Input: 0.15391323 0.009159633 0.006238665 0.005087716 0.007925851 0.0036621094 0.0029166085 0.0030212402 0.008222307 0.0027117047 0.0027553013 0.0025939941 0.005946568 0.0034223285 0.002367292 0.009447371 0.005693708 0.0021929059 0.0022147042 0.002306257 0.0036708286 0.0040762764 0.0024152484 0.0017830984 0.0036577496 0.0017482212 0.0018310547 0.0019967216 0.0027683803 0.0023454938 0.001852853 0.0019574848 0.0056370324 0.0019182478 0.0019008091 0.0019618443 0.013436453 0.0025634766 0.0018441336 0.0016479492 0.0022583008 0.001599993 0.001813616 0.0032043457 0.0035226005 0.0028294155 0.0026942661 0.00163923 0.0024850029 0.0017918178 0.0020272392 0.0047171456 0.0022844586 0.0025285992 0.0018746512 0.0016261509 0.0026942661 0.002960205 0.002105713 0.0033656529 0.0030299595 0.0037711007 0.0021493095 0.0061253137 0.0049874443 0.009124756 0.00755964 0.0028294155 0.005432129 0.0065612793 0.0030256 0.0031040737 0.0028163365 0.0030648368 0.0018964495 0.0018920898 0.0033220563 0.0034005302 0.00251988 0.0030648368 0.0068708146 0.0035095215 0.003740583 0.004167829 0.003605434 0.0031215122 0.004224505 0.0035182408 0.0026288715 0.0037711007 0.0016217913 0.002332415 0.0028032574 0.0029384068 0.0029514858 0.0039018902 0.0018310547 0.003540039 0.0018615723 0.002746582 0.002833775 0.005353655 0.0037100655 0.0020926339 0.005606515 0.00428554 0.0041983468 0.0017482212 0.0036664691 0.0021580288 0.0031869072 0.003553118 0.0026288715 0.0016043527 0.004106794 0.0037144253 0.009913853 0.009438651 0.0019836426 0.0020315987 0.0021144322 0.0018964495 0.0015563965 0.0015738352 0.0029166085 0.0026157924 0.0021318707 0.0024632046 0.0052097864 0.0037013462 0.0017830984 0.012756348 0.007106236 0.006984166 0.0018877302 0.0018223354 0.0038757324 0.006892613 0.0049874443 0.017874582 0.002633231 0.008728027 0.0016348703 0.0016741072 0.002859933 0.0014125279 0.0014430454 0.0014212473 0.003160749 0.00163923 0.0015215193 0.0013645717 0.0019836426 0.0016043527 0.0014081682 0.001713344 0.0020272392 0.001599993 0.0016087124 0.0014256069 0.0028424945 0.003012521 0.0017656599 0.0021100726 0.0024370465 0.002332415 0.0017438616 0.0015694754 0.0021885464 0.0019705635 0.0016871861 0.0017089844 0.0018310547 0.0013427734 0.0020621163 0.0022365025 0.0018659319 0.0016087124 0.0016174316 0.0015302385 0.0019226074 0.0015476772 0.0021623883 0.0020708356 0.002280099 0.0018877302 0.0018659319 0.0017307827 0.0027029854 0.0031345913 0.0024544853 0.0034702846 0.009129115 0.0047869002 0.0029514858 0.0052708215 0.0061427527 0.002118792 0.004132952 0.004464286 0.0034310478 0.0048958915 0.0028294155 0.0021929059 0.004638672 0.0021100726 0.0020969936 0.002367292 0.002886091 0.003261021 0.002746582 0.0024937221 0.0017787388 0.0019313267 0.002066476 0.002306257 0.0029340473 0.0033874512 0.0019182478 0.0032217843 0.0020228794 0.0026724678 0.0019705635 0.0022844586 0.0033438546 0.002467564 0.0018484934 0.0017438616 0.0022365025 0.0019051688 0.0018572126 0.0018048967 0.010297502 0.0036577496 0.0016871861 0.004952567 0.0026942661 0.0019051688 0.0019182478 0.0022495815 0.0033961704 0.0018354143 0.0033351353 0.0035443988 0.002053397 0.0017656599 0.0043509346 0.005471366 0.004167829 0.0033961704 0.0024501255 0.0025634766 0.0030909947 0.0021972656 0.004425049 0.024222238 0.031390134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008182542 0.00012699692 8.3204875e-05 0.00038536996 2.1896021e-06 6.568806e-06 8.7584085e-06 3.5033634e-05 9.853209e-05 2.1896021e-06 2.1896021e-06 6.568806e-06 6.568806e-06 6.568806e-06 0.0 1.5327214e-05 0.0039653694 3.0654428e-05 3.9412836e-05 1.094801e-05 2.6275224e-05 7.2256866e-05 0.00012699692 3.9412836e-05 5.0360846e-05 1.5327214e-05 1.5327214e-05 1.5327214e-05 1.7516817e-05 4.1602438e-05 8.7584085e-06 8.7584085e-06 0.0036982377 0.00012699692 8.3204875e-05 0.00038536996 2.1896021e-06 6.568806e-06 8.7584085e-06 3.5033634e-05 9.853209e-05 2.1896021e-06 2.1896021e-06 6.568806e-06 6.568806e-06 6.568806e-06 0.0 1.5327214e-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 0.006542531 7.2256866e-05 0.00010072169 0.00013356573 0.000654691 0.00039631798 0.0002058226 0.00014670333 7.882567e-05 4.5981644e-05 8.977368e-05 0.00015327214 4.379204e-05 5.9119255e-05 4.379204e-05 0.00020144338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011751594 0.00047514364 0.00049703964 0.0003109235 0.0008517552 0.0003240611 0.0006590702 0.00049047085 0.00050141884 0.00016640975 0.00023209781 0.00017297856 0.0003350091 0.000214581 0.00020144338 0.0007532231 0.0105210375 0.00028683787 0.001447327 0.00035252594 0.002261859 0.0013903973 0.005727999 0.0031376998 0.0005517797 0.00012261771 0.000116048905 0.00016859935 0.00030435467 8.758408e-05 0.00012918652 0.00029997548 0.009949552 0.00024304583 0.0022749966 0.0010510089 0.00473173 0.0034858463 0.0073264083 0.004190898 0.00042259318 0.00012480731 0.00017297856 0.00016859935 0.00041821398 0.00030873387 0.00048609165 0.0005189357 0.0060433014 0.0007641711 0.0008189112 0.0010860426 0.0015568071 0.00095685606 0.002618764 0.0013816389 0.00040507637 0.00026275223 0.0002189602 0.00020144338 0.00036128433 0.00017078896 0.00016422015 0.00092620164 0.007394286 0.0008714616 0.0011845747 0.0015261526 0.0009831314 0.00083642796 0.00068096624 0.0007816879 0.0024348374 0.00037223235 0.00023209781 0.00056053814 0.0009043056 0.00040069717 0.0009962689 0.002261859 0.04229873 0.0057411366 0.008909491 0.0058506164 0.012977771 0.008933576 0.004869675 0.0080862 0.023722148 0.0020998283 0.0031092349 0.003455192 0.012550799 0.0052856994 0.0076066772 0.014906811 0.06575156 0.014530199 0.015924975 0.013776976 0.02096544 0.019767728 0.010446591 0.014751349 0.041613385 0.005815583 0.009288291 0.008480329 0.028517377 0.012907704 0.016761404 0.032539677 0.021059591 0.019261928 0.019189673 0.020753048 0.01969766 0.019575043 0.019664817 0.019656057 0.019783054 0.019117415 0.0193736 0.020437745 0.020185942 0.020398332 0.02023849 0.019993257 1057.0 12.222327 12919.0 0.034213174 0.002322161 0.0042572953 0.0022447559 0.007972754 0.011301184 0.002322161 0.0018577289 0.0031736202 0.0023995666 0.0018577289 0.0019351343 0.0029414042 0.011455995 0.016487345 0.0020899451 0.0053409706 0.0044121062 0.003947674 0.0044121062 0.003947674 0.0030188095 0.0042572953 0.0035606471 0.0057279975 0.008746807 0.0027865933 0.005263565 0.0035606471 0.0037928633 0.0022447559 0.0031736202 0.0020899451 0.018345073 0.0044121062 0.014861831 0.012617076 0.022137936 0.009598266 0.008746807 0.008282375 0.016642155 0.0034832417 0.003328431 0.011688211 0.008050159 0.01253967 0.015790695 0.017648425 0.0059602135 0.019119127 0.023299016 0.0144748045 0.006424646 0.008437186 0.0076631317 0.0021673504 0.0044121062 0.0014707021 0.0020899451 0.010140103 0.0029414042 0.0020899451 0.022292746 0.0022447559 0.03576128 0.0045669167 0.021363882 0.013623346 0.060298786 0.0072761048 0.007972754 0.0141651835 0.031736203 0.007972754 0.0036380524 0.024847124 0.012230049 0.030729933 0.036690146 0.0147070205 0.0029414042 0.039399333 0.03560647 0.043888845 0.0144748045 0.0057279975 0.004102485 0.0044895117 0.008127564 0.0018577289 0.0012384859 0.0034058364 0.0013932966 0.0014707021 0.0017803236 5.947128 1.0 1.0 0.0 3.0 229376.0 237568.0 0.0 0.0 103.0 0.0 1.0 0.0 0.0 0.0 1187696800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 102400.