Input: 0.26909992 0.008333334 0.0047770184 0.008089193 0.012353515 0.003572591 0.001969401 0.0039550783 0.012003581 0.0021321615 0.0031738281 0.0033854167 0.003979492 0.0032145183 0.00091145834 0.00703125 0.0065755206 0.001171875 0.0008870443 0.0010253906 0.0030273437 0.00034179687 0.0008463542 0.00037434895 0.002693685 0.00044759116 0.0010660808 0.003141276 0.003100586 0.000382487 0.0013020834 0.001171875 0.001969401 0.0022135417 0.00028483072 0.004833984 0.0046223956 0.0006591797 0.00034993488 0.0002766927 0.0012207031 0.001171875 0.0029459635 0.00049641926 0.0012858073 0.0004394531 0.0009033203 0.0026448567 0.0017740886 0.011995443 0.001920573 0.013500976 0.0017985026 0.0008789062 0.00070800784 0.00021158854 0.0012207031 0.00044759116 0.00068359374 0.0006510417 0.0020914713 0.0008789062 0.0008544922 0.0007405599 0.009407552 0.0025634766 0.0010660808 0.0012044271 0.0032145183 0.016764322 0.0018717448 0.0014404297 0.0020914713 0.0010904948 0.0008463542 0.0010253906 0.002416992 0.007511393 0.0012207031 0.0010009765 0.004296875 0.0016031901 0.002018229 0.001538086 0.0025227864 0.016276041 0.002351888 0.0020670572 0.0022623697 0.0011800131 0.00081380206 0.0010742188 0.0019124349 0.009057617 0.0017822266 0.0014729818 0.001969401 0.0012451172 0.00034993488 0.00071614585 0.0041910806 0.0021402994 0.0020100912 0.00069173175 0.0041503906 0.0036621094 0.001920573 0.0020507812 0.00855306 0.00091959635 0.0013997395 0.0017008464 0.0036132813 0.0017496744 0.0026611327 0.0011311849 0.005159505 0.0029134115 0.0012207031 0.0010172526 0.003141276 0.0011149088 0.0008789062 0.0008626302 0.0008870443 0.021280924 0.0008463542 0.00026041668 0.0012858073 0.0008707682 0.00029296876 0.0034179688 0.0018798828 0.0056396485 0.0009928385 0.0005371094 0.0032226562 0.021044921 0.0018554687 0.038232423 0.0016194661 0.005566406 0.0010091146 0.0003173828 0.0012288411 0.00040690103 0.00083007815 0.00046386718 0.002400716 0.0010498047 0.000390625 0.00021158854 0.0013916015 0.0016031901 0.00013020834 0.00017089843 0.0023111978 0.0020670572 0.0013753255 0.0005452474 0.0025716147 0.0007568359 0.00056966144 0.00044759116 0.002327474 0.00029296876 0.00030110677 0.0002360026 0.0028238932 0.0002685547 0.00080566405 0.0002360026 0.0024576823 0.00034993488 0.00040690103 7.324219e-05 0.0020670572 0.00017903646 0.00036621094 0.00014648438 0.0021240234 0.0013183594 0.004630534 0.00034993488 0.003059896 0.00080566405 0.0006266276 0.00020345052 0.0022298177 0.0019938152 0.00095214846 0.0004313151 0.0049723308 0.00855306 0.0015055338 0.0013997395 0.0038655598 0.000773112 0.0025146485 0.0065755206 0.0049153646 0.0010498047 0.0011393229 0.00234375 0.007706706 0.00035807292 0.0010172526 0.001570638 0.003857422 0.0014729818 0.0010742188 0.0016601563 0.0028971354 0.000382487 0.0006429037 0.0007486979 0.0033854167 0.00072428386 0.001171875 0.0019775392 0.003458659 0.00039876302 0.0005452474 0.00083821616 0.0044596354 0.0004313151 0.0009765625 0.0018229167 0.004280599 0.00070800784 0.0005371094 0.0012776692 0.007014974 0.000789388 0.00046386718 0.0018961589 0.005525716 0.00014648438 0.0006591797 0.00091959635 0.0047932942 0.00032552084 0.00091959635 0.00079752604 0.007047526 0.0038248699 0.00060221355 0.0018066406 0.0059488933 0.00083821616 0.0009440104 0.004288737 0.009309896 0.0041097007 0.007405599 0.06327311 0.033395976 0.0 0.0 0.0 4.5135243e-05 4.103204e-05 8.616728e-05 4.5135243e-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 0.015263918 0.00012719932 9.847689e-05 6.975447e-05 9.437369e-05 5.7444853e-05 0.00016002495 0.00012719932 2.8722427e-05 1.23096115e-05 1.6412816e-05 3.6928835e-05 4.103204e-05 3.2825632e-05 3.2825632e-05 0.0006072742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0065323003 5.334165e-05 6.975447e-05 4.9238446e-05 1.6412816e-05 2.051602e-05 0.00016823136 0.00013130253 0.00012719932 6.975447e-05 0.00012719932 0.000102580096 7.7960874e-05 0.00018464417 3.6928835e-05 0.0006359966 0.0065979515 0.00025439865 0.00025850185 7.7960874e-05 0.00023388262 7.7960874e-05 0.00027491467 8.206408e-05 6.5651264e-05 5.7444853e-05 4.103204e-05 2.8722427e-05 4.103204e-05 5.334165e-05 4.5135243e-05 0.0002133666 0.026941637 0.0006934414 0.0015879399 0.0006359966 0.0027778689 0.0023101037 0.0015756303 0.00072626706 0.0002995339 0.00041032038 0.00016412816 0.00022977941 0.00037339155 0.00034877233 0.00038159796 0.0025603992 0.034261752 0.0008001247 0.0026424632 0.0018218225 0.0049156384 0.003643645 0.0036559545 0.0035164456 0.0005334165 0.00037749475 0.0001066833 9.847689e-05 0.00013130253 0.00018464417 0.00035697874 0.0017766872 0.033498555 0.001772584 0.0011694131 0.0013417476 0.0032661501 0.0016330751 0.0040129335 0.0032948726 0.0011242778 0.0009519433 0.000221573 0.00058265496 0.00041032038 0.00029132748 0.00040621718 0.0048458837 0.06689453 0.006704635 0.005055147 0.004004727 0.005777311 0.00390625 0.008768546 0.007410386 0.0031922925 0.0017602744 0.0011899291 0.0010504202 0.0021049436 0.0013540572 0.0026055344 0.021078158 0.0609613 0.007430902 0.0068113185 0.004936154 0.007291393 0.004554556 0.009716387 0.005719866 0.0032702533 0.0033687302 0.0024085806 0.0025727088 0.0038282892 0.0024660255 0.00390625 0.030421153 0.003984211 0.00045135242 0.00040211398 0.00093142723 0.002334723 0.0011365875 0.0006483062 0.001128381 0.0034507944 0.00094784005 0.00026670826 0.0009929753 0.0013376444 0.0006688222 0.00093142723 0.00559677 0.024463302 0.0039965203 0.003545168 0.010836561 0.01361443 0.01454996 0.003118435 0.011505383 0.035111114 0.003705193 0.0043124673 0.0070328913 0.019514836 0.0077591585 0.010623194 0.027992057 0.03338777 0.0052274815 0.004689962 0.015879398 0.01457458 0.020290343 0.005301339 0.015181854 0.040781744 0.005034631 0.006146599 0.008854714 0.02250197 0.012079832 0.012527081 0.021238184 0.0 0.0 0.0 0.0 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 10.57047 1575.0 0.005079365 0.0006349206 0.0 0.0006349206 0.005079365 0.0 0.0 0.0 0.0 0.0006349206 0.0 0.0019047619 0.0 0.0 0.0107936505 0.0006349206 0.0012698412 0.0006349206 0.0038095238 0.0038095238 0.0006349206 0.0 0.0025396824 0.0 0.0006349206 0.0006349206 0.0012698412 0.0019047619 0.0 0.0 0.0 0.0 0.0025396824 0.021587301 0.015873017 0.011428571 0.015238095 0.013333334 0.018412698 0.012063492 0.0044444446 0.012063492 0.0019047619 0.00952381 0.012698413 0.015873017 0.0107936505 0.0069841268 0.0057142857 0.0006349206 0.0107936505 0.017777778 0.012063492 0.0031746032 0.008888889 0.0044444446 0.0 0.0012698412 0.0 0.0 0.0025396824 0.0006349206 0.0 0.0069841268 0.0006349206 0.054603174 0.0031746032 0.015873017 0.022222223 0.0984127 0.00952381 0.015873017 0.0107936505 0.04761905 0.0025396824 0.025396826 0.05015873 0.022222223 0.054603174 0.045714285 0.017777778 0.0 0.044444446 0.027936507 0.06539682 0.016507937 0.0063492064 0.015873017 0.00952381 0.011428571 0.0 0.0012698412 0.0019047619 0.0 0.0 0.0 5.29757 0.0 0.0 0.0 1.0 122880.0 106496.