Input: 0.0144647965 0.004425673 0.004667175 0.0042698747 0.004232471 0.0041096583 0.004061358 0.004282244 0.004139699 0.004071077 0.004010996 0.0038943682 0.00413322 0.0039061487 0.003935011 0.004052817 0.0053316 0.0038174998 0.00392382 0.0038354653 0.003932655 0.0039073266 0.003857554 0.0037656652 0.0039609284 0.0038292804 0.003912039 0.0037806856 0.0038878887 0.0038074863 0.0037453438 0.0038554922 0.0043267156 0.0037986508 0.0038066027 0.0038145548 0.0038799369 0.0038260408 0.0037647816 0.003818678 0.0038236845 0.0038242736 0.003820445 0.003869629 0.0038001235 0.0037739116 0.003793644 0.0037980617 0.0040793233 0.0038233902 0.0037954112 0.0039541544 0.0038045412 0.003739748 0.0037270838 0.0037247278 0.0038510745 0.0038861218 0.003780391 0.0038319312 0.003871396 0.0038060138 0.003760953 0.0037641926 0.0044889934 0.0041503017 0.0038057193 0.0038401776 0.0038472458 0.0040380913 0.00386904 0.0038086644 0.003978305 0.0038434172 0.0038286913 0.0037927607 0.0037965893 0.003802774 0.0037400424 0.0038110204 0.004062536 0.003739748 0.0038431226 0.003976243 0.0038086644 0.0040051057 0.0038419445 0.0038148493 0.0038407664 0.0037727335 0.0037691994 0.003871985 0.0038873 0.003809548 0.0037556516 0.0037680212 0.0038174998 0.003916162 0.0036867354 0.0038201504 0.0040584127 0.0040398585 0.0039255866 0.0037780348 0.0038923065 0.003930299 0.0038510745 0.0037721447 0.0038881833 0.003833109 0.0039550383 0.003963579 0.0039070323 0.003710591 0.0040089344 0.0038937791 0.0042486694 0.0040769675 0.003802774 0.0038248627 0.003809548 0.003750056 0.0037535902 0.003800418 0.0037880484 0.0037921716 0.0037144197 0.0037983563 0.0050096954 0.003850191 0.0037960003 0.0040522283 0.00388406 0.003970942 0.0038389994 0.003769494 0.0038328145 0.0040743165 0.0037674324 0.0046259426 0.0037577134 0.0039797775 0.0037120637 0.0037733226 0.0040760837 0.0038166163 0.0037945276 0.0037868703 0.003782747 0.0037400424 0.0037244332 0.003749467 0.003742693 0.0037951167 0.0037468162 0.0037989453 0.0038263353 0.003691153 0.003750056 0.0038228012 0.0038021852 0.0037789184 0.0037244332 0.0037217825 0.0038201504 0.003751234 0.0037447547 0.003782747 0.0037091183 0.003704406 0.0037600694 0.0037388643 0.003742693 0.0037259057 0.0036902695 0.0037206046 0.0039034982 0.0037503506 0.0037052897 0.003751823 0.0038063084 0.0037818635 0.0037636037 0.0037459328 0.0038251572 0.0036926256 0.0037989453 0.0037830416 0.0038051303 0.0037117691 0.0036952763 0.0038522526 0.0041108364 0.0037980617 0.003819267 0.004048399 0.003821623 0.0037547683 0.0038652113 0.0038384104 0.003821034 0.003799829 0.0037703775 0.003758597 0.0038266298 0.0037612475 0.0037418096 0.0037279674 0.0038254517 0.0037636037 0.0038136712 0.003752412 0.003780391 0.003728262 0.003769494 0.0037273783 0.0038510745 0.0037715556 0.003737981 0.0038068972 0.0037995344 0.003791877 0.0037559462 0.003740337 0.0039149844 0.003821623 0.0036982214 0.0037082348 0.003880526 0.0036672973 0.0036846737 0.003732385 0.0042189234 0.003803363 0.0036761328 0.0039674076 0.0038504854 0.003750056 0.003728262 0.003833698 0.004200958 0.0037164814 0.0038166163 0.0037385698 0.0038460677 0.0037188374 0.0037538847 0.0037553571 0.0038858273 0.0037547683 0.003791877 0.003720899 0.003899375 0.0037141251 0.003800418 0.0052738753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027611316 2.5636975e-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 0.00041033895 0.00019316135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029996736 0.0014200527 6.9249304e-06 7.072269e-06 1.06084035e-05 6.9249304e-06 1.1787115e-05 4.2728293e-06 0.0006083625 2.9467787e-06 5.59888e-06 1.06084035e-05 6.0408966e-06 2.6521009e-06 5.746219e-06 2.0480113e-05 0.0010086824 9.282353e-06 1.1345099e-05 1.3555183e-05 4.7737816e-05 2.8583754e-05 9.871709e-06 7.514286e-06 0.0002565171 2.7552382e-05 2.9467787e-06 3.5508685e-05 4.1254902e-06 3.2414566e-06 4.2728293e-06 3.8013448e-05 0.00088138157 2.0922129e-05 1.7385995e-05 1.944874e-05 9.562297e-05 1.0755743e-05 4.862185e-06 7.808964e-06 9.72437e-06 3.5361345e-06 1.7680672e-06 5.9230253e-05 3.2414566e-06 1.9154063e-06 5.451541e-06 6.39451e-05 0.0008278975 6.4829132e-06 7.175406e-05 5.451541e-06 5.142129e-05 2.5784315e-05 0.00023765772 0.00012730084 5.6725494e-05 7.661625e-05 2.6521009e-06 4.2728293e-06 3.0941178e-06 5.746219e-06 1.9154063e-06 3.978151e-06 0.00078487454 6.4829132e-06 4.5085715e-05 1.679664e-05 7.2785435e-05 7.8236975e-05 0.00024384595 0.00012435406 7.779496e-05 5.746219e-06 3.3887957e-06 3.6834736e-06 8.692998e-06 4.2728293e-06 1.3849861e-05 1.8859384e-05 0.0011103463 7.5437536e-05 0.00019758152 7.6174234e-05 0.0001059367 7.779496e-05 0.0003621591 0.0001744493 4.331765e-05 6.718656e-05 1.4439216e-05 1.2671149e-05 2.1069469e-05 1.4144538e-05 1.0755743e-05 5.0537255e-05 0.0012787547 7.5584874e-05 8.8403365e-05 9.135014e-05 0.0001793115 6.1293e-05 0.00027272437 0.00015293782 3.7866106e-05 0.00015485323 1.6207283e-05 5.289468e-05 4.8327172e-05 1.9006724e-05 5.0537255e-05 0.00013569917 0.0003961944 4.714846e-06 1.2671149e-05 5.3631375e-05 1.0461064e-05 6.9249304e-06 4.9063867e-05 3.5361347e-05 4.7737816e-05 5.0831935e-05 4.2728293e-06 1.3997199e-05 5.7462188e-05 7.219608e-06 4.022353e-05 0.000114482355 0.0005286521 4.0518207e-05 9.9453784e-05 8.471989e-05 0.00016958712 5.9377595e-05 0.000114924376 8.044706e-05 6.571317e-05 3.4035296e-05 2.3279552e-05 3.359328e-05 3.8308124e-05 1.944874e-05 3.491933e-05 8.177311e-05 0.0011424661 