Input: 0.096065834 0.007989115 0.006046407 0.0052242116 0.005718984 0.0043729125 0.0032378472 0.0033688163 0.006592111 0.00332516 0.003688963 0.0031359822 0.0041182507 0.0034706811 0.003223295 0.0056607756 0.0054061133 0.003230571 0.002859492 0.0030704977 0.0038781406 0.005362457 0.0028813202 0.0029686328 0.0036744107 0.0031432584 0.0029904612 0.0029395286 0.0027794554 0.0031068781 0.0028158356 0.003092326 0.005013206 0.0031723627 0.002866768 0.0029322526 0.003477957 0.0026921425 0.0025175172 0.0029904612 0.0031432584 0.0029977371 0.002735799 0.003216019 0.0032742275 0.0029540807 0.0038926927 0.002983185 0.0031214303 0.002757627 0.0031068781 0.003980005 0.0032523994 0.0034415768 0.0026848665 0.0029104245 0.0032596753 0.0038563123 0.0027867313 0.0042128395 0.003448853 0.0034415768 0.0030486695 0.003456129 0.00849844 0.0033688163 0.0036598586 0.003208743 0.0035798221 0.007014123 0.0039581773 0.0047658198 0.002975909 0.0026921425 0.0025611734 0.0024738607 0.002859492 0.004198287 0.003099602 0.002983185 0.006337449 0.003092326 0.0028376637 0.005136899 0.002874044 0.0037908277 0.004773096 0.0056680515 0.002859492 0.0026339341 0.002626658 0.0029686328 0.003223295 0.0035434416 0.0032596753 0.0033688163 0.0025902777 0.003943625 0.0026557622 0.003929073 0.003936349 0.006461142 0.0043438086 0.0036016502 0.0048022005 0.0046275747 0.004918617 0.0029540807 0.004758544 0.0034925092 0.004052766 0.0048094764 0.0037617236 0.0026557622 0.004642127 0.004511158 0.0076034837 0.008098256 0.003230571 0.0029904612 0.0031869148 0.0031650865 0.0027721792 0.002743075 0.003339712 0.0038854165 0.0032960556 0.0031869148 0.0051805554 0.004387465 0.0043292562 0.0053188005 0.00356527 0.0042710477 0.0025466213 0.002757627 0.0031723627 0.0058863335 0.002961357 0.008782206 0.00356527 0.0042128395 0.0033688163 0.0031214303 0.003216019 0.0026848665 0.0025830017 0.0026921425 0.0030777738 0.0025175172 0.0028231116 0.0026484863 0.002262855 0.0024156522 0.002757627 0.002728523 0.0031359822 0.0029904612 0.0029249766 0.0031068781 0.0029395286 0.0029977371 0.0027139708 0.0030486695 0.0027867313 0.0028813202 0.002735799 0.0026775904 0.002597554 0.002510241 0.002371996 0.0029468047 0.0025393453 0.002859492 0.0032596753 0.003703515 0.002743075 0.0027649032 0.002379272 0.0025175172 0.0031068781 0.002866768 0.0030195653 0.0030632217 0.0030632217 0.0024811367 0.0027649032 0.0025175172 0.0030122893 0.002859492 0.003114154 0.0029177004 0.005158727 0.003463405 0.0034852333 0.0031723627 0.0031723627 0.0025538974 0.0032451232 0.0038563123 0.0033688163 0.0031723627 0.0028158356 0.003230571 0.0028813202 0.0024811367 0.0027867313 0.003092326 0.0035434416 0.0030704977 0.0027794554 0.0031359822 0.0026557622 0.002735799 0.0032014668 0.0034270247 0.0029904612 0.0025902777 0.002728523 0.00284494 0.0031432584 0.0029249766 0.0028376637 0.0033615401 0.003972729 0.0026848665 0.0034415768 0.0030268414 0.0029031483 0.002866768 0.0026557622 0.0030122893 0.0073124412 0.0035798221 0.0027794554 0.004532986 0.003339712 0.0030268414 0.0026048298 0.0034124725 0.0040382138 0.0031432584 0.0029177004 0.0028813202 0.0034925092 0.0033542642 0.0034852333 0.0032887796 0.005129623 0.0031359822 0.0033106077 0.003208743 0.0043292562 0.0029468047 0.0038417603 0.016778598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016605234 0.00040384164 0.00048828125 0.00023496241 0.00042219806 0.00062779017 0.00077831297 0.00054702186 0.00063880405 1.4685151e-05 6.608318e-05 0.00012482378 0.00019824953 5.5069315e-05 7.342575e-05 0.0012776081 0.010628378 0.00024230499 0.00040384164 0.00023496241 0.00034510103 0.00040384164 0.00090313674 0.00046258225 0.0003524436 1.1013863e-05 4.405545e-05 6.608318e-05 0.00011013863 2.5699013e-05 4.772674e-05 0.00075628527 0.009075423 9.9124765e-05 0.00048460998 0.00018723567 0.0009251645 0.00048460998 0.0020265507 0.0010353031 0.00014318022 6.241189e-05 0.00019457824 4.0384162e-05 2.5699013e-05 3.304159e-05 5.1398027e-05 0.00016887923 0.011358964 0.00023496241 0.00084072485 0.00077831297 0.001989838 0.0015272556 0.007559181 0.0037630699 0.000804012 0.00043321194 0.000121152494 9.545348e-05 0.00014318022 9.545348e-05 0.00012482378 0.0002055921 0.013275376 0.00057639217 0.0004772674 0.0004478971 0.0016520794 0.0013950893 0.0042807213 0.0024046933 0.001839315 0.0010169466 0.00039649906 0.00028268914 0.00048460998 0.0004772674 0.00046258225 0.00060576247 0.0037447133 0.00023129112 0.00022394855 0.00017989309 0.00048093867 0.0003524436 0.0002606614 0.00034877233 0.0004992951 3.6712874e-05 0.000117481206 7.709704e-05 0.00024964756 0.00012849507 0.00019824953 0.00038915648 0.007863898 0.0005029664 0.0010426457 0.0013950893 0.0009728912 0.0006645031 0.0023202538 0.0017842457 0.0015052279 0.00051030895 0.00044055452 0.00039649906 0.00066083175 0.00058006344 0.00057639217 0.00134002 0.010107054 0.0017989309 0.00078198424 0.0012041823 0.0032123767 0.0025368598 0.0014868715 0.0018833706 0.0044496004 0.0002716753 0.0005947486 0.00066083175 0.0018980557 0.00087743776 0.0022174576 0.003612547 0.03410993 0.0073609315 0.0047176047 0.0056097275 0.012405281 0.0104191145 0.005429834 0.008117217 0.01568374 0.0012041823 0.0032233906 0.0021991013 0.0066560446 0.002859933 0.007948338 0.01491277 0.046658393 0.04288431 0.041456178 0.042586938 0.039668262 0.04080636 0.04094587 0.0428219 0.04183065 0.041103736 0.040468603 0.04125793 0.041650757 0.04285861 0.0435635 0.04612973 664.0 9.597892 6373.0 0.0095716305 0.0048642713 0.011297662 0.004236623 0.0048642713 0.0050211833 0.0034520633 0.004079711 0.005335007 0.004236623 0.003922799 0.0034520633 