Input: 0.14623433 0.005165279 0.004911082 0.0047178925 0.0044535277 0.0033045583 0.0038332876 0.0040468127 0.005236454 0.003314726 0.0035892588 0.0030503615 0.006954824 0.003884127 0.0039756377 0.0035384193 0.005449979 0.0029385148 0.0029080112 0.0025521358 0.0033553976 0.0022572675 0.0028876755 0.003640098 0.0047788997 0.0022064282 0.0021962603 0.0029893543 0.0026639823 0.0028978435 0.0032638868 0.0029791864 0.0049415855 0.002928347 0.0029588507 0.002765661 0.0032333832 0.0021555887 0.0023386104 0.0028368363 0.003640098 0.0024199535 0.0022064282 0.002694486 0.0026334787 0.0025216322 0.0037417768 0.0027859968 0.0062125693 0.0030910328 0.0029588507 0.0025928072 0.003172376 0.002613143 0.002704654 0.003314726 0.0041484917 0.0022776031 0.0023996176 0.0029791864 0.002450457 0.002928347 0.0031012008 0.0024707927 0.004026477 0.0031012008 0.0036909373 0.0027148216 0.0032638868 0.0026741503 0.0031113687 0.0027351575 0.0038231197 0.0022470995 0.002216596 0.0026029751 0.002613143 0.0030401936 0.0028978435 0.0021657567 0.0044636955 0.002450457 0.0026639823 0.0022674354 0.0027554932 0.0020030707 0.0025928072 0.002999522 0.0045043672 0.0020539102 0.0020437422 0.0026741503 0.0026334787 0.002379282 0.003162208 0.0048704105 0.0040061413 0.003324894 0.0028876755 0.0024301214 0.0036807696 0.0027351575 0.0031418724 0.002857172 0.0038332876 0.0021962603 0.002287771 0.0025623036 0.0031215365 0.0034367405 0.0035079157 0.0034570764 0.0043213456 0.0024911286 0.0041484917 0.0027453252 0.004026477 0.0029486828 0.0029181791 0.003314726 0.004341681 0.001982735 0.0022267639 0.0027351575 0.002684318 0.0033553976 0.0035994265 0.0028063327 0.0053483006 0.0028063327 0.0037011052 0.0030605292 0.0032333832 0.002694486 0.0024911286 0.002857172 0.0053381324 0.0026334787 0.0024911286 0.0035689229 0.0027554932 0.0035587552 0.0035384193 0.002460625 0.004036645 0.0041484917 0.0025826395 0.002145421 0.0027859968 0.0018912241 0.0019929027 0.0032740547 0.0039959736 0.0018302168 0.002287771 0.002450457 0.0023182747 0.0025216322 0.0032943904 0.0025623036 0.0029791864 0.002297939 0.0027859968 0.0020437422 0.0027453252 0.0028063327 0.002379282 0.0025724715 0.0032130475 0.0021047494 0.0020437422 0.0023284426 0.0028368363 0.002928347 0.0032028796 0.0025114643 0.004748396 0.0028673399 0.0028673399 0.0029181791 0.0027758288 0.0031317044 0.002613143 0.0036909373 0.004534871 0.0028063327 0.0021555887 0.0032130475 0.0033045583 0.003477412 0.0035485872 0.003335062 0.004494199 0.0031418724 0.0035790908 0.003955302 0.0028876755 0.0023589463 0.0032232152 0.0034062369 0.004575542 0.0026639823 0.0020945815 0.0022572675 0.0025521358 0.0030300256 0.0035282515 0.0023081067 0.0041078203 0.0024707927 0.0027961647 0.002297939 0.0028368363 0.0025012963 0.0026741503 0.0034265728 0.004972089 0.0030910328 0.0027453252 0.0035790908 0.003182544 0.0032842224 0.004117988 0.0035180836 0.0048094033 0.0032130475 0.0032232152 0.0027758288 0.0034469084 0.0021657567 0.0026639823 0.0032740547 0.004972089 0.0026334787 0.002460625 0.0042603384 0.0043315133 0.0042196666 0.0043315133 0.0036095944 0.0062125693 0.0036095944 0.0034265728 0.0034164048 0.0035282515 0.0027148216 0.0030706972 0.003792616 0.0055008186 0.0029486828 0.0028978435 0.003802784 0.003324894 0.0032638868 0.0038942948 0.046172306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01590769 0.0002107319 0.00028268914 0.0003495066 0.00030324835 0.00032894738 0.00090460526 0.0003854852 3.0838815e-05 0.00023129112 0.0001850329 3.0838815e-05 4.1118423e-05 5.1398027e-05 0.00029810856 0.001511102 0.029502466 0.00027754935 0.0003854852 0.00049342104 0.0003854852 0.00031866776 0.00087376643 0.00052425987 0.0009405839 0.0004009046 0.00033408718 0.000832648 0.0005139803 0.00014391447 0.0005602385 0.0056178044 0.006172903 0.00010279605 0.0 1.0279606e-05 5.139803e-06 5.139803e-06 0.00031866776 0.00026726973 0.0010587993 0.0 0.0 5.139803e-06 0.00030838815 0.0 0.0005448191 0.0017269737 0.005890214 0.00012849507 6.681743e-05 5.1398027e-05 3.5978617e-05 4.1118423e-05 0.0007452714 0.00033922697 0.001511102 1.0279606e-05 2.0559211e-05 2.0559211e-05 0.00026726973 1.0279606e-05 0.0005088405 0.0008789062 0.012006579 0.0004009046 0.000390625 0.000390625 0.00044716283 0.0003700658 0.00024157073 0.00046772204 0.00084806746 0.00034436677 0.00026212994 0.0005653783 0.0005499589 0.00023643092 0.0004111842 0.0031198603 0.024079975 0.00068359374 0.0006373355 0.0010896382 0.0005139803 0.001017681 0.0005499589 0.0011667352 0.0007452714 0.0013209293 0.0012900905 0.001983964 0.001983964 0.0023591693 0.0032586348 0.009950658 0.032170024 0.002189556 0.0021278784 0.0024362665 0.0020867598 0.0020970395 0.0016755756 0.0023283307 0.0018554687 0.0025339227 0.0022152548 0.003669819 0.0030684622 0.003669819 0.005345395 0.014740954 0.014833471 0.00065789477 0.001171875 0.00090460526 0.0006938733 0.00072985195 0.0012798109 0.0017526727 0.0010639392 0.0014751233 0.0017218338 0.003047903 0.0026367188 0.0035618832 0.0048262747 0.012273849 0.011960321 0.0014648438 0.0010382402 0.0014391447 0.0011153371 0.0010125411 0.0012335526 0.0015008224 0.001927426 0.0022460937 0.0026675577 0.002785773 0.0035053454 0.003726357 0.0042403373 0.010767886 0.0021278784 0.001274671 0.001017681 0.0006527549 0.0007966694 0.0007606908 0.0007504112 0.00048828125 0.00027240955 0.00023129112 0.0001850329 0.00046258225 0.00026726973 0.00036492597 0.00023643092 