Input: 0.027836833 0.0039286627 0.0037717726 0.00378458 0.00411437 0.0037557634 0.0038133964 0.0037973872 0.0037909837 0.0037173412 0.0036853228 0.0037717726 0.0037557634 0.0036501025 0.0037397542 0.0037077356 0.003781378 0.003826204 0.003864626 0.0037557634 0.0037333504 0.0039830944 0.0038774335 0.0035700563 0.0037301485 0.0038998462 0.0036661117 0.0037141393 0.0039830944 0.0035956712 0.0036052766 0.0035892674 0.0035700563 0.0037685707 0.004011911 0.0037973872 0.0039414703 0.0037909837 0.0037685707 0.0037077356 0.0037941854 0.004005507 0.003682121 0.0036180841 0.0036853228 0.0036629098 0.0037269467 0.0037685707 0.0039574797 0.0036212858 0.0038101948 0.0039190575 0.003944672 0.0037877818 0.0037365523 0.0036917264 0.003496414 0.0036052766 0.003720543 0.003803791 0.0036148822 0.003678919 0.003474001 0.0036661117 0.0038133964 0.0037365523 0.0038678278 0.003557249 0.0037557634 0.0036212858 0.0038358094 0.0036469006 0.0038390113 0.0035188268 0.0038005891 0.0036533044 0.0038294056 0.003496414 0.0034611938 0.003762167 0.0039798925 0.0038742316 0.0036148822 0.0039959014 0.0037973872 0.0038454148 0.0037909837 0.0038005891 0.0037493596 0.0036981301 0.003474001 0.003598873 0.0037493596 0.0036340933 0.0036020747 0.0037077356 0.004107966 0.003781378 0.0038902408 0.0036693136 0.003803791 0.003864626 0.0037877818 0.003678919 0.003637295 0.003960681 0.0036629098 0.0038294056 0.0037461577 0.0037365523 0.0039286627 0.0038902408 0.0038390113 0.0037749745 0.0038486167 0.003883837 0.003960681 0.0039190575 0.003682121 0.0035092214 0.003909452 0.0037301485 0.0036116804 0.003557249 0.0037237448 0.0036404969 0.003826204 0.003720543 0.0038582224 0.0037077356 0.003682121 0.004463371 0.0036276896 0.003806993 0.0037461577 0.0035700563 0.0037941854 0.0037301485 0.0036693136 0.0040279203 0.0039830944 0.0038934427 0.0036853228 0.0040215165 0.0038518186 0.003967085 0.00390625 0.0037973872 0.003758965 0.0038005891 0.0038614243 0.003701332 0.003701332 0.0040183146 0.003806993 0.004008709 0.003960681 0.003970287 0.00390625 0.0037941854 0.003970287 0.003806993 0.0036148822 0.0034804046 0.0036949283 0.003944672 0.0038133964 0.004008709 0.0038998462 0.0036533044 0.0039414703 0.0040279203 0.0038486167 0.0040343236 0.0038101948 0.0037749745 0.0038358094 0.003659708 0.0036276896 0.0036981301 0.0038806351 0.003762167 0.0037173412 0.003960681 0.0037909837 0.0036949283 0.003963883 0.0040375255 0.0040311217 0.0039766906 0.0039190575 0.003909452 0.0039222594 0.0036469006 0.0038486167 0.0038422132 0.0041207736 0.0038518186 0.0037301485 0.003762167 0.004005507 0.00390625 0.004107966 0.0040247184 0.003947874 0.0038486167 0.0039158557 0.003883837 0.0037429559 0.0037301485 0.003887039 0.0035380379 0.003925461 0.0038198002 0.0037781761 0.0036661117 0.0037525615 0.003944672 0.0037429559 0.0038934427 0.0038806351 0.0036981301 0.003762167 0.00357646 0.0040631406 0.0036949283 0.0036661117 0.0034804046 0.0037749745 0.003659708 0.0038133964 0.0038358094 0.0038101948 0.0038774335 0.0038422132 0.003637295 0.004213627 0.0037141393 0.003864626 0.0036853228 0.003762167 0.0038005891 0.0036084785 0.0036084785 0.0038326075 0.0036757172 0.0038390113 0.0038165983 0.0037493596 0.0036020747 0.0039158557 0.0038678278 0.0038294056 0.00411437 0.0041784067 0.008744237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029634174 1.1243318e-05 9.63713e-06 8.030942e-06 3.2123767e-06 0.0 1.1243318e-05 6.4247533e-06 5.1398027e-05 5.782278e-05 2.0880449e-05 1.927426e-05 1.7668071e-05 2.4092826e-05 2.4092826e-05 6.1035156e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023755524 2.4092826e-05 1.6061884e-05 9.63713e-06 0.00015740645 7.0672286e-05 0.00038869758 0.00018792403 1.6061884e-05 6.4247533e-06 4.818565e-06 4.818565e-06 6.4247533e-06 4.818565e-06 3.2123767e-06 1.2849507e-05 0.0043704384 3.5336143e-05 2.4092826e-05 2.4092826e-05 8.030942e-06 3.2123767e-06 1.7668071e-05 2.0880449e-05 0.00011564556 0.00018953023 0.000247353 0.00021683543 0.00027305202 0.00023610968 0.00013491981 0.00066174957 0.0021956593 1.1243318e-05 1.1243318e-05 1.4455695e-05 2.4092826e-05 1.6061884e-05 3.2123768e-05 3.3729953e-05 9.3158924e-05 0.00013652601 0.00015740645 8.0309415e-05 9.3158924e-05 5.9428967e-05 3.5336143e-05 0.00029553866 0.0018455103 4.0154708e-05 0.00012528269 9.9583674e-05 3.6942332e-05 0.00021041067 5.1398027e-05 4.1760897e-05 0.00029393248 1.1243318e-05 2.2486636e-05 2.891139e-05 0.00013973839 9.63713e-06 0.00016704359 0.00016543739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002738551 0.00013010125 0.000247353 6.2641346e-05 0.00025699014 0.00012688887 0.0004818565 0.00025538393 9.1552734e-05 9.476511e-05 0.00020077355 0.00027144584 0.00030999436 0.00033569336 0.00025538393 0.00071957236 0.0029280812 0.00016543739 9.9583674e-05 8.6734166e-05 0.00012046412 8.0309415e-05 0.00011243318 0.00013491981 0.000383879 0.00063926296 0.00066817435 0.0007147538 0.0008223684 0.0005942897 0.00033408718 0.0019836426 0.0015580027 0.00023932206 0.000101189864 9.3158924e-05 7.2278475e-05 0.00011082699 0.00014134457 0.00025056538 0.0005428917 0.00096531917 0.0008962531 0.00094443874 0.00067620527 0.00053967925 0.00029072008 0.002446225 0.002157111 0.00039190994 0.00057501544 0.00043206467 0.00032605624 0.00059589586 0.00037745424 0.00033729954 0.00080630655 0.00041439658 0.00043527703 0.00047864413 0.0006376568 0.00035657382 0.0006167763 0.00092998304 0.059830517 0.05923462 0.05917519 0.05879131 0.058291785 0.058818616 0.05944503 0.058947112 0.05901457 0.05941933 0.058768824 0.05882986 0.059494823 0.05831106 0.058906958 0.05879934 912.0 5.993421 5466.0 0.009696305 0.010428101 0.009696305 0.010428101 0.008049762 0.010793999 0.009696305 0.010245152 0.010428101 0.010245152 0.0056714234 0.011525796 0.008232711 0.00640322 0.007683864 0.007866813 0.009147457 0.011342847 0.009513355 0.010428101 0.01061105 0.0071350164 0.009147457 0.008964508 0.009513355 0.01061105 0.01061105 0.009513355 0.00859861 0.010245152 0.010793999 0.01061105 0.009513355 0.011159898 0.008781559 0.009513355 0.013172338 0.010793999 0.011342847 0.012257593 0.008964508 0.01061105 0.009513355 0.009147457 0.009513355 0.008964508 0.009330406 0.01061105 0.011891694 0.010428101 0.008232711 0.01500183 0.010428101 0.011525796 0.009879254 0.010245152 0.009147457 0.008964508 0.011525796 0.007866813 0.008232711 0.008781559 0.010793999 0.01061105 0.010793999 0.016099524 0.009696305 0.010793999 0.013904135 0.022502745 0.013538237 0.009696305 0.010428101 0.015550677 0.009879254 0.0071350164 0.014818881 0.00859861 0.014452982 0.01280644 0.012440542 0.009696305 0.015367728 0.012440542 0.020307355 0.010062203 0.009879254 0.011159898 0.009513355 0.008415661 0.009330406 0.006586169 0.007683864 0.010245152 0.009147457 0.00640322 6.545785 0.0 0.0 0.0 3.0 312320.0 323584.0 0.0 0.0 42.0 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 -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 1.0 1.0 4.0 0.0 4.0 0.0 3584.0 1024.