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.4481688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.130129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.698448 0.0 7.8580236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99156.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 132348.0 1568.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 428.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.015640767 0.0037037886 0.0027291074 0.0034056508 0.006008623 0.0027749748 0.003365517 0.00335405 0.0041796626 0.0026201725 0.0027692413 0.0033139163 0.005142877 0.00378979 0.003285249 0.0041567287 0.0034056508 0.0044147326 0.0056990185 0.0029871112 0.003910192 0.0044778003 0.0035260527 0.0034400513 0.0047128703 0.0035833868 0.0034228512 0.0042943307 0.0036177873 0.0060258233 0.0033597834 0.0040879278 0.0029183102 0.002505504 0.0028495092 0.004064994 0.004626869 0.0029871112 0.0029641776 0.0030731126 0.0021958994 0.0026373728 0.0034687184 0.0041395286 0.003749656 0.0042885975 0.0037267222 0.0035375196 0.0033311164 0.0036235207 0.0035375196 0.0038700579 0.00357192 0.0035891202 0.0038643244 0.0036865885 0.0031419136 0.0034515182 0.0029240437 0.004214063 0.0043860655 0.0030215117 0.0042599305 0.0044720666 0.0034687184 0.003365517 0.0025112375 0.00311898 0.0021500322 0.0034973857 0.004861939 0.004093661 0.0036923217 0.0043057976 0.0025972389 0.004093661 0.0020582974 0.003978993 0.0033425833 0.0044835336 0.0032393816 0.0032221815 0.0034285844 0.0030329786 0.0028036418 0.004145262 0.0046440694 0.0046498026 0.0035604532 0.0036636547 0.004202596 0.005320613 0.0034973857 0.004735804 0.0043401984 0.005154344 0.0024711036 0.0029527107 0.0026603064 0.0044089993 0.0033196495 0.0040305937 0.0031304467 0.0038413906 0.003898725 0.004787405 0.0035260527 0.0050970092 0.0029527107 0.0053722137 0.0042197965 0.004936474 0.0030673791 0.0035833868 0.0034113843 0.0034744518 0.0042484635 0.0057047517 0.003738189 0.003956059 0.0054295477 0.0038815245 0.0025972389 0.003187781 0.0052632787 0.003778323 0.0041108616 0.004420466 0.0024137695 0.0027463078 0.0031132465 0.006243693 0.0027864417 0.005297679 0.004036327 0.0036464545 0.0028781763 0.0040420606 0.003187781 0.010348821 0.0040707276 0.004902073 0.0038356574 0.0040707276 0.0024940372 0.003749656 0.004133795 0.0036980552 0.0022876342 0.003749656 0.0042255297 0.003973259 0.0022188332 0.00268324 0.0038241905 0.0035891202 0.0027176405 0.0031935144 0.003612054 0.004064994 0.001914962 0.0033311164 0.0021500322 0.0035776533 0.0033827173 0.0034056508 0.0028151087 0.0038413906 0.0029412438 0.0035203192 0.0028839097 0.00400766 0.0036980552 0.0044319327 0.0036923217 0.0044663334 0.002723374 0.0038643244 0.003216448 0.0033827173 0.0045924685 0.0045122006 0.0043172645 0.005074076 0.0036349876 0.00335405 0.004145262 0.0037840565 0.004856206 0.0032623154 0.004667003 0.004311531 0.004351665 0.0035031189 0.0034171178 0.005355013 0.0058480874 0.0035203192 0.0042885975 0.005005275 0.0033999174 0.00400766 0.0033999174 0.0041395286 0.006662233 0.0036693881 0.0033081828 0.003829924 0.0032393816 0.00313618 0.0041108616 0.004202596 0.0036865885 0.0034859187 0.0045580682 0.0043459316 0.0026889734 0.00357192 0.0050970092 0.005022475 0.003887258 0.0039044584 0.004185396 0.0042885975 0.0038815245 0.005033942 0.005171544 0.0046842033 0.0032737823 0.004064994 0.0037668562 0.0034572517 0.0028495092 0.003365517 0.0036005871 0.0035891202 0.0036464545 0.0044548665 0.0037668562 0.0036063206 0.0058251536 0.006008623 0.003778323 0.0036235207 0.0031017796 0.003256582 0.004638336 0.0031533805 0.0071897074 0.0035088523 0.0028323089 0.004311531 0.005871021 0.0036636547 0.004638336 0.009070269 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027505548 0.0004680566 8.0898666e-05 6.934172e-05 0.0003178162 0.00027736687 0.00015024039 0.00020802514 0.0004767243 4.911705e-05 7.5120195e-05 3.7560098e-05 0.00052006287 8.3787905e-05 4.622781e-05 0.00030625926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013166258 0.010485046 0.0007540912 0.0020166882 0.005189072 0.0063043176 0.0009938979 0.0040218197 0.013183594 0.00038715792 0.0006818602 0.00045649963 0.0087370565 0.0020918085 0.0018028846 0.006651026 0.0021149223 0.0012337047 0.0004998382 0.0007945405 0.0005894046 0.0008869961 0.0007627589 0.0008349898 0.0011816984 0.00022536058 0.00023113906 0.00024847448 0.0008841069 0.00027736687 0.00036693324 0.00070208486 0.049590886 0.05293662 0.05239922 0.056030996 0.049498428 0.056334365 0.059706107 0.05896646 0.053000186 0.053734053 0.05328333 0.063210756 0.05790611 0.061332747 0.060283955 0.067111224 648.0 6.057099 3925.0 0.015286624 0.007643312 0.009681528 0.011210191 0.014267516 0.008917198 0.009681528 0.0045859874 0.0066242036 0.009426751 0.00866242 0.011974522 0.011719746 0.012738854 0.015541402 0.007643312 0.014522293 0.014522293 0.015031847 0.007643312 0.009171975 0.006878981 0.009426751 0.009681528 0.010700637 0.010191083 0.007388535 0.010955414 0.011464968 0.0061146496 0.009681528 0.009681528 0.003821656 0.00866242 0.005859873 0.008152866 0.006878981 0.009936306 0.010700637 0.009681528 0.010191083 0.009171975 0.008917198 0.013248407 0.005859873 0.010700637 0.008917198 0.009681528 0.005859873 0.0056050955 0.007643312 0.0066242036 0.011210191 0.01044586 0.013503185 0.00866242 0.008917198 0.00866242 0.008152866 0.009936306 0.010191083 0.013503185 0.01044586 0.007133758 0.007388535 0.01477707 0.008152866 0.017834395 0.013248407 0.019363057 0.009681528 0.015286624 0.011210191 0.019363057 0.007643312 0.01477707 0.006878981 0.020636942 0.016815286 0.01656051 0.010700637 0.006878981 0.014522293 0.012738854 0.017070064 0.012993631 0.00866242 0.009936306 0.009681528 0.012738854 0.0050955415 0.008917198 0.009426751 0.009171975 0.00866242 0.007643312 6.5096636 0.0 2.0 0.0 2.0 174416.0 172032.