0.0006373355 0.05343853 0.0426912 0.039612457 0.04167352 0.040676396 0.03988487 0.040979646 0.041555304 0.042346835 0.03542352 0.032976974 0.038656455 0.03700658 0.037669614 0.036374383 0.04113898 434.0 7.430876 3225.0 0.01891473 0.009302326 0.007131783 0.009302326 0.011472868 0.0062015504 0.0068217055 0.008062015 0.0068217055 0.008372093 0.007751938 0.012093023 0.0062015504 0.0055813952 0.013643411 0.00992248 0.013333334 0.012093023 0.011472868 0.008372093 0.012093023 0.010542636 0.009302326 0.012713178 0.008372093 0.008682171 0.00992248 0.008682171 0.008992248 0.0068217055 0.009612403 0.0065116277 0.009612403 0.0111627905 0.018604651 0.017674418 0.01891473 0.012093023 0.014263566 0.0074418606 0.011472868 0.007131783 0.0055813952 0.0074418606 0.010852713 0.009612403 0.009302326 0.009302326 0.012093023 0.0068217055 0.0074418606 0.008062015 0.011472868 0.0062015504 0.008062015 0.0068217055 0.0111627905 0.011472868 0.007131783 0.00992248 0.0065116277 0.009302326 0.008062015 0.022325581 0.011472868 0.016744185 0.007131783 0.010852713 0.017054264 0.016744185 0.017674418 0.005271318 0.010852713 0.012093023 0.008992248 0.009612403 0.012093023 0.010852713 0.014263566 0.013023255 0.012713178 0.0102325585 0.017674418 0.015193799 0.014263566 0.010542636 0.012403101 0.008372093 0.008062015 0.007751938 0.0074418606 0.008992248 0.0102325585 0.008062015 0.008372093 0.0065116277 6.508843 0.0 0.0 0.0 4.0 98349.0 163840.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1076698000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 3.0 10.0 33876.0 728.0 4096.0 3.0 1.0 0.0 2.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0948021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8839607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4304.0 0.0 0.0 0.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 131320.0 248.0 131072.0 4004.0 131372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.06765343 0.006055247 0.0042180466 0.004635374 0.0051006703 0.004359554 0.004277208 0.0036632086 0.0054236595 0.0031867197 0.003252277 0.0033690007 0.0053397142 0.004509856 0.0030675975 0.009516188 0.010220528 0.007938817 0.0027318166 0.0027534026 0.0037503517 0.0046681524 0.0028389466 0.002749405 0.0037887266 0.0028541368 0.002775788 0.0027949754 0.0034041777 0.0034017793 0.0028189598 0.0029468762 0.00416608 0.0027134286 0.0028533374 0.0030556053 0.0042204447 0.0034609407 0.0028685273 0.0028077671 0.0034537455 0.0027510042 0.0029005066 0.0034705345 0.0031659333 0.003098777 0.0027430095 0.002670257 0.0035512818 0.0028573347 0.0027949754 0.004561822 0.0033306258 0.0033841908 0.002770991 0.0027486058 0.003377795 0.0033498132 0.0027717906 0.003302644 0.003289053 0.003516904 0.0027334157 0.0027014364 0.004578611 0.0040269713 0.004004586 0.003986997 0.0044267103 0.0056563076 0.0045770123 0.005090277 0.003802318 0.0031275584 0.0029588684 0.0029804544 0.0034377559 0.0035640735 0.0029364831 0.0030020403 0.0044219135 0.0031547407 0.00432038 0.003834297 0.0037295653 0.0037535497 0.0034057768 0.0032754617 0.0032946493 0.0031835218 0.0027869807 0.002942879 0.0032986465 0.0033354226 0.0030963786 0.003095579 0.003503313 0.003157139 0.0025911084 0.003160337 0.0036056463 0.0036216357 0.0038039167 0.0028589338 0.015572234 0.0051910114 0.0033785945 0.0027685927 0.003391386 0.0032083057 0.0032402847 0.0034209667 0.0036512164 0.0028909128 0.0034353575 0.0035225004 0.00433477 0.0041444944 0.0028469416 0.0027254208 0.0033314251 0.0029356836 0.0029292877 0.0028261552 0.0033546102 0.003374597 0.0030779906 0.002994845 0.0052877483 0.0036296307 0.0029069025 0.005430855 0.0053764903 0.0069154855 0.0031187641 0.0028365483 0.0041325022 0.0058873566 0.0030516079 0.010888092 0.0031299568 0.005419662 0.0028229572 0.0027949754 0.0034049773 0.0026462725 0.0026438741 0.002798973 0.0031515427 0.00312516 0.0026966396 0.0027326162 0.0033186337 0.0027134286 0.0027246214 0.0028517384 0.0031747275 0.00294128 0.0028909128 0.0029692617 0.0037599455 0.004244429 0.0030036392 0.0046209833 0.0031595374 0.002752603 0.0026390771 0.0028261552 0.0034961177 0.002789379 0.0028349494 0.0028693269 0.00327786 0.0028373478 0.0028021708 0.0029468762 0.003656813 0.0029444778 0.0026750537 0.0028077671 0.0032258942 0.0031259593 0.0037703388 0.0030508083 0.0061879605 0.0032131025 0.0029101004 0.0028213582 0.0031403499 0.0030508083 0.0032570737 0.0029860507 0.0050007356 0.0049000015 0.0031611363 0.005107066 0.0035424875 0.0028013713 0.0036767998 0.0065069525 0.0039670104 0.0031011757 0.0029708606 0.0029300873 0.0045474316 0.0026766527 0.002953272 0.0031155662 0.0037967216 0.003013233 0.0028805195 0.0028485404 0.0032954488 0.002642275 0.0028669285 0.0028181602 0.0035944534 0.0028901133 0.0027310173 0.0029037045 0.0035225004 0.0030188293 0.0029172956 0.0027973738 0.004086932 0.0030564049 0.0028365483 0.0028757227 0.0036416228 0.0029620663 0.0027917775 0.0026926422 0.005326123 0.0049023996 0.0027486058 0.0030843865 0.0038295002 0.0027246214 0.002878121 0.002976457 0.0041229087 0.002842944 0.0027693922 0.0032155009 0.003648818 0.003117165 0.0033338238 0.003042014 0.0040557524 0.0031939151 0.0031011757 0.0036576123 0.0041341013 0.003635227 0.003993393 0.023684539 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030273437 0.0001192687 0.00023213371 0.0001849065 0.0004798764 0.00017329982 0.0007340228 0.00052750384 0.00062956265 8.6049564e-05 