016 0.0008544922 0.0126953125 0.0040893555 0.0012207031 0.007080078 0.00030517578 0.00048828125 0.0012207031 0.00048828125 0.0052490234 0.0024414062 0.0057373047 0.0013427734 0.0012207031 0.009765625 0.0015869141 0.0048217773 0.016845703 0.008117676 0.00024414062 0.0048217773 0.009277344 0.00036621094 0.00036621094 0.002319336 0.00012207031 0.00012207031 0.0004272461 0.00030517578 0.0065307617 0.0004272461 0.033813477 0.014038086 0.02331543 0.018188477 0.06072998 0.0126953125 0.00970459 0.008300781 0.04333496 0.00061035156 0.0075683594 0.027282715 0.02746582 0.0435791 0.06536865 0.008728027 0.00018310547 0.045776367 0.04034424 0.057556152 0.027770996 0.00390625 0.013427734 0.001159668 0.01727295 0.0036010742 0.00030517578 0.00036621094 0.00036621094 0.00030517578 0.0004272461 5.4641356 2.0 20.0 0.0 2.0 47544.0 57344.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534795900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 26112.0 512.0 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 -26112.0 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 -1.4182959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3549967 0.0 3.4300547 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 -25988.0 0.0 1432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 34096.0 1432.0 40960.0 0.0 0.0 18872.0 28672.0 12.0 49152.0 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: 0.8366076 0.0014684078 0.00084112684 0.0007555885 0.0017250228 0.00082687044 0.00035640967 0.00024235858 0.0015682025 0.00084112684 0.00035640967 0.00067005015 0.00094092154 0.00082687044 0.00024235858 0.0013686131 0.0071424497 0.00015682026 0.00024235858 0.00018533303 0.00091240875 0.0017392793 0.00019958941 0.00017107664 0.0010407162 0.00015682026 0.00088389596 0.00028512772 0.00038492246 0.00024235858 0.00024235858 0.0003136405 0.0009979471 0.00028512772 0.00045620438 0.00012830748 0.0005132299 0.00042769162 0.00017107664 0.00017107664 0.0008696396 0.000114051094 0.00019958941 0.00017107664 0.00018533303 0.00019958941 0.00037066606 0.00028512772 0.002580406 0.0009836907 0.00084112684 0.0017392793 0.001511177 0.0016679972 0.00074133213 0.00071281934 0.00092666515 0.00095517794 0.00041343522 0.00067005015 0.0010264599 0.0016537409 0.001254562 0.00061302463 0.0022239964 0.0012688184 0.00019958941 0.003207687 0.001439895 0.001839074 0.0003136405 0.0010834854 0.0013401003 0.00058451184 0.00022810219 0.00014256386 0.00044194798 0.00078410126 0.00038492246 0.00027087136 0.0016822537 0.0012117929 0.000627281 0.00096943433 0.0005132299 0.00078410126 0.0012260493 0.00069856294 0.00048471717 0.00074133213 0.00041343522 0.00049897353 0.00025661496 0.0007555885 0.00067005015 0.0011832801 0.00025661496 0.0013401003 0.00025661496 0.00089815236 0.0011547673 0.0028655338 0.0005559991 0.0005132299 0.0020386633 0.0011547673 0.0010834854 0.00027087136 0.0012117929 0.0006415374 0.001325844 0.0010834854 0.00047046077 0.00018533303 0.001511177 0.0011832801 0.0027799953 0.0016109718 0.00037066606 0.00017107664 0.00044194798 0.00061302463 0.00027087136 0.0007698449 0.00029938412 0.00035640967 0.00014256386 0.00022810219 0.0003278969 0.00022810219 0.00017107664 0.00220974 0.00096943433 0.0015539462 0.000114051094 0.00021384581 0.00049897353 0.0017107665 0.00029938412 0.0034785585 0.00034215327 0.00081261405 5.7025547e-05 0.00018533303 0.00027087136 5.7025547e-05 0.00018533303 0.00014256386 0.00022810219 0.00019958941 0.00015682026 