Input: 0.02923948 0.004089483 0.0037021914 0.003807499 0.0039043303 0.0036739365 0.005101109 0.0038420034 0.0038934273 0.003563842 0.0035568613 0.0035700582 0.0037326403 0.009968998 0.0035990444 0.0038145129 0.0035110218 0.003459598 0.0033399966 0.003422534 0.0036323518 0.0035967175 0.003439188 0.0035785679 0.0035668337 0.0035407061 0.0033858027 0.0038897374 0.004284442 0.0040365634 0.0042684865 0.004322403 0.0046893847 0.0038640753 0.003850812 0.003473127 0.0037083076 0.0034693377 0.003432573 0.003492972 0.003460961 0.003477515 0.0033866006 0.003445803 0.0034758197 0.0034835648 0.0035861467 0.0035898697 0.003774258 0.003594723 0.0033931823 0.0035962854 0.0034988225 0.0035312658 0.0034141243 0.0035195649 0.0035230885 0.0036560528 0.0034718306 0.0038283744 0.003643388 0.0037403854 0.0036554544 0.0038007179 0.0034841632 0.0034921742 0.0033441517 0.0035727506 0.003573781 0.004281118 0.004079544 0.0038098923 0.0034808724 0.0035195316 0.003315797 0.0034514873 0.0034445066 0.0039005077 0.0034583681 0.0036083518 0.004010735 0.0035775707 0.0034055812 0.0036990666 0.0033984345 0.003631687 0.0036094156 0.00376033 0.003445404 0.0036001413 0.0034232654 0.0035174708 0.0034731936 0.0037117647 0.0036322854 0.0037665793 0.0034247946 0.00398494 0.0034072434 0.0036422908 0.0036537591 0.0043560434 0.003808463 0.0037558756 0.003840308 0.004006314 0.0037770835 0.0036284295 0.0040043527 0.0037059144 0.0040531172 0.0042699487 0.0037915767 0.003811787 0.004041782 0.0040656826 0.0045949467 0.004602127 0.0036953106 0.0038478537 0.0039203195 0.0038693275 0.0036480417 0.0037196097 0.00390935 0.003968419 0.0038535711 0.0040418818 0.005689775 0.0037471333 0.0034829997 0.004078713 0.0036501025 0.0040138266 0.0035769723 0.0037866237 0.0036341136 0.004259644 0.0036494378 0.0053336634 0.0038052388 0.0047259834 0.0036830446 0.0038331945 0.0036632328 0.0035901356 0.0035367173 0.0036233435 0.0036648617 0.0036435209 0.0034898806 0.0036893936 0.0035499472 0.0036127064 0.003555565 0.0036281303 0.0036102466 0.0036287617 0.0036029003 0.0037434436 0.0034849609 0.0035865125 0.0033580132 0.0036852383 0.0033797529 0.0034901134 0.003277038 0.0035367839 0.0033274647 0.0033469773 0.0033136364 0.0033853042 0.003411897 0.003506335 0.0033962072 0.0035565954 0.003427487 0.0035098917 0.0033011045 0.0034573043 0.0034245288 0.0035093266 0.0033869995 0.0034892822 0.0036298255 0.003470102 0.0033847059 0.0034635537 0.0035915982 0.0036629336 0.0036671886 0.0037798092 0.003783366 0.003577072 0.003489781 0.003673604 0.0035159085 0.0035220913 0.0038201972 0.0037812053 0.0034865898 0.0035591219 0.003377393 0.0035545677 0.0035399417 0.003424861 0.0036625348 0.0037074767 0.003561648 0.003479742 0.0033569164 0.003448296 0.0033752986 0.0034466672 0.0035869447 0.00355613 0.003546058 0.0034723626 0.003388728 0.0035236203 0.0035037089 0.003489515 0.0036785903 0.0037982913 0.0036862688 0.0035875097 0.003489083 0.0036325846 0.0036023685 0.0035723518 0.0034289164 0.0037963632 0.0045732735 0.003793272 0.0034431769 0.003803078 0.0037787787 0.0035985124 0.0034917754 0.0039023026 0.0041982145 0.004233151 0.00405571 0.0040180148 0.0040567075 0.004141871 0.0044115228 0.004515401 0.004604088 0.004327057 0.0037839643 0.0038167068 0.004497584 0.003982513 0.010476756 0.015988026 0.0012570454 1.1634846e-07 8.3106045e-08 1.6621209e-07 2.6593935e-07 1.1634846e-07 6.648484e-08 0.0 1.2632119e-06 4.9863626e-08 3.324242e-08 6.648484e-08 3.324242e-08 0.0 0.0 1.8283329e-07 0.00070630165 1.3380073e-05 3.490454e-07 4.9863627e-07 1.51253e-06 6.8146954e-07 3.1580296e-07 3.6566658e-07 2.0111663e-06 3.490454e-07 7.479544e-07 5.983635e-07 5.817423e-07 2.3269692e-07 1.994545e-06 1.89648e-05 0.00021087327 1.6787421e-06 8.144392e-07 4.3215144e-07 5.983635e-07 1.3296967e-07 2.4931813e-07 3.822878e-07 1.0504604e-05 1.4959087e-07 1.6621209e-07 2.3269692e-07 3.3242418e-07 1.8283329e-07 3.98909e-07 1.1152831e-05 0.00056522083 4.005711e-06 4.1885446e-06 1.595636e-06 2.0277876e-06 1.196727e-06 3.0084389e-06 1.2798331e-06 0.00051939616 1.0471362e-06 3.2909993e-06 2.4266965e-06 6.3160593e-07 5.6512107e-07 3.656666e-06 9.789892e-06 0.0003590846 6.232953e-06 6.46565e-06 1.0969998e-06 5.069469e-06 1.5457724e-06 5.2190594e-06 2.6095297e-06 0.00012480866 3.0749236e-06 4.1885446e-06 9.307877e-07 1.3795603e-06 1.1302421e-06 2.6427722e-06 1.9164254e-05 0.00077881996 8.9039815e-05 4.48274e-05 3.641707e-05 1.0620953e-05 1.5972983e-05 6.382544e-06 2.3419283e-05 7.268455e-05 7.4878546e-05 7.6125134e-06 6.46565e-06 4.7370445e-06 5.2024384e-06 7.0640135e-06 0.00048382676 0.014555874 0.0016563367 0.00072465144 5.5913748e-05 5.7110472e-05 6.066741e-05 0.0013389048 0.0023692537 0.0025667136 0.0022254137 0.00022799312 3.8527964e-05 3.1098283e-05 3.118139e-05 3.5968296e-05 0.014089749 0.00615495 0.001142758 0.0010487983 0.00030348665 0.0003255596 0.00015230014 0.0020456386 0.00097606383 0.0006515181 0.0004365228 0.000284472 3.535331e-05 3.6965568e-05 3.8012706e-05 5.88557e-05 0.003975627 0.003063106 0.00025294157 0.00073098415 0.00020661825 0.00028590142 0.00020776512 0.0015850317 0.0008426454 0.00020213053 8.9804395e-05 6.751535e-05 2.8222812e-05 2.627813e-05 3.177975e-05 0.00021241905 0.0011194384 0.0011591299 6.4872576e-05 0.00033194217 8.732783e-05 0.00019047906 0.00017123169 0.0006158823 0.0004842257 0.00017528726 3.8394992e-05 4.359743e-05 2.9053874e-05 2.4931813e-05 3.8594448e-05 0.00019416896 0.00070803025 