0.00011978656 0.00014674959 0.00014424483 0.000376893 0.0002789126 0.00018667844 0.00022189245 0.0005205485 6.4534455e-05 4.7885154e-05 0.00010284258 0.00026020056 0.00012317536 0.00023662634 0.00055281573 0.0025345245 0.00044334287 0.00046632774 0.0006188236 0.00089537876 0.0009447373 0.00064519723 0.00063473615 0.0015576673 0.00023441625 0.00021246275 0.00033313336 0.00077765493 0.0004261042 0.00074037816 0.0015103715 0.062327173 0.060712043 0.060378466 0.06006051 0.06043416 0.059989195 0.059986692 0.060107954 0.060421783 0.059944555 0.05960376 0.059731353 0.060055353 0.05980797 0.059812095 0.05981342 15740.0 5.93075 93350.0 0.014140332 0.009630423 0.010005356 0.009716122 0.009823246 0.009673272 0.009608998 0.009169791 0.009566149 0.009651848 0.01006963 0.009469737 0.0094376 0.00974826 0.011033744 0.010219604 0.011933583 0.00988752 0.010262453 0.009512587 0.009126942 0.009694697 0.009737547 0.009576861 0.009983932 0.010615962 0.010101767 0.010123192 0.0101553295 0.009416176 0.009683985 0.009459025 0.010819497 0.01074451 0.009930369 0.010980182 0.0101553295 0.010915908 0.010712373 0.009716122 0.009801821 0.0103695765 0.009598286 0.009405463 0.009823246 0.010690948 0.009994644 0.01133369 0.009994644 0.009812534 0.01006963 0.011772898 0.010326727 0.01070166 0.010101767 0.010733797 0.0092983395 0.009973219 0.009641135 0.010101767 0.009469737 0.009919657 0.010187467 0.009201928 0.009619711 0.01282271 0.009930369 0.011505089 0.011590787 0.015715051 0.0103802895 0.010444564 0.010423139 0.012479914 0.0095232995 0.009587574 0.012201393 0.011601499 0.012351366 0.013765399 0.011483664 0.009126942 0.014118907 0.011665774 0.015179432 0.01155865 0.009501874 0.01029459 0.0103695765 0.010337439 0.00948045 0.010016069 0.009351902 0.009319765 0.008227102 0.009491162 6.5746536 1.0 25.0 0.0 53.0 3395416.0 163840.0 0.0 0.0 120.0 0.0 1.0 1.0 1.0 0.0 1452846200.0 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 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.140318 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 45568.0 0.0 0.0 0.0 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 45568.0 114688.0 0.0 0.0 11312.0 3384104.0 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: 0.056762014 0.008309014 0.006175759 0.0056634457 0.0057495222 0.004967571 0.004194953 0.005419734 0.005049499 0.005627148 0.0037541976 0.0044635544 0.004952015 0.0031848454 0.0043256236 0.004635708 0.0050370544 0.0037656054 0.0049323104 0.004151396 0.004355699 0.0031827714 0.0041047274 0.0038392374 0.0050754263 0.0033424804 0.0031578816 0.0029224665 0.0041420623 0.003441002 0.003791532 0.0037987917 0.006169536 0.0038216072 0.0034876703 0.003018914 0.0049053463 0.0041742115 0.0038475338 0.0037251594 0.004728007 0.0038942022 0.003338332 0.0030873609 0.0043764403 0.003716863 0.0037303448 0.0035810068 0.00552033 0.0039439816 0.0031008427 0.0028923915 0.0036784913 0.0030769901 0.002697422 0.002858168 0.004170063 0.0033155165 0.0035229307 0.0033455915 0.0040134653 0.0032263284 0.0035073746 0.0034524098 0.006603032 0.0039543523 0.00361523 0.003223217 0.0041617667 0.0032284025 0.0035436722 0.0030728418 0.0050090537 0.0037770132 0.0037127146 0.0035882662 0.0041316915 0.0031257325 0.0035519686 0.003455521 0.0051708366 0.0036266379 0.003643231 0.0033341837 0.0039284257 0.0033839631 0.003365296 0.0035426351 0.0046460787 0.003645305 0.003818496 0.0035063375 0.004109913 0.0033870745 0.0036909361 0.003803977 0.0059071574 0.0036256008 0.0033414431 0.0029483933 0.004007243 0.0030583227 0.0032626258 0.0030292848 0.004970682 0.0031682523 0.0031972902 0.0030572857 0.0035758214 0.0028332784 0.0030873609 0.0031858825 0.004504 0.003295812 0.00322218 0.0031464738 0.0038910909 0.0033310726 0.003295812 0.0036256008 0.0046274113 0.0033030715 0.0034741883 0.003163067 0.0040342067 0.0032004016 0.0034627805 0.0033435174 0.0086636925 0.004593188 0.004021762 0.003527079 0.0043629585 0.0034337426 0.00301684 0.0033870745 0.004538223 0.003831978 0.0029618752 0.0031941792 0.0037334561 0.002799055 0.0028457232 0.002987802 0.005234098 0.003206624 0.0034876703 0.003018914 0.0036639723 0.0031724006 0.0032999604 0.0032688482 0.0045402977 0.0028384638 0.0030406925 0.002697422 0.0035104859 0.0032284025 0.0029826167 0.0031464738 0.005012165 0.003413001 0.0032709225 0.002798018 0.0037780502 0.003015803 0.0030562486 0.0031827714 0.0041420623 0.0029981728 0.0031163988 0.00301684 0.003645305 0.0028322414 0.0029183181 0.0030375815 0.004668894 0.0031153618 0.0038402744 0.0028509086 0.0035685617 0.0031506221 0.0029836537 0.0031205472 0.004255103 0.0031443997 0.0033341837 0.0031744747 0.0036546388 0.0031858825 0.0033289983 0.0033507769 0.006720221 0.004051837 0.0037220484 0.0033310726 0.0041182097 0.003251218 0.0033061828 0.0032242541 0.0043225125 0.0033310726 0.0031112134 0.0030801012 0.003646342 0.0029826167 0.0030738788 0.0027949067 0.0042499173 0.0032709225 0.0030852866 0.0029992098 0.0037116776 0.0030126916 0.0029318002 0.0029400967 0.003978205 0.0031101764 0.0027295712 0.002640383 0.0035333014 0.0029494304 0.0035841179 0.0028799465 0.0049457923 0.0032387732 0.0033943339 0.002971209 0.0037987917 0.0030655824 0.0031962532 0.0029069104 0.0044376273 0.0054570683 0.0034638175 0.0031371403 0.0037821985 0.0030749158 0.0032470697 0.0032014386 0.0046139294 0.0033134422 0.0034244088 0.003045878 0.0037407156 0.0030842496 0.0033134422 0.0032377362 0.0043515507 0.0030365444 0.0031889938 0.0028654276 0.004012428 