Input: 0.007252388 0.00042930737 0.0003163906 9.726496e-05 0.0002504293 0.00014310246 0.00022024363 8.832105e-05 0.00012633264 7.043324e-05 0.00032421653 3.8011593e-05 9.8382945e-05 6.596129e-05 5.925336e-05 3.2421653e-05 5.925336e-05 5.366342e-05 5.58994e-05 2.683171e-05 2.683171e-05 3.353964e-05 6.596129e-05 4.6955494e-05 2.235976e-05 3.130366e-05 2.4595736e-05 1.676982e-05 2.683171e-05 2.79497e-05 2.235976e-05 3.68936e-05 0.00033092443 1.676982e-05 4.5837507e-05 4.248354e-05 4.5837507e-05 3.0185676e-05 2.4595736e-05 1.0061892e-05 9.1675014e-05 2.9067687e-05 5.925336e-05 2.4595736e-05 0.00013751253 0.0013337596 0.00023142352 4.248354e-05 0.000186704 6.4843305e-05 5.7017387e-05 6.4843305e-05 0.0001475744 0.0013717712 8.3849096e-05 7.2669216e-05 0.00015316435 6.707928e-05 6.1489336e-05 6.260732e-05 8.0495134e-05 6.9315254e-05 9.5028976e-05 8.943904e-05 5.7017387e-05 9.2793e-05 8.7203065e-05 0.00015540032 9.391099e-05 0.00011850672 7.825916e-05 5.4781412e-05 3.0185676e-05 0.00010397288 6.9315254e-05 4.6955494e-05 7.37872e-05 6.819727e-05 3.8011593e-05 4.248354e-05 0.000120742705 6.260732e-05 7.043324e-05 0.00017887808 6.4843305e-05 3.68936e-05 6.4843305e-05 0.00019900186 0.00092569407 0.00028173297 0.00050756655 0.00013192258 0.00019452992 8.7203065e-05 0.00013192258 0.00037564395 0.00022583357 0.00050868455 0.00034098633 0.00032980644 0.00021465369 0.00079377147 0.00011627075 0.00021241771 0.00017440613 0.00047179093 0.00012633264 0.00019452992 0.00034657627 0.00027502506 0.00041477353 0.0006316632 0.00025378328 9.2793e-05 0.00052880833 0.0004740269 0.0005981236 0.0002224796 0.0001475744 0.00012633264 0.000120742705 0.00016434424 9.5028976e-05 0.00020011984 0.00010844483 0.0001587543 0.00010732684 0.00013080459 0.00012745064 8.273111e-05 7.2669216e-05 8.273111e-05 8.161312e-05 9.614696e-05 0.00016881619 8.496708e-05 0.00010732684 0.00012856862 9.950093e-05 7.937715e-05 0.00011515276 0.00013080459 9.726496e-05 0.00017887808 0.00013415856 0.00016993417 9.614696e-05 0.00010173691 0.00010732684 0.00019229393 8.3849096e-05 0.00014422045 0.00010173691 6.596129e-05 0.00012297867 9.5028976e-05 0.00013863051 0.00014645643 0.000106208856 0.00012186069 0.00016210826 0.00012633264 9.2793e-05 0.00014198448 0.00015428234 0.00012186069 8.832105e-05 0.00010397288 7.825916e-05 0.00011515276 0.0001117988 9.726496e-05 6.0371352e-05 7.155123e-05 0.00010509087 8.7203065e-05 0.00016322624 0.00016658021 7.043324e-05 0.00013639453 0.000106208856 9.950093e-05 5.58994e-05 0.00011515276 9.391099e-05 7.937715e-05 7.49052e-05 0.000109562825 7.6023185e-05 8.161312e-05 7.714117e-05 8.496708e-05 0.00011850672 8.496708e-05 9.1675014e-05 0.00014086648 8.832105e-05 9.2793e-05 4.3601533e-05 0.00011850672 6.260732e-05 6.707928e-05 4.1365554e-05 9.055703e-05 7.714117e-05 8.496708e-05 5.925336e-05 0.00012745064 5.8135374e-05 0.00011515276 4.6955494e-05 9.055703e-05 6.1489336e-05 0.0002515473 7.155123e-05 0.0004471952 0.000102854894 0.00015651832 6.707928e-05 0.00011515276 4.471952e-05 8.0495134e-05 5.030946e-05 0.000186704 4.248354e-05 0.00012521465 5.4781412e-05 9.1675014e-05 6.1489336e-05 8.3849096e-05 4.5837507e-05 0.00023142352 5.4781412e-05 9.055703e-05 0.00013639453 0.00015204637 0.00022024363 0.0015573573 0.0075631887 0.0010810944 0.0010106611 0.0029447803 0.008313359 0.0023332408 0.0033807957 0.010341389 0.005311561 0.0047894605 0.0057486943 0.009205513 0.008123301 0.0037452597 0.007540829 0.0030386914 0.0060729105 0.8672322 5.4875643e-05 2.2398222e-06 3.919689e-05 6.6074754e-05 2.2398222e-06 7.447409e-05 6.2155064e-05 2.9677645e-05 1.7358623e-05 1.2319022e-05 3.5837154e-05 6.327498e-05 6.6074754e-05 6.55148e-05 0.008206708 0.7836332 1.5678756e-05 1.6798667e-06 1.7918577e-05 2.0718357e-05 1.6798667e-06 7.7273864e-05 5.935529e-05 5.0396e-05 3.6397112e-05 1.6238711e-05 2.2398222e-05 0.00014502849 0.00017246632 0.00011983049 0.00018366543 0.020848265 0.0 0.0 0.0005694748 0.00075538 0.00012543004 0.00091272756 0.0005011602 0.00033317355 0.0003454926 0.00039588858 0.00033429347 0.0003074156 0.00020214396 0.00054147706 0.0011529485 0.07265143 0.0 0.0 0.00047148258 0.0007268223 0.000117030715 0.0010426373 0.0006181909 0.0004070877 0.00036845077 0.00041772684 0.00037629015 0.00027549814 0.00022678201 0.00048380162 0.001033678 0.04848039 0.0 0.0 0.00022958178 0.00029677644 5.151591e-05 0.0003124552 0.0001663068 0.00010863138 0.00011535085 0.0001159108 0.00013270947 5.8795333e-05 5.935529e-05 0.00010527165 0.00035557177 0.011653235 0.0 0.0 0.00012375019 0.00018422538 3.0797557e-05 0.00015734752 0.00010751147 5.7115467e-05 5.823538e-05 7.167431e-05 7.111436e-05 3.2477423e-05 3.5837154e-05 3.6957066e-05 0.00021950257 0.004547399 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00038692929 6.159511e-06 1.2319022e-05 3.3597335e-06 7.839378e-06 1.4558845e-05 5.5995555e-05 2.6877868e-05 8.399334e-06 2.7997778e-06 6.719467e-06 6.719467e-06 5.0396e-06 1.1199111e-06 3.3597335e-06 0.0005985925 0.003935368 0.00022510214 0.0004462846 0.00022118245 0.00038580937 0.000302376 0.0018366543 0.001272779 0.00023966098 0.00031021537 0.00025142005 0.00022790191 0.00015566764 0.0001472683 9.631236e-05 