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1533751200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 128000.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 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 -128000.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9501495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.95642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.84294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9309654 0.0 7.883681 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17778.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -127800.0 0.0 2304.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 149008.0 180.0 149096.0 2304.0 159744.0 0.0 0.0 13648.0 160768.0 7960.0 163840.0 84.0 147920.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 148008.0 0.0 0.0 596.0 135168.0 0.0 0.0 0.0 0.0


Input: 0.09471445 0.005224488 0.0046865307 0.004478133 0.010095185 0.0027430987 0.004434515 0.0019676643 0.0020549006 0.0015751008 0.0035573046 0.002413539 0.014781715 0.0025443935 0.014621782 0.0021518301 0.0014248604 0.0030241935 0.0015654078 0.0021712158 0.00093536754 0.0009111352 0.0014927109 0.001022604 0.001138919 0.0009111352 0.00074635545 0.0008869029 0.0011631513 0.0009983716 0.0060726195 0.0017689593 0.004943393 0.0008675171 0.000741509 0.00078512717 0.0015217897 0.0007269696 0.00077543425 0.00076089485 0.0030145007 0.00076574134 0.001347317 0.00081420597 0.0011534585 0.008277761 0.0034652217 0.0010662221 0.002379614 0.0013085452 0.0011437655 0.0012746201 0.0077543426 0.0012164625 0.0013279312 0.0010710686 0.0008238989 0.00080451305 0.001138919 0.0006881979 0.0011873837 0.0008965958 0.001410321 0.0012164625 0.0024910825 0.001972511 0.0013424705 0.0018755816 0.0018707351 0.0012891594 0.00084328477 0.0010516827 0.0018125776 0.0016090261 0.0006155009 0.0007124302 0.0012358483 0.0011001474 0.0008578241 0.00075120194 0.0013424705 0.00077543425 0.0008675171 0.0014975574 0.0011776908 0.0008626706 0.0006833514 0.0006106545 0.0011001474 0.0006300403 0.00057188276 0.00043618176 0.00039741004 0.000605808 0.0004943393 0.003552458 0.0009935251 0.005670363 0.0012988524 0.0030629653 0.0026413228 0.008122673 0.0011873837 0.0017301877 0.0015217897 0.005713981 0.0010080645 0.0010080645 0.0039014036 0.0029127249 0.005020937 0.0051227123 0.0026170905 0.0005670363 0.0051227123 0.004104955 0.008345611 0.002287531 0.00094990694 0.0007948201 0.001483018 0.0015072504 0.0057672923 0.0015217897 0.0006348868 0.0010419898 0.0010807614 0.00092082814 0.0017108019 0.0010274503 0.00054280396 0.0008190524 0.00051857164 0.0008384383 0.0070322193 0.00073181605 0.0007269696 0.0008675171 0.00054765044 0.00095959986 0.0006348868 0.00093536754 0.0006300403 0.00057672925 0.00075120194 0.000678505 0.00048949284 0.0004943393 0.00042648884 0.00051372516 0.0006397333 0.0004991858 0.00047979993 0.00052826456 0.00043618176 0.00043618176 0.00058642216 0.0005912686 0.00047495347 0.00046041407 0.0006591191 0.0005815757 0.0004991858 0.00051857164 0.00051372516 0.000470107 0.00051372516 0.00054280396 0.00058642216 0.00052341813 0.00042648884 0.0004167959 0.00047979993 0.0004846464 0.00042648884 0.00060096156 0.00060096156 0.00046041407 0.0007802807 0.00042164238 0.0005961151 0.00040710298 0.0006736585 0.00038771713 0.0015508685 0.0004458747 0.00054280396 0.0005815757 0.00047495347 0.00055734336 0.0006445797 0.00054765044 0.0008723635 0.00060096156 0.00057188276 0.0006397333 0.00050887873 0.00036833127 0.00053795753 0.00039741004 0.0006881979 0.0005815757 0.0006155009 0.00056218985 0.0017156482 0.0004410282 0.0006494262 0.00051372516 0.00074635545 0.00046526056 0.00053795753 0.0005670363 0.00057672925 0.00040710298 0.00047979993 0.0005815757 0.00053795753 0.0006881979 0.0007027373 0.0007027373 0.0006542726 0.00057188276 0.0007269696 0.00047495347 0.00069304433 0.0006106545 0.0005524969 0.00077058777 0.0006106545 0.00055734336 0.0004846464 0.00051372516 0.0008335918 0.00073666254 0.0006736585 0.0006155009 0.0006300403 0.0006978908 0.0006106545 0.0008093595 0.00075604836 0.0006445797 0.0006736585 0.00070758373 0.0006978908 0.00076089485 0.00051372516 0.0006736585 0.00075604836 0.00092082814 0.013061221 0.0017738058 0.0017689593 0.0015944866 0.0025056219 0.51495135 0.015131836 2.1972657e-05 0.0 2.9296874e-05 0.0 1.4648437e-05 1.4648437e-05 3.6621095e-05 0.0 0.0 7.3242186e-06 2.1972657e-05 0.0 4.3945314e-05 2.9296874e-05 0.029648438 0.0029833985 0.00028320312 0.00013916015 6.347656e-05 8.056641e-05 2.6855469e-05 7.080078e-05 5.126953e-05 4.1503907e-05 2.9296874e-05 5.3710937e-05 0.00010253906 0.00013183594 9.521484e-05 0.00015136719 0.0606958 0.012265625 0.00046142578 0.00014160156 0.000100097655 0.00017578126 5.126953e-05 9.765625e-05 5.859375e-05 7.8125e-05 8.544922e-05 8.789063e-05 6.1035156e-05 7.8125e-05 3.173828e-05 0.00038085936 0.12084473 0.012988281 0.0039282227 0.0007885742 0.0004345703 0.0005102539 0.00033691406 0.0003857422 0.00359375 0.00057128904 0.000534668 0.00040039062 0.00061279297 0.00072265626 0.00080078124 0.0009960937 0.17739502 0.0055322265 0.001069336 0.00032714845 0.00017578126 0.00024169922 0.00012207031 0.00013916015 0.0007519531 0.0002807617 0.00029541017 0.0002685547 0.00021728515 0.00028808592 0.00020751954 0.00045410157 0.044628907 0.001550293 0.0005517578 0.00013427735 0.00014160156 0.00012207031 9.2773436e-05 0.00010986328 0.00049560546 0.00020507812 8.789063e-05 0.00011962891 7.324219e-05 0.00020751954 0.00018310547 0.00018798828 0.015737304 0.0024365233 0.0010107422 0.004309082 0.004291992 0.00028564452 0.000234375 0.00020751954 0.00092041015 0.0043481444 0.00021484375 0.0002783203 0.00025634764 0.00029541017 0.00024658203 0.00032226564 0.045341797 0.009645996 0.0013061523 0.003400879 0.0028198243 0.0010620117 0.00059082033 0.0039282227 0.003059082 0.0026879883 0.00024658203 0.00025878905 0.0002734375 0.00041748048 0.00029785157 0.00025634764 0.029748535 0.03187256 0.003491211 0.0061499025 0.0049389647 0.005422363 0.0044555664 