Input: 0.17733243 0.0045247893 0.002951273 0.004018644 0.0059181773 0.0010949111 0.0021607934 0.0026892684 0.009994879 0.0005828113 0.004631973 0.0019181414 0.0038109757 0.0010442967 0.0018146794 0.0023342227 0.012084961 0.00586533 0.0037804581 0.00084928185 0.0015586294 0.011741824 0.0012817383 0.00041608114 0.001573516 0.0003699326 0.00024488496 0.00035430165 0.0018943228 0.00055899273 0.0002865675 0.00035727897 0.1727362 0.00026200459 0.00058132265 0.0011202184 0.0025136063 0.0011544577 0.00054857205 0.00022553235 0.0019471704 0.00022850967 0.00060737424 0.0001622642 0.0013420291 0.0004086378 0.0005128442 0.0007160466 0.0015869141 0.00059248763 0.0005046565 0.0011432926 0.0019806651 0.0005396401 0.0004510647 0.00022106635 0.0016018007 0.00046222965 0.0008195086 0.0008976634 0.0010003811 0.00087086746 0.00055080507 0.00034834698 0.016530106 0.009333168 0.0016159429 0.0009475336 0.0030167743 0.011480564 0.00051507715 0.0008507705 0.0016345512 0.0008946861 0.0021436738 0.001249732 0.0018965559 0.01090073 0.0005344298 0.0005567597 0.019240217 0.009035436 0.009216309 0.0032638921 0.0037149568 0.0066066836 0.00390625 0.0018042588 0.0009438119 0.00023297565 0.00024190763 0.00056941336 0.00062895985 0.0020082055 0.00066989806 0.0009988925 0.0013450064 0.0032586819 0.0012876929 0.0013159775 0.0029795577 0.0031068383 0.002004484 0.0005872773 0.010198082 0.0025999488 0.0065441597 0.00057760096 0.0026624727 0.0012236804 0.0016613472 0.00252626 0.0019382384 0.00016896318 0.0022471359 0.0016866544 0.0032080673 0.002133253 0.00048381527 0.0010130347 0.003720167 0.00027837986 0.00068106304 0.00020171374 0.0017923495 0.0049326825 0.00017566216 0.00048158228 0.0033814965 0.0008128096 0.0001838498 0.005877239 0.0019121867 0.012603016 0.0007450755 0.0002582829 0.0020796612 0.015785776 0.0006862733 0.027279738 0.0018556176 0.025544701 0.00040045017 0.00037812022 0.005611513 0.0014559118 0.0018221227 0.00024041897 0.0013680807 0.0043930425 0.0006996713 0.00019054877 0.0015028047 0.00033494903 0.00018310547 0.00016821884 0.0009780512 0.0006572444 0.00018906011 0.00022404369 0.0019263291 0.00091180566 0.00036621094 0.00024935094 0.0031247023 0.0005716463 0.0008425829 0.00018608279 0.0014425138 0.00016300853 0.00044436572 0.00026200459 0.001238567 0.00017045184 0.00017863949 0.00019352611 0.0021555831 0.00048009361 0.00042575743 0.0003200624 0.0009460449 0.0007837807 0.00022999833 0.00030145413 0.0021741914 0.0014640994 0.00034685832 0.00024190763 0.0017186607 0.0019322837 0.00021213439 0.0005426174 0.006617104 0.00062970415 0.0008276963 0.0013308642 0.0039576087 0.00018757145 0.00056271435 0.00507485 0.001737269 0.00030964176 0.00023074266 0.00021213439 0.0020856159 0.00020394674 0.00040714914 0.0002746582 0.0031135373 0.00021660037 0.00041905846 0.0015370438 0.0027294625 0.00020245808 0.0017677866 0.0028463225 0.0033040862 0.00029177783 0.0003081531 0.004532977 0.0030018876 0.0001838498 0.00020245808 0.00047413897 0.003144055 0.0003840749 0.004166766 0.00042947909 0.0022798863 0.0007726158 0.00084481586 0.000346114 0.0040216213 0.00095646555 0.00027391387 0.0018228671 0.004422816 0.0003059201 0.00033048305 0.000346114 0.002115389 0.00027391387 0.00044287706 0.0004845596 0.0010852348 0.00036397795 0.00033271604 0.0009854945 0.0025203053 0.00057760096 0.000692228 0.0012221918 0.0037224002 0.0019888529 0.00929223 0.08803726 0.006005375 0.0 0.14272338 3.3520453e-06 7.4489895e-07 3.7244948e-07 5.2142927e-06 2.9795958e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007355877 1.1173483e-06 0.0007326081 4.4693934e-06 1.1545933e-05 1.1173483e-06 3.3520453e-06 2.2346967e-06 1.1173483e-06 3.7244948e-07 1.4897979e-06 0.0 8.566338e-06 8.193888e-06 6.331641e-06 7.4489894e-06 0.0007024397 7.4489895e-07 0.0034522342 7.560724e-05 1.4525529e-05 5.2142927e-06 0.00014711753 7.821439e-05 1.8622474e-06 0.0 7.4489895e-07 1.1173483e-06 1.4897979e-06 1.1173483e-06 3.7244947e-06 9.050522e-05 0.0063156257 5.8102116e-05 0.003292081 0.00013221956 0.00050392415 3.46378e-05 0.0001716992 0.000108755245 3.3520453e-05 2.1974518e-05 2.5699013e-05 1.9367371e-05 6.1454164e-05 4.841843e-05 0.00017877575 0.00043539342 0.011704597 5.2142925e-05 0.004431031 0.0003229137 0.001322568 7.3744995e-05 0.00044321487 0.00031285756 0.00012626036 7.560724e-05 6.406131e-05 2.793371e-05 5.9591915e-05 9.199502e-05 0.0003832505 0.0011031954 0.005069782 6.592355e-05 0.0012387669 9.422971e-05 0.00059144973 2.5326564e-05 9.460216e-05 0.00010652055 0.0001031685 2.122962e-05 5.4005173e-05 7.597969e-05 4.5066387e-05 7.7469485e-05 0.00020335741 0.00052366394 0.0067033456 0.00020298496 0.000656256 0.0001769135 0.00014488284 0.0001001889 0.00031509224 0.00030205652 0.00034898514 4.9908227e-05 5.2142927e-06 6.4806205e-05 0.00011843893 6.331641e-06 7.970419e-05 0.001403762 0.016913675 0.00037580152 0.0007363326 0.0003080157 0.0016045123 0.00042161279 0.0025270695 0.0012294557 0.0005925671 0.00015642878 0.00014413794 0.0002689085 0.00020410231 0.00012923997 0.00029311774 0.0015549766 0.02644354 0.0013762008 0.0036716068 0.0006048579 0.0022626305 0.000980287 0.0036555915 0.0023684062 0.0015844001 0.00059591915 0.00035308208 0.00052887824 0.0008175266 0.00036276577 0.0006625876 0.00407497 0.020597573 0.001742691 0.004162495 0.0007530928 0.0028466312 0.0012078537 0.0036939539 0.0019136453 0.00090318994 0.0008976032 0.0005091384 0.0005955467 0.0007504857 0.0006376335 0.0009069145 0.0036481426 0.015525184 0.0015147519 0.0022723142 0.00069983257 0.0018253748 0.0009970472 0.0034708565 0.0016790022 0.0008499297 0.0004979649 0.00034526066 0.0005091384 0.0004804598 0.00044470467 0.00062385283 0.0018264921 0.0149367135 0.0017791911 0.00484892 