Input: 0.49734 0.010736028 0.0035923875 0.0058410573 0.0136702685 0.0017276367 0.0017276367 0.0015768113 0.0056079635 0.0013574288 0.0016316569 0.0017276367 0.0028245489 0.0016865025 0.0010969122 0.00303022 0.0037980585 0.0016179455 0.0005347447 0.00079526135 0.001398563 0.0015219657 0.001330006 0.0013574288 0.0019333077 0.0010146438 0.0009049526 0.0009049526 0.0012888719 0.000987221 0.0015082542 0.001905885 0.0040037297 0.000918664 0.00079526135 0.0014808314 0.002687435 0.0009049526 0.0006992815 0.00037020785 0.000987221 0.00078154996 0.0005210333 0.0014122744 0.00083639554 0.00087752973 0.0011106236 0.0006992815 0.004881259 0.0031536226 0.0036198103 0.004963528 0.0032907366 0.0037706357 0.003441562 0.0027834147 0.0037980585 0.0032633138 0.0016179455 0.002660012 0.00086381834 0.0011517578 0.0005895903 0.00047989908 0.010516645 0.0020978446 0.0006581473 0.0022623814 0.0022898042 0.0029479514 0.0017002139 0.0018784621 0.0012203148 0.0018099052 0.0007541271 0.00076783856 0.0015356771 0.002481764 0.0006581473 0.00063072453 0.003304448 0.0010832008 0.000987221 0.0020841332 0.0010420666 0.0019470191 0.0020567104 0.0020841332 0.00085010694 0.0016727911 0.00064443593 0.0011654692 0.0017413481 0.001124335 0.0014534086 0.0014259858 0.00080897275 0.00449734 0.0029068172 0.0034278505 0.0039625955 0.007884056 0.00371579 0.00086381834 0.0020155762 0.0025091867 0.0020704218 0.00042505347 0.0018647508 0.0011654692 0.0026463007 0.0025366095 0.0014945428 0.0007129929 0.0034826961 0.002728569 0.006540339 0.005525695 0.00095979817 0.0010832008 0.0014396972 0.000918664 0.0004661877 0.00030165084 0.00095979817 0.00095979817 0.0004936105 0.00064443593 0.0023720725 0.0012066034 0.00083639554 0.005621675 0.0016179455 0.0038391927 0.00028793945 0.00038391928 0.0017824823 0.0049223932 0.0017413481 0.010914276 0.0005073219 0.0040997094 0.0007267043 0.0010832008 0.0011517578 0.0006581473 0.00030165084 0.00032907366 0.00086381834 0.0007404157 0.0010969122 0.00027422805 0.0012888719 0.0007404157 0.00038391928 0.00012340263 0.0007129929 0.00028793945 0.00032907366 0.00028793945 0.0006992815 0.0012888719 0.00020567104 0.0005895903 0.0004936105 0.0004661877 0.0005347447 0.00026051665 0.0005347447 0.00026051665 0.0004524763 0.00020567104 0.0006170131 0.00024680526 0.00024680526 0.00032907366 0.0005347447 0.0005895903 0.00023309384 0.00020567104 0.00035649646 0.0005210333 0.0009049526 0.00027422805 0.0017413481 0.0011654692 0.0013025833 0.0006992815 0.0006581473 0.0004661877 0.0006718587 0.0006718587 0.0039214613 0.0051966216 0.0014259858 0.0035375417 0.0012751605 0.0009049526 0.0011106236 0.0022760928 0.0018921735 0.0017276367 0.0011654692 0.00097350957 0.0013437174 0.00037020785 0.00063072453 0.00080897275 0.0010009324 0.0010832008 0.0006855701 0.0009323754 0.0006855701 0.00031536227 0.00076783856 0.0009323754 0.001055778 0.0006033017 0.00063072453 0.004264246 0.00083639554 0.00041134207 0.0006992815 0.002454341 0.0020018648 0.0007541271 0.0005347447 0.00037020785 0.0022898042 0.00023309384 0.0012614491 0.00078154996 0.0044562058 0.0027422805 0.0017002139 0.004044864 0.018318433 0.00078154996 0.00095979817 0.0008912411 0.0028519717 0.009131794 0.0004936105 0.00080897275 0.0010283552 0.00026051665 0.001124335 0.0017276367 0.002687435 0.001055778 0.00087752973 0.0007129929 0.0027148577 0.0007404157 0.001974442 0.041545548 0.27112165 0.0 2.092634e-05 1.3950893e-05 9.765625e-05 0.0 4.8828126e-05 2.7901786e-05 0.0 0.0 0.0 0.0 0.0 6.9754465e-06 6.9754465e-06 8.370536e-05 0.027183315 0.00047433036 0.00047433036 0.0 6.277902e-05 0.0 0.0 1.3950893e-05 0.00030691965 2.7901786e-05 0.0 0.0 0.0 0.0 2.7901786e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.040645927 0.00011160714 0.0002092634 0.0120744975 0.0013811383 0.0009765625 0.008956473 0.0015625 9.765625e-05 2.7901786e-05 5.580357e-05 2.7901786e-05 3.4877234e-05 0.0009486607 0.002001953 0.0023158481 0.043143135 0.00059291295 0.00059291295 0.011446708 0.0021275112 0.001499721 0.0069754464 0.0012137276 0.0005022322 0.0001953125 0.0001046317 0.00026506698 0.0006138393 0.00023716518 0.00034877233 0.0015694754 0.029527064 0.00023018973 0.0012625558 0.0023786272 0.002280971 0.0012834822 0.00874721 0.0043526785 0.0002720424 0.00011858259 0.00016043527 0.00020228795 0.00030691965 0.0017299107 0.009214565 0.009361049 0.017299106 0.00026506698 0.00048828125 0.00036272322 0.0002720424 0.0001953125 0.0012904576 0.0009765625 0.00036969865 0.0004673549 0.00039760044 0.00032784598 0.00056501117 0.0017438616 0.008384487 0.00945173 0.025013952 0.0022600447 0.0015764509 0.0013044085 0.0013671875 0.000906808 0.0008998326 0.0010672433 0.0017926898 0.0006417411 0.0005022322 0.000983538 0.0028948102 0.0023088728 0.006263951 0.007359096 0.0061941966 0.00044642857 0.00017438616 0.00038364955 0.00085100444 0.0004185268 0.00024414062 0.00026506698 0.0007952009 0.00014648438 9.0680805e-05 0.0005022322 0.0012276786 0.00023018973 0.00034179687 0.0019740514 0.016510881 0.001953125 0.0016671317 0.001234654 0.0025041853 0.0015276228 0.003250558 0.0019880023 0.0019042969 0.000453404 0.0004952567 0.0010811941 0.0021205358 0.00069056917 0.00092773436 0.004547991 0.05732422 0.011753627 0.008754185 0.007861328 0.017292133 0.011174665 0.007142857 0.011893136 