Input: 0.23955181 0.01594779 0.007066298 0.007520097 0.008632985 0.00636399 0.006396404 0.0035115394 0.0062883566 0.0032738352 0.004386723 0.0025607226 0.0028524506 0.0037924626 0.0022473852 0.01005921 0.00554283 0.0016855389 0.0012101305 0.0030361312 0.0029280838 0.005586049 0.0013073732 0.0014694443 0.0030901546 0.0018151958 0.0012425447 0.0010804737 0.0014586395 0.0018584147 0.000983231 0.0011128879 0.013916501 0.0009724263 0.0012425447 0.00084276946 0.01740643 0.0017395626 0.0009075979 0.0010588642 0.00369522 0.00086437893 0.0014046158 0.0017935863 0.0023446279 0.0014478348 0.0020853141 0.0020204857 0.010847956 0.00328464 0.0022689947 0.0053591495 0.0020312904 0.0010804737 0.000983231 0.0011993258 0.003111764 0.0025283084 0.0011561068 0.004646037 0.0012101305 0.00102645 0.00065908895 0.0008751837 0.009000346 0.009486559 0.0015774915 0.0034683205 0.009248855 0.0037168295 0.0025175037 0.0014478348 0.03879981 0.0054023685 0.00065908895 0.0012857637 0.008254819 0.0031333736 0.0017395626 0.0021933615 0.0059750197 0.00068069843 0.0020420952 0.0033818826 0.0033926873 0.00369522 0.00143703 0.0044083325 0.0030361312 0.0012965684 0.0009724263 0.0011020831 0.0037600484 0.0011020831 0.0014262253 0.0028416459 0.0028092316 0.004300285 0.00071311265 0.0045271846 0.003976143 0.0077037774 0.004559599 0.001966462 0.0032954447 0.0055644396 0.0005402368 0.0011344973 0.003738439 0.002755208 0.0049053505 0.0064180135 0.004970179 0.00082116 0.0061695045 0.0047000605 0.012252572 0.0060614576 0.0016207105 0.0017719768 0.0026039416 0.001274959 0.00071311265 0.00092920737 0.002420261 0.0010696689 0.0007995505 0.0012425447 0.0047432794 0.0025607226 0.0024094563 0.010621056 0.003241421 0.004883741 0.0021933615 0.00102645 0.0018584147 0.010869565 0.0007563316 0.025564007 0.002128533 0.009864724 0.0008535742 0.0013938111 0.0019124384 0.00061587 0.0005834558 0.0006482842 0.0011669116 0.00074552686 0.00046460368 0.0005294321 0.0012209353 0.0005402368 0.0005942605 0.0005618463 0.0010372547 0.0005834558 0.0005294321 0.0007239174 0.00164232 0.00081035524 0.0005294321 0.0008319647 0.0010372547 0.0007239174 0.0009075979 0.001274959 0.0014586395 0.00086437893 0.00086437893 0.0012857637 0.0013938111 0.00065908895 0.0007239174 0.00123174 0.0015450773 0.00060506526 0.0005834558 0.0007563316 0.0012533495 0.0007995505 0.00057265104 0.0022041663 0.0022473852 0.0015666868 0.0008751837 0.0013397874 0.0010480594 0.0006482842 0.00102645 0.0012101305 0.0066989367 0.0020637047 0.0011236926 0.0041922377 0.0033386636 0.0015018585 0.0016639294 0.0025283084 0.0021177283 0.0018368053 0.00082116 0.00123174 0.022884432 0.0009724263 0.00102645 0.0016639294 0.0020745094 0.00089679315 0.00164232 0.000777941 0.0006698937 0.0009616216 0.0005834558 0.0009184026 0.002301409 0.0009184026 0.0007671363 0.0014586395 0.00082116 0.0007347221 0.0006374795 0.00071311265 0.0016747342 0.0007671363 0.0005942605 0.00051862735 0.00071311265 0.0004429942 0.00043218947 0.00057265104 0.005499611 0.00246348 0.0008751837 0.0027660127 0.0021069236 0.0007023079 0.00048621316 0.0005834558 0.0023230184 0.0007239174 0.0006482842 0.0033170541 0.0010156452 0.00062667474 0.0011344973 0.0013073732 0.0023662373 0.0010480594 0.00092920737 0.0005834558 0.0011453021 0.00082116 0.0008751837 0.042765148 0.011235955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0105885705 5.4863062e-06 2.1945225e-05 2.1945225e-05 2.1945225e-05 1.09726125e-05 3.8404145e-05 3.8404145e-05 3.2917837e-05 1.09726125e-05 1.09726125e-05 0.00016458919 5.4863062e-06 0.000104239814 9.875351e-05 6.0349368e-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 0.009474851 2.7431532e-05 0.00014264396 0.0001755618 0.0003511236 0.00019202071 0.0005705758 0.0001755618 6.0349368e-05 5.4863062e-06 0.0 1.6458918e-05 5.4863062e-06 5.4863062e-06 1.09726125e-05 2.1945225e-05 0.016480863 0.00022493856 0.0006912746 9.875351e-05 