Input: 0.14864048 0.012768338 0.006703501 0.005445976 0.015501228 0.0032601592 0.0036735584 0.0041513187 0.012911914 0.002567035 0.0022130467 0.001752614 0.008820006 0.0022353255 0.001601612 0.005631634 0.0084882965 0.0028764654 0.0017773685 0.0023318678 0.0076045627 0.009122009 0.0012154428 0.0011931638 0.0036958372 0.0010570145 0.0011089988 0.0016733998 0.004000317 0.0013590185 0.0010669162 0.000987702 0.0038097077 0.0011906883 0.001316936 0.0014456591 0.005743029 0.0016164647 0.00103226 0.00086145435 0.002354147 0.0010396863 0.00086145435 0.00223285 0.0017204334 0.0010050301 0.0016932035 0.0010347355 0.0037874286 0.0013293133 0.0013515922 0.005695996 0.0017798439 0.0023566224 0.0013837729 0.0011758357 0.0019184687 0.003794855 0.0010916706 0.0050919876 0.0015842839 0.0021808657 0.0009802757 0.00084660173 0.016313173 0.0031660923 0.00145061 0.0023714749 0.0032873892 0.022234434 0.0049236575 0.001774893 0.0024556401 0.0012773289 0.0009406686 0.0009852266 0.0021660132 0.010938985 0.0020595691 0.0011362286 0.016865198 0.007537726 0.0026982336 0.00675301 0.0017625159 0.0045003565 0.007258001 0.0067158784 0.0023071135 0.004827115 0.00079214195 0.002438312 0.001250099 0.0029507289 0.004624129 0.0036463283 0.0015941857 0.0022278992 0.0010471126 0.0014011011 0.0022179976 0.0046637356 0.0036735584 0.0012055411 0.008906646 0.0023962294 0.009634427 0.0009109632 0.0025472315 0.0012451481 0.0022452273 0.0022402764 0.0032725364 0.0010594899 0.002958155 0.0028591373 0.011505862 0.017023625 0.0036933618 0.008807628 0.0038542657 0.001512496 0.0007154032 0.0008565035 0.0023863276 0.0037403952 0.0019704532 0.001099097 0.0056662904 0.0024878208 0.00087383157 0.01043152 0.0026759545 0.0072357217 0.0014060519 0.0013961502 0.0032428312 0.015709165 0.0010347355 0.035141397 0.0012203937 0.019860484 0.0012773289 0.000725305 0.0012278201 0.00056440115 0.0005668766 0.0005223186 0.0012055411 0.0007327313 0.0005619257 0.00065599254 0.0011585077 0.0017625159 0.0005792538 0.0004950887 0.00091591413 0.00064856623 0.0009381931 0.0006089591 0.0012897061 0.002465542 0.000569352 0.0012401972 0.0011832621 0.0013590185 0.00058668014 0.00071787863 0.0012030656 0.00056440115 0.0006708452 0.0018120247 0.0022526537 0.0005891556 0.0006535171 0.0005767784 0.0012921816 0.00058668014 0.00064856623 0.00075748574 0.0021288814 0.0006510417 0.0015322996 0.0010396863 0.0024581156 0.0014382327 0.0006089591 0.0014035766 0.0011015724 0.00086640526 0.0013342641 0.0011882129 0.009297766 0.002544756 0.0038913973 0.0034458174 0.0025076244 0.00060648366 0.002019962 0.003616623 0.0024704926 0.0031215344 0.00084660173 0.0017501386 0.0036537547 0.00065599254 0.0024086067 0.0016040874 0.0021214553 0.0009827511 0.000965423 0.0015223979 0.001495168 0.0007203541 0.0020496673 0.0022972117 0.0026264456 0.000987702 0.00064113986 0.0012674271 0.0016733998 0.0006114346 0.00076491205 0.0007673875 0.0023145399 0.0010471126 0.0007550103 0.0005965819 0.0018788617 0.00052974495 0.0005495485 0.00051984313 0.022330977 0.0025348542 0.0007277804 0.004889001 0.0060153278 0.0006535171 0.000658468 0.00063866447 0.004153794 0.0022130467 0.0007154032 0.0015397259 0.004376584 0.000569352 0.0021660132 0.0018541072 0.0072010653 0.0020595691 0.0010421617 0.0019357969 0.010899378 0.0036636565 0.0047107693 0.055400427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024202848 3.354604e-05 7.4546756e-06 7.4546756e-06 7.4546756e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-06 6.2122294e-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 0.0022326754 5.839496e-05 1.4909351e-05 8.697121e-06 1.1182014e-05 7.4546756e-06 1.1182014e-05 1.4909351e-05 2.2364027e-05 2.8576256e-05 2.4848918e-05 1.9879135e-05 9.9395675e-06 2.733381e-05 3.1061147e-05 2.1121581e-05 0.0021668258 2.4848918e-05 1.2424459e-05 9.9395675e-06 1.2424459e-05 1.1182014e-05 1.4909351e-05 1.4909351e-05 0.00014660863 1.2424459e-05 1.3666905e-05 9.9395675e-06 1.6151796e-05 3.354604e-05 1.6151796e-05 2.8576256e-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 0.009509681 0.0002000338 6.5849636e-05 0.0016375438 5.466762e-05 2.6091364e-05 2.1121581e-05 0.0018102437 0.00095668336 4.348561e-05 7.4546755e-05 0.00019133667 0.00017766976 6.709208e-05 9.069855e-05 0.00034043018 0.0046405355 7.703165e-05 6.709208e-05 4.4728054e-05 6.087985e-05 8.697122e-05 0.0001677302 0.0011703841 0.00035036975 0.000115547475 1.2424459e-05 0.0005814647 2.9818702e-05 1.2424459e-06 1.6151796e-05 0.00021121581 0.026379611 0.0004957359 0.0011554747 0.0012822042 0.0011219287 0.00074546755 0.0026787135 0.004561019 0.0023047372 0.0005988589 0.00023109495 0.00045473521 0.00075789203 0.00013915394 0.00022985249 0.0026650466 0.010324726 0.0002919748 0.00071067904 0.00046467478 0.0022028566 0.0012200819 0.0062706247 0.0050617247 0.0015083294 0.0005193424 0.00031558127 0.00010933524 0.00038764314 0.00019009423 9.442589e-05 0.0008622575 0.014752803 0.0005267971 0.0015729365 0.0019407006 0.0022662214 0.0011343531 0.0041361023 0.0033670284 0.0012126273 0.00077031646 0.0005839496 0.00047461435 0.0008647424 0.00039758268 0.00023854962 0.0013840848 0.0051747872 0.0001813971 0.0015132992 0.0016002704 0.00218422 0.00073428557 0.0034390902 0.0018139711 0.00010063812 0.00017766976 0.00021991292 0.00015779064 8.697122e-05 0.00010063812 