0.0048642713 0.0067472146 0.008316334 0.0067472146 0.006590303 0.006590303 0.0073748627 0.0075317747 0.0072179507 0.005491919 0.005805743 0.004236623 0.0072179507 0.005962655 0.0048642713 0.0050211833 0.0076886867 0.008943982 0.00800251 0.0047073592 0.0051780953 0.010356191 0.0075317747 0.013023694 0.011297662 0.011611486 0.010826926 0.010199279 0.008316334 0.0097285425 0.004079711 0.005335007 0.00878707 0.0076886867 0.006276479 0.0069041266 0.010983838 0.005491919 0.0069041266 0.01600502 0.009100894 0.004550447 0.00878707 0.023379885 0.004393535 0.0036089753 0.005491919 0.0050211833 0.004079711 0.0050211833 0.0034520633 0.004550447 0.0028244155 0.02949945 0.0095716305 0.019143261 0.022595324 0.071865685 0.010513102 0.01192531 0.0097285425 0.0340499 0.0048642713 0.008159422 0.03248078 0.015063549 0.02777342 0.03201004 0.014435901 0.0031382395 0.031539306 0.031225482 0.04597521 0.01741723 0.0069041266 0.00878707 0.0097285425 0.012082222 0.004236623 0.004550447 0.003922799 0.004550447 0.0029813275 0.004236623 6.117777 0.0 0.0 0.0 2.0 137437.0 1552384.0 0.0 0.0 165.0 0.0 1.0 0.0 0.0 0.0 1517284700.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26624.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.037118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.516831 0.0 7.2532773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1015808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -462840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26151.0 0.0 30944.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34312.0 30944.0 1519616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.017032841 0.0040213414 0.0039051503 0.0037691218 0.003907984 0.0039391574 0.0038314683 0.0037455058 0.003910818 0.0037691218 0.0037275576 0.003811631 0.00397222 0.0038701987 0.0038909807 0.0037606203 0.003872088 0.0037974613 0.003803129 0.003869254 0.0039467146 0.0039419914 0.0038711433 0.0038258005 0.003957106 0.0039004271 0.0038730325 0.0038069077 0.0038361915 0.003869254 0.0038465825 0.0039523826 0.004048736 0.0037285022 0.0037360594 0.003835247 0.003910818 0.003929711 0.0038380807 0.0038598075 0.003705831 0.0038305237 0.0037936827 0.0038805897 0.0038834235 0.0037672326 0.0039202645 0.003916486 0.0038683093 0.003832413 0.0038900361 0.003913652 0.0037747899 0.0037946273 0.0040005594 0.003983556 0.0037379488 0.0038569737 0.0037351148 0.0037341702 0.0038446933 0.0038626415 0.0037521184 0.0038541397 0.004453043 0.0038579183 0.0038843683 0.0038975934 0.003895704 0.003979777 0.0038012397 0.0038446933 0.0038777557 0.0038654753 0.0038815343 0.003810686 0.0037993505 0.0040402343 0.003895704 0.0038843683 0.003963718 0.0038154095 0.0037615648 0.0037681772 0.0038541397 0.0037729004 0.0038900361 0.0037587308 0.003937268 0.003861697 0.0037455058 0.0038125755 0.003916486 0.00378707 0.003835247 0.0037889595 0.0038777557 0.003766288 0.003853195 0.003898538 0.003993002 0.0039070398 0.0037719558 0.0037681772 0.0037965165 0.0038059629 0.0038834235 0.0037936827 0.0037946273 0.0037889595 0.003885313 0.003858863 0.003907984 0.0037842363 0.003969386 0.003869254 0.0039788326 0.0038021845 0.0039051503 0.003737004 0.0038909807 0.003842804 0.00383997 0.0038343023 0.0037341702 0.003792738 0.0039070398 0.003873977 0.004229163 0.0037351148 0.0037946273 0.0038711433 0.0037785682 0.003842804 0.0037965165 0.0037946273 0.003898538 0.00383997 0.0038673647 0.0038333575 0.0042556124 0.0038390255 0.004296232 0.0039486038 0.0039863894 0.003800295 0.0037473952 0.0038333575 0.003882479 0.0037984059 0.003773845 0.003842804 0.0038664201 0.0038191879 0.0036982738 0.0038154095 0.003832413 0.003823911 0.0038125755 0.0037814023 0.0037681772 0.0038182433 0.0038343023 0.0036954398 0.003803129 0.003911763 0.0039419914 0.0036907166 0.0038314683 0.0037492844 0.0037691218 0.0038078523 0.003800295 0.003737004 0.0038333575 0.0037615648 0.0037908487 0.0038579183 0.003908929 0.0037653435 0.0037946273 0.0038380807 0.0038966485 0.004014729 0.0039712754 0.003958995 0.0038711433 0.0039127073 0.0038059629 0.0037615648 0.003910818 0.003829579 0.0037984059 0.0037672326 0.003835247 0.0038569737 0.0037625094 0.0038201327 0.0038673647 0.0038626415 0.003872088 0.00381352 0.00394577 0.0037832914 0.003895704 0.0038078523 0.0038711433 0.0038465825 0.0038872021 0.0037832914 0.0038569737 0.003792738 0.0038040737 0.0037880149 0.003872088 0.0039127073 0.003993002 0.0037341702 0.0037643986 0.0038569737 0.00381352 0.004033622 0.00381352 0.0038843683 0.003829579 0.00378707 0.0037747899 0.003629315 0.0038711433 0.003837136 0.003673713 0.0038513057 0.0040430683 0.003829579 0.0038598075 0.0038475273 0.003763454 0.0037889595 0.0038494165 0.0038900361 0.0038087969 0.0038418593 0.003856029 0.003826745 0.0037804577 0.0038673647 0.003990168 0.0039070398 0.0039627734 0.0037861255 0.003911763 0.003910818 0.0038966485 0.0038541397 0.0039958362 0.0043935305 0.003875969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008961286 0.0 1.892563e-06 2.8388445e-06 9.462815e-06 9.462815e-06 3.122729e-05 1.5140504e-05 0.0 9.462815e-07 4.7314074e-07 0.0 0.0 9.462815e-07 4.7314074e-07 0.0 0.0008734178 8.043393e-06 1.0409097e-05 2.1764474e-05 5.2045484e-06 4.258267e-06 1.6559927e-05 6.15083e-06 1.4194222e-06 9.462815e-07 9.462815e-07 3.3119852e-06 1.230166e-05 0.0 2.3657037e-06 1.892563e-06 0.00081001694 2.460332e-05 2.460332e-05 3.785126e-06 1.892563e-05 8.516534e-06 3.3119853e-05 2.6495882e-05 1.892563e-06 1.4194222e-06 3.785126e-06 1.892563e-06 3.3119852e-06 2.8388445e-06 1.4194222e-06 2.3657037e-06 0.0007906182 4.258267e-06 5.2045484e-06 8.989674e-06 