Input: 0.20512089 0.015936758 0.0057198843 0.005451053 0.009619542 0.0031849137 0.0033947176 0.0025959227 0.010013486 0.001872837 0.0026491757 0.0015128981 0.005811633 0.0020062902 0.0012601068 0.005667273 0.0074329623 0.002427823 0.0012421419 0.0011805481 0.0050596753 0.0050474848 0.0016097801 0.00085782225 0.0030033402 0.0010573606 0.0006537927 0.00086231343 0.0025773162 0.00075067463 0.00064160227 0.000793662 0.009273719 0.0007590155 0.0014455299 0.0007314266 0.011808048 0.0016931883 0.00063326146 0.00061080535 0.002006932 0.00069421367 0.0006031061 0.0013717456 0.0017778799 0.00088990235 0.0015661512 0.0007923788 0.0053047673 0.0011163879 0.0010470949 0.005516496 0.0017085868 0.0013338911 0.00092647364 0.0015000661 0.0018619298 0.0025105895 0.00091492484 0.003911849 0.0020640346 0.0015045573 0.00080521085 0.0014493795 0.0062806443 0.0026055467 0.0015161062 0.0022430415 0.0490614 0.007760821 0.0048190746 0.0033209333 0.0071115196 0.0036346768 0.0027056367 0.0007487498 0.004350705 0.0035929726 0.0020800745 0.0011843977 0.009876825 0.0031059966 0.002400234 0.0045271455 0.0026055467 0.0032805123 0.0053195246 0.004677922 0.0016880556 0.0043051513 0.0005691012 0.0018843858 0.0017509325 0.0025850155 0.0049916655 0.0034967323 0.0012171195 0.0042480486 0.001192097 0.0029597112 0.005538311 0.00835302 0.0076260846 0.0026812558 0.0055594835 0.0042929607 0.005054543 0.0008873359 0.009399473 0.0016899804 0.00476518 0.0047157765 0.0026928047 0.00049788336 0.005327865 0.0039882 0.01328245 0.010732081 0.0033870183 0.0020819993 0.0019498293 0.0014763268 0.0006505847 0.00049467536 0.0021339692 0.002116646 0.001643785 0.0011003478 0.004149242 0.0012992446 0.00061080535 0.0107981665 0.0031496256 0.0075875884 0.0011311448 0.0005556276 0.0020120647 0.010060323 0.0014076753 0.026473152 0.0016662411 0.009956384 0.0007859628 0.00047414406 0.0014185826 0.00038111175 0.0004247407 0.0010669846 0.00085076457 0.0006229958 0.00037533732 0.00038816937 0.0010381124 0.0014019009 0.00046516163 0.00035993886 0.0008398574 0.00054151233 0.00041704148 0.0005075074 0.0014038257 0.0022430415 0.0017483662 0.0024573368 0.00086295506 0.00055498595 0.00057551725 0.00054664514 0.0011298616 0.00039073577 0.00047093607 0.00060053973 0.00092069927 0.00035480605 0.00034261562 0.00032529235 0.0010297716 0.00036250526 0.00041319185 0.00040164302 0.0008212509 0.0008398574 0.0012876957 0.0006858728 0.0022237934 0.0005357379 0.0004292319 0.00092069927 0.0008058524 0.0007455418 0.0008263837 0.00074939145 0.006745806 0.0018407569 0.0019517541 0.0040600593 0.0045444686 0.0005915573 0.008626984 0.003826516 0.0018529473 0.001822792 0.0005665348 0.00061786297 0.04258186 0.0006249206 0.0012408588 0.0007737723 0.0015327878 0.0007949452 0.0011298616 0.00093160645 0.0010175812 0.0004998082 0.00093353126 0.00094379694 0.0017740303 0.0006845896 0.00052611384 0.0012049291 0.00085782225 0.0006659831 0.00049595855 0.00047606888 0.0017329677 0.0004933921 0.00050429936 0.00043564793 0.0011991546 0.0004298735 0.0005132818 0.00051777303 0.0116572715 0.002400234 0.0004882593 0.005449128 0.0033960007 0.0005126402 0.0006833064 0.0005986149 0.0026158125 0.0009367393 0.0005318883 0.0009778019 0.0016720155 0.00046452004 0.0017926367 0.0016662411 0.003816892 0.0011850394 0.0008334413 0.0012703724 0.0038508968 0.0018914435 0.0031477008 0.053405046 0.021651309 6.4205295e-07 1.2841059e-06 0.0 7.3836086e-06 4.815397e-06 2.18298e-05 5.7784764e-06 0.0 0.0 0.0 6.4205295e-07 6.4205295e-07 0.0 0.0 1.9261588e-06 0.0025380352 5.1364236e-06 3.8523176e-06 1.6051323e-06 5.45745e-06 2.2471852e-06 1.2841058e-05 9.95182e-06 1.31620845e-05 3.2102646e-06 9.95182e-06 5.1364236e-06 8.667715e-06 4.173344e-06 1.9261588e-06 4.4943704e-06 0.0023983887 4.815397e-06 5.45745e-06 1.0593873e-05 3.081854e-05 2.9213408e-05 7.833046e-05 3.9486255e-05 1.9261588e-05 1.6051323e-06 9.630794e-07 1.9261588e-06 2.2471852e-06 2.5682118e-06 9.630794e-07 3.2102646e-06 0.008767554 5.971092e-05 9.887615e-05 7.1588904e-05 0.0006369165 0.00022760776 0.00018137995 9.373973e-05 0.000111075155 3.0497515e-05 2.985546e-05 4.1412415e-05 3.916523e-05 4.1412415e-05 3.6597015e-05 5.2006286e-05 0.0054426827 0.000104654624 0.00012327416 0.00010979105 8.346688e-05 5.072218e-05 0.00019903641 0.0001261634 4.3017546e-05 1.990364e-05 4.0128307e-05 2.0545694e-05 2.5040064e-05 1.5088243e-05 3.2744698e-05 0.0001383624 0.0036439714 0.00011235926 5.0401155e-05 2.7608276e-05 0.015537681 4.879602e-05 0.0020850669 0.000108185915 1.7656455e-05 4.173344e-06 1.8940562e-05 1.31620845e-05 0.010245881 7.3836086e-06 0.00076051167 0.00019133177 0.0070263064 9.181357e-05 0.00025810528 0.00025072167 0.019872822 0.000102407445 0.008376865 0.00074767065 0.00011813774 4.6548837e-05 4.3980624e-05 2.6966223e-05 0.018908137 4.430165e-05 3.531291e-05 0.00059165177 0.034898143 0.0015865128 0.0029987083 0.0009133203 0.012171077 0.0009370762 0.010310728 0.005446856 0.0006642038 0.0006272857 0.00023916471 0.0003675753 0.008144121 0.00019229486 0.00033194135 0.002353766 0.021313589 0.0005226311 0.001869337 0.0006757607 0.0020314555 0.0015730297 0.0071296766 0.003700793 0.00033322547 0.0001418937 0.00016789684 0.00029438126 0.0003139639 0.00012199006 0.0008709448 0.001674474 0.014469947 0.00078298355 0.0018054529 0.0009720681 0.003395818 0.0019428522 0.008250059 0.0043624286 0.000412198 0.00025040066 0.00026484684 0.00024911654 0.0006272857 0.00020192565 0.00035954965 0.0011007998 0.011334802 0.0008285693 0.0020330606 0.0014276047 