0.0037074657 0.0016305906 9.687231e-05 0.00017582605 7.895374e-05 0.00013942893 0.00017526609 0.00066354737 0.0004132472 0.00010023204 7.951369e-05 5.5995555e-05 6.2155064e-05 8.119355e-05 6.8874535e-05 7.335418e-05 0.0006921051 0.001272219 3.6957066e-05 6.943449e-05 6.831458e-05 0.00014950814 0.00015286787 0.00049836043 0.00030909546 0.0002810977 0.00033597334 0.0002547798 0.00022062249 0.00022342226 0.00021110325 0.00015062805 0.00264635 0.0001411088 6.159511e-06 3.6397112e-05 3.3597335e-05 1.7918577e-05 2.2958178e-05 0.00013158956 7.951369e-05 2.8557733e-05 3.6957066e-05 2.7997778e-05 2.5757956e-05 2.911769e-05 2.8557733e-05 1.7918577e-05 0.0004826817 0.0006372294 6.4954846e-05 0.00010807142 9.631236e-05 5.7675425e-05 7.167431e-05 0.000327574 0.00018982493 4.4796445e-05 4.1436713e-05 4.703627e-05 4.647631e-05 2.5198e-05 1.3438934e-05 1.5118801e-05 0.0005067598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003247742 0.00010807142 0.00010751147 0.00013774907 0.00010751147 0.000113670976 0.00020214396 0.000151188 8.7913024e-05 9.183271e-05 9.9112134e-05 0.000117590665 0.000105831605 0.000121510355 0.000100792 0.0003163749 211.0 21.402843 4516.0 0.02170062 0.0002214349 0.0048715677 0.0011071744 0.0006643047 0.0002214349 0.0006643047 0.0004428698 0.0004428698 0.0004428698 0.0011071744 0.0 0.0055358727 0.0024357839 0.025022143 0.0015500443 0.011293179 0.0042072632 0.0033215235 0.0042072632 0.0026572188 0.0053144377 0.0011071744 0.0035429583 0.0017714791 0.0019929141 0.0019929141 0.0 0.0026572188 0.0073073516 0.0026572188 0.0006643047 0.0002214349 0.0090788305 0.005978742 0.014171833 0.01040744 0.0039858283 0.0033215235 0.0024357839 0.0011071744 0.0088573955 0.0004428698 0.0017714791 0.0017714791 0.0039858283 0.0017714791 0.0011071744 0.0050930027 0.0008857396 0.006864482 0.021922056 0.005757307 0.0015500443 0.0037643933 0.0015500443 0.0006643047 0.0004428698 0.0004428698 0.0 0.0026572188 0.0 0.0002214349 0.012843224 0.0002214349 0.045394152 0.01992914 0.028343666 0.018821966 0.099202834 0.0088573955 0.017493358 0.011957484 0.052701507 0.0015500443 0.0075287865 0.036315322 0.024800709 0.048051372 0.055580158 0.010628875 0.0011071744 0.052701507 0.058237378 0.07883082 0.030558016 0.0050930027 0.0048715677 0.0053144377 0.016164748 0.0031000886 0.0002214349 0.0 0.0002214349 0.0 0.0 5.214048 1.0 0.0 0.0 3.0 894464.0 917504.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1526990500.0 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 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 885760.0 512.0 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 -885760.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2619346 0.0 4.5929465 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 -885544.0 0.0 7336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 893648.0 7336.0 901120.0 0.0 0.0 0.0 0.0 12.0 909312.0 28.0 893336.0 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: 0.011747201 0.004107301 0.003982661 0.0040849918 0.004132035 0.0038895446 0.0038027333 0.0039157337 0.0042678295 0.0038628709 0.0038090379 0.0038172826 0.004035039 0.0037799391 0.0037872137 0.003988966 0.003997695 0.0038104928 0.0037886687 0.003805158 0.004023399 0.0038250422 0.0037649046 0.0037978834 0.0039540473 0.0038226175 0.0038963344 0.0037639346 0.0037746043 0.0037862437 0.0038163126 0.003804188 0.0038682055 0.0037983684 0.0039162184 0.0038914846 0.003932223 0.003804673 0.0038357119 0.0038260121 0.0039137937 0.0038201925 0.0038720854 0.003834742 0.0038531711 0.0037876987 0.0040156394 0.0037847888 0.0038851798 0.0038497762 0.0038963344 0.003952592 0.003830862 0.0038235874 0.0038779052 0.0037697544 0.003910884 0.0038774202 0.0038391068 0.0038934245 0.003861901 0.003855596 0.0037746043 0.0038502612 0.0043653105 0.0038716004 0.0038022483 0.003834257 0.0037775142 0.0041882927 0.0040132147 0.0039749015 0.0038929395 0.0037915786 0.0037978834 0.0038434716 0.0038449264 0.0039200983 0.0038473513 0.0038240722 0.0039972104 0.0038429867 0.0038943945 0.003930768 0.003956957 0.0039011843 0.0039501674 0.003936588 0.0038861497 0.0038677205 0.0038458963 0.0038211625 0.00375569 0.003907004 0.0038211625 0.0038977894 0.0038458963 0.003914279 0.0039220382 0.0039361026 0.003928828 0.004107301 0.0038507462 0.0038793602 0.003956472 0.0039428924 0.004010305 0.0037653896 0.003951622 0.003959382 0.003907489 0.0038725703 0.0038749953 0.0037891536 0.0039458023 0.003911854 0.0041756835 0.0040437686 0.003804673 0.003861416 0.0038425017 0.0037862437 0.0038206775 0.003806128 0.0038633558 0.0038648106 0.0038492912 0.0038187376 0.0038657805 0.0038526861 0.003805158 0.0041451296 0.0038779052 0.0039943005 0.0039147637 0.0038652956 0.003883725 0.004230971 0.0038934245 0.0046213805 0.0038633558 0.0039608367 0.0038987594 0.003856566 0.0037988534 0.0038740253 0.0038376518 0.0037629649 0.0037750893 0.0037930335 0.003905064 0.003781394 0.003681488 0.0038211625 0.0038813 0.0038522012 0.0037954585 0.0038638408 0.003911854 0.0038502612 0.0037673295 0.0038783902 0.0038182526 0.0037862437 0.0038250422 0.0038027333 0.0037998233 0.0038197075 0.003827467 0.003803703 0.0037775142 0.0038260121 