1.9871912e-05 4.258267e-06 4.258267e-06 4.258267e-06 1.5613645e-05 1.892563e-06 3.3119852e-06 8.516534e-06 1.6559927e-05 1.4194222e-06 2.0345053e-05 5.9615733e-05 0.0006955169 5.3938045e-05 6.15083e-06 7.0971114e-06 3.5012414e-05 8.989674e-06 7.0971114e-06 7.0971114e-06 9.794014e-05 6.6239704e-06 8.989674e-06 8.516534e-06 5.2045484e-06 4.258267e-06 8.043393e-06 8.516534e-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 0.0005384342 1.6559927e-05 5.677689e-06 7.570252e-06 6.198144e-05 4.0216964e-05 0.00016086786 7.948765e-05 3.122729e-05 4.258267e-06 3.785126e-06 5.677689e-06 2.8388445e-06 2.8388445e-06 4.7314074e-06 2.8388445e-06 0.001189949 3.9270682e-05 5.583061e-05 4.9679777e-05 7.002483e-05 5.866945e-05 3.6904978e-05 5.2991763e-05 0.00013626454 2.1764474e-05 1.1355378e-05 2.6969023e-05 4.7787216e-05 1.0409097e-05 3.075415e-05 9.935955e-05 0.0018783688 0.00040595475 0.00016796496 9.935955e-05 0.00043812834 5.157234e-05 5.677689e-05 8.232649e-05 0.00024887203 4.8260357e-05 4.9679777e-05 7.3336814e-05 3.3592994e-05 2.8388446e-05 5.3464904e-05 0.00015992158 0.00037662004 5.725003e-05 1.6559927e-05 1.7506207e-05 7.996079e-05 3.785126e-05 0.00013721082 7.097111e-05 0.00010125212 1.1355378e-05 9.935956e-06 1.0882237e-05 6.15083e-06 6.15083e-06 8.989674e-06 2.0345053e-05 0.00040595475 1.6086786e-05 5.4884327e-05 6.3874e-05 8.3272775e-05 3.170043e-05 2.0818194e-05 1.7979348e-05 4.5894652e-05 9.462815e-06 1.0882237e-05 1.1828519e-05 3.9743823e-05 8.043393e-06 3.2646712e-05 0.00011591948 0.00072816364 0.00019067572 0.00034823158 0.00030470264 0.0002346778 0.000100778976 0.00013295255 0.00021338648 0.00055120897 0.00010125212 8.7057895e-05 0.00021196705 9.462815e-05 7.759508e-05 8.989674e-05 0.0004087936 0.0006988289 0.0001253823 0.00012964057 0.00013863023 0.00031085347 0.00019777284 7.3809955e-05 9.084302e-05 0.00020818193 4.447523e-05 3.217357e-05 5.157234e-05 0.00016654555 0.00022237615 0.00018215919 0.00023373152 0.060783446 0.061064962 0.060775403 0.06071484 0.06131999 0.06075127 0.060760736 0.060984056 0.061122213 0.060889903 0.06058804 0.06150735 0.06102049 0.06129018 0.06074654 0.06145578 4747.0 5.6865387 26994.0 0.011076535 0.010002223 0.009668815 0.010298585 0.010891309 0.009187227 0.009150182 0.011002445 0.0095947245 0.010854264 0.008779729 0.009668815 0.010002223 0.009854042 0.011891532 0.01033563 0.010002223 0.010187449 0.0095947245 0.0095947245 0.010706083 0.010557902 0.01040972 0.010669038 0.009557679 0.010817219 0.009224272 0.009928132 0.010965399 0.009668815 0.010224494 0.010261539 0.009891087 0.009298363 0.011261762 0.011558124 0.009816997 0.010520857 0.010150404 0.010891309 0.009002 0.009150182 0.010076313 0.009113137 0.009854042 0.010039268 0.01033563 0.009483589 0.011484033 0.009854042 0.010224494 0.0106319925 0.011187672 0.009816997 0.010039268 0.011076535 0.009261318 0.010224494 0.010002223 0.00963177 0.010557902 0.010261539 0.0106319925 0.01040972 0.010594947 0.012261984 0.010891309 0.010520857 0.0121878935 0.014521746 0.0095947245 0.010150404 0.010557902 0.01103949 0.010557902 0.00963177 0.011335853 0.010965399 0.010520857 0.010261539 0.012039713 0.0106319925 0.013595614 0.0111506265 0.013188116 0.010780173 0.0111506265 0.009446544 0.0111506265 0.010298585 0.011261762 0.009779952 0.008520412 0.010298585 0.010298585 0.010446766 6.579095 0.0 0.0 0.0 22.0 1058602.0 24576.0 0.0 0.0 53.0 0.0 0.0 0.0 0.0 0.0 1434640600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 3.0 0.0 2.0 1.0 2.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.122667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.135271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 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 2.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 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 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 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 -2.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16777354.0 15592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 492.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.13894403 0.008418719 0.004083236 0.0033398375 0.0060878666 0.0038516065 0.001979163 0.0019124632 0.0076898728 0.0014734578 0.001660217 0.0014686069 0.004461606 0.0013388456 0.0012005952 0.0037946084 0.0060126777 0.0014686069 0.0011581499 0.0008743729 0.0024108922 0.0019342923 0.00074946246 0.0008064604 0.0022520255 0.00073733524 0.0008113113 0.0006948899 0.0015789646 0.0005905958 0.00058089406 0.0005530014 0.003797034 0.0005736177 0.000637892 0.00053117244 0.0040650456 0.0012891239 0.00045477092 0.00054936326 0.0011581499 0.0006391047 0.00057119224 0.00092288177 0.0010817484 0.0022920454 0.0006621464 0.00050691795 0.008818918 0.0030766767 0.006357091 0.0103348205 0.0065171705 0.0023332778 0.006059974 0.002014332 0.007030152 0.0023466179 0.00069974083 0.0014516287 0.0016323244 0.00095562526 0.00045598362 0.00051783246 0.011531778 0.0038479683 0.004801168 0.008646711 0.0037897576 0.0318946 0.0032015871 0.0026534367 0.0033143703 0.0034756626 0.0021440932 0.002306598 0.0026546493 0.0042978884 0.0011363209 0.0015001376 0.008874702 0.0021004353 0.002014332 0.009557465 0.0031397385 0.013555812 0.0031567165 0.002053139 0.0018869961 0.0063813454 0.0026861802 0.0031930981 0.0015340939 0.0045428583 0.0023296399 0.0035314476 0.005647648 0.004535582 0.0020385864 0.0034126008 0.009491978 0.0062370314 0.004211785 0.0017257041 0.008157983 0.0043706517 0.003928008 0.0015559229 0.003845543 0.0019015488 0.0046325997 0.004168127 0.0036163384 0.0018736562 0.0051273904 