Input: 0.4376314 0.0054532206 0.003860707 0.005137406 0.0038950508 0.0019008624 0.0013812237 0.0011960651 0.006165484 0.001101246 0.0012012913 0.001025092 0.002506361 0.000865318 0.00070031773 0.0027355696 0.0027639407 0.0006211774 0.0007802048 0.00076825905 0.0013588255 0.0015126267 0.0005539827 0.0005315845 0.0011953184 0.00058758 0.00049798714 0.0006525349 0.0010855672 0.00050843967 0.0006547747 0.000646562 0.002742289 0.00045991017 0.00057339447 0.00054054376 0.0030043481 0.00092131353 0.0004987338 0.00053905055 0.0013453866 0.0008339605 0.00075332687 0.0014633505 0.0025309992 0.001118418 0.0008787569 0.00069434487 0.003225344 0.0018605457 0.0018530797 0.0056234472 0.0020628762 0.0015529434 0.0018792108 0.0017806587 0.0026691216 0.0016149118 0.001574595 0.0022614738 0.0020031477 0.0018008171 0.0012363818 0.0012259294 0.0039092363 0.0017209301 0.001671654 0.001994935 0.003288059 0.016422376 0.0032753667 0.0010952731 0.0013834635 0.0012460878 0.00072868884 0.00073988794 0.0017216767 0.0026900265 0.0008683044 0.00081902836 0.0075967303 0.001793351 0.0010489834 0.0023995962 0.0016410431 0.0072570243 0.0019277403 0.0013894364 0.0016947988 0.0030633302 0.0018224687 0.0015760883 0.0013573323 0.0020710889 0.0011781465 0.0009407253 0.0010728749 0.0013424001 0.00071077025 0.001032558 0.0043392824 0.0023734649 0.0013110426 0.00081902836 0.0048753466 0.0016529888 0.004311658 0.0007458608 0.0020972202 0.00097432267 0.0022510213 0.0022226502 0.002078555 0.0014640972 0.0022980575 0.0022667001 0.006243131 0.0045669978 0.00095267105 0.0008347071 0.0012640064 0.0009041416 0.0005935529 0.00048977445 0.0012677393 0.0012363818 0.0007704989 0.0005808606 0.002259234 0.0015902738 0.0005114261 0.004915663 0.0025653432 0.009256438 0.0005136659 0.000483055 0.0012184633 0.005238944 0.0008548655 0.024378225 0.0012154769 0.016774029 0.0005465166 0.00050396 0.0013842102 0.0004210866 0.0004987338 0.0004128739 0.0010228521 0.0023324015 0.00046812286 0.00048529482 0.0013319476 0.0006749331 0.00045991017 0.00046961606 0.0011363365 0.0005524895 0.0004218332 0.00047708213 0.0010056802 0.0018702516 0.00032776064 0.000667467 0.0012192099 0.00043900515 0.00041959336 0.00042332642 0.0009354991 0.00042631282 0.00047633552 0.00040764766 0.001167694 0.00036733085 0.00044647124 0.00048753465 0.001365545 0.00063386967 0.00050396 0.0006831458 0.0010766078 0.0008929425 0.00043601874 0.0005054532 0.0042914995 0.0017007717 0.0050903694 0.0005942995 0.001150522 0.0007428744 0.0006525349 0.00058310037 0.006701548 0.000827241 0.0009459516 0.0038211367 0.0018486 0.0004121273 0.0016724006 0.0013573323 0.0017769256 0.0013244816 0.00043900515 0.0007249558 0.0012356353 0.00035463853 0.0005435302 0.00071898295 0.0016850929 0.0005741411 0.0012423547 0.0006510417 0.0013647984 0.00042855265 0.0006510417 0.00055547594 0.0026959993 0.0005315845 0.00052934466 0.0013640517 0.0015029208 0.00050619984 0.00058160716 0.00041810016 0.0021860665 0.0005480098 0.0004539373 0.00074660743 0.0019613376 0.0010512233 0.0004546839 0.00043900515 0.02515395 0.001751541 0.0005621954 0.0023876505 0.003124552 0.0005166523 0.00047782875 0.00046737623 0.0030678099 0.0005315845 0.0006137113 0.000562942 0.0027714067 0.00044945767 0.00084068 0.0020031477 0.0042646215 0.00076153956 0.0023898904 0.0054054377 0.009063068 0.005839963 0.0067560505 0.0681675 0.34736037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.04605015e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.2788949e-05 1.3449216e-05 1.4943573e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 8.9661435e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0026924582 2.3162538e-05 3.1381504e-05 6.3510183e-06 2.241536e-05 1.1581269e-05 4.1842006e-05 2.4656896e-05 2.2788949e-05 3.7358933e-07 6.3510183e-06 6.724608e-06 1.3822805e-05 1.681152e-05 2.6151254e-06 0.00013710729 0.0018955922 1.5317162e-05 3.2128683e-05 9.7133225e-06 2.4656896e-05 1.5317162e-05 5.1181738e-05 2.6524842e-05 6.3510183e-06 1.3449216e-05 9.339733e-06 2.0173824e-05 1.8305876e-05 1.681152e-05 2.6151254e-06 0.00013785445 0.002399938 5.454404e-05 4.520431e-05 4.968738e-05 0.00015914906 5.7906345e-05 5.043456e-05 8.5925545e-05 2.3909717e-05 1.75587e-05 1.4569984e-05 2.9139968e-05 2.9139968e-05 1.4196395e-05 1.0086912e-05 1.9053055e-05 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0011039565 3.0634325e-05 4.968738e-05 3.1381504e-05 6.089506e-05 3.885329e-05 3.437022e-05 4.6698668e-05 3.0260735e-05 9.7133225e-06 1.4569984e-05 6.3510183e-06 6.3510183e-06 7.0981973e-06 3.2128683e-05 2.727202e-05 0.003314858 2.8766379e-05 8.667272e-05 0.00033324168 0.0008756934 0.00051144377 0.0023775224 0.0013105513 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.002800052 0.00012926191 0.0004767 0.0015190142 0.0023211106 0.0014043223 0.0021720484 0.0016142795 0.00013598651 4.7445843e-05 5.529122e-05 8.443119e-05 8.0321704e-05 4.7819434e-05 4.7072255e-05 7.172915e-05 0.0032879596 0.00011618628 0.00023162538 0.00037022703 0.0009108108 0.00046138282 0.0006339811 0.0004262654 0.0006384642 0.00023311975 7.733299e-05 0.00012888832 0.00014868854 9.414451e-05 0.00024395384 0.0011783007 0.005884779 0.0010796732 0.001336329 0.013433152 0.0013195175 0.0010860242 0.001764836 0.0014181451 0.002251623 0.0011047036 0.0011659723 0.0012694566 0.0011222623 0.001130855 0.0017525075 0.005726377 0.01238598 0.0011917499 0.0021825088 0.0021922223 0.0037400026 0.0026984357 0.0025732834 0.0021896071 0.009229524 0.0019490155 0.0010897601 0.0023285823 0.0019460268 0.001252645 0.0034467352 0.016168572 0.040742904 0.0046717348 0.005822016 0.006000218 0.014733242 0.012573149 0.008536516 0.008509992 0.02856576 0.004487555 0.0032946842 0.0074471296 