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 1127876600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -61440.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.355723 0.0 0.0 -5.0355396 0.0 5.1841416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3132.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -58432.0 0.0 12400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 62196.0 12400.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 592.0 148.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.26058763 0.039831914 0.03715541 0.011146623 0.022964016 0.0066485163 0.017781986 0.0069510206 0.006569602 0.007339015 0.047762785 0.0029724326 0.0035445602 0.0045835963 0.0036234744 0.0016440446 0.0030250421 0.010745476 0.010081282 0.007661248 0.0026502 0.0045112586 0.003426189 0.0033012417 0.0025975904 0.0012823548 0.0017032302 0.0016308923 0.004530987 0.0014138784 0.0037747265 0.0014862163 0.0040838066 0.001216593 0.001216593 0.0058856797 0.001545402 0.001959701 0.004392887 0.0024003051 0.013231271 0.0017098064 0.007832228 0.004162721 0.0038602168 0.003505103 0.002393729 0.0010587648 0.0036366268 0.002946128 0.0031105324 0.0027488426 0.0021964435 0.0022161722 0.0018479062 0.0006510417 0.002393729 0.0018676347 0.0017361111 0.0020320392 0.002058344 0.0016440446 0.0028869424 0.0023345433 0.0035971696 0.0026830807 0.0029395518 0.0028540615 0.0019794297 0.0025712857 0.0014467592 0.001216593 0.0013612689 0.0032486322 0.0010456124 0.0006378893 0.002656776 0.0016440446 0.0019399726 0.0010061553 0.0024463383 0.00061816076 0.002242477 0.002656776 0.0016703493 0.0014270308 0.003202599 0.00093381735 0.0024529146 0.001768992 0.0017295349 0.0015782828 0.0007036511 0.0011574074 0.0004603325 0.009660406 0.0006510417 0.010515309 0.0018742109 0.005787037 0.0039588595 0.017466329 0.004241635 0.0051162667 0.0018479062 0.007148306 0.001216593 0.0015717066 0.0072009154 0.0029198232 0.00619476 0.039772727 0.006997054 0.0007102273 0.0125341965 0.007470539 0.013573232 0.0038930976 0.0016440446 0.0005195181 0.0013481166 0.0025712857 0.000664194 0.011074284 0.0007036511 0.0048729484 0.0060369316 0.0004603325 0.0037089647 0.0047348486 0.0018150252 0.0019991582 0.0010061553 0.00074968435 0.0015059449 0.0006115846 0.00068392255 0.0008220223 0.0004866372 0.00053924666 0.0014138784 0.000664194 0.00059843226 0.00037484217 0.00053267047 0.0006050084 0.00031565657 0.00068392255 0.0005260943 0.0004537563 0.0010719171 0.00038141836 0.0009666982 0.0010456124 0.00048006102 0.0003879945 0.00206492 0.0018939395 0.00025647096 0.0004208754 0.0010456124 0.00093381735 0.00092724117 0.00053267047 0.0007168035 0.0014270308 0.0004866372 0.0003879945 0.00055239897 0.0016506208 0.0011311027 0.00026304714 0.0004537563 0.00047348486 0.00044718012 0.00044718012 0.00053924666 0.0009075126 0.0008549032 0.00061816076 0.0007168035 0.0010784933 0.000368266 0.0005918561 0.0005129419 0.0011376789 0.0003353851 0.00032223275 0.0005195181 0.0007694129 0.00050636573 0.0006707702 0.0006115846 0.0013086596 0.00027619948 0.00026962333 0.0006050084 0.0004603325 0.00061816076 0.00043402778 0.00038141836 0.00053267047 0.0002433186 0.0010127315 0.0010258838 0.00081544614 0.0005918561 0.00037484217 0.00029592804 0.00063131313 0.0005129419 0.00028277567 0.0004603325 0.0005721275 0.0003025042 0.0003025042 0.0004274516 0.0007957176 0.00028935185 0.0004866372 0.0006510417 0.00056555134 0.0005458228 0.0004866372 0.000368266 0.0004603325 0.0006115846 0.00038141836 0.0002433186 0.0004274516 0.0031565656 0.00024989477 0.00028935185 0.0005260943 0.0003025042 0.000775989 0.00032223275 0.0011376789 0.00025647096 0.00044060397 0.0010193076 0.00063131313 0.00046690868 0.0005129419 0.00062473695 0.00069049874 0.00041429925 0.00025647096 0.0027225378 0.00048006102 0.002472643 0.0006050084 0.00056555134 0.00053267047 0.0013941498 0.0015782828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005351164 2.989477e-05 0.00010297087 9.964924e-05 0.00020262011 8.636267e-05 0.0006576849 0.00022919325 1.3286564e-05 3.321641e-06 3.321641e-06 6.643282e-06 6.643282e-06 0.0 3.321641e-06 6.643282e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022836283 0.0013319781 0.0029861555 0.0014083758 0.008191167 0.007875611 0.04276281 0.019883344 0.00027901787 0.00056135736 0.00012622237 8.968431e-05 0.000106292515 0.00012622237 6.6432825e-05 0.00021258503 0.11818399 0.00627458 0.014302987 0.0061682877 0.0071049905 0.008343963 0.02693851 0.021587346 0.0018634407 0.002823395 0.0017737563 0.0010562818 0.0012821535 0.0007872289 0.0006510417 0.0053478424 0.21026985 0.027127843 0.026476802 0.014014004 0.0070385574 0.010081181 0.035518307 0.02298908 0.00823767 0.004181946 0.003952753 0.004045759 0.003859747 0.0025942018 0.0026240966 0.0047433036 0.050203286 0.012788318 0.008636267 0.005138579 0.002776892 0.002756962 0.0069654817 0.0049259937 0.005301339 0.0013386214 0.0018235809 0.0019099436 0.0013153699 0.000906808 0.0010097789 0.0010463169 0.053857088 0.011363334 0.005238228 0.006360943 0.004620403 0.0042450572 0.0033747875 0.004082297 0.003989291 0.0023118623 0.0027171024 0.002481266 0.0021524234 0.0022520728 0.0040656887 0.0025344123 0.0124030085 0.0034412201 0.002285289 0.00238826 0.002414833 0.0012555803 0.0016807504 0.001378481 0.0015744579 0.0007008663 0.00093338115 0.00060121703 0.0006510417 0.00055803574 0.0009599543 0.0007872289 0.004563935 0.0018767272 0.0007041879 0.0010131005 0.0006377551 0.00032552084 0.00027901787 0.00049160287 0.0006377551 0.00027237457 0.0006377551 0.00034877233 0.00027237457 0.0004583865 0.00066764985 0.0004185268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1367.0 15.6313095 21368.0 0.0011699738 4.6798952e-05 0.0 0.002807937 0.00018719581 0.0 0.00037439162 0.0 0.00032759266 0.0002807937 0.00060838636 9.3597904e-05 0.0002807937 0.00032759266 0.0061774617 4.6798952e-05 0.0036503181 0.0050542867 0.0062710596 0.0054754773 0.0015443654 0.0013571696 0.0032291277 0.0006551853 0.0007955822 0.0027143392 4.6798952e-05 0.0002807937 0.0055690752 0.00018719581 0.0055690752 0.0007019843 0.0015443654 0.010670161 0.0146480715 0.012776114 0.007487832 0.0071134404 0.0055222763 0.0027611381 0.002854736 0.012869712 0.0 0.0005615874 0.0061306627 0.0062242607 0.0088918 0.0021995506 0.012448521 0.00018719581 0.01160614 0.014226881 0.007862224 0.0016379633 0.009546986 0.0013103706 0.00088918005 0.0006551853 0.00032759266 0.00032759266 0.0005147885 9.3597904e-05 4.6798952e-05 0.06018345 0.000935979 0.062289406 0.008704605 0.034678023 0.022135904 0.10829277 0.024054661 0.029483339 0.008143018 0.040106703 0.00032759266 0.0065050544 0.044459004 0.0146480715 0.038983528 0.056439538 0.012308124 0.00042119058 0.047407337 0.036269188 0.08667166 0.016192438 0.0050542867 0.00088918005 0.0053350804 0.008657806 0.0004679895 0.0 4.6798952e-05 9.3597904e-05 0.0 4.6798952e-05 5.0798736 1.0 0.0 0.0 1.0 152064.0 180224.