0.0013918437 0.0024347021 0.0018562882 0.00502844 0.0023870287 0.0019624361 0.0008473225 0.00066854677 0.00085402664 0.0008015112 0.0011113893 0.0012789915 0.0051047923 0.018770335 0.005813191 0.0044798222 0.0016354256 0.006699621 0.008508608 0.0040384694 0.0032146114 0.020405017 0.0034459024 0.0017400839 0.0027516566 0.003627658 0.0030749429 0.0027903914 0.031811282 0.035423297 0.014065927 0.0034898515 0.0025285594 0.01878449 0.02044189 0.008068 0.0045289854 0.034481745 0.0062310793 0.0035617342 0.004120036 0.007983827 0.0070787747 0.006883611 0.035142843 0.0400372 0.0160157 0.004493603 0.0044977 0.024877017 0.028293496 0.0118200565 0.0065931003 0.038224116 0.0069662947 0.004571445 0.004224322 0.009399507 0.011824526 0.0103041865 0.027285649 0.00044023528 0.00017132676 0.00051993947 0.00035121985 0.00021751049 0.00017579614 0.00041677096 0.00032738308 0.00023985746 0.00022272478 0.00022942887 0.00024246461 0.0003042912 0.00025177584 0.00026704627 0.00019888801 5331.0 50.934345 271531.0 0.84461445 0.000114167444 0.0017567055 0.0021654987 0.00027252873 9.575334e-05 0.0002835772 0.00014731284 0.0006886875 0.00020992078 8.83877e-05 7.365642e-05 0.0005634716 0.0007586611 0.0012558419 0.0023791022 0.0013663265 0.0015836129 0.0009796303 0.0009943616 0.0012705731 0.0006665906 0.00091702235 0.00023570053 0.00052664336 0.0006886875 0.0028873314 5.524231e-05 0.0013589609 0.00089124264 0.0013405468 0.00037933054 0.00020255514 0.0013074013 0.00050454645 0.0022870316 0.002938891 0.00058925134 0.00080653775 0.0007991721 0.00019887232 0.001108529 8.470488e-05 0.00015836129 0.00084704877 0.0023938336 0.00054874027 0.0008139034 0.0015025908 0.000121533085 0.0009906788 0.0023938336 0.0017640712 0.00032408824 0.00080653775 0.00030567413 0.00032777103 0.00041984156 0.00031303975 8.102206e-05 0.00023570053 9.575334e-05 0.00028726002 0.0016609521 0.00030935695 0.0100209555 0.0031856399 0.0036607238 0.0038301335 0.008054329 0.0030677896 0.0013037185 0.0028615517 0.0066659055 0.0022649348 0.0008396831 0.004728742 0.004051103 0.0047545214 0.0072625224 0.0029278425 0.0001252159 0.006603298 0.003918521 0.007255157 0.0017235602 0.0011343088 0.002589023 0.0025521948 0.0004640354 0.0013736922 0.00043457284 0.00080285495 0.002113939 0.00011048462 0.00018045821 1.5205054 9.0 57.0 0.0 1.0 1343488.0 1363968.0 0.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 1537171100.0 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 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 1331200.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1331200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.568451 0.0 4.231035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1330012.0 0.0 3152.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -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 -1.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1331476.0 3152.0 1359872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 664.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19486175 0.008841829 0.004427975 0.004287139 0.0045305365 0.00241205 0.002626091 0.002613085 0.0066226395 0.0019100195 0.0019765357 0.0022444588 0.004398247 0.0020304176 0.0022708422 0.0026141999 0.008352805 0.0036149162 0.0049868603 0.0014518378 0.0028319568 0.00881396 0.00167777 0.0013619108 0.0024436358 0.004336562 0.0016305769 0.0013960979 0.0031723417 0.0014522094 0.0012887057 0.001866914 0.0036260642 0.0014180222 0.0018713732 0.0015454808 0.0032927399 0.0014157926 0.0015506832 0.002067206 0.0028787784 0.0015614595 0.0011749965 0.0012184735 0.002152302 0.0013466752 0.0015324748 0.001287591 0.002839389 0.0014529526 0.0013362705 0.0024417778 0.002378606 0.0017981682 0.0013336693 0.0013633972 0.0025242728 0.0014046447 0.0012589778 0.0018591104 0.0015373055 0.0015250428 0.0012942797 0.0015599731 0.012268345 0.005989063 0.0054220026 0.0027119303 0.0026290638 0.006867895 0.0015558855 0.0015874715 0.0024436358 0.0025881878 0.0013838351 0.0016770269 0.0028405038 0.005345825 0.0015603447 0.0012664098 0.016446978 0.008331624 0.008725891 0.0020705503 0.0029044189 0.0037947702 0.0032262236 0.0031381545 0.002967219 0.0013046846 0.0014261975 0.0016658789 0.005474027 0.0016844588 0.0015038616 0.001698208 0.002606768 0.0029438082 0.0021783141 0.0018111741 0.0034941465 0.0022797605 0.0022370268 0.0028211805 0.0095657045 0.0020434235 0.0065289964 0.0019434635 0.003668055 0.001701924 0.0016840872 0.0019245119 0.0032518639 0.0014068743 0.002093961 0.0019572126 0.0036773449 0.0024774515 0.001520212 0.0017286792 0.0029137088 0.0013340409 0.0012370535 0.0014455206 0.0019304574 0.0042726467 0.0013526208 0.0017814462 0.003596708 0.0016721961 0.0013953547 0.0038809814 0.0024978893 0.012357529 0.0014016719 0.0014343726 0.0038664888 0.011220064 0.0011512141 0.01871782 0.001925255 0.02650022 0.0013292101 0.0014425478 0.0039556725 0.0021972656 0.0016145982 0.0014366022 0.0017149299 0.007110549 0.0012062108 0.0011723952 0.0026840605 0.0013685996 0.0014444058 0.0012983674 0.0021337222 0.0018851224 0.0013340409 0.0013292101 0.0027962835 0.0020805835 0.0013567084 0.0014016719 0.0021515589 0.0018977567 0.001371944 0.0012515459 0.0021207163 0.0012500595 0.0012645518 0.0011627336 0.0022504043 0.0011709088 0.0012158724 0.0012322227 0.0024558986 0.0013812339 0.0012247907 0.00139424 0.0026673386 0.0024205968 0.0017193891 0.004083131 0.0027970267 0.00184276 0.0018453612 0.0013251224 0.002030046 0.0019248835 0.0013444456 0.0013425876 0.0061982735 0.0013266088 0.0013697144 0.0015659187 0.0039657056 0.0012664098 0.0013868079 0.0033889841 0.0020534568 0.0013347841 0.0010297012 0.0011133109 0.002725308 0.0011932048 0.0012002651 0.0014191371 0.0036721425 