0.0030946203 0.0042302134 0.0045216302 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045903632 0.00029296876 0.00027167136 0.00026803525 0.00030335772 0.00024102394 0.00032829124 0.00030283828 0.00033400516 0.00034906916 0.00033088846 0.00035530253 0.00051944813 0.00015739279 0.00018855967 0.0007412525 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09925096 0.062006004 0.062487014 0.055316553 0.060620636 0.05958278 0.054927483 0.054483358 0.06047623 0.05312656 0.05211935 0.052916702 0.05638869 0.050511137 0.056620885 0.053846512 4024.0 5.7037773 22952.0 0.01720983 0.010456605 0.009367376 0.008670269 0.01341931 0.012504357 0.01180725 0.011545835 0.012547926 0.009759498 0.008452422 0.00858313 0.013855002 0.010543743 0.011850819 0.009933775 0.016686998 0.011894388 0.008670269 0.0074939 0.009846636 0.008539561 0.007929592 0.008321715 0.010282328 0.008452422 0.009715929 0.008844545 0.011458697 0.0089752525 0.00962879 0.009193099 0.017994074 0.010848728 0.010369467 0.009149529 0.010848728 0.008844545 0.010718021 0.008365284 0.014203555 0.011632973 0.009759498 0.009018822 0.011458697 0.0093238065 0.011632973 0.009541652 0.014813524 0.009585221 0.009977344 0.009018822 0.012068665 0.009410945 0.009541652 0.009803067 0.013680725 0.009193099 0.010630881 0.009498083 0.011153712 0.009803067 0.010413036 0.0106744515 0.017950505 0.010979435 0.00967236 0.008147438 0.013070757 0.008234576 0.009367376 0.008321715 0.0154234925 0.0093238065 0.008888114 0.008713838 0.0113279885 0.0080603 0.009933775 0.008016731 0.013201464 0.008016731 0.008757407 0.008757407 0.011415128 0.009367376 0.008234576 0.007886023 0.010892297 0.008888114 0.011981526 0.00858313 0.0113279885 0.00910596 0.009977344 0.008757407 6.554796 0.0 0.0 0.0 14.0 964254.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.028432628 0.003975839 0.0037954634 0.003994028 0.0039440077 0.0038864089 0.0037818216 0.0038394204 0.0038939877 0.0036696552 0.0038697356 0.0038181997 0.0038515464 0.0037045176 0.003709065 0.0042304867 0.0037742427 0.0039273347 0.0036954232 0.0037894002 0.0037136122 0.00372877 0.0037818216 0.0038530622 0.003854578 0.0038454833 0.0037060336 0.0037742427 0.0038015263 0.00382881 0.0037136122 0.0037242225 0.0038394204 0.0037454432 0.0036241824 0.003760601 0.0043805465 0.0038272943 0.003804558 0.0038060737 0.0038348732 0.003848515 0.003684813 0.0037696953 0.0037120965 0.0038909563 0.0037954634 0.0038333572 0.003892472 0.003721191 0.0036742026 0.0037393803 0.003854578 0.0036999704 0.003912177 0.0038333572 0.0038712514 0.0038394204 0.0036954232 0.0038197155 0.0040228274 0.0038318415 0.004013733 0.0037545378 0.003922787 0.0037045176 0.0036363085 0.0037302857 0.004037985 0.00372877 0.003709065 0.0037590852 0.0038272943 0.0036984547 0.003836389 0.0037545378 0.0038424518 0.0037666638 0.0037803056 0.0036544977 0.0038788302 0.0038197155 0.0038909563 0.0038000105 0.003790916 0.0038818617 0.0036317613 0.003765148 0.0041865297 0.0036954232 0.0038379047 0.0038091051 0.0037742427 0.0038500307 0.003784853 0.0037681796 0.003951587 0.0038591253 0.0038424518 0.0037666638 0.0039712917 0.003904598 0.0042047184 0.0038651882 0.003866704 0.0038636725 0.0037621167 0.0036575291 0.0037984948 0.0037454432 0.00386822 0.0038000105 0.0037984948 0.003753022 0.0037227068 0.00372877 0.0038879246 0.0037181596 0.0038469993 0.00372877 0.0036908758 0.0037045176 0.0038242629 0.0038121366 0.003790916 0.0036726869 0.003740896 0.0037575692 0.0037863688 0.00391824 0.0038333572 0.0039440077 0.0036878444 0.0037302857 0.0038439676 0.0038212312 0.003975839 0.0040076696 0.0037196754 0.003872767 0.0037348329 0.004133478 0.0038348732 0.0036984547 0.0036908758 0.0039546182 0.0037712113 0.0037772742 0.0037302857 0.0036939073 0.0037666638 0.003740896 0.0037878845 0.0038576096 0.0036863287 0.0037181596 0.0039288504 0.0037712113 0.003753022 0.0037393803 0.0037666638 0.0038242629 0.0037560535 0.0036802655 0.0038060737 0.0036317613 0.003740896 0.0038712514 0.003765148 0.0038318415 0.0037939476 0.0037742427 0.0037545378 0.0038000105 0.003703002 0.0036863287 0.00368936 0.0037348329 0.0037863688 0.0037984948 0.003822747 0.0036939073 0.0037696953 0.0037560535 0.0038757985 0.0039273347 0.0039030823 0.003665108 0.0037833373 0.0039030823 0.0038394204 0.0037060336 0.0038864089 0.004441177 0.003804558 0.003840936 0.0038000105 0.0038439676 0.0038500307 0.0038697356 0.00391824 0.0037393803 0.003784853 0.00363934 0.0038439676 0.0037939476 0.0038757985 0.0037772742 0.0038181997 0.0039152084 0.0038333572 0.003696939 0.003866704 0.003816684 0.0036726869 0.0037712113 0.0037318014 0.0037333171 0.0036863287 0.003804558 0.0036923916 0.0037272542 0.0038060737 0.003772727 0.0038757985 0.0038955035 0.0037136122 0.0038500307 0.003760601 0.0037863688 0.0037075493 0.0038454833 0.0040955837 0.004250191 0.0037424117 0.0037772742 0.003854578 0.0038091051 0.0037742427 0.003716644 0.003765148 0.003760601 0.0038454833 0.0037621167 0.0038197155 0.003792432 0.0037757584 0.0037833373 0.003898535 0.003822747 0.0038257786 0.00372877 0.0037045176 0.0036984547 0.003860641 0.004189561 0.01866252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001305374 1.3668838e-05 1.5946976e-05 2.1262636e-05 1.6706357e-05 1.2150078e-05 2.2781396e-05 1.1390698e-05 1.6706357e-05 1.7465736e-05 1.51875975e-05 1.51875975e-05 2.2022015e-05 1.9743877e-05 1.51875975e-05 1.4428218e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00097200624 3.7968992e-05 4.3284654e-05 