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 305664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9268947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.075811 0.0 7.973738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1146.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3420.0 0.0 305394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 4.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8372.0 305394.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 5724.0 0.0 0.0 180.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.4840385 0.0021949406 0.001467803 0.0010112283 0.0011194535 0.0007119183 0.0016927083 0.0008184524 0.0007305195 0.0008979302 0.0014170725 0.00043459146 0.00056987285 0.00052928843 0.00038555195 0.00057156384 0.0003703328 0.0012344427 0.0010213745 0.000684862 0.00029761906 0.0005461986 0.0005140693 0.00041599025 0.00035511365 0.00021306818 0.00020123106 0.00019954004 0.00029592804 0.00024012446 0.00027563583 0.00033482144 0.0015050054 0.00020292208 0.00024857954 0.00018093885 0.00019784903 0.00027901787 0.00023674243 0.00018262987 0.000782941 0.00013359037 0.00038386093 0.00045488364 0.00031452923 0.00036695076 0.00034834957 0.00022152327 0.00079646916 0.00036864178 0.0001758658 0.00028578192 0.00018939393 0.00022997835 0.00020292208 0.00031960226 0.00040246212 0.00035511365 0.0020292208 0.003031994 0.14069772 0.0012564259 0.00030945617 0.0012293695 0.0006375135 0.0002451975 0.0002722538 0.00029085498 0.00031960226 0.00025196158 0.00019615801 0.00019954004 0.0002046131 0.0002654897 0.00013528139 0.00017755682 0.00031622025 0.00021983225 0.00020968614 0.00023336039 0.00037709685 0.00018770293 0.00023843344 0.00029761906 0.00030607413 0.00030945617 0.00023336039 0.00015388257 0.00034834957 0.00018601191 0.00013020834 0.00016064664 0.00025027056 0.00016233766 0.0001268263 0.0005191423 0.0009858632 0.0008133793 0.00035511365 0.0004684118 0.0005546537 0.0014492018 0.00024181548 0.00028239988 0.00028916396 0.0008725649 0.00014711851 0.00032467532 0.00064089557 0.00046672078 0.0006747159 0.0012513528 0.0006222944 0.0001758658 0.00073728355 0.00090300327 0.0011532739 0.0003821699 0.00031791127 0.00023505141 0.00021983225 0.0003128382 0.00014542749 0.00036356872 0.00018770293 0.0002147592 0.00020630412 0.00036695076 0.0013105384 0.0003821699 9.977002e-05 0.0003314394 0.00015895563 0.00018093885 0.00023336039 0.00013020834 0.00016064664 0.0001657197 5.7494588e-05 0.00019108495 0.00021137716 0.00013359037 0.00018093885 0.00014204545 0.0006628788 0.00019954004 8.285985e-05 0.00011329816 0.00013359037 0.00010653409 0.0001555736 0.00018939393 0.00012513528 0.00017079274 0.00016741072 9.1314934e-05 0.00015388257 9.807901e-05 0.0003314394 0.00015219155 0.00024012446 9.1314934e-05 0.00016741072 4.7348483e-05 0.000118371216 0.00015895563 9.469697e-05 0.00010146104 0.00018093885 7.947782e-05 0.00010991612 8.9623914e-05 0.00014711851 0.000116680196 0.00015388257 8.455087e-05 0.00047179384 0.00015895563 0.00018432089 7.1022725e-05 0.00022321429 0.00014542749 8.455087e-05 0.000116680196 0.00012175325 0.000118371216 0.00010146104 0.00018262987 0.00012851732 0.00014035443 0.00010484307 0.00014880953 0.00060031115 0.00015388257 0.00017417478 0.00016064664 0.00014542749 0.00017417478 0.00012513528 0.00016402868 0.00014542749 0.00014711851 0.0001758658 0.00038555195 0.00015726461 0.00014035443 0.00012175325 0.00012175325 0.00041599025 8.455087e-05 0.00010991612 0.00015219155 0.00013528139 0.00015050053 0.00019108495 0.00019277597 0.00013189935 0.00010484307 0.00025534362 0.000118371216 0.00012851732 0.00010484307 0.00012006223 0.0002435065 0.0004785579 0.00028239988 0.00028239988 0.00015219155 0.0005309794 0.002330222 0.0025720373 0.14156859 0.00039738906 0.00029931008 0.00017924783 0.00025027056 0.00014035443 0.00020968614 0.00012006223 0.00018601191 0.00079139613 0.00012851732 0.0001758658 0.00021137716 0.00015050053 0.00012344426 0.00029761906 0.00023505141 0.00030607413 0.00020799512 0.00020968614 0.0001758658 0.00033651246 0.0002435065 0.00059862016 0.14036965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034350924 8.477105e-07 1.3563368e-05 0.0018598768 2.8822156e-05 0.0 8.477105e-06 0.0 0.0 7.6293945e-06 0.0 0.0 0.0 0.0 0.0018598768 0.0018005371 0.0042478773 5.9339736e-06 1.0172526e-05 0.00032212998 1.695421e-06 4.2385524e-05 0.0 1.695421e-06 3.390842e-06 3.390842e-06 0.0 5.086263e-06 1.695421e-06 4.2385527e-06 0.00032467314 0.0002339681 0.07963732 8.138021e-05 8.477105e-05 0.010650635 5.340576e-05 8.646647e-05 0.00011444092 0.00012291802 0.0001542833 0.00015852187 1.780192e-05 8.561876e-05 9.1552734e-05 7.459852e-05 0.010562473 0.01087104 0.10723877 7.459852e-05 0.00028567843 0.024060568 0.00015174018 0.00013478597 0.0002653334 0.0001458062 8.646647e-05 0.00018649631 7.8837074e-05 0.00013478597 0.000121222605 7.035997e-05 0.024021573 0.023498535 0.18173303 0.00048489042 0.0007841322 0.07284885 0.00084940594 0.00054423016 0.003054301 0.0017123752 0.0002975464 0.00036790635 5.9339734e-05 0.00033823648 0.00038401285 0.00039079454 0.07254791 0.06985304 0.06387159 0.00057474774 0.00060865615 0.037828233 0.0003077189 0.0002653334 0.0005552504 0.0004374186 0.00030348037 0.00013224284 0.00012207031 0.00012630886 0.0002983941 0.00033738877 0.03772227 0.035328336 0.015704684 0.0029873317 0.0018810696 0.001759847 0.000767178 0.00080447725 0.0027508205 0.001739502 0.0010223389 0.0004594591 0.00024074978 0.00018225776 0.0002500746 0.000283983 0.0011011759 0.001051161 0.0055881077 0.0010206434 0.00048573813 0.00060696073 0.0004213121 0.00045861138 0.0011138916 0.0006188287 0.0004916721 0.00022040473 0.00014665391 0.00015089248 0.0002755059 0.00014665391 0.00021362305 0.000193278 0.0021820068 0.0001373291 9.918213e-05 0.000579834 0.00012291802 0.00019073486 0.00026024712 0.00015597873 0.00016869439 6.781684e-05 