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1504596500.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 48.0 0.0 4.0 0.0 4.0 0.0 149504.0 512.0 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 -149504.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.866429 0.0 3.2321577 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 -149152.0 0.0 1056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 157256.0 1056.0 163840.0 0.0 0.0 0.0 0.0 12.0 172032.0 28.0 156944.0 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: 0.16960323 0.007920699 0.004471686 0.0057951445 0.005775092 0.0037297471 0.00494626 0.002981124 0.004538527 0.0030546496 0.0028741779 0.003027913 0.0032685418 0.0031549116 0.0024597615 0.004030533 0.0043045827 0.002386236 0.0022792898 0.0026402331 0.002887546 0.00397706 0.0021389232 0.002185712 0.0025667076 0.0022124485 0.0019450831 0.0022258167 0.002332763 0.00308807 0.0021188706 0.0021055024 0.004912839 0.0023929202 0.002426341 0.0022391852 0.0032217528 0.0025466552 0.0029610717 0.0017646116 0.0022458693 0.0027137587 0.0020988183 0.0031615957 0.002887546 0.0024931822 0.0027939682 0.0036963264 0.007546388 0.0037899043 0.002733811 0.0033019625 0.0019985563 0.0027471792 0.0024463932 0.0021589755 0.0021389232 0.0028674938 0.0022525534 0.0028006523 0.00258676 0.0023060264 0.0028741779 0.0023929202 0.007967488 0.0034356453 0.0041040587 0.0028006523 0.0029009143 0.0055277795 0.0026134965 0.0022726057 0.0027003903 0.0020319768 0.0019250307 0.0021990803 0.0022458693 0.0031482275 0.0023260787 0.0019985563 0.005033153 0.002426341 0.0020787658 0.004471686 0.0025466552 0.004010481 0.0040973746 0.0033888563 0.002285974 0.0027137587 0.0022057644 0.0017913481 0.0025667076 0.002626865 0.0022592375 0.0025533393 0.0033153307 0.004638789 0.002626865 0.0038366932 0.0036896423 0.0069247633 0.0025600235 0.0027538633 0.0040973746 0.0046922625 0.0045051067 0.0022926582 0.0042978986 0.0034490135 0.0045920005 0.00475242 0.0051400997 0.0028608097 0.0053874124 0.0050999946 0.008094487 0.007218865 0.0024530774 0.0030613337 0.0029142827 0.0033955404 0.0021522914 0.0025199186 0.002787284 0.0045853164 0.0028541253 0.0024129725 0.004411529 0.0030212288 0.0027471792 0.0041040587 0.0031950164 0.0037564836 0.0032752259 0.0019517672 0.0026469172 0.0041909525 0.0019183466 0.0069247633 0.0020186086 0.0032685418 0.002232501 0.0024597615 0.002285974 0.0021723437 0.0021456073 0.0021322388 0.0024062884 0.0020186086 0.0023060264 0.0021456073 0.0023127105 0.0020052404 0.0023996043 0.0018916101 0.0020720817 0.002285974 0.0023929202 0.0029477032 0.002787284 0.0028608097 0.001938399 0.002486498 0.002185712 0.0028608097 0.0019250307 0.0022726057 0.0027672318 0.0043647396 0.0021923962 0.0022525534 0.0027605477 0.001884926 0.0017980322 0.0026602854 0.0020787658 0.0021456073 0.0017311908 0.0017512433 0.0021456073 0.0016242447 0.0019985563 0.0017178226 0.0023394472 0.0019718197 0.0019517672 0.0021589755 0.002232501 0.0015774558 0.002185712 0.003134859 0.004471686 0.002479814 0.0025667076 0.0022124485 0.002285974 0.002038661 0.0022391852 0.002827389 0.002379552 0.0026402331 0.0017378749 0.0023661836 0.0020854499 0.002185712 0.0019851879 0.0027806 0.0024129725 0.002426341 0.0020720817 0.001938399 0.0020520294 0.0020653976 0.0022191326 0.0017311908 0.0020653976 0.0020587135 0.0020252927 0.0019718197 0.0019651356 0.0016242447 0.0018448211 0.00258676 0.0025199186 0.0017044543 0.001884926 0.0018114004 0.0022057644 0.0018448211 0.0017579274 0.0018047163 0.005514411 0.0022458693 0.0019450831 0.0028674938 0.0024931822 0.0019517672 0.002185712 0.0024397091 0.002887546 0.001838137 0.0017311908 0.0018581894 0.0023461313 0.0019250307 0.0021790278 0.0022391852 0.0032885943 0.0019049783 0.0016175605 0.0019517672 0.0028608097 0.0029944922 0.014123577 0.09620475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011331492 5.387931e-05 6.398168e-05 3.367457e-05 4.7144396e-05 5.0511855e-05 4.377694e-05 3.0307112e-05 0.00018857759 5.724677e-05 4.7144396e-05 4.7144396e-05 0.00011112608 4.7144396e-05 5.724677e-05 0.0015827047 0.007913523 8.0818965e-05 6.398168e-05 5.724677e-05 0.0002424569 8.4186424e-05 0.0003030711 0.0006802263 0.001835264 0.00013469828 3.367457e-05 3.367457e-05 3.367457e-05 4.0409483e-05 2.6939655e-05 0.009125808 0.018332435 0.0001717403 9.765625e-05 7.07166e-05 7.4084055e-05 0.00033001078 8.4186424e-05 7.07166e-05 0.00065665407 0.00041756465 0.0006061422 0.00011786099 0.00022561962 0.00044787177 0.00030980603 0.0055731414 0.007088497 0.00035358296 0.0010775862 0.00027949893 0.000272764 0.00024582434 2.6939655e-05 0.0012257543 0.001606277 0.0011112607 0.0011449354 0.0002828664 0.00015827047 8.755388e-05 0.00022561962 0.019295529 0.03875943 0.0010001347 0.0020002695 0.0018083244 0.0016096444 0.0012425917 0.0058492725 0.0032596982 0.0015827047 0.0018386315 0.0024649785 0.0011853449 0.0010573815 0.0005152209 0.0006768588 0.024804687 0.02567686 0.00076104526 0.002468346 0.0012526939 0.0022292566 0.0011247306 0.005754984 0.004071255 0.0020945582 0.0010809536 0.0023706898 0.0009294181 0.00093278557 0.0006667565 0.0006431843 0.016908001 0.024771012 0.0007677802 0.0015220905 0.0012728987 0.003242861 0.002461611 0.0074993265 0.0073882006 0.0013941271 0.0011685075 0.0017510776 0.0012021821 0.0026501885 0.0017342403 0.0009125808 0.016123384 0.010206762 0.00041082973 0.00044450432 0.00058257004 0.00078125 0.001016972 0.00082502695 0.0013301455 0.00092268316 0.0009125808 0.0012392241 0.00059603987 0.0008789062 0.0004209321 0.00041082973 0.0066069504 0.0046201507 0.0001717403 