0.0040044095 0.010433051 0.0056585628 0.0020652662 0.0012927621 0.0031906727 0.0012381896 0.0005202579 0.0005784686 0.0016201972 0.00246789 0.0010417285 0.00085739477 0.0051395176 0.0011351082 0.0010671958 0.008883192 0.0030596987 0.00316278 0.0010138359 0.0006063612 0.0026097787 0.01488738 0.002188964 0.0507015 0.0011727026 0.010782315 0.00084041664 0.00066699734 0.002603715 0.00043536734 0.0007130808 0.0006330411 0.0011011519 0.00091803086 0.0014819468 0.00055663957 0.0011508736 0.00057725585 0.0004899399 0.00069852814 0.00093743444 0.00046689814 0.00045598362 0.0004111129 0.00087922375 0.003263436 0.00045719635 0.0025006337 0.0013958435 0.00080160954 0.0005530014 0.0004438564 0.0010259632 0.0004487073 0.00049964164 0.00047781263 0.0008307149 0.00044143095 0.0007276335 0.00064516836 0.0012988257 0.00067184825 0.0016965987 0.0005263215 0.0008610329 0.0006572956 0.00069852814 0.0015486465 0.003088804 0.0024848683 0.0045598364 0.00080767315 0.0009810925 0.0004705363 0.0008367785 0.0007009536 0.011762195 0.0011266192 0.0022423237 0.010146849 0.004272421 0.0010380904 0.0034877898 0.003302243 0.0018336363 0.0017305549 0.0009641143 0.0012769967 0.0016493025 0.0008755856 0.0009726034 0.00092409446 0.002818367 0.0011278319 0.0029165975 0.0013267184 0.001777851 0.0007531006 0.001572901 0.00085860747 0.003302243 0.00064153015 0.0010647703 0.0017523839 0.0014673942 0.00070459174 0.0005517887 0.000825864 0.0023914885 0.00064516836 0.0008610329 0.0009713907 0.002385425 0.0023842123 0.0005396615 0.0006803373 0.02707039 0.0059083835 0.0010720466 0.005784686 0.0064056 0.001022325 0.00066699734 0.0007397607 0.0071017025 0.0009580507 0.0017814892 0.0009010528 0.008959593 0.002128328 0.0040165368 0.002543079 0.00987156 0.0029942116 0.0030136153 0.0035423622 0.014598752 0.003918306 0.0042178486 0.067591086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0088989865 0.0 0.0 0.0013828563 0.0009121871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010874582 0.0 0.0 0.0024578038 0.0015929872 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009347793 0.0 0.0 0.00403743 0.0027839318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027250224 0.0 0.0 0.00207641 0.0014174732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000539903 3.6438898e-06 1.7612134e-05 6.559002e-05 0.00014575559 7.409243e-05 6.07315e-06 7.2877797e-06 1.5182874e-05 0.0 0.0 1.8219449e-06 7.895095e-06 3.036575e-06 4.85852e-06 0.00035102805 0.0059705134 0.00020162857 0.00020891636 0.0005392957 0.0018711375 0.0004779569 0.002396465 0.0010427599 0.00019069691 9.8385026e-05 9.0489935e-05 7.348511e-05 0.0006577221 0.0003722841 0.00039232548 0.0028288732 0.013046948 0.0006279637 0.00092615536 0.0020381492 0.004043503 0.003533966 0.006821969 0.0031428551 0.00044455458 0.0002307797 0.0003042648 0.00032369889 0.0020393638 0.001081628 0.0010986328 0.0088030305 0.0203408 0.0012759687 0.0012079495 0.0020351126 0.0071651023 0.002508211 0.0065529286 0.003189011 0.0023424139 0.0009546992 0.0009565211 0.0013081565 0.003974269 0.002595057 0.0026187422 0.009383016 0.019806972 0.0015298264 0.0012255616 0.002220951 0.009233617 0.0039609084 0.005764634 0.003337803 0.0056923633 0.0013846782 0.0017423867 0.0022579972 0.0037835725 0.0017363136 0.003962123 0.009474721 0.07253102 0.0096204765 0.0071347365 0.009879193 0.04121968 0.029990429 0.020877667 0.013673089 0.050443582 0.0051852553 0.0059340745 0.008959718 0.016451556 0.006931893 0.026891908 0.059847854 0.059052274 0.00992717 0.008936033 0.01143817 0.027557526 0.029994072 0.017317588 0.014318058 0.048823874 0.0057676705 0.006353122 0.008967613 0.020677254 0.010719109 0.024581682 0.047558837 0.00022895775 4.6763253e-05 8.441678e-05 5.101446e-05 8.866799e-05 9.71704e-05 4.251205e-05 6.437539e-05 0.00013178735 2.8543804e-05 3.279501e-05 2.8543804e-05 8.259484e-05 5.8909554e-05 7.166317e-05 0.00010506549 5347.0 19.547222 104519.0 0.0044776546 0.00010524402 0.00045924666 7.654111e-05 0.00275548 0.00046881428 0.00010524402 0.00014351458 0.0003252997 0.00033486733 0.0006027612 0.00047838193 0.00041140846 0.011720357 0.0009280609 0.00038270553 0.046192557 0.01717391 0.046240397 0.0133468555 0.042939562 0.015049895 0.044613898 0.012428362 0.04578115 0.014734163 0.0006793023 0.00042097608 0.00078454637 0.00044011135 9.567638e-05 0.000114811664 0.0011194136 0.007013079 0.006085018 0.011930845 0.0058649625 0.013260747 0.0038844612 0.0025258565 0.004047111 0.014466269 0.0020187716 0.0032817 0.005606636 0.005482257 0.0036452701 0.0075775697 0.010610511 0.0021527186 0.004917766 0.016829476 0.010744458 0.0051473896 0.0048507927 0.0028702915 0.0022866656 0.004401114 0.0012533606 0.002458883 0.00095676386 0.0022962333 0.0023919097 0.018245487 0.00021048804 0.026760684 0.013059827 0.023612931 0.02447402 0.044996604 0.011969116 0.0098451 0.018829113 0.030023249 0.008362116 0.007032214 0.022723142 0.011127164 0.033132732 0.029477894 0.019230952 0.0037505142 0.03407036 0.025019374 0.037141573 0.010600943 0.0110410545 0.006276371 0.0144375665 0.0054918244 0.00086108746 0.00023919097 0.000449679 0.00021048804 0.0002487586 0.00025832624 5.660632 0.0 2.0 14.0 4.0 824591.0 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 -6.607877 0.0 0.0 0.0 0.0 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: 0.05675966 0.008304521 0.0061765397 0.0056559513 0.005754469 0.0049601058 0.004205149 0.005421583 0.005048253 0.0056217294 0.0037540419 0.004458184 0.0049549206 0.0031795283 0.004320259 0.0046365527 0.005037883 0.003759227 0.0049300315 0.0041522607 0.004354481 0.0031795283 0.0041004093 