0.00021396595 6.583567e-05 4.9376755e-05 9.3267205e-05 6.0349368e-05 0.00010972613 4.389045e-05 4.389045e-05 8.77809e-05 6.583567e-05 4.9376755e-05 0.0040927846 0.025286386 0.0019366661 0.0008558638 0.0004443908 0.00077356916 0.00033466468 0.00065287045 0.00047182234 0.0009710762 0.0001755618 0.00024688378 0.00044987712 0.00048828125 0.0001755618 9.3267205e-05 0.0003511236 0.007823473 8.2294595e-05 0.00011521243 0.0001700755 0.00012618504 8.2294595e-05 8.77809e-05 0.00040050034 0.0005650895 0.00030174683 0.00021945225 0.0007132198 6.583567e-05 0.0001700755 0.00016458919 0.00014813026 0.04097722 0.0013002546 0.0011685832 0.0010917749 0.0042902916 0.0017611043 0.0039336816 0.002924201 0.0014428985 0.00065287045 0.0020025019 0.00075711025 0.00077356916 0.00040598665 0.00032369207 0.0036099895 0.042431094 0.0026498858 0.007038931 0.0020738237 0.0046469015 0.0028199614 0.0050583743 0.0033795645 0.0012234463 0.0010698297 0.0007132198 0.0014374122 0.0012399053 0.00060897996 0.00046633603 0.0017940222 0.008739686 0.0007845418 0.0003675825 0.00049925386 0.001541652 0.0013221998 0.004987052 0.0023865432 0.0002798016 0.00010972613 0.00013167135 0.00021945225 0.00024688378 8.77809e-05 7.132198e-05 0.0006967609 0.018521769 0.0008448911 0.0010808023 0.0015032479 0.004125702 0.001684296 0.0042793187 0.002419461 0.0028967697 0.0004279319 0.002562105 0.00089975423 0.0015361657 0.000537658 0.00049925386 0.0011246927 0.013655416 0.002403002 0.0009985077 0.0015855425 0.006364115 0.0054753334 0.008706768 0.0059252107 0.0010533708 0.00059800735 0.0003456373 0.0003511236 0.0010698297 0.00048828125 0.00044987712 0.0067097526 0.08217938 0.013232971 0.025440002 0.014560657 0.06162219 0.015438465 0.009189563 0.01572924 0.058972307 0.004065353 0.004460367 0.006841424 0.039331328 0.00822946 0.012410024 0.03279165 0.040291432 0.011186578 0.015026992 0.018483365 0.018247453 0.010681838 0.019459927 0.014401554 0.017682364 0.0043835584 0.004827949 0.0058154846 0.010956153 0.005442416 0.0061885533 0.010407523 0.002024447 0.0005650895 0.00076259655 0.0011192064 0.0005211991 0.00060349365 0.0013221998 0.00094364467 0.00049925386 0.00042244556 0.0005431443 0.00040050034 0.0003620962 0.00040598665 0.00031271947 0.0004279319 656.0 15.801829 10366.0 0.07341308 0.00077175384 0.000868223 0.0010611615 0.010515146 0.0027976076 0.0015435077 0.0032799537 0.0024117306 0.0015435077 0.00077175384 0.0014470384 0.0019293845 0.0057881535 0.010129269 0.010032799 0.031448968 0.016496237 0.0134092225 0.009646922 0.003376423 0.003376423 0.0032799537 0.0023152614 0.004823461 0.006945784 0.0031834845 0.0032799537 0.00077175384 0.0020258538 0.000868223 0.0012540999 0.0036658307 0.027879607 0.0027011384 0.016496237 0.011383369 0.01119043 0.011383369 0.0039552385 0.009357515 0.0087787 0.00057881535 0.001736446 0.008875169 0.008875169 0.0054022768 0.009164576 0.010708084 0.00057881535 0.009261046 0.014663323 0.012541 0.0065599075 0.0064634383 0.025950221 0.003858769 0.0012540999 0.0028940768 0.000868223 0.004630523 0.0030870154 0.002990546 0.013505692 0.0016399769 0.026818445 0.0025081998 0.027590198 0.016785646 0.052189853 0.011962184 0.011383369 0.009646922 0.039166506 0.0014470384 0.0026046692 0.018522091 0.018232685 0.03241366 0.045629945 0.020644415 0.0012540999 0.038298283 0.029230176 0.048524022 0.016882114 0.0064634383 0.008103415 0.004823461 0.004726992 0.000868223 0.0013505692 0.0025081998 0.0013505692 0.00028940768 9.646923e-05 5.7383056 3.0 26.0 0.0 2.0 92552.0 98304.0 1.0 4.0 105.0 1.0 1.0 1.0 0.0 0.0 1278908800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 6.0 0.0 56320.0 1024.0 4096.0 7.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 -46592.0 0.0 13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5032825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.472136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2983549 0.0 0.0 0.0 -6.0942035 0.0 0.0 0.0 0.0 -6.099701 0.0 4.6095905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -994.