Input: 0.26156786 0.012875536 0.005892905 0.007192194 0.01165169 0.0043756706 0.0030260864 0.0033613867 0.011676838 0.0020620977 0.0022548954 0.0018609174 0.008206478 0.002824906 0.0011735515 0.0064545334 0.008223243 0.0019615076 0.002020185 0.000804721 0.004710971 0.0043337583 0.0009136937 0.00089692866 0.003948163 0.0011232564 0.0008131035 0.0008801636 0.0024057806 0.0011735515 0.0008801636 0.0012238466 0.0053396593 0.0012070816 0.0008550161 0.0013663493 0.012624061 0.0011232564 0.0006119233 0.000393978 0.001542382 0.000787956 0.0008131035 0.0020285675 0.0009891363 0.0009304587 0.00090531114 0.0006119233 0.002280043 0.0006622184 0.0007795735 0.0075526424 0.0013160541 0.0017100322 0.0006622184 0.0005280982 0.0021123928 0.0023051905 0.0009136937 0.0046522934 0.0018022398 0.0017603273 0.0008633986 0.00082986854 0.021149075 0.004551703 0.0009472237 0.002330338 0.007007779 0.010209898 0.00404037 0.0020620977 0.002623726 0.0013412017 0.00075442594 0.0010059013 0.0034703594 0.0054234844 0.0022884253 0.0009220762 0.0068065985 0.002791376 0.001953125 0.004392436 0.0026321083 0.0033697693 0.0061611454 0.004300228 0.0012573766 0.005071419 0.00042750806 0.0021123928 0.001232229 0.0033278568 0.0043589054 0.0029254963 0.00075442594 0.0021375401 0.0007041309 0.0013998793 0.0020285675 0.0050965664 0.0041577253 0.0006873659 0.003495507 0.0023722504 0.0058006975 0.00072089594 0.0020285675 0.0010729614 0.0022213655 0.0022548954 0.0017351797 0.0003185354 0.004182873 0.0026488735 0.013663492 0.013277897 0.0017770922 0.0012909067 0.0013747318 0.001198699 0.00042750806 0.0007628085 0.0021040102 0.0031099115 0.0015172345 0.0010897263 0.0044594957 0.002808141 0.0006873659 0.017217677 0.0034535944 0.008005298 0.00082986854 0.00034368294 0.0031015289 0.0129928915 0.0024728407 0.032356493 0.0010059013 0.009673418 0.0009472237 0.0010226663 0.0016765022 0.0003185354 0.0003017704 0.0006203058 0.0010645789 0.0007628085 0.0003185354 0.00026824034 0.0008885461 0.0025315182 0.0002514753 0.00022632779 0.0010394313 0.00033530043 0.00035206546 0.00026824034 0.0012741416 0.0023219555 0.00044427306 0.0012741416 0.0013831143 0.0009556062 0.00028500537 0.0002514753 0.001165169 0.00057001074 0.0007041309 0.00072089594 0.0010059013 0.0003185354 0.00034368294 0.0005280982 0.0011567865 0.00051971566 0.0003185354 0.00043589057 0.0007795735 0.0005364807 0.0008131035 0.0006203058 0.00196989 0.0008801636 0.0005029506 0.0005532457 0.0010813439 0.00079633854 0.0009388412 0.00082148606 0.0118864 0.0056414297 0.003118294 0.007921472 0.0042247856 0.0010561964 0.0039146324 0.005297747 0.002707551 0.0027829935 0.0007292784 0.0010645789 0.01114874 0.0003688305 0.00097237126 0.00075442594 0.0013998793 0.0012825241 0.0012573766 0.0014334093 0.000787956 0.0005113332 0.0009975188 0.0008885461 0.0016429721 0.0010813439 0.00072089594 0.0013914967 0.0013160541 0.00074604346 0.0008633986 0.0007795735 0.0032021191 0.0008466336 0.00057001074 0.0003855955 0.0025147533 0.0004023605 0.0009472237 0.00048618563 0.012364203 0.0028919661 0.0006538358 0.0063287956 0.0032440317 0.00064545334 0.00082148606 0.0007795735 0.0033027092 0.0020956276 0.0005783932 0.0015507644 0.002196218 0.00089692866 0.0044259657 0.002623726 0.0050462713 0.0024728407 0.0014585569 0.0028500536 0.006957484 0.0023051905 0.004727736 0.04357229 0.060699727 0.0 2.9721466e-05 1.6983695e-05 1.2737772e-05 8.491847e-06 7.218071e-05 2.5475543e-05 0.0 0.0 0.0 4.2459237e-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 0.015056047 0.00017408287 0.00011039402 0.00014011549 0.0002844769 0.0001613451 0.00076851225 0.00040336276 2.122962e-05 8.91644e-05 4.2459237e-06 5.0951086e-05 6.368886e-05 8.491847e-06 1.6983695e-05 3.8213315e-05 0.0074643344 0.000106148094 5.0951086e-05 3.8213315e-05 0.00028872283 8.067255e-05 0.00022503396 0.00013162364 3.8213315e-05 5.519701e-05 5.9442933e-05 2.5475543e-05 5.519701e-05 1.6983695e-05 4.245924e-05 1.6983695e-05 0.0136931045 0.00014011549 0.0001783288 0.0004076087 0.00023777173 0.000114639945 0.00090013584 0.00025475543 6.793478e-05 0.0004076087 2.5475543e-05 1.2737772e-05 0.00045006792 4.2459237e-06 1.6983695e-05 0.0004797894 0.006649117 0.0001613451 8.067255e-05 6.793478e-05 0.0004076087 0.000118885866 0.00024201766 0.00016983696 0.00011039402 8.067255e-05 0.00012737772 3.8213315e-05 0.00020380435 5.9442933e-05 6.368886e-05 0.000114639945 0.012245244 0.00054347824 0.0005986753 0.00029721466 0.0005944293 0.00025475543 0.000390625 0.0003226902 0.00039911683 0.00018682065 0.00025475543 0.0001783288 0.00025475543 0.00028023098 0.00018257473 0.0004076087 0.009315557 0.0002632473 0.00030570652 0.00022503396 0.0013289741 0.00045855978 0.0025348165 0.0013289741 8.491848e-05 8.91644e-05 0.00010190217 0.00010190217 9.341032e-05 0.00048828125 0.00016559103 0.00050526496 0.019543989 0.00096807064 0.0013714334 0.0006581182 0.0013756794 0.0012950068 0.00234375 0.0015455163 0.001613451 0.00030995245 0.00034391985 0.00026749322 0.0017917799 0.00027173912 0.0003736413 0.0007090693 0.010797384 0.00032693613 0.0013884171 0.00070057745 0.0022800611 0.0013586957 0.007871943 0.004199219 0.00036514946 0.00020380435 0.00034816575 0.00023777173 0.0002505095 0.0010190217 0.00035241168 0.0030825408 0.022393003 0.001061481 0.0010827106 0.0015497622 0.0015709918 0.0011039402 0.002237602 0.0012185802 0.0011633831 0.0012907608 0.0009977921 0.00084493886 0.0016856318 0.0012907608 0.0012185802 0.0027683424 0.01146824 0.00096807064 0.0013714334 0.0013204823 