8.697122e-05 0.00023979206 0.001928276 0.000275823 9.815323e-05 0.0006224654 0.0007591345 0.0005243122 0.00011803236 0.0006361323 0.0015617545 9.9395675e-06 4.1000716e-05 1.3666905e-05 0.00019506401 7.951654e-05 0.00032924817 0.00044106832 0.057438277 0.01384209 0.006357596 0.00855921 0.022477088 0.022533 0.007841077 0.015864791 0.037372775 0.001780425 0.0033247853 0.0035335163 0.012291517 0.004547352 0.012920195 0.028858291 0.09491417 0.02875517 0.012385944 0.015300722 0.04165673 0.044962876 0.01841429 0.028117795 0.060410205 0.0041298904 0.008021231 0.008541816 0.024815373 0.010999374 0.02791279 0.064300306 0.004836842 0.004923813 0.0049051763 0.004821933 0.0048828125 0.0051723025 0.004773477 0.004897722 0.0048355996 0.0049349954 0.004906419 0.00499836 0.0049275407 0.0049523893 0.0048045386 0.0053064865 1760.0 9.951137 17514.0 0.019470138 0.0015416238 0.003482928 0.001256138 0.005424232 0.0077652163 0.0014845267 0.0008564577 0.004110997 0.0030261504 0.0046819686 0.0052529406 0.004339386 0.005823912 0.012275893 0.0049103573 0.012161699 0.0037684138 0.0053671347 0.005709718 0.0046248715 0.0023409843 0.0022838872 0.0017129154 0.0051958435 0.006623273 0.0037684138 0.005138746 0.0042822883 0.0042822883 0.0030832477 0.0018842069 0.008621674 0.015644627 0.005081649 0.010620075 0.012332991 0.008850063 0.015016559 0.0071371472 0.0046248715 0.008221994 0.00051387463 0.0014274295 0.007708119 0.006052301 0.003482928 0.0030832477 0.014502684 0.010277492 0.0058810096 0.019926915 0.007308439 0.005652621 0.012161699 0.015930112 0.0027977617 0.0037684138 0.00074226334 0.0022838872 0.00445358 0.0029690533 0.003825511 0.012390088 0.0014274295 0.028891172 0.0065090787 0.016672377 0.023409843 0.06577595 0.007993605 0.009592326 0.018156903 0.03254539 0.0074797305 0.0049103573 0.028605687 0.013132351 0.029405048 0.03277378 0.015187849 0.0011419436 0.036542196 0.026550189 0.050531004 0.016329793 0.0039397054 0.08964257 0.013931712 0.0074797305 0.0018271097 0.0014274295 0.0024551786 0.0010277493 0.0023980816 0.0010848464 5.8110924 2.0 9.0 0.0 1.0 403968.0 495616.0 0.0 0.0 393.0 0.0 1.0 0.0 0.0 0.0 1230929800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 0.0 1024.0 4096.0 3.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -314368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.365267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5350685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5460534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14218.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -328608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -3.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -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 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 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 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 10048.0 74072.0 352256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1620.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.10948661 0.010212054 0.009095982 0.0021484375 0.0077008926 0.002845982 0.010491071 0.003627232 0.0038504463 0.0015904017 0.014174107 0.012611607 0.004073661 0.0027901786 0.004659598 0.00053013396 0.0010602679 0.0039620535 0.00703125 0.0016741072 0.010658482 0.00546875 0.005496652 0.008482143 0.0011160715 0.0077287946 0.006417411 0.00072544644 0.0002511161 0.0068359375 0.003013393 0.0017857143 0.0042410716 0.000390625 0.0010044643 0.0030691964 0.0006138393 0.0049107145 0.00036272322 0.0015345982 0.013811384 0.0024553572 0.0048549105 0.001813616 0.004799107 0.004547991 0.010491071 0.0050502233 0.0020647321 0.0010881696 0.0061941966 0.0057477676 0.0059430804 0.0037667411 0.00033482144 0.0035435269 0.0006696429 0.00069754466 0.0034040178 0.0047433036 0.00053013396 0.0059709824 0.001953125 0.00047433036 0.0009765625 0.0057477676 0.024135044 0.0034319197 0.006026786 0.0006417411 0.007896205 0.005998884 0.0017857143 0.0014508929 0.000390625 0.005998884 0.0046316963 0.0010323661 0.0012555803 0.00022321429 0.017745536 0.012220982 0.0018973214 0.003125 0.007672991 0.0004185268 0.00072544644 0.00036272322 0.0026227678 0.0016462053 0.0035714286 0.0004185268 0.0057477676 0.0015625 0.003934152 0.003125 0.0009765625 0.005217634 0.0029854912 0.0041852677 0.004045759 0.02061942 0.004827009 0.0022600447 0.008649553 0.009040179 0.0068638395 0.00078125 0.004408482 0.003376116 0.0057477676 0.009654018 0.0020647321 0.0011439732 0.009012277 0.010239955 0.012583706 0.004045759 0.0045200894 0.0018415179 0.0013392858 0.0042410716 0.010407366 0.0030970983 0.00027901787 0.0036830357 0.0010881696 0.00055803574 0.0012555803 0.0008370536 0.00011160714 0.0064732144 0.00011160714 0.023772322 0.0005859375 0.0010323661 0.0004185268 0.004408482 0.0012834822 0.0012555803 0.002483259 0.0045200894 0.003376116 0.0047433036 0.00022321429 0.0026506695 0.0008370536 0.0013950893 0.008872768 0.0006696429 0.001953125 0.0030691964 0.00013950893 0.005301339 0.0035714286 0.0009486607 0.00044642857 0.0010323661 0.0043526785 0.00030691965 0.0049107145 0.025641741 0.0061941966 0.008565848 0.0016183036 0.00044642857 0.005217634 0.0010044643 0.012276785 0.0011997768 0.0060825893 0.00011160714 0.00078125 0.00011160714 0.00016741072 0.000390625 0.0017020089 0.0026227678 