Input: 0.08340501 0.011569428 0.011515672 0.0055905962 0.0063849865 0.008308248 0.004121273 0.0044856174 0.002878918 0.0031715883 0.010583906 0.003267154 0.0027534883 0.0029147554 0.002878918 0.004915663 0.0021800937 0.0033925842 0.0036255256 0.0026041667 0.01923858 0.0033866114 0.003225344 0.0024309538 0.0024847095 0.0025981937 0.0027475152 0.0023891437 0.0023055237 0.002932674 0.0030700497 0.0063491496 0.004276567 0.0020068807 0.0022338494 0.0030043481 0.0029028095 0.0035956614 0.002209958 0.0027654339 0.018145546 0.004252676 0.002460818 0.003559824 0.002544438 0.004748423 0.0030043481 0.0026519496 0.0023174693 0.0025802753 0.0024667908 0.0023652522 0.0025743023 0.002586248 0.0023174693 0.0026459766 0.0020546636 0.0022577408 0.0024369266 0.002419008 0.002807244 0.0029505924 0.0037927658 0.0060923165 0.0068867067 0.0030640769 0.0022338494 0.0027952981 0.0018575592 0.014197486 0.0025265196 0.0030461582 0.002078555 0.0037867927 0.0037270642 0.004127246 0.0015111334 0.002162175 0.0021084193 0.0033686927 0.0067134937 0.013289612 0.00390625 0.002801271 0.0020307722 0.0022039851 0.0022637136 0.0036553899 0.0019172878 0.0022935779 0.0046110475 0.0027534883 0.002460818 0.002419008 0.0023114965 0.006331231 0.0016962921 0.00394806 0.002669868 0.0034642585 0.0027295968 0.005656298 0.002371225 0.0038524943 0.0039958428 0.0060505066 0.002078555 0.003954033 0.0038047114 0.0039361143 0.00386444 0.0074959383 0.002460818 0.0022935779 0.0041690557 0.005166523 0.0053277905 0.003912223 0.002460818 0.003052131 0.0036314984 0.0030401854 0.0027534883 0.0042705946 0.004085436 0.0029924025 0.0052800076 0.007042001 0.008487433 0.0024787367 0.0035000956 0.0026161124 0.0016066992 0.0022935779 0.002681814 0.0029565655 0.0023533066 0.0021920393 0.014054138 0.0022457952 0.0023473338 0.0028251624 0.0025265196 0.0037270642 0.0020905007 0.0024130351 0.0036912272 0.0023951165 0.0032611813 0.0018874236 0.0037748471 0.0024906823 0.0015171063 0.0015350248 0.0026638953 0.0021681478 0.0015111334 0.0022398222 0.002878918 0.0036195528 0.0077766627 0.001911315 0.01334934 0.002878918 0.0044139433 0.0039659785 0.0021562022 0.0025802753 0.002681814 0.002496655 0.0016186449 0.0023533066 0.0018515864 0.0024309538 0.0023592794 0.004551319 0.001994935 0.0021024465 0.0022219038 0.0023951165 0.004838016 0.0028132168 0.0024667908 0.0034523127 0.002042718 0.0020128535 0.0025324924 0.0018396407 0.0026101395 0.002162175 0.0035120412 0.005727972 0.0022577408 0.0034224484 0.0024727636 0.0033866114 0.0028729453 0.0027057054 0.002586248 0.0035419057 0.0020546636 0.0022457952 0.002000908 0.0021323108 0.001779912 0.0018814506 0.0018993693 0.0028609997 0.0027236238 0.0033209098 0.003523987 0.0027415424 0.0027534883 0.0021562022 0.0026937595 0.0031596427 0.0019829893 0.0023891437 0.0034523127 0.0029864297 0.0018575592 0.0023533066 0.0026161124 0.0041332184 0.0039241686 0.004109327 0.0042168386 0.0038106842 0.002162175 0.0017321293 0.0021323108 0.0027714067 0.0027952981 0.0026937595 0.0031238054 0.002544438 0.002890864 0.0033029912 0.002424981 0.002968511 0.006379014 0.0047782874 0.0023533066 0.001994935 0.0029983753 0.0030939411 0.003930141 0.0028669725 0.008905534 0.002496655 0.00357177 0.0042287842 0.0061400994 0.0052501434 0.007047974 0.010601825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016294125 0.0016788435 0.001953125 0.00048828125 0.00086504145 0.0010006751 0.004222729 0.0037193769 4.822531e-05 5.123939e-05 9.645062e-05 3.3154898e-05 3.918306e-05 0.00016276042 3.918306e-05 0.00017180266 0.029643495 0.0024504485 0.0027910396 0.0011182243 0.002173153 0.002546899 0.011272666 0.00789388 0.00035867572 0.00014467593 0.00022907021 0.0001808449 0.000108506945 0.00020797165 0.00018988716 0.00041895738 0.007872782 0.00039183063 0.00038580247 0.0005274643 0.00023509839 0.00013261959 0.00017783082 0.000331549 0.00039183063 0.00030743633 0.00032552084 0.00042498554 0.00025619694 0.00014769 0.00022002797 0.00021701389 0.0028874904 0.00077160494 0.0003797743 0.0001657745 0.00012357735 0.00025016878 0.0007565345 0.0004973235 0.0002320843 3.0140818e-06 5.7267553e-05 9.042245e-06 9.042245e-06 9.042245e-06 1.2056327e-05 9.042245e-06 0.0047743055 0.00091628084 0.00058171776 0.00050937984 0.00051842205 0.0004973235 0.002326871 0.0011483652 0.00029538 0.00012056327 0.00024112655 0.00012960551 6.6309796e-05 4.5211225e-05 8.138021e-05 9.343654e-05 0.0028302227 0.00023509839 0.00023811247 0.00021701389 0.0002983941 0.00028935185 0.0003797743 0.00023811247 0.00025318286 0.00016276042 0.00025619694 0.00012056327 0.00012659143 0.000108506945 0.00018687308 0.0002320843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0058051217 0.0018265336 0.0015070409 0.0013111256 0.0012960552 0.001217689 0.0024685329 0.0019651814 0.0009645062 0.0007595486 0.0010398582 0.0008168162 0.0007444782 0.0007987317 0.0008198302 0.0013503087 0.09373493 0.05718316 0.05654116 0.04047912 0.054389104 0.056523077 0.039626133 0.04612751 0.05687271 0.03895098 0.057650343 0.043402776 0.039101683 0.043776523 0.046477143 0.07484266 613.0 12.411093 7608.0 0.015904311 0.0027602524 0.0046004206 0.0032860148 0.002891693 0.0027602524 0.0026288119 0.0027602524 0.0034174554 0.003548896 0.0024973713 0.0015772871 0.0063091484 0.006046267 0.01774448 0.0032860148 0.009595163 0.0064405887 0.0077549946 0.0047318614 0.0061777076 0.0065720296 