0.00826529 0.005177948 0.016501814 0.045021996 0.04904294 0.007113888 0.0083288 0.010005096 0.019037364 0.019575708 0.013479477 0.011784501 0.031510018 0.004403871 0.005106219 0.009287804 0.012715486 0.007254731 0.019914927 0.044583775 0.00042850696 0.00023984435 0.0002491841 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002734674 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3891.0 14.864817 57839.0 0.01599267 0.0012794136 0.002316776 0.0015214648 0.0025242483 0.001210256 0.0017289373 0.0028008784 0.0054288628 0.004771867 0.0014868861 0.0068120128 0.002835457 0.0019364097 0.009699338 0.0062933313 0.017116478 0.017047321 0.019139335 0.017566003 0.013693183 0.01348571 0.015180069 0.01573333 0.016355745 0.013243659 0.0101661505 0.015352963 0.01046007 0.012137139 0.009612891 0.0072269575 0.003112087 0.011998825 0.0063797785 0.010235309 0.011618458 0.011462854 0.008506371 0.009854943 0.00688117 0.011410986 0.005705493 0.0055498886 0.00937084 0.008886738 0.009094209 0.0074690087 0.0118777985 0.027351787 0.008039558 0.017254794 0.011065198 0.008195163 0.009439997 0.011808641 0.007192379 0.009232525 0.0063970676 0.0050830753 0.0046681305 0.004892892 0.004650841 0.0047199987 0.0024723802 0.02092014 0.007192379 0.016027248 0.017929079 0.04405332 0.009716627 0.010667543 0.013174501 0.021507978 0.006500804 0.008904027 0.026055085 0.011756773 0.022925708 0.024983143 0.010010546 0.0053078374 0.025104169 0.019173915 0.030463874 0.012915161 0.009561023 0.008713843 0.0068120128 0.009958679 0.0059475442 0.0028008784 0.0015214648 0.0030083507 0.0015214648 0.00082988985 6.253845 0.0 0.0 0.0 66.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.626921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6530695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3393574 0.0 0.0 0.0 0.0 0.0 0.0 -3.812825 6.7841635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6848.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.48435187 0.0055663683 0.0019852084 0.0017127286 0.0030751266 0.0015181004 0.00070066174 0.00054495916 0.00358116 0.00062281045 0.0011288439 0.0010509926 0.0031919035 0.002802647 0.0015570261 0.005527443 0.0032697548 0.0009731413 0.0005838848 0.00031140522 0.0027247956 0.00089529 0.00031140522 0.0024912418 0.0032697548 0.00019462826 0.00023355392 0.00027247958 0.0029194239 0.0012066952 0.0008563643 0.00038925651 0.0031919035 0.00070066174 0.00054495916 0.0005060335 0.014791748 0.0021019853 0.00035033087 0.00046710783 0.0013234721 0.0013623978 0.00077851303 0.0013623978 0.0013234721 0.00070066174 0.0011677695 0.001012067 0.0016348774 0.0035422344 0.002335539 0.0008174387 0.0012845466 0.0013623978 0.0011677695 0.0009731413 0.0015181004 0.002452316 0.00070066174 0.00042818216 0.0012066952 0.00046710783 0.00042818216 0.0011288439 0.01405216 0.0051381863 0.0015570261 0.0016348774 0.008758272 0.012028026 0.0013623978 0.002335539 0.002335539 0.0013234721 0.00066173606 0.0014013235 0.0033865317 0.007824056 0.0005838848 0.00070066174 0.0022576877 0.0012066952 0.0012845466 0.004048268 0.0025690931 0.007940833 0.003152978 0.0015959517 0.0014791748 0.00046710783 0.0011677695 0.0010899183 0.0008563643 0.00268587 0.0017127286 0.0013234721 0.00093421567 0.0021409108 0.0019073569 0.0026469443 0.0033476062 0.0057609966 0.003152978 0.0015570261 0.002452316 0.00268587 0.0014013235 0.0013234721 0.0052160374 0.002452316 0.0026080187 0.0035422344 0.0016348774 0.00027247958 0.003152978 0.0016738031 0.007045543 0.0052160374 0.00077851303 0.0007395874 0.001012067 0.0012845466 0.00054495916 0.0026469443 0.0014791748 0.0018295057 0.00077851303 0.00042818216 0.0027247956 0.0022576877 0.00179058 0.0076294276 0.0024912418 0.0017127286 0.0014402492 0.0014013235 0.003152978 0.021720514 0.002024134 0.018411834 0.00077851303 0.0032697548 0.00035033087 0.002335539 0.00093421567 0.00015570261 0.00070066174 0.00019462826 0.0008563643 0.0025301673 0.0005060335 0.00054495916 0.0012845466 0.0010509926 0.0011677695 0.00031140522 0.0008563643 0.00089529 0.00027247958 0.00054495916 0.0010509926 0.0032697548 0.0010899183 0.00046710783 0.0014013235 0.00035033087 0.00035033087 0.00023355392 0.00038925651 0.00019462826 0.00062281045 0.00035033087 0.00035033087 0.00023355392 0.00031140522 0.00027247958 0.00066173606 0.00035033087 0.00023355392 0.00031140522 0.00179058 0.00046710783 0.0010899183 0.0020630595 0.0019852084 0.0010509926 0.0015570261 0.0005838848 0.0012845466 0.00023355392 0.0016738031 0.00046710783 0.0028415725 0.0019462826 0.0014402492 0.0040093423 0.0024133904 0.0005060335 0.0015181004 0.004593227 0.0040093423 0.0017516543 0.0011677695 0.0012456209 0.0017516543 0.00042818216 0.0008174387 0.00054495916 0.0025301673 0.0011288439 0.0019852084 0.00042818216 0.0008563643 0.0008174387 0.0018684313 0.0005838848 0.0014402492 0.00046710783 0.00031140522 0.00070066174 0.0019852084 0.00035033087 0.0008174387 0.00054495916 0.0017516543 0.0013623978 0.002024134 0.00019462826 0.00268587 0.0028415725 0.00027247958 0.00023355392 0.0032697548 0.0015959517 0.0014791748 0.0031919035 0.004320747 0.00089529 0.0008563643 0.00046710783 0.0039704167 0.0008174387 0.0033476062 0.002452316 0.002024134 0.00023355392 0.0012066952 0.0015181004 0.0031919035 0.0016348774 0.0013623978 0.00093421567 0.002452316 0.00042818216 0.0013623978 0.018256132 0.16666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.110432945 0.0006510417 0.0006713867 0.0005493164 0.0025634766 0.0009969076 0.0037638347 0.0018920898 0.00044759116 0.00032552084 0.00032552084 0.0004679362 0.00059000653 0.00032552084 0.000386556 0.00061035156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06384277 0.0008748372 0.0020955403 