0.026004463 0.00516183 0.0037248884 0.0043666293 0.014585659 0.0059640068 0.010365513 0.025202287 0.013797433 0.0020856585 0.0019949777 0.0025599888 0.0038364956 0.004408482 0.0022391183 0.0032714843 0.007449777 0.0010114397 0.00055803574 0.0008858817 0.0037109375 0.0011928013 0.0024553572 0.005684989 0.005922154 0.0029506139 0.0020368304 0.00226702 0.0025739397 0.002483259 0.0023716518 0.0023925782 0.0031598771 0.0014299665 0.0014508929 0.0025111607 0.0029715402 0.002594866 0.0024902343 0.003250558 188.0 14.3404255 2696.0 0.043397628 0.0011127597 0.005192878 0.00037091988 0.00074183976 0.00037091988 0.00037091988 0.0 0.00074183976 0.0022255194 0.00037091988 0.00074183976 0.00037091988 0.005934718 0.005934718 0.0022255194 0.007418398 0.0022255194 0.004451039 0.0022255194 0.0011127597 0.00074183976 0.0055637984 0.0011127597 0.0018545995 0.0014836795 0.002596439 0.00074183976 0.0055637984 0.0018545995 0.004451039 0.0 0.0040801186 0.015578635 0.002596439 0.012611276 0.002967359 0.012240356 0.008531157 0.017804155 0.008902078 0.004451039 0.00037091988 0.0014836795 0.011127597 0.008160237 0.003709199 0.0022255194 0.008531157 0.00074183976 0.008531157 0.014094955 0.008531157 0.003709199 0.008902078 0.012611276 0.00074183976 0.00037091988 0.0 0.0014836795 0.00037091988 0.0011127597 0.00037091988 0.003709199 0.00074183976 0.045623146 0.005934718 0.021513354 0.024109792 0.10237389 0.0077893175 0.011869436 0.009643917 0.051186945 0.002967359 0.0014836795 0.03560831 0.019287834 0.05563798 0.051928785 0.019658754 0.0018545995 0.06305638 0.03523739 0.07158754 0.026706232 0.008531157 0.002596439 0.0070474776 0.0077893175 0.0018545995 0.0 0.00074183976 0.00037091988 0.00037091988 0.00074183976 5.2864895 0.0 0.0 0.0 2.0 72932.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1400560600.0 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 -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 11.0 0.0 5.0 0.0 5.0 0.0 20480.0 1024.0 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 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.769936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8203545 0.0 0.0 0.0 0.0 0.0 5.064612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.508674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 36864.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 10256.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32055438 0.038607497 0.0013700695 0.014155524 0.0029187223 0.0007422372 0.0018723352 0.0012165994 0.0012277608 0.0009040784 0.0012891488 0.0006752684 0.0005329598 0.00094035314 0.00081757706 0.0013616984 0.0013951827 0.0014342478 0.00081199635 0.0005776056 0.00068363955 0.0004994754 0.00190861 0.00043808736 0.0011886957 0.00022880996 0.00035437642 0.00044087775 0.00032368238 0.00042971628 0.00031810167 0.00090965914 0.003580039 0.00044087775 0.0008761747 0.00029577874 0.00023160034 0.00025392327 0.00032647274 0.00019253521 0.00051900797 0.00020369668 0.0006780588 0.0003153113 0.00038786078 0.0004436681 0.00089012657 0.0010184834 0.001397973 0.0011273077 0.00044645846 0.000404603 0.00023997143 0.00032089202 0.000435297 0.00035995714 0.00034321495 0.00035437642 0.00031252092 0.00018974485 0.00042692592 0.00042971628 0.00051342725 0.0008147867 0.0005664442 0.000694801 0.00040181263 0.00040739335 0.00029019802 0.0002985691 0.00029577874 0.00021206777 0.00029298838 0.0004938947 0.00038507042 0.00028461727 0.00041576446 0.00032368238 0.0002734558 0.00019532559 0.0009291917 0.00079525413 0.00032089202 0.0005887671 0.00043808736 0.0006194611 0.00022322923 0.0003069402 0.00025950398 0.0002260196 0.00032647274 0.00045482957 0.00039065117 0.00042413553 0.0011273077 0.0016825903 0.0875812 0.0017997856 0.00072270463 0.019222828 0.0008454807 0.0025755074 0.0006082997 0.00057481526 0.00046320067 0.0016742193 0.00016742192 0.00033484385 0.0010938232 0.0012584548 0.0019644173 0.0014928455 0.0014788937 0.00090965914 0.001473313 0.0015765565 0.0021709043 0.00085943256 0.0004604103 0.0004994754 0.0008315289 0.0008064156 0.0002734558 0.0002176485 0.00035437642 0.0006752684 0.00023160034 0.0007115432 0.0014761033 0.00030973056 0.00042134518 0.0002260196 0.00025950398 0.00020927741 0.000404603 0.0005971382 0.00053854054 0.00023997143 0.0003376342 0.00020369668 0.00027624617 0.0008343193 0.00029577874 0.0003153113 0.00082873856 0.0006920106 0.00014788937 0.00016742192 0.0006306226 0.00024276179 0.00017858339 0.00037669935 0.00024276179 0.00022322923 0.00018695448 0.00018974485 0.00029577874 0.0004604103 0.00018137375 0.00018137375 0.00052737904 0.0002818269 0.00014509901 0.00015905083 0.00023718106 0.00024555216 0.00031252092 0.00019811594 0.0003069402 0.00030135945 0.00051900797 0.0003404246 0.00044645846 0.00019811594 0.00028461727 0.00027903655 0.00090965914 0.0019420943 0.019446056 0.08758957 0.0006194611 0.0009626761 0.0005106369 0.0004604103 0.00039065117 0.00051342725 0.00028461727 0.00028740763 0.0010324352 0.0009682568 0.0005552827 0.0010212738 0.001824899 0.00053854054 0.00044087775 0.01985066 0.0014649419 0.08743052 0.0005887671 0.0011245173 0.00048552357 0.0013114718 0.00021485814 0.00042692592 0.00053854054 0.0003962319 0.00027903655 0.0009822086 0.00025113288 0.001481684 0.00033484385 0.0010156931 