0.0013102585 0.0011144258 0.0035086388 0.0024347175 0.0010627735 0.003208387 0.0032210213 0.0020055205 0.001298739 0.0012678963 0.004163768 0.001960557 0.00134779 0.002683689 0.0018981283 0.0027821627 0.0018531649 0.004734916 0.0012771862 0.002117372 0.0013474184 0.001285733 0.0012961377 0.0021679094 0.001345932 0.0012370535 0.0013310681 0.003494518 0.0017435431 0.0010475379 0.0013098869 0.0024109352 0.0011954344 0.0019471794 0.0010843263 0.0018535365 0.0013507628 0.0012682679 0.0014901125 0.003388241 0.0021002782 0.0019089048 0.0018814064 0.0048515983 0.0053889304 0.008147682 0.10910633 0.005320537 0.0 7.4348117e-07 1.8587029e-07 7.4348117e-07 5.5761086e-07 2.2304434e-06 1.1152217e-06 0.0 0.0 3.7174058e-07 9.293515e-07 3.7174058e-07 0.0 0.0 1.4869623e-06 0.0018222723 8.735904e-06 4.8326274e-06 3.717406e-06 1.4869623e-06 5.5761086e-07 3.903276e-06 5.761979e-06 2.2304434e-06 3.7174058e-07 1.2267439e-05 2.7880544e-06 2.4163137e-06 3.7174058e-07 7.4348117e-07 3.085447e-05 0.0013787858 2.7880544e-06 8.550033e-06 2.0445732e-06 9.293515e-07 7.4348117e-07 4.8326274e-06 3.717406e-06 4.0891464e-06 9.293515e-07 2.7880544e-05 3.717406e-06 5.0184976e-06 4.0891464e-06 2.4163137e-06 7.211767e-05 0.00653111 2.0631602e-05 0.00017899308 1.8772898e-05 0.0002626347 1.0222866e-05 2.9181636e-05 6.635569e-05 1.2267439e-05 1.5427235e-05 3.401426e-05 6.170894e-05 3.5501223e-05 3.159795e-05 0.000107990636 0.00019683664 0.0069087986 6.3010026e-05 0.0002382857 6.00361e-05 0.0002591032 0.00055091956 2.7508802e-05 5.780566e-05 4.1263203e-05 3.0110987e-05 6.412525e-05 4.014798e-05 2.9739247e-05 7.769378e-05 8.3269886e-05 0.0002234161 0.007840195 0.00012100156 0.00024497704 0.00016988545 0.00022304435 0.00013624292 0.00010408736 6.50546e-05 0.00011096456 8.56862e-05 0.00016059192 4.1077335e-05 0.0001113363 0.0001163548 6.7470915e-05 0.0006799135 0.009068797 0.00018233876 0.00025687274 0.00021449431 0.001470234 0.00014962559 0.00017193002 0.00014274838 0.00012062982 8.457098e-05 0.00018066593 5.6504567e-05 0.00014088968 0.00012062982 0.0001388451 0.0012040677 0.009988111 0.00015520169 0.00025185425 0.00041356139 0.0034828375 0.000577499 0.0004735975 0.00031486427 0.00019925294 0.00018345397 0.00047136706 9.4793846e-05 0.0002557575 0.00019869534 0.00072861154 0.0039082947 0.018810632 0.0004799171 0.0018776617 0.0009163405 0.0024869444 0.001619302 0.0027330366 0.0012577842 0.00029627723 0.0003059425 0.00020650189 0.00023308134 0.00033995675 0.00047489858 0.0011202402 0.001481758 0.015061813 0.00070593535 0.0011053706 0.0007732204 0.0014191197 0.0010090898 0.0014707916 0.0009499831 0.0004810323 0.0003773167 0.00030631424 0.00039311565 0.00046318877 0.00061448716 0.0006854896 0.0019720837 0.015171477 0.00088306976 0.0009585331 0.0008936644 0.0011062999 0.0011100174 0.0015354744 0.0011496077 0.0006330742 0.00065482105 0.0006501743 0.0009531428 0.000709281 0.0007678302 0.00066913303 0.0037493755 0.03048217 0.0025681697 0.0018934606 0.0019432738 0.0021557235 0.0029581257 0.0032640682 0.0025685416 0.002264272 0.0017276644 0.0018607475 0.0029075688 0.0019059139 0.0019319358 0.0017137241 0.01056115 0.039029974 0.0071773813 0.0030826589 0.0032941792 0.00621606 0.010456133 0.0073015424 0.004383379 0.01584916 0.005048423 0.0033640664 0.005564213 0.0038382215 0.0043175807 0.003623913 0.03200203 0.054014836 0.01990522 0.006306393 0.0053075263 0.020321384 0.030082734 0.016230194 0.009537005 0.052074164 0.011483252 0.00540232 0.007892424 0.009681798 0.012497919 0.0074480083 0.073649615 0.008667132 0.004642668 0.0009089057 0.00085444574 0.0057593766 0.0059448755 0.0031202044 0.001352764 0.008677912 0.0017759906 0.0013847337 0.0015601952 0.0021447572 0.002632295 0.001600715 0.006833707 0.018321235 0.013778378 0.012626355 0.013052183 0.012990103 0.011780087 0.012972631 0.012534721 0.013658492 0.012123018 0.011858896 0.012001273 0.0128849 0.012385281 0.012391601 0.012863154 6689.0 8.243384 55140.0 0.012368516 0.0053681536 0.015052593 0.008088502 0.007961553 0.004352557 0.0061661224 0.0052230684 0.005241204 0.0028654335 0.0040623867 0.0038991657 0.0028654335 0.008850199 0.013093943 0.0036452666 0.012821908 0.007145448 0.009956474 0.0117337685 0.0052774753 0.014599202 0.004824084 0.006184258 0.0075262967 0.008922742 0.004588321 0.004044251 0.003627131 0.0040805223 0.0043344214 0.0043706927 0.021309394 0.01026478 0.0140732685 0.016884295 0.008161045 0.0076351105 0.008741385 0.0052774753 0.0067827348 0.0059666303 0.00484222 0.006021037 0.010826986 0.008451215 0.004987305 0.0056401887 0.014544795 0.004987305 0.005821545 0.010373594 0.009702575 0.0048059486 0.007943417 0.0048059486 0.03828437 0.004461371 0.004461371 0.005622053 0.005513239 0.005241204 0.004352557 0.018897353 0.008541893 0.03636199 0.0171926 0.009738847 0.013601741 0.030123323 0.009811389 0.009085963 0.020964816 0.02357635 0.027820094 0.017500907 0.030449765 0.015143272 0.01468988 0.016031919 0.014290896 0.004243743 0.023177367 0.015796155 0.03309757 0.01039173 0.013674283 0.016811753 0.012894451 0.007997824 0.0063474793 0.003409503 0.005513239 0.005422561 0.0030649255 0.004406964 6.2661705 5.0 0.0 0.0 8.0 2691072.0 2719744.0 0.0 0.0 139.0 0.0 1.0 0.0 0.0 0.0 1507609200.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 2555904.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2555904.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.411648 0.0 7.16974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2553884.0 0.0 124056.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2554852.0 124056.0 2592768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 720.