0.00084832986 4.083831e-05 9.8746605e-05 5.9653517e-05 7.579271e-05 5.998594e-05 0.00016810691 0.000112725036 0.00035763855 0.00011162804 9.387659e-05 8.3106046e-05 8.209215e-05 8.837497e-05 0.00010178828 0.0004086158 0.0008941712 4.9032566e-05 0.00011001578 0.000292633 0.000100292375 0.000108702705 0.00012903045 9.10676e-05 0.000677763 0.00016819002 0.00016948646 0.0001971774 0.00031173078 0.00027182326 0.00020507247 0.0005128806 0.0010268582 0.00013100836 0.00020961007 0.00033945494 0.00034327782 0.00031274467 0.00030591336 0.0002518944 0.0005174182 0.000121617384 0.000108104345 9.4790754e-05 0.00019764279 0.00012490839 0.00023292963 0.00065170095 0.004383362 0.00094543095 0.00066893717 0.0007730857 0.0018001932 0.0016236261 0.00078364013 0.0012024281 0.0029127505 0.00035820366 0.00029909864 0.000410494 0.0011787761 0.00041890432 0.0012737165 0.0028552245 0.0034275758 0.00092502014 0.0007905878 0.000764426 0.0014182046 0.0013434757 0.0007207787 0.0011012215 0.0021547237 0.00037801615 0.00030740927 0.00041775746 0.0010139602 0.0004116907 0.0009503675 0.0018480291 0.053655673 0.05395291 0.053116113 0.054718982 0.053200748 0.053603616 0.053610295 0.055922322 0.054005165 0.05382632 0.0534262 0.054811645 0.054565683 0.05475106 0.05589995 0.058397386 133903.0 6.818107 912965.0 0.021704009 0.011085858 0.009268701 0.008614788 0.008625741 0.00922927 0.010694824 0.009051826 0.008729798 0.00893353 0.009017871 0.0083540995 0.009918233 0.009884278 0.010231499 0.008934625 0.010422086 0.010948941 0.009485577 0.008223754 0.010358557 0.010603911 0.008273045 0.0089444835 0.009102211 0.01071454 0.008702415 0.00903211 0.0085939765 0.010227117 0.009281846 0.009360709 0.00867065 0.010564479 0.00853921 0.008942292 0.010441802 0.010973038 0.010221641 0.008880954 0.010136205 0.011297257 0.0080517875 0.008699128 0.0088437125 0.010544764 0.007868866 0.008866714 0.009271988 0.010298314 0.0092467945 0.010900746 0.009310324 0.011851495 0.008411056 0.011761677 0.008625741 0.010458232 0.007760429 0.009150405 0.00845925 0.009863467 0.007933492 0.008827282 0.007857913 0.017921826 0.009541439 0.011930359 0.01378147 0.0245453 0.010103345 0.012647801 0.010562289 0.017340206 0.007770287 0.0083924355 0.014249177 0.011292876 0.014102403 0.017239435 0.011943502 0.009308133 0.015622724 0.013257901 0.019211031 0.012315916 0.008669554 0.009998193 0.010277502 0.010687157 0.00806055 0.00801126 0.009063874 0.009517342 0.00833986 0.008209515 6.537592 16.0 57.0 0.0 399.0 30083264.0 1171456.0 0.0 0.0 337.0 0.0 1.0 1.0 0.0 0.0 1313986200.0 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 0.0 0.0 6.0 0.0 4.0 0.0 5.0 0.0 415744.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -415744.0 0.0 641536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.465001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2963371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5825715 0.0 6.08762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -415299.0 0.0 641323.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 1.0 1.0 1.0 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 1.0 0.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -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 1.0 1.0 1.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 472488.0 641323.0 528384.0 0.0 0.0 7216.0 30076048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1416.0 421888.0 0.0 0.0 0.0 0.0


Input: 0.12145425 0.010415774 0.007062934 0.008063248 0.0073201577 0.005991169 0.0033528395 0.0037797594 0.012102018 0.0022078368 0.0020113464 0.0016451599 0.006491326 0.0033028238 0.0015469147 0.008586627 0.00756845 0.0016130069 0.0012986225 0.0018327188 0.005780388 0.0023507387 0.0012200263 0.0012003772 0.0038190575 0.0017505501 0.0011878733 0.0012200263 0.0032170825 0.0011825145 0.0010664066 0.0013790048 0.004476407 0.0010199634 0.0015219069 0.0011467889 0.019048844 0.002423976 0.0010146046 0.0010842694 0.0021935466 0.0013557832 0.0010092458 0.0051730545 0.0017255424 0.0011682243 0.0010789105 0.0009467261 0.0038726458 0.0022614251 0.0021971192 0.0062751863 0.0027937351 0.0047461344 0.0022614251 0.002307868 0.0032420903 0.003181357 0.002423976 0.0049336934 0.0026847722 0.002372174 0.002111378 0.0021756839 0.004321001 0.0023025093 0.0017809168 0.0019005974 0.010353254 0.020501086 0.0031152647 0.013291677 0.0028241018 0.001457601 0.0014665324 0.0012003772 0.0043227873 0.007082583 0.0015826402 0.001282546 0.006582426 0.0032188687 0.0013397067 0.003058104 0.0026919174 0.0044406815 0.0033992827 0.0030330962 0.0023346622 0.0044263913 0.0014379519 0.0017684129 0.0036850867 0.004912258 0.0022560663 0.0019416817 0.0020881563 0.0016505187 0.0010521164 0.0015254795 0.003985181 0.003674369 0.0025168625 0.0011932321 0.006096559 0.0051676957 0.005508874 0.0024346937 0.0022953642 0.0012950499 0.0016969619 0.001879162 0.0024114721 0.0009824516 0.00260439 0.00216318 0.00833119 0.008266884 0.0016808854 0.0016826717 0.0023900368 0.0013629283 0.0010253222 0.0010521164 0.0020899426 0.0026115351 0.0017130384 0.001496899 0.0031152647 0.0017916345 0.0011896596 0.009769142 0.0036332847 0.012611106 0.0012593244 0.0011146361 0.0024918546 0.012109163 0.001529052 0.029787933 0.00173626 0.011057046 0.0011289263 0.0011771556 0.002138172 0.0010128183 0.0010896282 0.0013486381 0.0013986538 0.0017684129 0.0009324359 0.0011360713 0.0018291463 0.0011843008 0.0011057047 0.0010074595 