0.002959864 0.0019691763 0.006137384 0.003591323 0.00040224617 0.00038202148 0.00032487878 0.00030401206 0.0007133208 0.0003807374 0.00043884318 0.0016176524 0.011686969 0.0010105913 0.0018240723 0.0034863474 0.0027518389 0.0018664479 0.004789394 0.0028211805 0.00085842476 0.0007049741 0.0004953438 0.00043948521 0.001054893 0.0005858733 0.0006995167 0.0023999938 0.010987451 0.0014131585 0.0014420509 0.0021977471 0.002111391 0.0026112292 0.0034394774 0.00227062 0.0016568176 0.0009146044 0.0009197408 0.0006995167 0.0016285672 0.0010542509 0.00085457246 0.0032741488 0.07432918 0.015327409 0.013083434 0.011350853 0.020885661 0.023725782 0.009413138 0.014070911 0.042945635 0.004174307 0.0070574456 0.006125506 0.022806041 0.00605488 0.012554382 0.03562206 0.050503884 0.013019228 0.010730631 0.011649408 0.020163992 0.021643283 0.009265466 0.015838483 0.034215 0.0035049669 0.0050779968 0.0042394754 0.017534465 0.0055239024 0.013839129 0.030837802 0.0006767238 0.00033097828 0.00032102645 0.00031556902 0.00041829748 0.00034606652 0.0004911705 0.00033739881 0.0003370778 0.00028218227 0.00023274419 0.00024398012 0.00025682116 0.00023274419 0.00020320975 0.00023370727 9606.0 21.48324 206368.0 0.028623624 0.00087222824 0.0019528221 0.0006493255 0.0048796325 0.0026748334 0.00060571404 0.0010272911 0.0017686851 0.0014246395 0.000741394 0.00062025123 0.002442239 0.0018413707 0.0052915183 0.0018510622 0.004874787 0.0031594045 0.0027862848 0.002713599 0.001904365 0.0013858738 0.0013180338 0.004986238 0.002088502 0.0021321136 0.0017056908 0.0020303535 0.0038474957 0.0022871762 0.0012017367 0.0044289813 0.0067210034 0.0084073115 0.0022144907 0.0062945806 0.33364186 0.0070311287 0.010922236 0.005388432 0.002611839 0.006556249 0.00057179405 0.0011581252 0.0078549 0.0031303302 0.0050104666 0.0031497132 0.009289231 0.0024373934 0.007234649 0.008998488 0.0051994496 0.0032514732 0.005853621 0.0060135294 0.0037021243 0.0025924563 0.0008140797 0.0019479764 0.0012744224 0.0020497364 0.013514692 0.01000155 0.0005572569 0.020851102 0.005092844 0.012889596 0.021926848 0.03970577 0.03980268 0.012540704 0.006643472 0.019600907 0.0025197705 0.0019092107 0.0561715 0.007365483 0.019503992 0.0201727 0.0074430145 0.0009352225 0.023923283 0.01845732 0.030886572 0.008664134 0.011600636 0.003120639 0.003304776 0.0048796325 0.0010272911 0.00019867421 0.00094491395 0.0005911769 0.00044095985 0.0013713366 4.7042723 3.0 56.0 0.0 19.0 1558598.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.185378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.72374713 0.003280655 0.0015955826 0.0020487434 0.002494288 0.0010833968 0.0011176695 0.0010624524 0.0022543792 0.0011043412 0.0011728865 0.0007349581 0.0016736481 0.0009215537 0.0007006854 0.0014242193 0.0020258948 0.0008777609 0.00058263517 0.0007559025 0.0011595583 0.0011214776 0.0006302361 0.0005845392 0.0013632901 0.00070449355 0.0009215537 0.00068164506 0.00091964967 0.00060167554 0.000990099 0.00077303883 0.003071211 0.0006549886 0.00083206396 0.00084539223 0.0018621477 0.00084539223 0.0007977913 0.0006549886 0.00074067025 0.00048743337 0.00051218586 0.0006930693 0.0007083016 0.0007063976 0.0010357959 0.0006130998 0.0010986291 0.00086633663 0.0009063214 0.0016089109 0.0010529322 0.0017993145 0.0007559025 0.0007501904 0.0008492003 0.00087585684 0.00079017517 0.0013366337 0.0010015232 0.0010986291 0.00079588726 0.0011024371 0.0013766184 0.0011290937 0.000934882 0.0035662604 0.0013404418 0.0016393755 0.000936786 0.0010357959 0.0011862147 0.0008777609 0.0006207159 0.0005997715 0.0008568165 0.0010586444 0.00079588726 0.00071591773 0.0021706016 0.0011005332 0.0015555979 0.0014013709 0.0012623762 0.0011709825 0.0021610814 0.0012357198 0.0010681645 0.0016469916 0.00057501905 0.0014813405 0.0007863671 0.0014413557 0.0009291698 0.0010167555 0.00088156894 0.0020068546 0.00065879663 0.001302361 0.0013233054 0.0029588728 0.0009805788 0.00090441736 0.0014737243 0.0021210967 0.0013823305 0.00074638234 0.0015365575 0.00094059407 0.0016279513 0.0017802742 0.0011062452 0.0005940594 0.0024067021 0.0018126428 0.00333016 0.0036348058 0.0010205636 0.0016393755 0.0011500381 0.00087585684 0.0006150038 0.00083206396 0.0012204874 0.00090441736 0.00069687737 0.00083206396 0.0016165271 0.00083968014 0.0005769231 0.0024105103 0.0011024371 0.0016203352 0.0005159939 0.0004988576 0.0010376999 0.0020106626 0.0010643564 0.0052284845 0.0010548362 0.0016641279 0.00048933737 0.0006511805 0.000729246 0.0005369383 0.00048933737 0.00064356433 0.00080921553 0.00067593297 0.0007425743 0.0005102818 0.0005407464 0.00057501905 0.0015936786 0.0005769231 0.00081111956 0.00053313025 0.0004931455 0.00061690784 0.00070449355 0.00081873575 0.0004988576 0.000727342 0.000887281 0.00073876616 0.0007863671 0.0005559787 0.00078827114 0.0004322163 0.00046077685 0.000519802 0.0007844631 0.0004988576 0.00047220106 0.00050266564 0.0006283321 0.00050837774 0.000573115 0.00060167554 0.00058073114 0.0005502666 0.00055978674 0.00095582637 0.0007140137 0.0005274181 0.00088347297 0.00067402894 0.00079588726 0.000521706 0.00053313025 0.0008987053 0.0017974105 0.0010833968 0.00068354915 0.0013728103 0.0010738766 0.00058073114 0.0008434882 0.0009710586 0.0008568165 0.0014261234 0.000468393 0.00053313025 0.0016507996 0.0009939071 0.00051789795 0.00048743337 0.0010567403 0.0016031988 0.0006150038 0.0006930693 0.00064737245 0.00052361004 0.00086633663 0.00055978674 0.0008549124 0.00058644323 0.00047220106 0.00060357957 