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.5070803 0.00695921 0.002940464 0.0031658772 0.00557477 0.0018218092 0.0021161921 0.001370983 0.0051895487 0.0014769607 0.0015038757 0.001004266 0.0032331648 0.0012044463 0.00070988317 0.0023601092 0.006245963 0.0010109948 0.0010883755 0.0006997901 0.0013322926 0.002447583 0.00041381817 0.00034989504 0.0012094929 0.0006409135 0.00037849223 0.0005080207 0.00093193195 0.00048447005 0.00051306724 0.00037008128 0.016106946 0.00049624534 0.00074184476 0.0008495048 0.0029488748 0.0010681892 0.00041550034 0.00079903915 0.0008797841 0.0004642838 0.0008831485 0.00063082034 0.0010345454 0.0011876245 0.0022356275 0.0021649755 0.0032853126 0.0021195565 0.0019345158 0.0038555742 0.0018890967 0.0072384533 0.0014921004 0.0012532298 0.0016552727 0.0017528395 0.0011489341 0.0023836598 0.0013962158 0.0016485439 0.0010059482 0.0013777117 0.0045688218 0.003093543 0.0011623916 0.0019748884 0.0041785543 0.006400724 0.001873957 0.0016754589 0.0013137886 0.0023634736 0.00045587285 0.0005719438 0.0019950746 0.0031776524 0.0019109652 0.0013373392 0.0067640767 0.0018453598 0.0018941433 0.0037613716 0.002609073 0.002555243 0.0029253243 0.0029303709 0.001397898 0.0013322926 0.0003145691 0.0008528691 0.00082258973 0.0014332238 0.0014584567 0.001424813 0.0007031544 0.009425297 0.0020674085 0.004355184 0.005702616 0.014402891 0.0036991306 0.0023298298 0.005608414 0.0098122 0.0022709533 0.0014029446 0.006400724 0.0043635946 0.0067102467 0.010301718 0.0043619126 0.00037344565 0.007822173 0.006049147 0.013761977 0.008426078 0.0024509474 0.0017175135 0.0015997605 0.0020135785 0.00033811972 0.00032129785 0.0011337944 0.0012448189 0.0005399822 0.00063586695 0.0020589978 0.0014483635 0.0005517576 0.0034383915 0.0009840798 0.004104538 0.00043736878 0.00030784035 0.0008814663 0.003756325 0.00033307314 0.01111085 0.0008814663 0.004770684 0.00018167627 0.00025737472 0.002466087 0.00031625127 0.000546711 0.0013491145 0.0045587285 0.0020926415 0.00023718846 0.00021363783 0.00073848036 0.0009672579 0.00021868439 0.0001766297 0.00060390536 0.0003431663 0.00021532002 0.0001766297 0.00087641977 0.00090669916 0.0002842897 0.00048615222 0.00064596004 0.000492881 0.00022541314 0.00018335845 0.0005854013 0.00022373095 0.00023718846 0.0002977472 0.00060558756 0.00016149001 0.00021195564 0.0001631722 0.00097230443 0.0002607391 0.00021363783 0.00015139689 0.00067792163 0.0007031544 0.0002607391 0.00032298002 0.0018133983 0.00026242126 0.00030615815 0.0002741966 0.0007132476 0.00045082628 0.00041718254 0.0006392313 0.0036520294 0.0006442779 0.0015375195 0.0018319023 0.0013053776 0.0003414841 0.0009420251 0.00206068 0.0010883755 0.0009672579 0.0002725144 0.00026410347 0.0026629032 0.00032970877 0.00052820693 0.0002725144 0.0008663266 0.00031120473 0.00032970877 0.00036167033 0.00063082034 0.00014635033 0.00066446414 0.00045250848 0.00093361415 0.00032466222 0.00023718846 0.00056353287 0.0008562335 0.00029270066 0.00032466222 0.0006442779 0.0009386607 0.00032970877 0.00020186252 0.00020859127 0.0009538004 0.00026410347 0.00031961565 0.0002170022 0.0059919525 0.0010564139 0.00026746784 0.0015526592 0.0026393523 0.00026915 0.00026242126 0.0007065188 0.0015055579 0.00065100665 0.00038353878 0.0004356866 0.0010076304 0.0003683991 0.00097566884 0.00084277603 0.002070773 0.00056353287 0.0002977472 0.0007637132 0.002402164 0.0011539807 0.0010059482 0.02759629 0.037965342 9.2765e-06 2.5299546e-06 8.433182e-07 5.059909e-06 1.6866364e-06 4.216591e-06 5.059909e-06 0.0 0.0 0.0 0.0 0.0 0.0 8.433182e-07 1.6866364e-06 0.32498616 3.2046093e-05 0.0017110927 0.0005329771 0.0011005303 0.0004933412 0.010673036 0.0038379412 4.1322593e-05 5.9032277e-06 6.7465458e-06 5.059909e-06 0.00015854383 5.059909e-06 1.0963136e-05 9.5294956e-05 0.020628408 5.9032274e-05 0.00016697701 5.734564e-05 6.830878e-05 3.4576045e-05 0.0007682629 0.0005237006 5.3129046e-05 1.0119818e-05 1.34930915e-05 1.0963136e-05 1.5179728e-05 9.2765e-06 1.9396319e-05 1.433641e-05 0.00297101 1.0119818e-05 2.6986183e-05 0.00014420741 0.0013628022 0.00044780198 3.373273e-05 4.0479274e-05 2.7829501e-05 7.589864e-06 6.7465458e-06 4.1322593e-05 3.3732729e-06 2.6142865e-05 2.9516137e-05 1.6866364e-06 0.005305315 5.4815686e-05 0.00015179729 8.433182e-05 0.0028082498 0.0013560557 0.0003651568 0.00017203692 2.7829501e-05 2.5299546e-06 3.3732729e-06 2.5299546e-06 3.3732729e-06 1.6023047e-05 6.7465458e-06 2.5299546e-06 0.0055852965 0.00010204151 0.00012228114 5.3129046e-05 0.0012388345 0.00059622596 0.0003196176 0.00019564983 9.951155e-05 9.2765e-06 2.6986183e-05 5.9032277e-06 0.00010119819 4.722582e-05 4.3852546e-05 8.854841e-05 0.017379945 0.0012202815 0.008475348 0.00067718455 0.0011679957 0.0008551247 0.023911444 0.0108164 0.00015517055 0.00024793556 9.951155e-05 9.6138276e-05 8.180187e-05 0.00010541478 0.00035925355 0.0017085627 0.0097141825 0.0003466038 0.0034837476 0.0009369265 0.0016773599 0.0008205486 0.009762252 0.0050287065 9.8668235e-05 0.000117221236 7.8428595e-05 8.0115235e-05 6.830878e-05 0.00010035487 0.00012649773 0.0003752766 0.021322457 0.00088126754 0.0027989731 0.0014066548 0.0015609821 0.001727959 0.008839661 0.0045463284 0.00073537347 0.00045201858 0.00011890787 0.00031287107 0.0003196176 0.0001990231 0.00019311988 0.0012169082 0.017913766 0.00060465914 0.0026370562 0.0018848162 0.0027247611 0.0016014613 0.009499136 0.004857513 0.0005338204 0.00054731354 0.00036262683 0.0002454056 0.00028925814 0.00023275583 0.00040226278 0.00056839647 0.014706627 0.00040394944 0.0016259175 0.0028554755 0.003622895 0.0023570745 0.005705891 0.0033353237 0.00034154387 0.0022398531 0.00034997705 0.0004494886 0.00026901852 0.00026648855 0.00020239638 0.0009917422 0.012007165 0.0011924519 0.0020703461 0.010896515 