0.0014915402 0.0023793192 0.0009895967 0.0013843636 0.0022239133 0.0022060506 0.0013397067 0.0016969619 0.0015469147 0.0018220012 0.00096101634 0.0010253222 0.0018505816 0.0010074595 0.00096816145 0.0011092772 0.0016898168 0.0010163909 0.000971734 0.003368916 0.0020309954 0.0011021321 0.0010217497 0.0011253537 0.0018934523 0.0022596389 0.0021792564 0.0017791305 0.0030759668 0.001361142 0.0011128498 0.001134285 0.0014308068 0.0017791305 0.0012789734 0.0011289263 0.0073005087 0.0058661294 0.0034421533 0.0034760926 0.0030473864 0.0011021321 0.0034975277 0.0056160507 0.0053338194 0.003063463 0.0019774071 0.0013111264 0.0032420903 0.0011950184 0.0014165166 0.0012950499 0.0031134784 0.0016826717 0.0017201835 0.0014022264 0.0026651234 0.0012754009 0.0016951757 0.0013182715 0.0029080568 0.0020167052 0.0011164224 0.0015987167 0.015076167 0.012836177 0.0040709223 0.0017112521 0.004199534 0.0018577267 0.0012146675 0.0010646203 0.0031277686 0.0014843951 0.0010896282 0.0010699792 0.01364536 0.0048300894 0.0012253851 0.0038297751 0.0057000057 0.0010860557 0.0012128812 0.001580854 0.004667538 0.0014629598 0.0015433421 0.0014486696 0.0031849295 0.002195333 0.0027776586 0.0021095916 0.005909 0.0018166424 0.0019988425 0.0034225043 0.008181143 0.0040334105 0.008252594 0.06770521 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010572857 0.00045961153 0.00055278814 0.00038076978 0.0015535407 0.00051605504 0.001411984 0.00083321385 0.0004712586 0.00038972907 0.00051695097 0.00080185634 0.0006818019 0.0005241184 0.00077945815 0.0015723552 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024548452 0.0018276949 0.0024888904 0.0021072247 0.002028383 0.0015669797 0.0016816586 0.0018447177 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058370665 0.015331135 0.021611597 0.01040711 0.03268707 0.020397613 0.013045621 0.013566155 0.0374561 0.0032558057 0.0057276734 0.00499122 0.019472118 0.020557089 0.016534368 0.031359304 0.013893169 0.010734124 0.010665137 0.010536124 0.010951835 0.0104760965 0.010623924 0.010332748 0.011287808 0.010929436 0.010700975 0.010788776 0.010440259 0.010520893 0.010642739 0.01078788 2005.0 10.4024935 20857.0 0.020808361 0.0038835881 0.0055137365 0.0037397516 0.013232967 0.0036438606 0.0041712616 0.0065205926 0.006232919 0.0033561874 0.0046027713 0.0054657906 0.0068562115 0.0044589345 0.0059931916 0.004890444 0.02426044 0.017835738 0.017020665 0.018650813 0.01965767 0.019178214 0.016589155 0.018075466 0.019801505 0.018986432 0.018219303 0.018890541 0.017931629 0.015630243 0.015582299 0.01438366 0.0076712854 0.0081507405 0.0049863355 0.009253488 0.010643909 0.006280865 0.0071438844 0.007815122 0.008342523 0.0057055186 0.0035479695 0.0041233157 0.008198686 0.0057055186 0.00450688 0.0070479936 0.013472695 0.0070479936 0.005897301 0.011458983 0.009684998 0.005753464 0.0077671763 0.009493216 0.005561682 0.0050822264 0.0049863355 0.0044589345 0.0070000477 0.004315098 0.0040753703 0.0073356666 0.00762334 0.017212447 0.008438414 0.016780937 0.016061753 0.035815313 0.007958959 0.00858225 0.011363092 0.017883684 0.0081507405 0.005945246 0.018075466 0.009397324 0.017404228 0.022198781 0.0094452705 0.003595915 0.02339742 0.017739847 0.032027617 0.011794602 0.0055137365 0.006232919 0.009301433 0.007863067 0.0046027713 0.0038835881 0.006568538 0.0035479695 0.0034041328 0.0056096273 6.321652 0.0 9.0 0.0 6.0 559824.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 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 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 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 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 -1.0 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 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553840.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.39039025 0.017456055 0.012704702 0.0036151593 0.008451021 0.0045917216 0.009286733 0.004338191 0.005418044 0.0025728666 0.013981746 0.0026104266 0.0030141978 0.0019155649 0.005925105 0.0013803336 0.0016432542 0.005051833 0.003483699 0.0037935697 0.0020939754 0.0018122747 0.0037184495 0.0020376353 0.0012488732 0.0011174128 0.001164363 0.0012300932 0.0011361929 0.0014554537 0.000779372 0.0014178937 0.00785945 0.0010141226 0.00060096156 0.00080754206 0.0011361929 0.000779372 0.0009765625 0.001558744 0.0049015926 0.0009390024 0.0016995943 0.0020188552 0.004939153 0.002328726 0.01568134 0.00081693206 0.0072397087 0.0029578577 0.0021033655 0.0025916467 0.0018404447 0.0029860276 0.0011549729 0.0036245494 0.001539964 0.0022536058 0.0005821815 0.00060096156 0.00075120194 0.0042442908 0.0012207031 0.00040377103 0.0006666917 0.0034555288 0.0011925331 0.005483774 0.004310021 0.0036621094 0.0036057692 0.0011549729 0.00076059194 0.0033334584 0.000384991 0.0018967849 0.0016995943 0.0026104266 0.0028733474 0.0014460637 0.0043288013 0.001183143 0.0020845854 0.0058218148 0.00399076 0.00081693206 0.0024320162 0.0028357874 0.0004695012 0.00034743088 0.000394381 0.00022536058 0.00029109075 0.0002629207 0.0001971905 0.0037184495 0.00025353066 0.018282376 0.00772799 0.0064227763 0.0064697266 0.037278395 0.0026010366 0.0044508716 0.003108098 0.018010067 0.00030987078 0.0022536058 0.015193059 0.012347882 0.017052284 0.02369103 0.008263221 0.0020658053 0.020395132 0.014366737 0.028057393 0.012056791 0.0026667668 0.0031738281 0.0038123499 0.005962665 0.0013803336 