0.00383493 0.005076253 0.0033402676 0.003171232 0.0029233822 0.0041439645 0.0034398222 0.003793449 0.0037913749 0.0061682435 0.0038245597 0.0034844144 0.0030156777 0.0048958096 0.0041730013 0.0038494484 0.003720857 0.004726774 0.0038971517 0.0033309343 0.0030893069 0.0043700365 0.0037104867 0.0037270791 0.0035767101 0.0055149156 0.0039469292 0.0031090104 0.0028964195 0.0036773018 0.0030758255 0.0026952361 0.0028549384 0.004162631 0.00331849 0.0035186363 0.0033464897 0.004012262 0.0032189353 0.003507229 0.0034605628 0.006597573 0.003944855 0.0036140431 0.0032220464 0.0041512237 0.0032189353 0.003542488 0.0030789366 0.005004698 0.0037820416 0.0037146348 0.0035881174 0.004127372 0.0031224918 0.003544562 0.0034595258 0.0051716594 0.0036285615 0.0036399688 0.0033392305 0.003930337 0.0033796746 0.0033693044 0.003542488 0.004651071 0.0036410058 0.0038038192 0.003506192 0.0041076685 0.0033786376 0.003686635 0.003795523 0.005906912 0.0036347837 0.0033371565 0.0029576041 0.004012262 0.003055085 0.0032676756 0.0030301963 0.004976698 0.003167084 0.0031950837 0.003058196 0.003574636 0.0028300497 0.0030851588 0.0031847134 0.004501739 0.0032936013 0.0032168613 0.0031370101 0.0038961146 0.0033267862 0.0032946384 0.0036295985 0.0046303305 0.0032987865 0.0034750812 0.0031639729 0.00404441 0.003205454 0.003464711 0.0033475268 0.008659185 0.0045929975 0.0040247063 0.0035269326 0.0043679625 0.003431526 0.0030198258 0.003390045 0.004541146 0.003830782 0.0029617522 0.0031940467 0.0037301902 0.0027927167 0.0028497532 0.0029824928 0.005228696 0.003205454 0.0034854515 0.0030239741 0.0036700426 0.0031743431 0.0033060457 0.0032738978 0.0045473683 0.002841457 0.0030457517 0.0027045694 0.0035155253 0.0032324167 0.002989752 0.0031546396 0.005015068 0.0034118225 0.0032718237 0.0027947908 0.0037778935 0.0030136036 0.003053011 0.0031826394 0.0041377423 0.0030011593 0.0031204177 0.0030187888 0.003649302 0.0028290127 0.0029202711 0.0030384925 0.004680108 0.0031110845 0.0038390781 0.0028456051 0.0035653026 0.0031546396 0.0029824928 0.0031214547 0.0042580375 0.0031494545 0.0033330084 0.0031743431 0.0036638204 0.0031898986 0.0033298973 0.0033496008 0.0067240903 0.004056854 0.003726042 0.0033361195 0.004120113 0.0032510832 0.0033070827 0.0032272316 0.0043295925 0.0033267862 0.0031141955 0.0030789366 0.0036410058 0.0029856039 0.0030789366 0.002803087 0.0042570005 0.0032707867 0.0030810107 0.0030084185 0.0037094497 0.0030063444 0.0029296044 0.0029441228 0.00397804 0.0031079734 0.0027325691 0.0026464958 0.0035300436 0.0029472339 0.0035850063 0.0028829381 0.0049497355 0.00324175 0.003397304 0.0029741966 0.003797597 0.0030675293 0.0031971578 0.0029067898 0.0044457396 0.005447509 0.0034615998 0.0031401212 0.0037820416 0.0030716774 0.003246935 0.003202343 0.004618923 0.003314342 0.0034211557 0.0030436777 0.0037415975 0.0030799736 0.0033122678 0.0032376018 0.004347222 0.0030343444 0.0031878245 0.0028580495 0.004017447 0.003094492 0.004235223 0.0045214426 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045903632 0.00029296876 0.00027167136 0.00026803525 0.00030335772 0.00024102394 0.00032829124 0.00030283828 0.00033400516 0.00034906916 0.00033088846 0.00035530253 0.00051944813 0.00015739279 0.00018855967 0.0007412525 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09923537 0.061995614 0.062450133 0.05530824 0.060589988 0.05956408 0.054939434 0.05447816 0.060480386 0.053164996 0.052120905 0.05293592 0.056422457 0.050520487 0.05662764 0.053847034 4021.0 5.7050486 22940.0 0.017131647 0.010505667 0.009372275 0.00858762 0.013513514 0.0125980815 0.011857018 0.011508282 0.01255449 0.009677419 0.008456844 0.00858762 0.013862249 0.010505667 0.01190061 0.00989538 0.01673932 0.011944203 0.008718396 0.0074978205 0.009808196 0.008500436 0.007802964 0.008326068 0.010244115 0.008456844 0.009633827 0.0088055795 0.011508282 0.008936356 0.009590236 0.009154316 0.018003488 0.010854403 0.010331299 0.009154316 0.010810811 0.0088055795 0.010723627 0.008282476 0.014254577 0.011595466 0.009764603 0.008936356 0.011464691 0.009328684 0.011639059 0.009546643 0.014777681 0.009590236 0.009938971 0.009067131 0.0121185705 0.009372275 0.009633827 0.00989538 0.013775066 0.0092415 0.010549259 0.009503052 0.011115954 0.009808196 0.010418483 0.010723627 0.018003488 0.010985179 0.009721011 0.0081517 0.013077593 0.008238884 0.009372275 0.008326068 0.015475153 0.009372275 0.008892763 0.008674804 0.011377507 0.008020924 0.00989538 0.0079337405 0.013164777 0.008020924 0.008718396 0.008718396 0.011421098 0.009459459 0.0081517 0.007977332 0.010941586 0.008979947 0.012031387 0.008544028 0.0113339145 0.008979947 0.010069747 0.008761988 6.554401 0.0 0.0 0.0 14.0 964294.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2511397 0.0132584255 0.0077407467 0.013389818 0.012292975 0.011808209 0.010606088 0.015086499 0.016495094 0.0060767103 0.010105 0.004322087 0.009374587 0.0020892264 0.00086588634 0.0026319355 0.0052034794 0.0026384643 0.0010772573 0.00083732273 0.0024744275 0.0035712712 0.0012102822 0.0005933076 0.0012674095 0.00058433047 0.00049211073 0.00076632167 0.0012829155 0.0012486392 0.00063982554 0.00060228474 0.0062489086 0.00046109877 0.0020573982 0.00061860686 0.003303589 0.0011270397 0.0010911311 0.00041131643 0.0010658319 0.00044232837 0.00065369933 0.00084221934 0.0010837861 0.000737758 0.0013849285 0.0012812833 0.0029347101 0.00093933573 0.0007344936 0.0032946118 0.00086425414 0.00097361207 0.00071898766 0.0014600101 0.0009083238 0.0013457555 0.0011352007 0.0015448849 0.0011580517 0.0011360168 0.0004643632 0.0008348744 0.007116427 