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1776.0 0.0 0.0 0.0 2196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4040.0 0.0 0.0 0.0 -9680.0 0.0 0.0 0.0 0.0 -46455.0 0.0 13624.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167.0 50384.0 160.0 47648.0 13624.0 77824.0 1776.0 69632.0 15240.0 77312.0 724.0 94208.0 28.0 5088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 896.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.50533855 0.0067708334 0.0026041667 0.0020833334 0.005078125 0.0010416667 0.0018229167 0.000390625 0.003125 0.0010416667 0.0020833334 0.00013020834 0.005078125 0.00052083336 0.00091145834 0.0015625 0.012109375 0.0018229167 0.001953125 0.00078125 0.002734375 0.00703125 0.001171875 0.003515625 0.0049479166 0.0020833334 0.0013020834 0.00052083336 0.0028645834 0.00026041668 0.00052083336 0.00078125 0.003125 0.001953125 0.0016927083 0.0006510417 0.011067708 0.007421875 0.0014322917 0.00052083336 0.0014322917 0.00026041668 0.010677083 0.00026041668 0.003125 0.00091145834 0.0026041667 0.0006510417 0.0018229167 0.001171875 0.0024739583 0.0028645834 0.0016927083 0.0010416667 0.00013020834 0.0 0.0010416667 0.0010416667 0.00078125 0.00091145834 0.0020833334 0.00091145834 0.00078125 0.00052083336 0.003515625 0.0053385417 0.00078125 0.002734375 0.0065104165 0.00234375 0.00390625 0.0018229167 0.0022135417 0.00078125 0.0010416667 0.0018229167 0.0052083335 0.0015625 0.0018229167 0.00078125 0.007421875 0.0037760416 0.0049479166 0.00390625 0.0024739583 0.0036458333 0.00546875 0.003515625 0.000390625 0.00026041668 0.00026041668 0.0015625 0.001953125 0.00091145834 0.0024739583 0.001953125 0.006640625 0.005989583 0.00078125 0.0046875 0.0052083335 0.012239584 0.001953125 0.0013020834 0.008333334 0.0053385417 0.005729167 0.00078125 0.008984375 0.0022135417 0.0045572915 0.005989583 0.0037760416 0.00026041668 0.007421875 0.0052083335 0.010026041 0.0045572915 0.0015625 0.001953125 0.0032552083 0.0020833334 0.00052083336 0.00013020834 0.001171875 0.00026041668 0.00026041668 0.00091145834 0.0033854167 0.003125 0.000390625 0.0024739583 0.0026041667 0.0032552083 0.000390625 0.00078125 0.00052083336 0.001953125 0.001171875 0.006119792 0.0020833334 0.005729167 0.0006510417 0.000390625 0.00703125 0.0010416667 0.001171875 0.000390625 0.0010416667 0.00013020834 0.00026041668 0.000390625 0.0013020834 0.00052083336 0.00013020834 0.00013020834 0.00052083336 0.00078125 0.00052083336 0.00026041668 0.011197916 0.00052083336 0.00052083336 0.00026041668 0.0006510417 0.00026041668 0.00078125 0.000390625 0.00052083336 0.000390625 0.00026041668 0.00091145834 0.0006510417 0.0006510417 0.00026041668 0.00026041668 0.001953125 0.00026041668 0.000390625 0.00013020834 0.0013020834 0.0 0.00013020834 0.00052083336 0.00052083336 0.00091145834 0.00013020834 0.00052083336 0.00052083336 0.00078125 0.000390625 0.000390625 0.0049479166 0.00013020834 0.00078125 0.0024739583 0.0022135417 0.0010416667 0.00091145834 0.0013020834 0.00052083336 0.00026041668 0.00013020834 0.00013020834 0.001171875 0.000390625 0.0006510417 0.000390625 0.001171875 0.0006510417 0.00013020834 0.00013020834 0.0006510417 0.00013020834 0.001953125 0.00078125 0.0006510417 0.0006510417 0.000390625 0.0013020834 0.0006510417 0.0006510417 0.0006510417 0.0006510417 0.00078125 0.00052083336 0.000390625 0.00026041668 0.0 0.00026041668 0.00026041668 0.000390625 0.0036458333 0.00026041668 0.000390625 0.00078125 0.0014322917 0.0010416667 0.00026041668 0.000390625 0.0010416667 0.000390625 0.00026041668 0.0006510417 0.00013020834 0.00091145834 0.001171875 0.0006510417 0.0010416667 0.00078125 0.00026041668 0.000390625 0.0006510417 0.00052083336 0.001171875 0.010026041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1451009 0.0 0.0050455728 