0.0036803365 0.0047318614 0.0032860148 0.0043375394 0.0046004206 0.0021030493 0.0047318614 0.009200841 0.0046004206 0.0059148264 0.0042060986 0.0124868555 0.009200841 0.014721346 0.009858044 0.0077549946 0.0074921134 0.0047318614 0.0027602524 0.008280757 0.003548896 0.0046004206 0.0024973713 0.003811777 0.0044689802 0.0042060986 0.009595163 0.0044689802 0.009200841 0.014458464 0.008280757 0.0042060986 0.0049947426 0.0064405887 0.0019716087 0.0036803365 0.0031545742 0.0030231336 0.003548896 0.0022344901 0.0013144059 0.015904311 0.0030231336 0.036277603 0.013932702 0.019321766 0.015904311 0.07321241 0.008675079 0.019190326 0.0056519452 0.045215562 0.0023659307 0.010383806 0.03548896 0.023264984 0.033123028 0.03995794 0.0105152475 0.0047318614 0.035226077 0.040878024 0.06059411 0.027471082 0.0065720296 0.007360673 0.008412197 0.021030495 0.0046004206 0.00065720297 0.0031545742 0.0040746583 0.0039432175 0.0042060986 5.8705187 1.0 0.0 0.0 1.0 167424.0 196608.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1508400000.0 0.0 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 164864.0 512.0 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 -164864.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.564345 0.0 4.27867 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 -164656.0 0.0 1452.0 0.0 0.0 0.0 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 172760.0 1452.0 180224.0 0.0 0.0 0.0 0.0 12.0 188416.0 28.0 172448.0 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: 0.06328125 0.006675092 0.0046300553 0.0039981618 0.00423943 0.0037568933 0.0041245404 0.0033318014 0.0045955884 0.0035960479 0.0036420038 0.0036649816 0.004273897 0.003848805 0.003929228 0.004561121 0.0048598344 0.0032628677 0.0033203126 0.0032398896 0.0034352022 0.003952206 0.0036534925 0.003492647 0.0036305147 0.0033892463 0.0034352022 0.0033318014 0.0032628677 0.003056066 0.0037224265 0.0033892463 0.0040670955 0.0029526656 0.0036305147 0.0030445773 0.0043772976 0.0037568933 0.0034122244 0.003159467 0.0033547794 0.0033088236 0.003504136 0.0035615808 0.0037454043 0.0033088236 0.004044118 0.003136489 0.0038028492 0.0033777573 0.00390625 0.0048828125 0.0036994484 0.0036190257 0.0033318014 0.003492647 0.0035615808 0.003986673 0.0036994484 0.003848805 0.003538603 0.0032858455 0.003492647 0.0036879596 0.00390625 0.0032858455 0.0037454043 0.003481158 0.0032054228 0.004813879 0.0037454043 0.003159467 0.0034581802 0.003492647 0.0034237131 0.0032743567 0.0037798714 0.003538603 0.0036764706 0.003469669 0.0041360296 0.0036879596 0.003469669 0.003481158 0.0034122244 0.00402114 0.0039981618 0.0035730698 0.003136489 0.0034466912 0.0038028492 0.0032743567 0.0037454043 0.003883272 0.0037798714 0.0038717831 0.0030215993 0.003894761 0.003929228 0.0037568933 0.003940717 0.0048368564 0.0048598344 0.0034122244 0.0041015623 0.0042624082 0.00402114 0.0034581802 0.003986673 0.0033318014 0.004331342 0.0041819853 0.0037798714 0.003515625 0.004779412 0.0040096506 0.005124081 0.005147059 0.0034581802 0.0034122244 0.0037109375 0.0028377757 0.0039751837 0.0032743567 0.0034122244 0.003538603 0.0037683824 0.0029986214 0.003883272 0.00435432 0.0036420038 0.0044462318 0.0033203126 0.004296875 0.0037568933 0.0034352022 0.0033777573 0.004159007 0.0036879596 0.0072035845 0.003550092 0.0042049633 0.003182445 0.003125 0.0036075367 0.003056066 0.0033892463 0.0030101102 0.0033318014 0.0032628677 0.0032973345 0.0029411765 0.003170956 0.003182445 0.0035960479 0.0032973345 0.0033547794 0.0031939337 0.003538603 0.003113511 0.0029181985 0.0033432904 0.0038602941 0.0032513787 0.003159467 0.0032054228 0.0037339155 0.0035730698 0.0033318014 0.0032054228 0.0036994484 0.0030445773 0.0030790442 0.0031939337 0.003550092 0.003527114 0.0029526656 0.003056066 0.0036190257 0.0030215993 0.0032858455 0.0033203126 0.0036649816 0.0033547794 0.003469669 0.0032973345 0.0037454043 0.0034581802 0.0032169118 0.0029871324 0.0041819853 0.003159467 0.0045381435 0.003848805 0.0036534925 0.0040785847 0.0036190257 0.0032169118 0.0041819853 0.0033892463 0.003481158 0.0038258273 0.0041130516 0.0036879596 0.0065027573 0.003492647 0.0042279414 0.0035730698 0.0032743567 0.003113511 0.00390625 0.0032513787 0.0030675551 0.0033777573 0.003986673 0.0035730698 0.003492647 0.0032169118 0.0033547794 0.003527114 0.0033892463 0.0032628677 0.003527114 0.0032284008 0.0034352022 0.0033432904 0.0036420038 0.003159467 0.0035960479 0.0032858455 0.0037913602 0.0029756434 0.0045036767 0.003550092 0.0036190257 0.003917739 0.003837316 0.0032513787 0.0034122244 0.0030905332 0.0035845588 0.003504136 0.0037683824 0.003492647 0.003837316 0.0032628677 0.004319853 0.0040556067 0.0035960479 0.003492647 0.0036649816 0.003056066 0.003952206 0.0036305147 0.0045381435 0.008007812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009771438 6.3941596e-05 9.3005954e-05 0.0011044457 5.231585e-05 6.975447e-05 0.00011044457 8.719308e-05 7.556734e-05 5.812872e-05 7.556734e-05 8.719308e-05 5.812872e-05 6.975447e-05 6.3941596e-05 6.3941596e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015177409 0.00037202382 0.000773112 0.0015171596 0.0005987258 0.0004127139 0.0020054409 0.00096493674 0.00046502976 0.00018019903 0.0002092634 0.00031970796 0.00022088914 0.00015113468 0.00025576638 0.00018601191 0.0070219496 0.00028483072 0.00023251488 0.00024414062 0.00013369606 