0.0006511805 0.0005502666 0.000571211 0.0005502666 0.0010567403 0.0006092917 0.00056930695 0.0012928408 0.0010338918 0.0009824829 0.000571211 0.00060167554 0.002757045 0.000887281 0.00053313025 0.0011271896 0.0016165271 0.000573115 0.0005502666 0.00060357957 0.001091013 0.000573115 0.000468393 0.000833968 0.0014908606 0.0005426504 0.0016527037 0.00075209443 0.0013328256 0.0012814166 0.00058073114 0.0006340442 0.0013651942 0.00069687737 0.0012661843 0.01155179 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.002884777 0.0029698203 0.003202972 0.0033979025 0.002843689 0.0024891833 0.0025493824 0.0027672455 0.002423251 0.0025111607 0.0029124878 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 810.0 13.606173 11021.0 0.040014517 0.0017239815 0.0045367936 0.0017239815 0.0058978316 0.0013610381 0.0014517739 0.0052626804 0.0029942836 0.0011795663 0.0020869249 0.0019054533 0.0031757553 0.0051719444 0.0077125486 0.0039016423 0.01097904 0.008529171 0.010343889 0.008982851 0.0078940205 0.0077125486 0.007440341 0.004718265 0.006895926 0.0066237184 0.0067144544 0.0057163597 0.006895926 0.008075492 0.0065329825 0.005988567 0.004083114 0.015606569 0.0039923782 0.009708738 0.01714908 0.0056256237 0.0071681337 0.012793757 0.0050812084 0.011614191 0.0018147173 0.0033572272 0.005988567 0.006170039 0.009345794 0.0042645857 0.016967608 0.0036294346 0.008438435 0.01361038 0.0079847565 0.0039016423 0.009345794 0.010071681 0.009164323 0.0023591325 0.0017239815 0.0029942836 0.0041738497 0.0030850195 0.0027220761 0.0058978316 0.006079303 0.034842573 0.006079303 0.027311496 0.019145269 0.073859 0.008347699 0.010525361 0.010797569 0.03447963 0.0042645857 0.0032664912 0.030577987 0.013247437 0.032664914 0.038562745 0.015062154 0.0029942836 0.043371744 0.027402231 0.054532256 0.017965702 0.009345794 0.0043553216 0.007531077 0.009708738 0.0031757553 0.0018147173 0.0022683968 0.0019054533 0.0017239815 0.0028128119 5.9218855 0.0 1.0 0.0 5.0 525200.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.0011801252 0.0020625286 0.0016984475 0.00039815772 0.00038380967 0.00065821566 0.0020463872 0.00031206955 0.00029234102 0.00039815772 0.0011621901 0.0003891902 0.00032103708 0.00034614612 0.00082321797 0.00033000458 0.00016141529 0.014059272 0.0014096935 0.0003802227 0.00029413452 0.013992912 0.0014383895 0.00031565657 0.00021701389 0.00041071224 0.023910984 0.0003873967 0.001721763 0.00042864727 0.024088541 0.00031565657 0.00032283057 0.00048962637 0.0008949581 0.000277993 0.00024212293 0.00054163794 0.0011317006 0.000285167 0.0005147354 0.0003856032 0.0012159952 0.00045554983 0.00020266586 0.00035511365 0.0009451762 0.00017755682 0.00048424586 0.0023835658 0.030251019 0.00046451733 0.0007281623 0.0027028094 0.030186452 0.00074968435 0.00025467746 0.016030332 0.00073533633 0.00049321336 0.00031924358 0.015797175 0.00064745464 0.0003335916 0.0016536099 0.000548812 0.0012411042 0.00057930156 0.0033197745 0.0005936496 0.001147842 0.0007837609 0.005306976 0.0017952967 0.0011890926 0.0018742109 0.052714646 0.0059113866 0.0026095472 0.013614483 0.015571195 0.07287004 0.0026274822 0.0011729511 0.014860967 0.008924472 0.0029628673 0.0006689767 0.0153972255 0.0018401343 0.0026902547 0.0007586519 0.015852775 0.0009487632 0.0015101297 0.0014294221 0.00063848717 0.0006205521 0.011187873 0.00043582128 0.0007783804 0.00058826903 0.001974647 0.00036408115 0.00038201618 0.00062951964 0.00058647554 0.0003802227 0.00064028066 0.0004412018 0.0005039744 0.00036766817 0.0005272899 0.0003927772 0.00073533633 0.0003407656 0.00041967974 0.00036408115 0.00086805556 0.00032821108 0.0005506055 0.0013845845 0.00070125976 0.0006151716 0.008897569 0.0005165289 0.0008608815 0.0009469697 0.0008806101 0.0019782342 0.0029341714 0.0015603479 0.00042864727 0.00064028066 0.020600177 0.0008214245 0.014168675 0.0006241391 0.0010922435 0.0007371298 0.0004322343 0.00046272384 0.000848327 0.00068511826 0.0003479396 0.00043402778 0.0007891414 0.00074789085 0.014405418 0.00055239897 0.0017127956 0.0012393107 0.0005003874 0.001967473 0.0010366449 0.021778509 0.0003873967 0.0023584568 0.0011962666 0.0035098859 0.00064207416 0.00042864727 0.00052549643 0.0010994175 0.0144933 0.0003802227 0.00073533633 0.0013325729 0.00031027605 0.00036408115 0.0016195334 0.0015800763 0.00068511826 0.0006546287 0.029802643 0.0017845357 0.0016338815 0.0007102273 0.0008967516 0.029508509 0.0012751808 0.00048065887 0.00064566114 0.0011711576 0.015223255 0.00019907886 0.00076761935 0.0006079976 0.0005470185 0.0002259814 0.0006653897 0.00081066345 0.00018114383 0.018668575 0.0011245265 0.00082680496 0.00024032943 0.004394083 0.0009075126 0.00096131774 0.007977502 0.057621673 0.015232223 0.0031996097 0.005724862 0.07157692 0.015112058 0.0028068325 0.00025109045 0.01488249 0.0018383408 0.00032283057 0.004012067 0.0015531738 0.0007873479 0.000555986 0.0002259814 0.00172535 0.0007729999 0.00037663567 0.00021701389 0.015847394 0.0006366936 0.0003873967 0.00026364496 0.0006958792 0.0003999512 0.0017056216 0.00037125516 0.0006940857 0.00049321336 0.00033717862 0.00020983987 0.0005613665 0.0005290834 0.00031745006 0.00025647096 0.000548812 0.00053984445 0.00039636422 0.00036946166 0.00048245236 0.0003927772 0.00040353823 0.00018473083 0.0003335916 0.00042506025 0.0005129419 0.00026005798 0.009084093 0.00090213213 0.00050756143 0.00025647096 0.01031623 0.00092724117 0.00043402778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020167004 1.0790746e-05 2.337995e-05 