0.00048828125 0.0010579427 0.0012207031 0.009847005 0.00390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12198893 0.0017903646 0.0017903646 0.00048828125 0.0065104165 0.0032552083 0.018717447 0.008951823 0.00024414062 0.00048828125 0.0011393229 8.138021e-05 0.00024414062 0.0 0.00016276042 0.00081380206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13793945 0.022054037 0.024902344 0.009358724 0.014322917 0.021647135 0.0234375 0.011474609 0.01936849 0.0077311196 0.007975261 0.0039876304 0.009033203 0.004964193 0.0052083335 0.009928386 0.053385418 0.0094401045 0.012207031 0.0030110676 0.011474609 0.011230469 0.024332682 0.011230469 0.008626302 0.0033365886 0.0052897134 0.0006510417 0.0038248699 0.0012207031 0.0012207031 0.006184896 0.045166016 0.011230469 0.009521484 0.0073242188 0.012288411 0.011149089 0.014322917 0.010660808 0.010253906 0.0053710938 0.0052083335 0.0043945312 0.0052897134 0.0050455728 0.0044759116 0.004964193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78.0 12.038462 939.0 0.0031948881 0.0010649627 0.0021299254 0.0021299254 0.0053248135 0.050053246 0.008519702 0.0010649627 0.0 0.0021299254 0.0010649627 0.0010649627 0.0031948881 0.0 0.015974442 0.0031948881 0.0031948881 0.0021299254 0.008519702 0.009584664 0.0010649627 0.0010649627 0.0 0.0 0.0 0.0010649627 0.0010649627 0.0010649627 0.0021299254 0.0 0.0 0.0 0.0053248135 0.026624069 0.0 0.010649627 0.010649627 0.0127795525 0.0127795525 0.0053248135 0.0053248135 0.0021299254 0.004259851 0.007454739 0.0127795525 0.0063897762 0.004259851 0.0031948881 0.017039403 0.0063897762 0.018104367 0.010649627 0.004259851 0.007454739 0.017039403 0.007454739 0.0 0.0010649627 0.0 0.0 0.01171459 0.0 0.004259851 0.0021299254 0.03514377 0.033013843 0.0031948881 0.025559105 0.028753994 0.08839191 0.0031948881 0.007454739 0.01171459 0.036208734 0.008519702 0.0031948881 0.05857295 0.013844515 0.02768903 0.041533545 0.017039403 0.0021299254 0.048988286 0.033013843 0.03940362 0.020234292 0.0010649627 0.010649627 0.014909478 0.013844515 0.0021299254 0.0 0.0 0.0 0.0 0.0021299254 5.4879193 0.0 1.0 0.0 1.0 7680.0 24576.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 558322500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 4.0 0.0 2560.0 512.0 4096.0 3.0 0.0 2.0 1.0 3.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.713619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.28040117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 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 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: 0.056782037 0.0083109075 0.0061748247 0.0056633684 0.005750513 0.004967248 0.0041964324 0.0054195705 0.005050243 0.005627058 0.0037503345 0.0044640913 0.004952724 0.003183894 0.0043271496 0.004636306 0.0050388314 0.0037648587 0.0049330126 0.004150785 0.0043561975 0.0031807816 0.004105138 0.0038395543 0.0050772163 0.0033436592 0.0031589954 0.0029234972 0.0041414485 0.0034411785 0.0037928694 0.0037990941 0.0061696377 0.0038208803 0.0034868256 0.0030168667 0.004903964 0.0041746465 0.0038478537 0.003725436 0.0047286376 0.0038955756 0.0033384722 0.0030884498 0.004377984 0.003716099 0.0037295858 0.00358227 0.0055191647 0.0039453725 0.0031019365 0.0028923743 0.0036766767 0.003077038 0.0026952613 0.0028581389 0.004167384 0.0033156485 0.0035231358 0.0033446967 0.004011769 0.003226429 0.0035054996 0.0034525902 0.006603286 0.0039547095 0.0036144303 0.0032233165 0.0041611595 0.0032253915 0.003544922 0.0030718509 0.0050087455 0.003777308 0.0037140243 0.0035884944 0.0041331486 0.003126835 0.0035511467 0.0034525902 0.005171623 0.003625842 0.0036424412 0.003333285 0.0039287736 0.0033810071 0.0033633707 0.0035418097 0.004645643 0.003646591 0.0038188053 0.0035075743 0.0041092876 0.0033872316 0.0036901631 0.0038032439 0.0059061283 0.0036268795 0.0033415845 0.0029473584 0.0040086564 0.0030573267 0.0032617017 