0.00047994286 0.0008929169 0.00052737904 0.00079525413 0.0005357502 0.0010212738 0.0002650847 0.00039344153 0.0008566422 0.0004743621 0.00037390896 0.00062504184 0.00085385185 0.0010212738 0.0010324352 0.0011859053 0.00040181263 0.0008761747 0.00032368238 0.0004938947 0.00037390896 0.00041576446 0.0005552827 0.0006138804 0.000778512 0.00036832824 0.00038228006 0.0004771525 0.0028433823 0.0004520392 0.00029019802 0.0004520392 0.00048273322 0.0005357502 0.00045761993 0.0007422372 0.0014677322 0.0010491774 0.00070875284 0.00073107576 0.00070317206 0.00026229434 0.0007478179 0.14449349 0.008595434 2.5255928e-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 0.031749506 0.0027332525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02782642 0.0007422436 0.0005261651 1.1224856e-05 5.612428e-06 2.806214e-06 6.03336e-05 9.82175e-06 1.403107e-06 2.806214e-06 0.0 6.173671e-05 0.0003381488 1.403107e-06 5.612428e-06 0.0020134586 0.01510585 0.0006398168 3.367457e-05 0.00010102371 8.418642e-06 3.367457e-05 6.594603e-05 4.630253e-05 2.5255928e-05 3.367457e-05 2.2449713e-05 0.000116457886 0.00015153555 5.612428e-05 5.331807e-05 0.00074785604 0.021127986 0.00022730335 0.00021327227 0.00015293866 7.576778e-05 8.558953e-05 0.00033393948 0.00011365167 0.00016696974 9.400817e-05 6.3139814e-05 0.00037322647 0.0005808863 0.0001192641 0.00011786099 0.0020162647 0.017569706 0.00019222566 9.681439e-05 0.00010242681 5.7527388e-05 0.00014872935 0.0005289714 0.000157148 9.541128e-05 0.000115054776 4.2093212e-05 0.00066647585 0.00072260015 0.00012627963 0.000115054776 0.0022519869 0.021460522 0.00012487653 9.400817e-05 0.00013048896 3.2271462e-05 0.00012347342 0.0016949533 7.99771e-05 8.839574e-05 6.3139814e-05 4.630253e-05 0.0018717448 0.0020541488 0.00010242681 0.00020204742 0.0034404185 0.03232057 0.00044478494 0.0007857399 0.00040269172 0.00041391657 0.00058930495 0.0050104954 0.0015083401 0.00037042025 0.00021327227 0.00011224856 0.0036073881 0.00347269 0.00040269172 0.00029184626 0.0046512997 0.06046409 0.0012950678 0.0023361733 0.0012740212 0.0008180114 0.0014564251 0.024262527 0.0031808435 0.0004391725 0.0007534685 0.00042654455 0.0217215 0.021575578 0.0015181619 0.001415735 0.029476473 0.12459731 0.0009358724 0.0019994276 0.0014367816 0.00064542925 0.0021551724 0.07846034 0.0022407619 0.0013554014 0.0010565396 0.0009919967 0.07978067 0.07952109 0.0038290792 0.0041910806 0.09956167 0.009976091 0.000314296 0.00036621094 0.00016977596 0.00046723464 0.00051073096 0.0052756825 0.0010046246 0.00019362877 0.0002567686 0.00019503188 0.0044857333 0.00446609 0.0005163434 0.0004924906 0.005792026 0.0074266456 0.00034516433 0.00026518723 0.00020485363 0.00016977596 0.0005724677 0.0020359084 0.00069173175 0.00074504985 0.00025536548 0.00027360587 0.002463856 0.0025410268 0.00085870153 0.00046863777 0.003670528 0.0036522876 0.000498103 0.00043215696 0.00063420436 0.0004209321 0.0003591954 0.0017314341 0.0009134227 0.000498103 0.000157148 0.00018100081 0.0004812657 0.0005149403 0.0002581717 0.0001795977 0.0005822894 0.0010116402 0.0002188847 0.00013890759 8.839574e-05 0.00015855109 9.96206e-05 7.2961564e-05 0.00013610139 0.0001403107 8.839574e-05 7.155846e-05 0.00010242681 0.00016416352 7.2961564e-05 0.00012207031 0.00018661324 0.0030531608 0.00095130655 0.0011056483 0.0013133081 0.0006061422 0.0008376549 0.0015392085 0.0011786099 0.0006075454 0.00043075386 0.00047986262 0.00042794764 0.00045320357 0.000419529 0.0003760327 0.00058790186 0.0036901715 0.0019980245 0.0018549075 0.0017272248 0.0017314341 0.0019461095 0.0015686736 0.001968559 0.001979784 0.0015911234 0.0017061782 0.0018675355 0.00186052 0.0019334815 0.0020457301 0.0021397383 473.0 21.4778 10159.0 0.09420218 0.0013780884 0.013288709 0.0011812187 0.0010827837 0.00088591396 0.0014765232 0.0011812187 0.0015749582 0.0012796535 0.0047248746 0.0009843488 0.0017718279 0.008366966 0.018997934 0.009351314 0.021655675 0.010630968 0.008563835 0.0070873117 0.0047248746 0.005217049 0.0043311347 0.0032483512 0.0042327 0.0047248746 0.0050201793 9.843489e-05 0.007874791 0.006004528 0.007874791 0.0007874791 0.0007874791 0.013977754 0.0018702628 0.007677921 0.0042327 0.0043311347 0.0027561767 0.0019686976 0.0013780884 0.0073826164 0.00019686978 0.0007874791 0.0042327 0.0034452209 0.0014765232 0.0013780884 0.0028546117 0.0012796535 0.0046264394 0.012402795 0.005315484 0.0019686976 0.0019686976 0.0020671326 0.0007874791 0.0004921744 0.0018702628 0.00039373955 0.0012796535 0.0010827837 0.0005906093 0.002460872 0.0009843488 0.03868491 0.014568363 0.027857073 0.020868195 0.07992913 0.007874791 0.011910621 0.0075794864 0.045673788 0.00088591396 0.0031499164 0.02943203 0.02697116 0.04715031 0.041637957 0.018210454 0.0013780884 0.04065361 0.04331135 0.062112413 0.019588543 0.0073826164 0.009056009 0.0066935723 0.017816715 0.0012796535 0.0007874791 0.00039373955 0.0022640023 0.00019686978 0.0005906093 5.3943586 1.0 17.0 0.0 3.0 358376.0 376832.