0.0018130095 0.0012737772 0.0027216373 0.0018045177 0.0013332202 0.00076851225 0.0007090693 0.00050951086 0.0013162364 0.0009723166 0.0009256114 0.0055069635 0.088217564 0.014890455 0.012240998 0.012890625 0.0328125 0.022575578 0.007370924 0.019310461 0.05342646 0.0039232336 0.0052691917 0.005230978 0.028269362 0.006058933 0.017225713 0.035504416 0.068108864 0.016690727 0.013387398 0.012368376 0.0273947 0.024371604 0.0093707545 0.019870924 0.043036684 0.0038298233 0.0052607 0.00512483 0.02922894 0.0067255436 0.016482677 0.037877887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 365.0 12.619178 4606.0 0.040816326 0.0021710813 0.0015197569 0.0023881893 0.008901433 0.0013026487 0.0 0.0015197569 0.0026052974 0.001953973 0.0034737298 0.0028224057 0.0013026487 0.0041250545 0.008250109 0.0013026487 0.009335649 0.0041250545 0.0043421625 0.007815892 0.0010855406 0.00021710811 0.0047763786 0.0010855406 0.0021710813 0.0028224057 0.00065132434 0.0017368649 0.0017368649 0.0010855406 0.00043421623 0.0015197569 0.0056448113 0.012158055 0.0049934867 0.012809379 0.009986973 0.0056448113 0.008684325 0.009552757 0.0067303516 0.0056448113 0.00065132434 0.00086843246 0.0075987843 0.007815892 0.015197569 0.0034737298 0.013894919 0.0043421625 0.009986973 0.019756839 0.014112027 0.0065132435 0.014329136 0.013243595 0.0017368649 0.0049934867 0.0010855406 0.0021710813 0.0030395137 0.0030395137 0.0032566218 0.0045592706 0.0028224057 0.041684758 0.007815892 0.024099002 0.022362137 0.087494574 0.0104211895 0.009986973 0.011506731 0.04385584 0.0047763786 0.003690838 0.029092489 0.012592271 0.04515849 0.047763787 0.01628311 0.0010855406 0.051237516 0.029092489 0.071428575 0.020408163 0.005427703 0.008250109 0.0104211895 0.0069474597 0.0026052974 0.0013026487 0.00086843246 0.0 0.00086843246 0.0017368649 5.587737 0.0 0.0 0.0 5.0 119296.0 86016.0 1.0 0.0 119.0 0.0 1.0 0.0 0.0 0.0 1175586700.0 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 7.0 10.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0773726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0499473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6435404 0.0 5.6656127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44446.0 0.0 10344.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 54864.0 10344.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 49664.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 53704.0 0.0 0.0 508.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.14399594 0.018988527 0.005649639 0.005677951 0.006561501 0.0050096777 0.002316818 0.0021733786 0.008734128 0.0017493517 0.002050692 0.0020415364 0.0030332645 0.002401802 0.0014341604 0.041578397 0.011551412 0.0043268963 0.001282645 0.0010873232 0.0025054258 0.0024141504 0.0013562663 0.0013108165 0.0048955367 0.0013939692 0.0010468502 0.0013769724 0.0017572866 0.0015406014 0.0013023651 0.0019982932 0.009369159 0.0028418396 0.0010220124 0.0010212612 0.021429159 0.0011299559 0.0006501965 0.0006723111 0.010288768 0.0028519344 0.00077786006 0.0017956467 0.0011438068 0.0008310101 0.0012220765 0.0012623146 0.005387316 0.0010615463 0.0009985362 0.003726939 0.001657372 0.00070832355 0.00056793593 0.0005955909 0.003361931 0.0014638812 0.0011453563 0.0035014267 0.0011473752 0.00082330994 0.00089369155 0.0017602446 0.008879164 0.018205503 0.00298049 0.0032114957 0.015550533 0.008836579 0.0016880789 0.0018017036 0.053682532 0.008357429 0.0013660794 0.0017337635 0.012581406 0.00440141 0.0015302718 0.0013995095 0.004473106 0.0011450276 0.0013190331 0.0019892782 0.003739663 0.0031670788 0.0015822012 0.0028229647 0.005017566 0.004916994 0.00078978593 0.0016820689 0.005514369 0.0016985493 0.0013230711 0.0030612012 0.00286602 0.0027758246 0.0009660921 0.0027051612 0.0027480288 0.005073204 0.006737948 0.0014649142 0.0025656188 0.0032597159 0.00057230255 0.00094397756 0.003465414 0.001572529 0.003458559 0.0035308658 0.003760275 0.0006663012 0.0037134634 0.0030508717 0.010597903 0.0046394113 0.0013935935 0.0012525016 0.0025188073 0.0015766608 0.000644797 0.00091097003 0.002376964 0.0013750003 0.00084838254 0.0012961674 0.0041872133 0.002153283 0.0007839638 0.00999926 0.0036756198 0.0060175573 0.0008147646 0.0010593865 0.0028114615 0.016463194 0.0006397731 0.037668295 0.0012772925 0.012784991 0.00076236576 0.00089622696 0.0028437178 0.0005924451 0.00064038346 0.00073349004 0.0012192124 0.00081781653 0.00056558836 0.00065183983 0.001476887 0.000599441 0.00044369997 0.0004980239 0.001119016 0.0005809418 0.0004392395 0.0005058649 0.0018217053 0.000587609 0.00061221205 0.0006316503 0.0009647774 0.0008155159 0.0006217434 0.00069071644 0.0016846514 0.0006425902 0.001190994 0.0006654091 0.0012711417 0.00068573945 0.00066033826 0.00092674606 0.0018349459 0.0005222043 0.0004883047 0.0005106071 0.0010369433 0.0005679829 0.0019295549 0.0011129122 0.0026547813 0.0011513192 0.0015001284 0.0008405884 0.0010385397 0.0007352742 0.00078809564 0.0009639323 0.0077695386 0.0057868334 0.0030567406 0.005316136 0.0044271396 0.0017329183 0.0038891123 0.004052554 0.0044224444 0.003025752 0.0018786116 0.002827519 0.021952162 0.0013698356 0.0018086525 0.0020711634 0.0038469022 0.0021353003 0.002067548 0.0016665277 0.0011716497 0.00093439926 0.0011662501 0.0012535815 0.0025381986 0.0015948314 0.0011043199 0.0016135185 0.0009260887 0.0007327388 0.0008406354 0.0010307925 0.0032242197 0.0015623404 0.0011168562 0.0010252522 0.0013305835 0.00087646005 0.0007761228 0.0008511057 0.011593059 