Input: 0.74930125 0.0032495959 0.0015742861 0.0024245689 0.002449825 0.00065665407 0.00085870153 0.00065665407 0.0017258216 0.0005808863 0.0008334456 0.0006145609 0.0014143318 0.0006313982 0.00058930495 0.0010186557 0.0015827047 0.0010270744 0.0004966999 0.00035358296 0.0013217268 0.0017342403 0.0009765625 0.00026097792 0.00095972524 0.00068191 0.0002188847 0.00028623384 0.00064823544 0.00036200162 0.00013469828 0.0007071659 0.0018436826 0.0006313982 0.00024414062 0.00069032866 0.004310345 0.0017174031 0.00032832703 0.0003030711 0.0008755388 0.00029465248 0.00021046605 0.00065665407 0.00054721173 0.00026097792 0.000917632 0.0007324219 0.0010607489 0.0003030711 0.0005977236 0.0008166083 0.0006061422 0.00019362877 0.00046302532 0.00017679148 0.00096814387 0.00015153555 0.00032832703 0.00011786099 0.0004377694 0.00053037447 0.00052195584 0.0002188847 0.0096561825 0.0027023843 0.00075767783 0.0007408405 0.0020878233 0.00048828125 0.0010860049 0.0011870286 0.00186052 0.0004966999 0.0004209321 0.0007408405 0.0017342403 0.0012627963 0.00044618803 0.00040409484 0.003274852 0.0018184268 0.0029801994 0.0017174031 0.0013974946 0.0005808863 0.0024750808 0.0014395878 0.0007745151 0.0007324219 0.00044618803 0.0005135372 0.0007071659 0.00053037447 0.0012796336 0.0012796336 0.0007829337 0.0012543777 0.00075767783 0.0008166083 0.0016668912 0.0021551724 0.00068191 0.0009344693 0.0024329876 0.0013469828 0.0026013604 0.00065665407 0.002399313 0.00074925914 0.00096814387 0.0011028422 0.0012122844 0.00046302532 0.0012880523 0.0008755388 0.0025929417 0.0011701912 0.0004377694 0.0005724677 0.00072400324 0.00048828125 0.00025255926 0.00016837285 0.00056404906 0.00025255926 0.0003030711 0.0004546067 0.0038978313 0.0005977236 0.00038725755 0.0012207031 0.00066507276 0.0014059133 0.0007829337 0.0002188847 0.00054721173 0.0016500539 0.00046302532 0.0066675646 0.00089237606 0.0026771282 0.0008755388 0.00042935077 0.008292363 0.0004377694 0.00041251347 0.00085028284 0.00064823544 0.00041251347 0.00065665407 0.00042935077 0.0009007947 0.00056404906 0.00054721173 0.00031148977 0.0007829337 0.0004546067 0.0005724677 0.0007071659 0.00076609646 0.0007324219 0.0006313982 0.0006398168 0.0007408405 0.0005808863 0.00055563037 0.0009849812 0.0009007947 0.00064823544 0.0005051185 0.00044618803 0.00082502695 0.0005387931 0.00096814387 0.00055563037 0.0006987473 0.00044618803 0.00048828125 0.0007408405 0.00076609646 0.00048828125 0.00054721173 0.00042935077 0.0010607489 0.0006398168 0.0005724677 0.00038725755 0.0006313982 0.00042935077 0.00054721173 0.0005724677 0.0022393588 0.00085028284 0.0012543777 0.0011449354 0.0009344693 0.000917632 0.0008755388 0.0012207031 0.00072400324 0.00047986262 0.00042935077 0.00031148977 0.0028875943 0.00068191 0.00092605065 0.0004377694 0.0007071659 0.00036200162 0.00047144396 0.00046302532 0.00042935077 0.00019362877 0.00037042025 0.0004546067 0.00053037447 0.00012627963 0.00034516433 0.00019362877 0.0003199084 0.00019362877 0.00022730335 0.0001599542 0.00136382 0.00021046605 0.00018521013 0.00018521013 0.00016837285 0.00013469828 0.00023572198 0.00018521013 0.00272764 0.0010186557 0.00031148977 0.00048828125 0.00054721173 0.00021046605 0.00017679148 0.00010944235 0.0006987473 0.0008755388 0.00020204742 0.0003030711 0.00029465248 0.0002188847 0.00042935077 0.00029465248 0.0005977236 0.0003030711 0.00038725755 0.00011786099 0.00036200162 0.00028623384 0.00028623384 0.019859577 0.5304348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016266134 5.9442933e-05 7.218071e-05 5.9442933e-05 8.91644e-05 8.067255e-05 7.218071e-05 4.245924e-05 0.0001613451 5.9442933e-05 9.341032e-05 7.642663e-05 6.368886e-05 8.491848e-05 7.218071e-05 3.8213315e-05 0.01537449 8.91644e-05 0.00020805027 0.00022503396 0.00012313179 0.00012737772 0.0004628057 0.00022078805 4.245924e-05 9.341032e-05 0.0 3.8213315e-05 9.341032e-05 0.00011039402 0.00015709919 2.5475543e-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 0.014049762 0.00012313179 0.00016983696 8.067255e-05 0.0001613451 0.00018257473 0.00029296876 0.00021229619 0.00038637908 0.00029721466 0.0003014606 0.00025475543 0.00039911683 0.00020805027 0.00014011549 0.00013162364 0.012865149 0.00031419838 0.00019106657 0.000114639945 0.00022927989 0.00020805027 0.0011124321 0.0003693954 0.0007472826 6.368886e-05 0.00020380435 0.00027598505 0.00022927989 0.0001783288 0.00013162364 0.00015709919 0.02366678 0.00029296876 0.000501019 0.0007302989 0.0012525476 0.00079398777 0.0018172554 0.0009086277 0.00053923234 0.00021229619 0.0003566576 0.0004415761 0.0009850543 0.0002632473 0.0006411345 0.0013799253 0.03772928 0.0014054008 0.0016049593 0.0015582541 0.004398777 0.0017790421 0.002500849 0.0017195992 0.0015030571 0.0015030571 0.0010869565 0.0006199049 0.0008534307 0.00045855978 0.00062839675 0.0015200408 0.034566067 0.0010317595 0.0013332202 0.0011421535 0.005090863 0.0024753737 0.0028192934 0.0012610394 0.0011463994 0.0011463994 0.0013714334 0.0010190217 0.0011846127 0.0006241508 0.00048403532 0.004173743 0.03360224 0.0011931047 0.0008024796 0.00038637908 0.002509341 0.002683424 0.0037533967 0.0013714334 0.0025263247 0.0026494565 0.0037661346 0.0034731657 0.0022206183 0.0010444972 0.0005647079 0.007018512 0.010657269 0.00061141304 0.00034391985 0.00019955842 0.0010784647 0.0015115489 0.0029551631 0.001613451 0.0013756794 0.0012228261 0.0011931047 0.00079398777 0.00038637908 0.00018257473 0.00019955842 0.0017620585 0.0040421197 0.00048828125 0.00033118206 0.00030995245 0.00040336276 0.00019955842 0.00018257473 0.00023777173 0.0002844769 0.0003693954 0.00030995245 0.00028872283 0.0004797894 0.0002632473 0.00022078805 0.0002844769 0.030120585 0.004475204 0.007077955 0.0019403872 0.008755095 0.00981233 0.0044327443 0.0028702447 0.011824898 0.007574728 0.0016516644 0.0016049593 0.007413383 0.0014690896 0.0041525136 0.007867697 0.0037321672 0.0008746603 0.0013289741 0.00033118206 0.0014266304 0.0019361413 0.00061141304 0.0005264946 0.0024923573 0.0012185802 0.00013586956 0.00010190217 0.0011039402 0.0002844769 0.0005180027 0.00076851225 0.00039911683 0.0008109715 0.00063264265 0.000390625 0.0007133152 0.00029721466 0.00030995245 0.00045855978 0.00053923234 0.0006453804 0.0006453804 0.0005137568 0.0010190217 0.00033118206 0.00039911683 0.0005901834 270.0 10.503704 2836.0 0.004231312 0.0031734838 0.0031734838 0.005641749 0.011988716 0.0 0.0074047954 0.002115656 0.004583921 0.0017630465 0.002115656 0.008110014 0.009520452 0.00070521864 0.019040903 0.008815233 0.0028208746 0.0 0.017277855 0.0052891397 0.008462624 0.0 0.010930888 0.0 0.017630465 0.0014104373 0.0031734838 0.0 0.0017630465 0.012693935 0.013751763 0.0017630465 0.0049365303 0.032792665 0.0028208746 0.010578279 0.01551481 0.007757405 0.004231312 0.033497885 0.019746121 0.0049365303 0.003526093 0.0038787024 0.011988716 0.028208744 0.0014104373 0.0052891397 0.011988716 0.013046544 0.03067701 0.010578279 0.023272214 0.0038787024 0.021509169 0.01022567 0.0028208746 0.014456982 0.0014104373 0.002115656 0.0028208746 0.0049365303 0.005641749 0.02574048 0.0024682651 0.027503526 0.011283498 0.019040903 0.02045134 0.066643156 0.005994358 0.008815233 0.008462624 0.02045134 0.0028208746 0.005641749 0.023977432 0.013046544 0.024682652 0.028208744 0.012341326 0.0024682651 0.028561354 0.017630465 0.041960508 0.012341326 0.0024682651 0.0098730605 0.0074047954 0.006699577 0.001057828 0.00070521864 0.00070521864 0.0 0.0 0.00070521864 5.901593 0.0 1.0 0.0 1.0 118784.0 118784.0 0.0 0.0 88.0 0.0 1.0 0.0 0.0 0.0 1367156500.0 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 16384.