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1540399200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 6.0 0.0 8704.0 512.0 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 -8704.0 0.0 342528.0 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 -5.88731 0.0 3.892782 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 -8532.0 0.0 342072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 16632.0 342072.0 24576.0 0.0 0.0 6120.0 352256.0 12.0 368640.0 28.0 9192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.010172965 0.009183476 0.007693326 0.0064941067 0.0078065563 0.005996914 0.007035571 0.00503456 0.0075633666 0.006150744 0.0052538794 0.004835234 0.0066275345 0.0049990606 0.0044484152 0.0041882917 0.007892856 0.0048062634 0.004973966 0.004830133 0.0056443703 0.004083426 0.004091383 0.0041636056 0.0060379216 0.0041844156 0.003979377 0.0037298626 0.00481524 0.0032575603 0.0035240082 0.0045083966 0.009244477 0.00635415 0.0043639517 0.003947142 0.005595202 0.0046832403 0.0048138117 0.0048350296 0.0048025907 0.0043994505 0.0034836126 0.0030588463 0.0043058065 0.0038802242 0.0035519586 0.0031908462 0.007276109 0.0053581325 0.0063245674 0.004378641 0.005815134 0.004646109 0.0045942883 0.0044088354 0.005491357 0.0050108936 0.0029358233 0.0031571833 0.0035752167 0.0026563182 0.0035542028 0.00615666 0.008083205 0.0055207354 0.005392816 0.0046791597 0.004655698 0.0038657389 0.003700688 0.0033126452 0.0055239997 0.0039275563 0.0038473771 0.003635198 0.004802999 0.0034477054 0.0037684222 0.0028297338 0.006061384 0.004149732 0.004115253 0.0039950865 0.003835136 0.0035031983 0.003513195 0.003367322 0.0045738863 0.0029184818 0.003444033 0.0032163486 0.0037104809 0.0022819447 0.0030268156 0.0039002178 0.0061897114 0.005226541 0.0041436115 0.0038518657 0.0056574275 0.003902462 0.0037086448 0.0027711806 0.004113213 0.0038696153 0.0031922744 0.0028607447 0.0037692382 0.0032043115 0.002910321 0.0027222163 0.005237354 0.0030131463 0.0042531695 0.0024792305 0.0040387465 0.003264701 0.0025949087 0.0032983639 0.0032889792 0.003200435 0.002152801 0.0022221673 0.002643261 0.0018818649 0.0041525885 0.007524399 0.00786307 0.0054993136 0.004971518 0.0046281554 0.00546055 0.0045747026 0.004222159 0.0033036685 0.004623871 0.005652123 0.0035854178 0.003757405 0.0037447559 0.0040615965 0.0026822286 0.0023915025 0.008209901 0.0036925273 0.0046077534 0.0034148584 0.003669473 0.0028613566 0.0032824504 0.003120664 0.003152899 0.0034228151 0.0028888993 0.0024533202 0.0034801443 0.0026402008 0.0027766891 0.0036629445 0.005394856 0.003766994 0.0031506547 0.0027821977 0.003723742 0.0031506547 0.0031071987 0.002697734 0.0032634768 0.0029256225 0.0026042936 0.0024151686 0.0030588463 0.002898896 0.0021162818 0.0020877193 0.004837682 0.0029327632 0.0026236754 0.0023029586 0.0033616095 0.0027842377 0.0028474834 0.0030851648 0.0034226112 0.0030408928 0.0023386618 0.0023825257 0.0030515017 0.0023254007 0.0040052873 0.00822255 0.0064384094 0.0046834443 0.0043670116 0.0037239462 0.003643767 0.0027177278 0.0035268643 0.0028607447 0.0058334954 0.004557361 0.002372529 0.002795867 0.0023439664 0.0023888503 0.0023188721 0.0022050298 0.0045090085 0.002885023 0.0033234581 0.0029854 0.0029233783 0.0024259817 0.002820757 0.0026175547 0.0032587843 0.002786278 0.0027434342 0.0026669272 0.0027683245 0.002563082 0.0026257155 0.0035952106 0.0049633575 0.0033281506 0.0027666923 0.0026797804 0.005251023 0.002197277 0.0019879544 0.0022921457 0.0027373135 0.0025361516 0.002341314 0.0035201318 0.0022370608 0.0022656233 0.0023431503 0.002273988 0.0036392785 0.0024571964 0.0032675571 0.0019218525 0.0019365418 0.0018977782 0.00207303 0.002617759 0.0022815366 0.002296838 0.0017270149 0.0019587798 0.0020212093 0.0018665635 0.0037429198 0.007426266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00022817071 3.7654292e-05 3.3470482e-05 9.765625e-05 3.3878656e-05 2.8878494e-05 3.224595e-05 3.469501e-05 3.7246115e-05 3.1531643e-05 3.224595e-05 3.316435e-05 3.438888e-05 3.224595e-05 3.8062466e-05 7.041046e-05 0.0005967542 0.00016510743 0.00021214978 0.0004215444 0.00018214881 0.00014694357 0.0001562296 0.00014633131 0.00015194374 0.00015255601 0.00010673818 0.00013714733 0.00014041275 0.00011153425 0.00012745314 0.00017980179 0.10262192 0.07432538 0.07426895 0.07481877 0.07077762 0.059439596 0.06190151 0.055066798 0.070835784 0.057154927 0.04901252 0.05339501 0.05660644 0.047357667 0.04556159 0.042884767 35638.0 5.833829 207906.0 0.023188364 0.014160246 0.009509105 0.0091579845 0.012457553 0.010899156 0.010495127 0.011971757 0.0111156 0.009076217 0.0074793417 0.0065847067 0.009845796 0.009893894 0.010971304 0.008090194 0.018695949 0.014939444 0.01758487 0.012962589 0.015348283 0.012832723 0.01221706 0.013058786 0.015247275 0.013092455 0.006704953 0.0068684886 0.008061335 0.005771839 0.009186844 0.015579156 0.019253893 0.0141265765 0.012952969 0.012058334 0.010923206 0.009658211 0.00860966 0.0081238635 0.012832723 0.010220965 0.0089271115 0.008373977 0.010726001 0.008903062 0.0095283445 0.0075562997 0.015377142 0.009941993 0.009812127 0.01040855 0.009148365 0.008292209 0.007686166 0.008532702 0.01112522 0.007638067 0.008383596 0.007469722 0.008027666 0.0050792187 0.0070464537 0.009268612 0.014472887 0.014621993 0.011712024 0.011192558 0.015102979 0.011365714 0.009913133 0.0073639047 0.010721192 0.010230585 0.007474532 0.00753225 0.01003338 0.008850154 0.008282589 0.008648139 0.012746145 0.0068348194 0.01220744 0.007907419 0.011067501 0.008359547 0.005969044 0.008470174 0.008008427 0.007941089 0.005156176 0.005132127 0.0054688174 0.0042134426 0.011582158 0.022356257 6.508042 1.0 2.0 0.0 61.0 4901521.0 63070210.