0.022097168 0.013574218 0.0016015625 0.00029052736 0.00018066406 0.0001977539 0.000534668 0.00037109375 0.00023193359 0.009589843 0.029909668 0.003342285 0.0048706057 0.0036157228 0.0043261717 0.0027929686 0.013679199 0.007097168 0.0015185546 0.00048339844 0.00037353515 0.0008203125 0.00056640623 0.00041748048 0.00037353515 0.005812988 0.023857422 0.0038793946 0.0037280275 0.0019775392 0.0026953125 0.0017480468 0.0038623046 0.0026293946 0.0015991211 0.00052246096 0.0005541992 0.00048583985 0.0009594727 0.00039794922 0.00052246096 0.0005810547 0.009448242 0.0013745117 0.0016210937 0.0012915039 0.00093017577 0.00032958985 0.0005493164 0.0004370117 0.00081787107 0.00033203125 0.00029541017 0.0009619141 0.0005615234 0.00026123048 0.00048583985 0.00030273438 0.0023120118 0.00034667968 0.00017822266 0.00014404296 0.00029541017 0.00018798828 0.00021240234 0.00014892578 0.00013916015 0.00015380859 0.0001953125 0.00012939452 0.00011474609 0.00016357422 0.00013427735 0.00014404296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007949219 0.0052978517 0.005180664 0.0056298827 0.005358887 0.0046972656 0.0054443358 0.005891113 0.005266113 0.0052075195 0.005090332 0.005493164 0.005427246 0.0059545897 0.005847168 0.0062646484 766.0 22.185379 16994.0 0.008414734 0.0005295987 0.00023537719 0.00058844296 0.009709309 0.00023537719 0.00023537719 0.0008238202 0.00029422148 0.00035306579 0.0010591974 0.00011768859 0.0038248794 0.0034129692 0.018300576 0.00029422148 0.007179004 0.006884783 0.0056490526 0.004119101 0.0030010592 0.0021183947 0.004354478 0.0025891492 0.0014711075 0.0011180417 0.0050606094 0.00011768859 0.008826645 0.0021183947 0.00917971 0.006884783 0.015770271 0.012239614 0.0044133225 0.01382841 0.013769566 0.007179004 0.004177945 0.0034718136 0.0028833705 0.011592327 0.00076497585 0.0010591974 0.003942568 0.0047075436 0.0036483465 0.0010591974 0.0064140284 0.0023537718 0.0052371426 0.010297752 0.007179004 0.0032364363 0.0024126163 0.0013534188 0.004119101 0.0015299517 0.0025891492 0.00035306579 0.00029422148 0.00035306579 0.00088266446 0.034012005 0.0004119101 0.055607863 0.0085324235 0.025479581 0.023066964 0.08379428 0.007179004 0.013122278 0.008297046 0.05654937 0.001000353 0.0042367894 0.03736613 0.027892197 0.050547253 0.0448982 0.019653996 0.00058844296 0.049076144 0.038072262 0.08361775 0.018594798 0.003766035 0.0035306579 0.01094504 0.01000353 0.005001765 0.00070613157 0.00047075437 0.00070613157 0.0010591974 0.0 5.3735294 0.0 0.0 0.0 2.0 206336.0 233472.0 1.0 0.0 41.0 1.0 1.0 0.0 0.0 0.0 1539933700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 13312.0 1024.0 4096.0 7.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -512.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189952.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2264097 0.0 -4.0674453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.952978 0.0 0.0 0.0 0.0 3.6787546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4601529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.236983 0.0 4.875811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189890.0 0.0 0.0 0.0 0.0 168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12642.0 0.0 480.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 212716.0 480.0 225280.0 168.0 221184.0 0.0 0.0 64.0 229376.0 28.0 25488.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 25520.0 0.0 0.0 416.0 24576.0 0.0 0.0 72.0 25228.0


Input: 0.074235916 0.004722595 0.0040130615 0.0036506653 0.0040779114 0.0037174225 0.0036754608 0.0036354065 0.004558563 0.0035362244 0.0035133362 0.0033359528 0.0041446686 0.0034103394 0.003396988 0.0041332245 0.004585266 0.0034103394 0.0032234192 0.0033359528 0.0036888123 0.0035743713 0.0034751892 0.003419876 0.0037250519 0.0037441254 0.0032482147 0.0032653809 0.0035934448 0.0031394958 0.003332138 0.0034332275 0.00481987 0.0035171509 0.0032405853 0.0034313202 0.005968094 0.003293991 0.003326416 0.0032653809 0.0034999847 0.003414154 0.0035305023 0.003572464 0.0034103394 0.0033283234 0.0033855438 0.0033493042 0.004350662 0.0037155151 0.003774643 0.004585266 0.003917694 0.0037117004 0.003604889 0.0035820007 0.0037498474 0.0037841797 0.0035743713 0.004137039 0.0038166046 0.00374794 0.0035572052 0.0033740997 0.007232666 0.0043411255 0.0031909943 0.0034389496 0.004343033 0.0043144226 0.003604889 0.0035305023 0.0035705566 0.0032234192 0.0032482147 0.0032444 0.0039081573 0.0038375854 0.0033111572 0.003408432 0.004173279 0.003255844 0.0032806396 0.0037345886 0.0037765503 0.0037250519 0.0038394928 0.0037937164 0.003446579 0.004108429 0.0033054352 0.0035057068 0.0034713745 0.0035648346 0.0037288666 0.0035076141 0.0036029816 0.0037174225 0.0032215118 0.0034008026 0.0035533905 0.0041103363 0.0035972595 0.0032291412 0.0037231445 0.0037975311 0.0036945343 0.0032787323 0.0036563873 0.00333786 0.0036067963 0.0037269592 0.0035705566 0.003255844 0.0037937164 0.0034809113 0.005300522 0.0049705505 0.0034694672 0.0032577515 0.0034294128 0.003572464 0.0032234192 0.003129959 0.003484726 0.003408432 0.0032577515 0.003364563 0.0036067963 0.0035095215 0.0033569336 0.0051498413 0.0037708282 0.0041103363 0.0031757355 0.0032463074 0.0037288666 0.0057239532 0.0035686493 0.00696373 0.003479004 0.0046749115 0.0034275055 0.0032978058 0.0034503937 0.0031757355 0.0032100677 0.0033473969 0.0033664703 0.003484726 0.0031967163 0.0032463074 0.0031929016 0.0033092499 0.0032444 0.0031337738 0.0033416748 0.0032253265 0.003194809 0.003124237 0.003288269 0.0034160614 0.0032482147 0.0033054352 0.0033493042 0.0033035278 0.0032215118 0.0032997131 0.0032577515 0.0032444 0.0032520294 0.0032196045 0.0033493042 0.0033416748 0.00315094 0.003276825 0.003364563 0.003282547 0.0033073425 0.0033740997 0.0035171509 0.0033187866 0.003376007 0.0032596588 0.003419876 0.0031433105 0.0032367706 0.0032482147 0.0034942627 0.00333786 0.0033130646 0.0033073425 0.004201889 0.0035629272 0.003288269 0.0039482117 0.0036087036 0.0034618378 0.0034122467 0.0040187836 0.0033454895 0.003458023 0.0033988953 0.003255844 0.004070282 0.0030918121 0.0032901764 0.0032997131 0.003856659 0.004524231 0.0047473907 0.003376007 0.0032844543 0.0033111572 0.0034294128 0.0032482147 0.004016876 0.0033187866 0.0033473969 0.0033798218 0.0034294128 0.003189087 0.0032405853 0.0032482147 0.0034885406 0.0033779144 0.0033035278 0.003211975 0.0036678314 0.0033550262 