0.0041390057 0.0024709224 0.00595467 0.0035242268 0.0013417193 0.0014699036 0.0010701708 0.0007395901 0.001097157 0.0007581431 0.0008112721 0.0022702126 0.007965984 0.0012194382 0.0024135767 0.0028959548 0.002488632 0.0014226779 0.0035790426 0.002096489 0.0014699036 0.0029533005 0.00026311527 0.00027154846 0.0007041707 0.00024034569 0.00040647938 0.00069742417 0.014510133 0.003137987 0.0018932495 0.0030275125 0.003961066 0.0053339875 0.0025198348 0.0036355448 0.007804067 0.0017608484 0.00076657627 0.0014943599 0.004132259 0.001261604 0.0036920472 0.010153552 0.032892782 0.009041214 0.004980637 0.009557325 0.009982358 0.014606272 0.0071859146 0.009818754 0.022614421 0.0052547157 0.0032231621 0.004542955 0.011333354 0.0045412686 0.009753819 0.023745311 0.0007876592 0.00034407384 0.00041406925 0.00051611074 0.00023022588 0.00027913833 0.0006392352 0.00047984807 0.00025130884 0.00018131341 0.00021504615 0.00015938714 0.0001711936 0.00015179729 0.00016023047 0.00020070974 2905.0 33.14871 96297.0 0.083159395 0.00092422403 0.001038454 0.0009449931 0.0015265273 0.000654226 0.0007061487 0.001443451 0.0015888346 0.0011526839 0.00029076712 0.0005088424 0.0029699784 0.0047041965 0.010073003 0.009491469 0.00903455 0.0069991797 0.006739566 0.0057530347 0.0052234232 0.0041330466 0.0035722817 0.0031569 0.0035722817 0.0038630487 0.002731134 0.0021288306 0.0028038258 0.002772672 0.0017757562 0.0037488188 0.005929572 0.014185281 0.0025961348 0.008712629 0.01612719 0.009221471 0.003561897 0.0075910985 0.002440367 0.010976458 0.00041538157 0.0011319148 0.0069784108 0.007424946 0.007809174 0.005462268 0.012357602 0.0009657622 0.004797657 0.01251337 0.010176849 0.0029907473 0.0042472766 0.005503806 0.005659574 0.001827679 0.0006230724 0.00043615067 0.0011007612 0.00048807336 0.0004465352 0.0020353696 0.00077884045 0.048776183 0.010571461 0.02175561 0.028464023 0.075298294 0.013697208 0.011236072 0.018318327 0.051943466 0.0011838375 0.0050157327 0.032285534 0.020644464 0.03497513 0.05425922 0.01759141 0.0008826859 0.03966894 0.029969782 0.056720354 0.020883309 0.010363771 0.0068434114 0.006376107 0.010062619 0.000519227 0.0004465352 0.0011111457 0.000519227 0.00032192073 0.0025961348 5.4922395 0.0 15.0 0.0 7.0 594464.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.5085124 0.008894857 0.0049397787 0.0038248699 0.010270182 0.0018147787 0.0011311849 0.0029703777 0.009765625 0.00037434895 0.0024495444 0.002701823 0.0022298177 0.0021077474 0.0010986328 0.00079752604 0.005403646 0.0016520183 0.001163737 0.0008951823 0.0021321615 0.00013834635 0.00080566405 0.0002766927 0.0029622396 0.00033365886 0.0010579427 0.0032470704 0.0028727213 0.00033365886 0.0016357421 0.0006429037 0.0020589193 0.00052083336 0.00033365886 0.005485026 0.0021647136 0.0010498047 0.0004313151 0.00030110677 0.0012695312 0.0015869141 0.0032226562 0.0002360026 0.0013671875 0.00049641926 0.0017171224 0.003930664 0.001928711 0.0028971354 0.0018229167 0.0014078777 0.001570638 0.0010498047 0.00079752604 0.00017903646 0.0011881511 0.0003173828 0.0010253906 0.00034179687 0.0018798828 0.0013427734 0.0011311849 0.0013834635 0.01656901 0.0034261069 0.0013916015 0.0015218098 0.003873698 0.0014892578 0.0020914713 0.0021321615 0.0029052733 0.001538086 0.0011393229 0.0015625 0.0026529948 0.0011881511 0.0015218098 0.0017333984 0.0032714843 0.0014404297 0.00234375 0.0019775392 0.002693685 0.0017903646 0.0024251302 0.0018229167 0.0025065104 0.0012044271 0.0010416667 0.0006266276 0.0022460937 0.0006591797 0.0007324219 0.0011962891 0.0025960286 0.0022460937 0.00052083336 0.0011881511 0.0048828125 0.0039876304 0.003157552 0.0008789062 0.0052164714 0.002319336 0.0005615234 0.003076172 0.011189778 0.0016276041 0.0026692708 0.003092448 0.0044189454 0.002001953 0.0041503906 0.0020263672 0.0063964846 0.0025797526 0.001944987 0.0018229167 0.004036458 0.0022460937 0.0011800131 0.0020914713 0.0009358724 0.00041503907 0.0017740886 0.00034179687 0.0010416667 0.00083821616 0.00021158854 0.0001546224 0.0020589193 0.00039876302 0.0020670572 0.0001953125 0.00070800784 0.0011393229 0.001554362 0.00021158854 0.0032063802 0.00022786458 0.0016438802 0.0004231771 0.00046386718 0.00034179687 7.324219e-05 0.0005289714 0.0022460937 0.0016601563 0.00010579427 0.0001546224 0.00061035156 0.00390625 0.00013834635 0.00016276042 0.003092448 6.510417e-05 0.0024983725 0.0007405599 0.0011067708 0.000773112 0.0009928385 0.00017089843 0.00033365886 0.0005045573 0.0003092448 0.0001953125 0.0005615234 0.00025227864 0.0014892578 0.00046386718 0.0007568359 0.00069173175 0.00033365886 6.510417e-05 0.00028483072 0.00029296876 0.00045572917 7.324219e-05 0.0006347656 0.002327474 0.000382487 0.00016276042 0.0018147787 0.0002766927 0.0008463542 0.0001546224 0.0010009765 0.0015625 0.00045572917 0.0003173828 0.0018636067 0.00014648438 0.0002685547 0.0012613932 0.00069173175 0.0010742188 0.0011474609 0.00056966144 0.000382487 6.510417e-05 0.00013020834 0.0006429037 0.0020833334 0.0005371094 0.0020670572 0.0005615234 0.0010172526 0.00034179687 0.00056966144 0.0005289714 0.00060221355 0.00048014324 0.0008707682 0.0005452474 0.0004313151 0.0004394531 0.00070800784 0.0015950521 0.0007568359 0.0007324219 0.0009358724 0.0006591797 0.0016845703 4.0690105e-05 0.00069173175 0.0029947916 0.0012613932 0.00021972656 0.0012288411 0.0018391927 0.00044759116 0.0004720052 9.765625e-05 0.0012532552 0.0024658204 0.0001546224 0.0005289714 0.0014078777 0.0011311849 0.00012207031 0.0022949218 0.0014241537 0.0034016927 0.004630534 0.00011393229 0.00095214846 0.0010009765 0.0006591797 0.00040690103 0.0059814453 0.0044759116 0.003059896 0.0056966147 0.07207845 0.07515838 8.206408e-06 0.0 4.103204e-06 