0.0 0.0 0.0 0.0 0.010112727 0.010112727 8.362828e-05 5.395373e-06 0.0 0.0 0.0 0.0 0.0 0.0008569651 0.0 5.1256044e-05 3.5969153e-06 3.5969153e-06 0.0 0.0 0.00043252905 0.00043252905 2.6976864e-05 2.4279178e-05 0.0 9.891517e-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 5.7550646e-05 0.0 7.823291e-05 7.1938307e-06 0.008831326 0.010033595 0.0038612885 0.0038639863 8.992288e-06 9.891517e-06 1.528689e-05 8.9922884e-07 0.018344268 0.0005683126 0.0 0.007726174 0.00020772185 0.0094140265 0.00013758201 0.019847779 0.016689686 0.040429328 0.0008695543 0.0008830427 0.004911588 0.0048837117 0.009928386 0.009833966 0.04398218 0.013026229 3.776761e-05 0.0017130309 0.002523236 0.028362576 0.0012589203 0.0216894 0.028679105 0.04297235 0.0032489137 0.0032129446 0.015509899 0.015488317 0.011759215 0.0113105 0.06150545 0.009518337 0.0010556947 0.0052568917 0.002067327 0.025799774 0.0016114181 0.012696212 0.019971872 0.028575694 0.0018335276 0.0016338988 0.014163753 0.013917364 0.0072918464 0.00704276 0.040949084 0.007067039 0.0012831995 0.0019405358 0.0029188967 0.015950521 0.0020988001 0.020812651 0.015015323 0.028185429 0.0031931615 0.0022696536 0.009509345 0.010037192 0.010986778 0.011483152 0.033411745 0.009485066 0.0021464592 0.002974649 0.002043947 0.0016572787 0.0005907933 0.0035807292 0.002574492 0.0055788155 0.0037317995 0.0025735928 0.001092563 0.0040833983 0.00242522 0.0021878236 0.0050671543 0.0020349547 0.001588038 0.0033882943 0.0025061506 0.0024144293 0.0026158567 0.0031329133 0.0029674552 0.0044493843 0.0037515827 0.0039817854 0.0037470865 0.0044700666 0.003584326 0.0030798586 0.003281286 0.0026086627 0.0022013122 0.0027732216 703.0 5.9118066 4156.0 0.0048123198 0.0031280078 0.009865255 0.0043310877 0.0050529353 0.0040904717 0.013715111 0.0043310877 0.0067372476 0.0028873917 0.012752647 0.007940327 0.0016843119 0.0045717037 0.0043310877 0.0028873917 0.0036092396 0.0055341674 0.052935515 0.0062560155 0.0052935514 0.0062560155 0.0647257 0.010587103 0.0026467757 0.032483157 0.007459095 0.007940327 0.0043310877 0.032001924 0.008902791 0.0050529353 0.006977863 0.0040904717 0.007218479 0.008662175 0.009865255 0.0033686238 0.0048123198 0.010346487 0.0067372476 0.0016843119 0.0076997112 0.007218479 0.05437921 0.008902791 0.0096246395 0.008180943 0.049326275 0.022617903 0.013955726 0.014196343 0.007940327 0.007940327 0.009865255 0.011790182 0.032001924 0.0040904717 0.0052935514 0.013955726 0.007218479 0.0064966315 0.0055341674 0.013715111 0.006977863 0.007218479 0.019249279 0.0055341674 0.0076997112 0.008180943 0.008662175 0.0050529353 0.007940327 0.007218479 0.008662175 0.0026467757 0.007218479 0.0067372476 0.0067372476 0.007218479 0.009143407 0.0045717037 0.0055341674 0.008662175 0.006977863 0.0076997112 0.012512031 0.0060153995 0.0055341674 0.010827719 0.0122714145 0.007218479 0.008180943 0.008662175 0.017083734 0.011308951 6.089679 0.0 0.0 0.0 4.0 557568.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542796900.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1730560.0 512.0 4096.0 2.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.27430943 0.007193429 0.0038800922 0.0023542133 0.0051356726 0.003705706 0.002232143 0.002467564 0.0055803573 0.0023716518 0.0027727399 0.0021100726 0.004507882 0.002546038 0.002467564 0.002798898 0.008475168 0.0021362305 0.002232143 0.002066476 0.0029558453 0.0036882672 0.0020751953 0.002205985 0.0028250557 0.002118792 0.0020228794 0.0020315987 0.002633231 0.002040318 0.0022408622 0.003112793 0.0050484794 0.0023018974 0.002040318 0.0021100726 0.010811942 0.0023978096 0.0019444057 0.0022583008 0.002293178 0.002040318 0.0027378628 0.0019269671 0.0020141602 0.001953125 0.003452846 0.0019095285 0.0023542133 0.002432687 0.0023716518 0.0031651089 0.0025024414 0.002118792 0.0021623883 0.0018572126 0.002293178 0.0026681083 0.0021885464 0.0026070732 0.002232143 0.0027204242 0.0033220563 0.003391811 0.002179827 0.0031825474 0.0018572126 0.004725865 0.0072283065 0.0033220563 0.0026157924 0.0025285992 0.003479004 0.0028773716 0.0020926339 0.0021972656 0.005658831 0.002467564 0.0024414062 0.002432687 0.0068010604 0.004211426 0.0056501115 0.0041852677 0.00390625 0.002746582 0.004507882 0.004725865 0.0020141602 0.0022147042 0.0016828264 0.0026506695 0.0024414062 0.00226702 0.0033743721 0.0037144253 0.00390625 0.00466483 0.0020054409 0.0031302315 0.0032871792 0.0073154992 0.002406529 0.0029035297 0.004237584 0.004071917 0.0039847237 0.002232143 0.0038364956 0.0018572126 0.0047869002 0.003740583 0.0035051617 0.0023106167 0.005571638 0.004438128 0.008117676 0.0052751815 0.0028250557 0.0019008091 0.0031825474 0.0026506695 0.0021885464 0.002380371 0.0025896344 0.0022495815 0.0022408622 0.0018833706 0.0024414062 0.0033046177 0.0018223354 0.0029209682 0.0027029854 0.0068010604 0.0018920898 0.0018746512 0.0022234234 0.0039585656 0.0035487583 0.010498047 0.002746582 0.004673549 0.002467564 0.0023629325 0.01461356 0.0022583008 0.0020054409 0.0019967216 0.0020577568 0.002153669 0.0017089844 0.0020490375 0.0019008091 0.0017874582 0.0017874582 0.0017613003 0.0023280552 0.0018920898 0.002319336 0.0019269671 0.0025111607 0.0024762836 0.0019356863 0.0022408622 0.0028512138 0.0019880023 0.0021013531 0.0019182478 0.0019880023 0.0033307758 0.0019356863 0.0018484934 0.0017700195 0.0018048967 0.0016479492 0.0020228794 0.0021275112 0.0018659319 0.0019008091 0.0017787388 0.0017700195 0.002066476 0.0021623883 0.0017525809 0.0023978096 0.002040318 0.0021623883 