0.0006510417 0.004740397 0.00081380206 0.0019327799 0.0013224283 0.0016886393 0.0006510417 0.00059000653 0.0005086263 0.0008544922 0.00028483072 0.0006713867 0.0018107096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02138265 0.00018310547 0.00030517578 0.00034586588 0.0038452148 0.0016479492 0.009012858 0.0040486655 0.00016276042 8.138021e-05 0.00010172526 8.138021e-05 0.00018310547 0.00010172526 6.1035156e-05 0.00012207031 0.024963379 0.000773112 0.0022176106 0.0008748372 0.0022786458 0.0013427734 0.0008951823 0.0006510417 0.0033976238 0.00018310547 0.00012207031 0.00034586588 0.0013631185 0.00040690103 0.00083414715 0.0010172526 0.039733887 0.0017293295 0.001953125 0.0018513998 0.008199056 0.0037841797 0.009318034 0.005106608 0.0012410482 0.0017293295 0.0014444987 0.0013224283 0.0018513998 0.0009969076 0.0014241537 0.0016479492 0.022237143 0.0014444987 0.001546224 0.0012613932 0.0006713867 0.0011800131 0.0024414062 0.0016886393 0.0012817383 0.0011800131 0.0006510417 0.00071207684 0.0008951823 0.0017496744 0.0014444987 0.0012817383 0.018127441 0.0011800131 0.00081380206 0.0013834635 0.0041503906 0.002380371 0.0012613932 0.0014851888 0.0010986328 0.0015055338 0.0012613932 0.0013224283 0.0016682943 0.00095621747 0.0013224283 0.0017496744 0.013041179 0.0013427734 0.0019327799 0.00091552734 0.0048421226 0.0014038086 0.0013427734 0.001159668 0.0045166016 0.00083414715 0.0012817383 0.001566569 0.0016886393 0.0006510417 0.0016072592 0.003540039 0.039408367 0.009216309 0.017659506 0.011413574 0.03108724 0.019327799 0.008870442 0.010314941 0.055318195 0.004333496 0.002746582 0.0067952476 0.019673666 0.008931478 0.016642252 0.029927572 0.0049031577 0.002380371 0.0016479492 0.0014648438 0.0040486655 0.0019327799 0.002298991 0.0018310547 0.0061442056 0.0012410482 0.00197347 0.0024617512 0.0020955403 0.0011393229 0.0022583008 0.0038452148 93.0 12.548388 1167.0 0.011139674 0.000856898 0.000856898 0.003427592 0.012853471 0.0 0.001713796 0.001713796 0.000856898 0.000856898 0.000856898 0.005141388 0.001713796 0.000856898 0.017137961 0.002570694 0.002570694 0.002570694 0.0094258785 0.0042844904 0.0 0.005141388 0.001713796 0.003427592 0.0042844904 0.003427592 0.001713796 0.000856898 0.0 0.000856898 0.0 0.002570694 0.0059982864 0.013710368 0.0059982864 0.020565553 0.017137961 0.0094258785 0.003427592 0.011996573 0.001713796 0.015424165 0.001713796 0.0042844904 0.011996573 0.0094258785 0.003427592 0.0077120825 0.0094258785 0.0059982864 0.011139674 0.027420737 0.010282776 0.0059982864 0.0059982864 0.011139674 0.001713796 0.002570694 0.002570694 0.0042844904 0.001713796 0.0042844904 0.005141388 0.0094258785 0.003427592 0.035989717 0.010282776 0.025706941 0.027420737 0.09340189 0.010282776 0.010282776 0.010282776 0.044558696 0.006855184 0.0077120825 0.051413883 0.016281063 0.040274207 0.042844903 0.0094258785 0.0 0.041988004 0.020565553 0.07197943 0.018851757 0.005141388 0.001713796 0.005141388 0.011996573 0.0042844904 0.001713796 0.0 0.000856898 0.0 0.000856898 5.578717 0.0 0.0 0.0 4.0 25690.0 159744.0 1.0 0.0 44.0 0.0 0.0 0.0 0.0 0.0 1542285600.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 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 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.098359 0.0 0.0 0.0 0.0 0.0 5.1276555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8783624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.706391 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98315.0 0.0 0.0 0.0 0.0 0.0 2326.0 0.0 0.0 448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9788.0 0.0 16704.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 17280.0 16704.0 135168.0 0.0 0.0 0.0 0.0 448.0 155648.0 56.0 16608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212.0 16384.0 64.0 83328.0 0.0 0.0


Input: 0.018471448 0.006774617 0.006295906 0.005467017 0.0059844335 0.0059322175 0.0076451334 0.006508423 0.0047235726 0.0031154547 0.0049601896 0.0056119813 0.0039947345 0.0040998976 0.0065591787 0.007892705 0.005892416 0.0069509842 0.0054440126 0.005378286 0.0063251182 0.0068213562 0.007876272 0.0074479524 0.0041393335 0.003137729 0.005978226 0.0062827608 0.0038892063 0.0036748636 0.0065781665 0.0068198955 0.0072595356 0.007898547 0.0068093063 0.0070032007 0.009979168 0.008372511 0.005911404 0.0063630934 0.0078576505 0.007718163 0.0075509246 0.00696559 0.0093288375 0.00933468 0.0071131107 0.006493087 0.0076783616 0.007867875 0.0070744045 0.0075845183 0.010266541 0.009597222 0.006711446 0.0067837457 0.0075374143 0.008502139 0.0076067927 0.0072894776 0.00975168 0.008934841 0.0071934434 0.0062601217 0.005237338 0.004078719 0.0033571837 0.004435835 0.0024676798 0.0022084236 0.0022920428 0.002438833 0.0031705922 0.004438756 0.0019367525 0.002883585 0.0019203208 0.0024808252 0.0021635103 0.0019425949 0.004570575 0.0039863363 0.0038143508 0.0032447176 0.00234645 0.0019498979 0.002399762 0.0023964755 0.0038903018 0.00565726 0.0019612175 0.0029456604 0.0017651323 0.00329949 0.0025476473 0.001437228 0.007105442 0.0063871937 0.009462116 0.0058328966 0.005845677 0.005237338 0.008759204 0.0055772923 0.008252377 0.0074187405 0.0070755 0.008275746 0.007500899 0.0068111317 0.006023505 0.009242662 0.00684363 0.0069637643 0.009817041 0.0071353847 0.0057295593 0.0053702523 0.008896135 0.005761327 0.008448097 0.008390768 0.0071587544 0.009100619 0.0072978763 0.0058208467 0.005797112 0.008928268 0.0012309187 0.0015924165 0.0010578379 0.002558602 0.0009592475 0.0013890284 0.0015336275 0.0010563772 0.0015241336 0.0026557317 0.001999193 0.0019524539 0.002690421 0.0015686819 0.0015252291 0.0018126017 0.0018169835 0.002158033 0.0017822942 0.0010541864 0.0009997791 