9.1552734e-05 7.8837074e-05 0.0001449585 7.120768e-05 0.0004526774 0.0004043579 0.00057898625 0.00029585097 0.00012207031 8.392334e-05 5.086263e-05 4.4080945e-05 9.070503e-05 8.307563e-05 0.0001373291 4.747179e-05 2.7974447e-05 4.1537816e-05 3.390842e-05 1.9497342e-05 4.4080945e-05 3.475613e-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 0.00045776367 8.9009605e-05 8.9009605e-05 7.798937e-05 7.968479e-05 7.459852e-05 8.392334e-05 9.1552734e-05 9.6639e-05 9.070503e-05 7.6293945e-05 8.985731e-05 9.833442e-05 5.9339734e-05 9.070503e-05 9.070503e-05 0.00272878 0.0014207629 0.0013275146 0.0014487372 0.0013173422 0.0013300577 0.0012334188 0.0012791952 0.0013173422 0.0011978149 0.0011249118 0.001268175 0.0013944837 0.0011817084 0.0014250013 0.0015741984 544.0 14.104779 7673.0 0.030887527 0.0015639254 0.0049524307 0.0007819627 0.00013032713 0.0005213085 0.00026065425 0.0007819627 0.00026065425 0.00026065425 0.00039098135 0.001042617 0.00039098135 0.008471263 0.010426169 0.0028671967 0.008210609 0.0076893 0.0050827577 0.0036491593 0.0040401407 0.0028671967 0.0026065423 0.0014335983 0.0024762154 0.005473739 0.0015639254 0.00026065425 0.011729441 0.003258178 0.012250749 0.00039098135 0.0005213085 0.009904861 0.010295843 0.010426169 0.009644207 0.0062557016 0.0058647203 0.0062557016 0.002215561 0.011208133 0.001042617 0.0040401407 0.003258178 0.006516356 0.0027368695 0.0061253747 0.0058647203 0.0007819627 0.0076893 0.012772058 0.010295843 0.0031278508 0.0026065423 0.004431122 0.0018245797 0.0007819627 0.0005213085 0.0007819627 0.0023458882 0.00026065425 0.0007819627 0.0321908 0.0031278508 0.048221033 0.015639255 0.023589209 0.025935097 0.09448716 0.010426169 0.013423693 0.0087319175 0.047830053 0.00091228983 0.009774534 0.033233415 0.023589209 0.039489117 0.04522351 0.01902776 0.0023458882 0.041704677 0.044441547 0.07259221 0.019809723 0.0067770104 0.0059950477 0.0048221033 0.013293366 0.0023458882 0.00091228983 0.00039098135 0.0007819627 0.0005213085 0.00026065425 5.458673 1.0 1.0 0.0 3.0 591360.0 614400.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541747200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 439808.0 512.0 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 -439808.0 0.0 150528.0 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 -2.6704898 0.0 2.8057659 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 -439756.0 0.0 150472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 447860.0 150472.0 450560.0 0.0 0.0 0.0 0.0 12.0 606208.0 28.0 447548.0 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: 0.41933593 0.02470703 0.012402344 0.009375 0.006640625 0.0033203126 0.0044921874 0.0026367188 0.0021484375 0.0008789062 0.010253906 0.0013671875 0.0010742188 0.00068359374 0.0025390624 0.00078125 0.0015625 0.0017578125 0.0026367188 0.0014648438 0.0009765625 0.00078125 0.0014648438 0.00068359374 0.00078125 0.0022460937 0.00029296876 0.00068359374 0.00068359374 0.00068359374 0.0008789062 0.0010742188 0.0126953125 0.0034179688 0.0008789062 0.00078125 0.0010742188 0.0010742188 0.0030273437 0.00048828125 0.0013671875 0.0009765625 0.0013671875 9.765625e-05 0.0005859375 0.0005859375 0.019140625 0.00048828125 0.0068359375 0.001953125 0.0013671875 0.00078125 0.0009765625 0.00048828125 0.0005859375 0.0008789062 0.0056640627 0.0008789062 0.00068359374 0.000390625 0.00048828125 0.000390625 0.0008789062 0.0009765625 0.0010742188 0.0053710938 0.004003906 0.0022460937 0.0025390624 0.0065429686 0.0015625 0.0009765625 0.001171875 0.0078125 0.000390625 9.765625e-05 0.001171875 0.0022460937 0.0022460937 0.0008789062 0.0052734376 0.0 0.0034179688 0.003515625 0.0038085938 0.00859375 0.0022460937 0.0032226562 0.00029296876 0.0008789062 0.00029296876 0.0001953125 0.00029296876 9.765625e-05 0.00078125 0.0021484375 0.0005859375 0.014550781 0.0037109375 0.004296875 0.011425781 0.039160155 0.001953125 0.011914062 0.00234375 0.029589843 0.0015625 0.001171875 0.0125 0.0056640627 0.0375 0.018847656 0.008203125 0.001953125 0.024121094 0.011914062 0.031152343 0.00859375 0.0017578125 0.002734375 0.0009765625 0.0107421875 0.00029296876 0.00234375 9.765625e-05 0.00078125 0.00029296876 9.765625e-05 0.0005859375 0.000390625 9.765625e-05 9.765625e-05 0.000390625 9.765625e-05 0.0009765625 0.0001953125 0.0 0.00029296876 0.0 9.765625e-05 0.00029296876 9.765625e-05 0.0 0.00029296876 0.00048828125 0.000390625 0.0001953125 9.765625e-05 9.765625e-05 0.0001953125 9.765625e-05 0.00029296876 9.765625e-05 0.00029296876 0.00029296876 9.765625e-05 0.0 0.00029296876 9.765625e-05 0.0 0.000390625 9.765625e-05 0.000390625 0.0001953125 0.00029296876 0.00029296876 9.765625e-05 0.0 9.765625e-05 9.765625e-05 0.0001953125 0.0 0.0001953125 9.765625e-05 0.000390625 9.765625e-05 0.00029296876 0.0001953125 9.765625e-05 0.0001953125 9.765625e-05 0.0 0.0001953125 9.765625e-05 0.000390625 0.0 0.000390625 0.005566406 0.0005859375 0.0001953125 0.0001953125 0.0 0.00029296876 9.765625e-05 0.00029296876 9.765625e-05 0.000390625 9.765625e-05 0.00048828125 0.0 0.00029296876 9.765625e-05 0.0 0.0001953125 0.0 0.00029296876 0.00029296876 0.0 9.765625e-05 0.0001953125 0.00029296876 9.765625e-05 9.765625e-05 0.0 0.0001953125 0.0 0.00029296876 9.765625e-05 9.765625e-05 0.00029296876 0.00029296876 9.765625e-05 0.0 0.0 0.0001953125 9.765625e-05 0.0 9.765625e-05 0.0005859375 0.0 9.765625e-05 0.0001953125 9.765625e-05 9.765625e-05 9.765625e-05 9.765625e-05 9.765625e-05 0.0 0.0001953125 9.765625e-05 0.0001953125 0.0 0.000390625 0.0 0.000390625 0.0 9.765625e-05 0.0 9.765625e-05 9.765625e-05 0.0001953125 9.765625e-05 9.765625e-05 0.0001953125 0.0001953125 0.00068359374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08734809 0.00027126737 0.0016276041 0.0011393229 0.0021158855 0.0022243923 0.011013455 0.0047743055 0.000108506945 5.4253473e-05 0.000108506945 0.000108506945 5.4253473e-05 0.0 5.4253473e-05 0.000108506945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07779948 0.0030381945 0.004123264 0.0052083335 0.001844618 0.0011935764 0.0045572915 0.0077582467 0.00081380206 0.0007052951 0.0007595486 0.00086805556 0.0007052951 0.00054253475 0.00032552084 0.00086805556 0.049099393 0.001844618 0.0056966147 0.0005967882 0.0038519965 0.0038519965 0.029405382 0.016167535 0.000108506945 0.000108506945 0.0 0.000108506945 0.00016276042 0.0 5.4253473e-05 5.4253473e-05 0.15196398 0.0067274305 0.015407986 0.008843316 0.013400608 