0.0012728987 0.000508486 0.000818292 0.0005859375 0.0005320582 0.00092268316 0.0008721713 0.0004377694 0.001289736 0.00015490301 0.00043103448 0.00018184267 0.0002424569 0.0007509429 0.018315598 0.003050916 0.0015389278 0.0035762393 0.0053037447 0.0044551454 0.0035122575 0.0054451777 0.0060041756 0.00078461744 0.0009967672 0.00089237606 0.002858971 0.0014143318 0.0038321659 0.006984106 0.034846444 0.009098869 0.008799165 0.012109375 0.011115976 0.010385237 0.012368669 0.013005119 0.010789332 0.0031452049 0.0039096177 0.0032024514 0.005616918 0.0033809268 0.0060109105 0.010836476 0.027542429 0.02572737 0.02533001 0.025188578 0.024767645 0.025205415 0.02538389 0.025235722 0.02452182 0.025063982 0.024424165 0.024289466 0.024579069 0.024292834 0.024033539 0.024414062 801.0 15.202248 12177.0 0.024554487 0.0032027592 0.0065697627 0.0038597356 0.0060770307 0.0056664203 0.007144617 0.0020530508 0.0032027592 0.014371356 0.0030385153 0.008704935 0.0059127863 0.0083764475 0.013550135 0.022665681 0.027182393 0.019134434 0.012975281 0.0068161287 0.0041061016 0.0064876406 0.005009444 0.005337932 0.004598834 0.007390983 0.0063233967 0.002792149 0.007226739 0.0033670033 0.0063233967 0.0028742712 0.0032027592 0.013550135 0.0036954915 0.012482549 0.005502176 0.007226739 0.0088691795 0.007965838 0.0034491254 0.0068161287 0.0027100272 0.0048452 0.0051736883 0.0048452 0.0041061016 0.005830664 0.009772522 0.0030385153 0.0043524676 0.015931675 0.009279789 0.0027100272 0.008622813 0.004680956 0.0041882237 0.0031206373 0.004680956 0.002545783 0.0051736883 0.0018888068 0.002381539 0.0067340066 0.0038597356 0.034491252 0.0068161287 0.024554487 0.019709287 0.05732118 0.0064876406 0.011989817 0.010840109 0.0339164 0.0034491254 0.0083764475 0.023733268 0.020941118 0.031042129 0.032109715 0.01691714 0.0022172949 0.03227396 0.033013057 0.048369877 0.019462923 0.004927322 0.00845857 0.009197668 0.012400427 0.0028742712 0.002299417 0.004598834 0.013550135 0.0014781966 0.0020530508 6.0397825 0.0 37.0 0.0 1.0 149608.0 253952.0 0.0 0.0 155.0 0.0 1.0 1.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2640452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7090273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.485008 0.0 4.06491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23130.0 0.0 47168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 47168.0 204800.0 0.0 0.0 14472.0 135136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.09800183 0.014168543 0.0073116478 0.0076869554 0.014968469 0.005859728 0.0040955087 0.0032051809 0.017886005 0.004446161 0.007889676 0.0019505032 0.0103880735 0.0033722885 0.0017970928 0.009919624 0.023214275 0.0017121693 0.0011697541 0.0009095043 0.006281607 0.002687421 0.0012930302 0.0008985464 0.0054268916 0.00081910176 0.0006465151 0.0012711145 0.0035476147 0.0008163623 0.0008629333 0.0011834514 0.0034188596 0.0007423966 0.0006547335 0.0009779911 0.025531868 0.00083005964 0.0006766493 0.0005752889 0.0021806187 0.000564331 0.00048488635 0.0031394337 0.0018217481 0.00067390985 0.00051776 0.00082184124 0.002158703 0.0006684309 0.00088758854 0.0074568396 0.001413567 0.0010327805 0.0007314387 0.00047666792 0.002780563 0.003147652 0.00081362284 0.006363791 0.0023121133 0.0012711145 0.00074787554 0.0006410362 0.0039256616 0.0022929371 0.0010382595 0.0011314015 0.009100522 0.013089192 0.004098248 0.0016792957 0.0028134366 0.0010793515 0.0005040626 0.0005944652 0.0062870854 0.006166549 0.0018272271 0.00083005964 0.0150314765 0.00533101 0.0025120948 0.006788409 0.0030682073 0.0036517147 0.0077937944 0.005317313 0.0012382409 0.006029575 0.00047392846 0.0024244317 0.0023696423 0.0037722513 0.005311834 0.0033558519 0.001366996 0.00049036526 0.0003862654 0.000512281 0.0037804698 0.0017423035 0.0023833397 0.00026846814 0.00450369 0.00041913905 0.008864928 0.0004876258 0.0011779724 0.0003944838 0.00044379427 0.00040544168 0.0018765376 0.00049584423 0.0024463474 0.0015039695 0.015089005 0.015625942 0.001687514 0.0014683563 0.0013532985 0.0007204808 0.0004328364 0.0005341968 0.0027257735 0.0041913902 0.002008032 0.001366996 0.0045119086 0.0017833955 0.00074787554 0.024107343 0.0054816813 0.010073034 0.0005451547 0.00048214686 0.0027915207 0.016538186 0.002350466 0.04751338 0.0014464406 0.01816817 0.0004602311 0.0004794074 0.0010108647 0.0002520313 0.00036982857 0.0004218785 0.001175233 0.0007259598 0.00023285502 0.00041092062 0.0007341782 0.0007150019 0.00051776 0.00039996274 0.0010546963 0.0003287365 0.0002438129 0.0007177414 0.0012491987 0.0033010624 0.00037256803 0.0015888931 0.0010163437 0.0015834142 0.00027394708 0.00022189713 0.001128662 0.00030682073 0.0003205181 0.0005232389 0.0016217667 0.0005259784 0.00047118898 0.00023559449 0.0026216735 0.00062459934 0.00056707044 0.0004602311 0.0011094857 0.000512281 0.0020792584 0.0013889117 0.0028490496 0.0007013045 0.00049310474 0.0005369363 0.001024562 0.00042735745 0.001175233 0.0006958256 0.01143729 0.004446161 0.005144726 0.0070842714 0.00812801 0.0009232017 0.007221245 0.007802013 0.0033887255 0.002712076 0.0008547149 0.0011861909 0.024159394 0.0006602125 0.0030325942 0.0015779352 0.0021614425 0.0011971488 0.0018628401 0.0009862095 0.0025860604 0.00040544168 0.00086019386 0.0007999255 0.0024216922 0.0007423966 0.00053145736 0.0016902535 0.0012382409 0.0005068021 0.0005232389 0.00053967576 0.0024134738 0.00055337313 0.0005999441 0.0003835259 0.0017888745 0.0005287179 0.000657473 0.00050132314 0.02934795 0.003333936 0.0005999441 0.006799367 0.0040133246 0.00041639956 0.00074787554 0.0006382967 0.0039064856 0.0022189715 0.0012765934 0.0012053672 0.0039859302 0.00061364146 0.003909225 0.002706597 0.0072048083 0.0021806187 0.0015039695 0.0015834142 0.0053090947 0.0015779352 0.005648789 0.05994784 0.0056338026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002490922 3.3010565e-05 4.1263203e-05 2.6133363e-05 2.7508802e-05 1.6505282e-05 5.9143928e-05 3.5761444e-05 5.5017604e-06 9.628081e-06 1.1003521e-05 1.3754401e-05 1.2378961e-05 6.8772006e-06 8.252641e-06 1.9256162e-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 0.0018197073 7.977553e-05 6.464569e-05 3.7136884e-05 5.7768484e-05 9.352993e-05 6.739657e-05 5.9143928e-05 0.00017330545 1.2378961e-05 2.4757923e-05 1.9256162e-05 0.00015129842 1.6505282e-05 5.7768484e-05 8.252641e-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 0.00087477994 0.0004456426 0.00015129842 2.2007041e-05 0.00016642826 3.4386005e-05 