4.5135243e-05 4.103204e-05 8.616728e-05 4.5135243e-05 0.0 0.0 0.0 0.0 4.103204e-06 0.0 0.0 0.00023798582 0.0077386424 3.6928835e-05 0.0 3.6928835e-05 0.0 0.0 0.0 2.8722427e-05 0.0 0.0 0.0 0.0 4.103204e-06 0.0 0.0 0.00055803574 0.030527836 0.00025439865 0.00019695378 0.00013950893 0.00018874738 0.000114889706 0.0003200499 0.00025439865 5.7444853e-05 2.4619223e-05 3.2825632e-05 7.385767e-05 8.206408e-05 6.5651264e-05 6.5651264e-05 0.0012145484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0071108523 8.206408e-05 0.00012309612 0.00020105699 0.00017233456 6.975447e-05 0.00036928835 0.00014771534 4.103204e-05 8.206408e-06 1.6412816e-05 3.6928835e-05 8.206408e-06 0.0 8.206408e-06 8.206408e-06 0.026367188 0.00019695378 0.00019695378 0.0002133666 5.7444853e-05 8.206408e-05 0.00037749475 0.00038159796 0.00034466913 0.00046776523 0.00037749475 0.00040621718 0.00047597164 0.00068113185 0.0002995339 0.0026875986 0.013195903 0.0005087973 0.0005170037 0.00015592175 0.00046776523 0.00015592175 0.00054982933 0.00016412816 0.00013130253 0.000114889706 8.206408e-05 5.7444853e-05 8.206408e-05 0.0001066833 9.0270485e-05 0.0004267332 0.05385455 0.0012022387 0.0029337907 0.0012227547 0.0053300615 0.0045258338 0.003003545 0.0017192424 0.0005703453 0.0009232208 0.00048007484 0.0005703453 0.00077960873 0.00094784005 0.0009929753 0.004977186 0.07374278 0.0018259257 0.0055106026 0.0037339155 0.010192358 0.0074842437 0.008218717 0.007529379 0.0011324843 0.0007837119 0.0002174698 0.000221573 0.0002995339 0.00037749475 0.0007590927 0.00402114 0.07596261 0.003943179 0.002556296 0.0030158549 0.0067374604 0.0033564207 0.008481322 0.00697955 0.00274094 0.0027081145 0.00061137736 0.0016084559 0.0011735163 0.00084115675 0.0011653099 0.012572217 0.10063518 0.008477219 0.0062655923 0.004874606 0.008797269 0.005112592 0.012445017 0.010869387 0.0042098872 0.00485409 0.002314207 0.00253578 0.0036559545 0.0032538406 0.0051782434 0.035008535 0.09081621 0.00856749 0.007734539 0.006142496 0.011464352 0.0064133075 0.014586889 0.009166557 0.0066184676 0.006692325 0.0046858587 0.005026425 0.0064338236 0.0048499866 0.008136653 0.0463621 0.0058511687 0.00058265496 0.00027081146 0.00066471903 0.0035862 0.00080422795 0.001025801 0.0013048188 0.00034466913 0.00034466913 0.00025439865 0.00057444855 0.00059086137 0.00018054097 0.0002133666 0.0002133666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 10.591549 3008.0 0.005319149 0.0006648936 0.0 0.0006648936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010970744 0.0 0.0009973404 0.0006648936 0.0039893617 0.0039893617 0.0 0.0 0.0023271276 0.0 0.0006648936 0.0006648936 0.0013297872 0.0019946808 0.0 0.0 0.0 0.0 0.0006648936 0.022273935 0.016289894 0.010638298 0.011968086 0.011968086 0.018949468 0.012632979 0.0043218085 0.010638298 0.0026595744 0.00831117 0.008643617 0.015625 0.00930851 0.00731383 0.005319149 0.0003324468 0.011303191 0.017287234 0.010970744 0.0026595744 0.0076462766 0.004654255 0.0 0.0016622341 0.0 0.0 0.0029920214 0.0 0.0 0.004654255 0.0 0.05518617 0.0029920214 0.015957447 0.022273935 0.10006649 0.012965426 0.016954787 0.010305851 0.049534574 0.0013297872 0.027260639 0.050531916 0.026263298 0.05518617 0.047539894 0.018949468 0.0 0.045545213 0.028922873 0.06582447 0.01662234 0.0063164895 0.020611702 0.010305851 0.011635638 0.0 0.0019946808 0.0029920214 0.0 0.0 0.0 5.2202816 0.0 0.0 0.0 2.0 122880.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1127876600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -61440.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3765254 0.0 0.0 -4.26549 0.0 4.1681376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3132.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -58432.0 0.0 12400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 62196.0 12400.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 592.0 148.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.17857338 0.009681938 0.004312239 0.0057588075 0.0068528894 0.004660148 0.0039872187 0.003566066 0.009073097 0.0028656705 0.010762286 0.0029526479 0.0064820917 0.004435838 0.0024307845 0.004586904 0.005484143 0.0023209185 0.0021194976 0.0023575404 0.0035569107 0.003149491 0.002311763 0.0018906101 0.0032318905 0.0028656705 0.0017029224 0.0019455431 0.0028794038 0.0018860324 0.0017258112 0.0018860324 0.0054520983 0.0017761664 0.0016663005 0.0020416758 0.006134183 0.0030670916 0.0018906101 0.001437413 0.0025177617 0.0016205229 0.0016937669 0.002929759 0.0020645645 0.002421629 0.0017532776 0.0017258112 0.0037629092 0.002018787 0.0018219439 0.0058686733 0.002508606 0.0017990551 0.0016937669 0.0017853219 0.002801582 0.0022980298 0.0017898997 0.0035385995 0.002421629 0.0019272321 0.001803633 0.0018585658 0.0057221856 0.015303413 0.0024674064 0.0026322054 0.003877353 0.009608694 0.0039597526 0.0026138944 0.0032090016 0.0024170512 0.0018814546 0.0021057643 0.0038544643 0.010812642 0.0034745112 0.0022659856 0.007498352 0.005516187 0.0025910055 0.0044678827 0.0029984252 0.003749176 0.0056901416 0.0037903758 0.0027374935 0.002787849 0.0019318098 0.0021378086 0.0022247857 0.002819893 0.003804109 0.00313118 0.00276496 0.0029343367 0.0020142093 0.0024765618 0.004550282 0.006326448 0.0034150004 0.0022980298 0.003657621 0.0032685124 0.004564015 0.0017990551 0.00276496 0.0022247857 0.0029206036 0.0028473595 0.0037262873 0.001657145 0.0030808246 0.0027283381 0.005919029 0.0075075077 0.0023804293 0.0021606972 0.0022110525 0.0019180767 0.0017349666 0.0014465685 0.0025864278 0.0027695377 0.0022293634 0.0017395444 0.0056168973 0.002655094 0.0019226543 0.0080614155 0.0026505163 0.0046647256 0.0021881638 0.0017990551 0.002677983 0.009810115 