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 -61440.0 0.0 0.0 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 -16384.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8705873 0.0 0.0 -0.55989164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.491322 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.991496 0.0 4.1286445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7370.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15042.0 0.0 21112.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 -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 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 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 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 -1.0 0.0 1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25192.0 21112.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20480.0 0.0 0.0 0.0 0.0


Input: 0.41350445 0.022600446 0.011300223 0.0054408484 0.0050223214 0.0030691964 0.004045759 0.0033482143 0.0066964286 0.0012555803 0.0026506695 0.00069754466 0.0011160715 0.0011160715 0.0016741072 0.00013950893 0.001813616 0.0037667411 0.001953125 0.0015345982 0.0008370536 0.002232143 0.001813616 0.00055803574 0.0012555803 0.0012555803 0.0004185268 0.0013950893 0.0008370536 0.00013950893 0.0008370536 0.00055803574 0.0050223214 0.004045759 0.00055803574 0.00069754466 0.0015345982 0.0009765625 0.0033482143 0.0004185268 0.00055803574 0.00069754466 0.0016741072 0.00013950893 0.0004185268 0.0004185268 0.026506696 0.0008370536 0.00906808 0.002232143 0.0027901786 0.0015345982 0.0009765625 0.00069754466 0.0004185268 0.0011160715 0.0004185268 0.0008370536 0.00013950893 0.00027901787 0.00013950893 0.0 0.00013950893 0.00027901787 0.002232143 0.007254464 0.005998884 0.010044643 0.0033482143 0.008510045 0.001813616 0.00055803574 0.0009765625 0.012555803 0.00027901787 0.00013950893 0.0008370536 0.002232143 0.0029296875 0.0008370536 0.005998884 0.0004185268 0.0020926339 0.0037667411 0.00390625 0.0107421875 0.001953125 0.00055803574 0.00013950893 0.00027901787 0.00027901787 0.00013950893 0.00055803574 0.00013950893 0.00013950893 0.0015345982 0.0013950893 0.01436942 0.0033482143 0.0066964286 0.011021205 0.04129464 0.001813616 0.014927455 0.0013950893 0.036969867 0.00013950893 0.0015345982 0.01311384 0.005859375 0.046456475 0.013392857 0.004603795 0.00027901787 0.021205356 0.011300223 0.03362165 0.00906808 0.004464286 0.0008370536 0.0004185268 0.0126953125 0.0004185268 0.00013950893 0.00027901787 0.0008370536 0.00069754466 0.00013950893 0.001813616 0.00013950893 0.0 0.00013950893 0.00013950893 0.00013950893 0.00027901787 0.0 0.0 0.00027901787 0.0 0.0 0.00027901787 0.00027901787 0.00013950893 0.0 0.00013950893 0.00013950893 0.00013950893 0.00055803574 0.0 0.00013950893 0.0012555803 0.00027901787 0.0 0.00013950893 0.00013950893 0.0 0.00013950893 0.0 0.00027901787 0.0 0.00013950893 0.0 0.00013950893 0.00027901787 0.00013950893 0.00013950893 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.00027901787 0.0 0.00013950893 0.00027901787 0.0004185268 0.0 0.00013950893 0.00027901787 0.0004185268 0.0004185268 0.00013950893 0.00013950893 0.00013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.00013950893 0.0 0.00013950893 0.0 0.0004185268 0.0 0.00013950893 0.0 0.0 0.00027901787 0.00027901787 0.00013950893 0.00013950893 0.0 0.00013950893 0.0 0.0 0.00013950893 0.0 0.00027901787 0.0 0.00013950893 0.0 0.00013950893 0.0 0.0 0.00013950893 0.00013950893 0.00055803574 0.0 0.0 0.0 0.00013950893 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.00013950893 0.00027901787 0.00013950893 0.00013950893 0.0 0.00027901787 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0004185268 0.00013950893 0.0 0.00055803574 0.00013950893 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14038086 0.00040690103 0.0020345051 0.0016276041 0.0033365886 0.0016276041 0.012369792 0.0041503906 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 8.138021e-05 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18603516 0.0081380205 0.01578776 0.0056152344 0.016520182 0.010660808 0.053385418 0.02750651 0.0018717448 0.0018717448 0.00081380206 0.001546224 0.0008951823 0.0007324219 0.0006510417 0.0013020834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0999349 0.013916016 0.03434245 0.01554362 0.047607422 0.024251303 0.17447917 0.08170573 0.0017903646 0.0018717448 0.0008951823 0.0012207031 0.00016276042 0.00048828125 0.0006510417 0.0011393229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 123.0 22.642277 2785.0 0.0028725313 0.008976661 0.0007181328 0.0010771992 0.0017953322 0.0007181328 0.0 0.0 0.0 0.0 0.0 0.0003590664 0.0 0.0 0.04416517 0.0021543985 0.016876122 0.0057450626 0.004308797 0.0017953322 0.0014362657 0.0014362657 0.0007181328 0.0017953322 0.0007181328 0.0007181328 0.0 0.0 0.0003590664 0.0 0.0003590664 0.0 0.0003590664 0.018312387 0.014003591 0.0046678637 0.007540395 0.02010772 0.0021543985 0.0010771992 0.0003590664 0.02908438 0.0 0.0 0.0003590664 0.0046678637 0.00502693 0.0010771992 0.012926391 0.0 0.00502693 0.007540395 0.008617594 0.026211848 0.0007181328 0.0010771992 0.0 0.0003590664 0.0 0.0 0.0 0.0 0.0 0.0028725313 0.0014362657 0.031597845 0.007899461 0.014362657 0.025493717 0.09874327 0.0032315978 0.035906643 0.002513465 0.08868941 0.0003590664 0.0032315978 0.028007181 0.011849192 0.1102334 0.028366247 0.01005386 0.0003590664 0.049551167 0.026570916 0.08186714 0.020466786 0.011490125 0.0021543985 0.0010771992 0.030879714 0.0003590664 0.0 0.0 0.0 0.0 0.0 4.857174 0.0 0.0 0.0 1.0 7168.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 5120.0 512.0 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 -5120.