0.00094756274 0.00094464154 0.0014872536 0.0015916863 0.001571603 0.0009548657 0.0014087465 0.001324762 0.0014138585 0.0015270548 0.00152742 0.0023650727 0.002143062 0.0029036682 0.0017651323 0.002568461 0.002561158 0.0024129073 0.0018447348 0.002526834 0.0021759253 0.0020010187 0.0017260612 0.003627029 0.0028346549 0.002253337 0.0035737173 0.0014116677 0.0027451932 0.0033476898 0.001097274 0.0019254328 0.0021047213 0.0025104021 0.0025837973 0.0022902172 0.0018275728 0.0023490062 0.002287661 0.0021562073 0.0021120242 0.0021499998 0.0027601644 0.0016439026 0.0011199132 0.0020999743 0.0018651832 0.0017099947 0.0010713483 0.0028901575 0.0018052987 0.0024264178 0.001510258 0.001534723 0.0032008998 0.0012148521 0.0024855721 0.0015285155 0.0013773435 0.00168626 0.001285326 0.0017921533 0.002094132 0.001434672 0.0014354023 0.0014072858 0.0017654974 0.0014806809 0.0014985732 0.001449278 0.0021240741 0.0021686223 0.002886506 0.00131965 0.0019396737 0.0020733185 0.0017925184 0.0008672298 0.0015453123 0.0013233015 0.0010552818 0.0007609714 0.0011261208 0.002324541 0.0011527766 0.0011312328 0.000723361 0.002265752 0.0006437584 0.0011031163 0.00078908785 0.00092711434 0.0014898096 0.00063426455 0.0007197095 0.0007211701 0.00208975 0.0007923742 0.0015036853 0.0015971635 0.0012017067 0.0006678583 0.0012112006 0.0014324811 0.0011841796 0.0021295513 0.006004152 0.0018705574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072776375 1.0960298e-06 3.6534325e-07 2.922746e-06 1.461373e-06 3.2880891e-06 6.5761783e-06 4.0187756e-06 3.6534325e-07 0.0 0.0 3.6534325e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006291211 2.0093878e-06 7.1241934e-06 2.2285938e-05 3.6351652e-05 3.470761e-06 2.8679446e-05 1.3152357e-05 1.6440446e-06 7.306865e-07 3.6534325e-07 1.461373e-06 0.0 5.480149e-07 1.2787013e-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 0.0020941475 5.6628203e-05 7.453002e-05 0.00028496774 0.00072283164 2.7948758e-05 1.4431058e-05 1.1690984e-05 5.0965384e-05 3.2880891e-06 3.6534325e-06 3.6534325e-06 3.836104e-06 6.0281636e-06 1.2787013e-06 7.1241934e-06 0.00023217563 0.0 0.0 2.922746e-06 1.6805789e-05 3.1054176e-05 5.9368278e-05 3.178486e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008881494 1.1508312e-05 1.4065715e-05 0.000108689615 0.00025902837 2.4477997e-05 7.215529e-05 5.608019e-05 8.950909e-06 7.85488e-06 2.2285938e-05 4.932134e-06 4.384119e-06 2.3747311e-06 4.5667907e-06 6.941522e-06 0.0009186556 4.731195e-05 7.416468e-05 0.00012531273 0.00041064582 0.000356575 0.000367718 0.00018595971 2.0641894e-05 4.932134e-06 1.004694e-05 5.845492e-06 3.160219e-05 3.5072953e-05 8.402894e-06 1.589243e-05 0.0014712373 0.0003300876 0.001155946 0.0011669063 0.0009975698 0.00089710037 0.0012704812 0.0007929775 4.256249e-05 1.1873655e-05 0.00036716997 0.00036607395 1.808449e-05 2.3381968e-05 1.8449835e-05 4.8773323e-05 0.060375165 0.059575062 0.09457604 0.094430454 0.004573732 0.0046904595 0.08873493 0.08900985 7.343399e-05 5.754156e-05 0.00059587485 0.0005836358 7.946216e-05 7.471269e-05 4.8773323e-05 8.914375e-05 0.0010379402 0.00040607902 0.00071369804 0.0006857493 0.0010242398 0.0010706384 0.0004415173 0.00035383494 0.00014303188 7.1424605e-05 0.00024551066 0.0002272435 9.352787e-05 7.215529e-05 5.6628203e-05 9.07878e-05 0.001792922 0.00079023745 0.0011248918 0.0010982217 0.0019575092 0.0020773418 0.00069871894 0.0007505977 0.0005355932 0.00017682613 0.00045412165 0.00044571876 0.0003476241 0.00026523918 0.00033849053 0.0009880709 0.0067942883 0.002742449 0.0025075334 0.0026326634 0.006117307 0.0059708045 0.0050011836 0.0055133947 0.0029943532 0.001265549 0.0030255902 0.0034186994 0.0029609243 0.0021401807 0.0026847247 0.00633286 0.0064788144 0.0060049645 0.0041895737 0.0042588064 0.009542583 0.009410694 0.002254533 0.0022181815 0.0032119153 0.0027576108 0.009061791 0.009041698 0.005340405 0.0053272527 0.0016718108 0.0019080051 0.018650955 0.022685075 0.017554013 0.021856295 0.021797292 0.023626931 0.015889691 0.018546103 0.020012224 0.018145869 0.025489267 0.02156201 0.020594947 0.019817678 0.015832515 0.014811563 92093.0 8.2079315 755893.0 0.013614361 0.016149111 0.010940702 0.013833969 0.018448379 0.017143961 0.009988186 0.012540135 0.015111927 0.015094729 0.015193949 0.013368295 0.016702099 0.019071482 0.014048285 0.013262459 0.01380751 0.01611736 0.012725346 0.0158025 0.020022675 0.017573915 0.01027791 0.012964798 0.015306399 0.015787948 0.015313013 0.014791776 0.019504083 0.01869709 0.01361833 0.012955537 0.0053764223 0.005707157 0.0045337104 0.0044887303 0.0026075118 0.0017581853 0.0025506255 0.002992487 0.003770375 0.0059479317 0.0014221589 0.0030136541 0.0023720288 0.0030665717 0.0019698555 0.0008916606 0.0062098736 0.003726718 0.0048737056 0.0046792338 0.0028284427 0.0017555394 0.0022794232 0.0031525625 0.006932198 0.0072007547 0.001550484 0.002928986 0.0012686981 0.004364374 0.0018203635 0.0015584216 0.011844269 0.0124594355 0.017831888 0.010770042 0.009246018 0.0075910217 0.016479846 0.010736969 0.015246867 0.014894965 0.011857498 0.014656836 0.0146488985 0.01074623 0.011792675 0.016404439 0.012149868 0.011225134 0.018597871 0.011266145 0.009978926 0.0059942347 0.016581712 0.01122778 0.015085468 0.014050931 0.011918354 0.01631977 0.012250411 0.010594092 0.010887784 0.0152865555 6.340312 3.0 10.0 0.0 16.0 2738605.0 49152.0 1.