0.0030303532 0.004971398 0.0031683324 0.0031953058 0.0030573267 0.0035750077 0.0028311654 0.0030874123 0.0031859688 0.0045035137 0.003295937 0.0032202043 0.0031465462 0.003891426 0.00333121 0.0032948998 0.003625842 0.004624894 0.0033031993 0.0034702267 0.0031631452 0.00403563 0.0032015303 0.0034629644 0.0033436592 0.008663636 0.004593771 0.004022143 0.0035272855 0.004364497 0.0034349537 0.003017904 0.0033872316 0.004539824 0.0038302173 0.0029629199 0.0031942683 0.003732698 0.00279693 0.0028456897 0.0029878183 0.0052359444 0.0032056803 0.0034868256 0.0030189415 0.0036642272 0.0031735196 0.0033011243 0.0032700012 0.004541899 0.0028373902 0.003038653 0.0026952613 0.0035096493 0.0032295412 0.0029836686 0.0031475837 0.005013933 0.00341213 0.003268964 0.0027979675 0.0037762704 0.0030158293 0.0030562892 0.003181819 0.0041414485 0.0029971553 0.003117498 0.003017904 0.003646591 0.0028332402 0.0029183102 0.0030376154 0.004667429 0.0031133483 0.0038405915 0.0028508767 0.0035667082 0.0031496587 0.002984706 0.0031206103 0.004256604 0.003145509 0.0033353597 0.0031724821 0.0036528155 0.0031859688 0.0033280978 0.003349884 0.006721554 0.0040532663 0.0037233613 0.0033322475 0.004119662 0.0032513274 0.003307349 0.003224354 0.004321962 0.0033270603 0.0031112735 0.0030791129 0.0036455535 0.0029836686 0.003074963 0.0027958925 0.004249342 0.0032700012 0.0030843 0.0029971553 0.003710912 0.0030116795 0.0029286845 0.0029400964 0.003978571 0.0031091985 0.0027294967 0.0026413144 0.0035345478 0.0029494332 0.00358227 0.0028788876 0.0049475366 0.0032378407 0.0033934563 0.0029712194 0.0038001316 0.0030666636 0.0031973806 0.0029079358 0.004439193 0.005457956 0.003464002 0.0031372092 0.0037835327 0.0030718509 0.0032471777 0.0032015303 0.004615557 0.0033135735 0.0034245793 0.0030469524 0.0037409978 0.0030832626 0.0033125363 0.0032378407 0.0043510105 0.0030355405 0.0031880438 0.0028654009 0.0040138434 0.0030946743 0.0042296303 0.004523225 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 4023.0 5.703455 22945.0 0.017215079 0.010459796 0.009326651 0.008672914 0.013423404 0.012508172 0.011810852 0.011549357 0.012551754 0.009762475 0.008455001 0.008585748 0.013859228 0.010503378 0.011854434 0.009936806 0.016692089 0.011898017 0.008672914 0.0074961865 0.009849641 0.008542166 0.007932011 0.008324253 0.010285465 0.008455001 0.009718893 0.008847243 0.011462192 0.008977991 0.009631728 0.009195903 0.017999563 0.010852038 0.010329048 0.009152321 0.010852038 0.008847243 0.0107212905 0.0083678365 0.014207888 0.011636522 0.009762475 0.009021574 0.011462192 0.009326651 0.011636522 0.0095445635 0.014818043 0.009588146 0.009980388 0.009021574 0.012072347 0.009370233 0.0095445635 0.009806058 0.013684899 0.009195903 0.010634125 0.00950098 0.011157115 0.009806058 0.0104162125 0.010677707 0.017955981 0.010982785 0.009675311 0.008149924 0.013074744 0.008237089 0.009370233 0.008324253 0.015428198 0.009326651 0.008890826 0.008716496 0.011331445 0.0080627585 0.009936806 0.008019176 0.013205491 0.008019176 0.008760079 0.008760079 0.01141861 0.009370233 0.008193506 0.007888429 0.010852038 0.008890826 0.0119416 0.008585748 0.011331445 0.009108738 0.009980388 0.008760079 6.55477 0.0 0.0 0.0 14.0 963914.0 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: 0.027524421 0.0037374552 0.0034917155 0.0042147115 0.0048737046 0.0044920575 0.003380303 0.004067742 0.0068854513 0.0036497475 0.003829904 0.0034126996 0.004351409 0.0036110296 0.003280743 0.0035920658 0.0034798633 0.0035754724 0.0036647606 0.0037896058 0.004853951 0.003913661 0.0035430759 0.0033921555 0.003943687 0.004240787 0.0037327143 0.0034877649 0.003449047 0.0036497475 0.0036837244 0.003385044 0.0030160395 0.0035154202 0.003651328 0.0034664304 0.005217424 0.0036600195 0.0035738922 0.00356283 0.003706639 0.003588115 0.0037500977 0.0035122598 0.0037200716 0.003705849 0.004288987 0.0076376833 0.003845707 