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.321151 0.0 2.5532 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 -4708.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 12808.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.038132314 0.004464342 0.00425618 0.0042358483 0.004469183 0.003991863 0.0040160683 0.0040683504 0.004341381 0.0037575604 0.00380597 0.0037730515 0.00400445 0.0037401328 0.003865998 0.003905694 0.0039637857 0.0036820413 0.0034922753 0.0036316952 0.003830175 0.0035987766 0.003520353 0.0036239496 0.003815652 0.0035590807 0.0035648898 0.0035339077 0.0036229815 0.0035794128 0.0034922753 0.003735292 0.0042358483 0.003621045 0.003535844 0.003621045 0.0038195248 0.0036626775 0.0035426214 0.0036326633 0.0035222892 0.0034564522 0.0034884026 0.003545526 0.0036791367 0.0035639217 0.0035832855 0.0036074903 0.0039386125 0.0035881265 0.0036355678 0.0038485706 0.0035348758 0.0034487066 0.003551335 0.0034903388 0.003660741 0.0036181405 0.0034177243 0.003556176 0.0035368123 0.0035087345 0.0034796887 0.0034913071 0.0038098427 0.0038272704 0.003730451 0.0038127475 0.003624918 0.0036626775 0.0035135755 0.003700437 0.0036055539 0.0035581125 0.0036026493 0.0035794128 0.0036801049 0.0035736035 0.0035368123 0.00351648 0.0038911712 0.0034525793 0.0034825932 0.0035261621 0.003481625 0.0035329394 0.0035997448 0.014991513 0.0035426214 0.0035242257 0.014689437 0.0033499508 0.014915994 0.0034467701 0.0032928274 0.003576508 0.0036220131 0.0036442818 0.0034738795 0.0035087345 0.0036588046 0.0035677943 0.0037488467 0.0034428975 0.0035890946 0.0037246419 0.00336641 0.0034467701 0.0036220131 0.003500989 0.0035493986 0.0036636456 0.003731419 0.0033741556 0.0036704228 0.003565858 0.0037430376 0.003990895 0.0033983605 0.003595872 0.0036268542 0.0036074903 0.0033073502 0.003281209 0.0034225653 0.0034593567 0.0033819012 0.0035329394 0.0040867464 0.0037469103 0.0033673781 0.003835016 0.0036965641 0.0036713912 0.0036384726 0.0035339077 0.0038931074 0.0037488467 0.0035474624 0.003976372 0.003511639 0.003970563 0.0033518872 0.0035048618 0.0038263022 0.0033886784 0.0035300348 0.0033722192 0.0033296186 0.0034554838 0.0034487066 0.0033973923 0.00350583 0.003511639 0.0033867422 0.0034206288 0.0034622613 0.0032018172 0.003251195 0.0033644736 0.0035329394 0.0035145436 0.003291859 0.003541653 0.0034671023 0.0034225653 0.0035000208 0.0034545157 0.0033906149 0.0033092867 0.0033509189 0.0033199368 0.0034980844 0.0034845297 0.0034390246 0.0033867422 0.003595872 0.0034516111 0.0033112231 0.003540685 0.0035687627 0.0034593567 0.0034796887 0.0034554838 0.0036471863 0.0035929675 0.0034438656 0.0034477382 0.003610395 0.0034090106 0.0033973923 0.003556176 0.0038950439 0.0037188327 0.003485498 0.0037091507 0.0035523032 0.003361569 0.0035445578 0.0035881265 0.0039376444 0.0036617091 0.0032182764 0.00350583 0.0038020974 0.0033993286 0.0033722192 0.0035290667 0.003581349 0.0033751237 0.003437088 0.0035581125 0.0034622613 0.0033092867 0.003406106 0.0032753998 0.003650091 0.0034825932 0.003370283 0.003515512 0.0036520273 0.003440961 0.0033218733 0.0033393006 0.0038117792 0.0035271302 0.0033867422 0.0034341835 0.0038272704 0.0033625374 0.0032628134 0.003251195 0.0036694547 0.0034167562 0.003360601 0.003982181 0.0039783088 0.0034487066 0.0033780283 0.003466134 0.0038950439 0.0033799647 0.0035435895 0.0033886784 0.003565858 0.003959913 0.003929899 0.004504038 0.0038611572 0.003476784 0.0033102548 0.0034274063 0.0037420692 0.0033383325 0.0034622613 0.016437028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052135056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017378351 4.6549158e-05 0.0 0.0 0.0 0.0 0.0006938733 4.8488704e-07 0.0 0.0 0.0 4.8488704e-07 0.0 4.8488704e-07 4.8488704e-07 4.8488704e-07 0.0002502017 0.008055428 4.8488704e-07 5.8186447e-06 3.8306076e-05 9.697741e-07 0.008364301 4.8488704e-07 4.8488704e-07 9.697741e-07 0.0 0.0 4.8488704e-07 1.4546612e-06 0.00013140439 4.8488705e-06 0.0032555317 0.02103537 2.5214125e-05 7.224817e-05 0.000108614695 3.248743e-05 0.017674617 1.6001273e-05 2.5214125e-05 6.73993e-05 1.2122176e-05 1.0667515e-05 8.727967e-06 2.9093222e-05 0.00033505695 0.00014110212 0.0080723995 0.0012907693 1.0182628e-05 1.6971046e-05 1.8425708e-05 3.8790963e-06 0.0015846109 8.24308e-06 7.758193e-06 3.9760736e-05 4.8488705e-06 5.3337576e-06 1.3576837e-05 1.5031498e-05 9.212854e-06 6.7884184e-06 0.0009368018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013513801 5.4792235e-05 7.467261e-05 9.3098315e-05 7.079351e-05 0.00037918167 0.0001532243 9.261342e-05 9.988673e-05 7.4187716e-05 3.588164e-05 3.103277e-05 9.35832e-05 3.7336304e-05 7.030862e-05 0.00026717276 0.0020554361 7.176328e-05 0.00019492459 0.00027250653 0.000104250714 0.00020365255 0.00041069931 0.00027056696 0.00030790328 0.00020268279 0.000107644926 0.00029287176 0.00046597645 8.630989e-05 0.00034911867 0.0005619841 0.0006279287 4.751893e-05 0.000104250714 5.8671332e-05 4.8488702e-05 0.00030499394 0.00017068024 0.00010279605 0.00010328094 2.5214125e-05 3.2002547e-05 3.297232e-05 3.8306076e-05 2.61839e-05 8.049125e-05 0.00018231753 0.0004000318 8.097613e-05 6.594464e-05 0.00036802926 7.758193e-05 7.467261e-05 7.709704e-05 8.194591e-05 6.9823735e-05 6.35202e-05 5.3822463e-05 6.206554e-05 7.709704e-05 5.5277123e-05 0.00015613362 0.00022207826 0.00028996245 5.1398027e-05 5.23678e-05 7.661215e-05 6.448998e-05 5.6731784e-05 6.303532e-05 7.758193e-05 0.00020122812 5.8186444e-05 0.000118797325 0.00019346992 0.00019201527 0.0001047356 0.00022935157 0.00015613362 0.0633311 0.057925574 0.057570152 0.05627502 0.05794691 0.055813894 0.05623623 0.05596663 0.05821796 0.054439723 0.054582763 0.05535325 0.056411758 0.0544276 0.05556854 0.05559327 5003.0 5.9506297 29771.0 0.01760102 0.008229485 0.012898458 0.009774613 0.009169998 0.009539485 0.009942561 0.008968459 0.009841792 0.009203588 0.009774613 0.009237177 0.009606664 0.009640254 0.01142051 0.009774613 0.012092304 0.011689228 0.010849484 0.010916664 0.0101105105 0.010009741 0.008766921 0.009976151 0.009942561 0.009304357 0.009673844 0.01017769 0.010614356 0.0101105105 0.0100769205 0.009908971 0.01021128 0.016794868 0.011286151 0.010849484 0.009808202 0.0100433305 0.010715125 0.009337947 0.010312049 0.009942561 0.009808202 0.009136408 0.010547177 0.009741023 0.01021128 0.009505895 0.0101441 0.00886769 0.01024487 0.009203588 0.010849484 0.0101105105 0.008901279 0.010815894 0.009472305 0.009976151 0.009640254 0.008632562 0.010681536 0.008901279 0.0088341 0.010950253 0.01017769 0.012495382 0.010278459 0.011655638 0.011084612 0.012999227 0.01021128 0.008733331 0.009774613 0.011991535 0.009203588 0.009640254 0.011252562 0.009908971 0.012260254 0.012528971 0.011353331 0.009707433 0.013335125 0.014074099 0.013738202 0.011823587 0.0101441 0.011554869 0.010278459 0.010345639 0.010278459 0.0088341 0.008699741 0.009304357 0.0090356385 0.009976151 6.570665 2.0 0.0 0.0 15.0 1032851.0 602112.0 0.0 0.0 9.