0.002494873 0.022266168 0.0021698528 0.010858419 0.0017120779 0.0015930565 0.00276496 0.0016342562 0.001675456 0.0026734052 0.0017624332 0.0017166557 0.0016937669 0.0015701677 0.0020554091 0.0026917162 0.0016296784 0.0014648795 0.0018860324 0.0013550136 0.0016388339 0.001492346 0.0020645645 0.0015427013 0.0017395444 0.001657145 0.0018585658 0.0017624332 0.0015015015 0.0015884787 0.002549806 0.0017258112 0.0016479895 0.0016434117 0.0018768769 0.001474035 0.0015930565 0.0019775874 0.0024857174 0.0016159452 0.0016296784 0.0016983447 0.002000476 0.0017807442 0.0019318098 0.0018631436 0.005131656 0.0018173661 0.0017715887 0.0019592764 0.0023438071 0.001730389 0.0020966087 0.0018402549 0.0052140555 0.0038132644 0.0039093974 0.003620999 0.0028885594 0.001986743 0.003479089 0.0037537538 0.0025910055 0.0035340218 0.0020691424 0.002330074 0.0055802753 0.0018539882 0.0024490955 0.0021973192 0.0023987403 0.0021515419 0.0023209185 0.0024765618 0.002201897 0.0016525672 0.0020508312 0.0020096316 0.0028244709 0.0017898997 0.0019730097 0.0021698528 0.0023071852 0.001675456 0.0021240753 0.0018768769 0.0031037135 0.0020966087 0.0021194976 0.0017624332 0.0024353622 0.0014191021 0.0016846114 0.0016434117 0.0116183255 0.0057633854 0.0020462535 0.0034699333 0.0053468104 0.0017349666 0.0016159452 0.0020782978 0.005259833 0.002641361 0.0020874534 0.0022339413 0.0033829561 0.0015747455 0.0023575404 0.0024490955 0.0033371786 0.0020966087 0.0019684318 0.0020325202 0.00640427 0.0019775874 0.0033188676 0.034026403 0.02825352 0.0 0.0 0.0 0.0 4.606427e-06 2.9941775e-05 9.212854e-06 0.0 2.3032135e-06 2.3032135e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044060475 2.3032135e-06 6.9096404e-06 0.0 4.3761054e-05 6.9096404e-06 2.3032135e-06 4.606427e-06 2.0728921e-05 4.606427e-06 4.606427e-06 4.3761054e-05 2.7638562e-05 2.3032135e-05 4.3761054e-05 7.600604e-05 0.0083146 5.988355e-05 0.0001358896 3.9154627e-05 0.0001704378 8.752211e-05 0.00031554024 0.00014510244 7.8309255e-05 1.3819281e-05 1.1516067e-05 1.3819281e-05 9.212854e-06 9.212854e-06 1.3819281e-05 1.6122494e-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 0.0034018462 0.0002211085 3.9154627e-05 4.1457843e-05 4.3761054e-05 4.3761054e-05 3.6851416e-05 1.8425708e-05 0.00046755234 3.6851416e-05 3.9154627e-05 3.9154627e-05 2.5335348e-05 0.00010134139 0.00011746389 4.3761054e-05 0.056631412 0.0021558078 0.0018817254 0.0007715765 0.0060919994 0.0017965065 0.0027293079 0.0014302955 0.00051822304 0.0014118699 0.000550468 0.0006955705 0.00072781544 0.00033166274 0.0005804098 0.0066010095 0.0030517578 0.00012207031 4.3761054e-05 0.00026717276 2.0728921e-05 1.3819281e-05 0.000108251035 0.000108251035 0.0002740824 0.0001381928 1.6122494e-05 1.8425708e-05 0.00012667674 1.1516067e-05 4.3761054e-05 0.00035239165 0.01658544 0.0009880785 0.0007577572 0.0007186026 0.0032337117 0.0013404703 0.003238318 0.0016882555 0.0009351047 0.00028790167 0.00029711454 0.00022571492 0.00032475308 0.0005136166 0.0006541126 0.001229916 0.015072228 0.0010272332 0.00115391 0.0010180203 0.003148493 0.001165426 0.0016583137 0.0008222472 0.0012805867 0.00069326727 0.0002763856 0.00061035156 0.0012598578 0.0006241708 0.0010410525 0.0021673238 0.010509563 0.0008360665 0.00088213076 0.0009857754 0.0028099203 0.0014556309 0.0031738281 0.0016214623 0.0009166789 0.00073011866 0.00021880527 0.00035008843 0.00069096405 0.0006333837 0.0006840544 0.0018034162 0.008807488 0.0009788657 0.000550468 0.00075084757 0.0050555533 0.0017020748 0.0012207031 0.001133181 0.004410654 0.0004445202 0.0005021005 0.0025128059 0.0037150832 0.00066102226 0.0038233344 0.006184128 0.051027693 0.006435178 0.005933078 0.005969929 0.021599535 0.018552383 0.008286962 0.010018978 0.03230487 0.0019508218 0.0018609965 0.0042033647 0.01300164 0.0042609447 0.014351323 0.021940412 0.031088775 0.007379496 0.0077088554 0.007517689 0.012285341 0.010744491 0.007964512 0.007964512 0.020381136 0.0028513782 0.002913565 0.0033005048 0.009765625 0.0052605397 0.007543024 0.015707916 0.022854786 0.021092828 0.020933907 0.021454433 0.021892045 0.021088222 0.021841373 0.020830262 0.02176076 0.021233324 0.021525834 0.02176767 0.021806825 0.021643296 0.021242538 0.021371517 896.0 10.472098 9383.0 0.026430778 0.0025578174 0.0039433017 0.0031972716 0.006181392 0.009378663 0.0058616647 0.0018117873 0.004263029 0.0029841203 0.0025578174 0.0043696044 0.005009059 0.017904721 0.010550996 0.0067142705 0.019823084 0.008632634 0.007673452 0.006927422 0.006501119 0.0056485133 0.0036235745 0.0039433017 0.005328786 0.0056485133 0.0058616647 0.0047959075 0.003836726 0.0034104232 0.0033038473 0.0023446658 0.0036235745 0.01715869 0.0047959075 0.017371843 0.01044442 0.022274327 0.01470745 0.014920601 0.0059682406 0.013428541 0.0027709687 0.006394543 0.020142812 0.009378663 0.010337845 0.010124694 0.013002238 0.0090589365 0.01246936 0.022487476 0.015773207 0.0034104232 0.009911542 0.0090589365 0.0074603003 0.0039433017 0.006181392 0.0029841203 0.0031972716 0.0039433017 0.0036235745 0.019503357 0.0022380902 0.025151871 0.0059682406 0.018970478 0.020462539 0.05382074 0.0078866035 0.013215389 0.010870724 0.032931898 0.004263029 0.005435362 0.022807205 0.013641693 0.029841201 0.027603112 0.012043057 0.0022380902 0.030587232 0.023979537 0.038047533 0.011403603 0.006501119 0.0090589365 0.00522221 0.0066076946 0.0033038473 0.0020249388 0.0039433017 0.0031972716 0.0035169988 0.0023446658 6.1301026 0.0 13.0 6.0 3.0 218448.0 217088.0 0.0 0.0 154.0 0.0 1.0 1.0 0.0 0.0 1117011600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 86016.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 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 -86016.