0.0013392858 0.0001953125 0.006640625 0.00044642857 0.0001953125 8.370536e-05 0.0023716518 0.0049107145 0.0012834822 0.00036272322 0.0037667411 0.0013392858 0.0013950893 0.00044642857 0.00022321429 0.0012555803 0.0004185268 0.0013950893 0.0007533482 0.0013950893 0.0014508929 0.0006138393 0.00030691965 0.0011160715 0.008816964 0.0011160715 0.001953125 0.004938616 0.0002511161 0.003934152 0.0116908485 0.004045759 0.0005859375 0.0038783483 0.0046316963 0.003627232 0.00011160714 2.7901786e-05 0.0002511161 0.00027901787 0.0031529018 2.7901786e-05 0.0013671875 0.0004185268 0.0010602679 0.0012276786 0.00044642857 0.00022321429 0.0016183036 0.00069754466 0.0010044643 0.0029017858 0.0017020089 0.0033203126 0.009319196 0.0015625 0.0044921874 5.580357e-05 0.00022321429 0.0022879464 0.0019252232 0.00036272322 0.00027901787 0.0010044643 0.00016741072 0.003013393 0.0052734376 0.0032924106 0.00011160714 0.00011160714 0.0008370536 0.00092075893 0.0026506695 0.00013950893 0.0005022322 0.00047433036 0.0010602679 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05671243 0.0058162916 0.0060891546 0.0022690718 0.0013930377 0.0013643153 0.0063332953 0.006304573 0.00027286305 8.616728e-05 0.00018669578 0.0002154182 0.0002154182 8.616728e-05 0.000114889706 0.0007755055 0.028679343 0.0023983226 0.002570657 0.0011058134 0.004624311 0.0040498623 0.02662569 0.015538833 0.0004451976 0.00041647517 0.0002154182 0.00034466913 0.00027286305 0.00024414062 0.00020105699 0.0005026425 0.018841911 0.0016659007 0.001278148 0.0007611443 0.0007036994 0.0006462546 0.0004451976 0.00057444855 0.000674977 0.0005600873 0.00047392002 0.00048828125 0.0010196462 0.0003159467 0.00041647517 0.0005457261 0.01219267 0.0009622013 0.0008903952 0.0004451976 0.0015653722 0.0008473116 0.006060432 0.0036764706 0.00045955883 0.00034466913 0.0003303079 0.00022977941 0.00083295035 8.616728e-05 0.00027286305 0.0002154182 0.021556182 0.002154182 0.0027860755 0.0023839613 0.0026137407 0.0025993795 0.012752757 0.0068359375 0.0013643153 0.0006606158 0.0011632582 0.0005313649 0.00040211398 0.00025850185 0.00047392002 0.00028722428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007065717 0.0020249311 0.0020249311 0.001953125 0.0017377068 0.0016802619 0.004696117 0.002757353 0.0011776194 0.00071806065 0.00083295035 0.00057444855 0.0005170037 0.00047392002 0.000674977 0.0005026425 0.041274127 0.058019303 0.04831112 0.038861442 0.060661763 0.057329964 0.036520567 0.034165327 0.053825825 0.03400735 0.07358686 0.027487362 0.027473 0.035974838 0.030876609 0.018095128 233.0 16.695278 3890.0 0.019023137 0.00025706942 0.005655527 0.001285347 0.00025706942 0.0 0.00025706942 0.0 0.0 0.0 0.00025706942 0.0 0.0041131107 0.0028277636 0.023907455 0.004884319 0.009768638 0.0061696656 0.001285347 0.0061696656 0.0041131107 0.002570694 0.0010282777 0.002570694 0.0017994859 0.0015424164 0.0017994859 0.0017994859 0.0030848328 0.0061696656 0.0033419023 0.0010282777 0.00025706942 0.012082262 0.0066838046 0.012596401 0.011825193 0.0033419023 0.006940874 0.0030848328 0.0017994859 0.0053984574 0.0 0.0053984574 0.0028277636 0.0035989718 0.0015424164 0.00051413884 0.007969151 0.00025706942 0.007969151 0.0149100255 0.013881748 0.0017994859 0.0030848328 0.0010282777 0.00025706942 0.0010282777 0.0 0.0 0.0030848328 0.0 0.00051413884 0.011311054 0.00051413884 0.03830334 0.01773779 0.027763495 0.024935734 0.11182519 0.010282776 0.01748072 0.009511569 0.049357325 0.0007712082 0.004627249 0.03419023 0.026992287 0.04473008 0.055012852 0.013367609 0.0007712082 0.05269923 0.05578406 0.07377892 0.03084833 0.0064267353 0.004627249 0.004884319 0.016966581 0.002570694 0.0 0.00025706942 0.0 0.0 0.0010282777 5.227314 1.0 0.0 0.0 1.0 35840.0 65536.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3471657700.0 0.0 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 33280.0 512.0 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 -33280.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -7.0789933 0.0 4.2182174 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 -33192.0 0.0 1468.0 0.0 0.0 0.0 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 41293.0 1468.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 56.0 41104.0 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: 0.014034699 0.0039140163 0.0037959462 0.0038486968 0.0038229881 0.00375824 0.0037369113 0.0039119213 0.0038410795 0.0035500943 0.0036196033 0.003681685 0.0037430052 0.0036525487 0.0036828278 0.00428308 0.0036881599 0.0035773267 0.0034240263 0.0036026544 0.0037068226 0.0036001788 0.003703966 0.00371006 0.0036536912 0.0034731585 0.0035860867 0.0036706398 0.0036536912 0.0036740678 0.0037405298 0.004156631 0.0037155827 0.0034249783 0.0034605898 0.0035182917 0.003633505 0.0035466666 0.0035917996 0.0037475757 0.0035838014 0.0035961797 0.003489155 0.003678067 0.0035203865 0.0036740678 0.0035897049 0.003890783 0.0036474068 0.003546857 0.003412981 0.0038347952 0.003533336 0.0035670432 0.0036698782 0.0037898524 0.003612938 0.003677305 0.0036491207 0.003883737 0.003954769 0.0038033733 0.003947723 0.0044399984 0.0036178892 0.003611224 0.0041034995 0.003633505 0.0035636153 0.004075886 0.003664165 0.0036959678 0.007988569 0.003611224 0.003582278 0.0035885624 0.0034965822 0.0037934706 0.0036255068 