0.000108062246 0.00013087539 0.00018890882 0.0001993148 0.00045786373 0.0009177286 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055059716 0.00075723615 0.0005363089 0.0007788486 0.0013075531 0.0012211034 0.00087930646 0.0011206454 0.002804015 0.00034099643 0.00030577614 0.00055511977 0.0013875993 0.0004994877 0.0014076108 0.0027235688 0.042947136 0.014013672 0.0069920276 0.0075375414 0.012710121 0.009748816 0.013648261 0.007038054 0.019585282 0.0054551424 0.007525535 0.008372823 0.012111376 0.005909404 0.00829798 0.01810683 0.065893956 0.046854187 0.04116371 0.0416636 0.045358926 0.04241443 0.04659284 0.040757477 0.04949131 0.040333234 0.042262744 0.042958345 0.04604172 0.04128498 0.04216629 0.047713082 4648.0 6.9922547 32500.0 0.019353846 0.0069230767 0.008 0.008307693 0.00796923 0.0077846153 0.0075692306 0.008492308 0.0076615387 0.0068923077 0.007292308 0.0081538465 0.0068923077 0.0067692306 0.0081846155 0.0067384616 0.008861538 0.007938461 0.006553846 0.00843077 0.0073846155 0.0081230765 0.0073846155 0.0073846155 0.007323077 0.009353846 0.007507692 0.0077230767 0.0074153845 0.007630769 0.008 0.007046154 0.009692308 0.00843077 0.009046154 0.009723077 0.009753847 0.008215385 0.011507693 0.009815385 0.009138461 0.008523077 0.007476923 0.0073846155 0.008461539 0.008953846 0.007846154 0.008246154 0.010123077 0.008369231 0.007938461 0.009784616 0.0108 0.00796923 0.010030769 0.010092308 0.00843077 0.008338462 0.008676923 0.0064615384 0.009169231 0.0069230767 0.007507692 0.010923077 0.008707692 0.01806154 0.008307693 0.0152 0.014307693 0.032092307 0.008984615 0.009753847 0.022676922 0.0268 0.0081846155 0.0073846155 0.016276924 0.017107692 0.019938461 0.026523076 0.014676923 0.012092308 0.022892307 0.024953846 0.024923077 0.012184615 0.0096307695 0.007938461 0.009384615 0.010892307 0.008523077 0.0077538462 0.008984615 0.0084 0.007938461 0.0077230767 6.4480186 0.0 2.0 0.0 8.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.99417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.20756242 0.03100509 0.017239638 0.012220248 0.013240284 0.0063121114 0.016148904 0.005615254 0.005938434 0.0041912417 0.01753252 0.0031106083 0.0028278257 0.0032519996 0.005797043 0.0017572917 0.0034842854 0.005948534 0.009230832 0.0060495273 0.0029995153 0.0058980365 0.0030601115 0.003050012 0.003554981 0.0018077886 0.0015654035 0.001817888 0.001737093 0.0026763352 0.0027571302 0.0018481861 0.013482669 0.0015351054 0.0021814657 0.0018784843 0.0017976892 0.0028480245 0.0019592794 0.0026056394 0.008554173 0.0014745091 0.0052718753 0.0033024966 0.0030601115 0.0030399128 0.0051405835 0.004090248 0.010038782 0.0046457136 0.002565242 0.001999677 0.0016865961 0.0019289812 0.0014644098 0.0017067948 0.0019693787 0.0027369314 0.0024137513 0.001605801 0.0023632543 0.0018582855 0.0019895774 0.0010705341 0.0011715278 0.0064737014 0.0017067948 0.006271714 0.0022824593 0.0029086208 0.0026056394 0.0015957017 0.00211077 0.003847863 0.0010099378 0.0009796397 0.0014644098 0.002858124 0.0029490183 0.0014038135 0.0028177265 0.0014745091 0.0029995153 0.0047265086 0.0043124342 0.003797366 0.002383453 0.0012119253 0.0008584471 0.0010705341 0.0008685465 0.00083824835 0.00088874524 0.0011311303 0.0006665589 0.0056253537 0.0017067948 0.015431849 0.0026359376 0.013512967 0.009695402 0.037084915 0.00422154 0.005776844 0.005231478 0.02159247 0.0006261614 0.0036559748 0.008847055 0.007291751 0.021632867 0.028641835 0.009372222 0.0014846085 0.020592632 0.015593439 0.028853923 0.009119738 0.002888422 0.0018380868 0.0023127575 0.0041912417 0.00243395 0.0043124342 0.0014846085 0.0036761735 0.0017774905 0.0006261614 0.004696211 0.004777006 0.0023127575 0.0011816272 0.00069685705 0.00064636016 0.0028379252 0.00049486954 0.00060596265 0.0011412296 0.0005251677 0.0005049689 0.0007675527 0.0010200372 0.0007170558 0.0006867577 0.0006766583 0.0007675527 0.000616062 0.0017168942 0.00073725457 0.00078775146 0.0013937141 0.00065645954 0.0007170558 0.0015351054 0.000616062 0.0007675527 0.00060596265 0.00065645954 0.00038377635 0.00048477013 0.001232124 0.0009796397 0.0013230185 0.0006766583 0.0008180496 0.00055546575 0.0005857639 0.0006867577 0.000616062 0.0010200372 0.00055546575 0.0005857639 0.0008988446 0.0013937141 0.00047467076 0.00069685705 0.0006665589 0.0007574533 0.0011816272 0.000616062 0.0004039751 0.0007574533 0.0005049689 0.00053526706 0.0005251677 0.0009493415 0.000454472 0.0006665589 0.0007170558 0.0009190434 0.00032318008 0.0005756645 0.00059586327 0.0008483477 0.00039387573 0.0006261614 0.00054536643 0.0009493415 0.00069685705 0.0005150683 0.0006362608 0.00070695643 0.00044437262 0.0006665589 0.0005756645 0.0008180496 0.00054536643 0.00056556513 0.00073725457 0.0010200372 0.0005857639 0.00055546575 0.0005049689 0.000616062 0.00054536643 0.0016461986 0.0006665589 0.00060596265 0.00060596265 0.00043427324 0.00070695643 0.0015048073 0.0012725216 0.00069685705 0.00069685705 0.0013937141 0.0009796397 0.00049486954 0.00065645954 0.00070695643 0.0013432172 0.00060596265 0.00059586327 0.0009897391 0.0006665589 0.00042417386 0.0006665589 0.000616062 0.00030298132 0.0006261614 0.00056556513 0.00070695643 0.00070695643 0.00083824835 0.0007675527 0.0007271552 0.00043427324 0.0017572917 0.00044437262 0.00069685705 0.00053526706 0.00054536643 0.0010806335 0.00073725457 0.0028379252 