0.0026096131 0.001053048 0.0032244076 0.002874988 0.0010182562 0.00077490206 0.0013330719 0.0028820308 0.0011017375 0.0014509694 0.0132909035 0.0010804211 0.0008886207 0.0016224864 0.0014349116 0.0029796448 0.0016017804 0.0013945795 0.0011509437 0.0012839597 0.0011488778 0.0018638215 0.024267899 0.008691115 1.1738659e-07 4.225917e-07 1.6434122e-07 7.277968e-07 2.1129586e-07 2.3477318e-07 2.817278e-07 2.3477318e-08 2.3477318e-07 7.043195e-08 4.6954636e-07 2.4651183e-06 9.3909273e-07 1.8781854e-07 5.094578e-06 0.0018359966 1.0330019e-06 2.7703234e-06 1.2912525e-06 4.1085304e-06 1.3851617e-06 1.3382071e-06 1.6903668e-06 2.3242544e-06 4.9302366e-07 7.9822877e-07 2.3712091e-06 1.8194922e-05 3.3572564e-06 1.1034339e-06 4.5006018e-05 0.0013230173 1.8547081e-06 2.7703234e-06 1.479071e-06 4.7893727e-06 2.7938008e-06 1.5729803e-06 3.4981203e-06 1.7138442e-06 9.860473e-07 4.9302366e-07 2.6294595e-06 2.8501463e-05 2.7233689e-06 2.2538225e-06 0.0001575328 0.0012545339 1.2208205e-05 2.030788e-05 3.263347e-06 9.179631e-06 2.0847858e-05 2.958142e-06 4.2493944e-06 5.5171695e-06 9.578745e-06 5.305874e-06 1.6199349e-06 4.531122e-06 1.6434122e-06 4.225917e-06 0.00022672045 0.0038762928 5.136837e-05 8.069154e-05 2.3266022e-05 0.00015034874 7.6019554e-05 2.3078203e-05 2.0941767e-05 3.0731808e-05 1.9204446e-05 1.3241207e-05 1.068218e-05 2.3923387e-05 5.5359516e-05 7.4681346e-05 0.00042256824 0.0057767583 0.00013267032 0.00018396827 3.3502132e-05 0.00024630054 0.00017929627 0.00014321164 7.655953e-05 3.2797812e-05 4.829284e-05 2.880667e-05 4.4583427e-05 9.254758e-05 6.881202e-05 0.00010827739 0.00068898883 0.009829977 0.000277408 0.00042385948 7.308489e-05 0.0004447543 0.00045078798 0.00022228324 0.00014628716 6.0360184e-05 0.0001930305 5.89985e-05 5.970282e-05 0.00017873282 4.9490187e-05 0.00021826861 0.0014489496 0.005434788 0.00024876566 0.0003468539 0.0001387979 0.00043620856 0.00022465445 0.0011988458 0.00054533116 8.625566e-05 0.000108629545 6.728599e-05 5.7378566e-05 0.00010144549 6.275487e-05 0.000110836416 0.0003993961 0.004668371 0.00015429292 0.0006969946 0.0006659811 0.002673057 0.0014619326 0.0069139292 0.0032850637 8.822776e-05 6.594779e-05 5.7425517e-05 4.9513663e-05 5.5101264e-05 6.618256e-05 6.237923e-05 0.00023956255 0.007853491 0.00034502265 0.0013344507 0.0009219073 0.0027974397 0.0015187946 0.0067595188 0.0033677039 0.0002286456 0.0001810336 0.00012670708 0.00012464108 0.0007457335 0.00014325859 0.00014476114 0.00066912704 0.013423719 0.0014363423 0.0018678788 0.0010159339 0.0017638743 0.0011400116 0.0044074673 0.0025548253 0.0005616244 0.00042644198 0.00037357106 0.000377797 0.0010711291 0.0003486851 0.00033269706 0.0010645555 0.020387115 0.0038233986 0.0029689886 0.0019871201 0.0030303348 0.0017438013 0.0035405909 0.0023786044 0.002192758 0.0010875867 0.0034345672 0.0010014954 0.0023075151 0.0012820258 0.0015654676 0.0020815928 0.030925144 0.005741613 0.0068758726 0.0024782657 0.014875298 0.0060081272 0.003930103 0.0029589636 0.009216772 0.001572276 0.0015839677 0.0017572067 0.009740128 0.003652014 0.004166848 0.0064031566 0.12340528 0.02486424 0.037588265 0.017151495 0.10526445 0.026903762 0.014438996 0.020982524 0.0780013 0.00763419 0.0066621113 0.011255847 0.052574214 0.015601288 0.023538148 0.039047826 0.013365848 0.0030988886 0.0048897616 0.0032170028 0.0134629505 0.0034366567 0.002168858 0.00342142 0.010524294 0.0014010089 0.0010925169 0.0020201998 0.0075156293 0.002410064 0.004081931 0.0056796796 0.0013190027 0.0009591658 0.0010275318 0.0010890423 0.0010480745 0.0010746038 0.00095397735 0.0008753048 0.00096604467 0.000978605 0.00096677244 0.00091061473 0.0009305 0.00087528134 0.00083382044 0.00086624257 89465.0 14.729403 1317766.0 0.037527908 0.0007163639 0.000553209 0.00044013883 0.021606265 0.0029686606 0.00035438765 0.0010532978 0.009303625 0.0046927906 0.00048187614 0.001447905 0.0013909905 0.0030240575 0.008739792 0.0012688141 0.0070475335 0.0026810525 0.00228341 0.0043513034 0.0020049084 0.0009887947 0.0012915798 0.00048415273 0.0035279405 0.0034141114 0.009870493 0.0064138854 0.0011231129 0.0009425042 0.0009827238 0.0048346976 0.020505158 0.04598161 0.005118511 0.009131364 0.015119528 0.01555056 0.0042496165 0.0042807297 0.022131395 0.009235327 0.0011565028 0.0010813756 0.010697651 0.0059289737 0.005576104 0.0035545006 0.009669395 0.0023084523 0.006450311 0.011725905 0.014221038 0.015881423 0.009401517 0.00900691 0.0044491966 0.001035844 0.0028328246 0.0023820617 0.008856656 0.008207072 0.0065527568 0.019648405 0.0028404132 0.035161022 0.0065724873 0.021300443 0.020008104 0.06629022 0.022133673 0.014364462 0.00965953 0.040186193 0.0012323888 0.0034072818 0.023934446 0.01351378 0.0439638 0.0330992 0.014069266 0.0008909017 0.03509576 0.028145362 0.053332686 0.015880665 0.005416743 0.005028966 0.006692387 0.011194704 0.0011967224 0.00043634453 0.003302559 0.00041281988 0.0004985711 0.0009971422 5.736495 75.0 12.0 0.0 40.0 21298176.0 22265856.0 1.0 3234.0 475.0 1.0 1.0 0.0 0.0 0.0 1502903800.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 2.0 5.0 2.0 16271360.0 1024.0 4096.0 11.0 0.0 0.0 1.0 2.0 0.0 0.0 -12288.0 0.0 0.0 -166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3055616.0 26624.0 -4608.0 0.0 0.0 826880.