0.012749566 0.07009549 0.040256076 0.0017903646 0.0014648438 0.0015733507 0.0042860243 0.0012478299 0.0011935764 0.001030816 0.0013020834 0.10194227 0.007595486 0.023491753 0.009928386 0.02202691 0.017523872 0.0967882 0.044596355 0.0011935764 0.000922309 0.0007595486 0.0037434895 0.00086805556 0.0006510417 0.0007595486 0.00054253475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 127.0 22.228346 2823.0 0.0028338647 0.008855827 0.00070846616 0.0010626992 0.0017711654 0.00035423308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042862203 0.0 0.016648956 0.005313496 0.003896564 0.0014169323 0.0021253985 0.0014169323 0.0010626992 0.0017711654 0.00070846616 0.00070846616 0.0 0.0 0.00035423308 0.0 0.00035423308 0.0 0.00035423308 0.016648956 0.012043925 0.00460503 0.0070846616 0.01948282 0.0017711654 0.0014169323 0.0024796317 0.024796316 0.00035423308 0.0 0.00035423308 0.004250797 0.0021253985 0.00070846616 0.012043925 0.0 0.0067304284 0.008147361 0.007793128 0.026921714 0.00070846616 0.0070846616 0.0 0.00035423308 0.0 0.0 0.0 0.0 0.00035423308 0.00460503 0.00035423308 0.031172512 0.008855827 0.008501594 0.02621325 0.09989373 0.0024796317 0.03896564 0.0021253985 0.08359901 0.0 0.0035423308 0.031172512 0.013106625 0.11158342 0.032589443 0.0070846616 0.0021253985 0.052072264 0.03329791 0.08182784 0.019837053 0.004250797 0.00460503 0.0017711654 0.031172512 0.00035423308 0.0 0.0 0.0 0.0 0.0 4.8480396 0.0 0.0 0.0 1.0 10240.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 8192.0 512.0 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 -8192.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.071394 0.0 2.7273731 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 -7876.0 0.0 1024.0 0.0 0.0 0.0 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 83.0 15976.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.41372967 0.0031883472 0.002632961 0.0025548749 0.0029599457 0.0023152486 0.0022518039 0.00225278 0.0033581841 0.0021312586 0.0021610288 0.0021141772 0.0028896683 0.0022464353 0.0020785506 0.0033845382 0.0027496018 0.0021312586 0.0020482922 0.0020107133 0.0023943107 0.0023489231 0.0020814787 0.0020517085 0.002241555 0.002057565 0.0020014406 0.0020390195 0.0021268663 0.0020097373 0.0020409718 0.002031699 0.002529497 0.0019848475 0.0020438998 0.0020234024 0.0023782055 0.002017546 0.0020409718 0.0019867995 0.0021571245 0.0019843595 0.001978991 0.0022112967 0.0021195456 0.0022835261 0.0020765983 0.001968742 0.0023811336 0.0021444357 0.0022469235 0.002911142 0.0022947511 0.0021444357 0.0021468757 0.0021717658 0.0023767413 0.00228011 0.0022205694 0.0025382817 0.002229354 0.002333306 0.0021327226 0.0027310564 0.002752042 0.0022454592 0.0034162607 0.0027095827 0.0021927513 0.004239091 0.002162493 0.0020673256 0.0021849426 0.0020082733 0.0020561009 0.0019999766 0.002163469 0.003476289 0.0021214979 0.002006321 0.0027862045 0.002397727 0.002122474 0.0021995837 0.0021815265 0.003278634 0.0023669805 0.0022845024 0.0021410193 0.0025543869 0.0019711824 0.002097096 0.002071718 0.0025641476 0.0022444832 0.002582205 0.002123938 0.0023962627 0.00207123 0.002200072 0.00241188 0.0026056308 0.0025797647 0.0020765983 0.0024040714 0.0023376984 0.0025192483 0.0021307706 0.0022781577 0.0021302826 0.0022908468 0.002385526 0.0023962627 0.0020151057 0.0024845975 0.0024714204 0.0033196292 0.0031878592 0.0020512205 0.002069766 0.0021620048 0.0020595172 0.002018522 0.002031211 0.0020902634 0.0021610288 0.0020912394 0.0021258902 0.0026046548 0.0022234977 0.0020521965 0.0035670642 0.002253268 0.0029726347 0.0019819192 0.0019750868 0.002306952 0.0034533516 0.002134675 0.0067973826 0.0021102729 0.002975563 0.0019599574 0.0019809431 0.0021141772 0.002005833 0.0020121776 0.0020526845 0.0020360914 0.0020092493 0.001952637 0.0019702064 0.0020414598 0.0019580054 0.0019594694 0.0019633737 0.00201901 0.001992656 0.0019955842 0.002031211 0.0020770864 0.0021419954 0.0019755748 0.0020492682 0.002058541 0.0020214503 0.002017058 0.0019887518 0.002071718 0.001978991 0.0019482446 0.001979967 0.0019941202 0.001978991 0.0019745987 0.0019555653 0.0021078328 0.0019863115 0.0019848475 0.0019882636 0.0019960722 0.0020009526 0.0023406267 0.002033651 0.002216177 0.0020478042 0.0020521965 0.0019994886 0.0020800147 0.0021005122 0.0020087613 0.0020634213 0.0030243667 0.0024431143 0.0022366745 0.0025905017 0.0023308657 0.0020521965 0.0022400909 0.0025929417 0.0023303777 0.0023386744 0.0020517085 0.0020243784 0.0041244025 0.0019970483 0.0020346271 0.002032187 0.0022108087 0.0021454117 0.0020995361 0.0020536606 0.0020765983 0.0019897278 0.0020604932 0.0020102253 0.0022708373 0.0021053925 0.0019872875 0.0020907514 0.0020941678 0.0020887994 0.0019780148 0.0020243784 0.0023372103 0.0020907514 0.0020341391 0.0020341391 0.002188359 0.002268397 0.00201657 0.0019692301 0.003890633 0.0023611241 0.0019785028 0.002529009 0.0030082616 0.0019487326 0.0020224263 0.0020463401 0.0027759557 0.0020604932 0.0020736703 0.0020302348 0.0024450666 0.0020107133 0.0022396029 0.002268397 0.0026817645 0.0020751343 0.0020590292 0.0020302348 0.0028589221 0.0022186174 0.0024055354 0.0076236296 0.387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004465332 4.6386717e-06 3.1738282e-06 2.6855469e-06 3.90625e-06 2.4414062e-06 3.1738282e-06 6.8359377e-06 3.4179689e-06 6.591797e-06 1.4648438e-06 9.765625e-07 1.953125e-06 1.4648438e-06 6.591797e-06 4.150391e-06 0.00042651367 8.544922e-06 3.90625e-06 2.9296875e-06 4.394531e-06 2.6855469e-06 3.4179689e-06 1.1474609e-05 9.521485e-06 6.8359377e-06 1.953125e-06 1.4648438e-06 2.4414062e-06 1.953125e-06 7.3242186e-06 4.6386717e-06 0.0016293945 4.0771483e-05 2.7832031e-05 1.0986329e-05 3.808594e-05 2.8320312e-05 5.2001953e-05 2.4658204e-05 2.4658204e-05 1.586914e-05 1.6601563e-05 1.7333985e-05 2.5634765e-05 1.2207031e-05 1.171875e-05 2.392578e-05 0.00036914062 7.080078e-06 1.3671875e-05 4.6386717e-06 1.6601563e-05 1.4404297e-05 2.8564453e-05 1.4892578e-05 7.3242186e-06 7.324219e-07 3.4179689e-06 3.1738282e-06 1.7089844e-06 2.9296875e-06 1.4648438e-06 1.0253906e-05 0.0036252441 4.1748048e-05 0.00021582031 2.9052735e-05 0.000453125 7.983398e-05 0.0006447754 0.00031933593 2.9296874e-05 5.029297e-05 1.4648437e-05 2.392578e-05 2.6855469e-05 3.6376954e-05 1.7578124e-05 0.00039208983 0.0017661133 5.6396486e-05 0.00014282226 6.884766e-05 0.0002734375 0.00014575195 0.0004716797 0.0002836914 3.442383e-05 