5.5434728e-05 4.6322173e-05 3.1893953e-05 5.467535e-05 5.2397212e-05 4.404403e-05 3.3412714e-05 3.7968992e-05 2.6578295e-05 1.8984496e-05 3.1893953e-05 3.8728373e-05 2.9615814e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00057940686 6.7584806e-05 7.9734884e-05 6.6066044e-05 5.923163e-05 5.999101e-05 5.8472247e-05 6.454729e-05 6.834419e-05 5.5434728e-05 6.910357e-05 5.5434728e-05 6.910357e-05 5.999101e-05 7.062233e-05 7.214108e-05 0.00048448436 6.834419e-05 7.3659845e-05 7.3659845e-05 7.3659845e-05 6.910357e-05 6.302853e-05 6.530667e-05 8.5050546e-05 6.910357e-05 7.290047e-05 5.923163e-05 7.517861e-05 5.999101e-05 8.1253645e-05 8.1253645e-05 0.062810585 0.060424615 0.061048824 0.061051104 0.060294762 0.061108056 0.061619878 0.060077578 0.061438385 0.060304634 0.0600996 0.060609143 0.0616419 0.060280334 0.061353337 0.060953904 3044.0 5.61728 17099.0 0.009649687 0.010059068 0.008947892 0.010819346 0.009883619 0.011989005 0.011521142 0.010819346 0.010351483 0.011755073 0.008947892 0.010176034 0.008246096 0.011228727 0.011170244 0.00812913 0.0111117605 0.009240307 0.008596994 0.011989005 0.010292999 0.009942102 0.010994795 0.009532721 0.009415755 0.009942102 0.010351483 0.009591204 0.010234517 0.008889409 0.010819346 0.012047488 0.011813557 0.010643898 0.009649687 0.010585414 0.01228142 0.010176034 0.010936312 0.010292999 0.0111117605 0.01128721 0.010409965 0.010000585 0.0104684485 0.011813557 0.010643898 0.009942102 0.011521142 0.00970817 0.010936312 0.010643898 0.009766653 0.0104684485 0.010234517 0.010526932 0.009532721 0.009415755 0.009883619 0.008596994 0.010234517 0.009766653 0.009942102 0.0111117605 0.011521142 0.0104684485 0.011755073 0.010760863 0.011462659 0.010994795 0.00970817 0.0104684485 0.010760863 0.010643898 0.010409965 0.009766653 0.0133925965 0.010176034 0.01070238 0.010292999 0.011053278 0.010936312 0.0119305225 0.010877829 0.010760863 0.009825136 0.009766653 0.009942102 0.009591204 0.01011755 0.011053278 0.010176034 0.0104684485 0.009240307 0.009649687 0.010292999 6.5794387 0.0 0.0 0.0 17.0 659735.0 9310208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1458292100.0 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 5.0 1.0 12.0 0.0 5.0 1.0 5.0 1.0 1078272.0 1024.0 4096.0 7.0 4.0 0.0 3.0 4.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4027904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.957903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3710348.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170544.0 0.0 0.0 -4027436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1077915.0 0.0 230254.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 8683820.0 230400.0 9076736.0 0.0 0.0 19096.0 4259840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8704100.0 64.0 9069464.0 0.0 0.0 108.0 5054284.0 0.0 0.0 0.0 0.0


Input: 0.16424735 0.0068714013 0.0059864097 0.004068928 0.005014953 0.003667121 0.0032246253 0.0031127296 0.004068928 0.0031025573 0.0029448865 0.0028431632 0.0035959147 0.0030110064 0.002359978 0.0034840193 0.0036925517 0.0026041137 0.0023396334 0.002421012 0.0036416901 0.0066526965 0.002777043 0.0025583382 0.0045419405 0.002426098 0.002197221 0.0023447196 0.0029804895 0.0021209286 0.0026041137 0.002710923 0.0049030576 0.0025227352 0.0023752365 0.002044636 0.002649889 0.003951946 0.0019022237 0.002070067 0.0028635077 0.0022124795 0.0021870486 0.0024617012 0.0029550586 0.0022735132 0.0030466095 0.0026193722 0.003855309 0.0032449698 0.003000834 0.003829878 0.0033873823 0.0034229853 0.0029804895 0.003158505 0.0038705673 0.0027261814 0.003087299 0.0030364373 0.0040231524 0.0035552254 0.0032704007 0.0040231524 0.015929852 0.0057015847 0.0027465262 0.0028075601 0.0033009176 0.006856143 0.0026651477 0.0029601448 0.002680406 0.0031686774 0.0031686774 0.0025837692 0.0031991943 0.005192969 0.0028228185 0.0030364373 0.0048877993 0.0036416901 0.0032551421 0.0035857426 0.0028584218 0.0034687608 0.0025990275 0.0030110064 0.0028279047 0.0025074766 0.002421012 0.00210567 0.002934714 0.0027210955 0.0024464428 0.0035653978 0.003061868 0.0043283217 0.0021005839 0.0038959982 0.0037078103 0.0070189 0.003829878 0.0032246253 0.0051827966 0.004338494 0.0039672046 0.0024667874 0.0043486664 0.0028279047 0.004053669 0.00394686 0.0037434134 0.002329461 0.0045470265 0.003829878 0.0054015014 0.0036111732 0.0031635913 0.0027312676 0.0032398836 0.0026905783 0.0022124795 0.0024769597 0.0028838525 0.0030313511 0.0026346305 0.0031279882 0.0060983053 0.0030720404 0.0021717902 0.0044859927 0.0027821292 0.0048267655 0.002044636 0.0023040303 0.0026397167 0.0045775436 0.0023142025 0.009948528 0.0025481659 0.0092924135 0.0022175657 0.002588855 0.002487132 0.0019530853 0.0019836023 0.0022124795 0.0026091998 0.0030669542 0.0021717902 0.0023345472 0.0023142025 0.0019276545 0.0021463593 0.0019988606 0.0025837692 0.001881879 0.0022124795 0.002136187 0.0025735968 0.002482046 0.0017496389 0.002517649 0.0023091165 0.0019581714 0.0023243749 0.0022175657 0.002258255 0.0018462759 0.0019174821 0.0019123959 0.0026549753 0.0022836856 0.00210567 0.0024667874 0.0032398836 0.00548288 0.0028533356 0.0028533356 0.0028279047 0.0022429964 0.0024464428 0.002456615 0.003026265 0.002990662 0.0024057534 0.0023192887 0.0027007507 0.0023040303 0.0023447196 0.0030059202 0.0045063375 0.0028177323 0.0026346305 0.0024311843 0.0029245417 0.0026397167 0.004272374 0.0041503063 0.002390495 0.001881879 0.0020192054 0.0022989442 