0.0039439145 0.003749861 0.0035858962 0.0035636153 0.0036578807 0.008101307 0.0036837799 0.0036872078 0.0038147995 0.0035596162 0.0036866365 0.0035843728 0.0036196033 0.0035959892 0.0037199627 0.0038690735 0.004152251 0.003529337 0.0036997765 0.0035112456 0.003682066 0.003682447 0.0038673596 0.0037232 0.003849649 0.0036927303 0.0037018713 0.0036236024 0.0035403823 0.0037698566 0.0035352404 0.0036693069 0.0041806255 0.0036138901 0.0035440004 0.0038104195 0.003811181 0.004108641 0.003983906 0.003752908 0.0037812828 0.00404675 0.0038839274 0.003682447 0.0038547907 0.004114735 0.0039307745 0.0042240447 0.0046313857 0.0035508561 0.0037521461 0.0035078179 0.0042265207 0.0035415248 0.0039688614 0.0035365734 0.0037631914 0.0035129595 0.004029991 0.0036224597 0.0048804753 0.0035009622 0.00402085 0.003567424 0.0039475327 0.003461542 0.0035102933 0.0035181013 0.003707394 0.0035455239 0.0035830396 0.0034428793 0.0037570975 0.003411267 0.003479062 0.003423074 0.0036725441 0.0036316006 0.0036934922 0.0038816421 0.0041236854 0.0034994385 0.0035803735 0.003486108 0.003660166 0.0034508775 0.0035104838 0.0033838444 0.0037732846 0.0034958203 0.003464208 0.003460209 0.0035931328 0.0035737085 0.0035339075 0.0035681857 0.0039618155 0.0036135092 0.003547809 0.0035798023 0.0037182488 0.0036036067 0.0035727562 0.003557331 0.0037609062 0.0036392182 0.0081074005 0.0035101029 0.0037395775 0.0039149686 0.0037329122 0.0039951415 0.0043282127 0.004017232 0.0038980197 0.0036668312 0.003969433 0.0037386252 0.0037416723 0.0036927303 0.0041408245 0.0037104408 0.0037551932 0.0036222693 0.0036525487 0.0037993742 0.003586658 0.0037357688 0.0042375657 0.0036660694 0.0036171277 0.003612938 0.003643979 0.0035354309 0.0035672334 0.0035763744 0.0038123238 0.0037618584 0.0038576473 0.0035767553 0.0036883503 0.0034969628 0.003651025 0.003934012 0.0042335666 0.0039570546 0.0037719514 0.0038266063 0.0038818326 0.0038913544 0.0039250613 0.0035417152 0.0039848583 0.0042528007 0.003739387 0.0035992267 0.00385879 0.0040652216 0.0036784478 0.0036171277 0.0041520605 0.004292221 0.004232424 0.0040934063 0.003993999 0.0038768812 0.003829463 0.003977431 0.004092454 0.0044146706 0.0042916494 0.0039894287 0.004123114 0.0046091047 0.004282699 0.0047987783 0.01907971 0.0009666578 9.5237226e-08 0.0 3.0475912e-06 1.7142701e-06 1.9047445e-07 3.3333029e-06 9.5237226e-08 9.5237226e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.00019504584 0.00018552212 6.666606e-07 1.9047445e-07 2.8571168e-07 6.666606e-07 2.8571168e-07 1.4285583e-06 1.8095072e-06 6.666606e-07 4.7618613e-07 7.618978e-07 7.618978e-07 9.5237226e-07 5.7142336e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00034704444 7.238029e-06 6.380894e-06 7.618978e-07 4.3809123e-06 3.1428285e-06 4.4761496e-06 4.1904377e-06 2.0952189e-06 1.1428467e-06 1.5237956e-06 1.2380839e-06 1.7142701e-06 1.2380839e-06 2.8571168e-07 3.2380656e-06 0.0006259943 5.3999505e-05 5.2380474e-06 2.2856934e-06 5.1713814e-05 4.457102e-05 1.2285602e-05 6.761843e-06 6.1904198e-06 1.6190328e-06 1.4285583e-06 4.123772e-05 1.4285583e-06 1.7142701e-06 1.4285583e-06 0.0003123781 0.0001379035 0.0 0.0 0.0 5.3047133e-05 5.3047133e-05 9.5237226e-08 9.5237226e-08 0.0 0.0 0.0 5.3047133e-05 9.5237226e-08 0.0 0.0 0.0002878069 0.00043961502 1.4285583e-05 2.6666423e-05 2.0952189e-06 0.0005841851 0.0005614234 0.00011466562 6.180896e-05 4.8570982e-06 1.676175e-05 3.7142518e-06 0.0005455188 1.1618941e-05 5.428522e-06 4.666624e-06 0.0024788345 0.0027794032 8.31421e-05 0.00024437872 3.4190165e-05 0.0026839755 0.0025700717 0.00064132747 0.0003619967 5.7237572e-05 2.7047372e-05 9.7141965e-06 0.0025236912 4.9618593e-05 3.7523467e-05 3.257113e-05 0.0071736486 0.0011143708 2.4475967e-05 7.2094575e-05 3.123781e-05 0.0010611331 0.0010040861 0.00018895065 0.000107903776 3.3904453e-05 1.0190383e-05 2.4475967e-05 0.0009820863 1.2761788e-05 1.7428412e-05 7.238029e-06 0.001159037 0.0011156088 2.5333102e-05 7.447551e-05 5.62852e-05 0.0005796137 0.0004643767 0.00034313972 0.00018390307 1.9523632e-05 1.41903465e-05 1.5523668e-05 0.00040752007 1.8666497e-05 1.9142683e-05 1.542843e-05 0.0007432313 0.0005927565 6.0856586e-05 8.4856365e-05 4.285675e-05 0.00016856988 8.7427776e-05 0.00033752073 0.00019256967 2.399978e-05 5.8094706e-06 1.676175e-05 2.8856879e-05 3.1523523e-05 9.7141965e-06 1.0095146e-05 6.123754e-05 0.00017123653 4.7809088e-05 4.9618593e-05 0.00069266034 5.2570947e-05 5.0761442e-05 8.171354e-05 5.5809014e-05 3.9332972e-05 3.7618705e-05 5.5428063e-05 4.495197e-05 4.085677e-05 4.190438e-05 4.32377e-05 5.4856642e-05 0.0005278047 6.142801e-05 5.933279e-05 9.428485e-05 0.00011761797 9.8761004e-05 8.047545e-05 7.49517e-05 0.000106951404 3.5713958e-05 4.0666295e-05 7.218982e-05 9.666578e-05 3.780918e-05 6.0761347e-05 0.00018999826 0.0023158835 0.00034161593 0.00023999781 0.000322378 0.00075332646 0.0006033278 0.00030885433 0.0005792328 0.0014912245 0.000130475 0.00012942738 0.0002281884 0.0008863729 0.00024475966 0.0005746614 0.0011877035 0.003283589 0.00072008866 0.00045171016 0.0006825652 0.0012151317 0.0010891329 0.00056980434 0.0010175145 0.0020489336 0.00023209311 0.00028009267 0.00032142564 0.001257798 0.0004977097 0.0010517999 0.0018595068 0.056215487 0.057188906 0.056355484 0.05801709 0.056279104 0.057013668 0.05657891 