0.0037668445 0.0037969134 0.0037896386 0.0037493852 0.0038764502 0.0038250422 0.0037678145 0.0037915786 0.0038197075 0.0038231025 0.0038997293 0.0037949735 0.003930768 0.0038182526 0.0038754803 0.0038085529 0.003857051 0.0038803301 0.003830862 0.0038264971 0.003907489 0.003936588 0.0038114628 0.003857051 0.0038749953 0.0038134027 0.0038866347 0.003882755 0.003833287 0.0038667505 0.003910399 0.0038633558 0.0038454114 0.0037682995 0.003861416 0.0038507462 0.003832802 0.0037988534 0.0038386218 0.0038439566 0.0037658745 0.003829892 0.0038667505 0.0038643256 0.0038395918 0.0038395918 0.0038235874 0.0038468663 0.003913309 0.0037716944 0.0038264971 0.003827952 0.0038100078 0.003804673 0.0038090379 0.0038769352 0.003854626 0.003755205 0.0037876987 0.0038861497 0.004027279 0.0038468663 0.003911854 0.003923978 0.004011275 0.0037168916 0.003861901 0.003861901 0.0039487123 0.0038381368 0.0038458963 0.0038686905 0.0038900296 0.0038357119 0.003854141 0.0038197075 0.0039176736 0.0038531711 0.0038371668 0.0038366818 0.004028249 0.003834257 0.0038425017 0.0045675477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048027266 0.0 4.8536904e-06 2.426845e-07 9.70738e-07 2.1841606e-06 4.611006e-06 3.3975832e-06 2.426845e-07 0.0 0.0 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021198492 3.227704e-05 2.523919e-05 2.6209927e-05 2.4268451e-05 7.1106566e-05 2.7180666e-05 2.1598922e-05 1.7958655e-05 1.0920803e-05 1.1648857e-05 1.1406172e-05 1.4318387e-05 3.980026e-05 1.23769105e-05 1.8929393e-05 0.00041110758 3.1548986e-06 3.1548986e-06 3.3975832e-06 1.23769105e-05 5.8244286e-06 2.1841606e-06 4.1256367e-06 1.4318387e-05 2.9122143e-06 3.3975832e-06 2.4268452e-06 6.7951664e-06 2.1841606e-06 6.3097973e-06 1.3347649e-05 0.00030990812 0.0 3.980026e-05 5.581744e-06 4.8536904e-06 3.1548986e-06 8.008589e-05 5.3390595e-05 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.0006222431 9.464697e-06 3.3490465e-05 1.504644e-05 2.0628184e-05 1.6259863e-05 0.000122313 6.334066e-05 8.008589e-06 7.037851e-06 6.3097973e-06 7.52322e-06 8.008589e-06 3.591731e-05 7.765904e-06 1.0678119e-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 0.0006819435 1.7473285e-05 4.4653953e-05 2.9122142e-05 0.00011017877 5.9700393e-05 0.00023540398 0.00013930092 1.6017178e-05 1.5774494e-05 1.8686707e-05 1.8686707e-05 1.5289124e-05 1.820134e-05 5.6302808e-05 1.4318387e-05 0.0002919495 1.3347649e-05 1.3590333e-05 1.3347649e-05 1.4075702e-05 1.3833018e-05 1.3590333e-05 1.3590333e-05 1.4561071e-05 1.3590333e-05 1.3347649e-05 1.3590333e-05 1.4803755e-05 1.3104964e-05 1.3590333e-05 1.3104964e-05 0.001077762 4.7566165e-05 6.236992e-05 5.6788176e-05 0.00017279138 0.00011988615 0.00024681014 0.00016842305 0.000105567764 2.7180666e-05 2.8151404e-05 4.683811e-05 6.067113e-05 7.862978e-05 9.683112e-05 8.882253e-05 0.00031403376 2.4025767e-05 4.513932e-05 3.0820935e-05 8.493958e-05 3.6159992e-05 0.0001426985 9.027864e-05 2.208429e-05 2.256966e-05 2.0628184e-05 2.1841606e-05 2.4025767e-05 2.0628184e-05 6.5767505e-05 2.8394088e-05 0.0031150985 0.00051473384 0.00036451215 0.00049798866 0.0010282543 0.0008775472 0.00036257066 0.00066252874 0.0020511695 0.00019705982 0.00010168481 0.0002773884 0.0006999021 0.00031233497 0.000593121 0.0012665705 0.00034849497 0.00010119945 7.887247e-05 8.227005e-05 0.00018055728 0.00016429742 5.3633277e-05 0.00013177769 0.00030384102 1.504644e-05 1.0920803e-05 2.6695297e-05 0.0001332338 4.1499054e-05 8.9065215e-05 0.00022666734 0.061065733 0.060677197 0.06104753 0.06100021 0.060950216 0.06084683 0.061470047 0.06072258 0.060986135 0.060891002 0.06062623 0.061012343 0.060802907 0.06078179 0.06082111 0.060950216 9754.0 5.8289933 56856.0 0.010764035 0.010042915 0.010570564 0.009603208 0.010253975 0.010341916 0.009831856 0.009796679 0.009814268 0.009110736 0.010623329 0.009515267 0.010500211 0.009638385 0.011291685 0.009831856 0.00958562 0.00999015 0.010377093 0.010253975 0.010183622 0.009638385 0.009216266 0.00969115 0.01030674 0.010359504 0.010218798 0.009497678 0.009216266 0.009286619 0.009603208 0.01030674 0.010289151 0.010552976 0.009603208 0.010640917 0.009040383 0.009708738 0.010728858 0.01071127 0.009814268 0.010078092 0.009304207 0.010588152 0.010746447 0.009796679 0.010007739 0.01020121 0.009761503 0.010183622 0.011590686 0.010236386 0.010253975 0.009779091 0.009884621 0.010517799 0.009902209 0.009779091 0.010517799 0.009814268 0.009638385 0.01009568 0.009673561 0.011309273 0.009796679 0.012558041 0.010482622 0.011678627 0.012083158 0.01567117 0.010394681 0.011203743 0.010377093 0.012610806 0.010482622 0.009427325 0.01236457 0.0111158015 0.0135078095 0.012206276 0.011291685 0.008934853 0.013841987 0.0124701 0.013595751 0.010447446 0.010588152 0.010113268 0.009515267 0.0110982135 0.010253975 0.009779091 0.008846912 0.009216266 0.010341916 0.00969115 6.577048 1.0 0.0 0.0 37.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1442778200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 166400.