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1504708200.0 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 36864.0 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 -36864.0 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 -5.660553 0.0 3.3088052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36828.0 0.0 2780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -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 -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 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 -1.0 -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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 38932.0 2780.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 436.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.36210936 0.0072265626 0.0045898436 0.003125 0.0073242188 0.0032226562 0.0008789062 0.0020507812 0.0043945312 0.0012695312 0.0028320313 0.0008789062 0.0041015623 0.0029296875 0.0012695312 0.0016601563 0.0033203126 0.000390625 0.0001953125 9.765625e-05 0.0010742188 0.0048828125 0.000390625 0.0009765625 0.0014648438 0.001171875 0.0001953125 0.000390625 0.0012695312 0.0014648438 0.0008789062 0.0005859375 0.019335937 0.0026367188 0.003125 0.001171875 0.0065429686 0.0021484375 0.0010742188 0.0009765625 0.0046875 0.0047851563 0.002734375 0.0008789062 0.0017578125 0.0008789062 0.0034179688 0.0005859375 0.009179687 0.0051757814 0.0025390624 0.0073242188 0.0022460937 0.0026367188 0.0024414062 0.002734375 0.0046875 0.0034179688 0.0028320313 0.0026367188 0.0032226562 0.0037109375 0.0015625 0.0028320313 0.034082033 0.003515625 0.0012695312 0.0009765625 0.0065429686 0.007910157 0.0014648438 0.0020507812 0.0020507812 0.0022460937 0.00048828125 0.00029296876 0.0025390624 0.0021484375 0.0016601563 0.00048828125 0.008007812 0.0037109375 0.0018554687 0.0022460937 0.0018554687 0.002734375 0.003515625 0.0014648438 0.0045898436 0.0025390624 0.0015625 0.0012695312 0.0012695312 0.0017578125 0.0012695312 0.0072265626 0.0009765625 0.009765625 0.0015625 0.008203125 0.008398438 0.018652344 0.0048828125 0.0018554687 0.009082031 0.010058594 0.002734375 0.0017578125 0.0073242188 0.0046875 0.008691406 0.0067382813 0.004199219 0.0012695312 0.011035156 0.012109375 0.018554688 0.009179687 0.0018554687 0.0001953125 0.003125 0.0020507812 0.000390625 0.0001953125 0.0009765625 0.00068359374 0.0 0.00078125 0.0005859375 0.0008789062 0.00029296876 0.007714844 0.0008789062 0.0029296875 0.00029296876 0.00029296876 0.0008789062 0.004003906 0.00078125 0.016601562 0.0009765625 0.003515625 0.0001953125 0.00029296876 0.0005859375 0.0001953125 9.765625e-05 0.0008789062 0.0008789062 0.0001953125 9.765625e-05 9.765625e-05 0.00068359374 0.00029296876 9.765625e-05 0.0 0.000390625 9.765625e-05 0.0 9.765625e-05 0.00029296876 0.0029296875 0.0001953125 0.0020507812 0.00029296876 0.000390625 0.0 0.0001953125 0.0009765625 0.0 9.765625e-05 0.0005859375 0.000390625 9.765625e-05 0.000390625 9.765625e-05 0.000390625 0.0001953125 0.0005859375 0.00029296876 0.00078125 9.765625e-05 0.000390625 0.00029296876 0.0015625 0.00048828125 0.000390625 0.000390625 0.00068359374 9.765625e-05 0.00068359374 0.000390625 0.00390625 0.0010742188 0.0008789062 0.0032226562 0.0047851563 0.0008789062 0.0008789062 0.0026367188 0.0022460937 0.001171875 0.00048828125 9.765625e-05 0.007910157 0.0001953125 0.00078125 0.00078125 0.0020507812 0.0001953125 0.00078125 0.0010742188 0.0008789062 0.0001953125 0.0013671875 0.001171875 0.0012695312 9.765625e-05 0.0001953125 0.00068359374 0.0010742188 0.0005859375 9.765625e-05 9.765625e-05 0.00234375 9.765625e-05 0.00029296876 0.0001953125 0.0014648438 0.0005859375 0.0005859375 0.00029296876 0.007421875 0.0014648438 0.00029296876 0.001171875 0.0030273437 0.0001953125 0.0005859375 0.00029296876 0.0020507812 0.00048828125 9.765625e-05 0.000390625 0.0008789062 0.000390625 0.0005859375 0.0008789062 0.0026367188 0.00048828125 0.0 0.00029296876 0.0026367188 0.0001953125 0.0016601563 0.026660156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11046007 0.0011393229 0.007703993 0.018229166 0.0118272565 0.0078125 0.034776475 0.020399306 0.0009765625 0.00048828125 0.00081380206 0.0016276041 0.0013020834 0.00086805556 0.0013563368 0.0024414062 0.05653212 0.002170139 0.0067816842 0.0015733507 0.0064561632 0.007595486 0.0050455728 0.0021158855 0.0070529515 0.00016276042 0.001030816 0.0007595486 0.0058051217 0.0020073785 0.002766927 0.0032552083 0.12055121 0.003689236 0.029188368 0.009494358 0.024414062 0.014160156 0.06271701 0.037109375 0.004231771 0.0024414062 0.002061632 0.0015733507 0.0048285592 0.001844618 0.003797743 0.011230469 0.04172092 0.0032552083 0.0046115452 0.0061306423 0.008951823 0.0053710938 0.0031467015 0.0033094618 0.008246528 0.00081380206 0.0015190972 0.0011393229 0.007378472 0.0018988715 0.0038519965 0.009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052137587 0.008897569 0.01171875 0.016438803 0.023763021 0.014702691 0.0085720485 0.008843316 0.024251303 0.00081380206 0.0035264757 0.001844618 0.01437717 0.0056966147 0.009819878 0.016818576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122.0 19.770493 2412.0 0.04187396 0.0016583748 0.0074626864 0.0004145937 0.013681592 0.0008291874 0.0004145937 0.0004145937 0.0012437811 0.0024875621 0.0004145937 0.0 0.0037313432 0.0020729685 0.013266998 0.0024875621 0.009121061 0.009121061 0.0033167496 0.005804312 0.0045605307 0.0016583748 0.0049751243 0.0049751243 0.007048093 0.005389718 0.0074626864 0.0004145937 0.0074626864 0.0062189056 0.0045605307 0.011608624 0.039800994 0.012852404 0.0012437811 0.0037313432 0.020729685 0.0074626864 0.0033167496 0.006633499 0.0024875621 0.00787728 0.0012437811 0.0008291874 0.0033167496 0.002902156 0.005389718 0.0012437811 0.01119403 0.005389718 0.0033167496 0.002902156 0.004145937 0.0049751243 0.005804312 0.0004145937 0.008291874 0.0016583748 0.0037313432 0.0016583748 0.0037313432 0.0004145937 0.0016583748 0.027777778 0.0004145937 0.041044775 0.006633499 0.033167496 0.027363185 0.07504146 0.01575456 0.0074626864 0.017412934 0.04187396 0.0012437811 0.0074626864 0.026119404 0.019485904 0.03689884 0.028606964 0.016583748 0.0020729685 0.044361524 0.048507463 0.063432835 0.01782753 0.005804312 0.0004145937 0.010364843 0.0074626864 0.0004145937 0.0008291874 0.0 0.0004145937 0.0 0.0012437811 5.5695043 1.0 0.0 0.0 3.0 10240.0 24576.0 1.0 0.0 55.0 1.0 1.0 0.0 0.0 0.0 1541458600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 10.0 0.0 5.0 1.0 5.0 1.0 4096.