0.003013056 0.0012894444 0.0015261145 0.058807638 0.0039760587 0.0034268207 0.0015024475 0.0013539166 0.0018297052 0.00049782346 0.0005712728 0.0021765495 0.0021316637 0.001459194 0.00089853053 0.006143631 0.0014600101 0.0013302496 0.003169748 0.0015587587 0.0021047322 0.0029012498 0.0030244815 0.0013073987 0.0013612615 0.0006447222 0.0010136012 0.0013849285 0.0013114791 0.003993197 0.00197742 0.0010894989 0.0038846552 0.0014428719 0.0030032627 0.0044192034 0.0076085376 0.008907775 0.0034276368 0.0045489636 0.004211913 0.0028588125 0.0009989113 0.010794608 0.0020361794 0.0048590833 0.0048346003 0.0024670823 0.00083161 0.0047505414 0.0037385726 0.008590311 0.0061020097 0.0032187141 0.0027576154 0.0016770938 0.001490206 0.00078019546 0.00093933573 0.0014004345 0.0014110438 0.0011874314 0.0010731767 0.003255439 0.001200489 0.0010266588 0.0031411843 0.0014885737 0.0045995624 0.00096789934 0.0007720344 0.0013865607 0.0037157217 0.00072225207 0.009722247 0.0009197492 0.0046118037 0.0007173554 0.00080141413 0.001043797 0.00061697466 0.00072225207 0.0012804673 0.0008536448 0.0007108266 0.0010682802 0.00068144687 0.00094831287 0.002032099 0.00068960787 0.00062676787 0.00084058713 0.0007075622 0.0006447222 0.00064064167 0.0009793248 0.0016191504 0.0020353633 0.00090097886 0.00083569053 0.00076795387 0.0006496188 0.00067981466 0.0010829701 0.0007075622 0.00083569053 0.0009132204 0.00085935753 0.00072551647 0.000776931 0.00069940113 0.0012682256 0.00074183854 0.00079162087 0.00068471127 0.00078672427 0.0010715446 0.0007516318 0.0008095752 0.0012665935 0.0007908048 0.0006936884 0.00083161 0.00084385154 0.00079651753 0.00089036947 0.0009540256 0.004465721 0.0011074531 0.0017750262 0.0016811743 0.0022026647 0.0006088136 0.008698853 0.00197742 0.0011033727 0.0013049503 0.00076387334 0.00071490713 0.04699535 0.00065533153 0.0010389005 0.0007483674 0.0013082147 0.00084140326 0.00085609313 0.00082181673 0.00093280687 0.00060065254 0.0011776381 0.00096708327 0.0012829155 0.00066267647 0.00064717047 0.0009834054 0.00080059806 0.00082916167 0.00060146867 0.00068471127 0.0017211634 0.00080059806 0.0008381388 0.00058188214 0.0011237753 0.00059983646 0.00074183854 0.00073367753 0.004369421 0.001373503 0.00069287233 0.0018949935 0.0025087039 0.00066757307 0.00088628894 0.0010478776 0.0021871587 0.00096300273 0.00076305727 0.0010992921 0.0016011961 0.0006765502 0.0012682256 0.0014820449 0.0022638727 0.001043797 0.00074918347 0.0012045695 0.0025029911 0.0019031545 0.0018093026 0.093225196 0.044246864 1.0215089e-05 4.494639e-06 8.1720714e-07 1.3483917e-05 1.0215089e-05 2.3290402e-05 4.903243e-06 2.0430177e-06 1.2258107e-06 0.0 1.6344143e-06 3.2688286e-06 4.0860357e-07 0.0 2.860225e-05 0.0055300407 9.2753005e-05 8.989278e-06 1.1032296e-05 2.0021575e-05 8.172071e-06 4.126896e-05 1.838716e-05 1.716135e-05 1.2258107e-06 2.4516214e-06 3.2688286e-06 2.4516214e-06 1.6344143e-06 2.8602249e-06 9.602184e-05 0.011515674 0.00017569953 7.1914226e-05 4.9849634e-05 0.00012871012 5.638729e-05 0.00014587147 6.701098e-05 5.638729e-05 2.7785041e-05 4.0860356e-05 4.004315e-05 3.2688284e-05 2.7376438e-05 3.4731303e-05 8.131211e-05 0.015124461 0.00059329235 0.00035017324 6.578517e-05 0.00145422 0.0006778733 0.00028152784 0.0001609898 0.00015486075 4.249477e-05 4.739801e-05 6.1290535e-05 5.5570083e-05 5.843031e-05 3.350549e-05 8.498954e-05 0.009327602 0.00040819496 0.0003571195 0.0002635493 0.0002427105 0.00025905465 0.00025047397 0.00032361402 5.393567e-05 2.410761e-05 1.6752745e-05 1.3483917e-05 3.227968e-05 1.6344142e-05 2.410761e-05 0.00010215089 0.007380606 0.00014791448 0.00010541972 8.866697e-05 0.020315768 0.00010664553 0.0029166122 0.0003305603 0.0001503661 3.8408733e-05 9.316161e-05 2.3699005e-05 0.013337637 2.3699005e-05 3.3096887e-05 9.602184e-05 0.02189257 0.00036079693 0.00039430242 0.00023412984 0.024312321 0.001532672 0.014075984 0.0011988429 0.00024352771 3.3914097e-05 5.1075443e-05 6.537657e-05 0.023067305 6.169914e-05 0.00010623693 0.005256276 0.061245587 0.0007763468 0.002320051 0.0005900235 0.013683724 0.0015257257 0.012781119 0.008955773 0.0017917266 0.00026926975 0.00086623954 0.0011657459 0.012236451 0.0011833159 0.0015919195 0.020439576 0.080542706 0.0013344992 0.0028536872 0.0010333584 0.0033480974 0.0012507355 0.008470761 0.0055958256 0.0034612808 0.0045269188 0.0048582964 0.003992057 0.004025154 0.0024573419 0.0020565018 0.031699054 0.016472036 0.0004829694 0.0015575967 0.00098024 0.0029582898 0.0017431028 0.0062749246 0.0036696685 0.0007375294 0.00048419522 0.00035425927 0.00033709794 0.0005867547 0.0003305603 0.0005471202 0.00348784 0.02044693 0.0010264121 0.002030351 0.0017357479 0.004401886 0.0022027818 0.005595417 0.0037305504 0.00087931484 0.0011890363 0.0006447764 0.00057858264 0.0019204367 0.00071995944 0.0009557237 0.005498578 0.015843194 0.001465661 0.0011604341 0.0018358558 0.002223212 0.0022432336 0.00339713 0.0024001373 0.0010983264 0.0012335741 0.0007702177 0.0007501961 0.0020802007 0.0009855517 0.0011747353 0.0048529846 0.012550667 0.0018481138 0.0016005001 0.0021051255 0.0017140919 0.0025051483 0.0027515364 0.0018677269 0.0017561781 0.0012960904 0.0008335513 0.0010378531 0.0018358558 0.0012940475 0.0013095743 0.0055349437 0.041313495 0.009500441 0.0054887715 0.006262258 0.009338225 0.012437483 0.006870669 0.008167985 0.017557696 0.0027016867 0.004170208 0.003453926 0.010561993 0.004086036 0.00750237 0.024645332 0.023086919 0.006292086 0.004527736 0.0052137813 0.00754037 0.008167576 0.0051300176 0.0059762355 0.011141393 0.0022567175 0.002339664 0.0024614278 0.0061650104 