0.060136117 0.057106715 0.05734081 0.056426816 0.05868318 0.058565654 0.058328133 0.05995345 0.06617911 22274.0 6.0341206 134404.0 0.012112735 0.008883664 0.009114312 0.0089506265 0.009955061 0.00904735 0.009010148 0.010126187 0.010036903 0.009404482 0.009077111 0.00933008 0.009062231 0.00962769 0.010126187 0.009411923 0.011138061 0.011264546 0.011197584 0.010356834 0.010684206 0.010587483 0.010684206 0.010944615 0.010490759 0.010899973 0.009754174 0.010029463 0.011108301 0.0104982 0.011048778 0.0114951935 0.010937175 0.009724413 0.009077111 0.009300319 0.009620249 0.010170829 0.010200589 0.0098434575 0.0093524 0.009449123 0.009501206 0.0087125385 0.009769054 0.00935984 0.009657451 0.010394036 0.01021547 0.009612809 0.009731853 0.010788369 0.010185709 0.00994018 0.011004137 0.010416357 0.009493765 0.009434243 0.009724413 0.009091991 0.009731853 0.009478885 0.0101038655 0.010952055 0.0101038655 0.012685634 0.009813696 0.011740722 0.0118225645 0.016874498 0.009858337 0.010632124 0.009858337 0.013385018 0.008615815 0.009166393 0.012640993 0.010572602 0.012254099 0.014151365 0.010825571 0.009426802 0.013943037 0.012588911 0.014404333 0.01081813 0.010059224 0.009769054 0.011130621 0.010862772 0.008853903 0.010319633 0.0104089165 0.009858337 0.010416357 0.011703521 6.5736837 0.0 1.0 2.0 66.0 5251128.0 376832.0 1.0 0.0 123.0 1.0 1.0 0.0 0.0 0.0 1521136100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 131072.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131072.0 0.0 164352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.602437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.765577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.083475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6566234 0.0 2.9137557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -130951.0 0.0 164163.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 160.0 173408.0 164163.0 200704.0 0.0 0.0 16648.0 778080960.0 8116.0 368640.0 56.0 135792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 164304.0 0.0 0.0 520.0 135168.0 0.0 0.0 0.0 0.0


Input: 0.1952912 0.023894012 0.038397722 0.014893957 0.0263904 0.0069703776 0.04273262 0.0073962207 0.0066302307 0.005840509 0.01840156 0.004483217 0.005106161 0.0031971184 0.0032215088 0.0030507762 0.002700082 0.010143765 0.0027027188 0.008349423 0.0031938225 0.003112741 0.008713961 0.0056532966 0.0032676528 0.002449586 0.0025504436 0.0029360754 0.002089663 0.0042960043 0.0031120817 0.0069084126 0.025713403 0.0017508344 0.015231468 0.0045478186 0.0017112824 0.0041951467 0.0022880821 0.0012109498 0.01817875 0.0008984892 0.013264416 0.0047119595 0.0073500765 0.005159556 0.002753477 0.006473341 0.016441759 0.006773936 0.006552445 0.004191192 0.003231397 0.0024752948 0.0035445166 0.0023322485 0.006568925 0.0029657395 0.010305269 0.0014904505 0.006376439 0.007123312 0.0065287137 0.0008872828 0.0068411743 0.0010975675 0.0011483259 0.0012663226 0.0014073914 0.0010982266 0.0013012602 0.0005893245 0.0007547836 0.0014232121 0.001059993 0.0009149692 0.00092222035 0.0006222845 0.0012748922 0.0007910396 0.0018378487 0.0006697469 0.0011252539 0.0017257847 0.0011522811 0.0007501693 0.0008457532 0.0006268989 0.0023671861 0.0018075255 0.00093804114 0.00078444765 0.0010316476 0.000445619 0.0010837243 0.0013091706 0.0015207737 0.006949283 0.0031087857 0.003831928 0.0042426093 0.01028813 0.004351377 0.0017369912 0.0026387763 0.0047620586 0.0009518844 0.0010909755 0.0065478305 0.0039334446 0.0062768995 0.028273074 0.011102901 0.002095596 0.013940755 0.008909084 0.008866236 0.0033691695 0.004704049 0.0067126304 0.001835212 0.0022300726 0.0015543929 0.010735067 0.0006328317 0.0049077417 0.002898501 0.00070402527 0.0017290808 0.00054252136 0.0005873469 0.0003981566 0.00050033256 0.0004673726 0.0005286782 0.00041134062 0.0004759422 0.0004047486 0.00037508464 0.00038892782 0.0051569194 0.0010145083 0.00078181084 0.0006624957 0.00056493416 0.0004344126 0.00051219814 0.00030784626 0.0008266364 0.00049967336 0.0005932797 0.00033882863 0.0005906429 0.0005688893 0.00067897566 0.00032168944 0.0006750205 0.0005952573 0.00058339175 0.00037574384 0.00071918685 0.00047198698 0.0039888173 0.0004067262 0.0007086397 0.0012201787 0.00045023338 0.00045221098 0.0004561662 0.0004680318 0.0005102206 0.00033223664 0.00045287018 0.00039090542 0.00059789413 0.0004363902 0.00060119014 0.0004574846 0.0004100222 0.00046935017 0.00049967336 0.00046143978 0.000419251 0.00038035822 0.0005860285 0.00039420143 0.0008470716 0.00033289584 0.00047264618 0.00048385258 0.00070072926 0.00046209898 0.0008325692 0.0004383678 0.00041068142 0.0004284798 0.0004647358 0.0004166142 0.00037903982 0.00038365423 0.00055702374 0.0008576188 0.00048451178 0.00037310703 0.00056361576 0.00040013422 0.00048780776 0.00035399024 0.0006216253 0.00052076776 0.0006110781 0.00051351654 0.0012505018 0.00032959983 0.0004284798 0.00031575665 0.00051483494 0.0004350718 0.00035728622 0.00029861747 0.00058405095 0.00037442544 0.0008147708 0.0004891262 0.0010705403 0.00047857896 0.0005293373 0.0006321725 0.00070336607 0.0003955198 0.00078840286 0.00057811814 0.00047198698 0.000465395 0.0004297982 0.0004344126 0.00037903982 0.00053527014 0.0004337534 0.0006717245 0.00075610203 0.00052406377 0.0004897854 0.0004482558 0.00053527014 