0.0066832136 0.0019276545 0.0021260148 0.002365064 0.0030415235 0.0018717067 0.0022175657 0.0025278213 0.0024922183 0.001815759 0.0024922183 0.0024667874 0.0022480825 0.0019429129 0.0023701503 0.0022175657 0.0025481659 0.002136187 0.00197343 0.0026956645 0.002990662 0.0023447196 0.0020649808 0.0023498058 0.0027516123 0.0026956645 0.00197343 0.0027923016 0.004592802 0.00287368 0.0021819624 0.0028329908 0.0038705673 0.0023447196 0.0020141192 0.0030720404 0.0044758203 0.0025685106 0.0022277378 0.0023142025 0.003000834 0.002680406 0.0023243749 0.0026346305 0.0039316015 0.0025685106 0.002802474 0.0030313511 0.006372958 0.0040943585 0.0036416901 0.042103227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038960243 6.902405e-05 5.624182e-05 6.6467604e-05 0.00035534604 0.00011759653 0.0002096286 0.0001048143 8.180628e-05 2.812091e-05 3.3233802e-05 7.669339e-05 1.7895125e-05 2.045157e-05 6.391116e-05 3.8346694e-05 0.015118823 0.000107370746 0.0012986747 0.0001712819 0.0009433287 0.0009382158 0.004305056 0.002617801 0.00019173347 0.00012782232 0.00010992719 9.458851e-05 2.812091e-05 2.045157e-05 5.1128927e-06 9.970141e-05 0.026014399 0.001048143 0.0008282886 0.0017920688 0.0023033582 0.00043203944 0.0010097963 0.0006595632 0.0010379172 0.0011938604 0.00036812827 0.00035534604 0.00023008017 0.0003579025 0.0005036199 0.0037503068 0.0143467765 0.00045504744 0.0009995705 0.0009842318 0.0025768979 0.0017128191 0.007326775 0.0043843053 0.00069790985 0.00014571744 0.00012782232 0.00012526587 0.0005521924 0.00012526587 0.00034512026 0.0017434964 0.028499264 0.0016463514 0.0017256013 0.0017486092 0.005527037 0.002801865 0.006076673 0.0038500081 0.0023186968 0.0009688932 0.00069024053 0.0010967155 0.000738813 0.0007694903 0.00059053913 0.0037784276 0.02545198 0.0027584056 0.002341705 0.012316958 0.0038627903 0.0027660748 0.0029296875 0.0021116247 0.0021116247 0.001689811 0.0015901097 0.0023238098 0.0019659072 0.0013472472 0.0016795852 0.0060511087 0.026507791 0.0036071457 0.0027558492 0.0055986173 0.00688451 0.0036915084 0.005997423 0.0035074444 0.0048137885 0.0019812458 0.001763948 0.0029935986 0.0026612605 0.0013830374 0.0014341665 0.008188298 0.034389317 0.009512537 0.0042922734 0.0027558492 0.016570885 0.006746462 0.0062735192 0.0035023314 0.022287099 0.0024311806 0.0020451571 0.007873855 0.011815895 0.0032799207 0.00789175 0.031106839 0.0047013047 0.0009254336 0.0010251349 0.0007669339 0.0020195926 0.00095355447 0.00084618374 0.00095099804 0.0016028918 0.00032466868 0.0004141443 0.001076264 0.0014367228 0.0004959506 0.00095866737 0.0024439627 0.039295137 0.028701223 0.027888274 0.02850182 0.02806211 0.028895512 0.027509918 0.030181406 0.02908469 0.02730029 0.028604077 0.029682899 0.028867392 0.029447705 0.030426824 0.03399051 870.0 12.586206 10950.0 0.016347032 0.004018265 0.0065753423 0.0020091324 0.006940639 0.0025570777 0.0032876711 0.0029223745 0.0046575344 0.0038356164 0.0026484018 0.0034703196 0.003652968 0.002739726 0.008675799 0.0044748858 0.012785388 0.011689498 0.012237443 0.011324201 0.011324201 0.014063927 0.009680365 0.011232877 0.012511415 0.0100456625 0.0100456625 0.009041096 0.013515982 0.013150685 0.011050228 0.016347032 0.028493151 0.016803652 0.0052968035 0.009954338 0.017899543 0.008858448 0.007123288 0.011050228 0.0057534245 0.012420092 0.006940639 0.0060273972 0.0074885846 0.0052054795 0.00977169 0.0052968035 0.01196347 0.0042922376 0.005936073 0.010410959 0.006484018 0.007853881 0.01086758 0.012146119 0.011689498 0.0043835617 0.0050228313 0.00630137 0.0043835617 0.003105023 0.0047488585 0.01954338 0.00630137 0.021004567 0.007671233 0.017260274 0.018995434 0.047762558 0.008584475 0.013059361 0.008219178 0.021369863 0.0038356164 0.007762557 0.025114154 0.010593607 0.021643836 0.022739725 0.0120547945 0.004018265 0.027031964 0.02155251 0.033333335 0.009406392 0.013789955 0.007853881 0.012420092 0.008219178 0.0052968035 0.0032876711 0.0052054795 0.0037442923 0.0029223745 0.0055707763 6.2811294 1.0 0.0 0.0 3.0 196612.0 217088.0 1.0 0.0 144.0 1.0 1.0 0.0 0.0 0.0 1461915300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 38912.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 0.0 128512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.156906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9345512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5550714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9889894 0.0 7.491947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6578.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20486.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38488.0 0.0 128180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 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 0.0 1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 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 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 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 -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 1.0 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 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 1.0 1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -2.0 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 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 59764.0 128180.0 77824.0 0.0 0.0 0.0 0.0 5452.0 208896.0 28.0 46432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 55584.0 0.0 0.0 1288.