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 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 -5.6255255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2827973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.35275948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1730337 0.0 4.8705316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -614.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3669.0 0.0 436.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 9432.0 436.0 16384.0 0.0 0.0 0.0 0.0 488.0 20480.0 28.0 8464.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8960.0 0.0 0.0 232.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.018047955 0.004233896 0.003817895 0.0037905665 0.0039140508 0.0037723475 0.0038776128 0.003837126 0.003732873 0.0039444156 0.0038239679 0.0037956273 0.0037672867 0.0035962302 0.0038978562 0.003805749 0.0037905665 0.0035719383 0.0037976515 0.0037085807 0.0037753838 0.0037541285 0.0037682988 0.003685301 0.0037662743 0.003697447 0.00378753 0.0037389458 0.0038411748 0.0037419824 0.0036711306 0.003872552 0.0037419824 0.0036468387 0.003709593 0.0036043276 0.003678216 0.003732873 0.0036518995 0.003624571 0.0036448142 0.0036691064 0.003963647 0.0038351018 0.0038502843 0.003836114 0.0038158705 0.003648863 0.0037834812 0.00364279 0.0037682988 0.0046812734 0.0037733596 0.003732873 0.0037895541 0.0038583816 0.003746031 0.0036296318 0.003685301 0.003781457 0.003915063 0.0037581772 0.0037480553 0.0039535253 0.00370352 0.0037227513 0.003782469 0.0036053397 0.003956562 0.0038492722 0.0039130384 0.0038816615 0.0038087855 0.0037895541 0.0037855057 0.0039788294 0.0039606104 0.0038988683 0.0037682988 0.003818907 0.0037359095 0.0036691064 0.0037895541 0.003714654 0.003980854 0.004679249 0.0038877344 0.0037257876 0.003770323 0.0038310532 0.0038634425 0.0037774083 0.0038836857 0.0037976515 0.0038097976 0.0041984697 0.0037369216 0.0037490674 0.0036296318 0.0036508874 0.003770323 0.0038826736 0.0048189284 0.0037905665 0.0037288242 0.0037541285 0.0038755885 0.0037915786 0.0038290287 0.0037369216 0.0038877344 0.0038644546 0.0038927952 0.0036468387 0.0037257876 0.0039231605 0.003732873 0.0038270045 0.003805749 0.0038128342 0.003916075 0.003721739 0.0037440066 0.0038168828 0.0036832767 0.0036296318 0.0038745762 0.0047116387 0.0038573695 0.0036711306 0.0036255831 0.003843199 0.0036164736 0.0037085807 0.0037268 0.0035618166 0.0036620211 0.003933282 0.0037500798 0.0039251847 0.0036650577 0.0038705277 0.0037389458 0.003781457 0.0035739627 0.0037166781 0.0037288242 0.0037176902 0.0037763962 0.003837126 0.0037723475 0.003854333 0.0036802401 0.004542607 0.0037571648 0.0037794325 0.0036458264 0.0037176902 0.0037298363 0.0038209313 0.003613437 0.003623559 0.0036478508 0.003770323 0.0036265953 0.00382498 0.0036812522 0.0038027123 0.003667082 0.0038472477 0.004449487 0.0039231605 0.0036822646 0.0038077733 0.003799676 0.0038897588 0.0037966394 0.003673155 0.003732873 0.0037541285 0.0037581772 0.0038219437 0.0040638517 0.0037743717 0.0036721427 0.003721739 0.0038644546 0.0038745762 0.0038097976 0.0038573695 0.0038462356 0.0038857101 0.003922148 0.003962635 0.0037237634 0.0037581772 0.0036761914 0.0037561527 0.0037865178 0.0037865178 0.0038685033 0.0037966394 0.0036994712 0.003721739 0.0044201342 0.0038988683 0.0038421869 0.003806761 0.0036569603 0.0037986638 0.0036933983 0.0037763962 0.0039788294 0.0038239679 0.0037025078 0.0038836857 0.0035931938 0.00378753 0.0039241724 0.0038148584 0.0036073641 0.0039484645 0.0038927952 0.0040618274 0.0038452235 0.003788542 0.003641778 0.0038077733 0.0036620211 0.0038766006 0.0037490674 0.0040213405 0.0037075686 0.003770323 0.0037379337 0.003782469 0.0036508874 0.003769311 0.0038310532 0.003993 0.0037480553 0.0038442113 0.0037389458 0.0037946152 0.0036346926 0.0037348971 0.0037713351 0.0039191116 0.0037470432 0.003836114 0.0038158705 0.0038968439 0.0038877344 0.0038381382 0.004163044 0.014644036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008406753 1.1661961e-05 3.0422509e-05 1.0140836e-05 8.112669e-06 7.605627e-06 1.0647877e-05 5.2732346e-05 2.535209e-06 5.070418e-06 2.9915465e-05 6.0845014e-06 5.070418e-06 9.633794e-06 5.070418e-06 3.0422507e-06 0.0015632098 1.5211254e-05 5.57746e-05 1.2169003e-05 1.4704212e-05 1.2676045e-05 1.1661961e-05 0.00011205624 0.000117633695 1.2676045e-05 5.628164e-05 1.4704212e-05 1.2676045e-05 1.2169003e-05 1.5718295e-05 3.752109e-05 0.00064749236 1.5211253e-06 0.0 5.070418e-07 0.0 1.3690128e-05 0.0 1.4704212e-05 1.5718295e-05 1.41971705e-05 0.0 0.000100394274 0.00011053511 0.0 0.0001019154 1.7746463e-05 0.0022396035 5.983093e-05 7.859148e-05 0.00032197154 0.00016732379 0.00019622517 0.00043047848 0.00015819704 3.2957716e-05 0.00023577444 5.628164e-05 4.1577427e-05 0.00018912659 6.135206e-05 3.092955e-05 0.0019303081 0.0013887875 5.323939e-05 9.1774564e-05 0.00038484472 2.3830964e-05 0.0002230984 0.00042490102 0.00014247875 0.00010495765 0.00030067578 8.2140774e-05 5.374643e-05 0.00047104183 0.00017138013 6.338023e-05 0.003288673 0.0020109278 5.8816848e-05 7.8084435e-05 0.00035239404 6.3887266e-05 0.0003691264 0.00031436593 0.00036557714 9.633794e-05 0.00020433785 