0.0004199102 0.0006242621 0.00048583018 0.00045946217 0.00053592934 0.00059855334 0.0006420605 0.0008708028 0.0012399546 0.007131222 0.017993515 0.012055928 2.4414063e-05 9.567673e-06 3.2991977e-06 0.0 1.3196791e-06 7.5881544e-06 5.2787163e-06 3.2991977e-06 9.8975925e-06 7.9180745e-06 1.0227513e-05 4.9487962e-06 3.9590373e-06 4.6188766e-06 9.8975925e-06 0.003893383 2.0784944e-05 1.352671e-05 6.5983954e-06 1.5506228e-05 6.2684753e-06 2.3424303e-05 1.0887352e-05 4.288957e-06 7.2582347e-06 1.0227513e-05 9.8975925e-06 6.5983954e-06 4.6188766e-06 4.9487962e-06 1.5836149e-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 0.0047053155 5.8065878e-05 4.7178528e-05 6.5654036e-05 4.8168284e-05 1.8475506e-05 7.753114e-05 4.420925e-05 5.8065878e-05 4.189981e-05 9.567673e-06 6.5983954e-06 1.1547192e-05 4.6188766e-06 2.606366e-05 0.00018244563 0.002155366 2.2434544e-05 2.2434544e-05 5.8065878e-05 1.6825908e-05 9.8975925e-06 3.7280934e-05 1.8475506e-05 3.3981734e-05 3.4311655e-05 6.928315e-06 3.6291174e-06 4.6188766e-06 4.288957e-06 1.6495987e-05 0.00025766733 0.003778241 7.093275e-05 3.5301415e-05 0.0002771326 4.618877e-05 3.6291174e-05 0.00012734903 8.01705e-05 5.83958e-05 6.1035156e-05 1.0557433e-05 1.352671e-05 1.8805427e-05 9.8975925e-06 4.8828126e-05 0.0007327518 0.0031259898 7.3902025e-05 0.0001369167 0.00066148915 4.222973e-05 4.8498205e-05 0.00025007917 0.00015737173 5.2457242e-05 6.5654036e-05 1.2536951e-05 2.0125106e-05 2.4743982e-05 1.484639e-05 5.1797404e-05 0.0006667678 0.00304285 0.00012602935 0.0030029297 0.008065218 0.00052490237 0.00042988546 0.0037541569 0.0013810442 7.126267e-05 4.8168284e-05 2.870302e-05 2.6393582e-05 4.0250212e-05 1.7815668e-05 3.068254e-05 0.0003556535 0.02952023 0.0032302444 0.037189547 0.05011184 0.006222617 0.002447015 0.04217496 0.03396656 0.0007014094 0.00027812237 0.0003470756 0.00033189927 0.0002088392 0.0003220017 0.00023490287 0.00082084036 0.1310052 0.021745011 0.025022764 0.008956992 0.0045294682 0.005001254 0.013974082 0.013891602 0.0033935546 0.0017548432 0.0022553315 0.0020200987 0.0016608161 0.002227948 0.0018815324 0.005949773 0.12531607 0.026675662 0.028059676 0.009503669 0.0044143265 0.0047953837 0.016881004 0.019172957 0.0044674436 0.0025017816 0.0037815403 0.0023651947 0.0021375502 0.0024767076 0.0034522803 0.0095393 0.07010267 0.016879026 0.01764609 0.006389556 0.0033496753 0.0036327464 0.0073743667 0.011736565 0.003593486 0.0021784601 0.0037426099 0.0018313846 0.0020266972 0.0018851615 0.0017564928 0.011415553 0.011301071 0.0021111565 0.002702043 0.0017215214 0.0015097129 0.0007980759 0.0027455923 0.002689176 0.00085053314 0.00047112542 0.0008228199 0.00038765572 0.00067171664 0.0005275417 0.00050345756 0.002619233 0.0029870935 0.00035532357 0.0007251636 0.0010187923 0.00081325223 0.00052853144 0.0016321131 0.0009554476 0.0003302497 0.00028406092 0.0002669051 0.00029131916 0.00025007917 0.0003190324 0.00034047719 0.00038864548 0.0011524097 0.00024776976 0.00033453864 0.00037643846 0.0003770983 0.00026294607 0.00073077227 0.00048168286 0.00023160367 0.00016759924 0.00019498258 0.00016495989 0.00016495989 0.00014945366 0.00016891892 0.00019927154 0.0015799857 0.0005691116 0.00053941883 0.0006344357 0.0006110114 0.00049158046 0.0007475982 0.0005882469 0.00058461784 0.00056515256 0.0005519558 0.00049718906 0.000600454 0.0004790435 0.00048102302 0.0006143106 2429.0 131.10786 318461.0 0.07880714 5.9661936e-05 0.05881411 0.004094693 5.3381733e-05 0.00023550764 0.00013502438 7.222234e-05 0.00025120814 0.00013188428 0.0010048326 0.000153865 0.015232635 0.006057257 0.0052942117 0.0222068 0.05582787 0.02683217 0.018947376 0.011555575 0.00894301 0.009024653 0.011718861 0.008349531 0.011040598 0.0066099144 0.041085094 0.0021792308 0.02776792 0.03133822 0.027843283 0.00017584571 0.018039886 0.0006939625 0.0019845443 0.0029297152 0.0024429993 0.00017584571 0.0023048348 0.0005024163 0.00057149853 0.0011932388 8.164265e-05 0.00073164375 0.0008132864 0.00071280316 0.003111841 0.0007724651 0.0049111196 0.0006248803 0.0010801951 0.005055564 0.0018558003 0.00025434827 0.00086980825 0.00022608734 0.00024492794 0.000106763466 0.00019782642 0.0001570051 2.1980713e-05 1.5700509e-05 0.00019782642 0.0013659444 0.00020096652 0.028540386 0.011043739 0.01568795 0.016755585 0.04458945 0.017411865 0.005419816 0.009994945 0.017619113 0.00096087117 0.0025403425 0.027378548 0.011828764 0.025726855 0.028414782 0.014136739 0.008164265 0.027218403 0.025437966 0.035574216 0.011222724 0.019487472 0.030276863 0.006280204 0.008980691 0.0023205352 3.1401018e-05 0.00016642541 3.1401018e-05 0.00042391376 4.0821324e-05 5.417276 0.0 5.0 0.0 2.0 1516991.0 3940352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 3891200.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3884032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 -512.0 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 0.0 0.0 0.0 -6.147363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3883723.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10876.0 0.0 0.0 0.0 -86.0 1080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 3915784.0 1080.0 3932160.0 0.0 0.0 3712.0 3898880.0 12.0 3923968.0 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 3915776.0 0.0 0.0 72.0 8192.0