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 139264.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.919243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3320472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 0.0 0.0 0.0 0.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 597520.0 93712.0 503808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 500568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18154188 0.020466996 0.021400247 0.009870785 0.017423771 0.0058026956 0.014785859 0.0076178648 0.008691923 0.0048776437 0.014617959 0.00485376 0.004225295 0.0032000735 0.0039672074 0.0029091903 0.00504483 0.0066218744 0.0051713786 0.0049813776 0.0036527964 0.0034581614 0.004010697 0.0034096807 0.0029751381 0.0022657532 0.0021470473 0.0026261492 0.0023242151 0.0020857337 0.0020910806 0.0030813676 0.005215938 0.0020575721 0.0028831675 0.0024386435 0.004000359 0.0030999042 0.0021891112 0.0016183952 0.008618489 0.0016462003 0.0047553726 0.0052440995 0.004037433 0.0023947973 0.0072781444 0.0033729638 0.005412712 0.0033323257 0.0029017043 0.0029031301 0.0025231282 0.006814727 0.00505196 0.0022308188 0.0037675814 0.0023245716 0.002128154 0.0021609499 0.0019078527 0.0029694345 0.0019837818 0.001748865 0.002451833 0.003133413 0.0034706378 0.004640588 0.0029394906 0.0028364693 0.0024700135 0.0017937808 0.0018504603 0.0023694874 0.0019363707 0.0017652628 0.0027541236 0.002455398 0.002503522 0.0021106869 0.004696198 0.0014679629 0.0029380647 0.004222443 0.0028927925 0.001903575 0.0035444282 0.0018597286 0.001974157 0.0015980762 0.0013410579 0.0019955456 0.0016205341 0.0015774006 0.0013574557 0.003964355 0.0016889772 0.011857775 0.003370112 0.006763038 0.0063149496 0.02204903 0.0030792286 0.0048188255 0.0043340195 0.013133242 0.0018076833 0.0025648356 0.009639789 0.0070218393 0.011986819 0.022202672 0.008836295 0.0016786394 0.015174773 0.0124990735 0.014812951 0.0070870738 0.00294662 0.0030300352 0.0051246807 0.002980485 0.002044026 0.004854829 0.0015100269 0.0031273528 0.0021869724 0.0014141352 0.0031715557 0.002529901 0.0018183775 0.001778096 0.0016486956 0.0015688452 0.0031016865 0.0013859738 0.0015873819 0.001592729 0.0012647723 0.001269763 0.0014722405 0.0015335543 0.0013082622 0.00137421 0.0013285812 0.0012537217 0.0012095188 0.0014483568 0.0014148481 0.0012437403 0.001360664 0.0014137788 0.001515374 0.0019377966 0.001699315 0.0014964809 0.0013307201 0.0014013022 0.0013902514 0.0013549604 0.0021456215 0.001515374 0.0019164081 0.0013210953 0.0016337236 0.0014611899 0.0016608157 0.0015624287 0.0013328589 0.0013282248 0.0013688629 0.0029929618 0.0012893691 0.0017424484 0.0014658241 0.0015331978 0.0013332155 0.001338919 0.0011674548 0.0015282071 0.0013485439 0.0012836654 0.0012137964 0.0013720712 0.0013638723 0.0013977374 0.0014444356 0.0013931032 0.0013285812 0.0013763489 0.0015784701 0.0014041539 0.001474023 0.0016126917 0.0013153917 0.0015324848 0.0013631594 0.00199305 0.0014683193 0.0014604769 0.0013506827 0.0015870255 0.0011881302 0.0013873996 0.001431246 0.00126299 0.0014422968 0.0015645676 0.002354159 0.001353178 0.0012743971 0.0015663499 0.0019509861 0.0012822396 0.0013143223 0.0013955985 0.0012113011 0.0012284119 0.0016404967 0.001444792 0.00167757 0.0016059186 0.0018736311 0.0014615464 0.0015135916 0.0013549604 0.0015513779 0.0014708147 0.001298994 0.0012476615 0.0014907772 0.0014554863 0.0018982278 0.0014601204 0.0012615641 0.0013371367 0.001862224 0.0012294813 0.0014497828 0.0017944938 0.0013250165 0.001297568 0.0014897079 0.0015189388 0.0018629369 0.0013581687 0.0012055975 0.0014112834 0.0014875691 0.0013403449 0.0015192953 0.001360664 0.0013560299 0.0025776688 0.0049892203 0.0072171874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040573 6.72323e-05 5.7067202e-05 6.437894e-05 5.9920563e-05 4.9042126e-05 0.00015836148 5.7958878e-05 6.36656e-05 6.027723e-05 0.00012447784 4.743711e-05 5.2787163e-05 4.6367102e-05 4.9933802e-05 9.701424e-05 0.008476263 0.00017601665 0.00018332839 0.000105930994 0.00094981224 0.0008223027 0.006596612 0.0025692724 0.00011680943 0.00013642629 0.00049594964 5.564052e-05 0.00013125456 8.274744e-05 9.754925e-05 0.0001874301 0.012723668 0.00023968225 0.0011315356 0.00063861767 0.004148429 0.004637602 0.029366603 0.015063602 5.1538816e-05 6.9015645e-05 4.244373e-05 2.5501906e-05 2.3361887e-05 2.9068606e-05 1.8368506e-05 8.898917e-05 0.043844018 0.0037607285 0.0060246917 0.0023682888 0.0018694858 0.001456462 0.008087493 0.0066574244 0.00064664276 0.0006486044 0.00041480723 0.00033402146 0.00047704615 0.0008344295 0.00040161045 0.00069871655 0.09077751 0.016444271 0.014085433 0.0055562053 0.0031337028 0.0033469915 0.01226499 0.01226499 0.003650696 0.0017671216 0.0016622606 0.0014093815 0.0013102273 0.0027805995 0.0017234295 0.0027674027 0.0734166 0.0103742825 0.010933541 0.0101838205 0.0058165747 0.005577249 0.028694995 0.016574455 0.0049067093 0.002021784 0.0026204546 0.0021205815 0.0022969549 0.0028003945 0.0020389042 0.003698668 0.06589122 0.007814818 0.011665071 0.014214905 0.007373439 0.006270972 0.030052837 0.017664796 0.0024225027 0.0017041693 0.004308217 0.0013346592 0.0030176067 0.0010974737 0.0020993596 0.007143922 0.0044335867 0.0007605988 0.00060794404 0.0006006323 0.00071387505 0.00052537496 0.00084441627 0.00096318737 0.00036326842 0.00039412038 0.0003657651 0.00028801104 0.00031493962 0.00033865817 0.00033562648 0.00056781864 0.0011707693 0.00014373801 0.00020865195 0.00036844012 0.00020508526 0.00022488044 0.00035488667 0.00024931235 0.00012804453 0.00013624795 0.00017476831 0.00017548165 0.00017458998 0.00021988706 0.00019046178 0.00062274584 9.9332596e-05 1.355346e-05 1.177011e-05 1.7833501e-05 3.4418656e-05 3.9768707e-05 3.6202007e-05 2.4966901e-05 9.273421e-06 1.0700101e-05 9.98676e-06 8.916751e-06 1.2305116e-05 1.1948446e-05 1.2840121e-05 1.1413441e-05 0.021170683 0.01617338 0.0159378 0.01605247 0.017191317 0.016021261 0.01619157 0.01723269 0.016060852 0.015862899 0.016063703 0.016082428 0.015634274 0.016406463 0.016720869 0.017450081 24442.0 21.972916 537062.0 0.006863267 0.0005418369 0.0009142334 0.0024708507 0.0021654856 0.0006014203 0.0006982434 0.0005846625 0.0006852095 0.000636798 0.00063866 0.0055636032 0.0073436587 0.0023647177 0.026401049 0.008766213 0.012650308 0.0065485924 0.005632497 0.0064238394 