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1098700000.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 56.0 4.0 0.0 4.0 0.0 7131136.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 -7129600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9006968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -7131136.0 0.0 0.0 0.0 0.0 0.0 55930880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2988.0 63066580.0 468.0 63066110.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 63069570.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20537756 0.014624081 0.009331741 0.011966869 0.015813362 0.004011473 0.0028195928 0.0027929624 0.01032097 0.0018050331 0.0020141804 0.0017998369 0.007847575 0.0026929353 0.0013958316 0.008314583 0.024517013 0.001692665 0.0010892553 0.00085217826 0.0040822714 0.0028247891 0.0014088221 0.00094635953 0.002833233 0.0008885517 0.00083723915 0.00093336904 0.0025734224 0.0009755882 0.0011165354 0.0010476856 0.005444328 0.0007190254 0.0008404868 0.00078008085 0.01372059 0.0013126923 0.000523518 0.0005566439 0.0015510684 0.0006755071 0.0008164543 0.0020369138 0.00163096 0.0013685515 0.0014296069 0.00068525004 0.0044382117 0.0025916093 0.0024279286 0.007079185 0.002896237 0.0023292005 0.0018699856 0.0019401344 0.0033216765 0.0031203234 0.002127198 0.004753232 0.0028761015 0.0027059258 0.001766711 0.0025552358 0.0035944774 0.0021310952 0.0013717992 0.0022726918 0.005693746 0.008814069 0.0033509051 0.0022635984 0.0030378336 0.0020914741 0.0008930984 0.0007365626 0.0026903371 0.004661649 0.0015874418 0.0011139372 0.007405247 0.0034379417 0.003024843 0.00482468 0.0025221098 0.0039549647 0.0041686585 0.0031755331 0.0015549655 0.0032171027 0.000572882 0.0021265484 0.0013074961 0.0039380766 0.0030352355 0.0037821906 0.0014913119 0.003059268 0.00082814577 0.001942083 0.003459376 0.005115018 0.003844545 0.0009307709 0.0050981306 0.0027695794 0.0048155864 0.0006125031 0.002388957 0.0010366436 0.0021401886 0.0024675496 0.0032476305 0.00055599434 0.004755181 0.0023668732 0.010158588 0.0098955305 0.0016017314 0.001092503 0.0016439506 0.0012977532 0.0006540728 0.0008710145 0.0025513386 0.0023545322 0.0013490657 0.0013133418 0.0044869264 0.0023123128 0.00058587256 0.013571848 0.005555397 0.009006329 0.0006618671 0.0006794043 0.0060269525 0.012702133 0.0030923937 0.028958471 0.0020570492 0.01706435 0.000672909 0.00065472233 0.004007576 0.0004754531 0.00048649506 0.0005546953 0.0015848437 0.0018699856 0.0004079024 0.00037152893 0.0009158318 0.00064822705 0.00035139362 0.00040855192 0.0017881454 0.0022207298 0.00047610264 0.0006287413 0.00120617 0.002512367 0.0005319619 0.0010886057 0.0015426246 0.0010450875 0.00057612965 0.0004156967 0.0011002972 0.00045661686 0.0004384301 0.0007911228 0.00095350435 0.00038906615 0.00052416755 0.0004994856 0.0015757503 0.0005663868 0.0005969145 0.00047935027 0.001702408 0.0015614608 0.0025649786 0.00095415383 0.0037295788 0.002005087 0.00082749623 0.000796319 0.0016497963 0.0013763459 0.001332178 0.0012548844 0.0076150442 0.0035379687 0.0029910677 0.004746737 0.0056028124 0.0009281728 0.004969524 0.0058476836 0.0029092275 0.0023447892 0.0012243567 0.0008742621 0.008136613 0.0009807844 0.0011736937 0.0008976451 0.0024305268 0.0015549655 0.0013594581 0.0009606491 0.0014354527 0.0005689849 0.0010158588 0.00077228656 0.0019849518 0.0008502297 0.0006008117 0.0013237342 0.0018764809 0.0010964001 0.00050857896 0.0005436533 0.0024448163 0.0010613257 0.00079761806 0.0007216235 0.0021986458 0.0018732332 0.0007313664 0.0005319619 0.015991332 0.00418035 0.00064303086 0.0040179687 0.0040069264 0.00062159647 0.00068525004 0.00073071686 0.004007576 0.0012769683 0.0011249792 0.0022843834 0.0027747755 0.000896346 0.0024240315 0.0024084428 0.0049994024 0.0019745594 0.0016264133 0.0022265755 0.0061516617 0.004175803 0.0058106603 0.058106605 0.021277944 1.7879805e-05 4.5512234e-06 4.5512234e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044517466 3.6409787e-05 2.4706642e-05 2.0155418e-05 1.625437e-05 8.452272e-06 3.08833e-05 1.5929281e-05 1.2353321e-05 7.802098e-06 4.876311e-06 6.5017475e-06 8.127185e-06 2.2756117e-06 4.5512234e-06 9.427534e-06 0.006127572 0.00011052971 5.9165905e-05 6.079134e-05 3.966066e-05 2.8282602e-05 3.966066e-05 2.7957514e-05 5.5589942e-05 1.0077709e-05 1.1703146e-05 1.8855068e-05 1.0727884e-05 1.2678408e-05 1.4954019e-05 2.9582952e-05 0.009946373 8.387255e-05 3.4134177e-05 0.00018822559 3.8685397e-05 2.6332078e-05 3.3484e-05 2.9582952e-05 2.730734e-05 1.5279107e-05 6.501748e-05 0.00020252944 0.000234388 0.000200904 9.7526216e-05 9.460043e-05 0.019436 0.00022008416 0.00020252944 0.00029745494 0.00010922936 7.99715e-05 0.00031793545 0.00015571686 7.119414e-05 3.4134177e-05 0.00014271337 0.0006677295 0.0004408185 0.00050356035 0.0003732003 0.0002499922 0.012047089 0.00038327803 0.00026137027 0.00047527775 0.0005136381 0.00019765313 0.00023113714 0.00016904544 0.00013036004 8.192202e-05 0.0001056534 0.00016937053 0.00014238828 0.00011865689 9.7201126e-05 0.00018887577 0.005830767 0.0002347131 0.00015506668 0.00032281177 