7.128193e-05 0.00088389596 0.00012830748 0.00012830748 0.000114051094 0.00027087136 8.553832e-05 7.128193e-05 0.00014256386 0.00027087136 0.00067005015 9.9794706e-05 0.0006415374 0.0003278969 0.00021384581 8.553832e-05 8.553832e-05 0.00084112684 0.00019958941 0.00019958941 0.00012830748 0.00034215327 0.00014256386 0.00021384581 0.00025661496 0.00035640967 0.00012830748 0.00014256386 0.000114051094 0.00027087136 9.9794706e-05 0.00018533303 0.00025661496 0.0009979471 0.00024235858 0.00018533303 0.0003278969 0.00027087136 0.00015682026 0.00021384581 0.00027087136 0.0019246122 0.00067005015 0.00018533303 0.0009979471 0.00047046077 0.00019958941 0.0003136405 0.00042769162 0.0005417427 0.00024235858 0.00017107664 0.00021384581 0.0025518932 0.00024235858 0.00017107664 7.128193e-05 0.00047046077 0.00017107664 0.00021384581 0.00017107664 0.00014256386 0.00015682026 0.00068430655 0.00022810219 0.00034215327 0.0006557938 0.00039917883 0.00045620438 0.00022810219 0.00021384581 0.00012830748 0.000114051094 0.00027087136 0.00015682026 9.9794706e-05 7.128193e-05 0.00096943433 0.00041343522 0.00068430655 0.00019958941 0.001325844 0.00027087136 0.00019958941 0.00041343522 0.00069856294 0.000114051094 0.00015682026 0.00015682026 0.00049897353 0.00019958941 0.00014256386 0.00017107664 0.00022810219 0.00014256386 0.0003278969 0.00022810219 0.0006557938 0.00027087136 0.000114051094 0.00034215327 0.0007698449 0.00025661496 0.0005274863 0.0052035814 0.7761194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013934235 5.8302237e-05 7.2877796e-05 0.0001093167 6.559002e-05 2.186334e-05 8.745336e-05 8.745336e-05 6.559002e-05 3.6438898e-05 6.559002e-05 8.016558e-05 2.9151119e-05 8.016558e-05 8.016558e-05 5.101446e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0086651705 0.00022592118 0.00022592118 0.003468983 0.00022592118 0.00017490672 0.00018948228 0.00023320895 0.00016761894 0.00017490672 0.00022592118 0.00021134561 0.00016761894 0.00013846782 0.0002186334 0.00021134561 0.006398671 0.00012389226 0.0004664179 0.0005101446 0.0017636428 0.0008089436 0.0028932486 0.0015960238 4.372668e-05 1.4575559e-05 2.9151119e-05 2.9151119e-05 5.101446e-05 3.6438898e-05 5.8302237e-05 0.00010202892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023860192 0.001821945 0.0014721316 0.006194613 0.0038333721 0.0031045943 0.007776061 0.0041248836 0.0016105993 0.00036438898 0.0005684468 0.0006850513 0.0010858792 0.00065590016 0.0007214902 0.001821945 0.007018132 0.0006194613 0.0004664179 0.00067776354 0.0006486124 0.000597598 0.0005028568 0.000429979 0.00044455458 0.00038625233 0.0005465835 0.00056115905 0.00051743235 0.00062674907 0.00058302237 0.000298799 0.019312616 0.007899953 0.0007579291 0.0041175955 0.005990555 0.004839086 0.0031628965 0.002419543 0.008446537 0.0007142024 0.0014429804 0.0010348647 0.0053419424 0.0011660447 0.002288363 0.005691756 0.0036657532 0.0015231459 0.00023320895 0.0009765625 0.001195196 0.0009838503 0.0004664179 0.000597598 0.0014065416 0.00010202892 0.0002623601 0.00020405784 0.0009984259 0.00026964786 0.0006923391 0.0013482393 0.0010640159 0.0011733326 0.0009474114 0.001326376 0.0011806203 0.0012170592 0.0008818214 0.00091826025 0.000663188 0.0007214902 0.0008818214 0.00080165575 0.0008308069 0.0009401236 0.0009401236 0.0004372668 134.0 16.597015 2224.0 0.021582734 0.0022482015 0.0053956835 0.0 0.0004496403 0.0008992806 0.0004496403 0.0008992806 0.0017985612 0.0008992806 0.0013489209 0.0004496403 