3.540039e-05 1.0253906e-05 1.1230469e-05 1.4404297e-05 1.0742187e-05 7.3242186e-06 0.00016748047 0.0028269044 9.448242e-05 0.00020214844 8.3496096e-05 0.0005280762 0.00020800781 0.0005993652 0.0003664551 4.56543e-05 4.321289e-05 0.00014550782 6.1035156e-05 4.0283205e-05 4.9560545e-05 4.199219e-05 0.00016381836 0.0027543944 0.00014453125 0.00023828125 0.0001628418 0.0006550293 0.00014624023 0.00089672854 0.0005522461 0.000102050784 6.323242e-05 0.00024316406 0.0001977539 6.494141e-05 0.00011767578 8.0322265e-05 8.056641e-05 0.0018239747 0.00023974609 0.00028857423 0.002564453 0.0005759277 0.0005090332 0.0008024902 0.000527832 0.0004831543 0.00018530274 0.00020043945 0.00020654297 0.00077954103 0.00020239258 0.00030371093 0.00030688476 0.0031794433 0.0004440918 0.0001940918 0.00064135744 0.0013928222 0.0007751465 0.0002541504 0.00031933593 0.0019401856 0.00013232422 0.00014453125 0.00029956055 0.0012905273 0.0001977539 0.00078637694 0.0015083008 0.009854737 0.0014101563 0.0008520508 0.0014125976 0.0034335938 0.0031328124 0.0014077148 0.0019865723 0.006548584 0.0004206543 0.0005024414 0.0008500977 0.0035705566 0.0009628906 0.0029626465 0.0051918947 0.005674072 0.0011774902 0.0009382324 0.0013913574 0.0017167969 0.0020578613 0.0009768066 0.0015788574 0.0034006347 0.0003676758 0.00039746094 0.00072949217 0.0018718261 0.00090356445 0.0016584473 0.0031594238 0.030843506 0.030700684 0.03066919 0.03083667 0.03071631 0.030753173 0.030802002 0.030745117 0.030726073 0.030795654 0.030537598 0.030613769 0.03076416 0.030787598 0.030849854 0.030858643 17289.0 6.731043 116373.0 0.0110334875 0.007974358 0.009521109 0.009332062 0.011196755 0.009280503 0.010071064 0.009899204 0.009959355 0.009211759 0.008945374 0.00969297 0.010088251 0.009409399 0.010294484 0.009332062 0.01106786 0.010122623 0.010535089 0.010406194 0.0108788125 0.010053879 0.009959355 0.009933576 0.010810068 0.010440566 0.010457752 0.0110592665 0.011007708 0.010526497 0.010440566 0.0111108245 0.013946534 0.010492125 0.009675784 0.01042338 0.010449159 0.009813272 0.009589854 0.009538295 0.010431973 0.009839052 0.009108642 0.009357841 0.009976541 0.009641412 0.009538295 0.009177387 0.010913184 0.009460958 0.009246131 0.010191367 0.010294484 0.010363229 0.010088251 0.010148402 0.010268705 0.009813272 0.008842257 0.009254724 0.009409399 0.009237538 0.009151608 0.010535089 0.010105437 0.0136973355 0.010535089 0.012339632 0.011824048 0.016515858 0.010260112 0.010225739 0.010749917 0.013619998 0.009426585 0.009821866 0.012717727 0.010655393 0.012709133 0.014539455 0.010921777 0.009417992 0.014410559 0.013731708 0.015742483 0.010801475 0.009856238 0.009993727 0.010715544 0.010440566 0.0091602 0.009615633 0.009744529 0.0089110015 0.008163406 0.0063588633 6.5700235 0.0 0.0 0.0 23.0 2049024.0 2072576.0 1.0 0.0 76.0 1.0 1.0 0.0 1.0 0.0 1534858000.0 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 0.0 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 14.0 0.0 5.0 1.0 5.0 1.0 154624.0 1024.0 4096.0 8.0 0.0 0.0 3.0 3.0 0.0 0.0 -512.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 -1812992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155136.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.5826745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.463362 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.973121 0.0 0.0 0.0 0.0 0.0 0.0 -5.4439325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.357518 0.0 3.78898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -10468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64638.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 265.0 0.0 0.0 0.0 0.0 0.0 0.0 -1816724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154781.0 0.0 2984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 226724.0 2984.0 2056192.0 0.0 0.0 0.0 0.0 10468.0 2060288.0 28.0 214080.0 0.0 0.0 0.0 0.0 24.0 214204.0 64.0 214112.0 0.0 0.0 308.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.18563603 0.0038008946 0.00320118 0.002723029 0.0034118905 0.0031444503 0.0032173884 0.0029013227 0.00320118 0.0032822224 0.0031525544 0.0028689057 0.0032741183 0.0031120332 0.0032822224 0.0032498054 0.0040602307 0.003168763 0.0030390949 0.0030228863 0.0031930758 0.0033875778 0.003136346 0.0032254928 0.0032903268 0.0032173884 0.0029580523 0.0028689057 0.0032417013 0.0033227438 0.003460516 0.0030553034 0.0034199948 0.0032254928 0.0031201374 0.0029823652 0.0029904693 0.0030147822 0.003298431 0.003266014 0.0030958247 0.0030715119 0.0027311333 0.003136346 0.0029256353 0.0028608013 0.003460516 0.0034118905 0.0033794735 0.0034199948 0.0031930758 0.0029418438 0.003363265 0.0031039289 0.0031849714 0.0034767245 0.0034767245 0.0031849714 0.0027716546 0.0030796162 0.00358208 0.0030471992 0.0029823652 0.003395682 0.003395682 0.0031039289 0.0029904693 0.0032173884 0.0029013227 0.003590184 0.0031201374 0.003233597 0.0032417013 0.0029985737 0.0030877204 0.0031849714 0.0030715119 0.003395682 0.0030958247 0.0028932183 0.0031768673 0.003266014 0.0030066778 0.0032173884 0.0031444503 0.0033713693 0.0029418438 0.0028689057 0.0029094268 0.0032498054 0.0028526972 0.0031768673 0.0031444503 0.0030715119 0.0032092843 0.0031282417 0.0031525544 0.0033551608 0.0030390949 0.0030390949 0.0033065353 0.0036307054 0.0031930758 0.0032092843 0.0032822224 0.0035415585 0.0032173884 0.003330848 0.00320118 0.0032254928 0.0031849714 0.0031282417 0.0032417013 0.0032173884 0.0032822224 0.0033389523 0.0034524119 0.0030634077 0.0030471992 0.0033551608 0.0032417013 0.0033065353 0.0032741183 0.0031606588 0.003266014 0.003233597 0.003168763 0.0028121758 0.0029256353 0.0032822224 0.0031039289 0.0037279564 0.0029742608 0.0031039289 0.0034199948 0.0030958247 0.0031525544 0.00352535 0.003395682 0.003687435 0.003168763 0.003395682 0.0031606588 0.0030309907 0.0035982884 0.0032417013 0.003428099 0.0030553034 0.0031039289 0.003590184 0.0032092843 0.0036307054 0.003136346 0.0031282417 0.0030634077 0.0032579098 0.003492933 0.0030390949 0.0032741183 0.0031606588 0.0031120332 0.0032417013 0.0029256353 0.0029823652 0.0030715119 0.0030634077 0.0030066778 0.0031282417 0.0031606588 0.0029904693 0.0031039289 0.0031930758 0.0034199948 0.0029175312 0.0033227438 0.0032092843 0.0033146394 0.0030066778 0.003136346 0.0032254928 0.0032903268 0.003395682 0.0031201374 0.00320118 0.0029742608 0.0030309907 0.003428099 0.0029094268 0.0031120332 0.00320118 0.0029175312 