0.0038311298 0.00037560097 0.001183143 0.0008263221 0.0003192608 0.0013991136 0.0012207031 8.451022e-05 0.00014085036 0.00015024039 0.00018780048 0.00061035156 0.00016902044 0.00033804087 0.0003568209 0.00013146034 0.00022536058 0.000769982 0.00033804087 0.0004601112 0.00015024039 0.0001971905 0.000394381 0.0001971905 0.0001596304 0.00016902044 0.0002723107 0.00021597055 0.0001596304 0.00016902044 0.00018780048 0.0012488732 0.00013146034 0.00014085036 0.00024414062 0.00012207031 0.0001596304 0.00018780048 0.00025353066 0.00049767125 0.0001596304 0.00029109075 0.001577524 6.573017e-05 0.00011268029 0.0002347506 0.00020658053 0.000103290266 0.0002347506 0.00013146034 0.00011268029 0.00015024039 0.00013146034 0.0001596304 0.00036621094 0.00018780048 0.00015024039 0.00024414062 0.00017841045 0.00013146034 0.00018780048 0.00016902044 0.00029109075 0.00012207031 0.00015024039 0.00022536058 0.00034743088 0.00014085036 0.0001596304 0.00032865084 0.00028170072 0.00018780048 0.00041316106 0.0005070613 0.00037560097 0.0002629207 0.00013146034 0.0007324219 0.00025353066 0.00017841045 0.00014085036 0.0003192608 0.0002723107 0.00033804087 0.00024414062 0.0001596304 0.00045072116 0.0008544922 0.00018780048 0.00025353066 0.00025353066 0.00018780048 0.00021597055 0.00029109075 0.0005915715 0.00016902044 0.0001596304 0.0002723107 0.00030048078 0.0003568209 0.0002347506 0.00014085036 0.0001596304 0.00013146034 0.00013146034 0.00018780048 0.00014085036 0.00013146034 0.00015024039 0.00017841045 0.00017841045 7.5120195e-05 0.00014085036 0.0001596304 0.00013146034 7.5120195e-05 0.00014085036 0.00020658053 0.00017841045 6.573017e-05 0.0002347506 0.00029109075 0.00015024039 6.573017e-05 0.00011268029 0.00022536058 0.0001596304 8.451022e-05 0.0001596304 0.00021597055 0.00016902044 0.0016526442 0.0081881005 0.07764146 0.0 0.0 9.481189e-06 0.0 0.0 0.0 0.0 9.481189e-06 0.0 0.0 0.0 0.0 0.0 0.0 9.481189e-06 0.009258381 1.8962379e-05 1.4221784e-05 0.0 0.00011377427 0.0 0.0 0.0 3.3184162e-05 0.0 0.0 0.0 3.7924758e-05 0.0 4.7405947e-06 0.00022754855 0.009111423 6.162773e-05 9.955249e-05 0.0 6.162773e-05 2.3702973e-05 0.00013273665 7.5849515e-05 2.3702973e-05 1.4221784e-05 1.8962379e-05 1.8962379e-05 2.8443568e-05 4.7405947e-06 1.8962379e-05 1.4221784e-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 0.024328731 0.0006968674 0.0006115367 0.00023228914 0.00034132283 0.00030339806 0.0012183328 0.0008248635 0.00013747724 3.7924758e-05 6.162773e-05 9.00713e-05 5.6887136e-05 6.6368324e-05 2.8443568e-05 9.00713e-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 0.0065562422 2.3702973e-05 7.110892e-05 4.7405945e-05 0.00043139412 2.3702973e-05 9.481189e-05 0.00027495448 0.00032710104 0.0 0.0 0.0 0.00015643962 0.0 4.7405947e-06 0.001697133 0.054151814 0.0018820161 0.0037877352 0.0011045586 0.005546496 0.003332638 0.028467271 0.016904961 0.0002512515 0.00013747724 0.00015643962 0.00015643962 0.00019436439 0.00011377427 0.00011377427 0.00020384557 0.13917913 0.011628679 0.010870184 0.0056176046 0.014956576 0.007850424 0.04934485 0.030922899 0.0014885467 0.0011472239 0.0019009785 0.00092915655 0.0013889943 0.00086278823 0.0005404278 0.0029249468 0.084387325 0.013140928 0.010163835 0.0042238696 0.0057740444 0.0042286105 0.024755385 0.017507017 0.0029533904 0.0013131447 0.00092915655 0.0006304991 0.001204111 0.0020147527 0.00032710104 0.001204111 0.05971727 0.0029439093 0.017260505 0.020702178 0.008874393 0.010884405 0.059835784 0.03522262 0.00046457828 0.0003555446 0.00039346935 0.00032710104 0.000853307 0.00066842383 0.00020384557 0.0045936364 0.016957108 0.0022897073 0.0038256599 0.0025883648 0.0018251289 0.0019199408 0.009391118 0.0056318264 0.00048828125 0.000526206 0.00047880007 0.0004456159 0.00055464957 0.0006162773 0.00039346935 0.0006115367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018962378 0.00012799606 0.00096234074 0.001204111 0.00046931888 0.0005641308 0.0027068795 0.0016402458 0.00023228914 0.00024651093 0.00018488319 0.00023702973 0.00019910498 0.0002512515 0.00023228914 0.00026073272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017966854 0.0006304991 0.0007584951 0.0007158298 0.0004550971 0.0005309466 0.001076115 0.0007110892 0.0003650258 0.00041717233 0.000350804 0.00038872877 0.00031287925 0.00038398817 0.00038872877 0.0004266535 1012.0 25.534584 25841.0 0.022561047 0.0012770403 3.8698192e-05 0.00027088734 0.00050307653 7.7396384e-05 0.00034828373 0.0017027205 0.00027088734 3.8698192e-05 0.000116094576 0.00023218915 0.016640224 0.00081266207 0.039433457 0.00019349097 0.023954181 0.0073526567 0.0051081614 0.006965675 0.0037537247 0.010796796 0.0037150264 0.008823188 0.00363763 0.007236562 0.00042568013 3.8698192e-05 0.00015479277 0.015479277 0.00019349097 7.7396384e-05 7.7396384e-05 0.006462598 0.0016253241 0.010642003 0.01199644 0.005843427 0.008204017 0.0021670987 0.00081266207 0.006191711 0.00030958554 0.006191711 0.0029410627 0.0049146707 0.0037150264 0.0021670987 0.01006153 0.001818815 0.0051081614 0.017723773 0.010332418 0.0012770403 0.006694787 0.009558453 0.00069656747 0.00023218915 0.00015479277 0.0 0.00034828373 0.0 0.0 0.014318331 7.7396384e-05 0.043419372 0.017917262 0.01520839 0.016795015 0.0963972 0.007391355 0.010835494 0.0053790486 0.043767657 0.00027088734 0.0064239 0.035718434 0.03320305 0.046824813 0.042722806 0.006810882 0.0023605898 0.04837274 0.04198754 0.061530128 0.03533145 0.0065012965 0.011299872 0.0029797608 0.021554893 0.002205797 0.0008900584 7.7396384e-05 0.00085136027 0.0 7.7396384e-05 5.337322 0.0 0.0 0.0 1.0 106496.0 122880.