2.8884242e-05 2.7508802e-05 0.00033835828 5.0891285e-05 1.9256162e-05 4.1263203e-05 0.0002737126 2.2007041e-05 8.390185e-05 0.00023657571 0.09137461 0.021527013 0.02073201 0.011970456 0.021643925 0.03097904 0.010347436 0.020195588 0.05923333 0.003756327 0.0048085386 0.007080766 0.044194266 0.006116582 0.018331867 0.038975846 0.10997469 0.030523768 0.022707142 0.020879181 0.034651462 0.043579444 0.017137984 0.033240262 0.078049354 0.005503136 0.009914173 0.010134243 0.04526986 0.012667804 0.034695476 0.0657199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 823.0 5.8323207 4800.0 0.014583333 0.0027083333 0.0016666667 0.00125 0.06020833 0.0016666667 0.0029166667 0.0014583333 0.008958333 0.001875 0.0020833334 0.0033333334 0.008125 0.0027083333 0.004375 0.0035416668 0.007916667 0.0077083334 0.0016666667 0.0029166667 0.004375 0.00083333335 0.0014583333 0.00083333335 0.011875 0.01875 0.0022916666 0.011666667 0.02625 0.0016666667 0.0029166667 0.0014583333 0.01125 0.0020833334 0.001875 0.0029166667 0.0175 0.0035416668 0.009375 0.0025 0.011041666 0.0022916666 0.0025 0.0022916666 0.013958333 0.0027083333 0.0022916666 0.0014583333 0.06125 0.023125 0.016041666 0.1175 0.010625 0.013125 0.080416664 0.057708334 0.004583333 0.022291666 0.00125 0.019166667 0.008125 0.020208333 0.022083333 0.020416666 0.0020833334 0.0029166667 0.000625 0.0010416667 0.004375 0.00125 0.0027083333 0.00041666668 0.0125 0.00083333335 0.029375 0.000625 0.00625 0.00041666668 0.00083333335 0.0014583333 0.0025 0.00020833334 0.00625 0.003125 0.051875 0.017916666 0.00375 0.003125 0.0022916666 0.000625 0.0016666667 0.0010416667 0.008541667 0.006458333 0.003125 0.00625 5.3698244 0.0 0.0 0.0 2.0 365034.0 774144.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1264668900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 565248.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -4096.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -565248.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6498246 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 -56550.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -562440.0 0.0 5912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 668768.0 160.0 664256.0 5912.0 708608.0 0.0 0.0 3832.0 761856.0 28332.0 716800.0 28.0 570848.0 0.0 0.0 0.0 0.0 24.0 623572.0 64.0 623496.0 0.0 0.0 852.0 569344.0 0.0 0.0 0.0 0.0


Input: 0.32041016 0.012093099 0.0060221353 0.0063964846 0.007454427 0.003531901 0.0033528646 0.0032714843 0.0100911455 0.00234375 0.0028320313 0.0015136718 0.006608073 0.0026692708 0.0011230469 0.006917318 0.0075032553 0.0008951823 0.000764974 0.00081380206 0.003515625 0.0037109375 0.0012532552 0.0007324219 0.0021647136 0.00071614585 0.0008626302 0.00083007815 0.0017740886 0.0010579427 0.000764974 0.0011067708 0.0095865885 0.0011393229 0.00060221355 0.0008789062 0.0063802083 0.00092773436 0.0004394531 0.0005533854 0.0021484375 0.0004394531 0.0004720052 0.0017903646 0.000764974 0.0009765625 0.0012044271 0.00034179687 0.0023763021 0.0006673177 0.0006510417 0.0059733074 0.001171875 0.0020833334 0.0008463542 0.00045572917 0.0014811198 0.0025390624 0.0008463542 0.0056477864 0.0013997395 0.0014322917 0.00060221355 0.00069986976 0.020719402 0.0015950521 0.0007324219 0.0021809896 0.0039550783 0.010839844 0.0035481772 0.0021972656 0.0017740886 0.0014485677 0.0007486979 0.00052083336 0.0021321615 0.005159505 0.0012044271 0.0008789062 0.0072102863 0.0016276041 0.0012369792 0.0052897134 0.0015625 0.002766927 0.006119792 0.0041178386 0.0011067708 0.0071940105 0.00048828125 0.0014322917 0.0011555989 0.0032552083 0.003108724 0.001953125 0.0010091146 0.0033691407 0.0005533854 0.001920573 0.0024414062 0.0069010416 0.0026692708 0.0008463542 0.003873698 0.0034667968 0.005192057 0.0011881511 0.003059896 0.0017578125 0.003531901 0.0039876304 0.0025553384 0.00045572917 0.004736328 0.002701823 0.015722657 0.015315755 0.001936849 0.0011230469 0.0010416667 0.0010742188 0.00035807292 0.00045572917 0.001171875 0.0037760416 0.0010253906 0.0011555989 0.004003906 0.002018229 0.0008951823 0.01608073 0.003857422 0.0068033854 0.0010904948 0.0001953125 0.003125 0.011344401 0.0024414062 0.022216797 0.0016113281 0.0070963544 0.0007486979 0.0008951823 0.001546224 0.00040690103 0.00022786458 0.0002766927 0.0010904948 0.0007324219 0.00029296876 0.0001953125 0.0015136718 0.0005859375 0.00040690103 0.0001953125 0.0010904948 0.0002766927 0.0002766927 0.00017903646 0.00083007815 0.0016276041 0.00056966144 0.001920573 0.0010904948 0.00045572917 0.00026041668 0.00024414062 0.0008789062 0.00034179687 0.00024414062 0.00037434895 0.00091145834 0.00016276042 0.00026041668 0.00026041668 0.0037272135 0.0012858073 0.0007324219 0.00034179687 0.0008789062 0.00056966144 0.00091145834 0.00078125 0.0018391927 0.0005859375 0.0004720052 0.00048828125 0.0008951823 0.00035807292 0.000764974 0.0006510417 0.008577474 0.0032063802 0.0016113281 0.006608073 0.0041341144 0.00092773436 0.002750651 0.005110677 0.0023600261 0.0022460937 0.0007486979 0.0005859375 0.004329427 0.00091145834 0.0010416667 0.0009440104 0.0029459635 0.0013020834 0.00071614585 0.0011881511 0.0014648438 0.00022786458 0.0008626302 0.00071614585 0.0016601563 0.0004720052 0.00048828125 0.0011230469 0.0016113281 0.00056966144 0.00037434895 0.00034179687 0.0032552083 0.0005371094 0.0011555989 0.00040690103 0.0028645834 0.00091145834 0.0012369792 0.00068359374 0.01764323 0.0028971354 0.00071614585 0.005566406 0.0025553384 0.00040690103 0.0006510417 0.0013346354 0.0031738281 0.00083007815 0.00052083336 0.0012532552 0.0018229167 0.00040690103 0.003108724 0.0025553384 0.006526693 0.0024902343 0.0014485677 0.002001953 0.004703776 0.0011881511 0.0045247395 0.046777345 0.084745765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016411215 0.00013241525 4.965572e-05 8.275953e-06 8.2759536e-05 4.1379768e-05 1.6551907e-05 1.6551907e-05 4.965572e-05 1.6551907e-05 1.6551907e-05 4.1379768e-05 0.0 0.0 8.275953e-06 5.7931673e-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 0.01523603 0.0001241393 0.00033931408 4.1379768e-05 0.00021517479 0.00015724312 0.0002813824 0.000115863346 5.7931673e-05 8.2759536e-05 2.482786e-05 0.0001241393 4.1379768e-05 1.6551907e-05 4.965572e-05 4.1379768e-05 0.028792042 0.0005048332 0.00030621028 5.7931673e-05 0.00090207893 0.00033103814 0.0013489804 0.0006951801 0.00018207097 8.2759536e-05 5.7931673e-05 0.0002648305 0.000115863346 5.7931673e-05 2.482786e-05 