0.00038067732 0.00014401371 0.00017977333 0.00013166039 7.99715e-05 4.1611183e-05 5.2989242e-05 0.00010890427 9.590078e-05 9.102447e-05 6.989379e-05 6.95687e-05 0.012952131 0.0009489301 0.0005978357 0.00069146085 0.0006664291 0.00024023958 0.001108873 0.0005666273 0.00012483356 0.00016449421 0.0002704727 0.00015344124 0.00014856494 0.00020903119 0.0002057803 0.00092422345 0.009657046 0.0006550511 0.0006976375 0.00048860634 0.0006157155 0.00032898842 0.0020109906 0.001104972 0.00020415487 0.00012255795 0.00023763887 8.647324e-05 0.00010695375 0.00012418338 0.00011443076 0.0007548529 0.013299325 0.0015467658 0.0010763643 0.0013679677 0.0015825254 0.0011950212 0.0042683976 0.0024163746 0.0009564071 0.00032866336 0.00030785776 0.0006400971 0.0005474471 0.0002499922 0.00043399166 0.0017401928 0.012308459 0.0014131549 0.0011043218 0.0014758967 0.001745069 0.0015457905 0.0048561553 0.002934564 0.0023715124 0.0005659771 0.00044179376 0.00054484647 0.00071746786 0.00043984322 0.0013435861 0.0041409633 0.01452653 0.002094538 0.0028168822 0.016365875 0.003040217 0.0027024513 0.004420213 0.003429997 0.0030619982 0.0015883769 0.001409904 0.0015145821 0.0019147646 0.0013569148 0.0016433167 0.003359778 0.0243679 0.0037372045 0.004397782 0.0051844935 0.005409779 0.004967335 0.005769976 0.0052176523 0.011615372 0.0026348333 0.001424533 0.0031777292 0.005536238 0.0016420163 0.0037043707 0.015740082 0.08078454 0.019849185 0.013390999 0.010999982 0.017841771 0.0219499 0.010217496 0.014511251 0.05315244 0.0067618177 0.004928975 0.009329683 0.025125355 0.0070930817 0.01787298 0.04371385 0.0550672 0.017255314 0.0092152525 0.010656039 0.014219322 0.018590773 0.008460724 0.014946218 0.036223188 0.0047326223 0.0045957603 0.0061812117 0.0197211 0.006740687 0.015199461 0.031164503 0.0002395894 7.3794836e-05 7.99715e-05 0.00024316536 0.00012450847 8.842377e-05 8.387255e-05 9.037429e-05 0.00010890427 0.00011703146 8.029658e-05 0.00019147647 8.192202e-05 0.00011020462 0.000102077436 0.00018172385 6881.0 14.770964 101639.0 0.029850746 0.0012200042 0.0017709738 0.0013085528 0.0056474386 0.0072314763 0.001111778 0.0029319455 0.003630496 0.002066136 0.001456134 0.0013675853 0.0043290467 0.002607267 0.012308268 0.0016135538 0.021300878 0.017975384 0.015053277 0.013262626 0.012987141 0.010389713 0.009681324 0.010743908 0.012544397 0.010035518 0.009277934 0.00884503 0.011353909 0.011166973 0.00845148 0.0095337415 0.00391582 0.009907614 0.0046242094 0.019323291 0.024380405 0.0074479287 0.011255522 0.008156318 0.008589223 0.012495204 0.002223556 0.0025285569 0.006385344 0.007959543 0.0064542154 0.003866626 0.016873443 0.0038961421 0.010006001 0.03215301 0.008510512 0.0040338845 0.005942601 0.0067493776 0.0046242094 0.0025482345 0.0013380691 0.0024695245 0.002912268 0.002607267 0.0016233926 0.018349256 0.0036600125 0.03270398 0.006208247 0.02151733 0.027371382 0.056730192 0.0076840585 0.0060803434 0.006975669 0.030145908 0.003630496 0.0030696879 0.018693611 0.008894224 0.021861687 0.026790896 0.023101369 0.001682425 0.042955954 0.018969096 0.0405553 0.01197375 0.008776159 0.004171627 0.00555889 0.0057359873 0.0017316188 0.0007870994 0.010793101 0.001033068 0.0013577465 0.0015938764 6.013198 1.0 0.0 0.0 15.0 1539584.0 1560576.0 1.0 23.0 82.0 1.0 1.0 0.0 0.0 0.0 1520905600.0 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 10.0 0.0 5.0 1.0 5.0 1.0 246784.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -246784.0 0.0 1223168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1421576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.693347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1845524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.59377 0.0 6.357932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40287.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -246640.0 0.0 1223124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 687.0 293552.0 60.0 291636.0 1223124.0 315392.0 0.0 0.0 0.0 0.0 12320.0 1540096.0 28.0 254384.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 278832.0 0.0 0.0 336.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.0477974 0.005051598 0.004327693 0.0043670353 0.004477195 0.0037493557 0.0035880508 0.0036077222 0.0049611097 0.0036077222 0.003855581 0.003737553 0.0040562283 0.0036077222 0.0036549333 0.004567683 0.0041585197 0.0035054313 0.0033952717 0.0033323236 0.003843778 0.004732922 0.0034621544 0.003222164 0.003501497 0.003249704 0.0035054313 0.0032733094 0.003489694 0.0034936285 0.0035132999 0.0033874032 0.0046503027 0.0036037879 0.0041152425 0.003454286 0.0038988579 0.003918529 0.0033087179 0.0034778914 0.003517234 0.0035487083 0.0032851123 0.0033480607 0.0034660886 0.0033874032 0.0036155907 0.0033283893 0.0035487083 0.0033441263 0.003414943 0.0040680314 0.0036509992 0.0038083699 0.0032929808 0.0035093655 0.0034621544 0.0039224634 0.0035526424 0.0038988579 0.0034975628 0.0036903417 0.0035251025 0.0033913376 0.006558422 0.0035487083 0.0046660397 0.0035959193 0.00378083 0.0059604133 0.0038319754 0.003769027 0.0037060787 0.0037611586 0.003426746 0.0034031402 0.003678539 0.004166388 0.003501497 0.0032733094 0.0049257013 0.0036391963 0.0036903417 0.0047998047 0.0034621544 0.0038791865 0.004626697 0.004732922 