0.005183759 0.0047815708 0.0049975608 0.0041875984 0.0041931844 0.003288261 0.0031337163 0.0015137917 0.0028655909 0.007487031 0.0028320753 0.00075037894 0.000530665 0.0056436686 0.007865014 0.013363448 0.006816718 0.007285937 0.0054314025 0.0020463187 0.0020183888 0.004973355 0.00043942785 0.0024205772 0.004129877 0.005066454 0.0025602258 0.0029177265 0.013879217 0.00048597742 0.0060737864 0.013653917 0.007961837 0.0025211242 0.0060477187 0.0019197039 0.0030182735 0.0004971493 0.0005064592 0.0004561857 0.0005846625 0.0007280351 0.0005139072 0.012998499 0.00052694103 0.04790322 0.009661826 0.025551984 0.02311465 0.09482145 0.008492501 0.015139779 0.0146929035 0.054790694 0.00078761857 0.0056809084 0.035872955 0.026793927 0.049262468 0.06036547 0.021211704 0.0015454454 0.052077785 0.040807206 0.05908815 0.024987804 0.008345406 0.0071816663 0.011274303 0.0077681905 0.0013164215 0.0003686725 0.00041149813 0.00040963612 0.00032584692 0.00035563865 5.4196324 0.0 671.0 0.0 11.0 2805248.0 2834432.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542117600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 2787328.0 512.0 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 -2787328.0 0.0 16896.0 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 -6.7873454 0.0 4.8362813 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 -2787260.0 0.0 16828.0 0.0 0.0 0.0 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 2795364.0 16828.0 2801664.0 0.0 0.0 0.0 0.0 12.0 2826240.0 28.0 2795052.0 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: 0.64648247 0.0032382344 0.0019101246 0.0016038407 0.0025324994 0.0013518733 0.0013635664 0.0013767683 0.0032899105 0.0011376255 0.0011297044 0.001146301 0.0024630951 0.00111952 0.00095921144 0.0026675358 0.002401612 0.0012062753 0.0009279041 0.0009275269 0.0016577799 0.0011926963 0.0009957995 0.000941106 0.0013481013 0.0010074927 0.0009079127 0.000941106 0.0012251352 0.0008486928 0.0009026319 0.0009154566 0.0016321305 0.0008724562 0.0009441236 0.00095053593 0.0015461297 0.0009139478 0.0008551051 0.0009362025 0.0010870812 0.0008313417 0.00085057877 0.0012085385 0.0009912732 0.0012873727 0.0009286585 0.00085585954 0.0014725763 0.0011685557 0.0011545994 0.002056477 0.0011847751 0.0011006603 0.0010825548 0.0010991514 0.001343575 0.0013522505 0.0011930735 0.0017026663 0.0012836007 0.0012681356 0.001082932 0.001575551 0.0017762197 0.0011840208 0.0013514961 0.001245881 0.0011938278 0.005656066 0.0025381572 0.0016404289 0.0013477241 0.00092186895 0.0010240893 0.00088490365 0.0010437035 0.0040816464 0.0010007031 0.00092375494 0.002725624 0.0016298674 0.0012119333 0.0012786972 0.0011100902 0.0029779687 0.0015846037 0.0014397602 0.0010701073 0.0015148224 0.00082228903 0.0010067383 0.00096750975 0.0016856925 0.0011994859 0.0011689329 0.00098901 0.0012719076 0.00094864995 0.0010444579 0.0014167512 0.0015521648 0.0015706475 0.0009007459 0.0020828806 0.0011519591 0.0017226577 0.0009380884 0.0013643207 0.0009792029 0.0011666697 0.0012058981 0.0012372055 0.00086264906 0.0014831378 0.0014182599 0.0028531165 0.003214471 0.0010372911 0.00095845707 0.00111952 0.00094864995 0.00088452647 0.00088829844 0.0010478527 0.0013854438 0.00096222904 0.0010429492 0.0014073212 0.0010418176 0.0008517104 0.004026576 0.0014597516 0.002700729 0.00086566666 0.00084567524 0.0012609689 0.0045621954 0.0011300816 0.010650151 0.0010176769 0.0037323623 0.0008124819 0.0007890957 0.0010323876 0.0007977712 0.00078004296 0.0008977284 0.0009524219 0.0011481871 0.00079550804 0.000824175 0.0009942908 0.00085435074 0.0008234206 0.00083964004 0.0009924048 0.00088754407 0.00082719256 0.00086302625 0.0010825548 0.0010821776 0.000841526 0.0009312989 0.000969773 0.00086792983 0.0007981484 0.00080342917 0.0010361596 0.0007906045 0.00084114884 0.00082078023 0.00094035163 0.00081210467 0.00084378925 0.00084378925 0.0010587914 0.00079211325 0.00080380635 0.00080569234 0.0010338965 0.0009056495 0.00122853 0.0009882556 0.0012971797 0.00092186895 0.0008732106 0.00080870994 0.0010565282 0.0009524219 0.0009531763 0.0009173426 0.00245706 0.0014212775 0.0013413118 0.0017079471 0.0017335964 0.00095732545 0.0014488129 0.0019293616 0.0014341022 0.0011877927 0.0009256409 0.0010131506 0.0042027268 0.00088754407 0.0010176769 0.00094827276 0.0013118904 0.00093318487 0.0010033435 0.00086792983 0.00111952 0.0008211574 0.00096034305 0.0008547279 0.0013450838 0.0009478955 0.00085246476 0.00097203616 0.0011312132 0.0009822204 0.00085246476 0.00085585954 0.0014571112 0.00089886 0.000870193 0.00084190327 0.0013039693 0.0011504502 0.00087962294 0.0008618947 0.0049039354 0.0014733307 0.00086415786 0.0019048438 0.0024159455 0.0008483156 0.0008581227 0.0008815089 0.0020693017 0.000937334 0.0009784484 0.0009211146 0.0015321734 0.0008245522 0.0013179256 0.0011444151 0.0018863612 0.0010923619 0.0009867469 0.0009916504 0.0026188775 0.0013386714 0.002006687 0.012556504 0.6143655 3.7734253e-07 1.1320276e-06 1.8867127e-07 1.8867128e-06 3.7734253e-07 9.433564e-07 0.0 0.0 0.0 0.0 0.0 1.8867127e-07 1.8867127e-07 1.8867127e-07 3.0187402e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00031149626 1.0565591e-05 1.4716359e-05 3.0187402e-06 7.924194e-06 4.716782e-06 1.4339016e-05 6.414823e-06 2.075384e-06 1.6980414e-06 1.1320276e-06 1.5093701e-06 3.7734253e-07 0.0 1.8867127e-07 6.226152e-06 0.0031753376 7.4713826e-05 0.00011471213 2.8489361e-05 0.00028583698 5.301663e-05 0.00024734804 9.339228e-05 1.77351e-05 6.377089e-05 1.3206989e-05 1.3961674e-05 1.8112441e-05 1.5471045e-05 2.075384e-05 0.00040092645 0.004059451 0.00016848344 0.0001805584 7.6223194e-05 0.00041073735 6.509159e-05 0.00029527053 0.00014829561 3.1319432e-05 5.3959982e-05 2.9432718e-05 2.7357335e-05 4.150768e-05 5.037523e-05 9.056221e-05 0.00045375442 0.0025727216 9.84864e-05 0.00021716063 4.2073694e-05 0.00033017472 0.000113957445 0.00058752234 0.00031300564 2.7546006e-05 4.150768e-05 3.716824e-05 3.716824e-05 1.9055798e-05 3.0753417e-05 2.9432718e-05 0.00013905072 0.0037341819 0.00016754009 0.0003375329 0.0001845205 0.0008492094 0.00026715852 0.0012669276 0.00063921825 8.018529e-05 0.00010320319 9.1505564e-05 6.169551e-05 5.2073272e-05 6.4714244e-05 6.6412285e-05 0.00014829561 0.0016625712 6.528026e-05 0.00021716063 0.000119994926 0.00045790517 0.0001845205 0.00066770765 0.0004656407 5.9997463e-05 4.8299844e-05 4.188502e-05 4.5469777e-05 3.245146e-05 3.3017473e-05 5.8865437e-05 8.961885e-05 0.0021702857 0.0003716824 0.0004150768 0.0037270123 0.00062223786 0.00040356786 0.0006963857 0.00049016793 0.0004254537 0.00025338551 0.0002739507 0.00026640383 0.00047790434 0.00025866833 0.00030225137 