0.004111991 0.0039065494 0.0038970674 0.003983195 0.0034743322 0.0035659906 0.0035225318 0.0035422859 0.0034853944 0.003588115 0.0035667808 0.0037943467 0.0037097996 0.003445096 0.003226222 0.003410329 0.0038141008 0.003790396 0.0041048797 0.0035588793 0.0039713425 0.003756419 0.0035343843 0.003671872 0.0038480775 0.0035857446 0.0053675547 0.0046998695 0.004128584 0.003632364 0.0036710817 0.005303552 0.003637105 0.0036442163 0.004040086 0.0039721327 0.0038907463 0.0037864451 0.0035675708 0.003784865 0.003350277 0.0035414957 0.0035833742 0.0037335043 0.0036252525 0.0034134898 0.0032135793 0.0033170902 0.007858138 0.003701898 0.0070600766 0.0042478982 0.008329073 0.0038283237 0.0048610624 0.005380987 0.0057815984 0.003445096 0.00371138 0.006711616 0.004398819 0.007260777 0.005873257 0.0042099706 0.0038362253 0.00727658 0.0061008227 0.007195984 0.0064666667 0.0036315739 0.0037722222 0.0039531686 0.003538335 0.0032688905 0.0033028675 0.003622882 0.0034340338 0.003226222 0.0030539671 0.0027868932 0.0033494867 0.0034672206 0.0034427256 0.0038077794 0.0037453568 0.0045157624 0.0034206011 0.0034324536 0.0048025902 0.003706639 0.0037967172 0.0036252525 0.0036481672 0.0037540486 0.003632364 0.0036544884 0.003469591 0.0034972467 0.0033921555 0.0035019876 0.0034782828 0.0038046187 0.0033724015 0.0034253423 0.003429293 0.0036252525 0.00346327 0.0034830237 0.0045473687 0.003726393 0.0032096286 0.0032325431 0.0038472875 0.0035391252 0.0035762626 0.0035762626 0.0037311339 0.003651328 0.003345536 0.003384254 0.0034324536 0.0033439556 0.0033771424 0.0033961062 0.003607079 0.003568361 0.003172491 0.0033621294 0.0034711715 0.0033479065 0.0033147198 0.003548607 0.0033226213 0.0036181412 0.0033518574 0.004074063 0.0034166505 0.0035098894 0.003419021 0.0034861844 0.0031645894 0.0034782828 0.0030911046 0.0034846042 0.0035328039 0.0036220918 0.0041641416 0.0035691513 0.0036726622 0.003641846 0.0040811747 0.0032933855 0.003410329 0.0033866244 0.0036284132 0.0034340338 0.0034751222 0.003410329 0.0033645 0.0034964564 0.0035209514 0.003790396 0.003879684 0.0032278022 0.0031914548 0.0032475563 0.0035422859 0.003374772 0.0033139295 0.003385044 0.0036971571 0.0036560688 0.0033613392 0.0032436054 0.0032538774 0.0034853944 0.0038725724 0.0038417564 0.0038623004 0.0032744217 0.0033020773 0.0032436054 0.0034601092 0.0039381557 0.0035170007 0.0030215706 0.003257038 0.0034577388 0.0032839035 0.0035154202 0.0032617792 0.0037493077 0.003855189 0.0040645814 0.003275212 0.0033889948 0.0029931248 0.0031906648 0.0033083984 0.0037398257 0.0030942652 0.0030650294 0.0030547574 0.0033921555 0.002989964 0.003226222 0.006181419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009191875 3.6007776e-05 4.0360363e-05 6.805865e-05 4.866985e-05 5.7770714e-05 0.00014996645 7.280693e-05 1.7014663e-05 7.1224167e-06 5.5396576e-06 3.956898e-06 2.7698288e-06 1.978449e-06 2.374139e-06 0.00018716129 0.0006240029 7.834659e-05 0.00011712419 7.1619856e-05 9.496556e-05 5.6187957e-05 0.0001361173 7.00371e-05 4.3525883e-06 1.4244833e-05 1.5827593e-06 1.5827593e-06 7.9137965e-07 1.1870695e-06 2.374139e-06 0.0003462286 0.0024726659 6.4101754e-05 0.00027777426 0.0003181346 0.00029360186 0.00019388802 0.00070234947 0.00042497087 0.00011395867 0.00012385091 3.9964674e-05 3.7590533e-05 5.7375026e-05 4.1151743e-05 6.687158e-05 0.00044435967 0.00017370784 0.00012543368 0.0001559018 0.00013888713 0.00013136903 0.00010960608 8.15121e-05 5.6187957e-05 3.4029326e-05 1.4244833e-05 5.9353474e-06 7.9137965e-07 2.7698288e-06 1.978449e-06 3.5612084e-06 0.00058482954 0.00019665784 0.0002999329 0.00034820705 0.00030428547 0.00023899665 0.00016144145 0.00010525349 9.021728e-05 3.1655185e-05 1.1475005e-05 8.705177e-06 1.5827593e-06 3.9568982e-07 0.0 0.0 0.0006323123 0.0048345383 0.0006259813 0.0015495213 0.000586808 0.001116241 0.0006738598 0.00033198376 0.00073994 0.0023915493 0.0004859071 