0.0006766583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008300781 3.0838815e-05 0.00015419407 0.00014905428 0.00024671052 9.765625e-05 0.0011153371 0.0003854852 2.0559211e-05 0.0 5.139803e-06 1.0279606e-05 0.0 0.0 5.139803e-06 5.139803e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04214124 0.0008275082 0.009642269 0.0022255345 0.01769634 0.01224301 0.11059827 0.0567023 0.00016961349 7.709704e-05 7.709704e-05 6.681743e-05 4.1118423e-05 5.1398027e-05 2.5699013e-05 4.6258225e-05 0.05961657 0.005437911 0.009601152 0.0037623355 0.004296875 0.003407689 0.022003494 0.013862047 0.0009662829 0.0005653783 0.0008891859 0.00032380756 0.0002107319 0.00053453946 0.0004111842 0.00042660363 0.10747841 0.01458676 0.015275493 0.005854235 0.004219778 0.0036749588 0.016596423 0.015763775 0.0038034539 0.0016961349 0.0019993833 0.0013723273 0.0013928865 0.002446546 0.0017989309 0.0020405017 0.042922493 0.01145662 0.00651213 0.0038599917 0.0018811678 0.0022769326 0.006219161 0.004327714 0.004867393 0.0020096628 0.0012541119 0.0010331003 0.0012181333 0.0019582647 0.0017321135 0.0012078537 0.04840152 0.010798725 0.007211143 0.0077765216 0.0035978619 0.0038908306 0.009261925 0.0057154605 0.0040141856 0.0024722451 0.0021278784 0.0023334704 0.0014956825 0.0015573602 0.0018554687 0.003279194 0.017732318 0.0050113075 0.0039730673 0.0025956004 0.0018863076 0.001408306 0.0057411594 0.003412829 0.0019582647 0.0014442846 0.0010844984 0.000832648 0.0009765625 0.0017578125 0.0012643915 0.0015522204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018672902 0.0061934623 0.006044408 0.009806744 0.005026727 0.005448191 0.011477179 0.0073139393 0.004795436 0.0027703536 0.0033151726 0.0025339227 0.002734375 0.0025133635 0.0027497944 0.0033408718 0.00859889 0.0032226562 0.0036081416 0.005437911 0.0027497944 0.0030324836 0.0061883223 0.004029605 0.0027446547 0.0018040708 0.0021689967 0.0017783717 0.0018657483 0.0016601563 0.0017732319 0.0019685444 1268.0 22.03391 27939.0 0.032535166 0.00032213036 0.0002863381 0.0005726762 0.00050109165 0.0003579226 0.0008590143 0.00411611 0.0002863381 0.00021475357 0.0002863381 0.0010021833 0.0020043666 0.0031855113 0.011954616 0.0038297721 0.012061993 0.009198612 0.0042950716 0.002040159 0.001789613 0.001503275 0.0013958982 0.0013958982 0.0015748595 0.001503275 0.0028991732 7.158452e-05 0.0029349655 0.00053688395 0.0029349655 0.0003579226 0.00021475357 0.01596335 0.002183328 0.016428648 0.0044740327 0.0055120084 0.0047245785 0.0026486274 0.003149719 0.0075521674 0.00050109165 0.0012885215 0.0018611976 0.0058341385 0.0047603706 0.0026844197 0.005905723 0.00042950714 0.0068721143 0.010343963 0.008661727 0.0027917963 0.0013243137 0.0023622892 0.00025054583 0.00014316905 0.00096639106 0.00082322204 0.0002863381 0.0007158452 0.00021475357 0.016893947 0.0013601059 0.04144744 0.006156269 0.037939798 0.024804037 0.106231436 0.010701886 0.016500233 0.013493682 0.05998783 0.00025054583 0.008733312 0.024267154 0.018576184 0.05916461 0.062171157 0.019184653 0.0016822363 0.052650418 0.039944164 0.08625935 0.024088193 0.006263646 0.0044740327 0.0048677474 0.010701886 0.003579226 0.0032570958 0.00025054583 0.0032570958 0.000107376785 7.158452e-05 5.176673 3.0 21.0 0.0 1.0 99016.0 106496.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1518155900.0 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 -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 48.0 0.0 4.0 0.0 6.0 0.0 80384.0 512.0 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 -80384.0 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 -5.936925 0.0 3.190887 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 -80164.0 0.0 1120.0 0.0 0.0 0.0 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 88268.0 1120.0 90112.0 0.0 0.0 16072.0 82944.0 12.0 98304.0 28.0 87956.0 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: 0.06765983 0.0060912236 0.004133302 0.0046985326 0.0051694256 0.004382739 0.004234036 0.0036112426 0.005314131 0.0032402847 0.0032250946 0.0034193678 0.005305337 0.004479476 0.0029492746 0.009464222 0.01037003 0.00801077 0.0028389466 0.002749405 0.0037615444 0.004673749 0.0027901786 0.0027326162 0.003887862 0.002817361 0.0027749885 0.002832551 0.0033306258 0.0033969826 0.002790978 0.0028693269 0.0041476926 0.0028149623 0.0028413453 0.0030715948 0.0042931973 0.0034929197 0.0027997724 0.0027813844 0.003399381 0.0027214235 0.0029204935 0.0034385554 0.0032266937 0.0030891835 0.002798973 0.0027581993 0.003573667 0.0028941107 0.002758999 0.0045658196 0.0033066415 0.00333942 0.0028637305 0.0027765874 0.003471334 0.0033050424 0.002737413 0.0033721987 0.0032131025 0.0035712686 0.002774189 0.002829353 0.0044554914 0.0040077837 0.004002987 0.003920641 0.004433106 0.005745849 0.0046361736 0.0050391103 0.003852685 0.0031211625 0.0029580689 0.0030004412 0.0034825266 0.0036024484 0.0029604675 0.0030364178 0.0044890693 0.0030915819 0.0043131844 0.003740758 0.0037199715 0.003755948 0.0033769954 0.0033066415 0.0031939151 0.0031963135 0.0027310173 0.0029444778 0.003287454 0.0033873888 0.0030875844 0.003083587 0.0034393547 0.0030875844 0.0026678585 0.0031059724 0.003541688 0.0035928546 0.003802318 0.0028357487 0.01556424 0.0052030035 0.0033538106 0.0027981733 0.0033713991 0.0031899177 0.0032202979 0.0034049773 0.0037359612 0.0029436783 0.003361006 0.0035041126 0.004390734 0.004122109 0.0027933766 0.0028701264 0.0033586074 0.0029045038 