0.00043752868 0.0038266308 0.00041941623 0.00032357124 0.00048696055 0.001962936 0.0011933458 0.00045658447 0.00044488686 0.004050772 0.0003290427 0.00023451839 0.0003584754 0.0015712543 0.0004203596 0.0012482491 0.0035385296 0.015171057 0.0024678202 0.0015499345 0.0021108543 0.0066889627 0.0049418667 0.0021106654 0.0030345886 0.012399665 0.00085279415 0.0008503414 0.0015091815 0.006713301 0.0015125775 0.004965639 0.009241307 0.010459935 0.0025795137 0.0014461653 0.0023000916 0.004142655 0.004194917 0.0019802938 0.003643997 0.008158523 0.00065525534 0.0007422328 0.0011707052 0.003880402 0.0014680511 0.003602678 0.006761601 0.012297405 0.011924402 0.011867989 0.011986285 0.01205666 0.011973834 0.011977985 0.012067037 0.011909497 0.011906478 0.011991757 0.011907987 0.01180686 0.0119604375 0.012032888 0.011986285 3883.0 9.130569 35454.0 0.02307215 0.004287245 0.004371862 0.0044000675 0.012438653 0.0052462346 0.0053872624 0.006487279 0.0073334463 0.00476674 0.00425904 0.005951374 0.0064590736 0.007784735 0.008969368 0.00451289 0.014695098 0.012495064 0.013397642 0.012128391 0.01226942 0.011366841 0.012043775 0.011648897 0.014074575 0.013905342 0.014638687 0.011874542 0.014074575 0.009759124 0.010012975 0.017713092 0.0273876 0.008715519 0.0049359733 0.007841147 0.009195013 0.0068539516 0.007671913 0.006769335 0.007897558 0.0061488124 0.0047103288 0.0040333956 0.008630902 0.0055847014 0.0058949627 0.004964179 0.01257968 0.005556496 0.0057821404 0.009138602 0.009082191 0.0067975405 0.011028375 0.00953348 0.008405258 0.0055000847 0.004625712 0.0048513566 0.0067129238 0.0052462346 0.005669318 0.012748914 0.007079596 0.024200372 0.011564281 0.016105376 0.019743893 0.035567213 0.00978733 0.008461669 0.009928358 0.020674678 0.0064026625 0.005612907 0.017431038 0.011056581 0.018643877 0.026992723 0.011930953 0.0050487956 0.025582446 0.021831105 0.036272354 0.01257968 0.008348847 0.00603599 0.0102386195 0.009223219 0.0050487956 0.0049077678 0.0071078017 0.004202629 0.004569301 0.0055000847 6.346066 0.0 0.0 0.0 10.0 2651136.0 2662400.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541768000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222592.0 0.0 0.0 0.0 0.0 0.0 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 -392704.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5791826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.7867339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.806166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4920554 0.0 3.8890173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392648.0 0.0 3176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2618008.0 3176.0 2637824.0 0.0 0.0 0.0 0.0 18512.0 2641920.0 28.0 458080.0 0.0 0.0 0.0 0.0 24.0 458272.0 64.0 458112.0 0.0 0.0 328.0 397312.0 0.0 0.0 0.0 0.0


Input: 0.21115164 0.018313665 0.010236062 0.0064656017 0.0076621384 0.0066044154 0.005764689 0.0035016306 0.009890982 0.0035045634 0.005091148 0.0046512447 0.0031497078 0.010996606 0.002858394 0.0075057284 0.0053423815 0.0011417936 0.0010469699 0.0011691654 0.001196537 0.004356998 0.0011271301 0.0008358163 0.0031888103 0.002227866 0.0006539896 0.0007752074 0.0010205758 0.00078987086 0.0006549672 0.0006461691 0.011303561 0.0006315057 0.0012033801 0.0008846945 0.05674362 0.0011261526 0.0005454801 0.0005933807 0.0056073014 0.000659855 0.00060022366 0.0013187325 0.0010655436 0.0012982036 0.0009140214 0.0007624991 0.007855696 0.00075956644 0.0017703666 0.007207572 0.0016774981 0.0005112654 0.0005650314 0.00050540006 0.0051928144 0.001295271 0.00071166584 0.0016471936 0.0011975146 0.00070873316 0.005563311 0.0014125785 0.008845967 0.005155667 0.0013588126 0.0014917611 0.02687516 0.0030851888 0.00087687396 0.00081235485 0.06386419 0.0026022727 0.00074588053 0.00073512737 0.016243186 0.0016550141 0.0007419703 0.0005933807 0.005877109 0.00048682635 0.0007703196 0.0011417936 0.00468937 0.0015425944 0.0007615216 0.0013724985 0.0031497078 0.0006999351 0.000489759 0.0005327718 0.0015621457 0.0012317294 0.00054352504 0.0010274186 0.0033276244 0.0016960717 0.0012024024 0.002113491 0.0018182672 0.0033403328 0.00287208 0.005417654 0.003057817 0.0022865199 0.00039102518 0.0011036686 0.0018211998 0.0009443258 0.002104693 0.0019561036 0.0039620628 0.000489759 0.0024302215 0.002149661 0.0087980665 0.005187927 0.00075174595 0.0008495022 0.0020880746 0.00072535174 0.0005112654 0.00043208283 0.004099899 0.00069113704 0.0006921146 0.00061293197 0.0040647066 0.0022083148 0.0008788291 0.013773862 0.0073092384 0.0046903472 0.0007194863 0.00042523988 0.0017517928 0.017368361 0.0006500794 0.037711445 0.005209433 0.0099633215 0.00035974316 0.00030402208 0.0029082499 0.00035974316 0.00041546425 0.0007888933 0.0016599019 0.00046923023 0.00037147393 0.00034996754 0.0012024024 0.00038124956 0.000333349 0.0003245509 0.00045847704 0.00030499964 0.00032161822 0.00046825266 0.0019287318 0.00042328477 0.00060804415 0.00040568862 0.00056991924 0.00036072073 0.0003744066 0.0004008008 0.0011701429 0.00043599308 0.0008485247 0.00046532 0.00054254744 0.00037538417 0.000395913 0.0004487014 0.001590495 0.00030793235 0.00037049636 0.0004545668 0.0004672751 0.0003538778 0.0010723866 0.0023803657 0.0034038743 0.0018778985 0.0022092923 0.0003880925 0.0016950942 0.0005024674 0.0004887815 0.000559166 0.010512712 0.0034595954 0.0010381719 0.004339402 0.0046004113 0.0005992461 0.0009013131 0.006343406 0.00298841 0.0021907187 0.0007585889 0.000628573 0.02981176 0.00043110526 0.0005200635 0.0007145985 0.0020059592 0.001000047 0.0015777866 0.0005357045 0.00043892578 0.0003939579 0.00039786813 0.00042719502 0.0011202872 0.00079573627 0.00043599308 0.00056600897 0.000480961 0.00030011183 0.00036560855 0.00038418226 0.0022962955 0.0007312171 0.00058653776 0.00044283603 0.0005014898 0.00033432653 0.000908156 0.000380272 0.012092454 0.0031418875 0.0011613448 0.0059289197 0.003616983 0.00038418226 0.0003353041 0.00036658611 0.001722466 0.0005073552 0.0011896942 0.001024486 0.00055330066 0.00050833274 0.0007752074 0.0009687649 0.002389164 0.0008348388 0.0006657204 0.0006363935 0.0010528354 0.000939438 0.0015504148 0.025177134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018488081 7.836008e-06 1.5672016e-05 2.2038772e-05 2.2038772e-05 9.79501e-06 4.0159543e-05 1.8120769e-05 3.4282534e-06 2.938503e-06 9.79501e-07 2.4487524e-06 1.959002e-06 2.4487524e-06 5.877006e-06 1.4692515e-06 0.0053108544 1.6651516e-05 7.787033e-05 5.3872554e-05 8.717559e-05 3.2323533e-05 0.00020765422 0.00014496615 1.3713014e-05 1.0284761e-05 2.1549022e-05 7.3462575e-06 3.4282534e-06 1.2243762e-05 1.0774511e-05 7.3462575e-06 0.00082522957 