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.18451571 0.0116459625 0.0066721663 0.006781347 0.009037753 0.0039547747 0.0038698565 0.0037606754 0.012288917 0.0026688664 0.0029357532 0.0019167314 0.008237093 0.0027901786 0.0017954193 0.007921681 0.008770865 0.0014436141 0.0019652562 0.0011645963 0.0048039597 0.0033846078 0.0019288625 0.0011403338 0.0033724767 0.0015042702 0.0011645963 0.0016255823 0.0023898487 0.0017468944 0.0013950893 0.0015891887 0.008188567 0.0013465644 0.0013950893 0.0015042702 0.0056652757 0.0016741072 0.0009826281 0.0009826281 0.0019046002 0.001661976 0.0022564053 0.0030085405 0.0013586957 0.0010554154 0.001322302 0.00089770963 0.0025475544 0.0009704969 0.0012373836 0.006223311 0.0017954193 0.0022200115 0.001382958 0.0009947593 0.0026567352 0.0039547747 0.0012980396 0.007290858 0.001953125 0.001953125 0.0011039402 0.0011403338 0.011051534 0.0089770965 0.0011039402 0.0022078804 0.004197399 0.01011743 0.003724282 0.002365586 0.0024383734 0.0016255823 0.0010675465 0.00094623445 0.0022442741 0.0053498643 0.0015649262 0.0010432842 0.0073636454 0.0022442741 0.0014557453 0.0073636454 0.00200165 0.0041124807 0.0063324925 0.00440363 0.001613451 0.0069997087 0.00082492235 0.002183618 0.0015891887 0.0052406834 0.0036029697 0.0026567352 0.0019773874 0.0036878882 0.0010675465 0.0021593557 0.0027901786 0.0061019994 0.0027416537 0.0011282027 0.0040518246 0.003323952 0.0061141304 0.0009341033 0.0035544448 0.0017590256 0.0035544448 0.0036029697 0.0033118206 0.0010311529 0.0049495343 0.0030085405 0.015479426 0.017590256 0.0020380435 0.0015891887 0.0014072205 0.0015770574 0.00092197204 0.0008734472 0.0020380435 0.0038334627 0.0016013199 0.0016377135 0.004245924 0.0028265722 0.0012252523 0.01692304 0.0041488744 0.009243983 0.0011039402 0.0007521351 0.0036393635 0.012082687 0.0032026398 0.029127037 0.0018318129 0.00840693 0.0011282027 0.0010432842 0.0019895185 0.0009583657 0.0007521351 0.000861316 0.0011403338 0.001492139 0.000861316 0.0007642663 0.0014678766 0.0010311529 0.00065508543 0.00058229815 0.0007642663 0.0012131211 0.00072787266 0.0007642663 0.0019167314 0.0018439441 0.0007400039 0.001431483 0.0011524651 0.0009704969 0.0006429542 0.0005216421 0.0010675465 0.00092197204 0.0006672166 0.0007157415 0.0009583657 0.0009947593 0.0011403338 0.0007885287 0.0009947593 0.00063082296 0.00063082296 0.00063082296 0.0011888586 0.0015891887 0.0017105008 0.0012252523 0.0017590256 0.0011645963 0.0009704969 0.00080065994 0.00094623445 0.0012859084 0.0014193517 0.0009583657 0.0082006985 0.004270186 0.0018318129 0.00661151 0.004901009 0.0008127912 0.0034210016 0.005750194 0.002583948 0.002862966 0.0012616459 0.0011039402 0.0039426438 0.000861316 0.0011767275 0.0011767275 0.0018803377 0.001661976 0.001322302 0.0016377135 0.0011039402 0.00080065994 0.0014072205 0.0007885287 0.0020501746 0.0010190217 0.00092197204 0.001661976 0.0015285326 0.00090984086 0.00092197204 0.0008127912 0.005495439 0.0016013199 0.0010554154 0.0009947593 0.0030691964 0.002183618 0.0013950893 0.0012859084 0.01751747 0.003323952 0.00094623445 0.0066721663 0.0045249416 0.00082492235 0.0011282027 0.0011039402 0.004367236 0.0012616459 0.000861316 0.002183618 0.002583948 0.0009704969 0.0030328028 0.0025232919 0.0059442935 0.0021714868 0.0013708269 0.0023170614 0.006259705 0.005337733 0.0052042897 0.06239082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011273734 0.0004264735 0.00033376185 6.1807755e-06 0.00015451938 0.00010507318 0.000111253954 8.035008e-05 3.708465e-05 1.2361551e-05 1.8542325e-05 2.4723102e-05 1.8542325e-05 6.1807755e-06 2.4723102e-05 2.4723102e-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 0.0101488335 0.0004759197 0.0003523042 1.2361551e-05 0.00041411194 0.00017306171 0.00022868869 0.00016688093 7.41693e-05 5.5626977e-05 0.000117434734 1.8542325e-05 3.708465e-05 7.41693e-05 0.0001483386 0.00016070016 0.009030113 9.889241e-05 4.9446204e-05 1.8542325e-05 0.00056245056 0.00033376185 0.0015513746 0.0007849585 4.9446204e-05 3.0903877e-05 2.4723102e-05 1.8542325e-05 1.8542325e-05 1.2361551e-05 4.9446204e-05 2.4723102e-05 0.009147547 0.00024723102 0.00018542325 5.5626977e-05 0.0008591278 0.00023486947 0.00017924249 0.00021632714 0.00016688093 0.00016070016 0.000117434734 4.3265427e-05 4.3265427e-05 0.00010507318 0.00022868869 0.0006675237 0.0063661984 0.0003523042 0.0011928896 0.0003770273 6.798853e-05 0.00019160403 0.0024537677 0.0011681665 0.00039556963 3.0903877e-05 0.0 0.0 6.1807754e-05 0.0 0.0 0.0 0.006971915 0.0001483386 0.001569917 0.0006675237 0.0016131824 0.0010260087 0.008430578 0.0041658427 4.9446204e-05 8.6530854e-05 7.41693e-05 3.0903877e-05 0.000117434734 4.3265427e-05 5.5626977e-05 0.00026577333 0.023690911 0.0013659514 0.001650267 0.0006737045 0.002509395 0.0016688093 0.0042214696 0.0024908525 0.0019593057 0.00061189674 0.0006984276 0.0006489814 0.0011867088 0.00087148935 0.0008282239 0.005556517 0.0064341873 0.00025959258 0.00033376185 0.00028431567 0.0010198279 0.00043883504 0.0005748121 0.0006489814 0.00064280065 0.00020396558 5.5626977e-05 0.00010507318 0.00015451938 0.00023486947 0.00028431567 0.0009827432 0.027405558 0.0023054292 0.0032881724 0.0021509097 0.003084207 0.0031521954 0.0057913866 0.004654124 0.007596173 0.0010630933 0.0010383703 0.0014957476 0.0027257218 0.0010754549 0.0023548754 0.006767949 0.05618325 0.009339152 0.008276058 0.009444225 0.015625 0.013931467 0.007126434 0.013251582 0.032016415 0.0026700948 