0.00024414062 0.0002673921 0.00025576638 0.00067429314 9.8818826e-05 0.00015694754 0.00032552084 0.00069173175 0.00037202382 0.0003313337 0.00056966144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010468982 0.00045921688 0.00084286643 0.0007498605 0.0011800131 0.0010753813 0.003261021 0.0018019903 0.00065685454 0.0002673921 0.0003313337 0.00031970796 0.0006684803 0.000273205 0.00040108818 0.0010521298 0.009288969 0.0009416853 0.00067429314 0.0007498605 0.0010346912 0.0010056269 0.00281343 0.0018310547 0.0013427734 0.00032552084 0.0004127139 0.0004185268 0.0011800131 0.00045921688 0.0006336031 0.00069754466 0.005795433 0.00109282 0.0010463169 0.0011160715 0.0013485863 0.0016159784 0.0009591239 0.0012788319 0.0026739212 0.00013369606 0.00015113468 0.0002906436 0.0024414062 0.0003313337 0.0008893694 0.0026448567 0.012799944 0.0032552083 0.0016973587 0.0030691964 0.0025227864 0.0032435826 0.0023774647 0.0028889973 0.006911505 0.0006626674 0.0012090774 0.0015985398 0.00625465 0.002272833 0.0029703777 0.0057896203 0.052269347 0.050258093 0.051124208 0.050949823 0.05072312 0.051281158 0.05159505 0.05189151 0.051153272 0.050874256 0.051310223 0.05060105 0.052304223 0.050868444 0.05114165 0.053083148 413.0 6.7966104 2807.0 0.012468828 0.004631279 0.0057000355 0.0074812965 0.006056288 0.010687566 0.005343783 0.006056288 0.006056288 0.0049875313 0.00641254 0.00641254 0.008193801 0.0074812965 0.011756323 0.008193801 0.0074812965 0.008906306 0.008193801 0.013893837 0.008550053 0.008193801 0.007837549 0.0057000355 0.010687566 0.013893837 0.011043819 0.011756323 0.011756323 0.004631279 0.008193801 0.0074812965 0.008906306 0.007837549 0.00641254 0.010687566 0.00641254 0.008550053 0.009262558 0.010331315 0.010331315 0.013537585 0.0071250447 0.009262558 0.010331315 0.0067687924 0.008193801 0.008193801 0.011400071 0.0071250447 0.0067687924 0.01282508 0.009262558 0.008550053 0.011400071 0.011400071 0.0074812965 0.0071250447 0.010331315 0.0074812965 0.008193801 0.007837549 0.00641254 0.014962593 0.0074812965 0.015675098 0.008193801 0.017100107 0.019950125 0.03847524 0.012468828 0.008193801 0.01282508 0.019593872 0.011400071 0.00961881 0.018881368 0.015675098 0.022800142 0.025293909 0.016387602 0.0071250447 0.022800142 0.017100107 0.02885643 0.0131813325 0.0071250447 0.008193801 0.010687566 0.008906306 0.0071250447 0.0057000355 0.0074812965 0.0067687924 0.007837549 0.0042750267 6.4286203 0.0 0.0 0.0 8.0 87040.0 98304.0 1.0 0.0 45.0 0.0 1.0 0.0 0.0 0.0 1236511900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 8.0 0.0 6.0 0.0 5.0 1.0 8192.0 1024.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -75264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 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 -7.9666753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.798597 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3653474 0.0 3.4184618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7842.0 0.0 1048.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 10788.0 1048.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4336.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4760.0 0.0 0.0 200.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0077096806 0.003920168 0.003878015 0.0039189286 0.003911013 0.0039459183 0.003935523 0.0039833984 0.0039155907 0.0038755354 0.003893751 0.0039009037 0.0039202636 0.0038905083 0.0038756307 0.003898424 0.0038585595 0.0038691456 0.0038425375 0.0038762984 0.0038829742 0.0038753448 0.0038559847 0.003859418 0.003814785 0.003791324 0.0038497855 0.0038387228 0.0038773473 0.0038706716 0.003842633 0.0038779196 0.00399284 0.0038383412 0.003854268 0.0038808761 0.004135227 0.0038914622 0.003853505 0.0038572245 0.0038912713 0.003861516 0.0038090628 0.0038965167 0.003878492 0.0038338588 0.003876203 0.0038610392 0.0038691456 0.003894514 0.0038616115 0.0039195963 0.0038895546 0.0038303302 0.0038727697 0.0038771566 0.0038559847 0.0038668567 0.0038749631 0.0038696225 0.0038840233 0.0038742002 0.0038757261 0.0038508347 0.0040061916 0.0038962306 0.004152012 0.0038909852 0.0039171167 0.0039065303 0.0038957538 0.0038917481 0.0038667615 0.0038759168 0.0038956583 0.0038302348 0.0038565567 0.003879827 0.0038830696 0.00387029 0.003871053 0.0038484505 0.0038684781 0.0038997594 0.0039057676 0.0038851677 0.00387544 0.0038800177 0.003855603 0.0038422514 0.0038540773 0.0038889826 0.0038463522 0.0038802086 0.0038611346 0.00388965 0.0038691456 0.0038894594 0.0038802086 0.0038749631 0.00388059 0.0039256043 0.0038665705 0.0038832603 0.0038624697 0.003879064 0.0039121574 0.0038688595 0.003879827 0.0038975659 0.0038902224 0.0039109173 0.0038620883 0.0038565567 0.0039155907 0.0038886964 0.0039501144 0.0039601284 0.0038497855 0.0038954676 0.0039212173 0.0038587505 0.0038766798 0.0038998546 0.0038858354 0.003905672 0.0038779196 0.003872579 0.0038886964 0.003867429 0.0038448265 0.003915972 0.0038605623 0.003883451 0.0038618022 0.003902525 0.0038295672 0.003913588 0.003905672 0.004085635 0.003936572 0.0039289426 0.0038824973 0.0038935603 0.0038757261 0.003869527 0.0038778242 0.0039034786 0.0039106314 0.0038874566 0.0038938464 0.003827946 0.0038507392 0.0038487366 0.003842919 0.0038684781 0.003873628 0.0038840233 0.0038729603 0.0038719114 0.003839581 0.0038797318 0.0038707668 0.003902525 0.003883642 0.003878015 