7.3462575e-06 7.836008e-06 5.828031e-05 5.3872554e-06 4.4077547e-06 6.0729064e-05 2.938503e-06 1.1264262e-05 4.4077547e-06 5.3872554e-06 1.4692515e-06 1.959002e-06 4.897505e-07 4.897505e-06 9.79501e-07 0.0059240223 4.4077544e-05 0.00013664039 0.00045644748 0.00012684538 0.00012145813 0.0007532363 0.00020275671 6.1218816e-05 2.1059272e-05 2.2038772e-05 1.32232635e-05 3.1833784e-05 1.0284761e-05 2.1549022e-05 7.738058e-05 0.018945998 0.0003731899 0.0009310157 0.0008795919 0.00051080977 0.00036437437 0.0014393767 0.0006410834 0.0006180651 0.00019736945 0.00014790465 0.00024781376 0.00025124202 0.00022871348 0.00011998887 0.00018169744 0.028963355 0.00065724517 0.0016734775 0.0014712105 0.0013825657 0.0011989092 0.0053368113 0.0027842317 0.00038445415 0.0004206957 0.00012488638 0.00011851962 0.00012145813 0.00015231241 0.00011068361 0.0002345905 0.026737928 0.002321907 0.0009329747 0.0016636824 0.0011577702 0.0012013579 0.0025197663 0.0014535795 0.00064598094 0.0004393062 0.00025956778 0.00025369076 0.00037172064 0.00028160654 0.00059308787 0.0022954606 0.027516631 0.0024590374 0.0010872461 0.002094173 0.0019536146 0.0018159949 0.0060430313 0.0028121474 0.00072678976 0.0004917095 0.00052207406 0.0006381449 0.00060386234 0.00046575273 0.000985378 0.0049499082 0.013337376 0.0007958446 0.0010309248 0.0023410073 0.0011107541 0.0006440219 0.0024433653 0.0007037715 0.0008438401 0.0005955366 0.0006151266 0.0007096485 0.0008281681 0.0006293294 0.00054950005 0.0019090475 0.019517537 0.0010025193 0.003427274 0.0022033874 0.0047280514 0.0011984195 0.0021500047 0.001299308 0.0045865136 0.0009099564 0.0013066543 0.001458477 0.0024933198 0.00084628887 0.0013355496 0.0016871905 0.09101915 0.007935917 0.042372722 0.011867634 0.06617019 0.008912969 0.0052476767 0.0105805695 0.053124215 0.0037911586 0.0026201652 0.007156724 0.03399799 0.0026960764 0.014402093 0.011224102 0.0695573 0.008554472 0.031022755 0.012162464 0.05412429 0.008483948 0.006290355 0.011257405 0.042545117 0.0033121826 0.0028748354 0.0063794903 0.028505929 0.0044880738 0.01313266 0.015262584 0.006917236 0.0014687617 0.002103968 0.0021911438 0.003978733 0.0014717003 0.0022513831 0.0020358928 0.0035320807 0.0005117893 0.00081984233 0.0007787033 0.0023365996 0.001006927 0.0015696504 0.0021309045 0.0009555032 0.00048436323 0.0004858325 0.0010573714 0.00047162973 0.0003888619 0.000504443 0.00046526297 0.00043000095 0.00038984139 0.00037759764 0.0003354791 0.0003751489 0.00036927187 0.00038200538 0.0005514591 3227.0 9.645801 31127.0 0.031516045 0.001285058 0.0026022424 0.00070678187 0.076171815 0.0016705754 0.0010280464 0.0019597134 0.006007646 0.0014135637 0.0008995406 0.0042728176 0.002570116 0.0030198863 0.008224371 0.0049474733 0.02027179 0.006361037 0.002923507 0.020207537 0.004497703 0.0011886787 0.0014456903 0.0011244258 0.0084171295 0.014135638 0.0026022424 0.00597552 0.0038230475 0.0013814373 0.003919427 0.0010922992 0.008706268 0.022649147 0.0024416102 0.010826614 0.055578757 0.013814373 0.0052366112 0.008545635 0.05673531 0.0077746008 0.00070678187 0.0012529315 0.024062712 0.0036945418 0.0033732771 0.002505863 0.0109551195 0.0008674141 0.0048832204 0.009541555 0.0077424743 0.004690462 0.0072284513 0.014199891 0.0036302889 0.0005782761 0.0016063225 0.0006746554 0.0042085648 0.0022167251 0.0036302889 0.005011726 0.0049795997 0.020303916 0.003790921 0.03636714 0.017798053 0.053265654 0.009380924 0.012047418 0.008063739 0.032801107 0.0008674141 0.002923507 0.018665466 0.009156038 0.021524722 0.026343688 0.012368683 0.00070678187 0.03196582 0.02117133 0.048832204 0.012240177 0.0042085648 0.00642529 0.0062646577 0.0058148876 0.0024094838 0.00048189674 0.004080059 0.004080059 0.002345231 0.0010922992 5.679883 0.0 40.0 0.0 8.0 1022952.0 1032192.0 1.0 12.0 531.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 741376.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188928.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -741888.0 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 -5.3905277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7708697 0.0 0.0 0.0 0.0 5.991831 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.070026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.095792 0.0 3.6275353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188710.0 0.0 0.0 0.0 0.0 38988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -741073.0 0.0 28524.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 2.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 -2.0 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 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 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -2.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -3.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 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 -1.0 -2.0 -1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 2.0 2.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 3.0 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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 1.0 0.0 0.0 2.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 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 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 2.0 -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 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 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 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 396.0 919280.0 320.0 919676.0 28524.0 999424.0 38988.0 954368.0 17384.0 1005568.0 2488.0 1028096.0 28.0 855024.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 855056.0 0.0 0.0 4368.0 745472.0 0.0 0.0 0.0 0.0