0.0004496403 0.003147482 0.007194245 0.0053956835 0.0098920865 0.009442446 0.009442446 0.011690647 0.0049460432 0.013039568 0.003147482 0.0049460432 0.008093525 0.007643885 0.0040467624 0.0035971224 0.013938849 0.008992806 0.009442446 0.011690647 0.026978416 0.025629496 0.003147482 0.017535971 0.01663669 0.008543165 0.003147482 0.0098920865 0.010791367 0.01528777 0.0004496403 0.0013489209 0.0040467624 0.003147482 0.008543165 0.0022482015 0.01708633 0.0013489209 0.0049460432 0.01708633 0.008992806 0.0049460432 0.0049460432 0.006744604 0.008543165 0.009442446 0.006744604 0.0008992806 0.0035971224 0.0004496403 0.0008992806 0.022931654 0.0008992806 0.038669065 0.0049460432 0.025179856 0.023381295 0.07913669 0.004496403 0.007643885 0.0098920865 0.0323741 0.0035971224 0.0049460432 0.027877698 0.017985612 0.03552158 0.027877698 0.009442446 0.003147482 0.04271583 0.03192446 0.051708635 0.01573741 0.007194245 0.0017985612 0.007194245 0.012589928 0.0026978417 0.0013489209 0.0017985612 0.0013489209 0.0004496403 0.0008992806 5.798139 1.0 0.0 0.0 2.0 70144.0 90112.0 1.0 13.0 43.0 1.0 1.0 0.0 0.0 0.0 1491287200.0 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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 6656.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 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 2560.0 0.0 0.0 -57856.0 0.0 0.0 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 -6656.0 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 -6.374517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2196593 0.0 0.0 -0.590551 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4038684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.050918 0.0 4.8713675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -990.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2443.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6522.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 523.0 14208.0 80.0 13100.0 436.0 20480.0 0.0 0.0 0.0 0.0 916.0 24576.0 28.0 12496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12808.0 0.0 0.0 184.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.27187952 0.021506954 0.012723537 0.015218569 0.011705202 0.012913205 0.0057555092 0.0024408419 0.007211886 0.0022082732 0.0026959898 0.0012667088 0.0018402276 0.0015512103 0.00092124275 0.004649115 0.0072322073 0.0013796062 0.00060513004 0.0008399566 0.0016776554 0.0031904804 0.00074512284 0.0007202854 0.0032649927 0.0042630057 0.0008399566 0.00056674494 0.0007406069 0.0007677023 0.0008083454 0.0010160765 0.008483111 0.00079705566 0.0019237717 0.00067512644 0.016214324 0.0007406069 0.00051707006 0.0006299675 0.004773302 0.00047868496 0.00051029626 0.002212789 0.00050803827 0.0007767341 0.0013321893 0.00050126447 0.0071260836 0.0007406069 0.0011222002 0.00495168 0.0018899024 0.00058706646 0.0005893244 0.00062545156 0.0046197614 0.0021540823 0.00081286125 0.0019418353 0.0008783418 0.00064577314 0.00054416544 0.0014247652 0.018074874 0.005680997 0.00251987 0.0020773122 0.0066248192 0.003955925 0.0009799494 0.0013931539 0.060359467 0.0058864704 0.000909953 0.000909953 0.006283869 0.002734375 0.00078125 0.00096188585 0.0072683347 0.00065706286 0.0020479588 0.0015060513 0.0023098807 0.0024905165 0.0016483021 0.0026417992 0.0025650288 0.0006615788 0.0007767341 0.0014360549 0.0045723445 0.0015308887 0.0010770411 0.003644328 0.0029466222 0.003384664 0.0011109104 0.0018447435 0.002901463 0.0037007767 