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1185797100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 8.0 0.0 4.0 0.0 4.0 0.0 94208.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94208.0 0.0 4096.0 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 -5.430431 0.0 3.3829055 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 -90612.0 0.0 2248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 98712.0 2248.0 106496.0 0.0 0.0 0.0 0.0 12.0 114688.0 28.0 98532.0 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: 0.14227316 0.008620433 0.004181071 0.0034198605 0.0062337327 0.0039438913 0.002026584 0.0019582862 0.007874124 0.001508762 0.0016999961 0.0015037949 0.0045685065 0.0013709245 0.0012293616 0.0038855278 0.0061567426 0.0015037949 0.0011858994 0.00089532294 0.0024686574 0.0019806381 0.0007674197 0.0008257833 0.0023059845 0.0007550019 0.00083075045 0.0007115396 0.0016167968 0.0006047466 0.0005948123 0.0005662514 0.0038880114 0.0005873617 0.000653176 0.00054389937 0.0041624447 0.0013200116 0.00046566728 0.00056252605 0.0011858994 0.00065441773 0.0005848781 0.00094499416 0.0011076672 0.0023469632 0.00067801157 0.0005190638 0.005969234 0.0026536826 0.0035539728 0.010045996 0.0036905685 0.0018862629 0.0031566033 0.0015646421 0.0042208084 0.0019346924 0.00071650674 0.0014864099 0.0016714351 0.0009785222 0.00046690906 0.00053023983 0.011808081 0.003940166 0.0049162046 0.008853887 0.0038805606 0.0326588 0.0032782976 0.0027170135 0.0033937832 0.0035589398 0.002195466 0.0023618646 0.0027182552 0.004400866 0.0011635473 0.0015360812 0.009087342 0.002150762 0.0020625957 0.009786463 0.003214967 0.0138806105 0.0032323517 0.0021023327 0.0019322088 0.0065342435 0.0027505413 0.003269605 0.001570851 0.0046517057 0.0023854582 0.0036160618 0.005782967 0.004420735 0.0018316247 0.003269605 0.009371709 0.006146808 0.0040618605 0.0015460154 0.007934971 0.0042543365 0.0037812183 0.001384584 0.0035999184 0.0017459418 0.004496483 0.004065586 0.0032186923 0.0017074466 0.005032932 0.0038594503 0.0102993185 0.0055706226 0.0018390754 0.0011213268 0.0029144562 0.0012678568 0.0005327234 0.0005923288 0.0016590173 0.002527021 0.0010666886 0.00087793806 0.0052626613 0.0011623056 0.001092766 0.009096034 0.0031330094 0.0032385606 0.0010381276 0.0006208897 0.0026723093 0.015244084 0.002241412 0.051916312 0.0012008006 0.011040661 0.0008605531 0.00068297866 0.0026661004 0.00044579883 0.0007301663 0.00064820884 0.0011275357 0.000940027 0.0015174544 0.00056997675 0.0011784487 0.000591087 0.0005016789 0.00071526493 0.0009598955 0.00047808507 0.00046690906 0.00042096322 0.0009002901 0.0033416285 0.00046815083 0.0025605492 0.0014292881 0.0008208162 0.0005662514 0.00045449127 0.0010505454 0.0004594584 0.0005116131 0.0004892611 0.0008506189 0.00045200772 0.00074506766 0.0006606266 0.0013299457 0.0006879458 0.0017372494 0.0005389323 0.0008816634 0.0006730445 0.00071526493 0.0015857524 0.0031628122 0.002544406 0.0046690907 0.0008270251 0.0010045995 0.00048181042 0.0008568278 0.0007177485 0.012044018 0.0011536131 0.00229605 0.010389969 0.004374789 0.0010629632 0.0035713576 0.0033813654 0.0018775705 0.0017720192 0.0009872146 0.0013075938 0.00168882 0.00089656474 0.0009959071 0.0009462359 0.0028858953 0.0011548549 0.0029864796 0.0013585067 0.0018204487 0.00077114505 0.0016105879 0.0008791798 0.0033813654 0.00065690133 0.0010902823 0.0017943713 0.0015025531 0.0007214738 0.00056500966 0.0008456518 0.002448789 0.0006606266 0.0008816634 0.0009946653 0.0024425802 0.0024413383 0.00055259187 0.00069663825 0.027719 0.006049949 0.001097733 0.005923288 0.006559079 0.0010468201 0.00068297866 0.00075748545 0.0072718603 0.0009810057 0.001824174 0.0009226421 0.009174266 0.002179323 0.0041127736 0.0026040114 0.010108084 0.0030659535 0.0030858219 0.0036272376 0.01494854 0.0040121893 0.004318909 0.069210574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035268213 0.0 0.0 0.0010095292 0.00055919087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010334768 0.0 0.0 0.0044461587 0.0030534684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011774731 0.0 0.0 0.000780006 0.0005902916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 15.938657 85224.0 0.005491411 0.00012907162 0.00056322163 9.387027e-05 0.0033793298 0.0005749554 0.00012907162 0.00017600675 0.00039894864 0.00041068243 0.0007392284 0.0005866892 0.00050455274 0.0143738855 0.001138177 0.00046935136 0.027726931 0.01636863 0.028782971 0.011299634 0.024476673 0.01370506 0.025908194 0.010536938 0.028008543 0.01364639 0.00083309866 0.00051628647 0.0009621703 0.00053975405 0.00011733784 0.00014080541 0.0013728527 0.008600864 0.0074626864 0.0146320285 0.0071928096 0.016263025 0.004763916 0.003097719 0.0049633905 0.01774148 0.0024758284 0.0040246877 0.0068759974 0.0067234584 0.004470572 0.009293157 0.013012766 0.0026401014 0.006031165 0.020639725 0.013177039 0.006312776 0.0059490283 0.003520135 0.0028043743 0.0053975405 0.0015371257 0.0030155824 0.0011733784 0.002816108 0.002933446 0.022376327 0.00025814323 0.030707313 0.013599455 0.026835164 0.02672956 0.052919365 0.012308739 0.00998545 0.019137802 0.034732 0.007978973 0.0066530555 0.024676148 0.011745518 0.038299073 0.03423918 0.01900873 0.0026049 0.039730594 0.028407492 0.04192481 0.010888952 0.010935887 0.0057847556 0.0143738855 0.006735192 0.0010560405 0.0002933446 0.00055148784 0.00025814323 0.00030507837 0.00031681216 5.763366 0.0 2.0 14.0 4.0 805296.