0.003367732 0.0036391963 0.0034031402 0.0035211684 0.003517234 0.0037414872 0.0035644453 0.0035526424 0.0035132999 0.004256876 0.0033283893 0.0038044355 0.0039657406 0.0061059813 0.004213599 0.0036509992 0.004540143 0.0047998047 0.0045283404 0.0035526424 0.0044968664 0.0038634494 0.0042057307 0.004520472 0.0037926326 0.003178887 0.00490603 0.0046385 0.006208272 0.00603123 0.0035054313 0.0037021446 0.0037768956 0.0036234593 0.0035487083 0.0032969152 0.003501497 0.003887055 0.003324455 0.003489694 0.0040916367 0.004134914 0.0038831208 0.004548012 0.0037926326 0.0042804815 0.00319069 0.003367732 0.0035959193 0.0050791376 0.003426746 0.006208272 0.0034188775 0.0041309795 0.0033716662 0.0034346145 0.0036116564 0.003414943 0.0032890467 0.0032851123 0.0034070746 0.0032693753 0.0032024928 0.0032418354 0.0034070746 0.0036509992 0.0032536383 0.0035408398 0.003367732 0.0032379013 0.0033795347 0.0034228116 0.003576248 0.003560511 0.0034936285 0.0036116564 0.0034385487 0.003119873 0.003501497 0.00316315 0.0033716662 0.0033323236 0.0035369054 0.0032536383 0.0034464172 0.0032418354 0.0031002017 0.0035251025 0.0035880508 0.0033205207 0.0033913376 0.003426746 0.0031985585 0.003399206 0.00345822 0.0031120046 0.0035801823 0.0033362578 0.003489694 0.0033913376 0.0034346145 0.0035919852 0.0033480607 0.0033519948 0.0048076734 0.003800501 0.003769027 0.0036628018 0.003517234 0.0033480607 0.0032969152 0.0037493557 0.003828041 0.0033047837 0.0039657406 0.0033047837 0.0033441263 0.0033637977 0.0033126522 0.0034306801 0.0035487083 0.003426746 0.003411009 0.003399206 0.003517234 0.0033441263 0.0038241069 0.0036195249 0.003710013 0.0034346145 0.00319069 0.0033519948 0.0033952717 0.0034188775 0.0034818256 0.0033008493 0.0036746047 0.0034936285 0.0032536383 0.0033480607 0.0033637977 0.0030962676 0.0033047837 0.0033480607 0.005673212 0.0038162384 0.0034031402 0.0039539374 0.0035919852 0.0035369054 0.0033362578 0.0031710186 0.0038909893 0.0031277416 0.0032457698 0.0034503515 0.0036155907 0.0032693753 0.0035841165 0.003411009 0.004272613 0.0033598633 0.003576248 0.0033205207 0.0039067264 0.0033519948 0.0033756006 0.010032379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0071463026 2.9652707e-05 0.0009093497 0.00022536058 0.00023129112 0.000120587676 0.0016328758 0.0010773817 0.0002629207 2.1745318e-05 7.907389e-06 3.558325e-05 4.7444333e-05 4.151379e-05 1.383793e-05 0.00034199457 0.009265482 5.3374875e-05 0.00075120194 0.00018582364 0.0008717896 0.0005238645 0.0019887083 0.0012216915 0.00054758665 0.00020361526 4.9421178e-05 0.00014035615 4.5467485e-05 6.325911e-05 3.7560098e-05 0.00024512905 0.0045329104 6.128226e-05 0.0006029384 0.00037362412 0.0007452714 0.0005910773 0.0030423678 0.0016961349 9.291182e-05 1.7791624e-05 2.3722167e-05 1.5814778e-05 7.11665e-05 1.9768471e-05 3.1629555e-05 0.00022733743 0.00302853 5.732857e-05 0.00017989309 0.00011465714 0.0005574709 0.0004408369 0.0019373102 0.0009469098 0.00036967042 0.00018780048 5.3374875e-05 4.5467485e-05 5.1398027e-05 3.7560098e-05 3.9536942e-05 4.9421178e-05 0.0050350297 0.00021152265 0.00017000886 0.00018582364 0.0008460906 0.00050409604 0.0014806585 0.0009686551 0.00095086347 0.00020756896 0.00014035615 0.00016210147 0.00037164727 0.00017593939 0.00022733743 0.00050804974 0.001409492 6.918965e-05 0.00025699014 0.00035780933 0.00011268029 0.00010872659 0.0007413177 0.00049618864 7.11665e-05 4.3490636e-05 6.325911e-05 5.732857e-05 5.3374875e-05 7.709704e-05 5.3374875e-05 7.709704e-05 0.0051101497 0.00071561866 0.00038746203 0.0006167763 0.0019096343 0.0011920389 0.00079073885 0.0011070344 0.0025323413 0.0002510596 0.00032815663 0.00037955467 0.0012039 0.0004645591 0.0011011038 0.0021527866 0.019305889 0.00416324 0.0025185032 0.0033705244 0.007110719 0.0060214764 0.0035365797 0.004732572 0.0077670324 0.0007650399 0.00146089 0.0016348526 0.003880551 0.001913588 0.004347087 0.008443114 0.05294985 0.051763743 0.052212488 0.052254003 0.052335054 0.052665185 0.05226784 0.052212488 0.051506754 0.052333076 0.05221644 0.05202271 0.052174926 0.052633557 0.05162141 0.05083858 1246.0 7.4470305 9279.0 0.009591551 0.006142903 0.010345942 0.0052807415 0.007220606 0.0076516867 0.005172971 0.005496282 0.008298308 0.0076516867 0.007436146 0.0066817547 0.0062506734 0.0065739844 0.009483781 0.0062506734 0.007220606 0.006466214 0.007436146 0.007759457 0.008190538 0.007436146 0.0075439163 0.006897295 0.0060351333 0.007220606 0.0063584438 0.006142903 0.007220606 0.008082768 0.00926824 0.0057118223 0.0060351333 0.009483781 0.008513848 0.012609118 0.010561483 0.010130402 0.011639185 0.010669253 0.0076516867 0.010561483 0.0062506734 0.007220606 0.009591551 0.009699321 0.008837159 0.0075439163 0.0127168875 0.0067895246 0.009591551 0.015411143 0.00926824 0.0067895246 0.009807091 0.019721953 0.0066817547 0.0066817547 0.0071128355 0.007220606 0.0062506734 0.0063584438 0.0076516867 0.006466214 0.007005065 0.024787154 0.010130402 0.014225671 0.017674318 0.051729713 0.009591551 0.011423645 0.009699321 0.025864856 0.0073283757 0.007759457 0.026188167 0.015626684 0.019721953 0.024356073 0.012501347 0.007005065 0.025757086 0.0231706 0.0322233 0.013579049 0.008621619 0.010561483 0.009699321 0.013255739 0.0073283757 0.006466214 0.0044185794 0.006897295 0.0063584438 0.007005065 6.362956 0.0 0.0 0.0 4.0 254177.0 253952.0 0.0 0.0 169.0 0.0 1.0 0.0 0.0 0.0 1399838700.