0.0018402276 0.0009280166 0.0021856937 0.0027185695 0.00053739164 0.0008557623 0.0030979046 0.0016008851 0.002867594 0.0032401553 0.0041004336 0.0004990065 0.0031543532 0.0024092305 0.009885296 0.004773302 0.001126716 0.0013367052 0.0031611272 0.001217034 0.00053739164 0.0007902818 0.0018740968 0.000650289 0.0005690029 0.0006773844 0.0028833996 0.0013502529 0.00047642703 0.010790734 0.0013818642 0.006281611 0.00050578034 0.0006548049 0.0020163476 0.012271947 0.0015060513 0.033997923 0.00049674854 0.007281882 0.00033191836 0.0004290101 0.005423591 0.0003861091 0.00065706286 0.0017295881 0.00065706286 0.0004244942 0.00044933165 0.0008805997 0.0016144328 0.00037707732 0.0003115968 0.0003003071 0.00069319 0.0002822435 0.00034998194 0.00035901373 0.0023189127 0.0005328757 0.0005938403 0.0006706106 0.00079705566 0.0005915824 0.00069319 0.00076544436 0.0021518245 0.00068415824 0.0008106033 0.0006706106 0.00076544436 0.00067964237 0.000650289 0.0007089957 0.0017747472 0.000390625 0.00051707006 0.00032288657 0.0005306178 0.00032288657 0.00060964597 0.0008489884 0.0013231576 0.00087382586 0.0013186416 0.00043126807 0.00051932805 0.0003951409 0.00037933525 0.0005464234 0.0058887284 0.0020253793 0.0008286669 0.0051277997 0.004716853 0.00046287934 0.0010318822 0.0042381682 0.0035698158 0.0025650288 0.0006638367 0.0027479227 0.032607026 0.00046739524 0.0009641438 0.0017724892 0.0023505238 0.00063448335 0.0008512464 0.00060513004 0.00058706646 0.0006728685 0.0010138187 0.00073609105 0.0018921604 0.0008986633 0.00051707006 0.0017250723 0.0005238439 0.00042675217 0.0003951409 0.00056674494 0.0021044074 0.0005690029 0.00045610548 0.00045836344 0.00046513727 0.00030708092 0.00037933525 0.00043578396 0.008185062 0.005861633 0.0012192919 0.001343479 0.0034524025 0.00053964957 0.00032740246 0.00046062138 0.0027569544 0.00078350795 0.00078350795 0.0005125542 0.0005464234 0.00033643426 0.0009822074 0.00060513004 0.0021969834 0.0010905889 0.00092124275 0.0005712608 0.0010567197 0.001517341 0.003298862 0.042293623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040773186 2.8322578e-05 2.0392257e-05 6.3442574e-05 0.00012915095 3.0588384e-05 4.1917418e-05 7.36387e-05 1.3594838e-05 1.5860644e-05 1.2461935e-05 9.063225e-06 1.812645e-05 6.797419e-06 1.3594838e-05 8.610064e-05 0.029138269 0.0004701548 0.00060610316 0.00042370576 0.0003534658 0.00021298579 0.00018806192 0.00041350964 0.0003602632 0.00049167994 0.0003534658 0.0004769522 0.00013368257 0.00035573158 0.00014954321 0.00067521026 0.06816792 0.0014818372 0.002502583 0.00052679994 0.0011838838 0.00045202835 0.001063796 0.0008632722 0.0013413574 0.0018149108 0.0009289806 0.0005426606 0.00045769286 0.0007227922 0.00066727994 0.0031290785 0.022985471 0.0004293703 0.0006378245 0.00023451095 0.0007624438 0.0004316361 0.00071146316 0.0005086735 0.00040444641 0.00044296513 0.0002583019 0.00016766967 0.0001438787 0.0003965161 0.0001767329 0.0014705083 0.018338302 0.00044976253 0.00059250835 0.00040444641 0.0012892438 0.0007771716 0.0020856746 0.0010320748 0.00022884643 0.00022997934 0.0001801316 0.00022318192 0.00017559998 0.00015860643 0.00017559998 0.0015010966 0.061978865 0.0029500797 0.0023541728 0.002653259 0.0050810706 0.001906676 0.002210294 0.0025195766 0.0011249728 0.001450116 0.0011487638 0.0013526863 0.0010513341 0.0008734683 0.0010660619 0.007726399 0.057984248 0.003814485 0.0027982707 0.003720454 0.006219638 0.005120722 0.010473689 0.0064518834 