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 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 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6281695 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 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 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.3559662 0.018579453 0.018514317 0.009591251 0.013471175 0.005483894 0.013582991 0.006763813 0.0055685705 0.003069526 0.012266705 0.0028800892 0.0027476465 0.0024377084 0.0036633476 0.002320464 0.0029712794 0.005924104 0.006292664 0.003586813 0.0020512359 0.003080382 0.0029414254 0.0028491498 0.0020262671 0.0015475188 0.0014655562 0.0021483968 0.0018704839 0.0016425085 0.0018357448 0.0027747864 0.006845233 0.0015008381 0.002430652 0.0017939493 0.0014367879 0.0024501928 0.0018107761 0.001447101 0.008899726 0.0013141154 0.005309656 0.0025663518 0.0031031794 0.0027362476 0.003311614 0.00152255 0.0032964158 0.002128856 0.002244472 0.0029370831 0.0014167043 0.0017782082 0.0016338237 0.0017163291 0.0016995023 0.0017282707 0.0015176649 0.0014655562 0.0017825506 0.001533406 0.0018015485 0.0017081872 0.0018959955 0.002656999 0.0017309847 0.002759588 0.002347604 0.002557667 0.0018645131 0.0017336986 0.0015757442 0.0026852246 0.0015051805 0.0014139903 0.0018156612 0.001970359 0.0020045552 0.0017613814 0.002279754 0.0015399195 0.0024349943 0.0032643906 0.002697166 0.0021321129 0.0019377909 0.0017955777 0.0016419657 0.0014671845 0.0015990846 0.0012538647 0.0015236356 0.0013949923 0.0012500652 0.0047256043 0.0016995023 0.0066443975 0.0023302343 0.003947774 0.0039542876 0.012386664 0.0022081046 0.0029897345 0.0022189606 0.006735045 0.0013694809 0.0018498576 0.0051375884 0.003312157 0.006733959 0.0122520495 0.005265146 0.0016696485 0.00938933 0.0075302445 0.009281313 0.0038359575 0.0019242209 0.0020116116 0.0025799216 0.003134119 0.0019225926 0.00532214 0.0020137827 0.0033903199 0.0017255567 0.0019502753 0.004853162 0.0029701937 0.0022916957 0.0016935315 0.0014617565 0.0012858899 0.002700423 0.0016783333 0.0012451799 0.0012592927 0.0010877684 0.0010313173 0.0015985419 0.0013455977 0.0012283532 0.0011800441 0.0012326955 0.0015068089 0.0012576643 0.0012766622 0.0011881861 0.0010855972 0.0013901072 0.0011442194 0.0012489796 0.0014145331 0.0012500652 0.0011556182 0.0012913179 0.0013108585 0.0011968709 0.0011990421 0.001457957 0.0011946997 0.0015708591 0.0011029667 0.0010899395 0.0011675598 0.0011089375 0.0009455551 0.0013890215 0.0010128622 0.0010242609 0.0011463906 0.0009721523 0.000983551 0.0012875182 0.0011681025 0.0013027166 0.0010991672 0.0010655136 0.0010155762 0.0011615889 0.0010172045 0.0009797515 0.0010899395 0.0011501902 0.001156161 0.0010264321 0.0014405875 0.0012397519 0.0011067663 0.0010969959 0.0014020487 0.0019622168 0.0010915679 0.0011420482 0.0010383737 0.001150733 0.0011154511 0.0014932388 0.0009428411 0.0010503152 0.0010508581 0.0009868079 0.0009091876 0.0011279355 0.0010394593 0.00094881194 0.0009743235 0.0013168294 0.00094338396 0.001005263 0.0011322779 0.0011273926 0.0011257642 0.00089941727 0.0015350344 0.0010649709 0.0010296889 0.0009949498 0.0010155762 0.0011767873 0.001307059 0.0014628422 0.0009542399 0.0022759545 0.0013597105 0.0009857222 0.00093849876 0.0013157438 0.0009471835 0.0010389165 0.0010134049 0.0011149083 0.0010438017 0.0010280606 0.0014183327 0.0010248037 0.0010068914 0.0010134049 0.0010508581 0.0014503578 0.0010801692 0.001080712 0.0011154511 0.0011404199 0.0010573716 0.0010991672 0.001301631 0.0018482292 0.0012066412 0.0010747412 0.0011621318 0.0017885213 0.0013504829 0.0027232205 0.034079608 0.00054422446 8.1470733e-07 8.1470733e-07 1.3578456e-06 2.7156912e-06 1.0862764e-06 2.715691e-07 5.431382e-07 8.1470733e-07 1.0862764e-06 0.0 2.715691e-07 2.715691e-07 0.0 2.715691e-07 1.6294147e-06 0.013227045 0.00011460216 0.00011758942 7.305209e-05 3.992066e-05 1.7380422e-05 2.0367683e-05 1.3306886e-05 1.1405902e-05 8.418642e-06 2.7156912e-06 2.444122e-06 1.3578456e-06 1.9009838e-06 4.3994194e-05 0.00020883665 0.009539951 5.97452e-05 5.214127e-05 2.3626511e-05 2.0639252e-05 2.0096113e-05 1.4121593e-05 2.6613772e-05 2.172553e-05 8.418642e-06 1.38500245e-05 9.233349e-06 2.0367683e-05 4.888244e-06 6.1374616e-05 0.0006705041 0.0048714066 5.214127e-05 8.119916e-05 5.458539e-05 4.4537333e-05 3.6933397e-05 2.0639252e-05 2.5255928e-05 2.98726e-05 1.4121593e-05 1.3306886e-05 1.6022577e-05 1.00480565e-05 1.1134333e-05 2.8243187e-05 0.0002522877 0.009771871 0.00015153555 0.00017190324 0.00015262184 0.00043451056 0.00032995647 0.00014610418 0.00011215804 6.816385e-05 6.571972e-05 8.201387e-05 7.142268e-05 7.223738e-05 5.105499e-05 4.7524594e-05 0.0005070195 0.012876721 0.00025880535 0.00026152105 0.00021019448 0.0012970141 0.0011316284 0.00024577003 0.00018629641 0.00022160039 9.9394296e-05 8.3914856e-05 0.00010645509 0.00010536881 0.00013062474 0.00012790905 0.0010105086 0.027528688 0.0007557768 0.0005901197 0.00055861764 0.0010653656 0.0010982255 0.0015110105 0.00096732914 0.0013866319 0.00040545268 0.00054286665 0.0003462506 0.00037558007 0.00031773586 0.0004738881 0.0015647812 0.047861066 0.00092143397 0.004221542 0.0018887632 0.0053786975 0.0045873453 0.031656537 0.016653975 0.00069304433 0.00047361653 0.0003799252 0.00031311918 0.00038617128 0.00029736818 0.0004554214 0.0034092786 0.07696431 