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.654889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0524135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.513664 0.0 7.69292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84110.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -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 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 -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 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -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 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 119672.0 8744.0 135168.0 0.0 0.0 5456.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1488.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.03765527 0.0042949845 0.003994295 0.0037789363 0.006395748 0.003327902 0.0035717043 0.004323428 0.00418121 0.003632655 0.0037261124 0.0033644724 0.004055246 0.003352282 0.003327902 0.007850436 0.003929281 0.0038155066 0.0033482187 0.0035432607 0.0034132327 0.0033604088 0.0035757676 0.003405106 0.0034294862 0.0036204648 0.003153177 0.0033157119 0.003657035 0.0035635775 0.003340092 0.0035066903 0.00589189 0.0033766625 0.00348231 0.0033238386 0.009622065 0.0033604088 0.0033766625 0.0032872683 0.003657035 0.003632655 0.0032791414 0.003283205 0.0037383025 0.0033969793 0.0033238386 0.0032994584 0.004136513 0.0044615828 0.004116196 0.0042746677 0.004648498 0.0039211544 0.0038927107 0.0057456084 0.004526597 0.0041080695 0.0031125431 0.0034498032 0.0035270073 0.0033441554 0.0034538666 0.003754556 0.0036245282 0.00345793 0.0032710147 0.0034132327 0.0043071746 0.004148703 0.0038764572 0.0036042114 0.003392916 0.0035310707 0.0033644724 0.0034863735 0.0036042114 0.0033238386 0.0034294862 0.0033807259 0.0037057956 0.0034538666 0.0034498032 0.0034619933 0.0034457399 0.0036164015 0.0034416765 0.003437613 0.0033563455 0.0033197752 0.0036692251 0.0034498032 0.0033847892 0.0033685358 0.003514817 0.009203538 0.0048719835 0.004201527 0.0038683305 0.0041893367 0.005587137 0.0041893367 0.007724471 0.0032588246 0.0042259074 0.0036732885 0.00345793 0.003295395 0.003986168 0.0034010427 0.0034538666 0.0037383025 0.0034498032 0.0034457399 0.0036367183 0.0036732885 0.0045550405 0.0037586195 0.003514817 0.0034335495 0.003514817 0.003547324 0.0035717043 0.0031938106 0.003340092 0.003502627 0.0035554508 0.003230381 0.0037789363 0.0035066903 0.0036814155 0.0042259074 0.0037586195 0.0037301758 0.0035513875 0.0037017323 0.0041934005 0.005412412 0.0035310707 0.0039455346 0.0032506979 0.005652151 0.0034538666 0.0036895422 0.0034132327 0.0032994584 0.003417296 0.0034294862 0.0033725991 0.003417296 0.003262888 0.0031328602 0.0036610984 0.0035188803 0.0035270073 0.0032710147 0.005932524 0.0032913317 0.0033725991 0.0034619933 0.0033116485 0.003275078 0.0031166065 0.0036651618 0.0033319653 0.0032222543 0.0032344444 0.0034091694 0.003088163 0.0032547612 0.0033441554 0.003514817 0.0035107536 0.0032344444 0.0034619933 0.0034660567 0.0034538666 0.0032669513 0.0033482187 0.0034010427 0.003275078 0.00345793 0.003600148 0.00381957 0.004018675 0.0034294862 0.0040389923 0.0037017323 0.0033847892 0.0034985635 0.0039049007 0.0031369235 0.004441266 0.0041852733 0.0035107536 0.003632655 0.003941471 0.0035960844 0.004420949 0.0040511824 0.0037586195 0.0036814155 0.0033157119 0.0033604088 0.0033360287 0.0034335495 0.0033319653 0.003514817 0.00383176 0.0032506979 0.0040389923 0.0036164015 0.003437613 0.003392916 0.0032506979 0.0035513875 0.0037789363 0.003405106 0.0034416765 0.0033197752 0.0033766625 0.0033847892 0.0036489083 0.0036245282 0.003612338 0.0033847892 0.0035513875 0.0034335495 0.0033238386 0.0033197752 0.0034985635 0.0034945002 0.0057131015 0.006221023 0.0035635775 0.0034416765 0.003437613 0.0033563455 0.0035188803 0.0033482187 0.003405106 0.0034498032 0.003632655 0.003547324 0.0033766625 0.0039902315 0.004055246 0.0037057956 0.0040105483 0.0042259074 0.0037789363 0.0033847892 0.0036732885 0.0036245282 0.0039658514 0.010910154 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-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 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751765 0.053790614 0.05671826 0.053310506 0.05444234 0.05372524 0.05986042 0.054705888 0.058487512 0.05426664 0.05221749 0.05394997 0.056283098 0.05410524 0.05645471 0.059746012 1068.0 10.746255 11477.0 0.049316023 0.0050535854 0.007144724 0.0042694085 0.006360547 0.0042694085 0.004008016 0.005314978 0.005924893 0.005663501 0.0042694085 0.004792193 0.0046179313 0.003572362 0.005750632 0.004705062 0.014725102 0.02657489 0.022654004 0.02779472 0.018036073 0.01664198 0.015770672 0.05654788 0.024658011 0.015944934 0.0043565393 0.0055763703 0.0060991547 0.0073189856 0.0054021087 0.0058377623 0.006883332 0.007928901 0.0042694085 0.0048793238 0.006447678 0.0055763703 0.0060991547 0.007231855 0.004792193 0.006360547 0.005140716 0.0058377623 0.005750632 0.006012024 0.0062734163 0.0042694085 0.006796201 0.005314978 0.0048793238 0.006796201 0.00444367 0.0045308005 0.0045308005 0.006012024 0.0055763703 0.0041822777 0.006012024 0.0058377623 0.0033981006 0.005140716 0.0041822777 0.12581685 0.0049664546 0.020388603 0.011152741 0.025442189 0.015073625 0.023002528 0.0140280565 0.007231855 0.0062734163 0.009671517 0.004705062 0.0043565393 0.010629956 0.0067090704 0.009322993 0.012808225 0.006012024 0.0067090704 0.013940926 0.009235863 0.014812233 0.009932909 0.005140716 0.006360547 0.0066219396 0.006970463 0.005227847 0.0048793238 0.0050535854 0.0062734163 0.0054892395 0.0054021087 5.9390526 0.0 0.0 0.0 5.0 246101.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0