Input: 0.30073687 0.02454723 0.03071733 0.012917259 0.038219105 0.008300781 0.02512429 0.012340199 0.011985085 0.009321733 0.015935725 0.0061257104 0.0061700996 0.0072798296 0.0029740767 0.0019087358 0.0033291904 0.021883877 0.011052912 0.013094815 0.0033735796 0.0036399148 0.0061700996 0.004971591 0.0025301846 0.0015536222 0.0016867898 0.0013316761 0.0011097301 0.0013760653 0.0013760653 0.0016424005 0.009144176 0.0010653409 0.0016867898 0.002397017 0.0024414062 0.0016867898 0.0013760653 0.0009765625 0.009721235 0.0022638494 0.0053710938 0.008567116 0.0063476562 0.0030184658 0.0063476562 0.0018643466 0.006303267 0.0033291904 0.0015980114 0.0015980114 0.0019087358 0.0015092329 0.001287287 0.0013316761 0.0020419033 0.0016424005 0.0020419033 0.00044389206 0.0019087358 0.0013316761 0.0014648438 0.0010653409 0.0011097301 0.003284801 0.0020419033 0.0027965198 0.0020862927 0.0042169746 0.0016424005 0.0011097301 0.0008877841 0.0021306819 0.00031072443 0.0009321733 0.0018199574 0.0023082385 0.0010209517 0.0009321733 0.0024414062 0.0010653409 0.0018643466 0.0037286931 0.0023082385 0.00053267047 0.0021306819 0.0009765625 0.0025301846 0.003284801 0.0020862927 0.0012428977 0.0007990057 0.00022194603 0.00013316762 0.0044833096 0.0008877841 0.008877841 0.0040394175 0.004705256 0.0048384233 0.02352628 0.0014648438 0.0040394175 0.0019087358 0.014737216 0.00035511365 0.0015536222 0.008256392 0.0062144888 0.011052912 0.015181108 0.00390625 0.0012428977 0.012917259 0.014071378 0.016068893 0.005859375 0.0013760653 0.001287287 0.0018643466 0.0038618608 0.0015092329 0.017489346 0.00044389206 0.005814986 0.0007990057 0.0029296875 0.0031516335 0.0029296875 0.00026633524 0.00053267047 8.877841e-05 0.00022194603 0.0010209517 4.4389206e-05 0.00062144885 0.0009321733 0.00026633524 0.0008433949 0.0009321733 0.0007102273 0.00031072443 8.877841e-05 0.00022194603 0.00053267047 0.00013316762 0.00031072443 0.00017755682 0.00017755682 0.00035511365 0.00013316762 0.00013316762 0.00075461646 0.0018643466 0.0006658381 0.00026633524 0.00017755682 8.877841e-05 8.877841e-05 0.00026633524 0.00048828125 0.0008433949 0.0011541193 0.00017755682 0.00053267047 4.4389206e-05 0.00013316762 0.00039950284 0.00035511365 0.00013316762 0.00017755682 0.00031072443 0.00039950284 8.877841e-05 0.0 0.00044389206 0.00048828125 0.00022194603 0.00013316762 0.00031072443 0.00017755682 4.4389206e-05 0.00017755682 0.00048828125 0.00017755682 0.00013316762 0.00048828125 0.00035511365 0.00022194603 0.00017755682 0.00017755682 8.877841e-05 0.00026633524 8.877841e-05 0.00022194603 0.00017755682 0.00053267047 0.00022194603 0.00017755682 4.4389206e-05 0.00031072443 0.00026633524 0.0 0.00035511365 8.877841e-05 0.00022194603 0.00026633524 0.00017755682 0.00013316762 0.00026633524 0.0 8.877841e-05 8.877841e-05 0.00013316762 0.00022194603 0.00017755682 0.00075461646 0.00022194603 0.00022194603 0.00022194603 0.00022194603 0.00022194603 0.00026633524 0.00057705963 0.00026633524 8.877841e-05 8.877841e-05 0.00048828125 4.4389206e-05 0.00022194603 4.4389206e-05 0.00022194603 0.00031072443 0.00026633524 8.877841e-05 0.00022194603 4.4389206e-05 8.877841e-05 0.00035511365 0.00035511365 0.00022194603 0.00013316762 8.877841e-05 8.877841e-05 8.877841e-05 0.00026633524 4.4389206e-05 0.00013316762 0.00035511365 0.00013316762 0.00017755682 0.00017755682 0.00026633524 0.0059925425 0.0011985085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09377325 0.008858817 0.010509673 0.0043480285 0.0058361236 0.0058361236 0.033947174 0.023367746 0.0009300595 0.000906808 0.0004185268 0.00011625744 4.6502977e-05 0.00013950893 0.00032552084 0.0011160715 0.25764975 0.048944384 0.037923176 0.014671689 0.009254092 0.013718378 0.035853796 0.039271764 0.0024879093 0.0023484002 0.0019763764 0.0014183407 0.000906808 0.0015113468 0.0009300595 0.0073242188 0.06077939 0.0040225075 0.002999442 0.0034877232 0.00281343 0.0014415922 0.0016276041 0.003813244 0.0051850816 0.001813616 0.0018833706 0.0013253348 0.0009765625 0.00109282 0.0012323288 0.00074404763 0.0968657 0.020228794 0.012555803 0.008533296 0.011276972 0.009626116 0.040248327 0.025902158 0.0047898064 0.0012323288 0.0013950893 0.0014183407 0.0014415922 0.0007905506 0.0010230655 0.0007672991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 291.0 14.656358 4265.0 0.015474794 0.00023446658 0.0053927316 0.0011723329 0.00023446658 0.00023446658 0.0 0.0 0.00046893317 0.0 0.00023446658 0.0 0.0021101993 0.0025791326 0.018991794 0.0016412662 0.0075029307 0.004923798 0.0025791326 0.002813599 0.0025791326 0.0021101993 0.0035169988 0.0021101993 0.0014067995 0.0030480656 0.0016412662 0.0 0.005158265 0.0042203986 0.005158265 0.00070339977 0.00046893317 0.010550996 0.005158265 0.009378663 0.006096131 0.007268464 0.005158265 0.003985932 0.0021101993 0.005158265 0.00023446658 0.00093786634 0.0053927316 0.0058616647 0.0018757327 0.0011723329 0.009144197 0.002813599 0.007268464 0.015005861 0.0075029307 0.0011723329 0.0065650647 0.002813599 0.0018757327 0.0011723329 0.00070339977 0.0 0.0018757327 0.0 0.0 0.020867527 0.0016412662 0.03915592 0.01852286 0.022274327 0.021805393 0.11184056 0.0065650647 0.018991794 0.007737397 0.05978898 0.00070339977 0.005158265 0.031887457 0.027667057 0.05017585 0.058147714 0.014067995 0.0014067995 0.057444315 0.053692847 0.07971864 0.029073857 0.0058616647 0.0046893316 0.005627198 0.015709262 0.0025791326 0.0 0.0 0.00023446658 0.0 0.0 5.186106 0.0 0.0 0.0 1.0 22528.0 49152.