0.0038561753 0.00384702 0.00386514 0.0038654262 0.003906149 0.0038505485 0.004156399 0.0038706716 0.0038537912 0.003873628 0.0038593225 0.0038712437 0.0038444449 0.0038603717 0.0038577965 0.0038485457 0.0038659985 0.0038589411 0.0038707668 0.0038686688 0.0038540773 0.003821747 0.0038838326 0.003872579 0.0038503578 0.0038478782 0.0039036695 0.0038575106 0.0038605623 0.0039351415 0.0038679058 0.0038676197 0.0038835465 0.0038457802 0.0038366246 0.0038839278 0.0038493087 0.0038562708 0.0038639002 0.0038749631 0.0038742956 0.0038597041 0.003922553 0.0038801131 0.0038771566 0.0038345265 0.0039044323 0.003892225 0.0038715298 0.0039021436 0.003879827 0.0038605623 0.0039256043 0.0039022388 0.0039194054 0.00388574 0.0039240783 0.003852742 0.003948016 0.003861516 0.0039127297 0.0039062444 0.0038953724 0.0038572245 0.0038567476 0.0038554124 0.0039849244 0.003892225 0.003879827 0.0039047184 0.0038634234 0.0038522652 0.0038644725 0.0038664753 0.0039142556 0.0039027156 0.004155636 0.0038917481 0.0038738188 0.0038413932 0.0039046232 0.0038812575 0.0038765843 0.0038472107 0.0038456847 0.003841679 0.0038811623 0.003842633 0.0038969936 0.0057980916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.228601e-05 8.107815e-07 9.061676e-07 3.338512e-07 3.338512e-07 6.200094e-07 3.338512e-07 1.4307909e-07 2.3846516e-07 3.338512e-07 4.2923728e-07 9.538606e-08 2.3846516e-07 5.7231637e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024051596 2.5754237e-06 9.538606e-07 2.2415725e-06 1.8123352e-06 1.2877118e-06 1.0015536e-06 2.1938795e-06 5.1031543e-06 1.4307909e-06 9.538606e-07 7.1539546e-07 1.8123352e-06 8.107815e-07 1.526177e-06 2.8091195e-05 7.344727e-05 1.3354048e-06 1.3354048e-06 7.1539546e-07 5.246233e-07 4.2923728e-07 6.200094e-07 7.630885e-07 3.2908192e-06 1.3830979e-06 1.4307909e-07 4.769303e-08 3.8154425e-07 2.3846516e-07 8.5847455e-07 1.2161723e-05 0.00028115042 2.7661958e-06 1.621563e-06 2.6708096e-06 1.57387e-05 2.8138888e-06 1.416483e-05 4.483145e-06 1.0301695e-05 5.0554613e-06 2.1938795e-06 1.3497128e-05 1.1923257e-06 8.107815e-07 1.7169491e-06 3.052354e-05 0.00034086208 4.435452e-06 1.4594068e-05 2.3369585e-06 2.2224953e-05 5.2462333e-06 7.306573e-05 3.4148212e-05 3.28605e-05 1.5643314e-05 1.1923257e-06 9.729379e-06 1.0969397e-06 6.677024e-07 1.0969397e-06 2.6851176e-05 0.0006484821 1.3258663e-05 5.1222316e-05 1.1398634e-05 4.297142e-05 1.5834086e-05 7.4973446e-05 3.4482062e-05 5.193771e-05 9.7627635e-05 6.743795e-05 2.723272e-05 1.0587853e-05 0.00012228492 0.00010053691 0.0002902121 0.00036737943 6.390866e-06 4.545146e-05 1.1398634e-05 3.052354e-05 9.204755e-06 6.02363e-05 2.6374246e-05 4.1302166e-05 5.8662426e-05 4.1636016e-05 1.902952e-05 8.298587e-06 9.4146046e-05 6.114246e-05 0.00019325216 0.0008529422 3.252665e-05 0.00022015104 7.578423e-05 8.5227446e-05 2.3083427e-05 8.885212e-05 5.308234e-05 9.471836e-05 0.00013072659 0.00020984934 1.9124906e-05 2.3178813e-05 0.00011098168 0.00011932796 0.00069302745 0.0006116154 2.9188135e-05 0.00012137876 4.5212993e-05 0.00022806808 2.5706544e-05 0.00013239586 0.0001950645 4.6023775e-05 7.5402684e-05 0.00015056689 3.4195902e-05 8.8613655e-05 9.438451e-05 0.00013172816 0.00053001265 0.00029049825 2.313112e-05 5.7517795e-05 2.5849622e-05 7.578423e-05 1.0874011e-05 4.3639124e-05 6.271634e-05 2.0937241e-05 3.3718974e-05 6.467175e-05 2.3894208e-05 3.715287e-05 3.3528202e-05 3.90129e-05 0.00023150197 0.00020760777 2.422806e-05 3.495899e-05 2.8186581e-05 7.053799e-05 5.1699244e-05 2.9617373e-05 4.7406873e-05 9.8295335e-05 1.9792607e-05 2.751888e-05 2.0555697e-05 5.5466993e-05 3.839289e-05 5.2128482e-05 0.0001703595 0.0005851935 8.5227446e-05 0.00012414496 0.00011866026 0.00024285291 0.00022363263 0.000157387 0.00017460418 0.00035693464 4.5737615e-05 5.1985404e-05 7.406728e-05 0.00019630452 0.00012805579 0.00019177368 0.00036904868 0.061743684 0.061460387 0.06154032 0.061644815 0.061699808 0.061584674 0.061495394 0.06164367 0.061642382 0.06147603 0.061584007 0.06149735 0.061499115 0.061612956 0.06150307 0.061623354 48502.0 5.7332687 278075.0 0.01262609 0.010036861 0.010364111 0.010195091 0.010223861 0.010101591 0.010126764 0.010026072 0.010202284 0.010220264 0.010011688 0.010331745 0.0101735145 0.009993707 0.010166322 0.010281399 0.010198687 0.010479188 0.010119572 0.010335341 0.010648207 0.01011238 0.01001888 0.009828283 0.010385687 0.010202284 0.010252629 0.010047649 0.01041086 0.01027061 0.010155533 0.009817495 0.010137552 0.011079744 0.010133957 0.010047649 0.010608649 0.010482783 0.0105007645 0.010407264 0.009867841 0.010907129 0.010917918 0.009903803 0.010295783 0.010572687 0.010353322 0.010378495 0.01031736 0.010080014 0.010101591 0.010493572 0.010651803 0.010259822 0.010371302 0.010184303 0.01039288 0.010302976 0.009893014 0.010241841 0.010252629 0.01064461 0.009781534 0.010590668 0.010482783 0.011108514 0.0098462645 0.010727322 0.010576284 0.012759148 0.010511553 0.0101735145 0.01053313 0.010943091 0.010133957 0.010471995 0.01129911 0.010461207 0.010810033 0.011184033 0.010741706 0.010155533 0.011496899 0.0112703405 0.011665918 0.01106536 0.010223861 0.010144745 0.010511553 0.010026072 0.009993707 0.010195091 0.010543918 0.010159129 0.009975726 0.0102885915 6.5833707 0.0 2.0 0.0 172.0 10485519.0 204800.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41472.