0.001726423 0.002232143 0.0019182478 0.002179827 0.002118792 0.0051182336 0.0021623883 0.0039236885 0.0021100726 0.0031476703 0.0017961775 0.002293178 0.0024937221 0.0021885464 0.0030256 0.0020751953 0.0017177036 0.0021100726 0.0019792828 0.0017613003 0.0020751953 0.0023367745 0.001953125 0.0023018974 0.0019095285 0.001953125 0.0021711078 0.0020577568 0.0020926339 0.0023367745 0.0017874582 0.0016741072 0.0021623883 0.0019880023 0.0017961775 0.002293178 0.002066476 0.0021362305 0.0019182478 0.0016305106 0.0019008091 0.0019182478 0.0020228794 0.0020751953 0.0019444057 0.005998884 0.0019792828 0.0019705635 0.0026419503 0.002406529 0.0018484934 0.001813616 0.0019269671 0.0027901786 0.0021275112 0.0021275112 0.0019095285 0.0020490375 0.0021275112 0.0028424945 0.001813616 0.003060477 0.002467564 0.002380371 0.0019880023 0.0022147042 0.0029820034 0.0024239677 0.009364537 0.07200169 4.3989303e-06 0.0 4.39893e-05 4.3989303e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3989303e-06 8.797861e-06 4.3989303e-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 0.008107228 0.0 0.00027273368 8.797861e-06 0.00013636684 4.8388232e-05 0.0002463401 0.000189154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07023332 0.0001319679 0.0009281743 0.00047068554 0.004363739 0.0017859656 0.0018123592 0.0008401957 4.8388232e-05 3.079251e-05 1.3196791e-05 0.00013636684 9.6776464e-05 3.079251e-05 3.959037e-05 0.00011877112 0.014833192 8.79786e-05 0.00021994651 0.00014076577 0.0010293496 0.00044869087 0.0002903294 0.0002463401 0.00015396255 5.2787163e-05 0.00010557433 3.959037e-05 0.00010117539 6.158502e-05 7.918074e-05 0.00012756897 0.013513514 0.0 0.00040030264 0.00010557433 0.0023226351 0.0009765625 0.0004091005 0.00024194116 0.0 0.0 0.0 8.797861e-06 2.199465e-05 8.797861e-06 0.0 8.797861e-06 0.0193201 0.00014076577 0.0008709882 0.00019795186 0.00189154 0.0009105785 0.0013416737 0.0009589668 0.000567462 0.00037390908 2.6393582e-05 7.0382885e-05 0.00014956362 5.2787163e-05 6.598395e-05 8.79786e-05 0.0062640766 4.8388232e-05 0.00041789838 3.959037e-05 7.918074e-05 0.00018035613 0.00016276042 0.00042669624 0.00057625986 0.00016715935 3.079251e-05 0.00011877112 1.7595721e-05 3.079251e-05 9.237754e-05 0.00035631334 0.006554406 2.6393582e-05 9.237754e-05 9.237754e-05 0.0015396256 0.0014076576 0.0045440947 0.0031892243 0.00023754223 0.00015396255 2.199465e-05 3.959037e-05 3.5191442e-05 1.7595721e-05 3.079251e-05 3.5191442e-05 0.020054722 0.00077861064 0.0019839176 0.004781637 0.0021906672 0.0024370074 0.0050103813 0.0038270692 0.0009017807 0.0006158502 0.00032991977 0.0003343187 0.00052347267 0.0003959037 0.00042669624 0.0004530898 0.0016935881 0.00010117539 9.237754e-05 0.00012317004 0.0010425465 0.00076101493 0.0027889218 0.0018035613 2.199465e-05 0.0004222973 3.079251e-05 2.6393582e-05 1.3196791e-05 3.079251e-05 2.6393582e-05 3.079251e-05 0.010706996 0.0009017807 0.00072582345 0.0005278716 0.0019223324 0.0016188063 0.0036071227 0.0023446297 0.0009765625 0.0013592694 0.0003651112 0.0002331433 0.00043989302 0.0003343187 0.00034311655 0.00062024913 0.0068799267 0.00060705235 0.0008577914 0.0007830096 0.0004794834 0.0004970791 0.0012844877 0.0013988598 0.0018431518 0.00036951015 0.00054106844 0.00028153154 0.0004970791 0.00019355293 0.00043109516 0.0010733389 0.0021246832 0.00067743525 0.0006554406 0.00012756897 0.0004091005 0.001007355 0.0003959037 0.00027273368 0.001064541 0.00072582345 6.158502e-05 7.0382885e-05 0.00041789838 8.79786e-05 0.00029472832 0.0006158502 0.03590407 0.012167441 0.010003167 0.0034707559 0.0059693484 0.016944679 0.006558805 0.0061321086 0.018572284 0.012264217 0.0041217976 0.0019311303 0.008714281 0.0027493313 0.0052567217 0.011402027 0.033203125 0.029486028 0.030049091 0.029829146 0.02828952 0.02853586 0.030203054 0.03178227 0.031773474 0.028386297 0.029019743 0.029090125 0.029283678 0.029164907 0.029336466 0.030044693 651.0 10.620584 6914.0 0.018513162 0.00390512 0.0024587794 0.0027480475 0.0050621927 0.0044836565 0.0014463408 0.0026034133 0.002169511 0.0023141452 0.002169511 0.0028926816 0.0007231704 0.0017356089 0.017066821 0.0026034133 0.0028926816 0.00390512 0.006074631 0.005351461 0.0044836565 0.0031819497 0.00390512 0.0027480475 0.004339022 0.0057853633 0.0040497542 0.00390512 0.003615852 0.005496095 0.0046282904 0.004339022 0.0023141452 0.019380966 0.0028926816 0.0322534 0.027191207 0.014608041 0.011426092 0.008822679 0.010702922 0.01026902 0.0023141452 0.0069424356 0.019814868 0.008388776 0.007954874 0.010124385 0.023864623 0.0047729244 0.031819496 0.018657796 0.0066531673 0.0065085334 0.010124385 0.017500723 0.0034712178 0.00390512 0.0028926816 0.0040497542 0.0031819497 0.0028926816 0.0027480475 0.013161701 0.0023141452 0.026178768 0.0052068266 0.023864623 0.017066821 0.07882557 0.005351461 0.013884871 0.00390512 0.031819496 0.004194388 0.005351461 0.024009256 0.0046282904 0.026901938 0.023141453 0.009690483 0.006074631 0.044836562 0.032687303 0.046282906 0.017789992 0.012872432 0.006074631 0.0069424356 0.013884871 0.0013017067 0.0026034133 0.001880243 0.0024587794 0.0023141452 0.0024587794 5.897879 0.0 0.0 0.0 2.0 114688.0 57344.0 0.0 114.0 65.0 1.0 1.0 0.0 0.0 0.0 1175792300.0 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 -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 20480.