0.00017379502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025854079 0.00087725103 0.00080276746 0.000115863346 0.0015227754 0.000537937 0.0006372484 0.00057931675 0.0002979343 0.000115863346 0.0002813824 0.00036414195 0.0005875927 0.00025655454 0.00024000264 0.00082759536 0.023801642 0.00025655454 0.00076966366 0.00046345338 0.0008110434 0.00067862816 0.0017545021 0.0012910487 0.0008110434 0.000107587395 0.0001241393 0.000107587395 0.0014400159 0.0003724179 0.00043034958 0.00067862816 0.018008474 0.0004055217 0.00041379768 0.00031448624 0.002110368 0.0012910487 0.0052800584 0.0026400292 0.0010179422 0.000115863346 0.0001241393 0.00034759004 0.0006869041 0.00013241525 0.00052138505 0.00048828125 0.009616658 0.0010841499 0.001257945 0.0003724179 0.00039724575 0.00033931408 0.0014813957 0.0007862156 0.0006869041 0.00013241525 0.00013241525 0.00013241525 0.00013241525 0.00013241525 0.00013241525 0.00013241525 0.009500794 0.0004965572 0.0035834878 0.0014069121 0.0009931144 0.0009434587 0.010485633 0.004965572 0.0005048332 4.965572e-05 6.620763e-05 2.482786e-05 0.00052138505 0.00024000264 5.7931673e-05 5.7931673e-05 0.013224973 0.00028965838 0.001257945 0.00045517745 0.0020524363 0.0010096664 0.005180747 0.0027227886 0.00039724575 0.00019034692 0.00017379502 0.00014896716 0.0011503575 0.0008689751 0.00014896716 0.004626258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05707925 0.007266287 0.0076800846 0.007282839 0.017983647 0.011867717 0.008085607 0.01396981 0.02894101 0.0034179688 0.0030289988 0.0047172937 0.012173927 0.0054124733 0.011776682 0.01965539 0.088205114 0.017305018 0.012264963 0.018728482 0.03272312 0.033037607 0.011685646 0.027517544 0.05282541 0.0050069517 0.006538003 0.009037341 0.029569982 0.008780787 0.029975504 0.057476494 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 310.0 14.706451 4559.0 0.07720991 0.0015354244 0.0008773854 0.0013160781 0.0030708488 0.0019741172 0.00065803906 0.0013160781 0.0028515025 0.0015354244 0.00065803906 0.0017547708 0.0019741172 0.0065803905 0.009212547 0.0017547708 0.008335161 0.0032901953 0.0041675805 0.0032901953 0.0015354244 0.0008773854 0.0048256195 0.0017547708 0.0026321562 0.0028515025 0.0021934635 0.0010967318 0.0019741172 0.0013160781 0.0010967318 0.00065803906 0.0028515025 0.009212547 0.0019741172 0.014038166 0.004386927 0.0061416975 0.008335161 0.008773854 0.0072384295 0.005703005 0.0024128098 0.0017547708 0.005703005 0.008115815 0.0028515025 0.0046062735 0.017547708 0.0026321562 0.008554508 0.033559993 0.007896469 0.005044966 0.023908751 0.019302478 0.0017547708 0.0052643125 0.0013160781 0.0039482345 0.003728888 0.0041675805 0.0035095415 0.0028515025 0.0024128098 0.040798422 0.0061416975 0.022592673 0.020837903 0.07720991 0.008773854 0.007896469 0.010967317 0.04277254 0.0032901953 0.005044966 0.03180522 0.018644439 0.044307962 0.04869489 0.019083133 0.0013160781 0.042991884 0.027198948 0.065584555 0.023031367 0.0065803905 0.0035095415 0.0054836585 0.008773854 0.0030708488 0.00065803906 0.0008773854 0.00065803906 0.0008773854 0.0028515025 5.5122423 0.0 0.0 0.0 3.0 61440.0 69632.0 1.0 0.0 89.0 0.0 0.0 0.0 0.0 0.0 1156207600.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 40960.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5597963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1742022 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.630629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 51820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 45488.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 50656.0 0.0 0.0 364.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.0102663115 0.0044936757 0.003937596 0.0039210743 0.0040125092 0.0038502347 0.0038730935 0.0038366553 0.0038923312 0.0038425396 0.0038429922 0.0038357498 0.003886673 0.0038398237 0.003826018 0.003872641 0.003885315 0.0038687934 0.0038070066 0.0038348446 0.0038778463 0.003819907 0.0038377868 0.003831676 0.0038524978 0.003884636 0.003828281 0.00380927 0.003853856 0.0038079119 0.0038248864 0.0037669472 0.004159168 0.0038289602 0.0038180966 0.0037850533 0.0038409554 0.0038982155 0.0037900324 0.0038640404 0.0038567982 0.0038927838 0.0038355235 0.0038248864 0.0038339393 0.0038366553 0.0038251127 0.0038004431 0.0039158687 0.0038708302 0.0038076856 0.0039303536 0.0038214915 0.003832355 0.0038124383 0.0038271495 0.0038597402 0.0039016104 0.0038518189 0.003825339 0.0038409554 0.00384005 0.0037823373 0.0037972748 0.004194248 0.0041177506 0.003761968 0.0038601928 0.0039002523 0.00404759 0.00393058 0.0038622299 0.0038868992 0.00388871 0.003909079 0.0038513662 0.003842087 0.0038563453 0.0038599665 0.0039009314 0.0039629443 0.0038751303 0.003874904 0.0039586443 0.003849103 0.0039692814 0.0039122477 0.003849103 0.0038047433 0.0038844098 0.0038975365 0.00395276 0.0038633614 0.0038647195 0.0039016104 0.0038463871 0.0038101752 0.003977203 0.003828281 0.0039301272 0.004009341 0.0040985127 0.0040113777 0.0038601928 0.0039457437 0.0039448384 0.0039203954 0.0038328078 0.003961134 0.0038307707 0.0038762619 0.0039498173 0.0039586443 0.0038208126 0.0040265415 0.003991914 0.0041802158 0.003993951 0.0038296392 0.0038961784 0.0038900678 0.0038348446 0.0038276021 0.003820586 0.0038558927 0.0038362024 0.0038273758 0.0038493294 0.0038676616 0.0038373342 0.0038762619 0.0039190375 0.0038515925 0.003906816 0.0038314497 0.0038359761 0.0037789424 0.0040419316 0.003771021 0.004483944 0.0038350709 0.004002551 0.0038051961 0.0038875781 0.0038706039 0.0038061014 0.0037868638 0.0038024802 0.0038049698 0.003800896 0.0038300918 0.0038242072 0.0038656248 0.003847066 0.0038952732 0.0038289602 0.0038210389 0.0038407291 0.0038425396 0.0038889362 0.0038348446 0.0038801094 0.0038407291 0.0038027065 0.0038527243 0.0038540822 0.0037667209 0.0037782635 0.0037846004 0.0038610983 0.003805875 0.0038411818 0.0038509136 0.0038629088 0.0038251127 0.0038271495 0.0038472924 0.0038024802 0.0038450293 0.0038217178 0.0038398237 0.0038002168 0.003768984 0.0038405026 0.0038696986 0.0038631351 0.0038434449 0.0038552138 0.003849103 0.0038624562 0.0038543085 0.0037839215 0.0039991564 0.0038610983 0.003875583 0.004017941 0.0038321286 0.0037637786 0.0038746777 0.003886673 0.0038416344 0.0038862203 0.0038753566 0.0038251127 0.0038613246 0.0038135701 0.003875583 0.0039249216 0.003959097 0.0039022893 0.00385114 0.003869246 0.0038565719 0.0038246599 0.0038620036 0.0037778108 0.0038359761 0.0038687934 0.003861551 0.0038502347 