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -363008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16271360.0 0.0 567296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.870608 0.0 0.0 -4.355963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.700378 6.424596 -3.819348 0.0 0.0 6.8130655 0.0 -5.979828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.404395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.523261 0.0 1.6232044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12085.0 0.0 0.0 -166322.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3054881.0 26452.0 -4608.0 0.0 0.0 826572.0 0.0 -2824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1307296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16271020.0 0.0 566896.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 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 1.0 1.0 1.0 0.0 -2.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 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 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 0.0 0.0 -1.0 1.0 -1.0 -1.0 3.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -3.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 1.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 1.0 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 2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 -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 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 12.0 8.0 -1.0 -4.0 -5.0 4.0 -3.0 0.0 1.0 -1.0 -13.0 3.0 7.0 8.0 -3.0 4.0 3.0 -8.0 1.0 1.0 3.0 6.0 4.0 6.0 5.0 -5.0 -6.0 -1.0 5.0 7.0 -8.0 0.0 6.0 1.0 -10.0 4.0 2.0 -1.0 -5.0 -2.0 0.0 2.0 -4.0 -6.0 4.0 -4.0 5.0 0.0 4.0 -2.0 -9.0 1.0 -6.0 7.0 -6.0 -3.0 -9.0 -1.0 -5.0 2.0 8.0 -6.0 6.0 -2.0 1.0 6.0 -7.0 8.0 5.0 4.0 0.0 12.0 2.0 -6.0 -3.0 -6.0 -10.0 -2.0 -2.0 0.0 -3.0 -1.0 -1.0 -2.0 2.0 3.0 -6.0 -2.0 -3.0 5.0 6.0 -5.0 -2.0 1.0 -6.0 12.0 -8.0 -7.0 0.0 4.0 0.0 -6.0 -12.0 2.0 -5.0 -4.0 -3.0 -2.0 0.0 3.0 -1.0 8.0 -3.0 6.0 0.0 6.0 3.0 -7.0 -3.0 -2.0 -7.0 7.0 1.0 9.0 2.0 -1.0 6.0 9.0 205473.0 19126848.0 360.0 19114180.0 566896.0 21528576.0 826572.0 20643840.0 0.0 0.0 107256.0 22097920.0 28.0 16307200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3936.0 16277504.0 0.0 0.0 0.0 0.0


Input: 0.16940534 0.015366736 0.008571152 0.009588068 0.009571927 0.004180656 0.020645015 0.0079416325 0.013978564 0.004019241 0.0016948605 0.0020822573 0.0066018854 0.00253422 0.0020338327 0.01773954 0.0060369316 0.003115315 0.0015495868 0.0013558884 0.004148373 0.0039708163 0.0010169164 0.0010491994 0.0060207904 0.001404313 0.0011460485 0.014624225 0.002259814 0.0010330578 0.0009039256 0.0009039256 0.0045034867 0.0007909349 0.0007425103 0.0017432851 0.0037609763 0.0010653409 0.00092006713 0.0007586519 0.0014204546 0.0017594267 0.00085550104 0.0026633523 0.0011137655 0.002501937 0.0019854081 0.00080707646 0.003502712 0.0031960227 0.0029054752 0.007538094 0.0024212294 0.0010653409 0.0018562758 0.0014850206 0.002776343 0.0023728048 0.0017432851 0.0060369316 0.002195248 0.0018724174 0.0015011622 0.0019369834 0.004212939 0.0046326187 0.00253422 0.0043420712 0.0021468233 0.0110569475 0.004132231 0.0027602015 0.00274406 0.002017691 0.0010491994 0.0021145402 0.0019854081 0.0057141013 0.0020661156 0.0015173038 0.0031637396 0.0030668904 0.0011137655 0.0031637396 0.0018078513 0.0060530733 0.002986183 0.0028409092 0.0017917097 0.0015334452 0.0015495868 0.0024857954 0.0014204546 0.005649535 0.003357438 0.0032605887 0.0022759556 0.003502712 0.0021468233 0.0025826446 0.0032605887 0.0046487604 0.003631844 0.0019047004 0.0033735796 0.0033735796 0.002469654 0.0013881715 0.0036479856 0.002259814 0.0024373708 0.0026149277 0.002501937 0.0015011622 0.004180656 0.0036157025 0.008813275 0.008571152 0.002292097 0.0020015496 0.0017271437 0.001404313 0.0010814824 0.0012106147 0.0011621901 0.0027602015 0.0012913223 0.00087164255 0.0048586 0.0023728048 0.0010491994 0.012622676 0.0036964102 0.006747159 0.0027924846 0.0014688792 0.00823218 0.012719525 0.005988507 0.033945635 0.0015495868 0.007005424 0.0023889462 0.0010491994 0.0019047004 0.0012106147 0.0005165289 0.0007747934 0.0008393595 0.0008877841 0.001404313 0.001129907 0.0017432851 0.00064566114 0.00058109505 0.00058109505 0.0008393595 0.00046810435 0.0012428977 0.0009362087 0.0014527376 0.0011944731 0.00046810435 0.001436596 0.001129907 0.0007263688 0.0006940857 0.00092006713 0.0014527376 0.0010330578 0.0007747934 0.0007102273 0.0007909349 0.00062951964 0.0010653409 0.0010007748 0.0022436725 0.001097624 0.0009039256 0.0010491994 0.0013397469 0.0013074639 0.009555785 0.0020983987 0.0030184658 0.0021629648 0.0010007748 0.0012428977 0.0014527376 0.00080707646 0.0016302944 0.0011137655 0.006892433 0.006537319 0.00548812 0.0040515237 0.0013236054 0.0009846332 0.00274406 0.005584969 0.0030023244 0.0025826446 0.0018885589 0.0017594267 0.028409092 0.0017432851 0.002808626 0.0021791065 0.0038739669 0.0015011622 0.0021145402 0.0026633523 0.0016302944 0.0007586519 0.0016625775 0.0015980114 0.002808626 0.003938533 0.0013074639 0.0020983987 0.0018401343 0.0016302944 0.0015173038 0.0010491994 0.0053267046 0.0027924846 0.0026310692 0.0006940857 0.0018562758 0.0026472108 0.0012913223 0.0008393595 0.0067955838 0.0032283058 0.0015657283 0.0036157025 0.0044227787 0.00064566114 0.0010169164 0.0017271437 0.0048908833 0.0023405217 0.0015818698 0.0011621901 0.0060046487 0.0017110021 0.0040676654 0.0018885589 0.006472753 0.0017110021 0.00137203 0.0010491994 0.0076349434 0.0013881715 0.003841684 0.021048553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012529793 0.0013572563 0.00032276218 0.00032276218 0.00033931408 0.0002813824 0.00031448624 0.0002648305 