0.0012495922 0.0021162631 0.0015939947 0.0009312464 0.0012722502 0.0012563895 0.0011181753 0.009887978 0.022764556 0.00096296764 0.0017095509 0.0025071146 0.006617287 0.0038224151 0.010623232 0.0048023765 0.0006502864 0.0012348645 0.0005086735 0.00048035092 0.0010468025 0.00085307605 0.00078283605 0.00095843605 0.011827509 0.0008020954 0.0008462786 0.0009289806 0.001180485 0.0010819224 0.0014444515 0.0011181753 0.0008610064 0.0009074554 0.0048760152 0.00084967737 0.00094597414 0.00092444895 0.0008213548 0.00074658316 0.005203424 0.0014138632 0.0011748206 0.0007998296 0.0051626395 0.0009017909 0.0005426606 0.0008621393 0.0039334395 0.0002583019 0.00023451095 0.0002934219 0.0045871246 0.00041917415 0.002270338 0.002104934 0.07361151 0.01580513 0.027753862 0.01832131 0.0921662 0.022050826 0.0063340613 0.018050546 0.072376646 0.0059103556 0.0029659404 0.0056917053 0.0597833 0.008342698 0.019182315 0.031932008 0.00046788898 6.684128e-05 0.00011215741 8.610064e-05 0.00031607997 9.8562574e-05 4.1917418e-05 9.742967e-05 0.00033307352 1.6993547e-05 1.5860644e-05 3.1721287e-05 0.00021978321 7.36387e-05 0.00016540386 0.0001767329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1286.0 19.286936 24803.0 0.003951135 0.00028222392 8.063541e-05 0.00012095311 0.030399548 4.0317704e-05 8.063541e-05 0.0 0.0017739789 0.00060476555 0.00028222392 0.00048381244 0.00012095311 0.0053219367 0.011248639 0.00016127081 0.007660364 0.003910817 0.0027012862 0.016046446 0.0019755675 0.0020562029 0.0014514374 0.0017336613 0.0063298796 0.0031044632 0.00012095311 0.0022174737 0.0012095311 0.00016127081 0.0010482603 0.017014071 0.08184494 0.047453936 0.0024996977 0.008950531 0.008224811 0.013748337 0.002580333 0.0012901665 0.02878684 0.012538806 0.00040317702 0.00032254163 0.01632867 0.0044349474 0.0026609683 0.0023787445 0.018344555 0.0013708019 0.004354312 0.0058057494 0.0070555983 0.016368987 0.01842519 0.015764222 0.012740394 0.0027819215 0.0049993955 0.0022577913 0.0031850985 0.0037092287 0.007781317 0.028544934 0.0007257187 0.04543805 0.008748942 0.021166794 0.024916342 0.048542514 0.010281014 0.005846067 0.0033463694 0.033987824 0.0012095311 0.0053622546 0.035318308 0.017054388 0.034068458 0.040277384 0.011692134 0.00036285934 0.034350682 0.022537597 0.04580091 0.01140991 0.004596218 0.007216869 0.005120348 0.005563843 0.0009273072 8.063541e-05 0.0009273072 0.00048381244 0.00020158851 0.00080635404 5.526805 1.0 0.0 0.0 2.0 442880.0 462848.0 1.0 3.0 198.0 1.0 0.0 0.0 1.0 0.0 1532415200.0 0.0 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 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 12.0 6.0 2.0 6.0 2.0 226304.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 161792.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.444509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.088192 0.0 0.0 0.0 0.0 5.669216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.705676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1456637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 161490.0 0.0 0.0 0.0 0.0 16980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226015.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 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 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 384288.0 440.0 384428.0 0.0 0.0 16980.0 434176.0 0.0 0.0 4488.0 454656.0 112.0 273712.0 0.0 0.0 0.0 0.0 40.0 274080.0 256.0 273824.0 0.0 0.0 1752.0 233472.0 0.0 0.0 0.0 0.0