0.0003726757 0.0002971265 0.0004502531 0.00021498572 0.00017036604 0.00288811 0.0010333512 6.0337974e-05 5.57746e-05 0.00030777437 7.7070355e-05 0.00031538 0.00019470404 0.0002864786 2.6873215e-05 0.00016732379 0.00017898575 6.692952e-05 0.00027735185 0.00015261958 3.0422509e-05 0.0019607306 0.0019637728 0.00016935196 0.00022766176 0.00024439415 0.00025504202 0.0003310983 0.0004198306 0.00030777437 0.0002925631 0.00026721103 0.00012777453 0.00015261958 0.0002281688 0.00025402795 0.00014298578 0.0008462528 0.0005810699 8.112669e-05 9.836611e-05 7.7577395e-05 0.0001262534 0.00013284494 0.00011256328 0.00010698582 0.0003239997 2.3830964e-05 1.8253504e-05 3.2450676e-05 0.00011611257 3.346476e-05 7.504218e-05 0.00013690129 0.0011824215 0.00018709843 0.00018405617 0.00019267589 0.00031487294 0.00025453497 0.00017239421 0.00017543646 0.00020332375 0.00020433785 0.00016428155 0.00018912659 0.00020028152 0.00017746462 0.00017543646 0.0001759435 0.061683662 0.05922147 0.058762595 0.059387777 0.06018586 0.06029031 0.05941972 0.059776172 0.05875093 0.059250876 0.05962051 0.06001651 0.059397917 0.059916623 0.05988569 0.060819663 4884.0 5.859746 28619.0 0.010237954 0.009888535 0.009539117 0.00807156 0.010063245 0.010203012 0.010587372 0.009084874 0.009574059 0.010063245 0.0092595825 0.010133129 0.009713827 0.00807156 0.010307837 0.008455921 0.009504176 0.009504176 0.011006674 0.020301199 0.0107620815 0.009888535 0.009748768 0.009329466 0.009504176 0.009958419 0.00939935 0.010133129 0.00939935 0.011251267 0.009888535 0.009364408 0.009923478 0.01034278 0.009224641 0.008910164 0.009713827 0.010622314 0.010272896 0.0108669065 0.009993361 0.0105524305 0.010307837 0.01093679 0.010971732 0.010692198 0.01093679 0.009189699 0.009294525 0.010272896 0.00978371 0.010517488 0.010203012 0.009643943 0.011286208 0.009713827 0.009469233 0.011740453 0.010447605 0.009713827 0.009189699 0.009609001 0.009469233 0.009434292 0.009504176 0.011775394 0.010028303 0.010307837 0.011286208 0.013487543 0.027953457 0.009748768 0.010237954 0.011181383 0.009748768 0.009923478 0.012509172 0.010482547 0.0105524305 0.01034278 0.009609001 0.0108669065 0.011216325 0.011775394 0.011775394 0.010237954 0.010307837 0.010272896 0.010377721 0.009853594 0.010098186 0.010133129 0.0089451065 0.009329466 0.010098186 0.010587372 6.5598116 0.0 0.0 0.0 19.0 987979.0 655360.0 0.0 0.0 15.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 1.0 0.0 4.0 0.0 506368.0 1024.0 4096.0 10.0 4.0 0.0 0.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -203264.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 4.9300413 0.0 0.0 0.0 0.20692001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.625222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998342 0.0 0.0 0.0 0.0 0.0 0.0 -7.6428595 7.337916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 4096.0 0.0 8192.0 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 -4096.0 0.0 0.0 -507904.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872.0 643004.0 51200.0 585728.0 0.0 0.0 0.0 0.0 8.0 642644.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 638988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.8063915 0.0013452846 0.0009809724 0.00076169916 0.0012629653 0.0007026546 0.00062915514 0.0007528792 0.0017382617 0.0007021646 0.0006394451 0.0005936304 0.0012240106 0.00069628464 0.0005745206 0.001422949 0.0011475711 0.0006806048 0.00057378557 0.00056839566 0.0008053088 0.00068207475 0.00056790566 0.00054169085 0.00068550475 0.0005865255 0.0005583507 0.00053703587 0.0006161703 0.0005473258 0.00056570064 0.0005485508 0.0008070238 0.0005468358 0.0005845655 0.00055541075 0.0007528792 0.0005441408 0.00052723597 0.0005583507 0.0006257252 0.00051449606 0.00052478595 0.00062915514 0.0005870155 0.00076292414 0.0005625157 0.0005304209 0.00076365913 0.00064949 0.00065536995 0.0009946923 0.00066761987 0.0006355251 0.0005997554 0.0006039204 0.0007031446 0.00065463496 0.0006237652 0.00088934315 0.0006612499 0.0007371993 0.00063650514 0.000918253 0.00089350814 0.0006837897 0.00083813857 0.00087929826 0.0012654153 0.002889508 0.00064679503 0.0005732956 0.00074062933 0.00056521065 0.00060563534 0.0005304209 0.0006156803 0.002235608 0.00056766067 0.00054316083 0.0012279305 0.0009513277 0.00076316914 0.00065561495 0.000651695 0.0019274002 0.00076341414 0.0006881997 0.00062915514 0.0007511642 0.00054218085 0.0005850555 0.0005855455 0.00083985354 0.00063209515 0.0006389551 0.0006075953 0.0007107395 0.0005850555 0.0006433651 0.00080383883 0.0008229487 0.00086141337 0.0005571257 0.0007541042 0.00069603964 0.00085651345 0.0005701106 0.00078080903 0.0005860355 0.0006835447 0.00070436957 0.000657085 0.00052797096 0.00076194416 0.0007384243 0.0012276856 0.0012333206 0.0005845655 0.00056986563 0.00064067007 0.0005669256 0.00054242584 0.0005073911 0.0005769706 0.00078668894 0.00073523936 0.0006161703 0.00072151946 0.0006269502 0.000526991 0.0016287474 0.0006874647 0.0014136392 0.00052944093 0.00051474106 0.0006935897 0.002587425 0.00067178486 0.0052654995 0.00059314043 0.0015268283 0.00053948583 0.00051474106 0.0005970604 0.0005299309 0.00051964103 0.00055639073 0.0005755006 0.0007413643 0.00051449606 0.000518416 0.0005941204 0.00051523105 0.0004963662 0.00050126616 0.00058236055 0.000522091 0.000517681 0.00053801585 0.0005982854 0.000649735 0.00052454096 0.00059289543 0.00057868555 0.00055198075 0.00049293623 0.00052405096 0.0005987754 0.0005095961 0.0004819113 0.00054169085 0.0005889755 0.00051033107 0.0004917112 0.0005345859 0.00060588034 0.00050641113 0.00048901624 0.000526501 0.00061543524 0.00053336093 0.0008283386 0.0005843205 0.0006896697 0.0005500208 0.0005363009 0.0005032261 