0.0046226494 0.007609638 0.0029057895 0.0038815371 0.003714522 0.013382383 0.010114863 0.0018110943 0.0013372062 0.0011280981 0.0011424912 0.0009461468 0.0011441206 0.0010868196 0.0050270157 0.12181069 0.017696802 0.017087128 0.0067289392 0.00456915 0.005087304 0.011175883 0.014453994 0.0048274123 0.0030179475 0.0025712163 0.0029807426 0.002147297 0.0028715718 0.00240746 0.0074852593 0.06975904 0.009225474 0.0062045394 0.004456721 0.003028267 0.0035724915 0.0045134784 0.006100257 0.0064437916 0.003605623 0.003088827 0.0025750182 0.0029402787 0.0027287262 0.0031735566 0.0070711165 0.034317374 0.0028327373 0.0027072723 0.003260187 0.0026073349 0.0036354957 0.0027732637 0.0035958465 0.0025994594 0.0021826008 0.0019629016 0.002373514 0.0020913538 0.002014771 0.0020503467 0.0057474887 0.015586166 0.0014488212 0.0016101332 0.0017657423 0.0013488837 0.0016823706 0.0015704841 0.0016522264 0.0016321304 0.0012448728 0.0011949041 0.0011340725 0.0012603522 0.0012236903 0.0011541687 0.0034231285 0.016242005 0.0013317749 0.0018542738 0.0024427641 0.0024764386 0.002485672 0.0028856932 0.0028661403 0.0027023843 0.0023140404 0.0021820578 0.0020389408 0.0022860686 0.0021367057 0.0020316085 0.007896958 0.008648933 0.0011642168 0.001601443 0.0020283496 0.0018928366 0.0018124522 0.002108734 0.002145939 0.0021228557 0.0019599143 0.0018148964 0.0015979126 0.0016725941 0.0016095901 0.0015954685 0.005156011 0.0074113924 0.004351895 0.004298124 0.0038239646 0.004187867 0.0037180525 0.0037544428 0.0040319865 0.0043307124 0.0034065628 0.0035616287 0.0036365818 0.0037006722 0.0035447916 0.003835642 0.0051465062 9706.0 15.673192 152124.0 0.0045292 0.001156951 0.0071783545 0.005206279 0.0014593358 0.003339381 0.0021890036 0.0019720753 0.0010714943 0.0017222792 0.0014527622 0.001978649 0.0021298414 0.0013081434 0.011129078 0.0011832452 0.006724777 0.00689569 0.007145487 0.01170098 0.002925245 0.0059556677 0.0023796377 0.0057058716 0.0023204754 0.0027411848 0.0014790565 0.0013541585 0.0063106413 0.0017157056 0.0063106413 0.0009926113 0.0018537509 0.012825063 0.0064026713 0.015783178 0.011359154 0.011037049 0.0073558413 0.006573585 0.00287923 0.012594989 0.0036220453 0.0022152981 0.0069351317 0.006744498 0.009288475 0.006008256 0.008972943 0.001584234 0.013889984 0.019707607 0.013094581 0.0061200075 0.004292551 0.006520996 0.0013673056 0.0012752755 0.0010189057 0.00074938865 0.0008808604 0.000617917 0.00063763774 0.02847677 0.002103547 0.044660933 0.010445426 0.022501381 0.021646814 0.09559307 0.0080000525 0.016703479 0.0070534563 0.043543424 0.0014987773 0.0071191923 0.031198233 0.017682943 0.045397177 0.041262392 0.014060898 0.0030369961 0.0465607 0.042202413 0.06453288 0.018373169 0.0055809733 0.0069088377 0.004141358 0.016519418 0.0031224526 0.00067707925 0.0008677132 0.0005521811 0.00067050563 0.0014330414 5.601506 1.0 25.0 2.0 7.0 1842304.0 1859584.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1529497100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1802752.0 512.0 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 -1802752.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.717076 0.0 4.099642 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 -1802716.0 0.0 32392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1810820.0 32392.0 1818624.0 0.0 0.0 5760.0 1836544.0 12.0 1851392.0 28.0 1810508.0 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: 0.03444305 0.0055911588 0.0042056306 0.004121334 0.005313236 0.003651317 0.0033836116 0.0041463673 0.005467524 0.0032002027 0.003184365 0.003345806 0.004175488 0.0034423636 0.0032002027 0.005310681 0.004283796 0.003304424 0.003020881 0.0032318777 0.003427037 0.0035358563 0.0031143734 0.0032916516 0.0032007135 0.0031194824 0.0031113082 0.0031879414 0.0034668862 0.0031010904 0.0033376317 0.0049678753 0.0038633354 0.0029595743 0.003029566 0.0031056884 0.0034423636 0.0029064422 0.002924323 0.003477104 0.0031235695 0.0030101524 0.0029682596 0.0032655965 0.0031792563 0.0032967606 0.0032032682 0.0037545164 0.0030408057 0.0029897168 0.0030653283 0.004088126 0.0032058225 0.0030372294 0.0029984019 0.00341733 0.0034592228 0.0031097755 0.003076057 0.003874575 0.0033841224 0.0033417188 0.003586945 0.0058884956 0.0042434363 0.0037402115 0.0034418528 0.004201032 0.0050041485 0.0070420806 0.0032732596 0.003632925 0.0031920285 0.0032334104 0.0030356967 0.0031026232 0.0030280335 0.00558043 0.0032436282 0.004025798 0.004499902 0.0035343235 0.0031644406 0.0034776148 0.003207866 0.00505115 0.003975731 0.0036942314 0.003212464 0.0039374144 0.003144005 0.0034719952 0.0030821876 0.0040094494 0.0037999854 0.0046255803 0.003659491 0.0035930756 0.0031930504 0.0035210403 0.004065136 0.0042107394 0.003591032 0.0035516936 0.0036068696 0.0035486284 0.0039501865 0.0033212833 0.0035021375 0.003285521 0.003695764 0.004279198 0.0035981846 0.0031297002 0.003737146 0.0036298595 0.0051221633 0.0049070795 0.003600228 0.003573662 0.0035424978 0.003289608 0.0033141307 0.003408645 0.0035516936 0.00397522 0.005307105 0.005662683 0.004239349 0.0033703283 0.00313532 0.005855288 0.0031644406 0.004062071 0.0029692813 0.003669198 0.0032717271 