0.0035705566 0.0033855438 0.0051116943 0.0036621094 0.0033817291 0.0037498474 0.003604889 0.003479004 0.0033340454 0.0032730103 0.0036945343 0.003332138 0.0032310486 0.0036373138 0.0035076141 0.0033016205 0.0034923553 0.0040302277 0.0037498474 0.003501892 0.0034255981 0.0033111572 0.003774643 0.003730774 0.0038833618 0.010437012 0.021526419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018862372 2.8666218e-06 1.0510947e-05 9.555406e-07 8.599865e-06 3.8221624e-06 1.9110812e-06 1.9110812e-06 1.3377568e-05 0.0 0.0 2.8666218e-06 1.3377568e-05 3.8221624e-06 2.8666218e-06 3.8221624e-06 0.001836549 3.8221624e-06 1.9110812e-06 6.688784e-06 2.1021893e-05 2.1021893e-05 1.9110812e-06 2.4844056e-05 9.555406e-07 2.8666218e-06 0.0 1.9110812e-06 0.0 2.8666218e-06 0.0 3.05773e-05 0.0051484527 6.975447e-05 7.166555e-05 0.000176775 6.306568e-05 2.6755137e-05 6.11546e-05 4.0132705e-05 3.05773e-05 2.1021893e-05 2.1021893e-05 2.8666218e-05 2.8666218e-05 3.5355002e-05 2.9621759e-05 1.8155271e-05 0.0049688113 4.873257e-05 5.2554733e-05 7.0710004e-05 0.0001223092 5.1599192e-05 0.00031341732 0.00010033177 1.624419e-05 1.4333109e-05 1.2422028e-05 1.0510947e-05 1.719973e-05 3.6310543e-05 1.0510947e-05 2.4844056e-05 0.001587153 8.026541e-05 5.6376895e-05 2.8666218e-06 5.9243517e-05 2.5799596e-05 3.153284e-05 2.7710677e-05 9.555406e-06 7.644325e-06 4.777703e-06 3.8221624e-06 1.3377568e-05 2.5799596e-05 3.8221624e-06 1.719973e-05 0.0027787122 1.1466487e-05 2.0066353e-05 2.4844056e-05 0.0002283742 8.3132036e-05 0.00030003974 0.00019493028 2.9621759e-05 1.4333109e-05 2.1021893e-05 1.2422028e-05 1.528865e-05 2.2932974e-05 0.000103198385 5.3510274e-05 0.0028045117 8.408757e-05 9.459852e-05 5.5421355e-05 0.00018441933 5.6376895e-05 0.00010797609 7.739879e-05 4.873257e-05 2.9621759e-05 3.439946e-05 2.4844056e-05 2.8666218e-05 4.0132705e-05 0.00011944258 0.00012326473 0.0012173587 4.586595e-05 3.9177165e-05 4.3954868e-05 0.00019493028 1.1466487e-05 1.2422028e-05 1.9110812e-05 5.064365e-05 1.0510947e-05 1.3377568e-05 2.2932974e-05 2.4844056e-05 0.00018441933 1.528865e-05 5.064365e-05 0.0071694213 0.00031341732 0.00071952207 0.0007204776 0.0006612341 0.00030768407 0.0011342267 0.00062492356 0.00052172516 0.00010893163 0.00011275379 0.00015097542 0.00018633042 0.00030290638 0.00013473122 0.0005293695 0.002577093 7.548771e-05 0.00028284002 0.00077303237 0.0004376376 0.00026659583 0.0016425743 0.00085234223 7.930987e-05 5.4465814e-05 6.4021224e-05 6.11546e-05 8.1220955e-05 8.217649e-05 7.166555e-05 0.00042617111 0.0033033038 0.00049114786 0.00053510274 0.0041814456 0.0004452819 0.00036883866 0.0006507232 0.0005570802 0.00048350354 0.00035928327 0.000376483 0.00037552745 0.0003602388 0.00040419368 0.000376483 0.00042999326 0.0016750627 0.00018059717 0.00018537488 0.00016435298 0.0002331519 0.00017773056 0.00011084271 0.000247485 0.0007424551 8.69542e-05 0.00010415393 0.00018155272 0.0002283742 0.00017773056 0.00029239542 0.0010826275 0.011072804 0.0018852816 0.0028656663 0.0018785929 0.005513469 0.0024070067 0.0012842466 0.0017945053 0.0056482004 0.0008122095 0.0007262109 0.0009316521 0.0020802119 0.0035527 0.0018355935 0.0046353275 0.009183701 0.0018852816 0.0020486792 0.0020792563 0.0037103642 0.0039377827 0.0013587788 0.0029172655 0.0064288774 0.00046439274 0.00056854665 0.00068321155 0.0032813265 0.0013616454 0.0028054672 0.006209103 0.051563837 0.051090844 0.05144822 0.05089496 0.04995471 0.05057963 0.050311126 0.0505825 0.050809916 0.050356034 0.050566252 0.050906427 0.05045732 0.05082043 0.05126284 0.05052803 2383.0 7.283676 17357.0 0.023448752 0.009275797 0.0065679555 0.0077202283 0.009045342 0.007086478 0.008930115 0.006625569 0.008526819 0.008411592 0.0066831824 0.007086478 0.009909547 0.008814887 0.008584433 0.007950683 0.01503716 0.011292274 0.014576252 0.014172956 0.013078297 0.0107161375 0.0107161375 0.0107161375 0.0123293195 0.010140001 0.011753183 0.011119433 0.011349888 0.011580342 0.009736706 0.00996716 0.009045342 0.010485683 0.0068560233 0.008642047 0.009909547 0.007835455 0.008008297 0.008872501 0.011177047 0.007605001 0.006625569 0.008411592 0.010082387 0.008181137 0.00806591 0.010197615 0.012502161 0.006625569 0.008296365 0.014806706 0.010543297 0.008411592 0.011810796 0.011292274 0.008353978 0.0073745465 0.0073745465 0.007950683 0.009218182 0.0065679555 0.007950683 0.0076626143 0.009218182 0.016362274 0.008469205 0.011983638 0.01486432 0.025868526 0.010773751 0.0082387505 0.011810796 0.017341707 0.0073745465 0.00743216 0.01693841 0.011349888 0.018263524 0.018321138 0.012559774 0.0067407964 0.016650343 0.012559774 0.02546523 0.014633865 0.0077202283 0.0074897734 0.008872501 0.010485683 0.008123524 0.0052428413 0.008411592 0.0060494323 0.0072017056 0.0074897734 6.4978333 0.0 0.0 0.0 11.0 524288.0 536576.0 1.0 0.0 83.0 1.0 1.0 0.0 0.0 0.0 1541560400.0 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 -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 -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 5.0 0.0 5.0 0.0 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.382177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4150367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1114235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.396988 0.0 3.180667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -431641.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28330.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47624.0 0.0 952.