0.0029069025 0.0028301524 0.0033138366 0.0033162353 0.003158738 0.002970061 0.0053085345 0.0037047814 0.0028901133 0.005394079 0.005288548 0.007116155 0.0030444127 0.0029005066 0.004153289 0.005924932 0.0030276235 0.010818537 0.003163535 0.005381287 0.002946077 0.0027821837 0.0034393547 0.002608697 0.002628684 0.002814163 0.0031547407 0.0031435478 0.0026414758 0.0027693922 0.0034081752 0.00274221 0.002770991 0.0028157618 0.0032970477 0.0029005066 0.0028117644 0.0028733243 0.003685594 0.0042892 0.002976457 0.004673749 0.0031995114 0.0027398115 0.0026054992 0.0027613973 0.0035456854 0.0028317515 0.0028149623 0.002817361 0.0032578732 0.0028773218 0.0027534026 0.0029093008 0.0036496175 0.0028213582 0.0027094313 0.0027997724 0.0031731285 0.0031179646 0.0037191722 0.0029980429 0.0062415255 0.0032011103 0.0029628659 0.0028541368 0.003138751 0.0029708606 0.0032099045 0.0029980429 0.0050039333 0.0048384415 0.003198712 0.0051542353 0.0034945188 0.0027502046 0.003705581 0.00655652 0.0038446903 0.002970061 0.0030636 0.0028053687 0.004631377 0.0027014364 0.0029844518 0.0030516079 0.0038542838 0.0029980429 0.0029492746 0.0028373478 0.003284256 0.0026694573 0.0028021708 0.002737413 0.003543287 0.0029508737 0.002795775 0.002899707 0.003560076 0.003068397 0.0028381473 0.0027286187 0.0041772733 0.0029156967 0.0028205588 0.0027933766 0.003688792 0.0029860507 0.0028885144 0.0026614626 0.005395678 0.004991941 0.0028053687 0.0030356185 0.0038334974 0.002717426 0.0028981082 0.002981254 0.004157286 0.0027534026 0.0027278194 0.0032402847 0.0036775994 0.0030324205 0.0033905867 0.0031107692 0.0041596848 0.0032171 0.0031195635 0.0036432217 0.004093328 0.0035408884 0.003953419 0.023776479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030281441 0.00011846824 0.00023253394 0.00018650743 0.00048187756 0.0001781026 0.0007316214 0.0005271036 0.0006279617 8.404841e-05 0.00010566086 0.00013207608 0.00018930904 0.00019851435 0.00045986488 0.000914927 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.005508373 0.0007616387 0.000534708 0.0007840516 0.0013091541 0.0012191022 0.0008741035 0.0011186444 0.002810819 0.00033979572 0.00031658236 0.00054991676 0.0013920018 0.0004850794 0.0014084112 0.002718766 0.042944334 0.0140080685 0.00699683 0.007541144 0.012712522 0.00974041 0.013647061 0.0070356526 0.019581279 0.005462346 0.0075219325 0.008379227 0.012110176 0.0059130057 0.008297179 0.01810883 0.06564301 0.0470475 0.04135622 0.04196377 0.04545138 0.042195905 0.046307072 0.040866338 0.04970543 0.04036445 0.04213627 0.042697392 0.045834 0.041276574 0.042341188 0.047764312 4595.0 7.030468 32305.0 0.018356292 0.0064386316 0.0077077853 0.007645875 0.0074911006 0.00780065 0.0065934067 0.008760254 0.00792447 0.007150596 0.006995821 0.0075220554 0.0076149204 0.0077077853 0.008667389 0.0068410463 0.009874633 0.007831605 0.0074911006 0.008141154 0.007769695 0.008234019 0.008295929 0.0068100914 0.008048289 0.008388794 0.0075530102 0.007831605 0.007893515 0.0074601453 0.0073982356 0.00773874 0.009038849 0.009719858 0.008295929 0.009379353 0.009596038 0.008264975 0.01197957 0.009317443 0.009255533 0.008636434 0.0075220554 0.0073363255 0.009441263 0.0075839655 0.00817211 0.007893515 0.010741372 0.007831605 0.008605479 0.009565082 0.009534128 0.008264975 0.009441263 0.010091317 0.008419749 0.007181551 0.009162668 0.0075530102 0.009224578 0.0073363255 0.0079554245 0.0103389565 0.008884073 0.01916112 0.009286488 0.014703606 0.014672651 0.033555176 0.009781768 0.010648507 0.022566166 0.02646649 0.008295929 0.0074911006 0.016065624 0.016777588 0.02002786 0.026435535 0.013620183 0.012134344 0.022937626 0.025011608 0.024609193 0.011824795 0.008481659 0.00792447 0.009348398 0.010710416 0.0079554245 0.0068410463 0.0101532275 0.00767683 0.0075530102 0.00773874 6.447751 0.0 2.0 0.0 15.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9941154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.23947962 0.009160859 0.0053790724 0.0018302569 0.0059950086 0.0031195746 0.0015478197 0.0014680352 0.005843418 0.0013292101 0.0021509905 0.0015159058 0.0032009548 0.0015557981 0.000649446 0.008752362 0.0038296569 0.0011233661 0.00042126226 0.00079305813 0.0015621808 0.004787071 0.0003319036 0.00036541309 0.0011568755 0.00047392002 0.000314351 0.000268076 0.0012143203 0.0006813598 0.00033349928 0.0015382455 0.014391531 0.00058561837 0.0005329606 0.00028881995 0.0008712469 0.002158969 0.00032552084 0.00040849674 0.00081539777 0.0010324117 0.0012605954 0.0016531352 0.00071646494 0.0007036994 0.0015015446 0.00039094413 0.0011074091 0.0009127349 0.0010180505 0.0031259574 0.00062231923 0.00201057 0.00038137 0.00022977941 0.0007978452 0.0005249821 0.0007962495 0.0011744282 0.0008903952 0.0019228068 0.00044200622 0.0003319036 0.001072304 0.0010914522 0.0005632787 0.0021829044 0.0019004672 0.0055115144 0.0016770705 0.0010212419 0.0009797539 0.0014249515 0.0003159467 0.00039573121 0.0010850695 0.0026121452 0.00092869176 0.00074997445 0.0103081595 0.0011744282 0.0010116677 0.0038791234 0.0010627297 0.002519595 0.0035679636 0.0031371273 0.00085209863 0.0004930683 0.001061134 0.0014648438 0.0011137918 0.0022738588 0.001576542 0.0019611034 0.020070594 0.005407795 0.0009653927 0.00370998 0.0034211602 0.010568257 0.0068423203 0.0018334482 0.010845907 0.0058912886 0.008588006 0.0005999796 0.004289216 0.001659518 0.0062072356 0.007528467 