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 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 -20480.0 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 -4.2645946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1963918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8896036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.994956 0.0 3.2299776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16203.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19743.0 0.0 808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 -2.0 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 -1.0 1.0 -1.0 0.0 -1.0 0.0 3.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 3.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 3483.0 37296.0 120.0 35796.0 808.0 49152.0 0.0 0.0 0.0 0.0 1040.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.012242811 0.005160434 0.005096456 0.0048907264 0.0051846257 0.0045594396 0.004725183 0.0045828316 0.0054247435 0.0047123875 0.004710188 0.0045076576 0.00517283 0.0044022934 0.004336516 0.004366506 0.006174687 0.004228953 0.004345913 0.004084002 0.0046656034 0.003930455 0.0041501797 0.003929655 0.0046907947 0.0041251886 0.0041393833 0.003969242 0.0043523107 0.0037994997 0.0038620783 0.003786904 0.0051316437 0.0042979294 0.00403242 0.003968842 0.004532249 0.0040778047 0.003960645 0.0038126954 0.004210759 0.0039326544 0.0037131293 0.004009028 0.004048015 0.003892468 0.0037335225 0.0036151628 0.0043703043 0.0036781414 0.0038392863 0.0037985002 0.004213558 0.0036863384 0.004433083 0.0036369555 0.0041545783 0.0038972665 0.00365295 0.0038964667 0.003955846 0.0035809746 0.0036011676 0.003424828 0.0050658663 0.0044412804 0.0039904346 0.004053013 0.0039504482 0.004093599 0.0039112614 0.0038382865 0.0045282505 0.004014626 0.0038930678 0.003963444 0.004055812 0.004097798 0.003775508 0.003731923 0.0045756344 0.0039226576 0.0038732747 0.0041673738 0.0038822715 0.0038670767 0.0040520136 0.0039928337 0.004260742 0.0037569143 0.0037745084 0.0037991 0.0039110617 0.003757714 0.0036847391 0.0035617813 0.0042659403 0.0039474494 0.0034736113 0.0036369555 0.0040248227 0.0037593136 0.0035877724 0.0034732115 0.004041417 0.0039130608 0.0037713095 0.0035529842 0.0038300892 0.0036097646 0.0034750109 0.0034788095 0.004050414 0.0034872068 0.003708331 0.0034928047 0.0044360817 0.0042653405 0.003509399 0.003459616 0.0038436847 0.0035573826 0.0033892402 0.0033860414 0.0038088965 0.003696735 0.0035639803 0.0034332252 0.005163633 0.0043169227 0.0038504824 0.0043269196 0.0041371845 0.0040370184 0.0038772733 0.0035841735 0.0039376523 0.004175971 0.0036071655 0.0046654036 0.0037269245 0.004079604 0.003451019 0.0034136318 0.004435482 0.0035909712 0.0037475177 0.003591171 0.0037437188 0.0036043667 0.0035745767 0.003530392 0.0036555491 0.0035471863 0.0035223947 0.0034536181 0.0035072 0.0034144316 0.0034700125 0.0033146658 0.003912261 0.0036199612 0.0034732115 0.0034538181 0.003875074 0.0036927364 0.0035799749 0.0034342248 0.0036329569 0.0035377895 0.0032652826 0.003416231 0.0036199612 0.0034474202 0.0033360585 0.0032324938 0.004068608 0.0034792095 0.0034478202 0.0033582507 0.0038346879 0.0034434216 0.0035585822 0.003480609 0.0038618785 0.0034878065 0.003407034 0.003401636 0.003635356 0.0032946726 0.0034540182 0.0034376236 0.004526051 0.003957246 0.00394545 0.003977239 0.0038424851 0.003960045 0.0037475177 0.0035613813 0.0040112273 0.003675742 0.0034726118 0.0035835737 0.0035639803 0.003369447 0.0033930389 0.0035237942 0.0040866015 0.0035105986 0.0037947015 0.003632157 0.0037487173 0.0033002705 0.0035135977 0.0033328596 0.003998032 0.0035233942 0.0035635806 0.0035247938 0.0037501168 0.0034914052 0.0034392232 0.0033892402 0.0042265537 0.0037301236 0.0033788437 0.0033862412 0.0039374526 0.0033582507 0.0032282954 0.003249088 0.00414858 0.0039902343 0.0033612498 0.004391497 0.0037693102 0.003334259 0.003316265 0.003339857 0.0043041273 0.003451019 0.0034738113 0.00333146 0.0041611763 0.0033448555 0.00338964 0.0034814086 0.0038926678 0.0034182302 0.0033260619 0.0033768443 0.003568379 0.0032898742 0.0034178304 0.009407581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018669284 1.8099305e-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 0.0023021116 0.00023049115 1.7999308e-06 2.9998847e-07 2.9998848e-06 1.6999347e-06 1.6099382e-05 7.999693e-06 4.999808e-07 2.9998847e-07 1.9999231e-06 1.9999231e-07 2.0999194e-06 1.9999231e-07 6.999731e-07 0.0005023807 0.0021758163 0.00089936546 4.7998155e-06 3.799854e-06 1.4899428e-05 1.7499327e-05 1.2899504e-05 2.5999002e-06 0.00041268417 1.2999501e-06 1.7999308e-06 7.0997276e-06 2.1999156e-06 1.5999385e-06 3.89985e-06 0.00012399524 0.00077607017 4.4398294e-05 5.9997697e-06 5.699781e-06 3.2998734e-05 2.9098883e-05 9.7996235e-06 4.8998118e-06 0.00016629361 2.499904e-05 1.2999501e-06 1.1399562e-05 2.2999118e-06 1.5999385e-06 1.5999385e-06 0.00011029576 0.0014170456 0.0007128726 0.00029218878 2.9298875e-05 0.0006596747 0.00066277455 6.849737e-05 3.6298607e-05 1.1999539e-05 5.9997697e-06 2.1999156e-06 4.5498255e-05 2.6998964e-06 2.0999194e-06 6.799739e-06 0.0009590632 0.0008432676 0.00048838125 0.0004505827 5.3997926e-05 0.00021769165 0.00033738706 0.00023359102 9.829622e-05 7.519711e-05 4.399831e-06 3.4998657e-06 9.399639e-06 2.8198918e-05 1.3999462e-06 2.1999156e-06 0.00063397567 0.0006224761 0.00029548866 0.000468682 0.0008634668 0.00032408757 0.00019189263 0.0001850929 7.659706e-05 5.629784e-05 6.959733e-05 2.4199071e-05 3.2198765e-05 0.00042778358 1.2199532e-05 2.3099114e-05 0.0014466444 0.0008024692 0.0004241837 0.0004006846 0.00039748475 0.00031168803 