0.0030147822 0.0029661567 0.0032741183 0.0031039289 0.0030147822 0.0031606588 0.0033146394 0.0034524119 0.0034686204 0.0031525544 0.003330848 0.0029418438 0.0032254928 0.0032579098 0.0032903268 0.0028770098 0.0030796162 0.0029337397 0.0033551608 0.0030877204 0.0034524119 0.0030390949 0.0028770098 0.0033065353 0.0029742608 0.0032417013 0.0030715119 0.002723029 0.0032092843 0.003266014 0.00320118 0.0034848289 0.0031282417 0.003363265 0.0031849714 0.0028689057 0.0031606588 0.0030877204 0.0030309907 0.0031606588 0.003298431 0.0031849714 0.003363265 0.0031282417 0.0034199948 0.0033551608 0.0033065353 0.0033065353 0.0028932183 0.0032417013 0.0029256353 0.0030715119 0.0030715119 0.0031120332 0.0034362033 0.0034443075 0.0033065353 0.0037279564 0.003233597 0.0030877204 0.0030471992 0.003395682 0.0032741183 0.0029337397 0.004165586 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008198201 8.206408e-06 8.206408e-06 1.6412816e-05 2.8722427e-05 1.23096115e-05 1.6412816e-05 8.206408e-06 1.23096115e-05 1.23096115e-05 1.6412816e-05 4.103204e-06 2.051602e-05 2.051602e-05 1.23096115e-05 8.206408e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059701614 0.00015592175 3.6928835e-05 5.334165e-05 0.000221573 0.00018054097 6.154806e-05 4.9238446e-05 0.00059496454 3.2825632e-05 5.7444853e-05 6.975447e-05 0.000114889706 8.206408e-06 0.00016002495 0.0006359966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00804228 0.0006483062 0.00027081146 0.00046776523 0.00061137736 0.0006072742 0.0007385767 0.0005211069 0.0010627297 0.00036518514 0.00035287553 0.00039801077 0.0004390428 0.00029543068 0.00056624215 0.0014197085 0.0039144563 0.00027901787 0.00029543068 0.00034056592 0.00034466913 0.00033646272 0.00038980437 0.0003118435 0.00025029544 0.0003200499 0.00017233456 0.00023798582 0.00028722428 0.0003036371 0.0002995339 0.0003200499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049685694 0.05088383 0.049927782 0.051027443 0.049759552 0.049045596 0.050965894 0.050965894 0.050658155 0.052246094 0.049845718 0.050096016 0.05057609 0.05028066 0.050555576 0.050202698 464.0 5.885776 2731.0 0.015378982 0.0073233247 0.00878799 0.006224826 0.0069571584 0.009886488 0.009520322 0.009154156 0.009886488 0.00878799 0.008055657 0.009154156 0.009154156 0.009886488 0.014280483 0.009886488 0.009886488 0.009520322 0.007689491 0.0073233247 0.00878799 0.010618821 0.010984987 0.011351153 0.013548151 0.008421823 0.010984987 0.010984987 0.008421823 0.009520322 0.010252655 0.0117173195 0.010984987 0.012449652 0.0069571584 0.012083486 0.006590992 0.013181984 0.009154156 0.013181984 0.012815818 0.011351153 0.010984987 0.00878799 0.012449652 0.0073233247 0.010618821 0.008421823 0.009886488 0.009154156 0.010984987 0.012449652 0.0117173195 0.009520322 0.010618821 0.0117173195 0.006224826 0.009520322 0.009154156 0.0117173195 0.006590992 0.007689491 0.012815818 0.0117173195 0.009886488 0.015378982 0.009520322 0.012449652 0.010984987 0.020139143 0.009154156 0.0069571584 0.010984987 0.015012816 0.009154156 0.010252655 0.013181984 0.009154156 0.010984987 0.012083486 0.013181984 0.011351153 0.013914317 0.010618821 0.01647748 0.009886488 0.00878799 0.010618821 0.010252655 0.008055657 0.008055657 0.008055657 0.013181984 0.011351153 0.00878799 0.010984987 6.548829 0.0 0.0 0.0 4.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -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 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 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 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.248459 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 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 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.21755537 0.005764563 0.006560983 0.0074901395 0.012306584 0.004057949 0.0053853155 0.0008153823 0.014904429 0.000701608 0.00064472086 0.00058783375 0.0043423846 0.0017255765 0.00064472086 0.002351335 0.041736197 0.00068264565 0.00032236043 0.00054990896 0.0014221783 0.0055939015 0.00049302186 0.00041717233 0.0018962378 0.0013842536 0.00054990896 0.00039820996 0.00083434465 0.00073953276 0.0004361347 0.0004550971 0.0029202064 0.0005119842 0.0012704794 0.0004361347 0.0030908678 0.0046837074 0.0005309466 0.00077745755 0.0010998179 0.0005309466 0.0005119842 0.00064472086 0.0014411408 0.0019152003 0.0012704794 0.0005119842 0.0073763654 0.0052336166 0.0052715414 0.006674757 0.0035838895 0.0032804916 0.002465109 0.002010012 0.0043613473 0.0030339805 0.0025788834 0.0035649273 0.0036787014 0.0043992717 0.0032236043 0.010429308 0.024404582 0.008343447 0.003754551 0.0050819176 0.0033753035 0.011927336 0.003394266 0.0012894417 0.0056887134 0.0013273665 0.0012894417 0.0004550971 0.0016686893 0.00510088 0.0040389867 0.00058783375 0.006409284 0.0037166262 0.0012325546 0.0053473907 0.001649727 0.004607858 0.005916262 0.0024840715 0.0072815535 0.001953125 0.004001062 0.0012894417 0.0010808556 0.0054990896 0.004930218 0.0054801274 0.0013463289 0.0085520325 0.0022565231 0.005707676 0.007717688 0.011529126 0.0046268203 0.003356341 0.009139867 0.008589958 0.0018583131 0.0009860437 0.004057949 0.010486196 0.009594964 0.01323574 0.003356341 0.00041717233 0.008722695 0.007869387 0.014051123 0.00932949 0.0011567051 0.00083434465 0.0028443567 0.0014790655 0.0006636832 0.00022754855 0.000701608 0.0006257585 0.0008722694 0.0009860437 0.0065420205 0.005840413 0.0008722694 0.004873331 0.0018962378 0.0021996358 0.0007205704 0.00083434465 0.0017824636 0.006788532 0.0010998179 0.026566293 0.0008912318 0.0053853155 0.0009670813 0.000853307 0.0015169902 0.00041717233 0.0004361347 0.0011946298 0.0006636832 0.00039820996 0.0003602852 0.00011377427 0.0014601032 0.00041717233 0.00037924756 0.00039820996 0.00058783375 0.00039820996 0.00039820996 9.481189e-05 0.0011756675 0.0023702974 0.00032236043 0.001649727 0.0007205704 0.00037924756 0.00041717233 0.00032236043 0.0010239684 0.00030339806 0.00047405946 0.00018962378 0.0007205704 0.0002654733 0.00041717233 0.0005119842 0.0018772755 0.0006636832 0.0005119842 0.0002844357 0.00058783375 0.00034132283 0.00083434465 0.00034132283 0.0027685072 0.0061438107 0.00032236043 0.0005119842 0.0007584951 0.0002654733 0.00032236043 0.0004550971 0.0025219964 0.0008912318 0.003849363 0.0034890776 0.0016307646 0.0011187803 0.007167779 0.002958131 0.0020289745 0.00034132283 0.0005309466 0.00037924756 0.025656098 