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1543875700.0 0.0 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 19968.0 512.0 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 -19968.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -5.687282 0.0 4.197715 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 -19680.0 0.0 1484.0 0.0 0.0 0.0 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 27784.0 1484.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 28.0 27472.0 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: 0.0566457 0.008293022 0.006170348 0.005657015 0.00574809 0.004951182 0.004202916 0.005420012 0.0050515714 0.005632176 0.003755819 0.004466827 0.0049594613 0.0031721094 0.0043208995 0.004642768 0.0050339773 0.0037723782 0.0049325526 0.0041625528 0.0043550525 0.0031752144 0.0041045956 0.0038562086 0.0050650258 0.003353225 0.0031596902 0.0029351069 0.0041490984 0.0034360206 0.0037868673 0.0037879024 0.0061672432 0.0038293002 0.0034888028 0.0030292869 0.0048983996 0.004157378 0.0038375796 0.0037258056 0.0047214236 0.0038986416 0.003336666 0.0030996632 0.0043705767 0.003718561 0.0037237357 0.0035860878 0.005510052 0.0039431443 0.0031089778 0.0029040584 0.0036740582 0.0030696497 0.002685685 0.0028657655 0.0041697975 0.003315967 0.003522956 0.0033563299 0.004003171 0.003218682 0.003506397 0.0034525797 0.006593641 0.003944179 0.0036243808 0.003218682 0.0041646226 0.003218682 0.0035395152 0.003066545 0.004998789 0.0037734131 0.0037020019 0.0035860878 0.0041252947 0.0031296767 0.0035612492 0.003467069 0.005171625 0.0036295555 0.0036502546 0.0033418406 0.0039327946 0.0033853084 0.0033604696 0.0035312357 0.0046448377 0.0036430098 0.0038065314 0.0035115718 0.0041128756 0.0033822034 0.0036926873 0.0037858323 0.0059085065 0.0036243808 0.0033418406 0.0029495961 0.0039969613 0.0030541257 0.0032642197 0.0030334266 0.004979125 0.00316176 0.0031979831 0.0030510207 0.0035736684 0.002834717 0.0030768944 0.0031959133 0.0045051198 0.0032900933 0.0032290316 0.0031493406 0.0038913968 0.0033377009 0.0032911282 0.0036274856 0.0046220687 0.0032900933 0.003487768 0.0031648648 0.004041464 0.0031959133 0.003468104 0.0033459803 0.008644904 0.0045941253 0.0040124855 0.003523991 0.0043633324 0.0034329158 0.0030210074 0.0033811685 0.004542378 0.00383137 0.0029558057 0.0031907384 0.0037247706 0.0028015987 0.0028502413 0.0029785745 0.005224407 0.0032114375 0.0034929428 0.003026182 0.0036668137 0.0031865987 0.0033087223 0.0032621496 0.0045465175 0.0028409266 0.0030437761 0.002704314 0.003521921 0.003238346 0.0029868542 0.0031483057 0.0050091385 0.003410147 0.0032776739 0.0027943542 0.003774448 0.003007553 0.0030510207 0.003181424 0.0041325395 0.0030065181 0.003122432 0.0030179026 0.0036471495 0.0028409266 0.0029216525 0.003028252 0.0046593267 0.003121397 0.0038458593 0.002853346 0.0035674588 0.0031483057 0.0029930638 0.0031276068 0.004254663 0.0031483057 0.003331491 0.0031834939 0.0036461146 0.0031938434 0.0033335611 0.0033418406 0.0067199045 0.004066303 0.0037258056 0.0033439104 0.004123225 0.0032611147 0.0033087223 0.0032145423 0.0043198643 0.0033335611 0.0031089778 0.0030862088 0.003657499 0.0029765046 0.0030799992 0.0028026337 0.0042463834 0.0032807789 0.0030872438 0.0030003085 0.003716491 0.0030189375 0.002932002 0.0029454562 0.003981437 0.0031131175 0.0027312224 0.002642217 0.0035343405 0.002947526 0.0035767732 0.0028792198 0.0049532517 0.003236276 0.0033946228 0.0029827144 0.003811706 0.0030737896 0.0032031578 0.0029185477 0.004443023 0.0054541654 0.003466034 0.0031296767 0.0037847974 0.0030862088 0.0032518003 0.0031928085 0.004618964 0.0033242465 0.0034277411 0.003046881 0.00373305 0.0030903488 0.003317002 0.003239381 0.0043509128 0.0030323917 0.0031886685 0.0028688703 0.0040124855 0.003101733 0.004227754 0.0045123645 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4028.0 5.7028303 22971.0 0.017239127 0.010404423 0.009403161 0.00870663 0.013495277 0.012406948 0.011797484 0.011449219 0.01258108 0.009751426 0.008532497 0.008576031 0.0139306085 0.010665622 0.011710417 0.010056158 0.01671673 0.011928083 0.00870663 0.007531235 0.009838492 0.008488964 0.0078359675 0.008358365 0.010230291 0.0084454315 0.009577293 0.008880762 0.011536285 0.008924296 0.009620827 0.009185495 0.018022723 0.010839755 0.010404423 0.009011362 0.0108832875 0.00883723 0.010665622 0.008271298 0.014191807 0.011623351 0.009707892 0.008924296 0.011405685 0.009316094 0.011666885 0.00953376 0.014801271 0.0096643595 0.010012625 0.0090548955 0.012058683 0.009490226 0.00953376 0.009794959 0.013669409 0.009185495 0.010535022 0.00953376 0.011144486 0.009794959 0.010447956 0.010665622 0.017935658 0.011013887 0.0096643595 0.008184233 0.013059945 0.008227766 0.009403161 0.008358365 0.015410735 0.009272561 0.008880762 0.008663097 0.011318619 0.0080101 0.009882025 0.0078795 0.013147011 0.0080101 0.00870663 0.008924296 0.011536285 0.009403161 0.008314832 0.0080101 0.011013887 0.008880762 0.01201515 0.0084454315 0.011405685 0.0090548955 0.010012625 0.008750163 6.554659 0.0 0.0 0.0 14.0 966234.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0