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 129536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 5.9112434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41424.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 129028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 129028.0 73728.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18639664 0.014699694 0.010895955 0.014737461 0.0164397 0.0060724923 0.00607519 0.005592304 0.005427745 0.0049934178 0.005883654 0.0045536947 0.0049313707 0.0040815994 0.0038846685 0.0036068067 0.004000669 0.003458434 0.004742533 0.0042947168 0.0029998273 0.0032048514 0.0033963872 0.0035204808 0.0038522962 0.002711175 0.003631086 0.003372108 0.0035150854 0.0027948031 0.003776761 0.0034611318 0.0038361102 0.0030214088 0.0024036386 0.0032642006 0.005773049 0.0035123879 0.0040492276 0.0025654999 0.003045688 0.0022822428 0.0038361102 0.0026437328 0.0036364812 0.002279545 0.004219182 0.0031778747 0.005635467 0.0037659702 0.0022498704 0.00719473 0.0025196392 0.0049367663 0.004766812 0.002900013 0.002562802 0.0021365676 0.002185126 0.0019989857 0.0021554516 0.0029458737 0.0025223368 0.003776761 0.016644726 0.0034395503 0.0022687544 0.0050824415 0.03277419 0.004105879 0.0032911776 0.0021257768 0.00249536 0.0035204808 0.0017130309 0.0024548946 0.0026059651 0.0026518258 0.0019881949 0.0021311722 0.0021797307 0.001729217 0.0016401934 0.0032102468 0.0024818715 0.0028379662 0.0024845693 0.002109591 0.0024117318 0.001540379 0.0018317291 0.002055637 0.0021797307 0.0023550803 0.0023901502 0.002797501 0.0041166698 0.005414257 0.0028622453 0.003819924 0.0024306155 0.0073700794 0.00216894 0.0024926623 0.002322708 0.0047209514 0.0017858684 0.0025843836 0.0039386223 0.0030187112 0.0041004834 0.0055383504 0.0030402925 0.0023442896 0.0055707227 0.004542904 0.005174163 0.0030133158 0.002298429 0.0020232648 0.0022228938 0.0027948031 0.0022471729 0.0027030818 0.0020799162 0.002641035 0.002090707 0.0023847548 0.004327089 0.002031358 0.0016617748 0.0017481009 0.001729217 0.0013515409 0.002220196 0.0019234505 0.0021797307 0.0028163847 0.0013731224 0.0016455888 0.001858706 0.0019126597 0.0016455888 0.0019126597 0.0014000993 0.0014081923 0.0032048514 0.0019153574 0.0016671702 0.0021878236 0.0021122885 0.0022768474 0.0022013122 0.0022876381 0.0018614037 0.0020961023 0.002236382 0.0014054946 0.0018020546 0.0019747065 0.0016590771 0.0013812155 0.0019908927 0.0017346124 0.0017831707 0.0012867964 0.0016509842 0.0019666133 0.0015862397 0.0014324716 0.0030402925 0.0024171271 0.0019639158 0.002055637 0.002012474 0.0025358254 0.0029674552 0.001815543 0.0018209383 0.0017103332 0.0024225225 0.002487267 0.0023281034 0.0018802874 0.002141963 0.0022390797 0.0021581491 0.0019234505 0.0027084772 0.0022552658 0.0024468016 0.0024144293 0.0039278315 0.0021014977 0.0021365676 0.00206373 0.0023334988 0.0017615893 0.0019558226 0.0023550803 0.0016455888 0.0025250346 0.0021230793 0.0016590771 0.0020934048 0.0018694968 0.002047544 0.002668012 0.0018290314 0.0019827995 0.0018910782 0.001780473 0.0016671702 0.0025493137 0.0016509842 0.0022687544 0.0023254058 0.0018694968 0.0023820573 0.0017993569 0.0024063364 0.0017103332 0.0021365676 0.0024656854 0.002487267 0.0017400078 0.0020097764 0.0018371245 0.0019072643 0.0021473584 0.0020367533 0.002365871 0.0019423342 0.0013920062 0.0017588916 0.0023200104 0.002185126 0.002090707 0.0021878236 0.0021581491 0.0020610325 0.0021905215 0.001909962 0.0023766619 0.0017939615 0.0019935903 0.002503453 0.0022417775 0.0022687544 0.0024926623 0.0024683832 0.002228289 0.0022660566 0.0033154567 0.0031050371 0.039453663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.046374545 0.0003192088 0.0005613206 0.00037601715 0.00037466455 0.001061775 0.0005058648 0.00012173217 0.00030974075 0.00062624435 0.000875119 0.00024887465 0.00056267314 6.62764e-05 0.00012308474 0.00012443733 0.0048476453 3.516707e-05 6.0866085e-05 4.057739e-05 4.192997e-05 0.00010685379 5.1398027e-05 2.1641274e-05 3.3814493e-05 6.62764e-05 8.250736e-05 2.7051592e-05 6.492382e-05 9.468057e-06 2.5699013e-05 2.4346433e-05 0.0043133763 0.00022858597 0.00011632185 0.000119027005 0.00014202086 0.00012984764 0.00014202086 0.00010685379 3.651965e-05 2.9756751e-05 5.9513502e-05 5.5455766e-05 1.3525796e-05 1.4878376e-05 2.7051592e-06 2.9756751e-05 0.006289495 0.00050045445 0.00016907246 0.0002258808 0.00017177762 0.00018124568 0.00011361669 0.00010685379 8.791767e-05 7.30393e-05 3.516707e-05 8.791767e-05 5.6808345e-05 4.7340287e-05 8.115478e-06 0.00015554666 0.017331956 0.0012051484 0.0014432025 0.0008859397 0.00641799 0.0017380648 0.010686732 0.006139359 0.000119027005 0.00016501472 8.385994e-05 8.791767e-05 0.00015554666 0.00012443733 8.115478e-05 0.0004260626 0.038191438 0.006177231 0.0026348252 0.0018259825 0.017196698 0.0011131731 0.0023129112 0.0023399629 0.0007371559 0.0006654692 0.000569436 0.00089540775 0.0006384176 0.0007953168 0.0006654692 0.0063435985 0.034855977 0.0066722753 0.0037764024 0.0036654908 0.023560585 0.0014202086 0.0018449186 0.0013918044 0.00073580333 0.0007520343 0.00064788567 0.0007709704 0.00068440527 0.0005721412 0.0005450896 0.0067466674 0.02900607 0.0048151836 0.0036113877 0.0027011016 0.008298076 0.0016528523 0.0040239245 0.0021722429 0.0013525797 0.0007452714 0.00097115216 0.00071957236 0.000968447 0.0007114569 0.00065600115 0.004076675 