0.00027310647 0.0001241393 0.0001406912 0.00013241525 0.0001406912 0.00013241525 0.0001406912 0.00013241525 0.011007018 9.103549e-05 0.00043034958 0.00045517745 0.0007282839 0.00034759004 0.00251589 0.0012662208 2.482786e-05 0.0 3.3103814e-05 1.6551907e-05 0.0 0.0 2.482786e-05 8.275953e-06 0.01918366 0.0016303628 0.0012910487 0.00036414195 0.0011503575 0.00061242055 0.005097987 0.0025738215 0.000355866 9.103549e-05 0.0001241393 0.0001241393 0.00018207097 0.00031448624 0.00033103814 0.00047172935 0.019870564 0.0007613877 0.0005710408 0.0027062367 0.0010427701 0.0007944915 0.001944849 0.0010096664 0.00046345338 0.00045517745 0.00044690148 0.00042207362 0.00096001057 0.00061242055 0.00057931675 0.001257945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027136851 0.002135196 0.0019862289 0.007125596 0.00177933 0.0016055349 0.006720074 0.0034593486 0.004444187 0.0012910487 0.00083587127 0.0022427833 0.001969677 0.0013986361 0.0018620895 0.0018041579 0.07395392 0.012571173 0.003533832 0.004080045 0.009318723 0.008615267 0.005015228 0.0059504104 0.027112024 0.003020723 0.0019200211 0.0070262845 0.01814089 0.004452463 0.00746491 0.011213917 0.08947133 0.017842956 0.007870432 0.01210772 0.024894068 0.020516088 0.011172537 0.018000199 0.053305417 0.002135196 0.003202794 0.009384931 0.039004568 0.011925649 0.017851232 0.03419624 0.028849974 0.007795948 0.004270392 0.005520061 0.009740797 0.006190413 0.0045352224 0.0061242054 0.017975371 0.0016800185 0.001944849 0.0045517744 0.012165652 0.004940744 0.006240069 0.013067731 0.009078721 0.007133872 0.0070262845 0.0069931806 0.0069931806 0.0069931806 0.008590439 0.006951801 0.0069766287 0.0069600767 0.006918697 0.008491128 0.0069931806 0.008606992 0.0069766287 0.0069600767 223.0 12.923767 2882.0 0.020471895 0.001387925 0.0020818876 0.0020818876 0.010409438 0.0010409438 0.0006939625 0.001387925 0.004163775 0.001387925 0.001387925 0.00277585 0.00277585 0.028105482 0.018390007 0.0031228315 0.013879251 0.022553783 0.021512838 0.015267176 0.018043026 0.0024288688 0.0045107566 0.006245663 0.010062457 0.007633588 0.010756419 0.009715475 0.009715475 0.010062457 0.005204719 0.00832755 0.004163775 0.006592644 0.0010409438 0.0111034 0.010062457 0.006245663 0.005204719 0.0069396254 0.005204719 0.007980569 0.0010409438 0.0031228315 0.0069396254 0.0020818876 0.003816794 0.0058986815 0.004163775 0.0048577376 0.0072866064 0.0072866064 0.007980569 0.0020818876 0.0034698127 0.003816794 0.005204719 0.0010409438 0.0048577376 0.0017349063 0.0031228315 0.0010409438 0.001387925 0.0072866064 0.0024288688 0.042331714 0.007633588 0.030881332 0.03261624 0.055863984 0.0045107566 0.0069396254 0.014573213 0.04406662 0.004163775 0.0072866064 0.041984733 0.015614157 0.032269258 0.02984039 0.013185288 0.0017349063 0.04024983 0.03018737 0.047883414 0.010756419 0.0069396254 0.011797363 0.008674531 0.00832755 0.0034698127 0.0017349063 0.00277585 0.0020818876 0.00277585 0.00277585 5.8725147 0.0 0.0 0.0 2.0 61952.0 81920.0 1.0 2.0 43.0 1.0 1.0 0.0 0.0 0.0 1514832300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 12.0 10.0 10.0 0.0 10.0 0.0 54272.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54272.0 -2048.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5044966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5009665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9270306 -4.985468 1.393586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53996.0 -1904.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 57984.0 260.0 65764.0 1032.0 73728.0 0.0 0.0 0.0 0.0 1760.0 77824.0 56.0 17904.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4336.0 0.0 0.0 224.0 65536.0 64.0 57876.0 0.0 0.0


Input: 0.60818166 0.0051805484 0.002767874 0.0033609897 0.0039474037 0.0017592419 0.0014777632 0.0016520119 0.0036324156 0.0015548348 0.0015079216 0.0011862316 0.0026405384 0.0016319063 0.0013068654 0.0024863952 0.0028851568 0.00094496424 0.00091145484 0.0009751226 0.0021848108 0.0017726456 0.0010790017 0.00095501705 0.0016855212 0.0011460205 0.0009248586 0.0014207972 0.0015983969 0.001065598 0.0011259149 0.0015883441 0.004932579 0.0010924054 0.0016285554 0.0012197411 0.002915315 0.0009952283 0.000847787 0.0012130392 0.0011895826 0.0008913492 0.0008142777 0.001280058 0.0011862316 0.0012063372 0.0023657614 0.001008632 0.0025768704 0.0022752862 0.0023255502 0.003401201 0.0021982146 0.0018798757 0.001963649 0.0020239658 0.0016821703 0.0018128569 0.0017290835 0.002496448 0.0018497172 0.0024562369 0.0016285554 0.0018530681 0.0024629387 0.0020440714 0.004426588 0.004798542 0.0028281908 0.0029320698 0.001960298 0.0019971584 0.0017491891 0.0017391363 0.0011996354 0.0011862316 0.00175254 0.0019737019 0.0019569471 0.0013638313 0.0031297752 0.0012364957 0.0011795298 0.0023020937 0.0015012197 0.001595046 0.0020909847 0.0018765246 0.0013068654 0.0019100341 0.0007204514 0.0015481329 0.0009885264 0.0013939898 0.0014543066 0.0012532504 0.0010857036 0.0025400103 0.00087794545 0.0020139131 0.0019737019 0.00468461 0.0013671822 0.0011761788 0.002338954 0.002499799 0.0021580034 0.0008913492 0.0023791653 0.0013370238 0.0024696405 0.0026371873 0.0017089779 0.0007908211 0.003354288 0.0024361312 0.0055893627 0.00439978 0.0017659437 0.0017290835 0.0012532504 0.0012666541 0.0007070477 0.00084108516 0.0009717717 0.0012331448 0.0009617189 0.0011460205 0.0023121464 0.0010119829 0.00069364393 0.0038669812 0.0013939898 0.0021479505 0.00067688926 0.000743908 0.0014710613 0.0028650512 