0.0038522715 0.0038298655 0.0037907113 0.0038567982 0.0038540822 0.0037952377 0.003818323 0.0038441238 0.00385114 0.0038479713 0.0038626825 0.0038153806 0.0041786316 0.0038982155 0.0038690197 0.0039502704 0.0038706039 0.0038332604 0.003815607 0.0038051961 0.0038681142 0.0038187755 0.0038364287 0.0038751303 0.003872188 0.0038332604 0.003828281 0.0038429922 0.003913153 0.0038597402 0.0038201334 0.003899347 0.0039342013 0.0038778463 0.0038850887 0.006163499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019596913 3.2831338e-06 3.6227684e-06 2.1510186e-06 4.868095e-06 2.4906533e-06 2.7170763e-06 1.5849612e-06 2.4906533e-06 5.6605757e-07 1.1321151e-06 6.792691e-07 1.4717497e-06 5.6605757e-07 2.8302877e-06 5.4341526e-06 0.00037416405 1.3585382e-06 2.8302877e-06 3.962403e-06 1.4604285e-05 3.5095568e-06 7.3587485e-06 5.320941e-06 2.9434993e-06 1.3585382e-06 3.2831338e-06 3.0567107e-06 1.0528671e-05 1.5509977e-05 3.3963454e-06 1.0528671e-05 0.0005051498 3.6227684e-06 3.962403e-06 6.1134215e-06 1.1547574e-05 9.3965555e-06 2.7170763e-05 1.3585382e-05 7.245537e-06 3.2831338e-06 2.6038647e-06 3.3963454e-06 2.0491283e-05 2.5585801e-05 6.4530564e-06 4.5963872e-05 0.00036046546 2.4906533e-06 5.026591e-05 1.5849612e-06 2.5812225e-05 1.3698593e-05 0.00015408087 8.717286e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050492334 2.2642303e-06 2.4453686e-05 1.1773997e-05 5.9209622e-05 2.2755514e-05 0.00014468431 6.939866e-05 5.5473643e-06 4.0756145e-06 5.5473643e-06 3.849191e-06 1.51703425e-05 1.9019533e-05 6.226633e-06 2.85293e-05 0.0008632378 1.5509977e-05 0.0001239666 3.3850243e-05 7.302142e-05 5.01527e-05 0.00029706702 0.00015385445 1.10947285e-05 4.1435414e-05 1.2566477e-05 1.2000421e-05 3.83787e-05 4.9133796e-05 2.2302667e-05 5.7285026e-05 0.0012586856 2.9661416e-05 7.290822e-05 6.781369e-05 0.00016336421 6.917223e-05 0.00018261017 0.00012136274 4.664314e-05 8.739929e-05 3.4189878e-05 4.358643e-05 6.815333e-05 8.1851926e-05 4.947343e-05 0.00017355324 0.00010630561 1.1321151e-06 3.849191e-06 4.641672e-06 8.038018e-06 6.1134215e-06 7.3587485e-06 5.2077294e-06 4.5284605e-06 3.2831338e-06 4.7548833e-06 4.0756145e-06 1.1773997e-05 1.57364e-05 1.3019324e-05 3.2038857e-05 0.0010189036 3.9850453e-05 9.6229785e-05 0.00011332472 0.00036318254 0.00029242533 0.00035220102 0.00015759042 9.6229785e-05 7.222895e-05 6.668158e-05 6.894581e-05 0.00015464693 0.00020072401 0.00019200673 0.00065640034 0.0011506818 9.6343e-05 0.00012566478 0.00014989205 0.00042918485 0.0004111842 0.0003363514 0.0002928782 0.0004690353 0.000108456625 9.589015e-05 0.00012713653 0.00029355744 0.00023344214 0.00025065028 0.0009942235 0.0017887419 0.00028484015 0.000302954 0.00039114576 0.0006414564 0.00069194875 0.00042103362 0.0004248828 0.0011460402 0.00016234531 0.00014287293 0.00023559315 0.0005772655 0.00031891683 0.00055994414 0.0011843056 0.060803525 0.060925003 0.060874734 0.060712844 0.060881075 0.060708087 0.060821187 0.06108927 0.060756657 0.06088787 0.06091753 0.060861375 0.060840093 0.06070888 0.060821075 0.06095908 20286.0 5.845509 118582.0 0.012716939 0.009419642 0.009959353 0.009630467 0.009689498 0.010338837 0.00980756 0.01011958 0.009832858 0.010018384 0.009622034 0.0098581575 0.009596734 0.010271373 0.010271373 0.010650857 0.011460424 0.0104147345 0.010448466 0.0094280755 0.009765394 0.010237642 0.010068982 0.010035249 0.010085848 0.009883456 0.009934054 0.009917188 0.009976219 0.010220775 0.009925621 0.009352178 0.010111147 0.010633992 0.00938591 0.011089372 0.009908755 0.01026294 0.010254508 0.009934054 0.009849724 0.0103557035 0.01009428 0.010490631 0.009976219 0.010330404 0.010144879 0.0103557035 0.010456899 0.010026817 0.010144879 0.0106592905 0.010279806 0.010296673 0.010254508 0.010389435 0.009748529 0.010246075 0.0104147345 0.010693023 0.009917188 0.010305106 0.010406301 0.010237642 0.009723229 0.012463949 0.010009951 0.011047208 0.011485723 0.014344504 0.010709888 0.010321971 0.010490631 0.012447083 0.010018384 0.010077415 0.011671249 0.010743621 0.0117724445 0.011924238 0.010819517 0.010187044 0.013012093 0.012413351 0.013307247 0.011511022 0.0101027135 0.0100436825 0.010187044 0.010271373 0.009748529 0.010237642 0.0096726315 0.00955457 0.009478673 0.009588302 6.5799713 1.0 15.0 0.0 60.0 4418432.0 159744.0 0.0 0.0 120.0 0.0 1.0 1.0 1.0 0.0 1360002300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.953736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.456709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4048796 -5.013272 5.581505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 41428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 41428.0 114688.0 0.0 0.0 5904.0 4412528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.11697829 0.0047247605 0.003585565 0.0035748754 0.0057784403 0.0032557175 0.0031106456 0.0031869991 0.0050454456 0.0027105527 0.0027227693 0.0022218896 0.0031931074 0.0041139317 0.0023883404 0.0037046764 0.004674367 0.0027945417 0.0026219825 0.0027273505 0.0030709417 0.0031259162 0.0025410478 0.0023883404 0.002990007 0.0029243426 0.002948776 0.0034786698 0.002869368 0.0025120333 0.0024677482 0.0023440553 0.0035825109 0.002145536 0.0021776045 0.0026219825 0.003985658 0.0027502566 0.0024967627 0.0021073592 0.0023242035 0.002058493 0.0019622874 0.0023684886 0.0023394742 0.0025792245 0.0025441018 0.0024097194 0.0030174942 0.0023852864 0.0025990764 0.003269461 0.0023471096 0.0022753372 0.002356272 0.0024020842 0.002823556 0.0027746898 0.0025731162 0.0027441483 0.0026174013 0.002779271 0.0025379935 0.0026845925 0.005706668 0.0040849173 0.0025761703 0.0025868597 0.0035336444 0.0037520158 0.0029808444 0.002818975 0.0030648333 0.0029365593 0.0027273505 0.002505925 0.0029044908 0.0029762632 0.002734986 0.0026830654 0.0038283693 0.0028052311 0.0027991228 0.003141187 0.0026662676 0.0030816311 0.0031671473 0.0035092114 0.0029212886 0.003251136 0.0027991228 0.0028525703 0.002930451 0.0033702478 0.0032404466 0.003356504 0.00301444 0.0034511825 0.0030541439 0.0032770964 0.0038146258 0.004465158 0.0037856114 0.003480197 0.004837764 0.004326195 0.0048759407 0.0034466013 0.0037260556 0.0035000488 0.0037840842 0.0037489615 0.003758124 0.0031702013 0.0040421593 0.003845167 0.0049813087 0.0046514613 0.003145768 0.0035993084 0.004052849 0.0027746898 0.002698336 0.002655578 0.0028540974 0.0030220754 0.0028724223 0.00295183 0.0035626588 0.0031320245 0.0028770035 0.004633136 0.0029365593 0.0037397991 0.0024494233 0.0024937084 