0.0026824565 0.004264735 0.013622429 0.0042461925 0.015006922 0.032819916 0.08524525 0.020019531 0.012961086 0.02007516 0.029933495 0.034136422 0.012207031 0.03061338 0.05389018 0.0060138945 0.006625791 0.0063971025 0.028505735 0.008714893 0.029612094 0.058086928 0.010352799 0.0048580896 0.005327828 0.0054267207 0.0048457277 0.005389636 0.0056554093 0.0052165743 0.0052103936 0.005315467 0.0051856707 0.005055874 0.0049631624 0.0053031053 0.0053525516 0.005148586 425.0 12.256471 5209.0 0.05874448 0.0019197543 0.0019197543 0.0015358034 0.0028796315 0.0024956805 0.001343828 0.001343828 0.0024956805 0.0015358034 0.0011518525 0.0017277788 0.0028796315 0.00460741 0.007487042 0.0028796315 0.0076790173 0.0021117297 0.00460741 0.0042234594 0.0015358034 0.0017277788 0.0047993856 0.0021117297 0.002303705 0.0034555576 0.0019197543 0.003647533 0.002303705 0.001343828 0.002303705 0.0015358034 0.0032635822 0.012862354 0.002687656 0.010366673 0.0047993856 0.0071030906 0.008638894 0.009022845 0.0071030906 0.005759263 0.0024956805 0.0015358034 0.0051833363 0.0069111153 0.002687656 0.0042234594 0.01766174 0.004031484 0.008446919 0.056824725 0.008446919 0.0030716069 0.027068535 0.016893838 0.002303705 0.003647533 0.0017277788 0.0024956805 0.0007679017 0.0030716069 0.003647533 0.0021117297 0.0024956805 0.040890764 0.00671914 0.022077175 0.023229027 0.07410251 0.00883087 0.008062968 0.012094452 0.04069879 0.00460741 0.0034555576 0.035515454 0.0138222305 0.04415435 0.045114227 0.01804569 0.0019197543 0.044346325 0.027068535 0.06047226 0.02476483 0.0051833363 0.0047993856 0.0059512383 0.009406796 0.0028796315 0.001343828 0.0015358034 0.0007679017 0.001343828 0.0028796315 5.5608077 0.0 0.0 0.0 5.0 82432.0 102400.0 0.0 0.0 79.0 0.0 0.0 0.0 0.0 0.0 1368109300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 68608.0 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 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16896.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.467649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.934656 -2.2512875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6193113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 -11204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51693.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 63796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 62600.0 0.0 0.0 320.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.19634421 0.032192934 0.0068130703 0.006093427 0.008786372 0.004140302 0.0032471376 0.0032767304 0.014687446 0.0018737625 0.0019558154 0.0029686962 0.006905884 0.0025839896 0.0014527376 0.005688544 0.007848819 0.0016504714 0.0015751442 0.0014917463 0.0036358794 0.0028368738 0.0013249505 0.0011581547 0.0031516335 0.001256349 0.0012926675 0.0012899772 0.0026754583 0.0012133049 0.001203889 0.001298048 0.008331719 0.0011702608 0.0011958183 0.0012738357 0.0029686962 0.0019598505 0.0010330578 0.0010075005 0.0021939029 0.0015590027 0.00083801436 0.001996169 0.0020634255 0.0014406315 0.0014487022 0.0011971634 0.0030251916 0.0021293366 0.002356663 0.0055392347 0.0029754217 0.0026673877 0.0021078147 0.0020459387 0.0035901451 0.0032404119 0.0027292636 0.005149148 0.002765582 0.002438716 0.0026041667 0.0035753488 0.0039156657 0.0032283058 0.001900665 0.0029377583 0.0027171574 0.013392089 0.004495416 0.0024023976 0.0029592803 0.002176416 0.0015657283 0.0011473937 0.002176416 0.0054921554 0.00300905 0.0018818333 0.007612076 0.002808626 0.0025100077 0.004603026 0.002640485 0.004763096 0.004689114 0.0040259664 0.0026687328 0.0031852617 0.001298048 0.0017486656 0.002184487 0.0060786307 0.003430075 0.0024656185 0.0016733385 0.004542495 0.0013975874 0.0025140431 0.003852445 0.0075327135 0.0032242704 0.0017540462 0.0062548425 0.0037206225 0.0056185974 0.0013975874 0.003945259 0.002187177 0.003547101 0.0040690103 0.002978112 0.0009953943 0.004668937 0.0038618608 0.010163783 0.009386299 0.0023808754 0.0023203448 0.0029162362 0.0014554278 0.0010478542 0.0009267928 0.0023364862 0.0033507124 0.0020136558 0.0011030044 0.0030198111 0.0016840996 0.0011016594 0.007906659 0.0031919873 0.006237356 0.0016988959 0.00089719996 0.0022571238 0.009305592 0.0013787556 0.02913277 0.0015590027 0.007281175 0.001256349 0.0009617661 0.001994824 0.00095504045 0.00078689953 0.001003465 0.0013881715 0.00093889894 0.0008433949 0.0007250237 0.0013357116 0.000918722 0.00082725333 0.0008191826 0.0012267563 0.0009927041 0.0011420131 0.0008595364 0.0012267563 0.0012590393 0.00080304104 0.0009779077 0.001150084 0.0014877109 0.00082321797 0.0007694129 0.0014715694 0.0007411652 0.0008003508 0.00087164255 0.0012845966 0.0008178375 0.00080707646 0.001097624 0.0018912491 0.0008259082 0.00078286417 0.0008850938 0.0015563124 0.0013168798 0.0014002776 0.0011473937 0.002588025 0.0009375538 0.00086222665 0.0009429343 0.0014809853 0.0009886686 0.0021791065 0.0018508954 0.006955654 0.003855135 0.00348388 0.0030453685 0.0030480586 0.0008581913 0.002292097 0.0027965198 0.0027924846 0.0038040204 0.0013531982 0.0016545067 0.017442267 0.000875678 0.001953125 0.0015643832 0.0017621169 0.001298048 0.0013881715 0.0011231814 0.0014688792 0.0007102273 0.0012213757 0.0010774471 0.005942773 0.01425835 0.001151429 0.0022638494 0.0025382554 0.0016316395 0.0029686962 0.002302858 0.0031691203 0.0012011988 0.001171606 0.0014634986 0.0026768036 0.00089989026 0.0008420498 0.0010895532 0.013225293 0.0027615465 0.0008541559 