0.0025722529 0.0003670088 0.0058466094 0.0051700366 0.012116077 0.007911433 0.0016132429 0.0016068602 0.0010802824 0.0016355827 0.0003159467 0.00027445875 0.00077071844 0.00088560814 0.00059200113 0.00033669066 0.0022961984 0.00085369434 0.0007260391 0.010268267 0.003046173 0.013888889 0.00037339155 0.00037179585 0.0011409186 0.005653531 0.0007276348 0.014230367 0.0007786969 0.009704988 0.00022977941 0.00022977941 0.0008313547 0.000110102636 0.0001324423 0.00020265268 0.0006478503 0.00060636236 0.00019307854 0.0001659518 0.0006430632 0.00016435611 0.00027286305 0.00033669066 0.000876034 0.0006191279 0.00030318118 0.00019467423 0.00075476157 0.0019004672 0.00038137 0.0010483685 0.0007978452 0.00035424327 0.0003797743 0.00029679842 0.0007356133 0.0002840329 0.0002648846 0.00025371477 0.0011121961 0.00015956904 0.00013084662 0.00017712163 0.0018781276 0.001005285 0.0003973269 0.0006462546 0.0026121452 0.0025467218 0.0011760237 0.002401514 0.0022866244 0.0014839921 0.0005808313 0.00045636744 0.0013435712 0.00078507967 0.0002792458 0.00071806065 0.006767323 0.0018174914 0.0009909237 0.0021685432 0.0058833105 0.00055210886 0.0012015548 0.0030732995 0.0012685738 0.0010643254 0.0008632685 0.0007643357 0.17274465 0.0011153875 0.0006191279 0.0004787071 0.0008935866 0.0011425143 0.0005122166 0.0011058134 0.00069891236 0.00021382251 0.0018685535 0.0016451568 0.0011329402 0.0002952027 0.00028562857 0.0009622013 0.0011329402 0.00021701389 0.00029041566 0.00052019506 0.0011265574 0.00031913808 0.00023616217 0.00033509498 0.0011792151 0.0015605852 0.00026169323 0.0009989021 0.009527867 0.0021653518 0.00024573633 0.0019004672 0.0024047054 0.00027765014 0.0002505234 0.001957912 0.002036101 0.00035743465 0.0006909339 0.0007244434 0.0015063317 0.0012430428 0.0016834533 0.0039605033 0.0068822126 0.0065535004 0.009867749 0.0018924888 0.005969478 0.0020903545 0.002334495 0.05412901 0.03437468 8.790661e-06 2.397453e-06 3.196604e-06 1.598302e-06 1.678217e-05 3.196604e-05 1.598302e-06 7.99151e-06 2.397453e-06 3.196604e-06 6.393208e-06 0.032574993 1.0388962e-05 7.99151e-06 4.874821e-05 0.0015767249 3.196604e-06 3.995755e-06 3.995755e-06 1.3585567e-05 1.51838685e-05 2.397453e-05 9.589812e-06 1.1188114e-05 2.397453e-06 7.99151e-07 7.1923587e-06 0.0015663359 3.196604e-06 7.99151e-06 2.397453e-05 0.005908123 2.2376227e-05 4.4752454e-05 1.51838685e-05 4.4752454e-05 3.276519e-05 9.829557e-05 4.3154152e-05 1.8380473e-05 1.51838685e-05 8.790661e-06 1.7581322e-05 0.0017653245 9.589812e-06 2.3175378e-05 0.000115876894 0.0048196795 5.9936323e-05 2.397453e-05 2.8769435e-05 0.0002573266 0.00014784293 8.6308304e-05 3.0367737e-05 0.00015103954 1.2786416e-05 1.7581322e-05 3.276519e-05 0.003965387 1.678217e-05 4.7149908e-05 0.0001222701 0.009697697 0.00010548793 8.790661e-05 5.5141416e-05 0.00020618095 0.00015903104 0.000476294 0.00021497162 0.00017341576 3.6760946e-05 4.6350757e-05 3.6760946e-05 0.0014033092 2.8769435e-05 3.5961795e-05 0.0003292502 0.004786914 0.00011028283 0.00012306926 0.0001254667 9.749642e-05 0.00011268029 0.0004107636 0.00027490794 0.00021097586 3.6760946e-05 7.032529e-05 8.071425e-05 0.0052544177 0.000153437 0.00013745397 0.0011076232 0.02002033 0.00010628708 0.0010708623 0.00049227703 0.00091422873 0.0006585004 0.0031902108 0.0018820006 0.00021656991 6.4731226e-05 9.4299816e-05 7.911595e-05 0.0016102892 0.00044113133 7.272274e-05 0.0018196668 0.089402616 0.00018460388 0.0131692095 0.0020578138 0.003498683 0.0027986267 0.03626787 0.016758995 0.00031166887 8.071425e-05 0.00011028283 0.000117475196 0.0034651186 0.00016542425 0.00010788538 0.0017157772 0.026487859 0.00030527567 0.0026883439 0.0006728851 0.0012051197 0.0012906288 0.007987514 0.004049298 0.0007216333 0.00013425737 0.00010468878 0.00013825312 0.0031102956 0.00017581321 0.00011347944 0.0015511521 0.0054230387 0.00021097586 0.0007679841 0.00049467443 0.0010029345 0.0012474747 0.0050634206 0.0025740652 0.0007016546 8.15134e-05 0.000119872646 0.00026052323 0.0062070056 0.00019339453 0.0002573266 0.0015807207 0.0038598992 0.00054022606 0.0006329276 0.00034922897 0.0006305301 0.00072003505 0.0018604235 0.000772779 0.0012131112 0.0001222701 0.00022536058 0.00039078484 0.008943299 0.0002413436 0.00062014116 0.0017908973 0.006286921 0.0011627647 0.0005138541 0.0007967535 0.000857489 0.0017669228 0.0024014488 0.0009605795 0.0031238813 0.0002916901 0.0004826872 0.0010341014 0.017166562 0.000740813 0.0018396456 0.004763739 0.019707063 0.0036904793 0.0016750204 0.0024805646 0.003524256 0.0065722177 0.008645215 0.0036345387 0.013744597 0.0012075171 0.0014464633 0.003626547 0.03982489 0.002518924 0.0047933077 0.02038794 0.053913124 0.011255243 0.005880952 0.007856454 0.009417195 0.019679893 0.028445778 0.010408942 0.038923446 0.0035434354 0.0053343326 0.012700107 0.07126109 0.0074025355 0.0152478 0.060431797 0.005789849 0.0014488607 0.0009765625 0.0008774678 0.0018388464 0.0022935632 0.003561816 0.0015335707 0.0050897924 0.00066009874 0.0009669727 0.002075395 0.0035746023 0.00083591195 0.0014728353 0.006283724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 647.0 15.809892 10229.0 0.041353017 0.002932838 0.006452244 0.00039104506 0.0013686577 0.0031283605 0.00068432884 0.00068432884 0.0018574641 0.0017597028 0.0002932838 9.7761265e-05 0.00019552253 0.010851501 0.008602992 0.0011731352 0.0076253787 0.0052791084 0.0036171668 0.0030305993 