0.006118906 0.003089851 0.0125622265 0.002924323 0.004791108 0.0030970033 0.00388326 0.0030535778 0.0029161489 0.0029498676 0.0034612664 0.0029422042 0.003162397 0.003007087 0.0033386534 0.0028757888 0.0030510235 0.002935052 0.0033008477 0.0030643065 0.0032870537 0.003153201 0.004339483 0.003144516 0.0031915177 0.0030101524 0.0035435194 0.0031475814 0.0029922712 0.0029886952 0.0033616433 0.00324465 0.003162397 0.0030183266 0.0032885864 0.0032737707 0.0030229245 0.0030229245 0.0036058477 0.0039307727 0.003185387 0.003304424 0.0035716183 0.0031179497 0.0032339212 0.003267129 0.003655915 0.003481702 0.0031143734 0.0032359648 0.0034745496 0.003395362 0.0033473384 0.0033069784 0.004896351 0.0049499944 0.004066669 0.0036078913 0.0042194244 0.0035026486 0.0033023804 0.0034280587 0.004723671 0.0035997173 0.0036814592 0.0030280335 0.0033851443 0.0062098443 0.0032686617 0.0036661327 0.0038623137 0.0031741473 0.0034127322 0.0032160403 0.0033749265 0.0033258812 0.0032620202 0.0034352113 0.0033616433 0.0042465013 0.004020689 0.0032799013 0.003723352 0.0035956302 0.003646208 0.0034484942 0.004079441 0.004886133 0.003385655 0.003285521 0.003523595 0.0035149097 0.0034811911 0.0031373636 0.0034020036 0.006421352 0.003738168 0.0033866768 0.004183662 0.0064724404 0.003701384 0.0036758394 0.004012004 0.0054266527 0.0038163336 0.003386166 0.003459734 0.0042730677 0.003710069 0.0053403126 0.004147389 0.005230983 0.0038260405 0.0039675566 0.0055559077 0.006227725 0.0063641323 0.0061122645 0.015470201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011728975 2.2752372e-05 2.1729795e-05 8.180628e-06 0.00012322071 1.5594323e-05 1.5083034e-05 3.809105e-05 3.425638e-05 5.1128927e-06 1.0225785e-05 5.8798264e-06 5.8798264e-06 9.714496e-06 1.1504008e-05 7.055792e-05 0.004848045 9.9445766e-05 0.0001025135 2.9654777e-05 0.00066339783 7.643775e-05 0.0001689811 7.924984e-05 9.382158e-05 0.00013472472 0.00010532559 4.857248e-05 4.5504745e-05 6.314422e-05 7.311437e-05 0.00069790985 0.004147323 9.382158e-05 0.0002822317 7.84829e-05 0.0005498916 0.00010864897 0.0006976542 0.00045172407 7.337001e-05 5.4196662e-05 4.8316837e-05 6.825712e-05 5.3685373e-05 4.7294256e-05 4.013621e-05 0.00053480855 0.00352355 0.00012961183 0.00039215886 0.0002663817 0.0010949259 0.0004026403 0.002346562 0.0012986747 8.231757e-05 4.576039e-05 4.1158786e-05 3.6557183e-05 4.192572e-05 5.291844e-05 4.8828126e-05 0.00014367228 0.0014303317 0.00012015298 0.0001648908 0.00012219814 0.00042232493 0.00018917702 0.000878395 0.00048189014 4.703861e-05 2.3008017e-05 2.6075753e-05 2.1729795e-05 5.9309554e-05 5.8286976e-05 7.081356e-05 7.285872e-05 0.0010069843 5.240715e-05 8.666353e-05 4.1158786e-05 0.00022829066 9.458851e-05 0.0004026403 0.00020400442 8.027242e-05 3.4512024e-05 3.3233802e-05 3.425638e-05 0.00013779246 4.9339415e-05 5.470795e-05 7.6949036e-05 0.0040972168 0.0003609702 0.0002594793 0.00031930016 0.0018350172 0.00103306 0.0006736236 0.0004593934 0.0023629235 0.00017000368 0.00021320762 0.00016872546 0.0013960754 0.000266893 0.00091495214 0.0016995255 0.013098464 0.0021175046 0.0009374489 0.0015356573 0.006443267 0.0052258875 0.0017046384 0.002614222 0.010750112 0.0006117576 0.0008403039 0.0009479303 0.006121922 0.0012851256 0.004858782 0.007922683 0.008777814 0.0021090682 0.0012163571 0.0017634367 0.003696877 0.003646515 0.0013089005 0.0027238936 0.006823922 0.00044584423 0.0005872157 0.00081320555 0.0035365878 0.0014070681 0.0034964515 0.0058143814 0.053767946 0.049623948 0.04800214 0.051409367 0.047995236 0.04912774 0.05033055 0.05498686 0.04990209 0.04934427 0.04914768 0.053411067 0.05114222 0.053401608 0.054672416 0.06933696 9160.0 7.460262 68336.0 0.014736011 0.006409506 0.005882697 0.006775345 0.007828963 0.0068777804 0.005999766 0.008165535 0.006994849 0.007097284 0.0067460784 0.0070387498 0.0071850857 0.007302154 0.009819129 0.00785823 0.005824163 0.0070094825 0.007170452 0.007170452 0.0069070477 0.006994849 0.0076387264 0.006760712 0.0073606884 0.006863147 0.0074192225 0.007550925 0.006863147 0.0080631 0.008150902 0.014165301 0.01972606 0.011238586 0.0070387498 0.009336221 0.0073167877 0.008692344 0.008619176 0.008121634 0.006819246 0.009482557 0.0076387264 0.0077118943 0.0072875204 0.00908745 0.008897214 0.007843596 0.008575276 0.008355771 0.008824046 0.01027277 0.00929232 0.009219153 0.013375088 0.008867946 0.0077996957 0.009994732 0.008414306 0.008560642 0.0072289864 0.00847284 0.009526458 0.013243386 0.009394756 0.021482088 0.010580075 0.018511472 0.016067665 0.03266214 0.01145809 0.010741044 0.0095410915 0.021174783 0.009219153 0.010023999 0.016813979 0.0127019435 0.020165067 0.025330719 0.011311754 0.008780145 0.024262467 0.019023648 0.023955163 0.014399438 0.011033716 0.008209435 0.010331304 0.013155584 0.008941115 0.008385039 0.008897214 0.009584992 0.011165418 0.013184851 6.456023 0.0 0.0 0.0 28.0 1957376.0 1974272.0 1.0 0.0 130.0 0.0 1.0 0.0 1.0 0.0 1545694800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 246784.0 1024.0 4096.0 5.0 0.0 0.0 3.0 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 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 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 -219136.0 0.0 1635840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.683403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8249288 0.0 0.0 0.0 0.0 0.0 0.0 -4.6062284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5080447 0.0 7.981856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27638.0 0.0 0.0 0.0 0.0 0.0 0.0 -15580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -219102.0 0.0 1635504.