0.001169477 0.007901509 0.000851138 0.0025098517 0.00050599145 0.00081762864 0.0009081039 0.00047248212 0.0005193952 0.00069029303 0.0006601346 0.0006165724 0.0005797121 0.0005260971 0.00076066266 0.00048588586 0.0004825349 0.0005462027 0.0005529046 0.0004992896 0.0005797121 0.0005797121 0.0007305042 0.0009349114 0.0006065196 0.0008243305 0.00073720614 0.00064337987 0.00054955366 0.00061322143 0.00072380237 0.00054955366 0.0006065196 0.0006500818 0.0006969949 0.00059646677 0.000583063 0.0005897649 0.00074055704 0.00060987053 0.0006467308 0.00060987053 0.00076066266 0.0005428518 0.0006634855 0.00078411924 0.0008947002 0.0004456746 0.0006266252 0.00062997616 0.00084108516 0.0006165724 0.00084108516 0.00066683645 0.0028382435 0.0010857036 0.00088799826 0.0020105622 0.001591695 0.00063332706 0.001166126 0.001377235 0.0013370238 0.0011426695 0.00070034584 0.0006601346 0.002607029 0.0005562555 0.0005696593 0.000743908 0.001112511 0.0010488433 0.0007874702 0.0008611908 0.00071374956 0.00057301024 0.00088799826 0.0007908211 0.0011728279 0.000636678 0.00060987053 0.0007707155 0.0006869421 0.0006634855 0.0011627751 0.0010186848 0.0014375519 0.000640029 0.00057636114 0.0007103986 0.0015883441 0.00057301024 0.0007640136 0.0006701874 0.004316007 0.0009650698 0.0010454924 0.0015816422 0.001541431 0.00061992335 0.00060987053 0.00057301024 0.0016285554 0.0006266252 0.0006701874 0.0009382623 0.0010186848 0.000636678 0.0009617189 0.0010890545 0.0019737019 0.00094496424 0.0007774174 0.0007807683 0.0020809318 0.0008712436 0.0017324344 0.019773878 0.48965013 1.6837284e-06 0.0 0.0 1.6837284e-06 0.0 1.6837284e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033068426 1.6837284e-05 1.6837284e-05 5.0511853e-06 1.8521014e-05 1.6837284e-06 2.5255928e-05 2.0204741e-05 5.0511853e-06 1.6837284e-06 3.3674569e-06 3.3674569e-06 1.0102371e-05 3.3674569e-06 5.0511853e-06 5.0511853e-06 0.0063729123 6.903287e-05 2.8623384e-05 2.8623384e-05 7.745151e-05 2.5255928e-05 6.229795e-05 3.0307112e-05 0.00010102371 8.418642e-06 8.418642e-06 1.5153556e-05 1.34698275e-05 6.7349138e-06 1.1786099e-05 3.7042028e-05 0.012163254 0.00016668912 0.0001245959 9.260506e-05 0.00024414062 5.556304e-05 0.00011449354 0.00016500539 0.00020204742 3.53583e-05 3.7042028e-05 5.219558e-05 4.2093212e-05 5.0511855e-05 5.724677e-05 0.00019026131 0.0055815596 5.556304e-05 4.8828126e-05 8.0818965e-05 5.556304e-05 4.5460667e-05 6.0614224e-05 9.260506e-05 0.00010775862 2.3572198e-05 2.5255928e-05 3.367457e-05 3.7042028e-05 1.8521014e-05 0.00014311692 0.00048659754 0.0028000404 2.3572198e-05 1.0102371e-05 3.7042028e-05 5.724677e-05 9.260506e-05 3.8725753e-05 2.6939655e-05 0.00013301455 3.199084e-05 1.0102371e-05 6.7349138e-06 3.199084e-05 3.8725753e-05 2.8623384e-05 8.0818965e-05 0.012171673 0.00028623384 0.00023403825 0.0050495015 0.00480031 0.00019026131 0.0004209321 0.000272764 7.2400326e-05 2.3572198e-05 8.0818965e-05 3.8725753e-05 2.188847e-05 8.587015e-05 0.00014311692 0.00024582434 0.02744309 0.00076104526 0.002133284 0.0011701912 0.00092099945 0.00025929417 0.004061153 0.0022410427 0.0006027748 0.0001414332 0.00016500539 0.00011280981 0.00038220634 0.00014480065 0.0003434806 0.0073932516 0.013983365 0.00042935077 0.0011028422 0.0009479391 0.0012914197 0.00048154633 0.0018756735 0.0014160157 0.0007778825 8.755388e-05 8.9237605e-05 0.00010607489 0.00012796336 6.0614224e-05 0.00027613147 0.0010843212 0.010171403 0.00046134158 0.0010708513 0.001599542 0.0027562634 0.0010742188 0.0059300917 0.0030525997 0.00024582434 9.765625e-05 7.07166e-05 9.597252e-05 0.000136382 0.00010775862 0.00014480065 0.0005707839 0.004340652 8.0818965e-05 0.0004680765 0.00021551724 0.0012392241 0.0004849138 0.00332368 0.0020322602 0.00011280981 8.4186424e-05 8.4186424e-05 7.2400326e-05 6.398168e-05 0.00011449354 7.4084055e-05 0.0010018185 0.0032479123 0.00052195584 0.00051185343 0.0049131196 0.0008485991 0.00047649516 0.0005977236 0.00037547146 0.00028791756 0.00028623384 0.00028791756 0.00024582434 0.00025929417 0.00029970365 0.00030643857 0.00032664332 0.0069790543 0.0011516702 0.0008081897 0.0018689386 0.0014614763 0.00080145476 0.0016349003 0.0014143318 0.0010203394 0.0002828664 0.00025592672 0.00038220634 0.0006465517 0.00051185343 0.0006095097 0.00086038525 0.011117659 0.0019447063 0.0023403824 0.0018066406 0.0039550783 0.0032967404 0.0022797682 0.0031418372 0.006527815 0.000527007 0.0006802263 0.0007391568 0.0031081627 0.001183661 0.0020305766 0.003596444 0.023940936 0.00565396 0.00515726 0.0055108434 0.008959119 0.009014682 0.0037530307 0.0068797143 0.01367861 0.0010573815 0.001581021 0.001606277 0.007608769 0.0031233162 0.00663389 0.01308257 0.011006533 0.01065295 0.010728718 0.010900458 0.009678071 0.009198208 0.008280576 0.0089877425 0.0071390085 0.0066945045 0.007213093 0.0073612607 0.0074336613 0.0076862206 0.007354526 0.007615504 1453.0 10.806607 15702.0 0.029104572 0.002865877 0.0038848554 0.0022290153 0.004585403 0.0025474462 0.0025474462 0.0050948923 0.00331168 0.0021653292 0.0022290153 0.0030569355 0.0031843078 0.0041396 0.012355114 0.0038211693 0.017832123 0.017067889 0.017131576 0.015666794 0.014393071 0.008788689 0.009170806 0.00961661 0.008852376 0.00910712 0.009425551 0.009425551 0.007960769 0.017004203 0.009361865 0.009234493 0.0068781045 0.016940517 0.0072602215 0.02369125 0.018468985 0.008661317 0.01076296 0.0165584 0.0082792 0.014202013 0.0054770093 0.0073239077 0.009425551 0.007897083 0.016940517 0.007005477 0.014329385 0.003693797 0.005413323 0.012482487 0.0058591263 0.0029295632 0.0071965354 0.008533944 0.008342886 0.002865877 0.0027385047 0.009234493 0.0040759137 0.0027385047 0.00331168 0.0036301108 0.0047127753 0.02617501 0.005668068 0.02101643 0.014393071 0.054260604 0.006113871 0.007960769 0.008661317 0.027576106 0.0026748185 0.0035664246 0.022353841 0.010954019 0.023945995 0.028404025 0.0124188 0.0026111323 0.03528213 0.021653293 0.04222392 0.013183034 0.00745128 0.0072602215 0.005731754 0.0082792 0.0030569355 0.0029295632 0.00248376 0.002101643 0.0026111323 0.0019742707 6.1418505 0.0 1.0 0.0 6.0 298424.0 348160.