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121.0 61164.0 952.0 524288.0 0.0 0.0 0.0 0.0 5400.0 528384.0 56.0 53664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.2960737 0.040665064 0.005809295 0.0048577725 0.0075620995 0.0026542468 0.0015024039 0.0026542468 0.009415064 0.0030048077 0.002704327 0.0010516827 0.003555689 0.004206731 0.0012019231 0.005909455 0.01166867 0.004757612 0.0014022436 0.00080128206 0.002303686 0.008463542 0.00030048078 0.00045072116 0.0010016026 0.00015024039 0.0005008013 0.0006510417 0.001552484 0.00095152244 0.0006510417 0.00080128206 0.010466747 0.00030048078 0.0018028846 0.0003505609 0.0021033655 0.0012520032 0.00040064103 0.00025040066 0.0020032052 0.0003505609 0.0003505609 0.0016025641 0.0013020834 0.0010016026 0.0025040065 0.00045072116 0.0022035257 0.0008513622 0.0015024039 0.004757612 0.0011017629 0.0045072115 0.0006510417 0.00045072116 0.001953125 0.0025040065 0.0008513622 0.0033553685 0.0012019231 0.003555689 0.0019030449 0.0010516827 0.004256811 0.0032051282 0.0019030449 0.0037560095 0.0038561698 0.010616987 0.002353766 0.002303686 0.0025540865 0.0021534455 0.00015024039 0.0015024039 0.0018529647 0.0040564905 0.00075120194 0.0009014423 0.012820513 0.0048577725 0.004306891 0.0075620995 0.002353766 0.0028044872 0.0044571315 0.006159856 0.001552484 0.00075120194 0.0003505609 0.0013020834 0.0011017629 0.0017027244 0.0021033655 0.0032051282 0.00080128206 0.007512019 0.0014022436 0.004607372 0.006209936 0.019681491 0.0033553685 0.002353766 0.0067608175 0.008213141 0.006310096 0.0005008013 0.008012821 0.0036558493 0.008163061 0.00786258 0.0060096155 0.00015024039 0.009615385 0.007512019 0.016776843 0.008363381 0.0030548878 0.007361779 0.0025040065 0.0021033655 0.0012520032 0.00025040066 0.0025540865 0.0020532853 0.00080128206 0.00025040066 0.005108173 0.0021534455 0.00045072116 0.006660657 0.0025040065 0.0041065705 0.0006510417 0.00010016026 0.0030048077 0.010016026 0.0008513622 0.016025642 0.0013020834 0.004707532 5.008013e-05 0.00025040066 0.0015024039 0.00020032052 0.0044571315 5.008013e-05 0.00025040066 0.00030048078 0.0034555288 0.0008513622 0.0010016026 0.0025540865 0.00025040066 0.00025040066 0.00075120194 0.00030048078 0.00025040066 0.00015024039 0.0010016026 0.0029547275 0.00040064103 0.0029547275 0.00095152244 0.0003505609 0.00025040066 0.00025040066 0.0005008013 0.00015024039 0.00030048078 0.00030048078 0.0006510417 0.00015024039 0.0005008013 0.0014022436 0.00080128206 0.00020032052 0.00010016026 5.008013e-05 0.00060096156 0.00080128206 0.00080128206 0.00055088144 0.001552484 0.0005008013 0.0003505609 0.00040064103 0.00075120194 0.0005008013 0.00025040066 0.0005008013 0.0044070515 0.0033553685 0.0026542468 0.0017528045 0.00075120194 0.0007011218 0.0018028846 0.0025040065 0.0020032052 0.002353766 0.0005008013 0.00045072116 0.014523237 0.0006510417 0.00040064103 0.00010016026 0.0018529647 0.0008513622 0.0007011218 0.0005008013 0.0028545673 0.0007011218 0.0026041667 0.001151843 0.0016025641 0.00060096156 0.0 0.00080128206 0.0010016026 0.00040064103 0.00055088144 0.00025040066 0.0021033655 0.00040064103 0.0003505609 0.00015024039 0.001151843 0.00020032052 0.00020032052 0.00010016026 0.0057091345 0.0021033655 0.00020032052 0.0025540865 0.0045072115 0.00040064103 0.00020032052 0.00015024039 0.0030048077 0.0017027244 0.00030048078 0.00075120194 0.001953125 0.00045072116 0.0013020834 0.0021033655 0.0036057692 0.0007011218 0.0003505609 0.0018529647 0.0034555288 0.0016025641 0.0028545673 0.044170674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.036024306 0.000108506945 0.0014648438 0.0011664496 0.0011121961 0.0007324219 0.0066189235 0.0058322484 0.0008951823 0.0007052951 8.138021e-05 5.4253473e-05 8.138021e-05 2.7126736e-05 0.00013563369 0.000515408 0.06542969 0.0007866754 0.0059950086 0.0028483074 0.0025499132 0.0026584202 0.0142144095 0.009711372 0.0024685329 0.0008951823 0.00043402778 0.00018988716 0.00027126737 0.00043402778 0.00027126737 0.001953125 0.05026584 0.00081380206 0.005859375 0.0029025609 0.0050998265 0.0045030382 0.024169922 0.0122612845 0.0016547309 0.0002983941 0.00054253475 0.00024414062 0.0002983941 0.000515408 0.00018988716 0.0014919705 0.041937932 0.0019802516 0.0016818576 0.0026584202 0.008870442 0.0059407554 0.021837022 0.014702691 0.0017361111 0.0013020834 0.0011393229 0.001030816 0.0016818576 0.0020887586 0.00086805556 0.0016547309 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1559516 0.03141276 0.010281033 0.02251519 0.02642144 0.043077257 0.027235243 0.027615018 0.04888238 0.013156467 0.010281033 0.0071343314 0.035807293 0.013237847 0.018744575 0.063802086 0.014160156 0.0032009548 0.0011393229 0.0016276041 0.00390625 0.0041775173 0.0014648438 0.0018174914 0.006971571 0.0013834635 0.0014919705 0.00054253475 0.003797743 0.0014919705 0.0018988715 0.00648329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166.0 14.771085 2452.0 0.05097879 0.00040783035 0.013050571 0.00040783035 0.00040783035 0.00040783035 0.0 0.0 0.0 0.0 0.00040783035 0.00040783035 0.0 0.0016313214 0.01182708 0.002446982 0.0032626428 0.0028548124 0.004893964 0.0053017945 0.0016313214 0.001223491 0.0020391517 0.00040783035 0.001223491 0.0008156607 0.0008156607 0.0 0.004486134 0.006933116 0.004893964 0.0008156607 0.001223491 0.005709625 0.0040783035 0.015497553 0.0077487766 0.008156607 0.005709625 0.01223491 0.0016313214 0.009787928 0.0 0.0028548124 0.004893964 0.006117455 0.001223491 0.0032626428 0.015905384 0.0020391517 0.0065252855 0.016721044 0.006117455 0.002446982 0.0028548124 0.019168027 0.00040783035 0.0 0.0 0.0 0.00040783035 0.0 0.0 0.01223491 0.00040783035 0.040375203 0.0077487766 0.026101142 0.032218598 0.11582382 0.006933116 0.013866232 0.0077487766 0.042006526 0.002446982 0.0020391517 0.041190866 0.022022838 0.04690049 0.041598696 0.014274062 0.0 0.047716152 0.045677 0.07871126 0.010603589 0.0065252855 0.02406199 0.0093800975 0.01223491 0.0016313214 0.0 0.0 0.0 0.00040783035 0.00040783035 5.194205 0.0 0.0 0.0 2.0 19968.0 49152.0 1.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 1091599600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 13824.0 1024.0 4096.0 3.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.77324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4497766 0.0 3.838155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13610.0 0.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 15100.0 4208.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4592.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4952.0 128.0 592.0 488.