0.042604905 0.004968025 0.0076244916 0.010581231 0.00322996 0.0019409518 0.00798563 0.005149271 0.0012592516 0.001470254 0.0013525797 0.0012362578 0.002310206 0.000994146 0.0010820638 0.00870385 0.01094778 0.0015297675 0.002088383 0.0035572844 0.002403534 0.0009603315 0.0021844162 0.0014323818 0.00068034756 0.00063435984 0.0006857579 0.0008372468 0.0006654692 0.000585667 0.00058296183 0.003465309 0.008702497 0.0022439295 0.003770992 0.0025117404 0.0014824272 0.0013052394 0.0012863033 0.0010090244 0.0007763807 0.0011564556 0.0009224593 0.002394066 0.0015919863 0.0009914408 0.0006708795 0.005195258 0.008879686 0.0044513396 0.004529789 0.0031920879 0.0026469983 0.0024089443 0.0030027267 0.0022561029 0.0024725157 0.002779551 0.002191179 0.003591099 0.0029662072 0.0035789257 0.0033963274 0.011368432 0.044808257 0.023663381 0.02311288 0.02466429 0.023536239 0.022301333 0.024500627 0.02487935 0.023813518 0.022958687 0.022094388 0.024861766 0.024677815 0.024311267 0.024807664 0.028210754 1853.0 12.559633 23273.0 0.014437331 0.0044686976 0.0047265072 0.007648348 0.0051561897 0.0055429037 0.005242126 0.003695269 0.002621063 0.0027069994 0.003523396 0.0049413485 0.017574012 0.0033944915 0.017574012 0.0051991576 0.020882567 0.01125768 0.0052850945 0.027714519 0.004855412 0.007261634 0.0033085549 0.0042538564 0.0022343488 0.00244919 0.0042538564 0.0016757617 0.0027069994 0.012804537 0.0043397928 0.0020195076 0.0009882697 0.007132729 0.00489838 0.011730331 0.023890344 0.0049413485 0.007949126 0.0033085549 0.005757745 0.007519443 0.0015038886 0.0031796503 0.006316332 0.0064882054 0.0032655867 0.003523396 0.0060155545 0.0016757617 0.0058866497 0.014867013 0.010570189 0.0033085549 0.0048124436 0.0025351266 0.0015038886 0.0011601427 0.0010742062 0.0016327933 0.002105444 0.0012890474 0.0016757617 0.011988141 0.00244919 0.04271044 0.014480299 0.024105186 0.018906029 0.08090921 0.007132729 0.013577966 0.008421776 0.040819835 0.0013749839 0.009152236 0.023073949 0.015597474 0.035964422 0.040132344 0.0086795855 0.005371031 0.051604863 0.03278477 0.057706356 0.019163838 0.008163967 0.005714777 0.00416792 0.014265458 0.004511666 0.001761698 0.001761698 0.0013320156 0.0016757617 0.002277317 5.781712 0.0 6.0 0.0 4.0 370688.0 393216.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542060000.0 0.0 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 363520.0 512.0 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 -363520.0 0.0 6144.0 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 -6.910672 0.0 4.173261 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 -363492.0 0.0 5964.0 0.0 0.0 0.0 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 371596.0 5964.0 376832.0 0.0 0.0 0.0 0.0 12.0 385024.0 28.0 371284.0 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: 0.05678616 0.008313586 0.006177348 0.005658592 0.005763381 0.0049593085 0.004201925 0.005425152 0.005048535 0.0056285043 0.0037516444 0.004467528 0.004958271 0.0031685627 0.004323314 0.004643905 0.0050433474 0.0037734322 0.0049312958 0.0041593867 0.0043617017 0.0031727126 0.004111661 0.0038450207 0.0050765476 0.0033563522 0.003159225 0.0029288973 0.0041541993 0.0034362408 0.0037921073 0.0037900324 0.0061742356 0.0038211579 0.0034829287 0.0030233108 0.004897058 0.004166649 0.003839833 0.0037184441 0.004732094 0.0038896336 0.0033283394 0.0030938617 0.004373114 0.0037277816 0.0037184441 0.00358253 0.0055143777 0.003950847 0.0031052744 0.0029029595 0.003677981 0.003072074 0.0026881944 0.002865609 0.004166649 0.0033190018 0.0035265044 0.0033532397 0.004005835 0.003218363 0.0035005666 0.0034518035 0.0066058408 0.003950847 0.0036178054 0.0032194008 0.0041573117 0.0032235507 0.0035451795 0.0030627362 0.0050018467 0.0037796572 0.0037008063 0.0035856424 0.0041241115 0.003122912 0.0035659298 0.0034621786 0.0051636985 0.0036219554 0.0036489307 0.0033366396 0.0039363215 0.003380215 0.0033605024 0.0035316919 0.0046542804 0.0036385555 0.0038076702 0.003501604 0.0041126986 0.0033864402 0.0036862812 0.0037879574 0.00590967 0.0036302556 0.0033366396 0.0029506849 0.004005835 0.003052361 0.0032619387 0.0030274608 0.004975909 0.003163375 0.003199688 0.0030554738 0.0035721548 0.0028282586 0.0030793366 0.0031986504 0.004507991 0.003286839 0.0032266632 0.0031405496 0.0038896336 0.0033262644 0.0032982517 0.003629218 0.004620042 0.003290989 0.0034767038 0.0031644125 0.004030735 0.0031924252 0.003469441 0.0033449396 0.008651815 0.004601367 0.0040182853 0.0035233917 0.004364814 0.0034279407 0.0030160483 0.0033864402 0.004538079 0.003831533 0.00295691 0.0031872378 0.0037277816 0.0027992083 0.0028458962 0.0029776604 0.005229062 0.003207988 0.0034984914 0.0030233108 0.003655156 0.0031768626 0.003305514 0.0032609012 0.0045453412 0.0028427837 0.0030367984 0.002703757 0.0035130167 0.0032245882 0.0029807729 0.0031488498 0.0050153346 0.0034175655 0.0032702386 0.002797133 0.0037744697 0.0030139731 0.0030513236 0.0031820503 0.004137599 0.0030004855 0.0031197995 0.0030118981 0.0036416682 0.0028324085 0.0029164471 0.003029536 0.0046750302 0.0031073494 0.0038429454 0.0028583463 0.0035617796 0.0031457373 0.0029880353 0.0031146118 0.0042538005 0.0031478123 0.0033345646 0.0031820503 0.0036489307 0.0031851628 0.003331452 0.003345977 0.00672308 0.004062898 0.0037236316 0.0033366396 0.0041168486 0.003246376 0.0033034391 0.0032225132 