0.00020389217 0.0003014884 0.00017379332 0.00014129457 4.8598133e-05 1.5199416e-05 2.5399024e-05 0.00015299412 8.499674e-06 2.1599171e-05 0.00087136653 0.000833168 0.0004552825 0.00023779087 0.0003258875 0.00029528866 0.00016709359 0.0002372909 0.00018689282 0.00023209109 9.8096236e-05 2.3599094e-05 5.549787e-05 0.00012709512 1.639937e-05 3.2498752e-05 0.0007718704 0.00018919274 0.00021789163 9.989616e-05 8.529673e-05 7.489712e-05 7.1397255e-05 3.439868e-05 4.5898236e-05 3.3298722e-05 7.1997233e-06 5.799777e-06 7.1997233e-06 2.809892e-05 3.199877e-06 2.6998964e-06 0.0003223876 0.00035028654 4.6198227e-05 5.339795e-05 5.109804e-05 0.0001276951 5.5097884e-05 4.2398373e-05 3.1298798e-05 4.2398373e-05 2.0999194e-05 1.38994665e-05 2.0699204e-05 2.9298875e-05 1.20995355e-05 2.1899159e-05 0.00010519596 0.0007753702 8.129688e-05 9.9596175e-05 9.789624e-05 0.0002557902 0.00018929272 0.00012669513 0.00015059422 0.00035328642 4.3798318e-05 3.2498752e-05 6.979732e-05 0.00017659322 8.359679e-05 0.00016059383 0.0003751856 0.001483943 0.00023039115 0.00026428985 0.00031828778 0.00052467984 0.00057637785 0.00034498677 0.0003674859 0.0009955617 0.00013229492 0.000115295574 0.0002005923 0.00049858086 0.00026458985 0.0004759817 0.000988762 0.07124706 0.06409524 0.062593795 0.05959421 0.0625683 0.060342684 0.058231864 0.057906378 0.061834324 0.057249703 0.05629294 0.05617054 0.058638148 0.0571978 0.057397995 0.05542787 23782.0 5.755992 136889.0 0.015304371 0.010738628 0.01024918 0.009920446 0.011542198 0.010190738 0.009438304 0.010008109 0.011206159 0.010161518 0.009715901 0.009847394 0.010351453 0.01061444 0.010198044 0.009350642 0.012221581 0.0093725575 0.010395284 0.009810869 0.0113303475 0.009430999 0.009664765 0.009577103 0.012046256 0.010424505 0.00984009 0.01044642 0.0106290495 0.008788142 0.009606323 0.008466714 0.013032457 0.01141801 0.010519472 0.011374179 0.009905837 0.010380673 0.010607135 0.009752427 0.012345769 0.010636355 0.009862005 0.010081161 0.010965088 0.010979699 0.00984009 0.009920446 0.012930185 0.01003733 0.010877426 0.011396094 0.010672881 0.00967207 0.010110381 0.010921258 0.011264601 0.009767038 0.00984009 0.009533271 0.009767038 0.009518662 0.009825479 0.009635544 0.012243496 0.010987004 0.009233759 0.010271096 0.01141801 0.012345769 0.009430999 0.008963467 0.011301127 0.011352263 0.010059245 0.00947483 0.011578725 0.009949667 0.009788953 0.0101469075 0.011900153 0.009233759 0.01082629 0.010767848 0.014237813 0.011856321 0.009357947 0.009087655 0.010804375 0.009328726 0.008612818 0.008737006 0.0103879785 0.009942362 0.009102265 0.008992688 6.5764728 0.0 1.0 0.0 85.0 5001711.0 258048.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1451306400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 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 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 142336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.9654326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4580722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.404585 -5.013272 5.795037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22200.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61748.0 -3536.0 142320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 142320.0 114688.0 0.0 0.0 6744.0 41459520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.0325 0.004619513 0.0036945373 0.0042115934 0.0041412213 0.0033283636 0.0039324905 0.004139432 0.004239027 0.0031381203 0.002774332 0.0036694894 0.0045336355 0.0035484256 0.0038072518 0.0055635734 0.003362357 0.0027433205 0.0025453244 0.0036205868 0.002871541 0.0030737119 0.0032579915 0.0036993083 0.0036551766 0.003853769 0.002973521 0.0035406726 0.004041627 0.0039181774 0.003871064 0.0044465647 0.0034261688 0.0025793177 0.0025274332 0.0034547949 0.0031500477 0.0027659829 0.0032711118 0.0040046517 0.0029854486 0.0028369513 0.0027051526 0.003686188 0.0030027432 0.0035913645 0.0032931776 0.0042533395 0.0032770755 0.0030760972 0.0034631442 0.004242605 0.0030969705 0.002646708 0.0033235925 0.0036092557 0.0041447994 0.003724356 0.004097686 0.0042080153 0.0043237116 0.004072638 0.0044650524 0.005031608 0.0042002625 0.0034655295 0.004419728 0.004536021 0.0029204437 0.0044525284 0.0034822281 0.0043934877 0.0028291985 0.0029932014 0.002822042 0.0031977575 0.0033074904 0.003931298 0.0039229486 0.0042742128 0.0038144083 0.0031411021 0.0026282205 0.003525167 0.0028005724 0.0034530058 0.0039020753 0.0044119754 0.0029824667 0.003801288 0.0028518606 0.0037875716 0.0034559877 0.0041227336 0.004376789 0.0046564885 0.0033277671 0.0033826337 0.002731393 0.0037959209 0.003785186 0.004095897 0.0036414599 0.0040744273 0.0038639074 0.0037231632 0.0034160304 0.0033808444 0.0035854008 0.003864504 0.0037249522 0.004564647 0.0040159826 0.0037392653 0.0040189647 0.0041269083 0.005730558 0.0054377387 0.00385854 0.0037040792 0.004257514 0.0041012643 0.0039032681 0.0037726623 0.0044757873 0.0044614743 0.0047137407 0.0042801765 0.0038209686 0.0035197996 0.0029460879 0.005654819 0.0030677482 0.0039724475 0.003027791 0.003816794 0.0027176766 0.0043266937 0.0027445133 0.008355796 0.0035019084 0.0045479485 0.0039658872 0.004170444 0.0034070848 0.0032257873 0.0027975906 0.0037589455 0.003217438 0.0034398856 0.0028959925 0.0037046755 0.002755248 0.0032025287 0.002720062 0.0034351144 0.0037458255 0.0039271233 0.004127505 0.004202648 0.003364146 0.0034589695 0.0028965888 0.004007634 0.002954437 0.0030808684 0.0029633825 