Input: 0.012245127 0.0044626035 0.003995823 0.004185319 0.0040878947 0.0039137444 0.0038891204 0.0041771107 0.00396656 0.0039769094 0.003898042 0.0039237365 0.003961921 0.0038284534 0.0040236586 0.004148205 0.0040272274 0.0038962578 0.0039451485 0.0039048225 0.003943007 0.0038052571 0.0038951873 0.0038145354 0.0039372975 0.003813465 0.0039080344 0.0037777785 0.0040079565 0.0038787713 0.0039183833 0.0039590662 0.004010098 0.00393587 0.0038791283 0.0038516496 0.0039529996 0.003885195 0.0038388025 0.003895901 0.003926948 0.00385843 0.0038363044 0.0038798419 0.0039415797 0.0038605712 0.0039208815 0.0038491515 0.004014737 0.003909819 0.0038887635 0.0038791283 0.003861285 0.0038284534 0.003783845 0.0038009747 0.0038687792 0.0038545046 0.003895901 0.0038948304 0.003964419 0.0038520065 0.0039023245 0.003768143 0.004083612 0.0038944734 0.0038644967 0.00398369 0.0038919754 0.003933015 0.0038545046 0.0038916185 0.0039337287 0.0038573595 0.0039947527 0.003892689 0.003926948 0.003794908 0.003903038 0.0039233794 0.004006886 0.0038566457 0.0039451485 0.0038923323 0.0039451485 0.0038355906 0.0037692136 0.003832022 0.003996537 0.003818818 0.0038680653 0.0038181043 0.0038801988 0.003837018 0.0038991126 0.0037899117 0.0039155283 0.0038077552 0.0038684222 0.0037585078 0.0038909048 0.0038587868 0.0037999041 0.0038170337 0.0038359475 0.0038248848 0.0038195318 0.0038152493 0.0039158855 0.0038070413 0.003903395 0.0038288103 0.003961921 0.0038148924 0.0038801988 0.0038591437 0.003972984 0.0040357923 0.0038102532 0.0038181043 0.0038166768 0.0038384455 0.003829524 0.0038437985 0.003905893 0.0038662811 0.0038545046 0.0038127513 0.00439123 0.0039212382 0.0038884068 0.0039519286 0.003845583 0.0038437985 0.0037420918 0.0038602143 0.00398369 0.0040036743 0.003937654 0.0038948304 0.0037966922 0.003893046 0.0038659242 0.0038016883 0.003890191 0.0038459396 0.0038327356 0.0038694928 0.0038409436 0.003853434 0.0037934806 0.003836661 0.003914815 0.0038284534 0.0038166768 0.0037774215 0.0038095394 0.0038609281 0.0038009747 0.0038573595 0.0039023245 0.0038648536 0.0038259553 0.0038006178 0.003892689 0.0037756371 0.0037874137 0.0037820607 0.0038684222 0.003794908 0.0037899117 0.0038195318 0.0038434416 0.0037906256 0.0037110446 0.0037467312 0.0039604935 0.0036949855 0.003832379 0.003778492 0.0038537907 0.00384023 0.0037988336 0.0037460173 0.003963705 0.0038052571 0.0038388025 0.0037552959 0.0038209592 0.003693558 0.003747088 0.0037874137 0.004078616 0.0039258776 0.0038305945 0.0038409436 0.003861285 0.0038837674 0.0038338064 0.0038602143 0.0038609281 0.0038280964 0.0037756371 0.0038077552 0.0038352339 0.0038209592 0.003773853 0.0038413005 0.003906964 0.0038227434 0.0038038297 0.003808112 0.0038944734 0.0038063277 0.0037274603 0.0038091827 0.0038252415 0.0038891204 0.0038420141 0.003757794 0.003861285 0.0038684222 0.0038541476 0.0037781352 0.00397798 0.0038148924 0.0038673517 0.0037449468 0.00406791 0.003821316 0.0038041864 0.003776708 0.004044714 0.0039087483 0.003829524 0.0038916185 0.0038655673 0.0038073983 0.0038223865 0.0037645744 0.004039718 0.0037695705 0.0038777008 0.003829167 0.0039237365 0.0037642175 0.003826312 0.003863783 0.0039854744 0.0038163199 0.0038548613 0.003843085 0.0039016108 0.003848081 0.0038923323 0.0038644967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048828125 1.3568328e-05 4.284735e-06 1.19615515e-05 0.00011997258 6.569927e-05 1.428245e-06 1.428245e-06 9.640654e-06 1.963837e-06 1.7853063e-06 1.0711838e-06 1.428245e-06 1.6067756e-06 6.248572e-06 8.9265313e-07 0.0019724064 4.320441e-05 3.124286e-05 5.802245e-05 0.00036652337 0.00029600377 1.0176245e-05 7.6768165e-06 1.4996573e-05 9.1050615e-06 1.6067755e-05 1.1783021e-05 1.160449e-05 1.0890368e-05 5.5701556e-05 9.640654e-06 0.00074018794 1.9816898e-05 8.926531e-06 5.730833e-05 9.390711e-05 5.177388e-05 2.338751e-05 7.855348e-06 2.4815756e-05 5.8915107e-06 4.284735e-06 4.1062044e-06 4.284735e-06 5.355919e-06 2.5172818e-05 1.9816898e-05 0.0012229348 3.9276736e-05 7.212637e-05 5.998629e-05 6.373543e-05 7.159078e-05 2.5351348e-05 1.5710695e-05 9.230033e-05 1.8745715e-05 1.6603348e-05 1.446098e-05 2.2494858e-05 2.285192e-05 4.9988575e-05 1.999543e-05 0.0005854019 4.266882e-05 1.9102776e-05 5.9272166e-05 5.6594206e-05 4.266882e-05 0.00010140539 5.266653e-05 7.837494e-05 7.4982863e-06 6.784164e-06 5.5344494e-06 5.8915107e-06 8.390939e-06 1.8031593e-05 6.605633e-06 0.00019049217 1.4818042e-05 1.999543e-05 1.05333065e-05 1.19615515e-05 7.6768165e-06 4.2311756e-05 1.6781878e-05 7.141225e-07 5.71298e-06 6.9626944e-06 2.85649e-06 2.053102e-05 8.926531e-06 4.820327e-06 5.355919e-07 0.00013907536 1.4639511e-05 1.0354776e-05 1.3032735e-05 1.713894e-05 1.19615515e-05 6.730604e-05 4.552531e-05 5.71298e-06 4.9988575e-06 5.355919e-06 6.4271026e-06 4.6417963e-06 6.4271026e-06 6.605633e-06 6.4271026e-06 0.00016085609 1.6246286e-05 1.3389797e-05 1.4639511e-05 1.7853063e-05 1.3925389e-05 1.428245e-05 1.5889225e-05 1.2675674e-05 1.3032735e-05 1.1068899e-05 1.0711838e-05 1.3211266e-05 1.19615515e-05 1.3925389e-05 1.19615515e-05 0.00011033192 1.3746858e-05 9.997715e-06 9.283593e-06 5.534449e-05 5.534449e-05 9.640654e-06 8.926531e-06 1.2140083e-05 1.19615515e-05 1.3211266e-05 1.1068899e-05 1.0176245e-05 1.1783021e-05 1.0711838e-05 1.19615515e-05 0.0002961823 5.6415676e-05 6.516368e-05 4.981004e-05 5.837951e-05 5.195241e-05 6.212866e-05 4.8024736e-05 4.8024736e-05 5.195241e-05 4.356147e-05 4.641796e-05 7.176931e-05 4.6953555e-05 5.766539e-05 4.2490286e-05 0.066646375 0.062155616 0.062075276 0.0616302 0.061768204 0.061330445 0.0611146 0.061710358 0.06233218 0.06131134 0.06087912 0.060813956 0.06150487 0.061129957 0.061574496 0.06178534 12847.0 5.6498017 72583.0 0.010649877 0.01099431 0.011021865 0.010236557 0.010360553 0.010622322 0.009272143 0.010401885 0.010484548 0.010057451 0.010484548 0.010002342 0.010966755 0.00996101 0.010842759 0.010512103 0.0097956825 0.010250334 0.011008088 0.010264112 0.009823237 0.01058099 0.010002342 0.009878346 0.0105672125 0.009947233 0.011090752 0.010250334 0.010553435 0.0097819045 0.010016119 0.009974788 0.011076974 0.010801427 0.010332998 0.010126338 0.010663654 0.010553435 0.010085006 0.010498326 0.010126338 0.010484548 0.010029897 0.010140115 0.01099431 0.010140115 0.010236557 0.010319221 0.010236557 0.010346776 0.009740572 0.011090752 0.010016119 0.010498326 0.010305444 0.010429439 0.010360553 0.0096028 0.010250334 0.01052588 0.010332998 0.010415662 0.010429439 0.0097819045 0.01052588 0.011159638 0.010828982 0.011063197 0.011035642 0.011724508 0.009685463 0.009892124 0.0102090025 0.01120097 0.01011256 0.010332998 0.012013832 0.010828982 0.010911646 0.00980946 0.010884091 0.010388107 0.011063197 0.01099431 0.010677432 0.010704986 0.010016119 0.009837015 0.010760095 0.010718764 0.010002342 0.0097956825 0.010622322 0.010649877 0.009933456 0.009988565 6.583503 0.0 0.0 0.0 35.0 2802176.0 7708672.0 0.0 1.0 28.0 1.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 5103616.0 1024.0 4096.0 11.0 4.0 8.0 11.0 11.0 1789440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 647168.0 0.0 0.0 0.0 0.0 0.0 0.0 25.103739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.932048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.969295 0.0 0.0 0.0 0.0 0.0 0.0 5660672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 1675264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81.0 5267456.0 1612.0 7343176.0 1673108.0 5664768.0 0.0 0.0 0.0 0.0 8.0 7343060.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 7343068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0