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.580421 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.21917242 0.0008461896 0.0007116011 0.00060564844 0.000850485 0.0003822887 0.00025199557 0.0005104342 0.0003500734 0.00020832587 0.00018541719 0.00029566526 0.00019543974 0.00018684898 0.00015177006 0.00029924474 0.00015248595 0.00017467875 0.00018756487 0.00016394029 0.00033217596 0.00011167985 0.00011740702 0.00019543974 9.950961e-05 0.00016394029 0.00029996064 0.00014389519 0.00017109927 0.00013244085 0.0002233597 0.00054336543 0.00025056378 0.00021333715 0.00023051866 0.00029065396 0.00023624583 0.0003056878 0.0006163869 0.00057629665 0.0007158965 0.0011511615 0.0027855532 0.0006815335 0.0005956259 0.00047320756 0.00048609372 0.00027633604 0.0003071196 0.0002441207 0.00023266635 0.00018541719 0.00019687154 0.00021978022 0.0001617926 0.0028950854 0.00023266635 0.00023910943 0.00027275656 0.00021691664 0.00017825823 0.00039732255 0.00025127968 0.00036940258 0.00017396285 0.00016966746 9.807782e-05 0.00014461108 0.00016036081 0.00019329206 7.516913e-05 0.0001610767 0.00012886137 0.00013029316 0.00019400795 8.232809e-05 0.0008275763 0.0001610767 9.306654e-05 0.00016036081 0.0001839854 0.00014317929 8.733937e-05 0.00013458854 0.001237785 0.00021333715 0.00017253106 0.0001023732 0.00014962237 0.000114543436 0.00014317929 0.00014604288 0.00025056378 0.00022765508 0.0002040305 0.00013458854 0.00020045102 0.00022192791 0.00018541719 0.00021763254 0.00017754233 0.00012957727 0.00038586822 0.00032000573 0.0002648817 0.0003915954 0.0001625085 0.0004474353 0.00017682643 0.00016036081 0.00020760998 0.00020116691 0.0003479257 0.00027633604 0.00047965065 0.0002655976 0.00019901922 0.00021548485 0.00025056378 0.00017897412 0.00041736764 0.00022121202 0.00053620647 0.0009313813 0.00031213087 0.00025414326 0.00041235637 0.0009786305 0.00055768335 0.00022908687 0.00027919962 0.00030139243 0.00029423344 0.0002663135 0.00029494936 0.00039947024 0.00031213087 0.00037298206 0.00037512975 0.00034005084 0.0006464545 0.0004674804 0.0007166124 0.0031835916 0.00078390667 0.0003679708 0.0007781795 0.000587751 0.0003837205 0.0011024806 0.0006450227 0.00048394603 0.001099617 0.0007975087 0.0006314207 0.00052260444 0.0004875255 0.00064144324 0.0004087769 0.0004266743 0.00070802163 0.0004889573 0.0013659305 0.00041951533 0.00036295952 0.00082614453 0.0004488671 0.0010602426 0.00060206896 0.00084475783 0.0008547804 0.0011010488 0.0009578695 0.0008354512 0.0007631456 0.00066005654 0.0016780613 0.00050399115 0.0006128074 0.0015313026 0.00077173644 0.001030891 0.0012055697 0.0005347747 0.0014532699 0.00092565414 0.0011726384 0.0010473565 0.0009779145 0.0017510828 0.0011919676 0.0020360097 0.0017517987 0.0012556824 0.0014138955 0.001223467 0.002289437 0.0017317536 0.0018799441 0.0012220353 0.0019121595 0.002656692 0.002656692 0.0020832587 0.011393492 0.0022729714 0.0022851415 0.0029702545 0.0022572216 0.0023531518 0.0026495329 0.0028571428 0.0039739413 0.0030826502 0.0028821991 0.0019651358 0.0025965564 0.0020882702 0.002351004 0.002953789 0.0024054123 0.0038372052 0.0025772273 0.003063321 0.0037606042 0.0051909653 0.0034950066 0.0036439132 0.0042144824 0.0040627127 0.040522605 0.004482228 0.0044765007 0.004998389 0.0039589074 0.004999821 0.0057980455 0.005020582 0.006024269 0.0063449903 0.008258582 0.007738125 0.011213803 0.011249597 0.013376526 0.0151204495 0.01760461 0.025412893 0.026529692 0.029403301 0.030459248 0.029749794 0.027870566 0.024221642 0.01732899 0.19703619 1.4329604e-06 0.0 0.0 0.0 0.0 3.582401e-07 7.164802e-07 0.0 3.582401e-07 1.0747203e-06 7.164802e-07 0.0 0.0 2.1494407e-06 3.618225e-05 0.0014243627 1.2180163e-05 3.582401e-06 4.2988813e-06 5.0153612e-06 9.6724825e-06 8.956003e-06 9.6724825e-06 1.3971364e-05 1.1105443e-05 8.956003e-06 6.806562e-06 5.3736017e-06 7.164802e-06 1.2180163e-05 0.00017732885 0.007774168 0.002709728 1.1463683e-05 0.00014150483 1.1463683e-05 1.0747203e-05 1.00307225e-05 1.00307225e-05 2.0419686e-05 1.1105443e-05 1.00307225e-05 1.00307225e-05 8.597763e-06 8.956003e-06 1.1821923e-05 5.5885455e-05 0.0013602376 0.004676108 2.7226248e-05 4.6212972e-05 3.1525127e-05 1.0388962e-05 2.5076806e-05 1.2538403e-05 2.2569126e-05 5.0153612e-06 7.164802e-06 3.2241608e-06 7.523042e-06 5.5885455e-05 0.00022031766 0.0006308608 0.0154949585 0.009126883 9.314243e-06 1.1463683e-05 5.0153612e-06 1.2180163e-05 1.4329604e-05 5.0153612e-06 5.3736017e-06 7.164802e-06 1.5404325e-05 5.7676654e-05 0.00010747203 0.00048434062 0.0013394597 0.010172227 0.029250303 0.054161604 7.988754e-05 9.2067705e-05 4.227233e-05 4.3347052e-05 6.448322e-05 5.9467857e-05 7.451394e-05 9.887427e-05 0.00036253897 0.0013290708 0.0024449886 0.0058998563 0.0046736 0.020531457 0.15875804 0.030329322 0.0002170935 0.0005996939 0.00052517996 9.2067705e-05 0.00010890499 0.00016729813 0.00040051242 0.00055348093 0.00053127005 0.0006949858 0.0012223152 0.0030672518 0.002623034 0.024001012 0.074264966 0.027829882 0.0006032763 0.0024080898 0.0010073711 0.00034211928 0.00026581416 0.00046033852 0.00092640886 0.0015146391 0.0017471369 0.0010238502 0.0016744143 0.005157941 0.0038700677 0.0060886485 0.06833752 