0.0029884798 0.004309397 0.002650997 0.0068305926 0.0026403074 0.003797828 0.0022875539 0.002655578 0.0044621043 0.0026021306 0.002608239 0.0026586321 0.002884639 0.0029396135 0.0022799184 0.0024876 0.0025441018 0.0024723294 0.0025013438 0.0024310986 0.002547156 0.0025547913 0.0024982896 0.002632672 0.0032832047 0.0035305903 0.0024509504 0.0025135605 0.0024967627 0.0024555316 0.0022524311 0.0023089328 0.0026800113 0.0022096732 0.0021516443 0.0023730698 0.002356272 0.0021104135 0.0022432688 0.002232579 0.0026494698 0.0022341062 0.0022661746 0.0024891272 0.0024173548 0.0022218896 0.00227381 0.0025914412 0.0025883869 0.0025288311 0.0024295715 0.0023104597 0.002437207 0.0024494233 0.002505925 0.0029732091 0.0054684444 0.0032618255 0.0030037505 0.0036420666 0.0032160135 0.0024524776 0.002843408 0.0030526167 0.0028922742 0.0028938013 0.0024356798 0.0025547913 0.0031259162 0.0026280908 0.002547156 0.0028174478 0.003032765 0.0030037505 0.0029609925 0.0033198544 0.002734986 0.0025868597 0.0027517837 0.003098429 0.0033198544 0.0033656666 0.0030862123 0.0029151803 0.0027701084 0.0022982433 0.002353218 0.0024280443 0.0028983825 0.002930451 0.002634199 0.0024387338 0.002382232 0.002695282 0.002525777 0.0027716355 0.0047186525 0.0028418808 0.0024860732 0.0030281837 0.0031976886 0.002334893 0.0023944487 0.0026235096 0.0034572908 0.0026479426 0.0025868597 0.0029793174 0.0032419737 0.002673903 0.0031946346 0.003484778 0.0038268422 0.0030724688 0.0034679803 0.003735218 0.006923744 0.0069726105 0.004452942 0.11203974 0.04851204 2.2959932e-06 6.1226488e-06 1.3010629e-05 7.653311e-07 7.653311e-07 7.6533115e-06 6.1226488e-06 1.1479967e-05 0.0 1.5306622e-06 7.653311e-07 3.8266558e-06 1.5306622e-06 6.88798e-06 1.4541291e-05 0.0015138249 0.0 7.6533115e-06 1.5306622e-06 7.653311e-07 0.0 1.9898609e-05 1.3010629e-05 6.1226488e-06 0.0 7.653311e-07 7.653311e-07 1.5306622e-06 7.653311e-07 0.0 7.653311e-07 0.0014380572 1.5306622e-06 3.8266558e-06 4.5919865e-06 4.5919865e-06 6.88798e-06 1.0714635e-05 1.5306622e-06 5.3573176e-06 7.653311e-07 2.2959932e-06 1.5306622e-06 6.88798e-06 7.6533115e-06 1.6071954e-05 5.510384e-05 0.0041503906 2.5255928e-05 4.5154535e-05 2.9847914e-05 6.199182e-05 4.4389206e-05 0.00013087162 7.041046e-05 1.7602615e-05 9.183973e-06 1.4541291e-05 2.6786589e-05 2.2959934e-05 2.2959932e-06 1.9133278e-05 3.1378575e-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 0.0025340114 3.1378575e-05 3.7501224e-05 2.831725e-05 5.8930495e-05 4.056255e-05 2.9082583e-05 4.821586e-05 6.122649e-05 2.9082583e-05 2.142927e-05 1.9898609e-05 5.1277184e-05 2.142927e-05 4.285854e-05 7.9594436e-05 0.0023495664 6.88798e-05 8.877841e-05 1.1479967e-05 0.00016607685 4.5919867e-05 0.00013010629 7.500245e-05 1.8367946e-05 1.22452975e-05 1.9133278e-05 9.183973e-06 9.183973e-06 8.495175e-05 7.6533115e-06 3.8266557e-05 0.008901566 7.576778e-05 0.00065359275 0.00012321831 0.0006390515 0.00032296972 0.0017480162 0.0009788584 0.00024031397 6.199182e-05 5.3573178e-05 4.4389206e-05 5.0511855e-05 0.000113269 4.5919867e-05 5.3573178e-05 0.005817282 0.00016301553 0.0003344497 0.00013087162 0.00034363367 0.00021811937 0.00086405885 0.0005188945 0.00019745543 0.00010638103 6.5053144e-05 6.199182e-05 7.423712e-05 7.729844e-05 6.964513e-05 0.00036200162 0.0078431135 0.0001278103 0.00046072932 0.00027628453 0.0008724775 0.00052807847 0.0024245689 0.0012865216 0.00019898609 0.00018367947 0.00014694357 0.00013240229 0.00016607685 0.00015765821 0.00016607685 0.000702574 0.005029756 0.00023266066 0.00035052164 0.0004155748 0.0011334554 0.00069032866 0.001719699 0.0009941651 0.00043088142 0.00042628942 0.00029694848 0.0003176124 0.0005418544 0.0018390907 0.0008265576 0.006698178 0.009777105 0.0034126113 0.001955421 0.0031646441 0.0022982894 0.0019845036 0.0030506097 0.002292932 0.0021084873 0.0016730138 0.0014487718 0.0016699525 0.002505694 0.0036445067 0.00233426 0.027212113 0.012529235 0.0074857036 0.0044182567 0.0038029302 0.0053527257 0.006688229 0.010324317 0.0077971932 0.0056940634 0.005671869 0.0051629236 0.0051789954 0.005766005 0.0067127193 0.0053335926 0.05255146 0.010381716 0.004256772 0.0030238233 0.0036590481 0.0059626945 0.00685354 0.009295711 0.008269403 0.007390037 0.0052647125 0.004694541 0.004596579 0.0065512345 0.004971591 0.0057721273 0.03288092 0.02136881 0.00499302 0.0043447847 0.0047932686 0.008815084 0.00867809 0.0067241993 0.008075008 0.012490204 0.0054009417 0.0041542174 0.003704968 0.008047457 0.0041435026 0.0056297756 0.02186551 0.027802948 0.025640123 0.024750808 0.025047757 0.02489469 0.023675518 0.024181401 0.024717899 0.02519623 0.02431916 0.023615057 0.023626536 0.025096739 0.024315335 0.024692643 0.026546275 1858.0 8.551668 15889.0 0.016929952 0.0059160427 0.0047831833 0.0069230287 0.0070489016 0.007678268 0.0044685 0.0067342184 0.0062936624 0.005727233 0.0050978665 0.0052866763 0.0074265213 0.0057901694 0.010950972 0.0062307254 0.012650262 0.009629304 0.011706212 0.007678268 0.010132796 0.0069230287 0.008999937 0.010006923 0.010069859 0.009566367 0.006482472 0.0070489016 0.0078041414 0.009629304 0.008370571 0.009943986 0.0061048525 0.015041853 0.0059160427 0.013027881 0.01472717 0.011454466 0.011391529 0.010888035 0.008181761 0.011832085 0.0067971554 0.006356599 0.009629304 0.008118824 0.009251684 0.006356599 0.015922965 0.006985965 0.0073006484 0.014286613 0.010132796 0.0074265213 0.008622318 0.011013909 0.008937 0.005349613 0.0067342184 0.005727233 0.008244698 0.005853106 0.0050978665 0.009377557 0.0061048525 0.024104727 0.0066083455 0.015230663 0.020454403 0.049845804 0.008999937 0.010132796 0.013342564 0.025363458 0.0067971554 0.005853106 0.024167662 0.010950972 0.022845995 0.025426395 0.011957958 0.0042796903 0.028447354 0.022468375 0.03442633 0.012902007 0.006985965 0.0061048525 0.009566367 0.008244698 0.0036503242 0.0044685 0.004531437 0.0030838945 0.0050978665 0.0055384226 6.3365154 0.0 7.0 0.0 16.0 654848.0 524288.0 0.0 0.0 137.0 0.0 1.0 0.0 0.0 0.0 1279159200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.498914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3366792 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2731137 0.0 7.3416953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5026.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22002.0 0.0 237284.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 30576.0 237284.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 588.0 28672.0 0.0 0.0 0.0 0.0