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 1099778400.0 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 -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 5.0 1.0 6.0 4.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 181248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109056.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.461667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8134696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4644375 0.0 3.549142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180969.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110926.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 197212.0 1932.0 57344.0 24.0 17360.0 0.0 0.0 3264.0 232960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056679133 0.00830413 0.006179168 0.005662425 0.005755625 0.0049572107 0.0042053964 0.005422176 0.0050441977 0.0056210025 0.0037518225 0.004470499 0.0049509974 0.0031729464 0.0043172366 0.0046382593 0.005031771 0.0037725337 0.004926144 0.004162939 0.004356588 0.0031698395 0.0041049477 0.0038460582 0.005065944 0.0033572754 0.0031594841 0.002934768 0.004154654 0.0034359777 0.0037922093 0.0037984226 0.00617399 0.0038160272 0.0034877555 0.0030248617 0.0049043973 0.004162939 0.0038439871 0.0037186847 0.004723175 0.0038916226 0.003332422 0.003098386 0.0043690144 0.0037217913 0.003730076 0.0035830268 0.0055184825 0.003951685 0.0031066707 0.0029057725 0.0036814047 0.0030714618 0.0026841634 0.0028591726 0.0041701877 0.0033148176 0.0035198578 0.003360382 0.0040044985 0.003229902 0.0035063955 0.0034473687 0.006599604 0.003944436 0.0036275557 0.003220582 0.0041567255 0.0032236886 0.00354264 0.0030683551 0.005010024 0.0037797827 0.0037052226 0.0035923468 0.004122552 0.003124275 0.0035643869 0.0034649733 0.0051726066 0.003629627 0.0036524092 0.0033427777 0.003928903 0.0033821287 0.003369702 0.0035447113 0.0046517216 0.0036430892 0.0038087782 0.0035032888 0.004112196 0.0033904132 0.0036845114 0.003793245 0.0059088874 0.003631698 0.0033407065 0.0029534083 0.004005534 0.0030579995 0.0032630397 0.0030300394 0.00497378 0.0031615552 0.003204013 0.0030486796 0.0035757779 0.0028353548 0.0030797462 0.0031884797 0.0045046723 0.0032909997 0.0032278309 0.0031460219 0.0038988716 0.0033344931 0.0032899643 0.003631698 0.0046299747 0.003297213 0.0034784356 0.0031656974 0.0040334943 0.003196764 0.003466009 0.0033386354 0.00863758 0.0045999438 0.004012783 0.003526071 0.004366943 0.003434942 0.003021755 0.0033842 0.0045419526 0.0038429515 0.0029647993 0.0031926217 0.003730076 0.0028032525 0.0028457104 0.0029844749 0.005229562 0.0032071196 0.0034939689 0.003021755 0.0036565512 0.0031833018 0.0033013553 0.0032620041 0.004533668 0.0028363904 0.003045573 0.0027141946 0.0035208934 0.0032361152 0.0029834395 0.0031522352 0.0050162375 0.0034100888 0.0032744308 0.0027960036 0.0037756404 0.0030093284 0.0030528216 0.003185373 0.0041329074 0.0030000082 0.003120133 0.003014506 0.0036513736 0.0028374258 0.0029202704 0.0030269327 0.004662077 0.0031118484 0.0038450228 0.002860208 0.0035602446 0.0031522352 0.0029813682 0.003110813 0.004250961 0.0031522352 0.0033313865 0.0031812307 0.0036493025 0.0031988353 0.0033334575 0.0033458844 0.006718693 0.0040635252 0.0037166136 0.0033313865 0.0041173743 0.0032588975 0.00330032 0.003222653 0.004325521 0.003332422 0.0031180617 0.0030766395 0.003650338 0.0029906882 0.0030818172 0.002794968 0.004243712 0.0032702887 0.003086995 0.0029979371 0.0037093647 0.003031075 0.002942017 0.002949266 0.003977574 0.0031066707 0.0027183369 0.0026365279 0.0035343557 0.0029451237 0.0035737068 0.0028850615 0.0049530687 0.0032278309 0.003404911 0.0029689416 0.0038098139 0.0030704262 0.0031988353 0.0029068082 0.004446681 0.005447029 0.0034711866 0.003131524 0.0037911737 0.0030932084 0.0032485418 0.0031977997 0.0046113348 0.0033220665 0.0034131955 0.0030393593 0.0037362892 0.0030859595 0.0033106753 0.0032361152 0.0043462324 0.003031075 0.0031926217 0.002869528 0.004012783 0.0030994217 0.00422093 0.004515028 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 0.09918381 0.062019493 0.062466826 0.055335432 0.060614258 0.059598822 0.054932676 0.05449053 0.060486227 0.05315268 0.05212532 0.05294275 0.056418255 0.050541773 0.05667017 0.053819273 4025.0 5.704099 22959.0 0.017248139 0.010453417 0.009320963 0.008711181 0.013415218 0.012500544 0.01180365 0.0114552025 0.0125441 0.009756522 0.008449845 0.008624069 0.0138943335 0.010540529 0.01180365 0.010017858 0.016769024 0.011934318 0.008754737 0.007535171 0.009800078 0.008493401 0.007796507 0.008319178 0.01032275 0.00840629 0.009625855 0.008841849 0.011542315 0.008972516 0.009625855 0.00914674 0.018032145 0.010888976 0.010366305 0.0090596285 0.010888976 0.008885404 0.0106711965 0.008319178 0.014199224 0.011585871 0.009712966 0.00892896 0.011411647 0.009320963 0.011672982 0.009538743 