0.0004704752 0.0006275641 0.0006885003 0.0002757958 0.00084558915 0.0015839464 0.00078069605 9.852677e-05 0.0002643208 0.00011870695 0.00023226993 0.0001673768 4.1151743e-05 0.00013572161 0.0004621657 0.00017014662 5.6979334e-05 0.00011633281 0.00013730438 5.6187957e-05 0.00017806042 0.0002255432 0.07810007 0.05847267 0.060844038 0.05707549 0.060400072 0.058701772 0.084243946 0.06832614 0.055893563 0.05628015 0.055221286 0.054196447 0.05629044 0.054829158 0.05450113 0.05258797 6461.0 14.802507 95639.0 0.0042451303 0.0027917481 0.0034504752 0.0032099877 0.009671787 0.003586403 0.0033145475 0.0033250034 0.0032204436 0.0034818433 0.0031577076 0.0031054276 0.0030636038 0.003586403 0.013718253 0.059536383 0.003544579 0.005656688 0.004443794 0.004161482 0.0038687147 0.0031890755 0.003471387 0.0033668273 0.0032413555 0.0031367957 0.0035132112 0.003607315 0.0030426919 0.0026871883 0.002833572 0.0023212289 0.0025094366 0.0047992975 0.005865808 0.0065768147 0.0038059787 0.006325871 0.0056776 0.004328778 0.004234674 0.004945681 0.003753699 0.0038059787 0.00562532 0.00731919 0.003523667 0.0033981954 0.006064472 0.0034400192 0.005102521 0.0074342056 0.005018873 0.0045692655 0.004234674 0.0033877394 0.0034504752 0.0028544841 0.0035027552 0.0035132112 0.0031786195 0.0032204436 0.0032308996 0.003471387 0.003032236 0.056640074 0.0061167516 0.04954046 0.014387436 0.064816654 0.0056880563 0.021612521 0.028356632 0.028931713 0.0035654912 0.0069845985 0.0472506 0.011606144 0.050910193 0.036407743 0.0114179365 0.0033145475 0.057215154 0.038038876 0.048118446 0.04152072 0.005740336 0.006555903 0.0053011845 0.004945681 0.0034922992 0.0030740597 0.002749924 0.002906764 0.0025512604 0.0024885247 5.6130304 0.0 1.0 5.0 21.0 1265567.0 94208.0 0.0 0.0 88.0 0.0 1.0 0.0 0.0 0.0 1531932000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 56.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 6.0 1.0 0.0 1.0 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 1536.0 0.0 0.0 0.0 0.0 0.0 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 -25088.0 -3072.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4560113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.875394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0364037 -5.02006 5.5675426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36400.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24704.0 -2728.0 10836.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2728.0 77824.0 10836.0 81920.0 0.0 0.0 4032.0 2783632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.16644298 0.016476387 0.008739876 0.0042843074 0.009010728 0.0048576584 0.0032474361 0.0028909536 0.0095226485 0.0019899737 0.0019331971 0.002652678 0.0071957377 0.0016669986 0.0015608915 0.011063994 0.0050130957 0.0012891084 0.0012462932 0.0038803557 0.0030091605 0.0032586055 0.0018103364 0.0013449542 0.0033637818 0.0011029555 0.0012304703 0.0018857282 0.004768305 0.001129017 0.0015515839 0.001460369 0.0040153167 0.0013998693 0.0012025473 0.0010843403 0.007512198 0.0011634552 0.0009456564 0.0009866101 0.0019639125 0.0010191868 0.00095961784 0.001661414 0.0014008001 0.001330062 0.001065725 0.0010387328 0.003275359 0.0017628673 0.0020113813 0.005633916 0.0026498856 0.0019173742 0.0019043435 0.0019508817 0.0027885695 0.003094791 0.002083981 0.0049516656 0.00325209 0.0032492978 0.002549363 0.004972142 0.0042051924 0.0033321357 0.0020635042 0.0032213747 0.0048353197 0.010238406 0.004207054 0.003932479 0.0061858585 0.0040460317 0.0019620508 0.0056385696 0.0056385696 0.0056413617 0.002384618 0.008277286 0.007072877 0.0030556987 0.0022021881 0.004136316 0.0027811234 0.0049116425 0.0047496897 0.004033001 0.0022152187 0.003414043 0.0012360548 0.0021817111 0.0020821195 0.003627188 0.003350751 0.003607642 0.0018959666 0.002952384 0.0018801437 0.002474902 0.0027122467 0.004408099 0.0059010447 0.0023334257 