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.193647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.549134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.469732 0.0 4.3893213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25658.0 0.0 3192.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 33956.0 3192.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056714375 0.008307221 0.00617472 0.0056649093 0.005765421 0.0049582203 0.00420283 0.005420366 0.005049406 0.0056244973 0.0037551913 0.0044680974 0.004957184 0.003170774 0.0043230294 0.0046421792 0.0050380076 0.0037707344 0.0049343877 0.004161382 0.004356188 0.003170774 0.0041054273 0.0038432684 0.0050711664 0.003351073 0.0031614483 0.0029293394 0.0041520563 0.0034350054 0.0037883497 0.003790422 0.0061674668 0.003820472 0.0034816344 0.0030236337 0.004893976 0.004165527 0.003841196 0.0037178881 0.00472922 0.0038909337 0.0033272405 0.0030982401 0.0043686223 0.003732395 0.0037251415 0.003583182 0.0055219135 0.0039520697 0.0031044574 0.0029034344 0.0036743677 0.0030681903 0.00268376 0.0028692398 0.004165527 0.003319987 0.0035230825 0.0033603988 0.0040028435 0.003221548 0.003500286 0.0034526207 0.00659749 0.003947925 0.003614268 0.003216367 0.0041593094 0.0032256928 0.0035406977 0.0030661179 0.005002777 0.0037769517 0.00370649 0.003587327 0.004130296 0.0031220727 0.0035655666 0.0034650553 0.0051675327 0.0036308472 0.0036505351 0.0033396748 0.0039354903 0.0033831953 0.0033624712 0.0035303358 0.004650469 0.0036412093 0.0038090737 0.0035023584 0.0041106082 0.00338734 0.0036847298 0.0037862775 0.005911525 0.0036225577 0.0033407111 0.002953172 0.0040028435 0.0030547197 0.0032661047 0.003030887 0.004976872 0.0031604122 0.003195643 0.0030505748 0.003578001 0.0028319366 0.0030889143 0.0031987515 0.0045012557 0.0032920097 0.0032246567 0.0031396882 0.0038909337 0.003330349 0.0032920097 0.003629811 0.004615238 0.0032971906 0.0034785257 0.003169738 0.004042219 0.0031997878 0.0034712723 0.0033490006 0.008646059 0.0045965863 0.0040194225 0.003525155 0.0043675858 0.0034318967 0.0030184526 0.0033811228 0.0045395955 0.0038339426 0.002958353 0.0031894257 0.0037303225 0.002798778 0.0028485158 0.0029821857 0.005231777 0.0032132585 0.0035013221 0.003030887 0.003659861 0.003174919 0.0033023716 0.0032640323 0.004538559 0.0028412624 0.0030391766 0.0027024115 0.0035137567 0.0032205118 0.0029801133 0.0031521225 0.0050203926 0.0034111727 0.0032723218 0.002798778 0.0037707344 0.0030111992 0.0030526472 0.003185281 0.0041375495 0.002999801 0.0031189641 0.003015344 0.0036422454 0.0028329727 0.0029200136 0.0030371044 0.0046763737 0.0031117108 0.0038443047 0.002854733 0.0035614218 0.0031479776 0.0029852942 0.0031200002 0.004255676 0.00315005 0.0033396748 0.0031832086 0.0036494988 0.003190462 0.0033344938 0.0033417472 0.0067156167 0.0040598344 0.003727214 0.0033427835 0.00412097 0.0032515978 0.0033065164 0.0032236204 0.004335464 0.0033313853 0.0031168917 0.0030847695 0.0036453542 0.0029811494 0.003077516 0.0027946334 0.004249459 0.0032764666 0.003097204 0.0030070546 0.0037106348 0.0030225974 0.002932448 0.0029417737 0.0039831554 0.0031065298 0.0027231355 0.002638167 0.003526191 0.0029397013 0.0035790373 0.0028868553 0.004956148 0.0032350186 0.003397702 0.002973896 0.0038038928 0.0030723352 0.0031966793 0.0029148327 0.004444265 0.005451452 0.0034660914 0.003133471 0.003794567 0.0030795885 0.0032495253 0.003190462 0.004615238 0.0033189508 0.0034142814 0.003040213 0.0037406846 0.0030847695 0.0033168786 0.003238127 0.004346862 0.003036068 0.0031894257 0.0028723483 0.0040132054 0.0030951316 0.0042256266 0.004517835 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923266 0.062017944 0.06244292 0.055320036 0.06060032 0.059549555 0.054939684 0.05447527 0.06045918 0.05315053 0.05212623 0.05295387 0.056432027 0.050539963 0.056667607 0.05383184 4023.0 5.702461 22941.0 0.01708731 0.010505209 0.009371867 0.008718016 0.013469335 0.012510353 0.011812911 0.011464191 0.012597533 0.009720587 0.008500066 0.008587246 0.013861645 0.010548799 0.011769322 0.009938538 0.016825771 0.011900092 0.008805196 0.0075410837 0.009807767 0.008456475 0.007846214 0.008325705 0.010330848 0.0084128855 0.009633407 0.008848786 0.011594961 0.0089359665 0.009633407 0.009197507 0.018002702 0.010853929 0.010330848 0.009110327 0.010853929 0.008892376 0.010679569 0.008325705 0.014210366 0.011594961 0.009720587 0.0089359665 0.011420601 0.009371867 0.011725731 0.009546227 0.014777036 0.009676998 0.009938538 0.009023147 0.012030861 0.009371867 0.009633407 0.009764178 0.013730875 0.009197507 0.010505209 0.009589817 0.01111547 0.009807767 0.010418029 0.010679569 0.017959112 0.0109847 0.009676998 0.008194935 0.013077023 0.008238525 0.009415457 0.008325705 0.015430888 0.009284687 0.008892376 0.008718016 0.0113770105 0.007976985 0.010025718 0.007889804 0.013207794 0.007976985 0.008718016 0.008805196 0.011464191 0.009459048 0.008151345 0.007976985 0.01089752 0.008892376 0.011943681 0.008543655 0.011333421 0.008979556 0.010069308 0.008718016 6.5546436 0.0 0.0 0.0 14.0 965064.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0