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 313216.0 1635504.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 285520.0 0.0 0.0 0.0 0.0 24.0 285712.0 64.0 285552.0 0.0 0.0 528.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.056719664 0.008301778 0.00617426 0.0056550745 0.005760777 0.004963864 0.0041938955 0.005422944 0.0050509134 0.0056239855 0.003743106 0.0044622966 0.0049431385 0.003175215 0.004322396 0.0046405396 0.005039514 0.0037576142 0.0049358844 0.004160734 0.004352449 0.0031814328 0.00410581 0.003840518 0.0050747483 0.0033368776 0.003167961 0.0029316852 0.0041524433 0.003446725 0.0037855941 0.0037959572 0.006164933 0.0038146107 0.0034902494 0.0030197704 0.004886142 0.0041638426 0.0038394816 0.0037244526 0.004723443 0.0038902604 0.0033296235 0.003094384 0.0043638484 0.0037161624 0.0037244526 0.0035814436 0.005513102 0.0039565833 0.0030974927 0.0029005962 0.0036757467 0.0030684764 0.002690228 0.0028622532 0.004176278 0.0033161514 0.003519266 0.0033482767 0.0040032165 0.0032228848 0.0035078665 0.003464342 0.0066022505 0.0039576194 0.0036197866 0.0032177032 0.004151407 0.0032177032 0.0035441369 0.0030653675 0.0050063524 0.0037731586 0.0037068357 0.0035845526 0.0041327537 0.003126509 0.0035565726 0.0034705598 0.0051731966 0.003628077 0.0036529482 0.0033327322 0.0039254944 0.0033824746 0.0033669302 0.0035368828 0.004638467 0.0036467304 0.003805284 0.0035109755 0.0041078827 0.0033897287 0.003697509 0.0037876668 0.00591104 0.003631186 0.0033430953 0.0029575927 0.004008398 0.0030508593 0.0032560462 0.0030280608 0.004971118 0.0031700337 0.0032042314 0.0030591497 0.0035804072 0.0028394547 0.0030933477 0.0031907596 0.0045006396 0.00328299 0.0032280663 0.0031441262 0.0038871514 0.0033410226 0.0032943892 0.0036260043 0.004628104 0.0032974982 0.0034736688 0.003167961 0.004036378 0.0031969773 0.0034684872 0.00333895 0.008655155 0.004597015 0.0040249787 0.003530665 0.0043752473 0.003436362 0.0030208067 0.003387656 0.004537946 0.0038280825 0.00295552 0.003191796 0.0037317066 0.0028062933 0.002850854 0.002976246 0.0052426285 0.0032073404 0.0034933584 0.003024952 0.0036633112 0.0031845418 0.003300607 0.0032633003 0.0045462362 0.0028394547 0.003045678 0.0027068087 0.0035109755 0.0032322113 0.0029855727 0.0031596706 0.005002207 0.0034052732 0.003279881 0.0027938576 0.0037731586 0.003024952 0.003056041 0.0031803965 0.004137935 0.0029969718 0.0031275454 0.0030166616 0.0036425851 0.0028384184 0.002909923 0.0030384238 0.004670592 0.003122364 0.0038446633 0.002850854 0.0035669354 0.0031565616 0.0029948994 0.003125473 0.0042477828 0.0031420535 0.0033327322 0.0031741788 0.0036529482 0.003188687 0.0033202968 0.0033544945 0.006719352 0.004059177 0.003725489 0.0033368776 0.004113064 0.0032508648 0.0033016433 0.003237393 0.004337941 0.0033285872 0.0031140735 0.0030778032 0.0036446578 0.002986609 0.0030767669 0.002809402 0.004244674 0.0032705544 0.003088166 0.0029969718 0.0037161624 0.0030197704 0.0029430846 0.0029575927 0.0039742 0.0031078558 0.002728571 0.0026332315 0.003530665 0.0029461933 0.003589734 0.0028829793 0.004947284 0.0032405017 0.0033897287 0.0029772823 0.0038135743 0.0030695128 0.0031949047 0.0028985236 0.004440534 0.005458178 0.0034726325 0.0031410172 0.0037824854 0.0030726215 0.0032405017 0.003188687 0.0046125595 0.0033265145 0.0034166723 0.003032206 0.0037410334 0.003088166 0.0033130427 0.0032498285 0.0043503763 0.0030353148 0.0031814328 0.0028570718 0.004011507 0.0030933477 0.0042187665 0.0045182565 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 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 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 0.099199966 0.062028844 0.06241594 0.055323668 0.06061381 0.059558377 0.05495992 0.05446697 0.06048928 0.053177513 0.052120004 0.052954387 0.056426838 0.050556567 0.056627654 0.053819906 4025.0 5.7036023 22957.0 0.01711896 0.010497888 0.009408895 0.00858126 0.013416387 0.012458074 0.011761119 0.0115433205 0.012632312 0.009800932 0.0084941415 0.00862482 0.013851984 0.010585006 0.011848238 0.009888052 0.016726924 0.011891798 0.00866838 0.007535828 0.009844492 0.0084941415 0.007840746 0.008319902 0.010236529 0.008407022 0.009583133 0.008842619 0.011586879 0.009060417 0.009800932 0.009234656 0.018120835 0.010933484 0.010367208 0.009103977 0.010802805 0.008842619 0.010715686 0.008276342 0.014287581 0.011586879 0.009800932 0.008973298 0.011412641 0.009365335 0.011630439 0.009583133 0.014766738 0.009583133 0.009931611 0.009060417 0.012109596 0.009408895 0.009583133 0.009800932 0.013634185 0.009191097 0.010541447 0.009496015 0.011151283 0.009800932 0.010367208 0.010672126 0.017903036 0.010977044 0.009713813 0.008232783 0.013111469 0.008232783 0.009365335 0.008319902 0.015420133 0.009321775 0.008886179 0.00866838 0.011325521 0.007971425 0.009888052 0.007927865 0.013155029 0.007927865 0.00871194 0.0087554995 0.011499761 0.009583133 0.008363462 0.007927865 0.011107723 0.008799059 0.011935357 0.0084941415 0.011194843 0.0090168575 0.010018731 0.0087554995 6.5546536 0.0 0.0 0.0 14.0 964974.