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.23101562 0.008359375 0.005703125 0.004667969 0.007089844 0.0040429686 0.0022070312 0.00203125 0.01 0.0015429688 0.00171875 0.0013671875 0.00546875 0.001875 0.0009375 0.0084375 0.0044921874 0.001484375 0.000625 0.0009960937 0.0029492187 0.0075976565 0.00095703127 0.0006640625 0.0020703124 0.0007421875 0.00095703127 0.0009960937 0.0015234374 0.0027734374 0.0011132812 0.00068359374 0.0072070314 0.0007421875 0.0030273437 0.0011328125 0.0037304687 0.0030664064 0.00056640623 0.0005273438 0.0015234374 0.0006640625 0.00060546875 0.001875 0.0011914063 0.0006445313 0.0013867187 0.0004296875 0.0022265625 0.00060546875 0.0008789062 0.0049804687 0.001015625 0.0020507812 0.0005859375 0.0003515625 0.0014453125 0.0042578126 0.0018945313 0.0047070314 0.0009960937 0.0016601563 0.00056640623 0.00060546875 0.01765625 0.0021484375 0.0011328125 0.0033203126 0.004472656 0.0134375 0.004296875 0.0061914064 0.0028710938 0.0015429688 0.00056640623 0.00095703127 0.0021484375 0.005078125 0.001328125 0.0010546875 0.009023437 0.0016015625 0.0019921875 0.0071875 0.0015625 0.0039648437 0.006621094 0.008046875 0.0012109375 0.002109375 0.0006640625 0.00109375 0.0013867187 0.0028125 0.001875 0.0016015625 0.00125 0.0045703123 0.0011328125 0.0026171876 0.00375 0.012792969 0.0058203125 0.0020898439 0.008183594 0.006230469 0.008886719 0.0010351562 0.005859375 0.0020898439 0.0047265626 0.0053710938 0.0036328125 0.0001171875 0.0072070314 0.006621094 0.015039062 0.015722657 0.0015625 0.0015234374 0.0020117187 0.001953125 0.000546875 0.0007421875 0.0014648438 0.0035742188 0.000703125 0.000859375 0.0023632813 0.0021484375 0.000390625 0.009472656 0.0027539062 0.006015625 0.00048828125 0.000390625 0.0017382812 0.009882812 0.0005859375 0.016679687 0.00080078124 0.005390625 0.0005273438 0.00060546875 0.0032226562 0.003203125 0.0030859376 0.00060546875 0.00095703127 0.00060546875 0.00041015624 0.0002734375 0.0010742188 0.0017578125 0.00044921876 0.0013867187 0.0005859375 0.00060546875 0.00080078124 0.001171875 0.001015625 0.0022070312 0.0005273438 0.0015039062 0.001640625 0.00068359374 0.000859375 0.0009765625 0.0016210937 0.00056640623 0.0008789062 0.0006640625 0.00091796875 0.0008203125 0.00048828125 0.0008789062 0.0023046874 0.0010351562 0.00091796875 0.0018945313 0.001484375 0.0015625 0.0022851562 0.0023242189 0.002421875 0.001796875 0.0013867187 0.0012695312 0.0019921875 0.00048828125 0.0018945313 0.0012304687 0.008710938 0.003125 0.0026171876 0.0019921875 0.0027734374 0.0012304687 0.0020898439 0.0038671875 0.0026171876 0.0020703124 0.00109375 0.0013671875 0.0042382814 0.00037109375 0.0008203125 0.0007617187 0.0019335938 0.0009765625 0.001875 0.001640625 0.0013671875 0.00083984376 0.002734375 0.0010351562 0.0025976563 0.0009765625 0.000546875 0.0014257813 0.0020898439 0.0011523437 0.0007617187 0.0008789062 0.002421875 0.00140625 0.0021679688 0.001171875 0.002109375 0.001171875 0.0013671875 0.00080078124 0.013632813 0.0042578126 0.0025585936 0.0063671875 0.0034179688 0.0011523437 0.0010351562 0.0013671875 0.004277344 0.0013476562 0.0010742188 0.00125 0.0025390624 0.00109375 0.0033203126 0.0016210937 0.0053710938 0.0016015625 0.0014257813 0.0015820313 0.0042578126 0.0009765625 0.002109375 0.089316405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015445631 0.000388632 0.000259088 0.0004583865 0.0005879305 0.0004583865 0.000259088 0.00027901787 0.00036870217 0.00017936862 0.00032884246 0.00018933354 0.00017936862 0.00015943877 0.0002092634 0.0006576849 0.021882972 0.0 0.0040158643 0.0008470185 0.0008868782 0.00040856187 0.008270887 0.0045041456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042580117 0.0002092634 0.0044543208 0.0014947385 0.0055604274 0.003776706 0.014628507 0.007932079 0.00024912308 3.9859693e-05 0.000259088 2.989477e-05 4.982462e-05 5.978954e-05 6.975447e-05 0.00023915817 0.03003428 0.00056800066 0.0028300383 0.0010961415 0.0056600766 0.004284917 0.020009566 0.0105628185 0.00039859695 0.00036870217 0.0005281409 0.0036969867 0.00040856187 0.0004284917 0.000388632 0.00036870217 0.010891661 0.000388632 0.00060786033 0.0002092634 0.0007971939 0.000259088 0.00081712374 0.0007872289 0.0014648438 0.000259088 0.00034877233 0.0018534758 0.00053810584 0.00032884246 0.00032884246 0.0005281409 0.029257014 0.0014449139 0.0013153699 0.0015943878 0.0038663903 0.0026905295 0.006746253 0.005042251 0.0023018974 0.0028997927 0.0029396524 0.0057796557 0.004813058 0.0030393016 0.0047532683 0.02355708 0.021584025 0.0012755102 0.0013651946 0.0011658961 0.0030094068 0.0012157207 0.0021623883 0.0031588806 0.0044244262 0.0030293367 0.0038265307 0.0047632335 0.0062081474 0.006487165 0.007423868 0.030941088 0.005590322 0.0006576849 0.0005879305 0.0006576849 0.0019033004 0.00040856187 0.00032884246 0.001036352 0.0030592314 0.00031887754 0.00049824617 0.0004284917 0.0017040019 0.0009865274 0.0008470185 0.0013950893 0.114815846 0.026018415 0.013193559 0.021663744 0.04701451 0.04023836 0.02416494 0.03050263 0.048648756 0.013024155 0.0073242188 0.009476642 0.025998486 0.010911591 0.032356106 0.06526028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 11.63806 3119.0 0.003847387 0.0006412312 0.0 0.00096184673 0.004809234 0.00096184673 0.0 0.0 0.0006412312 0.0003206156 0.0 0.0012824624 0.0016030779 0.002244309 0.005450465 0.0 0.0006412312 0.0 0.0051298495 0.0057710805 0.0006412312 0.0003206156 0.0003206156 0.0 0.0006412312 0.004488618 0.0 0.0028855402 0.0003206156 0.0003206156 0.0 0.0 0.0032061557 0.007694774 0.0041680024 0.017313242 0.015389548 0.012504008 0.015389548 0.01667201 0.004809234 0.010259699 0.0003206156 0.0032061557 0.012824623 0.011862776 0.005450465 0.004809234 0.020198781 0.0019236935 0.00801539 0.021160629 0.00801539 0.0064123115 0.01090093 0.04135941 0.0006412312 0.0006412312 0.0 0.0012824624 0.0006412312 0.0012824624 0.0006412312 0.0012824624 0.0006412312 0.04200064 0.007053543 0.01955755 0.027893556 0.119269 0.0057710805 0.014107086 0.012504008 0.045848027 0.004809234 0.0051298495 0.047451105 0.015068932 0.036550175 0.048092335 0.015389548 0.0 0.05065726 0.0391151 0.07149728 0.020198781 0.0057710805 0.007694774 0.009939083 0.011221546 0.0012824624 0.0 0.0 0.00096184673 0.0 0.0 5.2296524 0.0 0.0 0.0 1.0 51200.0 3174400.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 29696.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29696.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.249616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.540188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8049406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5446033 0.0 5.1662354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2625536.0 -4054.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11118.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -469916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29324.0 0.0 22976.