0.0040463977 0.002893607 0.0029007634 0.0026622138 0.0036617366 0.0029347567 0.0032090887 0.0038024809 0.004114981 0.0029466841 0.0030576098 0.0031238073 0.0033396946 0.0036408636 0.0032567987 0.003949785 0.0038430344 0.0035752624 0.0033796518 0.0036688931 0.0035537928 0.0040201573 0.0039778147 0.0042610927 0.0044191317 0.0044459687 0.004222925 0.0034786498 0.004424499 0.0033212071 0.003380248 0.003931298 0.004623688 0.0037458255 0.0039831824 0.0038627146 0.003523378 0.004838383 0.0031542224 0.003996899 0.0040302956 0.0039563454 0.0041239266 0.003588979 0.003834685 0.0032740936 0.0035663168 0.0031190363 0.003963502 0.0035215886 0.0035227814 0.00400167 0.003920563 0.003432729 0.003864504 0.0036993083 0.0041752146 0.004671994 0.0041239266 0.00343094 0.004003459 0.00411021 0.004226503 0.003098163 0.0039229486 0.006402672 0.00446386 0.0040332777 0.0042127864 0.0041585164 0.0040935115 0.0036897662 0.0040535545 0.0053697517 0.0040106154 0.00459208 0.0037297234 0.0048300335 0.004097686 0.0040469943 0.004219346 0.0050435355 0.00423187 0.004677958 0.003911617 0.005008349 0.0044215173 0.0046892893 0.010138955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004870874 1.7609165e-05 2.3279912e-05 0.0 2.148915e-05 7.4615104e-06 1.6415323e-05 9.849194e-06 5.073827e-06 8.953813e-07 5.670748e-06 2.089223e-06 0.0 5.9692087e-07 6.5661293e-06 7.16305e-06 0.0011251958 1.0446115e-05 7.909201e-05 2.6861437e-06 6.0587467e-05 1.4923021e-05 0.00032024804 0.00013878409 2.089223e-06 1.1938417e-05 1.7907626e-06 1.4923021e-06 1.7907626e-06 5.9692087e-07 2.6861437e-06 5.9393624e-05 0.004744625 5.8498244e-05 0.00027428512 5.9393624e-05 0.0007360034 0.00016295939 0.0007234681 0.00038740164 4.6261364e-05 8.506122e-05 2.3876833e-05 2.0295309e-05 2.2682992e-05 3.7904472e-05 2.2682992e-05 0.0005408103 0.00164004 4.0889077e-05 0.00012565184 5.3722877e-05 0.00016415323 5.640902e-05 0.0004781336 0.00024294679 2.4473755e-05 1.1639956e-05 1.6116863e-05 7.16305e-06 1.9399928e-05 2.5966057e-05 3.7307553e-05 0.00011222112 0.0038483487 8.356892e-05 0.00032860492 0.00012326415 0.00060677005 0.00020444539 0.0008327046 0.0005291703 5.819978e-05 0.0002799559 7.5212025e-05 4.4470602e-05 5.0439812e-05 7.103358e-05 9.311965e-05 0.00010565499 0.0045995736 0.00019340236 0.00033696182 0.00026294362 0.0013060628 0.00039098316 0.0016773476 0.000931495 0.00011520572 0.0002790605 0.000100282705 8.983658e-05 0.0001719132 0.00015728864 0.00012027955 0.00026980822 0.0012532353 7.043666e-05 0.00015878094 0.00012207031 0.00021578689 8.476276e-05 0.00040471234 0.00028920814 6.8645895e-05 4.4470602e-05 8.8642744e-05 4.1485997e-05 5.551364e-05 6.297515e-05 4.29783e-05 5.2529034e-05 0.0018803007 0.0002420514 0.00010416269 0.0004124723 0.00046470287 0.00027637434 0.00022742685 0.00026861439 0.0005924439 0.00028144818 7.730125e-05 9.789502e-05 0.00043605067 9.610425e-05 0.0002790605 0.00037606014 0.011508932 0.0016412339 0.0011977217 0.0015642311 0.0038883423 0.0034316978 0.0016773476 0.0025446736 0.007181853 0.00043545375 0.0006461668 0.0007879355 0.0047344775 0.000855686 0.0029461028 0.00569164 0.008224077 0.0016630215 0.0013072566 0.0018459777 0.002809408 0.002963115 0.0017107752 0.0023214251 0.005106956 0.00059692084 0.0007458526 0.0010225254 0.0028288078 0.0012156293 0.0024840862 0.004718958 0.0520703 0.051492184 0.04755728 0.05638186 0.048908412 0.05015329 0.050844226 0.060942635 0.05100808 0.052575596 0.05121342 0.05594939 0.054692574 0.057094585 0.060717892 0.065146446 6639.0 6.824823 45310.0 0.017744428 0.0061134407 0.0058927387 0.008033547 0.0099095125 0.006952108 0.008739793 0.009357758 0.0076804236 0.006709336 0.0072610904 0.008364599 0.006598985 0.0072610904 0.010637828 0.009269477 0.008099757 0.007327301 0.0098653715 0.008474951 0.0067976164 0.0063120723 0.008651512 0.008761862 0.009512249 0.009092916 0.010417126 0.009534319 0.009004635 0.008320459 0.0099536525 0.011851688 0.019885235 0.011079232 0.0071507394 0.009137056 0.0064224233 0.006488634 0.0098653715 0.009357758 0.0075480025 0.0068858974 0.0064224233 0.007481792 0.007702494 0.007834915 0.0075259325 0.009159126 0.011123372 0.007128669 0.0073935115 0.009777091 0.009070845 0.006974178 0.011653056 0.01202825 0.0096226 0.008364599 0.007371441 0.008806003 0.007812845 0.009357758 0.009291547 0.014102847 0.00849702 0.018274112 0.010924741 0.015250497 0.015272567 0.027234606 0.009313617 0.011366145 0.009247406 0.018406533 0.008254249 0.006974178 0.01688369 0.01205032 0.016530568 0.024453763 0.012933128 0.008364599 0.020326639 0.019885235 0.027984992 0.0144339 0.009975723 0.008143897 0.011917899 0.012315162 0.008188038 0.009070845 0.009600529 0.010152284 0.010328846 0.009114985 6.479704 0.0 0.0 0.0 23.0 1676800.0 1691648.0 1.0 0.0 72.0 0.0 1.0 0.0 0.0 0.0 1542899500.0 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 148480.0 1024.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148480.0 0.0 1448448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.350141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3142047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.606593 0.0 7.9822044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71562.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148374.0 0.0 1448056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 225536.0 1448056.0 241664.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 211392.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 211424.0 0.0 0.0 292.0 155648.0 0.0 0.0 0.0 0.0