0.028102145 0.0005896632 0.0034154612 0.0014494394 0.00045281547 0.0005266129 0.0005592128 0.0011857747 0.0024557358 0.0020953463 0.0011975967 0.002182757 0.005207736 0.004371962 0.0075459694 0.059718266 0.016138358 0.00041305082 0.0014540965 0.001183267 0.0003288644 0.00052517996 0.0006681178 0.0009790702 0.0017166865 0.0018270245 0.0016586516 0.0020376698 0.0048649004 0.006782918 0.013340503 0.03705743 0.02350449 0.00077845575 0.000813205 0.00083111704 0.0004513825 0.0007161219 0.0008296841 0.0011714451 0.0013193983 0.0014558878 0.0032431476 0.0040205284 0.008127035 0.0087804645 0.016340047 0.022995431 0.017009597 0.00029375686 0.00050726795 0.00065952004 0.0006000522 0.00059181266 0.00043991883 0.0009002574 0.0006426827 0.0010571665 0.0016794296 0.0025975988 0.0048097316 0.0068821507 0.009130465 0.01236 0.008649707 0.00012072691 0.0002726207 0.0005484656 0.00039083994 0.0004993867 0.00039979594 0.00042952987 0.00048362414 0.00072400324 0.0010037888 0.001599542 0.0025993902 0.0033456043 0.0027279984 0.0033509778 0.0027118775 6.3050255e-05 0.00011821923 0.00030414585 0.00020491333 0.0002876668 0.00022210887 0.00014795316 0.00021960118 0.0003120271 0.00039907946 0.00052482175 0.00065701234 0.0009550681 0.0003012799 0.000641608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 133.0 9.007519 1198.0 0.01836394 0.05175292 0.025041737 0.010016695 0.02003339 0.014190317 0.012520868 0.007512521 0.014190317 0.013355592 0.0058430717 0.00918197 0.012520868 0.004173623 0.006677796 0.006677796 0.011686143 0.010016695 0.008347246 0.00918197 0.008347246 0.003338898 0.011686143 0.011686143 0.021702837 0.021702837 0.0442404 0.023372287 0.019198664 0.020868113 0.008347246 0.008347246 0.008347246 0.006677796 0.003338898 0.006677796 0.007512521 0.003338898 0.0050083473 0.0058430717 0.003338898 0.0025041737 0.003338898 0.003338898 0.006677796 0.003338898 0.004173623 0.003338898 0.0025041737 0.0050083473 0.006677796 0.0050083473 0.004173623 0.004173623 0.001669449 0.003338898 0.003338898 0.004173623 0.003338898 0.001669449 0.010851419 0.0050083473 0.006677796 0.004173623 0.0050083473 0.010851419 0.0050083473 0.00918197 0.00918197 0.007512521 0.007512521 0.0050083473 0.004173623 0.012520868 0.0025041737 0.006677796 0.0058430717 0.010016695 0.016694492 0.012520868 0.013355592 0.021702837 0.015859766 0.021702837 0.015025042 0.010016695 0.013355592 0.015859766 0.016694492 0.008347246 0.01836394 0.00918197 0.011686143 0.02587646 0.011686143 0.01836394 6.2349396 0.0 0.0 0.0 1.0 1396850.0 2785280.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1260775800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 5.0 2.0 0.0 1024.0 4096.0 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 0.0 512.0 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 2775552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0661373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9923925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2775056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2775056.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.42504257 0.0038874699 0.0020407652 0.0034242289 0.043744992 0.0013333834 0.0017340245 0.0016776843 0.0020032052 0.0014961439 0.0014085036 0.0011393229 0.001940605 0.0013396434 0.0013897235 0.0041316105 0.0021471854 0.017809745 0.0013333834 0.020420173 0.0014022436 0.0011393229 0.0013208634 0.0011455829 0.0017340245 0.0012958234 0.0012081831 0.0012707833 0.0016401242 0.0013834635 0.0014648438 0.0013396434 0.016294822 0.0014398036 0.0012269631 0.0013396434 0.0013208634 0.0012269631 0.001195663 0.0010642027 0.0012707833 0.0011268029 0.0010892428 0.0010016026 0.0012770433 0.0008951823 0.0013333834 0.0012144431 0.0019280849 0.0021471854 0.0019969451 0.001978165 0.0022536058 0.0018279246 0.0021096254 0.0020032052 0.0023224659 0.0011330629 0.0013271234 0.0013020834 0.0017402845 0.001170623 0.0012520032 0.0012207031 0.0022911658 0.001965645 0.0013959836 0.0022160457 0.0019218249 0.0037059295 0.0020971054 0.0022223056 0.0019155649 0.0015024039 0.0008576222 0.00094526244 0.0018780048 0.0020470251 0.0012895633 0.0013333834 0.0026292067 0.0013521635 0.001565004 0.002716847 0.0016213441 0.0023725461 0.0012019231 0.0025916467 0.0013834635 0.0009390024 0.0011205429 0.0010704627 0.0011268029 0.0013772035 0.0009828225 0.0011142829 0.0017402845 0.0041316105 0.0013208634 0.019819211 0.0030486279 0.007055038 0.0013271234 0.0020908453 0.0022911658 0.0034304888 0.0012269631 0.001151843 0.0036308093 0.0018592248 0.0032364284 0.0040940503 0.0024914865 0.0012207031 0.0038186098 0.0033365886 0.005177033 0.0023850661 0.001571264 0.0013897235 0.0019280849 0.0013208634 0.0010892428 0.001158103 0.0012582632 0.0018717448 0.0010767228 0.001151843 0.043037612 0.0029422075 0.0012833033 0.0023975861 0.0014210236 0.0025040065 0.0011455829 0.001158103 0.0012144431 0.0012269631 0.0008513622 0.0021346654 0.0010642027 0.0024163662 0.0012269631 0.0011017629 0.017828526 0.0010829828 0.0008325821 0.0013146034 0.00094526244 0.0012582632 0.0010829828 0.00088266225 0.0013208634 0.0010454226 0.0008200621 0.0011080229 0.0011017629 0.0013459035 0.0009264824 0.001170623 0.001546224 0.0010642027 0.0009327424 0.0012707833 0.0010391626 0.0011017629 0.0007386819 0.0011080229 0.0011393229 0.0010892428 0.000776242 0.0008638822 0.0011017629 0.0010516827 0.0008638822 0.0008513622 0.0012207031 0.00095778244 0.0010266426 