0.0016619415 0.001075374 0.001466419 0.00068432884 0.002248509 0.0015641802 0.0028350768 0.0008798514 0.002248509 0.005181347 0.0036171668 0.001075374 0.003323883 0.00850523 0.002150748 0.008602992 0.00537687 0.0075276177 0.0063544824 0.0060611987 0.0042037345 0.0075276177 0.00019552253 0.0011731352 0.008114185 0.0042037345 0.00694105 0.0036171668 0.023560466 0.0024440316 0.005181347 0.01466419 0.007038811 0.0037149282 0.0059634373 0.01847688 0.0015641802 0.0005865676 0.00019552253 0.0007820901 0.001466419 0.00068432884 0.0008798514 0.01925897 0.0036171668 0.03939779 0.005767915 0.028253006 0.028839573 0.0941441 0.00928732 0.011829114 0.02004106 0.045165706 0.012415681 0.004790302 0.035096295 0.018770164 0.04780526 0.04624108 0.018183596 0.0008798514 0.03851794 0.040766448 0.06784632 0.015739564 0.008016424 0.02160524 0.00850523 0.010362694 0.0007820901 9.7761265e-05 0.0002932838 0.00019552253 0.00019552253 0.0002932838 5.4537535 2.0 0.0 0.0 4.0 626688.0 729088.0 1.0 0.0 351.0 0.0 1.0 0.0 0.0 0.0 1545446900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 5.0 1.0 5.0 1.0 421376.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 52736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -421376.0 -13312.0 133120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.14544474 0.0 3.0233564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.485966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6797085 -4.624295 2.0313106 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 52662.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -421153.0 -12941.0 132907.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 -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 -1.0 1.0 2.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -2.0 0.0 1.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 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 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 500.0 572052.0 133676.0 593920.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 474336.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 474144.0 0.0 0.0 2708.0 569344.0 64.0 585728.0 0.0 0.0


Input: 0.03736848 0.006462631 0.004279583 0.0042156153 0.005327449 0.0035669294 0.0036884986 0.0035954006 0.0048166537 0.0034072283 0.003720629 0.0034788083 0.0045800298 0.0034924948 0.0033898822 0.00436141 0.00391634 0.003670201 0.003790599 0.0032847808 0.004174482 0.003597084 0.0032697036 0.0035455578 0.0040233443 0.0034884694 0.0031557463 0.0032364752 0.0036169917 0.0035478268 0.0061969496 0.0034686348 0.006891672 0.00337561 0.0033422352 0.0033307443 0.0065572658 0.0032773886 0.0034422132 0.0033449433 0.0035626113 0.0033016878 0.003063673 0.003336746 0.0034659267 0.0033663148 0.0036101849 0.004320936 0.003632142 0.00337905 0.0033642654 0.004151647 0.0034739047 0.0033182288 0.003393249 0.0034377486 0.0035453383 0.003501351 0.0034190118 0.00376791 0.0036859368 0.0035941564 0.0036657364 0.0036297268 0.0033906873 0.0032900504 0.0033230593 0.0034416276 0.004197098 0.0034406763 0.0036148692 0.0033473584 0.0035064742 0.0033180825 0.0031208345 0.0033338915 0.0038531036 0.0032957594 0.0034818824 0.0036455358 0.004426769 0.0038888205 0.003921463 0.0036147228 0.003804432 0.0034418472 0.0040242956 0.003879086 0.003261799 0.0033489687 0.0033315495 0.0036568071 0.003479833 0.0035522913 0.004014415 0.0045969365 0.0031179802 0.0049476647 0.0035999382 0.004214444 0.005401737 0.006428817 0.0040279552 0.0038987743 0.004461461 0.0051646004 0.004346992 0.0035376532 0.004423915 0.0038902843 0.0051607946 0.005118564 0.0040420075 0.0034145473 0.0051922663 0.005073625 0.007738338 0.0051172464 0.0034163038 0.0036677124 0.003673275 0.0039909207 0.003350945 0.0033772935 0.004475587 0.003662516 0.0036799354 0.0037941122 0.0031503302 0.0032782669 0.00305672 0.0070376866 0.0035519255 0.004614356 0.0031253723 0.003329134 0.0034992285 0.0040292726 0.0032787793 0.00793866 0.0033187412 0.0038750607 0.0032374267 0.0033614843 0.0032779009 0.0031270557 0.0031080262 0.003241013 0.0033058596 0.003134082 0.0031403764 0.0032320106 0.0031970988 0.0031869253 0.0031152721 0.003221398 0.003233328 0.0032327424 0.003331403 0.0034091312 0.0030693817 0.0032780473 0.0030908997 0.003196367 0.0031752882 0.0031281535 0.003002925 0.0031801187 0.0030958767 0.003032933 0.0029970699 0.0031302762 0.0031281535 0.003119078 0.0031106612 0.0033254016 0.0030692355 0.003109783 0.003107514 0.003205223 0.003240574 0.0031885356 0.0032895382 0.0032663369 0.0033931758 0.0032344258 0.00305672 0.0031573565 0.0033287683 0.003243648 0.0034092043 0.003474051 0.0044461647 0.0034195243 0.0032334744 0.0042995643 0.005263847 0.0032546264 0.0034232568 0.0037130904 0.0033357213 0.003283756 0.0032158357 0.0032108587 0.006357676 0.0032135667 0.0032754124 0.0035081576 0.0033857103 0.0032735094 0.0034190118 0.0032603352 0.0031390588 0.0031566978 0.003158308 0.003281048 0.0033554826 0.0032374999 0.0031901458 0.0033032247 0.003216421 0.003489494 0.003306372 0.0035742484 0.0033596545 0.0032727045 0.0033062987 0.003330232 0.0032994922 0.0032881475 0.0032038323 0.0034157182 0.004980527 0.0033726825 0.0031405226 0.003494105 0.0033508716 0.003295686 0.003216348 0.0034354064 0.0037105288 0.0033674126 0.0033789768 0.0033710722 0.0033093728 0.003271753 0.0035369946 0.0034837853 0.0038299023 0.0035859589 0.003424428 0.003461389 0.0036267259 0.0035104265 