0.004333689 0.0033304144 0.003118762 0.003084524 0.0036458182 0.0029818104 0.003080374 0.002792983 0.004250688 0.0032723139 0.0030938617 0.0030035982 0.0037132564 0.0030253858 0.0029392724 0.00294446 0.003979897 0.0031083869 0.0027193197 0.0026352813 0.0035316919 0.0029382347 0.00357838 0.0028842841 0.004956196 0.0032318507 0.0033988904 0.0029745477 0.003805595 0.0030731114 0.003197613 0.0029091844 0.004443665 0.0054552397 0.003471516 0.0031395121 0.00379522 0.003086599 0.0032536385 0.0031872378 0.004613817 0.003323152 0.0034154905 0.0030409486 0.0037381568 0.003082449 0.0033221145 0.0032391134 0.0043492517 0.0030347235 0.0031882753 0.002869759 0.004014135 0.0030938617 0.0042257877 0.0045235534 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09927433 0.06202886 0.06245065 0.055323824 0.06059674 0.05954642 0.05492333 0.05445998 0.060450777 0.05313175 0.052112594 0.052933842 0.056413107 0.05053399 0.05666296 0.053837683 4017.0 5.7032614 22910.0 0.017110432 0.010475775 0.009340899 0.008729813 0.0134439105 0.0125272805 0.011828896 0.0114360545 0.01257093 0.009733741 0.008467918 0.008598865 0.013924051 0.0105194235 0.011785246 0.009995635 0.01671759 0.011916194 0.008773461 0.0075512878 0.009864688 0.008467918 0.007856831 0.008336971 0.010301178 0.008424269 0.009646443 0.008860759 0.011567001 0.008948058 0.009646443 0.009209952 0.01807071 0.010912266 0.010344828 0.009122654 0.010912266 0.008860759 0.01069402 0.008293321 0.014229594 0.01161065 0.009733741 0.008948058 0.0114360545 0.009384548 0.011741597 0.009559144 0.014797032 0.009646443 0.009951986 0.008991707 0.012047141 0.009384548 0.009559144 0.0097773895 0.013705805 0.009209952 0.0105194235 0.009559144 0.011130511 0.009821039 0.010388477 0.01069402 0.017939765 0.010999563 0.009690092 0.008206024 0.013094719 0.008249673 0.009384548 0.008336971 0.0154517675 0.00929725 0.008904409 0.008729813 0.011348756 0.007987779 0.009951986 0.007856831 0.013225665 0.007987779 0.008729813 0.00881711 0.0114360545 0.0094281975 0.008162375 0.00790048 0.010868616 0.008904409 0.011916194 0.008511567 0.011348756 0.008948058 0.010039284 0.008729813 6.554578 0.0 0.0 0.0 14.0 963844.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24068327 0.013551117 0.0054918514 0.004966818 0.013086462 0.0034468456 0.0034940985 0.0027879283 0.011968141 0.0016774824 0.0016958585 0.0015330982 0.0077914987 0.002533287 0.0015383485 0.004901189 0.0075394823 0.0015961021 0.0012207031 0.0010211903 0.0042763986 0.0051007015 0.0009791877 0.0012233283 0.0032158308 0.0014937206 0.00069829467 0.0008479293 0.0038957493 0.0010736937 0.0011156964 0.00081380206 0.005478726 0.00066154235 0.0011209467 0.0011944515 0.009765625 0.0015567247 0.0005985383 0.00070091983 0.0021788895 0.0009555612 0.0005434098 0.0019610005 0.0014648438 0.0006825437 0.0011918263 0.00053815945 0.0020266296 0.00091618364 0.0011183216 0.0047883065 0.0014989709 0.0009975638 0.00076917425 0.00053028396 0.0020817583 0.0029874411 0.0007534232 0.0034179688 0.0017929898 0.0020660071 0.0007901756 0.0010789441 0.00507445 0.0031265751 0.005436723 0.011209467 0.013396232 0.0132781 0.0041897683 0.0018796202 0.0030136928 0.0011655746 0.0005276588 0.0008400538 0.0027406754 0.007570985 0.0019032469 0.0010920699 0.011697749 0.0040585096 0.002236643 0.005483976 0.0025726648 0.003326088 0.0074134744 0.0060982653 0.0026645456 0.0027433005 0.0005722866 0.002171014 0.0019399992 0.0023180232 0.00476468 0.00312395 0.001312584 0.0019741263 0.00067729334 0.0013335854 0.0032237063 0.0051453295 0.0025542884 0.0008846816 0.0052398355 0.0021893901 0.007878129 0.0006142893 0.002672421 0.0010841944 0.002123761 0.002404654 0.0028299312 0.00070354505 0.0027301747 0.0019111224 0.013971144 0.012193905 0.0022760206 0.0029874411 0.0022130166 0.0009109333 0.00081642723 0.00065366685 0.0023626513 0.0026750462 0.0018638693 0.00090830814 0.0044549103 0.0026146674 0.0007297967 0.010390415 0.0026435442 0.0076654907 0.0017299857 0.00081642723 0.0032972111 0.012406544 0.0012259535 0.03456296 0.0011078209 0.011997018 0.0030399445 0.0006589172 0.0043472783 0.00040427587 0.0005486601 0.0010736937 0.0010028142 0.0006011635 0.0008295531 0.00040690103 0.0010684434 0.00075604836 0.0003360215 0.0004200269 0.00082167756 0.0003543977 0.0010920699 0.0004987819 0.0012522051 0.0011156964 0.0003937752 0.00080067624 0.0008400538 0.0011445732 0.00040427587 0.00035964802 0.0011550739 0.00056178594 0.0009030578 0.00048303092 0.0010290658 0.0005670363 0.0007796749 0.00040427587 0.001186576 0.0004436534 0.00079280074 0.00041740172 0.00090043264 0.00040690103 0.00085055444 0.000952936 0.003606981 0.0011183216 0.0005434098 0.0014307166 0.0012259535 0.0007061702 0.001921623 0.0008610551 0.00882319 0.003533476 0.0043971566 0.004832934 0.0026802965 0.00095818634 0.003375966 0.0040348833 0.0027616767 0.0030714467 0.0007744246 0.0011078209 0.004667549 0.00067729334 0.002782678 0.0014543431 0.0020266296 0.0010133148 0.0010815692 0.001344086 0.0010369413 0.0008400538 0.001031691 0.0015646002 0.002123761 0.00077704975 0.00048303092 0.0012574554 0.0014595934 0.0006641675 0.0005329091 0.0005565356 0.002375777 0.0009476857 0.0006956695 0.00061953964 0.0019636257 0.00076917425 0.0005827873 0.0006431662 0.018166162 0.0047909315 0.0011655746 0.0044759116 0.004420783 0.00051190774 0.0006011635 0.00058016216 0.0066311746 0.0027931787 