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05679323 0.008312546 0.006176042 0.0056541082 0.005753722 0.0049682274 0.004196222 0.005420639 0.005048126 0.0056333556 0.0037458858 0.004466009 0.0049526626 0.003178296 0.0043311156 0.004639295 0.0050419 0.0037614503 0.0049298345 0.004155754 0.004361207 0.0031772582 0.0041142483 0.0038506875 0.0050875563 0.003340168 0.0031616937 0.0029251114 0.004149528 0.0034397815 0.0037822032 0.0037936172 0.006172929 0.0038195583 0.0034864754 0.0030236873 0.0048924796 0.0041609425 0.0038361605 0.00372202 0.0047274944 0.0038973815 0.003337055 0.003091134 0.0043726214 0.0037126811 0.0037261706 0.0035943901 0.0055171396 0.0039544515 0.003102548 0.0028929445 0.0036753262 0.0030724565 0.0026864538 0.0028597398 0.0041754693 0.003319415 0.0035269435 0.0033536572 0.003993882 0.0032239521 0.0035061906 0.0034501578 0.0066004377 0.00395964 0.0036172182 0.0032281026 0.0041505657 0.0032166885 0.0035445832 0.0030662306 0.0050003943 0.003780128 0.0037095684 0.0035850513 0.0041308505 0.0031264138 0.0035549598 0.0034615719 0.005166417 0.00362967 0.0036545733 0.0033360173 0.0039253975 0.003380636 0.003359883 0.0035404328 0.0046475963 0.0036462722 0.0038039936 0.0035113788 0.004110098 0.0033858242 0.0036877778 0.0037863539 0.005913519 0.003626557 0.003340168 0.0029541652 0.004013597 0.0030548165 0.0032664954 0.0030309507 0.0049713403 0.00317207 0.0032052745 0.0030548165 0.003582976 0.0028410624 0.003091134 0.003186597 0.004517891 0.0032768718 0.003218764 0.003143016 0.0038921933 0.0033318668 0.0032841354 0.00362967 0.004621655 0.003290361 0.0034750614 0.0031658441 0.004036425 0.0031938604 0.0034667603 0.0033412057 0.008652892 0.0045946767 0.004013597 0.0035290187 0.004376772 0.0034377063 0.0030174614 0.0033899748 0.004537606 0.003823709 0.0029541652 0.00318971 0.0037240952 0.002801632 0.0028400247 0.002984257 0.0052400893 0.0032021615 0.0034927013 0.0030330261 0.0036639122 0.003183484 0.0033121516 0.0032644202 0.004546945 0.0028379494 0.0030413272 0.0026989055 0.0035144917 0.0032281026 0.0029904828 0.0031502796 0.005009733 0.0034024264 0.0032716836 0.002793331 0.0037728644 0.0030153862 0.0030537788 0.0031876347 0.0041350015 0.0029915203 0.003117075 0.0030143484 0.0036421216 0.0028358742 0.0029126597 0.0030382143 0.0046735373 0.0031222631 0.0038413487 0.0028555894 0.0035611857 0.0031471667 0.0029977462 0.0031181127 0.0042532925 0.0031419785 0.003333942 0.0031741452 0.0036493852 0.0031793334 0.003319415 0.0033536572 0.0067270296 0.004060291 0.0037261706 0.0033297916 0.004113211 0.0032592318 0.0033069635 0.0032281026 0.004335266 0.0033246032 0.0031118868 0.0030724565 0.0036431593 0.002992558 0.0030724565 0.0027943684 0.004249142 0.0032706459 0.0030869835 0.0030008592 0.0037116436 0.0030112355 0.0029323748 0.0029334126 0.0039752047 0.003110849 0.0027331477 0.00263976 0.003534207 0.0029500148 0.003579863 0.0028815304 0.0049474747 0.0032374414 0.003388937 0.0029852944 0.0038185206 0.0030714187 0.003198011 0.0029012456 0.004447331 0.005459032 0.0034740237 0.003134715 0.0037811655 0.0030662306 0.0032364037 0.0031855593 0.004613354 0.003316302 0.0034273297 0.0030434025 0.0037417351 0.0030849082 0.0033059258 0.0032384791 0.0043549812 0.003021612 0.0031876347 0.0028576646 0.0040187854 0.0031015105 0.004226314 0.004524117 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.099255115 0.062023666 0.06245273 0.055317592 0.06060661 0.059559923 0.054964885 0.054453228 0.06045701 0.053168114 0.05210013 0.052932285 0.056404278 0.050523605 0.056635432 0.053826254 4020.0 5.704478 22932.0 0.017137624 0.010509332 0.009331938 0.008721437 0.013474621 0.012428048 0.01177394 0.011512297 0.01255887 0.009724403 0.008459794 0.008590615 0.013910692 0.010509332 0.0118175475 0.009942438 0.016788768 0.011904762 0.008721437 0.007500436 0.0098116165 0.008459794 0.007849294 0.00837258 0.010291296 0.008416187 0.0095499735 0.008852259 0.011512297 0.00898308 0.009637188 0.009244723 0.018009769 0.010901797 0.010378511 0.009070295 0.010901797 0.008895866 0.010727368 0.008328972 0.01425955 0.011599512 0.00976801 0.00898308 0.01146869 0.009375545 0.011643119 0.009593581 0.014782837 0.009637188 0.009986046 0.009070295 0.012166405 0.009375545 0.009593581 0.00976801 0.0136926565 0.009244723 0.010509332 0.009593581 0.011119832 0.009855224 0.010378511 0.010727368 0.017922554 0.011032619 0.0096807955 0.008198151 0.013125763 0.008241759 0.009375545 0.008328972 0.015436944 0.009288331 0.008895866 0.00867783 0.011337869 0.007936508 0.009942438 0.007849294 0.013256584 0.007936508 0.00867783 0.008765045 0.01146869 0.00946276 0.008198151 0.007936508 0.010945404 0.008852259 0.011904762 0.008547009 0.011294262 0.009026688 0.009986046 0.008765045 6.5545297 0.0 0.0 0.0 14.0 963724.0 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