0.002769515 0.005235846 0.012992776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6746.0 24.132374 162797.0 0.011062858 0.00052826526 0.0077826986 0.0009091077 0.0031818768 0.003243303 0.00042998337 0.00049140956 0.0006388324 0.0005098374 0.001001247 0.00077397004 0.0031880194 0.0028317475 0.0045639663 0.0017383613 0.006394467 0.00321259 0.00243862 0.0028133197 0.0012285239 0.0010749584 0.0012162386 0.00579249 0.0014312303 0.001111814 0.0015540827 0.0011670977 0.0036364307 0.0014496582 0.00089067983 0.0018120727 0.005036948 0.009736052 0.0025737574 0.0055160723 0.42592922 0.0046561053 0.012414234 0.0075308513 0.0024140493 0.007813412 0.00077397004 0.0020270643 0.009048078 0.0050308052 0.0058047753 0.0029300295 0.007825697 0.0014987991 0.0032678735 0.007346573 0.0045209676 0.0028993164 0.0033108718 0.004821956 0.0039312765 0.0013698041 0.00064497505 0.00065726024 0.003052882 0.00077397004 0.014883567 0.0044288286 0.0005098374 0.012709079 0.0028133197 0.008575097 0.019779235 0.028784314 0.046911184 0.014687003 0.0043981154 0.013863892 0.0011302419 0.0015049417 0.065173194 0.006019767 0.014134167 0.014508867 0.0055897837 0.00034398667 0.015116986 0.013182061 0.02040578 0.0048035285 0.0125248 0.006081193 0.00321259 0.0032555882 0.00055897835 0.0001904212 0.0013575188 0.0004115555 0.0023034823 0.00058969145 4.215646 1.0 39.0 0.0 18.0 1225334.0 20480.0 1.0 0.0 51.0 0.0 0.0 0.0 0.0 0.0 996727550.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 2.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.394595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8966.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 11868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15717119 0.011707702 0.006230349 0.0050615957 0.012511327 0.0048848237 0.0040219883 0.0032977387 0.010892492 0.0027832983 0.0025752052 0.0023190577 0.0076059084 0.0024589305 0.0016115413 0.00879397 0.0084344195 0.001957362 0.0014038773 0.001290606 0.0060527194 0.0029566376 0.0013772757 0.0011391486 0.0050890553 0.0011580272 0.0008967309 0.0015458955 0.004219355 0.0009319137 0.0016454369 0.0010777933 0.008171836 0.00083065603 0.0011219863 0.0009649511 0.02802563 0.0015862269 0.00074913504 0.0011374324 0.0027824403 0.0009430692 0.0009834006 0.0024430554 0.0027489737 0.0034882403 0.0013176367 0.0010953847 0.0056845876 0.0031462812 0.0029707965 0.0081237815 0.004307741 0.003916011 0.0030235706 0.0033796888 0.004558311 0.0041820267 0.0020539 0.0068048574 0.0031110984 0.0031793187 0.0018809896 0.0020371666 0.0043806806 0.0023010373 0.001927328 0.0035504538 0.010352308 0.003920302 0.003730229 0.0023778386 0.0033466513 0.00161669 0.0012640045 0.0013227854 0.0063805194 0.002357673 0.002319916 0.0015995277 0.0096447915 0.005256388 0.004079053 0.0047779884 0.005532272 0.0034371824 0.0054026963 0.004384113 0.0039936705 0.0036427013 0.0019303313 0.0033719656 0.0028493733 0.005234935 0.007007373 0.004592635 0.0016454369 0.0035023992 0.0011953552 0.0019161724 0.0036821745 0.004375103 0.005762247 0.0020367377 0.005381244 0.003508406 0.0053627943 0.000934059 0.0036658703 0.0016003858 0.004093212 0.003173741 0.0026798954 0.000964093 0.0035028283 0.0034569192 0.01278764 0.0095032025 0.0014858274 0.0016647445 0.0021019545 0.0015218682 0.0009898365 0.0008885788 0.0048603676 0.001779732 0.0020573323 0.0016471532 0.0038151825 0.0020586196 0.0010400362 0.017404303 0.00504143 0.009356036 0.0019736663 0.001201362 0.0026859022 0.014674637 0.0020101361 0.040419824 0.002098951 0.010381055 0.0015463245 0.0011914937 0.0022770101 0.0008044835 0.00067662424 0.0009773938 0.0017775868 0.0009949852 0.0011949261 0.0009070283 0.0014025902 0.0010649216 0.00072424964 0.0008237911 0.0013648331 0.0007495641 0.0008993053 0.00083795 0.0013227854 0.0015278751 0.0009585153 0.0009400658 0.0012047945 0.0007058002 0.00060025195 0.00057579565 0.0014699522 0.00065431325 0.00063500565 0.00061741425 0.0012168081 0.0006465902 0.00065645855 0.00074999314 0.0013910056 0.0007251078 0.0006680431 0.00075514184 0.0013480998 0.00080276723 0.0021598772 0.0014914051 0.0026361314 0.0014480703 0.0013528194 0.0010293098 0.0014686651 0.0009065993 0.001527446 0.0011889193 0.008914964 0.0034449056 0.0030304356 0.005531843 0.009694133 0.0012730147 0.0036362654 0.004707194 0.0024507784 0.0024134505 0.0010657797 0.0010704993 0.019542297 0.0008512508 0.0015038478 0.0011511622 0.0022667127 0.0013026197 0.00241817 0.0011155504 0.0011322837 0.0007667264 0.001046043 0.0010142928 0.0020950895 0.0011734732 0.00093577517 0.0017007854 0.0013588262 0.0011009625 0.0011854869 0.0008568285 0.0020200044 0.0010293098 0.0010597729 0.000882143 0.00165316 0.0014686651 0.0008688422 0.0011468716 0.014574237 0.003263843 0.0009147514 0.004375103 0.0026584426 0.0011979295 0.0010541951 0.00096538017 0.0028060384 0.0011739023 0.0010190124 0.0012957547 0.0019320475 0.001253278 0.0029188807 0.0019955481 0.0039340314 0.0021598772 0.0017076503 0.0015703518 0.0023911395 0.0021444312 0.0041743037 0.029415349 0.0035164836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004260388 4.2925825e-07 6.4388735e-07 7.2973903e-06 4.2925825e-07 6.4388735e-07 2.1462913e-07 4.2925825e-07 2.1462913e-07 4.2925825e-07 2.1462913e-07 6.4388735e-07 4.2925825e-07 4.2925825e-07 6.4388735e-07 4.2925825e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007615041 2.446772e-05 1.7599588e-05 2.1462913e-06 3.0048077e-05 8.799794e-06 6.4388735e-07 1.9316622e-06 7.082761e-06 2.1462913e-06 4.5072115e-06 1.2877747e-06 6.4388735e-07 2.1462913e-06 3.434066e-06 1.0731456e-05 0.0018861607 3.4555287e-05 2.5755495e-05 