0.0006335651 0.0005992654 0.0005884855 0.0005902005 0.0011456112 0.0007545942 0.0007058396 0.0008633734 0.00090379803 0.0005732956 0.00072568445 0.001164966 0.00076145417 0.0006739898 0.00054267084 0.000518416 0.0020663142 0.0005492858 0.00054095587 0.00056423066 0.0007342594 0.0005571257 0.0006298902 0.0005336059 0.0007024096 0.0005137611 0.00055443076 0.00054316083 0.00078497396 0.0005576157 0.00055222574 0.0005620257 0.0007153945 0.0006000004 0.00052797096 0.00052968593 0.0008008988 0.0005568807 0.0005583507 0.0005446308 0.0007465093 0.0007376893 0.0005610457 0.00054144586 0.001945285 0.0007599842 0.0005309109 0.0009834224 0.0013222549 0.00051229104 0.000523071 0.0005495308 0.0012208256 0.00059289543 0.00056986563 0.00059314043 0.00090159307 0.0005500208 0.00060441036 0.0007009396 0.001044182 0.0005938754 0.000518416 0.0005309109 0.0013046149 0.0006404251 0.0010789717 0.0056731766 0.791468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00022913072 1.3478278e-06 1.5928874e-06 1.4703576e-06 1.225298e-06 1.225298e-06 1.1027682e-06 1.225298e-06 1.225298e-06 2.0830066e-06 1.5928874e-06 1.5928874e-06 1.4703576e-06 1.837947e-06 2.2055365e-06 6.12649e-07 0.00021246668 4.901192e-07 7.351788e-07 1.1150211e-05 2.0830066e-06 8.577086e-07 5.1462516e-06 2.450596e-06 3.675894e-07 4.901192e-07 9.802384e-07 6.12649e-07 9.802384e-07 4.901192e-07 1.0782623e-05 8.577086e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00082242 9.802384e-06 3.737159e-05 4.0434834e-06 6.3102845e-05 8.3320265e-06 0.00012400016 6.187755e-05 7.474318e-06 8.944676e-06 2.5731258e-06 1.3233218e-05 4.288543e-06 1.2988159e-05 1.0292503e-05 6.396056e-05 0.0020619314 4.1292544e-05 0.00014544287 1.7399232e-05 0.00017950615 5.8446713e-05 0.00028475924 0.00018097651 2.3280661e-05 2.2913073e-05 1.2743099e-05 1.0537563e-05 1.2865629e-05 3.4063283e-05 3.210281e-05 0.00014397252 0.0010082977 2.6466436e-05 4.7051442e-05 1.237551e-05 0.00016664053 4.202772e-05 0.00013417013 6.714633e-05 1.1027682e-05 1.00474435e-05 9.924914e-06 3.136763e-05 1.1762861e-05 1.2743099e-05 2.3893312e-05 0.00014164444 0.0017613659 0.00012301991 0.00011419777 7.229258e-05 0.00040079496 0.00014078674 0.00038351826 0.00020695283 2.9529681e-05 2.5486199e-05 2.499608e-05 5.391311e-05 3.3205575e-05 3.3695695e-05 2.6343907e-05 8.30752e-05 0.0012402466 4.9747097e-05 0.00015426501 9.385782e-05 0.00024211888 0.00011407524 0.00058324187 0.00030938775 2.9652212e-05 2.0707535e-05 1.7644292e-05 2.0094887e-05 3.149016e-05 2.6343907e-05 4.790915e-05 3.050992e-05 0.0009846495 0.00014176698 0.0001636998 0.0013371677 0.0001776682 0.00010059697 0.00027912288 0.00019175913 0.00011284994 0.00010243491 0.00010084202 0.0001040278 0.000113095004 9.300012e-05 0.00010696852 0.00015634802 0.0020214966 0.00023537975 0.00013355748 0.0002841466 0.0011128157 0.00068812736 0.00017252196 0.00020744295 0.002123564 0.00018538759 0.00012326498 0.00020744295 0.00079460576 0.00021969592 0.000631151 0.0016498638 0.008194425 0.0012175787 0.0005925541 0.0010018037 0.004074851 0.0029271145 0.0009934716 0.0014592074 0.0072992225 0.00051793345 0.0005167082 0.00085623824 0.003326684 0.00088785094 0.002603023 0.005438485 0.002575944 0.0005739296 0.0003799649 0.00059684267 0.00079166505 0.00095291424 0.0004433128 0.0008590564 0.001608081 0.00015414249 0.00018881842 0.0003120834 0.00094617513 0.00041084242 0.00084472046 0.0016613816 0.007829654 0.007791915 0.007842397 0.007961619 0.007862737 0.007796571 0.007817156 0.0077247685 0.0078001246 0.007767899 0.0077724326 0.007768022 0.0077806422 0.007865433 0.007836638 0.0077506225 3240.0 8.235494 26683.0 0.02094967 0.0060338043 0.006558483 0.005696511 0.010418619 0.0058838963 0.0062586665 0.00824495 0.007308024 0.005921373 0.0063336208 0.005846419 0.0076827942 0.00595885 0.009744031 0.0061462354 0.013754075 0.012704718 0.014091369 0.013454259 0.014503617 0.01116816 0.010231233 0.010718435 0.01319192 0.010793389 0.010156279 0.012367425 0.011130682 0.010830866 0.011093206 0.014541093 0.019712925 0.009406738 0.0062211896 0.010418619 0.008319904 0.007457932 0.008432335 0.007345501 0.0080575645 0.007570363 0.004834539 0.0060338043 0.00861972 0.0063710976 0.0055091255 0.005733988 0.013679122 0.0061462354 0.0073829778 0.010306188 0.00989394 0.0070831617 0.010568527 0.010231233 0.007832702 0.004984447 0.006820822 0.0069332533 0.00787018 0.005921373 0.0067458684 0.012067609 0.008769629 0.022748567 0.010643481 0.016190084 0.016527377 0.033317093 0.009706555 0.010343664 0.00989394 0.020537421 0.008469813 0.0069707306 0.018963385 0.010156279 0.018776 0.025559345 0.011205637 0.00595885 0.023648016 0.018101413 0.03005659 0.012105086 0.007832702 0.0061837123 0.009181876 0.008807106 0.0050968784 0.005771465 0.0070456844 0.0059963274 0.0053217406 0.0058838963 6.4196734 0.0 0.0 0.0 19.0 4081664.0 4100096.0 1.0 0.0 79.0 1.0 1.0 0.0 1.0 0.0 1542142600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 14.0 15.0 6.0 0.0 6.0 0.0 252928.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3799552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -252928.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.936773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7186636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2127995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3180842 0.0 4.3792205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3799418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -252730.0 0.0 1664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 60.0 4055600.0 1664.0 4071424.0 0.0 0.0 0.0 0.0 11324.0 4075520.0 28.0 308384.0 0.0 0.0 0.0 0.0 24.0 308576.0 64.0 308416.0 0.0 0.0 324.0 258048.0 0.0 0.0 0.0 0.0