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 -1.0 -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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 44096.0 22976.0 3145728.0 0.0 0.0 18656.0 26542984.0 2452.0 548864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.32262075 0.030539773 0.016335227 0.008404356 0.012547349 0.010594224 0.015802557 0.005741004 0.0071614585 0.0062144888 0.011659564 0.0037286931 0.0042613638 0.006451231 0.0039654355 0.002071496 0.004498106 0.005563447 0.015920928 0.001953125 0.0011837122 0.0062144888 0.0021898674 0.0014204546 0.0024266099 0.0024857954 0.0013020834 0.0035511365 0.0014204546 0.0030184658 0.0024266099 0.0012428977 0.005267519 0.00538589 0.0010061553 0.002249053 0.0017755682 0.0029000947 0.0039654355 0.0011837122 0.00390625 0.0024266099 0.004971591 0.0034919507 0.0007102273 0.0020123105 0.014322917 0.00041429925 0.004142992 0.0020123105 0.0010653409 0.0006510417 0.00041429925 0.0010061553 0.0007694129 0.0005918561 0.0009469697 0.0018347538 0.00041429925 0.00041429925 0.0023674243 0.00029592804 0.0020123105 0.0005918561 0.0008285985 0.005563447 0.002544981 0.003610322 0.0021306819 0.0029592803 0.0023082385 0.0008285985 0.0013612689 0.0050307764 0.0007102273 0.00023674243 0.0021306819 0.004675663 0.0011837122 0.0008877841 0.00390625 0.0011837122 0.0015388258 0.004379735 0.0027817234 0.004142992 0.001953125 0.0006510417 0.00035511365 0.0011245265 0.00029592804 0.0 0.00047348486 0.00023674243 0.00029592804 0.0062736743 0.0013020834 0.018643467 0.009765625 0.008937026 0.009173769 0.037346117 0.001953125 0.007339015 0.0038470645 0.019886363 0.00023674243 0.0032552083 0.018406723 0.0072798296 0.017992424 0.022017045 0.006747159 0.00047348486 0.021306818 0.018406723 0.02154356 0.008049242 0.0034327651 0.0008285985 0.0018939395 0.004616477 0.0010653409 0.0023674243 0.0008877841 0.0023674243 0.0018347538 0.00047348486 0.005089962 0.0018939395 0.00029592804 0.0014796401 0.00047348486 0.00029592804 0.0012428977 0.00023674243 0.000118371216 0.00041429925 0.000118371216 5.9185608e-05 5.9185608e-05 0.00017755682 5.9185608e-05 0.00035511365 0.00023674243 0.0007694129 0.0 0.00017755682 0.00023674243 0.00029592804 0.0018939395 0.00017755682 5.9185608e-05 0.00053267047 0.00017755682 5.9185608e-05 5.9185608e-05 0.00017755682 0.00017755682 0.000118371216 0.00041429925 0.00047348486 0.00035511365 0.00023674243 0.00023674243 5.9185608e-05 0.00029592804 0.000118371216 0.00047348486 0.0007694129 0.0 5.9185608e-05 0.00017755682 0.00023674243 0.00053267047 0.00041429925 0.00017755682 0.00041429925 0.00041429925 5.9185608e-05 0.000118371216 0.00017755682 0.00041429925 0.00047348486 0.00029592804 0.0006510417 0.00029592804 0.00017755682 0.00047348486 0.0005918561 0.00029592804 0.000118371216 0.00035511365 0.00029592804 0.00017755682 0.0007102273 0.00041429925 5.9185608e-05 0.0012428977 0.00023674243 0.00029592804 0.0006510417 0.0 0.0 0.000118371216 0.001953125 0.00023674243 0.00017755682 0.00023674243 0.00053267047 0.000118371216 0.0 0.00017755682 0.00029592804 0.000118371216 0.00035511365 5.9185608e-05 0.00047348486 0.000118371216 0.000118371216 0.00041429925 0.00053267047 0.00041429925 5.9185608e-05 0.00023674243 0.00047348486 0.00029592804 0.00023674243 0.00041429925 0.0 0.0 0.00029592804 0.00029592804 0.00047348486 5.9185608e-05 0.0007102273 0.000118371216 0.00029592804 5.9185608e-05 0.00017755682 0.00029592804 0.00053267047 0.00029592804 0.00017755682 0.000118371216 0.00017755682 5.9185608e-05 0.0007694129 0.0 0.00023674243 0.00035511365 0.00023674243 5.9185608e-05 0.00029592804 0.0013612689 0.0017163826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.047884114 0.000390625 0.001920573 0.0012369792 0.0020507812 0.001171875 0.008333334 0.0032552083 6.510417e-05 0.0 0.0 6.510417e-05 9.765625e-05 0.0 6.510417e-05 0.00013020834 0.056477863 0.004036458 0.012467448 0.0018880208 0.015234375 0.012630208 0.1070638 0.05436198 0.00078125 0.00013020834 9.765625e-05 0.00022786458 0.00029296876 0.00026041668 6.510417e-05 0.0006510417 0.08014323 0.010579427 0.015006511 0.0033203126 0.0032877603 0.0014322917 0.004361979 0.008398438 0.0013997395 0.00029296876 0.00071614585 0.0006510417 0.00091145834 0.0008789062 0.00045572917 0.0014973958 0.13792318 0.014583333 0.015429688 0.0072265626 0.008463542 0.007063802 0.03330078 0.014355469 0.0053385417 0.004003906 0.0033854167 0.003092448 0.004296875 0.0021809896 0.002701823 0.0033203126 0.08408203 0.017773438 0.008984375 0.005729167 0.008072916 0.0072916667 0.03942057 0.01845703 0.0032226562 0.00071614585 0.0008789062 0.0010091146 0.0015625 0.0006184896 0.0008463542 0.0013346354 0.024967449 0.014127604 0.0045247395 0.0012369792 0.0021158855 0.0023111978 0.008463542 0.0041015623 0.0025065104 0.0004231771 0.0001953125 0.00048828125 0.00029296876 0.00032552084 0.00035807292 0.00022786458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 270.0 17.892593 4831.0 0.0026909544 0.00020699648 0.0 0.0006209894 0.0006209894 0.0 0.00041399297 0.0 0.00041399297 0.00082798593 0.0006209894 0.00041399297 0.00020699648 0.0 0.028151521 0.0 0.005588905 0.0039329333 0.0016559719 0.00082798593 0.00020699648 0.0 0.0 0.0006209894 0.00041399297 0.0010349824 0.0 0.0 0.0057959016 0.00020699648 0.0057959016 0.0 0.00020699648 0.012419789 0.005588905 0.009935831 0.005174912 0.009107845 0.004760919 0.0012419788 0.0028979508 0.009521838 0.00082798593 0.0 0.0045539225 0.010142827 0.0016559719 0.0014489754 0.0107638175 0.0016559719 0.004760919 0.013454772 0.006416891 0.01117781 0.0031049473 0.0012419788 0.00020699648 0.00020699648 0.0 0.0 0.0 0.0 0.0 0.020285655 0.0022769612 0.05464707 0.019871661 0.026909543 0.027116539 0.116332024 0.0062098945 0.021527635 0.011384807 0.06106396 0.00041399297 0.006002898 0.054233078 0.020078659 0.05464707 0.054026082 0.014075761 0.0 0.062098943 0.04471124 0.07099979 0.024839578 0.01117781 0.0014489754 0.005588905 0.011591803 0.0026909544 0.0 0.0 0.0 0.0 0.0 4.97483 0.0 0.0 0.0 1.0 16896.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2655515600.0 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 48.0 0.0 4.0 0.0 4.0 0.0 14336.0 512.0 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 -14336.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.785184 0.0 3.1940222 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 -14100.0 0.0 1060.0 0.0 0.0 0.0 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 75.0 22208.0 1060.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 22180.0 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