0.00047405946 0.0030908678 0.00020858616 0.0014411408 0.00047405946 0.0006067961 0.0016876517 0.000853307 0.00041717233 0.003754551 0.00047405946 0.0020858617 0.0011187803 0.0005119842 0.00064472086 0.0010429309 0.00039820996 0.0005119842 0.0005119842 0.0014790655 0.0005309466 0.000701608 0.00068264565 0.0014790655 0.0022944477 0.0010429309 0.00047405946 0.008703732 0.0023892596 0.00047405946 0.0013842536 0.0036787014 0.0003602852 0.0003602852 0.00024651093 0.0034701154 0.0011756675 0.00024651093 0.0005309466 0.0026168083 0.00041717233 0.0008912318 0.0008722694 0.0028253945 0.00030339806 0.00039820996 0.0004550971 0.0061438107 0.00032236043 0.0016876517 0.03403747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050283205 0.0072167967 0.0012402344 0.0033691407 0.013310547 0.008710938 0.017539062 0.004658203 0.0033300782 0.00140625 0.0004296875 0.00045898437 0.0014941406 0.0008984375 0.0007324219 0.004921875 0.047548827 0.005097656 0.002607422 0.0076171877 0.025791015 0.012675781 0.034990236 0.015097656 0.0026464844 0.0007617187 0.00034179687 0.0004296875 0.0015625 0.00024414062 0.0005859375 0.002001953 0.02758789 0.0019238282 0.0025683595 0.0027539062 0.007138672 0.0038085938 0.017675782 0.010830078 0.0011132812 0.00028320312 0.0011035156 0.000703125 0.000546875 0.00046875 0.000390625 0.0011035156 0.04501953 0.0066015627 0.0032128906 0.033769533 0.008867187 0.008408203 0.010800782 0.0057324218 0.008515625 0.002548828 0.004003906 0.0031445313 0.0075390623 0.0021972656 0.0033984375 0.0062402342 0.034814455 0.0072851563 0.0036328125 0.009892578 0.008876953 0.006875 0.013583984 0.007138672 0.007626953 0.00095703127 0.0016015625 0.0027929686 0.0075390623 0.001484375 0.0022753906 0.003623047 0.049785156 0.018193359 0.0057324218 0.008417969 0.012568359 0.019238282 0.005761719 0.0090039065 0.034541015 0.0014648438 0.0027148437 0.004404297 0.027626954 0.0039453125 0.01265625 0.023945313 0.019501952 0.012871094 0.003125 0.003251953 0.0071484377 0.004667969 0.004951172 0.002890625 0.0121191405 0.0017871094 0.0011230469 0.0051464844 0.011416015 0.0075 0.006787109 0.01571289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 481.0 25.744284 12383.0 0.0061374465 0.00024226762 0.0012113381 0.0009690705 0.005814423 0.00080755877 0.000646047 0.0003230235 0.0023419203 0.00024226762 0.00040377938 0.00024226762 0.0010498264 0.005329888 0.0029879673 0.0009690705 0.0146168135 0.010740532 0.010255996 0.0089639025 0.00646047 0.007025761 0.0041993055 0.0036340144 0.0059759347 0.0041993055 0.0042800615 0.0037955262 0.0062989583 0.00508762 0.0063797142 0.0336752 0.09335379 0.031252522 0.010417508 0.01857385 0.010982799 0.013970766 0.0075102965 0.0041185496 0.01607042 0.0036340144 0.00080755877 0.000646047 0.0044415733 0.0023419203 0.013486231 0.000646047 0.0067027374 0.008398611 0.0011305823 0.017847048 0.0020996528 0.007994832 0.0127594285 0.003230235 0.024388274 0.001292094 0.013647743 0.00016151175 0.000646047 0.0003230235 0.00048453524 0.016151175 0.0011305823 0.032786883 0.0068642492 0.02035048 0.017766293 0.042235322 0.0137284985 0.010336752 0.009286925 0.034078978 0.000646047 0.0029879673 0.01389001 0.04175079 0.037309214 0.053783413 0.008237099 0.00080755877 0.031494793 0.029879674 0.04385044 0.015343616 0.0029072114 0.001938141 0.0048453524 0.0036340144 0.00080755877 0.00024226762 0.000646047 0.0003230235 8.0755875e-05 0.0012113381 5.5923643 0.0 0.0 0.0 2.0 52736.0 73728.0 0.0 83.0 119.0 1.0 1.0 0.0 0.0 0.0 1519965700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 26112.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.132815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.36252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.822621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.14195 0.0 4.177652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25718.0 0.0 1368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -2.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 -1.0 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 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 2.0 1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 4910.0 45808.0 120.0 40380.0 1368.0 61440.0 0.0 0.0 0.0 0.0 3904.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 35456.0 0.0 0.0 496.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.22598076 0.007741928 0.004421234 0.004852295 0.00917244 0.0046539307 0.0023231506 0.0037174225 0.0075702667 0.0018005371 0.001663208 0.0017375946 0.004896164 0.002292633 0.0014324188 0.006881714 0.011016846 0.0013790131 0.0013809204 0.0012874603 0.0070152283 0.0023937225 0.0012874603 0.0011959076 0.0027065277 0.0010318756 0.0015487671 0.0013504028 0.002117157 0.0014724731 0.0012245178 0.0013809204 0.0031280518 0.0011940002 0.0012435913 0.00166893 0.0035915375 0.0011310577 0.0009841919 0.0010719299 0.0014820099 0.000831604 0.0010681152 0.0014286041 0.0016536713 0.0011577606 0.0010738373 0.0011520386 0.0042381287 0.0034561157 0.0029067993 0.009656906 0.0037651062 0.00340271 0.0029678345 0.002822876 0.003396988 0.0036239624 0.0029315948 0.0045776367 0.003665924 0.0034675598 0.003004074 0.0028972626 0.0040836334 0.0016174316 0.0012512207 0.0016345978 0.0021705627 0.0071983337 0.0027542114 0.0014953613 0.0022716522 0.0013790131 0.0012683868 0.0009899139 0.0018024445 0.003944397 0.0015239716 0.0010986328 0.006511688 0.00289917 0.0015888214 0.0029029846 0.001531601 0.005504608 0.004137039 0.003692627 0.0016021729 0.0021896362 0.0013427734 0.0017795563 0.0013980865 0.0035190582 0.0029277802 0.0025405884 0.0015106201 0.0017127991 0.0012722015 0.0014839172 0.0021209717 0.0037117004 0.0042915344 0.0013961792 0.0027065277 0.002166748 0.0047683716 0.0011577606 0.002588272 0.0013828278 0.0049419403 0.002243042 0.002298355 0.0009613037 0.0024547577 0.0024375916 0.0076618195 0.008136749 0.0015106201 0.0013751984 0.0018558502 0.0015487671 0.0010795593 0.0011520386 0.0020694733 0.0030879974 0.0017700195 0.0014095306 0.0032787323 0.0019340515 0.0011959076 0.006128311 0.0022563934 0.0063381195 0.0012969971 0.0010757446 0.0019836426 0.008062363 0.0014972687 0.0308609 0.0016727448 0.007162094 0.0012741089 0.0011920929 0.0015735626 0.0009326935 0.0009822845 0.0010147095 0.0014801025 0.001657486 0.0010128021 0.001045227 0.0015392303 0.0013961792 0.0009651184 0.0009441376 0.0018806458 0.0017700195 0.0012321472 0.0012683868 0.0016536713 0.0019798279 