0.004432185 0.02818727 0.0003704291 0.0002999008 7.773851e-05 3.4770046e-06 4.026005e-06 3.6966048e-06 3.6966048e-06 7.0272094e-06 1.2810017e-06 1.5738021e-06 2.6718035e-06 1.464002e-07 9.882014e-07 1.3176018e-06 7.53961e-06 0.0016131105 0.0001442042 1.6104021e-06 4.9410064e-06 3.2940043e-06 1.2151216e-05 1.2114616e-05 1.07970145e-05 1.0065013e-05 1.6726222e-05 4.1541054e-05 2.0935227e-05 8.930412e-06 8.527812e-06 6.880809e-06 2.5290634e-05 0.004244361 0.00040527235 7.041849e-05 7.34929e-05 9.552613e-06 5.211847e-05 2.0569227e-05 2.0313028e-05 3.1695643e-05 3.5685047e-05 6.130508e-05 1.7202023e-05 1.13460155e-05 1.6799422e-05 1.518902e-05 1.3029618e-05 0.0030437699 0.0012604325 9.193932e-05 0.00030974622 3.3708646e-05 0.00017194703 4.8824466e-05 4.7177462e-05 9.6258125e-05 3.3489043e-05 7.67137e-05 5.266747e-05 1.7092223e-05 1.442042e-05 1.3688418e-05 1.7238623e-05 0.003861122 0.0038998085 7.63843e-05 0.0002940448 7.32001e-05 0.00013245558 3.733205e-05 3.5026245e-05 0.00016206501 1.1382615e-05 4.392006e-06 2.8731038e-05 5.343607e-06 3.733205e-06 3.5502048e-06 2.8621238e-05 0.0015003092 0.003439526 0.00015847821 0.00039407273 9.827113e-05 0.0001535372 9.5416326e-05 0.00010504214 0.0002167455 1.2553816e-05 4.611606e-06 1.0943415e-05 4.538406e-06 6.734409e-06 5.307007e-06 1.3761618e-05 0.002176495 0.0015325905 0.00014925499 0.00029528918 6.844209e-05 9.1975926e-05 8.213051e-05 0.00031981122 0.00021495209 1.7677823e-05 8.308211e-06 1.2041416e-05 8.820612e-06 1.44570195e-05 7.0272094e-06 9.223212e-06 0.0011407137 0.0022059216 0.00025927473 0.0012966299 0.000109653745 0.0001504994 0.00021315868 0.0032925769 0.0017523738 3.3635446e-05 2.3241031e-05 3.696605e-05 1.3615218e-05 3.5319048e-05 1.7641223e-05 2.1081629e-05 0.00028280859 0.0065313517 0.00086163834 0.0019190138 0.00031871322 0.00048052205 0.00076611224 0.0059751775 0.0034907297 0.00016173562 5.391187e-05 8.5168314e-05 4.8970865e-05 6.730749e-05 5.863328e-05 7.49935e-05 0.00039377992 0.006542844 0.00092967786 0.0016222971 0.00042342595 0.0004664676 0.0006346448 0.0045114686 0.0026824907 0.00025949435 0.00010416374 9.548953e-05 8.374091e-05 0.00012476956 8.403371e-05 0.00012978377 0.0006440877 0.0058660726 0.0010611087 0.0011388838 0.0006229694 0.00074784877 0.000753229 0.003244155 0.001804419 0.0005969102 0.00019936047 0.00032665543 0.0003812627 0.00032519145 0.00036563448 0.00033166964 0.0019482938 0.0033926049 0.00091781945 0.0008220005 0.0031047456 0.00075934123 0.00096598506 0.0021971376 0.001641073 0.0008335295 0.000759085 0.0005277727 0.0008437043 0.0007447012 0.0006979263 0.00058819936 0.0011429098 0.0009084498 0.00033529304 0.00028752998 0.0003712343 0.00042580496 0.00042273058 0.0006105254 0.00055796775 0.00076680764 0.0005754626 0.00029638718 0.00032603325 0.0003787373 0.00029217819 0.00024188972 0.00032387383 0.0073708836 0.0028436042 0.0021803381 0.0010836908 0.0019972646 0.0035566464 0.0010164932 0.0019982895 0.0059061134 0.0005200501 0.00034539466 0.0005272969 0.0044709523 0.00093154446 0.0014376133 0.00309124 0.008653825 0.0041431985 0.0034905467 0.0018741421 0.002680368 0.0047463677 0.0017002553 0.002868602 0.007506121 0.0007524238 0.00065429904 0.0008758026 0.005457909 0.0015648716 0.0023150628 0.0043103877 0.04716952 0.047786452 0.047386046 0.04876488 0.047277015 0.04788849 0.048647247 0.050133284 0.04749438 0.048311844 0.0475532 0.04862192 0.04879061 0.04868608 0.049512655 0.051780283 74564.0 11.130358 829924.0 0.06235631 0.00436305 0.005461946 0.004794415 0.007847707 0.005984885 0.0042738854 0.0061897235 0.0077067297 0.0072163236 0.004444985 0.00419677 0.0077922796 0.006536743 0.011855302 0.020127144 0.0075537036 0.0060559763 0.0066777198 0.007091011 0.006230691 0.005989705 0.005755949 0.005237829 0.005833064 0.005882466 0.0065078246 0.005802941 0.006115018 0.0062861177 0.0067512207 0.005580029 0.0056511196 0.0053824205 0.006180084 0.0070729367 0.00590777 0.0064150454 0.005222165 0.004655848 0.004823333 0.0059125894 0.0042642457 0.0054884544 0.006327085 0.0045293304 0.005593283 0.0061873137 0.008752609 0.005133 0.0071825855 0.00676568 0.0068885824 0.00548002 0.0052534933 0.0053992895 0.0047160946 0.0046980204 0.0044895676 0.0053366334 0.0054197735 0.0051932465 0.004806464 0.013060232 0.0044269115 0.031763148 0.011154033 0.019984962 0.01952227 0.05471465 0.013762706 0.012948174 0.014555549 0.033363298 0.0057908916 0.0066801296 0.022095999 0.015014628 0.0322885 0.031920996 0.017661858 0.005343863 0.031545058 0.03152096 0.04361484 0.017358216 0.0072886194 0.0075729825 0.0073247673 0.013827772 0.00530892 0.0043413616 0.0054354374 0.0045425845 0.0044425754 0.004195565 6.0946517 9.0 5.0 27.0 193.0 13663012.0 3031040.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1226310000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 9.0 0.0 5.0 0.0 5.0 0.0 8704.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 3001344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0372624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5920396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.24829 0.0 6.485298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2514.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8628.0 0.0 3001296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 17004.0 3001296.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 16800.0 0.0 0.0 376.0 16384.0 0.0 0.0 0.0 0.0