0.001031691 0.001795615 0.0026146674 0.0013020834 0.0037539902 0.0015357233 0.0043997816 0.0011681998 0.000656292 0.0010264406 0.0059302547 0.002283896 0.004187143 0.05597383 0.021490956 0.0 2.6322439e-06 1.316122e-05 2.1057951e-05 3.9483657e-06 2.3690196e-05 7.896731e-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 0.004813058 9.4760784e-05 5.1328756e-05 3.0270805e-05 2.2374074e-05 2.2374074e-05 5.9225487e-05 5.0012633e-05 0.00011318649 1.8425708e-05 9.212854e-06 1.7109585e-05 1.5793463e-05 3.5535293e-05 1.7109585e-05 2.1057951e-05 0.009123358 0.00026454052 9.739303e-05 4.4748147e-05 0.00025401154 6.448998e-05 0.0002829662 0.00015398627 0.00018294096 4.2115902e-05 5.264488e-05 3.948366e-05 3.2903048e-05 3.1586926e-05 3.0270805e-05 8.4231804e-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 0.004049707 0.0001263477 9.212854e-05 4.3432025e-05 0.00030402417 3.421917e-05 2.8954682e-05 3.421917e-05 8.9496294e-05 3.948366e-05 2.632244e-05 9.739303e-05 0.00016451525 0.00015793464 3.421917e-05 6.843834e-05 0.04029044 0.0008396858 0.00096208515 0.00034877233 0.004369525 0.0009449756 0.0009094403 0.0006514804 0.0006172612 0.001068691 0.00056461635 0.0004988102 0.00058962265 0.0008725889 0.0011595035 0.0046116915 0.0318133 0.00082389236 0.0014911662 0.0006896479 0.002408503 0.001672791 0.0018425707 0.0015003791 0.001791242 0.00050670694 0.00035666904 0.00035535294 0.0006225257 0.0006133128 0.00061199674 0.004112881 0.02361781 0.0007844087 0.0009410272 0.00092523376 0.0044221696 0.0016359396 0.0064160945 0.0042260676 0.001037104 0.00053566165 0.0006054161 0.0008554793 0.002016299 0.0007804603 0.00056724856 0.0018465191 0.015557878 0.00089627906 0.0011660841 0.0009160209 0.0048525417 0.001187142 0.003465349 0.0025216897 0.0017175392 0.00037904314 0.0004974941 0.0010910651 0.00078177644 0.00040668168 0.0003948366 0.0019044285 0.018612597 0.0009699819 0.001478005 0.0014214118 0.0053605647 0.0025506443 0.0046656523 0.0031060479 0.0027928108 0.0009318144 0.0005119714 0.00093049824 0.00087653723 0.000518552 0.0018517836 0.0019386477 0.013866661 0.001220045 0.002168969 0.0013319154 0.00276254 0.001434573 0.0017925581 0.0015714497 0.003603542 0.0007804603 0.00097393023 0.002050518 0.0034758782 0.0010160462 0.0020518342 0.0030257644 0.071393035 0.01411146 0.0097287735 0.009441859 0.025793359 0.025669644 0.010110449 0.01819407 0.046667054 0.005610628 0.003678561 0.005733027 0.019797107 0.0060054646 0.019003484 0.040598415 0.06279744 0.014997209 0.011317333 0.011304172 0.025031324 0.026972603 0.01057504 0.018989008 0.039882444 0.0035443164 0.003843076 0.0046564396 0.020630213 0.006244999 0.016552866 0.038025394 0.0022045043 0.0010344719 0.0011344971 0.0011555551 0.0010318396 0.0011476583 0.0012042515 0.001110807 0.0011094909 0.0011318648 0.0011042263 0.0010765878 0.0010568459 0.0011292327 0.0011397616 0.0010963297 1421.0 11.134413 15822.0 0.013146252 0.0010112502 0.0030337505 0.0010744534 0.012071799 0.005498673 0.0005056251 0.0001896094 0.002401719 0.0005688282 0.00031601568 0.0024649221 0.0029073441 0.001959297 0.01068133 0.00094804703 0.0045506256 0.0024649221 0.004740235 0.004803438 0.0025913285 0.0005056251 0.0012640627 0.00063203136 0.0020857034 0.0038553912 0.0010744534 0.0025281254 0.0015168752 0.0013904689 0.00063203136 0.008153205 0.019403363 0.022879535 0.0049298443 0.025281254 0.02237391 0.012261408 0.010618127 0.010807736 0.006509923 0.009290861 0.0005056251 0.0010744534 0.010049298 0.00846922 0.00423461 0.00846922 0.01952977 0.007078751 0.010744533 0.025976488 0.011818986 0.006067501 0.019213753 0.016622424 0.0038553912 0.0018328909 0.00069523446 0.002844141 0.0057514855 0.0022121097 0.0036657818 0.005498673 0.0012640627 0.032486413 0.0063203136 0.01997219 0.02035141 0.08229048 0.005056251 0.011186955 0.009227658 0.03710024 0.005688282 0.0034761725 0.036468208 0.014663127 0.036405005 0.04481102 0.016812034 0.00044242194 0.038806725 0.022057895 0.065478444 0.016053597 0.0034129692 0.026924536 0.009164454 0.006193907 0.00094804703 0.0005056251 0.0016432815 0.0003792188 0.0013272659 0.00094804703 5.6715345 0.0 0.0 0.0 3.0 380928.0 421888.0 0.0 0.0 437.0 0.0 1.0 0.0 0.0 0.0 1042510400.0 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 272384.0 4096.0 4096.0 5.0 0.0 0.0 3.0 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 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -253952.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3193728 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6474638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5780425 0.0 4.4181924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39318.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -251743.0 0.0 53248.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 2.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 -2.0 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 0.0 -1.0 -2.0 0.0 2.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 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 1.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 2.0 -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 -2.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 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 308408.0 27528.0 348160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1804.0 258048.0 0.0 0.0 0.0 0.0