0.0012722015 0.0015983582 0.0017547607 0.0017566681 0.0013980865 0.0011386871 0.001531601 0.0012836456 0.0012321472 0.0011539459 0.0023822784 0.0010547638 0.0009403229 0.0011730194 0.0017967224 0.0011119843 0.0010719299 0.0009288788 0.0015926361 0.0017185211 0.0024204254 0.0020942688 0.0021324158 0.0013427734 0.0016822815 0.001367569 0.0016307831 0.0019245148 0.0015525818 0.0018005371 0.00740242 0.0037441254 0.0030078888 0.0028018951 0.001865387 0.0015335083 0.0024776459 0.0029582977 0.0024795532 0.0024261475 0.0014266968 0.0020389557 0.018522263 0.001449585 0.0031642914 0.002380371 0.0021266937 0.0018100739 0.001750946 0.0013103485 0.0016880035 0.0011444092 0.0016975403 0.0015792847 0.0028305054 0.0014362335 0.001581192 0.002861023 0.0019817352 0.0012359619 0.001537323 0.0016345978 0.0025749207 0.0013313293 0.001367569 0.0014228821 0.0026931763 0.0021362305 0.0012798309 0.0013599396 0.013635635 0.0026493073 0.0015850067 0.0047683716 0.0049705505 0.0014019012 0.0025920868 0.002073288 0.0041980743 0.002576828 0.002035141 0.002494812 0.0033397675 0.0025253296 0.0031394958 0.0030345917 0.005470276 0.0029010773 0.003211975 0.0036678314 0.006658554 0.006494522 0.012060165 0.07470131 0.023426034 8.599865e-06 3.8221624e-06 0.0 0.0 4.4910408e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054188706 5.7332436e-06 9.555406e-07 6.688784e-06 1.1466487e-05 6.688784e-06 1.8155271e-05 6.688784e-06 7.644325e-06 9.555406e-07 9.555406e-07 3.8221624e-06 8.599865e-06 8.599865e-06 1.3377568e-05 0.00035163894 0.0071350215 0.00026755137 7.0710004e-05 0.000113709335 4.777703e-06 8.599865e-06 4.1088246e-05 9.555406e-06 1.2422028e-05 1.528865e-05 4.4910408e-05 1.8155271e-05 4.777703e-06 1.9110812e-05 8.599865e-06 5.3510274e-05 0.0051494082 0.00016244191 6.497676e-05 3.153284e-05 9.555406e-06 9.459852e-05 1.4333109e-05 2.0066353e-05 2.3888515e-05 1.8155271e-05 3.8221624e-05 2.1977434e-05 2.1021893e-05 2.1021893e-05 1.0510947e-05 0.00016913068 0.015503647 0.00034399462 5.6376895e-05 0.00013568677 0.00021595218 6.5932305e-05 5.6376895e-05 8.3132036e-05 0.00012326473 0.000111798254 3.6310543e-05 3.05773e-05 0.00012995352 6.688784e-05 0.00020066353 0.0024089178 0.0063161235 0.00023124083 9.17319e-05 6.497676e-05 3.8221624e-05 0.00014237555 8.9820816e-05 4.586595e-05 0.000115620416 4.4910408e-05 7.835433e-05 5.6376895e-05 0.00016339745 6.688784e-05 5.7332436e-05 0.00022455204 0.010918963 0.00010797609 0.00013473122 0.00056568003 0.0001786861 0.00014428663 0.00034017247 0.00022072988 0.0001834638 9.077636e-05 5.8287977e-05 0.00011944258 0.00021690772 0.00015097542 0.00037266084 0.0018518377 0.011751238 0.00046439274 0.00048828125 0.00025130718 0.00032775043 0.00026086258 0.0005016588 0.00042999326 0.00018728596 0.00029717313 0.00016530852 0.00016626407 0.00019588582 0.00013759785 0.00034303908 0.0016444854 0.009362387 0.00015479758 0.00024175177 0.00033061704 0.0004491041 0.00034877233 0.00063830114 0.00042903773 0.00019206366 0.00016148636 0.00017104177 0.0003717053 0.00048445907 0.0002044857 0.0008370536 0.0012785133 0.03645483 0.0013817117 0.0012976242 0.0022636757 0.0025321825 0.0019923022 0.0069830907 0.0041976897 0.001339668 0.0022120764 0.0019731913 0.0011992034 0.0016024417 0.0013301126 0.0022063432 0.0151825845 0.026009815 0.0015603978 0.0016167747 0.0021031448 0.0015670866 0.001306224 0.0036721425 0.0025436492 0.0011714927 0.0014543328 0.0017218841 0.0009851623 0.0013884004 0.001141871 0.0016129526 0.012766978 0.03079994 0.0031016849 0.0035450556 0.030604055 0.0033224146 0.003317637 0.0040944917 0.003671187 0.0035326337 0.003556522 0.0042750887 0.0037428525 0.0040256926 0.0039444715 0.0055297134 0.02005202 0.017886765 0.0016263301 0.0012699135 0.0018394156 0.0013692897 0.0015814197 0.0017085066 0.0015651755 0.0026019372 0.0013081351 0.001553709 0.0016635963 0.0022789643 0.0017820832 0.003354903 0.011404377 0.03079803 0.0067260503 0.0031953277 0.004921034 0.0065884525 0.010882652 0.0045311735 0.007446528 0.021422265 0.0019053479 0.0028780883 0.0035603442 0.015863884 0.0043247766 0.0089333495 0.024535416 0.044650503 0.017473971 0.0060772384 0.011459799 0.014117157 0.020208728 0.010795698 0.013994847 0.040007528 0.0038288513 0.004715593 0.008109673 0.027474659 0.009133057 0.018040607 0.03954027 0.008388691 0.006235858 0.0057275104 0.0061938143 0.005799176 0.005740888 0.006006528 0.0061890366 0.0064365217 0.005726555 0.005622401 0.0061661038 0.0059233964 0.005922441 0.006412633 0.0073127523 2085.0 11.842686 24692.0 0.02118095 0.0027539283 0.0041713915 0.0021059453 0.007613802 0.0026324315 0.0026729305 0.004414385 0.0057508503 0.0019439495 0.002348939 0.0024299368 0.0059128464 0.0035234084 0.005021869 0.0034424106 0.022962904 0.018224526 0.020208975 0.019196501 0.022557914 0.02114045 0.019277498 0.020168476 0.02000648 0.017414548 0.019277498 0.020613965 0.021423943 0.019682487 0.020330472 0.018953508 0.00846428 0.007613802 0.0042523895 0.010327231 0.009962741 0.007613802 0.008626276 0.007654301 0.008302284 0.0073303096 0.0021464443 0.0025919327 0.00846428 0.005305362 0.0032399157 0.004414385 0.010813219 0.0049813706 0.007856796 0.010570225 0.008950267 0.004009396 0.006844322 0.01000324 0.0057508503 0.0025919327 0.0027539283 0.0019844484 0.005305362 0.002389438 0.002348939 0.0058723474 0.005953345 0.019520493 0.0056698527 0.013283655 0.015551596 0.052162644 0.007046817 0.007856796 0.010286733 0.02195043 0.0057508503 0.003928398 0.02498785 0.010286733 0.020411469 0.023732383 0.011663697 0.0025514336 0.024663858 0.02158594 0.040822938 0.00882877 0.0051433663 0.004697878 0.008950267 0.0057103517 0.0034424106 0.002186943 0.006074842 0.0019034505 0.002389438 0.00230844 6.141383 0.0 0.0 0.0 6.0 524288.0 233472.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1447114000.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 3.0 11.0 0.0 6.0 3.0 6.0 1.0 7680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 -2560.0 208384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.440329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.2990509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0129323 -5.0917535 5.677384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7428.0 -2200.0 208032.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 16720.0 208032.0 20480.0 0.0 0.0 0.0 0.0 672.0 229376.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4928.0 0.0 0.0 332.0 16384.0 0.0 0.0 0.0 0.0