0.0039035596 0.004498106 0.00083666923 0.0010949337 0.0009523502 0.0035444107 0.0019827178 0.0014796401 0.0013262957 0.0025799545 0.0011796767 0.0024535125 0.0018038158 0.0043945312 0.0016760287 0.0016545067 0.0020378681 0.004877432 0.0029592803 0.0035201984 0.05157622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001285695 4.377694e-05 2.6939655e-05 4.040948e-06 6.7349138e-06 0.0 0.0 0.0 5.387931e-06 6.7349138e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.010184537 0.00041689115 0.00014547414 3.434806e-05 7.0043105e-05 9.698276e-05 2.2898706e-05 3.6368536e-05 4.7144395e-06 3.3674569e-06 0.0 0.0 0.0 0.0 0.0 1.8857758e-05 0.00731479 0.00015086206 4.9838363e-05 2.1551725e-05 7.4084055e-05 4.2429958e-05 5.9940732e-05 0.00012122845 7.206358e-05 6.936961e-05 2.2225215e-05 1.5490301e-05 3.1654094e-05 2.963362e-05 1.6163793e-05 0.00018453664 0.015734106 0.00030711206 0.0001717403 8.890086e-05 0.0002337015 0.00016298491 0.0001798222 0.00022090517 0.00027680496 0.000120554956 5.859375e-05 0.00013133082 6.6002154e-05 0.00043911638 8.283944e-05 0.0024151402 0.022267645 0.0006162446 0.0004667295 0.00014614763 0.00024784482 0.00023841595 0.000390625 0.00033943966 0.00030845904 0.00034280712 0.00017308729 0.00020541486 0.0001724138 0.0005946929 0.00018655711 0.0036483028 0.01583715 0.00077047414 0.0005940194 0.00047077046 0.0023632813 0.0014379041 0.00030509158 0.00023639547 0.00025255926 0.00020743534 0.00016298491 0.00010843211 0.00018318965 0.00015894396 0.00019396552 0.0015449892 0.03327115 0.0004983836 0.0036173223 0.00091123383 0.002804418 0.0015948276 0.010813578 0.0047979527 0.00028825432 0.0001016972 7.273707e-05 0.00013200431 0.00012190194 5.0511855e-05 9.765625e-05 0.0015160291 0.036509294 0.000507139 0.004671336 0.0017786907 0.0027801725 0.0014917834 0.011949084 0.0058324356 0.00034684807 0.00012796336 0.00012661637 0.00015625 0.0001717403 0.00019665949 0.00027949893 0.0034193157 0.0115625 0.00055765087 0.00064520474 0.0007098599 0.001677667 0.0010405441 0.0046127425 0.0025074084 0.0003374192 0.00023841595 0.00023774245 0.00024515085 0.00020676185 0.00018116918 0.00026872306 0.0011779364 0.009219424 0.00046875 0.00086206896 0.00089574355 0.000742861 0.00047077046 0.0016029095 0.0010634429 0.0003899515 0.00032529634 0.00028556035 0.00035088902 0.00031452047 0.00027074353 0.00030845904 0.0017389547 0.010606143 0.0016648707 0.001674973 0.016553745 0.0024185076 0.0017423222 0.0020272091 0.0017840787 0.0013671875 0.0013860452 0.0011806304 0.0014203934 0.0015389278 0.0017147091 0.0012809807 0.0026737608 0.005619612 0.0007657597 0.00044450432 0.00069032866 0.0011159752 0.0010492996 0.0005616918 0.00061489764 0.0015402748 0.00026804957 0.00033472522 0.0005165679 0.0013146552 0.0014998653 0.0008836207 0.0020905172 0.0702566 0.0121733565 0.006069504 0.009438981 0.019113012 0.023172818 0.010084187 0.014936692 0.039948814 0.0032765355 0.0037378771 0.005806843 0.028863147 0.019426858 0.018257005 0.03819639 0.04097185 0.00876145 0.0049515087 0.009335938 0.014452452 0.016971309 0.007501347 0.012235318 0.026687097 0.002815194 0.002967403 0.005020205 0.017662311 0.011693157 0.011534886 0.022990301 0.008094693 0.0072279093 0.00728785 0.0077128233 0.0073019937 0.0072413795 0.0071140896 0.007220501 0.007134294 0.0074441 0.0070373113 0.007534348 0.0071841325 0.0068891435 0.0072817886 0.0075350218 3133.0 10.016916 31383.0 0.017875921 0.0019118631 0.0038555907 0.0022623714 0.004365421 0.0028677946 0.0021986426 0.0022623714 0.004715929 0.0028359303 0.0022623714 0.002740337 0.0039193192 0.0025172865 0.007551859 0.0021986426 0.014880667 0.015964057 0.015517956 0.01685626 0.015804736 0.0130643975 0.012140331 0.012905076 0.015454227 0.015103718 0.010961348 0.014466431 0.014912533 0.012650161 0.012745754 0.013032533 0.008603384 0.01867253 0.007201351 0.015517956 0.01577287 0.020265749 0.009145078 0.012363382 0.010419654 0.014816939 0.0028677946 0.0025810152 0.014944397 0.0085715195 0.010228468 0.011566772 0.01424338 0.003313896 0.015294905 0.021858968 0.018194564 0.006850843 0.007360673 0.011503043 0.01010101 0.0051620305 0.003887455 0.003058981 0.0036644044 0.002389829 0.0036325399 0.009049485 0.004301692 0.019883376 0.0047477935 0.013892872 0.016410159 0.045024376 0.0058630467 0.008061689 0.009750502 0.02246439 0.00544881 0.0034413536 0.019947106 0.010132874 0.020074563 0.021763375 0.01656948 0.0025491507 0.024471847 0.017844055 0.03807794 0.0111206705 0.005703725 0.005767454 0.0105152475 0.005289488 0.0025810152 0.001975592 0.0033457605 0.0023261001 0.0028359303 0.0019118631 6.223438 2.0 1.0 0.0 7.0 743424.0 778240.0 1.0 0.0 63.0 1.0 1.0 0.0 0.0 0.0 1247528400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 9.0 0.0 6.0 1.0 6.0 1.0 584192.0 1536.0 4096.0 7.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -560640.0 0.0 114176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6862955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.76855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.071219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.022154 0.0 7.4976416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2658.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -560374.0 0.0 113976.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 60.0 738532.0 113976.0 602112.0 0.0 0.0 0.0 0.0 23464.0 753664.0 28.0 6064.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 149456.0 0.0 0.0 0.0 0.0 64.0 533844.0 0.0 0.0