2.2536058e-05 2.5755495e-05 6.589114e-05 2.5326237e-05 3.39114e-05 1.4165522e-05 8.799794e-06 1.2448489e-05 6.4388737e-06 8.370535e-06 7.2973903e-06 7.2973903e-06 1.3092376e-05 0.00067565247 3.0262707e-05 3.5628433e-05 1.1589973e-05 3.155048e-05 1.5667925e-05 9.229052e-06 2.1033653e-05 3.0691965e-05 3.434066e-06 1.717033e-06 1.9316622e-06 2.1462913e-06 1.2877747e-06 2.3609202e-06 4.93647e-06 0.0012948575 4.915007e-05 4.2067306e-05 2.2536058e-05 3.7989354e-05 8.99296e-05 1.8028846e-05 3.5199177e-05 8.585165e-06 2.0819025e-05 7.082761e-06 1.0302198e-05 6.868132e-06 7.5120192e-06 5.365728e-06 0.00010194883 0.008568638 0.00023244334 0.00023265797 9.679773e-05 0.00025326238 0.00092247594 0.00046703298 0.00027451065 0.00010237809 0.00022836539 7.14715e-05 0.00023158483 0.00011976305 0.00015646462 0.00012319711 0.0011057692 0.0091696 0.00020389767 0.00077502575 0.00025562328 0.000573489 0.0011813187 0.0027416723 0.0014620536 0.000113753435 0.00012963598 0.00017556662 0.00018093234 0.00021699004 0.00035070398 0.00013650412 0.00079477165 0.033234674 0.0002498283 0.0063491585 0.01442973 0.0024860492 0.0028597184 0.013284255 0.0064936043 0.00046896463 0.0006473214 0.00015946943 0.0002747253 0.00022321429 0.00028245192 0.00028545674 0.00046917927 0.00677949 0.00022536058 0.0015674365 0.00094007555 0.0018902387 0.0014298592 0.004513436 0.0022862293 0.00013221154 0.00038203984 0.00012620192 0.00014315762 0.00015968406 0.00022836539 0.00038354224 0.0007906937 0.0071548764 0.0014704241 0.0017597441 0.014485964 0.0024781078 0.0018936727 0.0031743648 0.0021482229 0.0011924794 0.0012463513 0.00100983 0.0010351562 0.0010199175 0.0011536315 0.0014043184 0.001768544 0.012949004 0.0014150498 0.0019928315 0.0018792925 0.0031544042 0.002466518 0.0020894145 0.0016401957 0.004901485 0.0011858259 0.00065483345 0.0010797991 0.0028740985 0.0011439732 0.0023424623 0.0035055375 0.10294471 0.01916767 0.024890538 0.014593707 0.02206602 0.036634617 0.012031679 0.018824905 0.06814153 0.0057059154 0.004697802 0.008206989 0.039094478 0.007613968 0.01835916 0.029993346 0.048846796 0.01303507 0.015664063 0.010500086 0.014644789 0.022433035 0.008089157 0.013395218 0.036809754 0.0028522064 0.0025678228 0.0046115215 0.02158933 0.005455014 0.010885131 0.018291337 0.0056408825 0.005034555 0.005039277 0.005119334 0.0050847786 0.00515346 0.0053766742 0.0052766567 0.0050113755 0.005061169 0.0049864785 0.005112251 0.0049873367 0.0050656763 0.0051910197 0.0050568767 12568.0 11.131126 139896.0 0.050494652 0.0017227083 0.0028950076 0.001837079 0.029543376 0.010772288 0.0013581518 0.0028950076 0.0063618687 0.0025304512 0.0019157088 0.0031952308 0.007183908 0.004238863 0.006812203 0.0041173445 0.015647339 0.009700063 0.010543547 0.009342655 0.012695145 0.008520615 0.008055984 0.0070337965 0.010572139 0.01263796 0.010329101 0.0116944015 0.011379882 0.010386287 0.007884429 0.0087493565 0.010014582 0.0076342425 0.0026662664 0.007898725 0.014496483 0.007398353 0.0054469034 0.004453308 0.0059186826 0.006247498 0.001279522 0.0021087094 0.012795219 0.0034525648 0.005818608 0.0052396064 0.017791789 0.009957397 0.012359181 0.017384343 0.014417853 0.007934466 0.012194773 0.010436324 0.0044247154 0.0057113855 0.0019371533 0.0050680507 0.005518385 0.006411906 0.006283239 0.010093212 0.003545491 0.026412478 0.0069623147 0.016548008 0.020972723 0.046727568 0.009614285 0.009156802 0.014324927 0.026555441 0.0059401267 0.0038171213 0.022323726 0.011801624 0.02842826 0.029200263 0.014482187 0.0027305998 0.026298108 0.025890661 0.04200978 0.015883228 0.004839309 0.005689941 0.0061760163 0.0058686454 0.0020157832 0.0011294105 0.0051037916 0.0016154858 0.0016869674 0.0024089324 6.1166573 0.0 45.0 4.0 6.0 2330688.0 2347008.0 1.0 3.0 461.0 1.0 1.0 1.0 0.0 0.0 1542276900.0 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 9.0 0.0 5.0 0.0 5.0 0.0 1630208.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -77312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 371200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1630208.0 0.0 219136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.223092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0813246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3233776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6008863 0.0 7.925129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 371044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1629888.0 0.0 219012.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -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 1.0 0.0 1.0 2.0 -2.0 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 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -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 -1.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 3.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 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 -1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 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 -1.0 0.0 -1.0 -1.0 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 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 -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 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 -3.0 0.0 0.0 1.0 0.0 -1.0 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 -2.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 2005248.0 400.0 1994636.0 219012.0 2048000.0 0.0 0.0 13376.0 2317312.0 67140.0 2269184.0 28.0 1636528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1984.0 1634304.0 0.0 0.0 0.0 0.0