0.014765452 0.009582299 0.010017858 0.009103184 0.012064985 0.009451631 0.009669411 0.009800078 0.013676554 0.009190296 0.010540529 0.009495187 0.011150312 0.009800078 0.010409861 0.0106711965 0.017945033 0.010976088 0.009669411 0.00818851 0.013110328 0.0082320655 0.009408075 0.008319178 0.01541879 0.009277408 0.008885404 0.008754737 0.011368091 0.008014286 0.009887191 0.0078400625 0.013240995 0.008014286 0.008711181 0.008841849 0.011542315 0.009538743 0.0082320655 0.007927175 0.010932532 0.00892896 0.011934318 0.008493401 0.011280979 0.009016072 0.009974302 0.008798293 6.554576 0.0 0.0 0.0 14.0 965664.0 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: 0.2115221 0.03762755 0.009353741 0.0080782315 0.0080782315 0.0034013605 0.005952381 0.009566327 0.007440476 0.0051020407 0.0025510204 0.004464286 0.008715986 0.0025510204 0.0008503401 0.017644558 0.0080782315 0.0019132653 0.0019132653 0.0021258504 0.0038265307 0.00042517006 0.0008503401 0.0010629252 0.005314626 0.0008503401 0.0010629252 0.0006377551 0.0027636054 0.0 0.0031887756 0.0014880953 0.007440476 0.00021258503 0.0008503401 0.0012755102 0.012967687 0.0008503401 0.0 0.00021258503 0.0021258504 0.0006377551 0.00021258503 0.00042517006 0.0019132653 0.00021258503 0.0019132653 0.0006377551 0.0021258504 0.0006377551 0.0021258504 0.006590136 0.00021258503 0.0006377551 0.0021258504 0.0021258504 0.0010629252 0.0008503401 0.0 0.0021258504 0.0031887756 0.0021258504 0.00042517006 0.0006377551 0.005952381 0.00042517006 0.0014880953 0.0008503401 0.005527211 0.0063775512 0.0006377551 0.0006377551 0.0019132653 0.00042517006 0.0 0.00042517006 0.0048894556 0.0025510204 0.0 0.00021258503 0.004251701 0.005314626 0.00021258503 0.0023384353 0.0017006802 0.004251701 0.007865646 0.005952381 0.00021258503 0.007440476 0.0006377551 0.0023384353 0.00021258503 0.004464286 0.006802721 0.0051020407 0.0027636054 0.0021258504 0.00021258503 0.00042517006 0.0027636054 0.0014880953 0.0040391157 0.00021258503 0.0023384353 0.0 0.005739796 0.0048894556 0.0017006802 0.0021258504 0.0019132653 0.00021258503 0.00021258503 0.0 0.0017006802 0.0012755102 0.009778911 0.007015306 0.0 0.0010629252 0.0006377551 0.0006377551 0.0012755102 0.0 0.0021258504 0.0012755102 0.0010629252 0.00021258503 0.010204081 0.0017006802 0.00042517006 0.011479592 0.008290816 0.0008503401 0.00021258503 0.00042517006 0.0025510204 0.005314626 0.0025510204 0.039328232 0.0017006802 0.0063775512 0.00042517006 0.00042517006 0.004251701 0.0 0.0 0.0 0.0021258504 0.0006377551 0.0 0.00021258503 0.0012755102 0.0 0.00021258503 0.0 0.0012755102 0.00042517006 0.0 0.00021258503 0.0025510204 0.00042517006 0.00021258503 0.0014880953 0.0014880953 0.00042517006 0.0 0.00021258503 0.0012755102 0.0 0.00021258503 0.00042517006 0.00021258503 0.00021258503 0.0 0.00042517006 0.0031887756 0.0 0.0008503401 0.00021258503 0.0010629252 0.0006377551 0.004251701 0.007015306 0.006802721 0.0008503401 0.0 0.0 0.0014880953 0.00042517006 0.00021258503 0.00042517006 0.014880952 0.009141156 0.0019132653 0.012329932 0.0034013605 0.0 0.0031887756 0.0019132653 0.0036139456 0.0021258504 0.0034013605 0.00042517006 0.0038265307 0.0 0.004464286 0.0031887756 0.0038265307 0.0021258504 0.0017006802 0.0025510204 0.00042517006 0.00021258503 0.0019132653 0.0029761905 0.0023384353 0.00042517006 0.0010629252 0.00021258503 0.00042517006 0.00021258503 0.00021258503 0.00021258503 0.0040391157 0.0019132653 0.0010629252 0.0014880953 0.0012755102 0.0027636054 0.0010629252 0.0006377551 0.019345239 0.0029761905 0.0017006802 0.0063775512 0.004251701 0.00021258503 0.0023384353 0.00042517006 0.0021258504 0.0029761905 0.0021258504 0.0014880953 0.0006377551 0.004464286 0.0012755102 0.0025510204 0.005527211 0.0034013605 0.0017006802 0.0012755102 0.0076530613 0.0031887756 0.0031887756 0.08609694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13216145 0.0133463545 0.008626302 0.009602864 0.010904948 0.020345053 0.0066731772 0.011555989 0.029947916 0.0011393229 0.0021158855 0.0071614585 0.028483072 0.0056966147 0.018391928 0.02718099 0.14794922 0.027669271 0.019205729 0.014973958 0.023111979 0.059570312 0.018880209 0.018391928 0.080729164 0.005533854 0.005533854 0.022298178 0.054036457 0.019856771 0.048990887 0.0999349 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.4166665 77.0 0.012987013 0.0 0.0 0.0 0.025974026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.103896104 0.0 0.0 0.0 0.0 0.012987013 0.012987013 0.0 0.025974026 0.012987013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012987013 0.0 0.0 0.0 0.012987013 0.0 0.0 0.0 0.012987013 0.0 0.0 0.0 0.0 0.012987013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012987013 0.0 0.0 0.0 0.0 0.025974026 0.0 0.025974026 0.0 0.025974026 0.025974026 0.025974026 0.0 0.103896104 0.012987013 0.012987013 0.064935066 0.051948052 0.0 0.012987013 0.012987013 0.0 0.0 0.0 0.012987013 0.012987013 0.025974026 0.012987013 0.0 0.0 0.038961038 0.0 0.12987013 0.0 0.0 0.0 0.038961038 0.0 0.051948052 0.0 0.0 0.0 0.0 0.0 4.522128 0.0 0.0 0.0 1.0 4704.0 4704.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 0.0 0.0 0.0 0.0 2944.0 544.0 0.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.039529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.380011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5784965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2938.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 4640.0 28.0 4512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0