0.0010454226 0.0010579427 0.001583784 0.0009327424 0.0011393229 0.0012520032 0.00095778244 0.0009202224 0.0010391626 0.0010955028 0.001151843 0.0010516827 0.0010579427 0.0016651643 0.0015149239 0.001934345 0.0016776843 0.0021471854 0.0011205429 0.0010329026 0.0037372296 0.0012958234 0.0020219851 0.0009703025 0.0009202224 0.0011268029 0.0009890825 0.0010203826 0.001164363 0.0014335436 0.001158103 0.0009264824 0.00088266225 0.0010454226 0.0010579427 0.0009953425 0.0009327424 0.0013333834 0.0011080229 0.00094526244 0.0010141226 0.0012207031 0.0011017629 0.0009014423 0.0010141226 0.0017778445 0.0014836238 0.0010203826 0.0010704627 0.0013146034 0.0010141226 0.0009202224 0.0010203826 0.0025415665 0.0017778445 0.0009139623 0.0011017629 0.0022160457 0.0009890825 0.001176883 0.001158103 0.0016338641 0.0014085036 0.0009953425 0.0014585837 0.0012019231 0.00095778244 0.001176883 0.0028858674 0.0012645232 0.0010704627 0.0010266426 0.0012019231 0.0014836238 0.0011080229 0.0017966246 0.014930138 0.30322582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005216734 9.450605e-06 0.00033707157 0.00010080645 3.4652217e-05 2.5201613e-05 9.450605e-06 1.5751008e-05 0.00038117438 1.5751008e-05 0.0 3.1502016e-06 9.765625e-05 2.2051412e-05 3.780242e-05 0.00014490927 0.015133568 0.00016381049 0.00017011088 0.001625504 0.00024886592 0.00016066029 0.00012915826 0.00013545867 0.00029296876 0.00013860887 0.00013230847 0.00015120968 0.00015435988 0.00014490927 0.00023941533 0.00033392137 0.008014113 0.0 0.00018586189 0.00027091734 0.0005985383 0.00024886592 0.0023406 0.0011435231 3.1502016e-06 3.1502016e-06 3.1502015e-05 6.300403e-06 3.1502016e-06 4.7253023e-05 6.300403e-06 0.0 0.004715852 5.670363e-05 7.245463e-05 0.0001795615 0.0002047631 0.00011970766 4.4102824e-05 6.6154236e-05 0.00015751008 3.1502015e-05 2.2051412e-05 2.2051412e-05 0.0001764113 2.8351815e-05 0.00010080645 0.00045362904 0.016018774 0.00028981853 0.00024256553 0.0003622732 0.005358493 0.0032573084 0.01624874 0.0074187247 0.0008978075 0.0002205141 0.0001827117 0.00022681452 0.00024886592 0.0002016129 0.00021736391 0.0002205141 0.005137979 0.03298576 0.0008001512 0.00049773185 0.0017105595 0.0013545867 0.018195564 0.0025611138 0.00057333667 0.015083165 0.0005607359 0.0005638861 0.00045677923 0.0005859375 0.00044417844 0.002359501 0.004655998 0.0020696823 0.00085055444 0.00026461695 0.0001921623 0.00023311492 0.0010521674 0.00018901209 0.0009954637 0.0010238155 6.6154236e-05 9.765625e-05 0.00024256553 7.245463e-05 0.00015120968 0.00074659777 0.036161166 0.0008033014 0.013523815 0.004782006 0.002264995 0.002422505 0.0018617691 0.00140499 0.016062878 0.0006142893 0.0005292339 0.0007938508 0.0038652974 0.00064579136 0.0023973035 0.008641003 0.005037172 0.0026776714 0.000733997 0.0009734123 0.00068044354 0.0005607359 0.0014742943 0.000359123 0.0013041835 0.0011466733 0.0001921623 0.00025831652 0.00082535285 0.00014490927 0.00047883065 0.0025075604 0.08039314 0.011621093 0.009680569 0.011110761 0.010509073 0.0088930195 0.010833544 0.010581527 0.03872543 0.008483493 0.0076171877 0.007954259 0.011189516 0.007900706 0.010045993 0.012525202 0.004048009 0.0005481351 0.00057648687 0.0005260837 0.0007371472 0.0005607359 0.00085685484 0.00064894155 0.00078125 0.00047883065 0.00044417844 0.00047253023 0.0005229335 0.00045677923 0.0005481351 0.00069619453 0.008559098 0.007169859 0.0073557207 0.0071793096 0.007006048 0.0072927168 0.007973161 0.0075069303 0.0073840725 0.0070438506 0.0068642893 0.0070438506 0.0067099296 0.0069178427 0.006939894 0.00718246 727.0 11.811554 8587.0 0.006288576 0.00093164085 0.0025620123 0.0019797368 0.00069873064 0.00093164085 0.00093164085 0.00046582043 0.0013974613 0.0013974613 0.002212647 0.001164551 0.00069873064 0.001048096 0.0037265634 0.0015139164 0.0013974613 0.002212647 0.0025620123 0.0026784674 0.0032607429 0.0016303714 0.002212647 0.0024455572 0.0025620123 0.0005822755 0.002212647 0.001048096 0.0024455572 0.0026784674 0.0019797368 0.0018632817 0.0012810061 0.011761966 0.002329102 0.01665308 0.013392338 0.010597414 0.017235355 0.019913822 0.013741703 0.011878421 0.00069873064 0.002329102 0.013508792 0.0103645045 0.004308839 0.0032607429 0.012810062 0.0038430186 0.004658204 0.025853034 0.0061721206 0.002096192 0.003144288 0.026784675 0.00093164085 0.00069873064 0.0012810061 0.001048096 0.001164551 0.0013974613 0.00093164085 0.0026784674 0.0012810061 0.048678234 0.0048911143 0.034936532 0.030744148 0.1071387 0.0065214857 0.016536625 0.014673344 0.044602305 0.0018632817 0.0039594737 0.043670665 0.013275882 0.03738209 0.05426808 0.014673344 0.001164551 0.049609877 0.036916267 0.06964015 0.0145568885 0.004425294 0.007336672 0.008617678 0.008850588 0.001164551 0.0012810061 0.001164551 0.0029113777 0.001164551 0.0016303714 5.367184 0.0 0.0 0.0 1.0 159744.0 217088.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1202814100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 1.0 7.0 4.0 10.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 4.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53760.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.436281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6617548 0.0 0.0 0.0 0.0 0.0 5.8311253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.249569 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 208896.0 1256.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0