0.004342015 0.0029002612 0.0066866097 0.0018578053 0.0024851405 0.0056925537 0.0021333115 0.0020337198 0.0020886348 0.00082931085 0.0025158555 0.0022263878 0.008449477 0.009155927 0.0025233016 0.004258246 0.0016604833 0.0013905617 0.000805111 0.0020197583 0.0016986446 0.0028648921 0.00170516 0.0017591442 0.0029021227 0.001981597 0.00094472565 0.010482267 0.0045570214 0.0077272044 0.0010480405 0.0012062704 0.0020774656 0.010033638 0.0012649085 0.028069055 0.001306793 0.008595607 0.0010154637 0.0009614794 0.0012779392 0.0006962116 0.0006887655 0.0007529882 0.0010936479 0.0010033638 0.0007846342 0.00075484975 0.0011467015 0.0010499019 0.00074740365 0.00078370346 0.0011234323 0.0008134879 0.0007017962 0.0008795721 0.0012574624 0.0010573481 0.0007120346 0.0009223873 0.0010275637 0.00096520246 0.000738096 0.0008032495 0.0013161006 0.0010694481 0.0009344872 0.0009558948 0.0014343075 0.0013086544 0.0008041802 0.00087771064 0.0022794416 0.0037500488 0.0007483344 0.00085258 0.0010889941 0.00091680273 0.0014706074 0.0021146962 0.0018317439 0.0012230241 0.0011392554 0.0008600261 0.0012248857 0.0010908556 0.0011411168 0.0026861853 0.0070458846 0.0028555845 0.0028406922 0.0025307478 0.002494448 0.00088515674 0.0020160351 0.005830307 0.0026182397 0.0034503427 0.0012649085 0.0017740366 0.0026731547 0.0017153984 0.003579719 0.00310596 0.0032148594 0.0032800129 0.0031431906 0.0029067765 0.003429866 0.0032883899 0.0030147452 0.0020728118 0.0031599444 0.0019974199 0.0013719464 0.0029458685 0.0029235303 0.0024376714 0.0016911986 0.0015487915 0.0025270248 0.0011792782 0.0012732854 0.00094937946 0.0023352874 0.0017219137 0.0011522861 0.0012677008 0.015026256 0.0056190235 0.0022468646 0.005762361 0.006160728 0.002719693 0.0032148594 0.0033433049 0.0041809925 0.00155903 0.0014789843 0.0011978935 0.0023185336 0.0011401861 0.0025865936 0.002541917 0.0065153493 0.0037761102 0.0029011918 0.0033023513 0.004162377 0.0023911332 0.013028837 0.06545134 0.024801705 0.0 1.8636689e-06 0.0 0.0047476967 8.8524275e-06 2.7955034e-06 0.0 0.0 0.0 4.6591722e-07 0.0 1.6307104e-05 4.6591722e-07 0.0 0.0 0.0008773221 1.8636689e-06 0.0 2.329586e-06 0.0 0.0 0.0 9.3183445e-07 2.7955034e-06 0.0 0.0 0.0 2.329586e-06 0.0 1.8636689e-06 6.476249e-05 0.0008871064 1.3977517e-06 1.3977517e-06 2.9818702e-05 4.6591722e-07 1.8636689e-06 9.3183445e-07 9.3183445e-07 1.3977517e-06 9.3183445e-07 0.0 1.4443434e-05 2.329586e-06 0.0 9.3183445e-07 1.0250179e-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 0.004833891 9.3183444e-05 0.00010250179 0.00014676392 0.0006713867 2.4227696e-05 6.848983e-05 0.00044961012 1.9102607e-05 1.3977517e-05 1.3045682e-05 5.1716812e-05 3.8205213e-05 3.2614207e-05 1.6307104e-05 0.000104365456 0.013628079 0.0018017018 7.408084e-05 0.00067697774 0.0034901858 0.0018809078 0.0011154058 9.970629e-05 3.540971e-05 2.189811e-05 0.000422121 0.0002301631 2.7489115e-05 8.246735e-05 0.00011647931 0.00015188902 0.014412683 0.0019405453 0.00044774645 0.00077435444 0.0009798239 0.00047523557 0.0021967997 0.00032334655 5.8239653e-05 0.0001108883 7.920593e-05 0.00057494186 0.00012300214 0.0011242583 0.0003517675 0.0017905199 0.021225791 0.0015980961 0.0017998383 0.0012752154 0.0021357646 0.001193214 0.0052876947 0.0017495191 0.00014443434 0.00014629801 0.0008680038 0.00044448502 0.00039416598 0.0010567002 0.0003759952 0.0022895173 0.012196781 0.00069095526 0.00086148095 0.0005600325 0.0015137651 0.0008232757 0.0035391073 0.00146298 0.00012626356 0.00016260511 0.00021571967 0.0004603262 0.0005618962 0.0007170466 0.00042864383 0.002396678 0.02099889 0.0006005673 0.0008032413 0.00069561444 0.0059106257 0.002094298 0.0051367376 0.0028174014 0.0005726123 0.0005493164 0.0008563559 0.00058798754 0.0035255956 0.0017350757 0.0016367672 0.0039598304 0.003399798 0.0021227188 0.00029911887 0.0004757015 0.0030783152 0.004092617 0.006180858 0.0028733115 0.00046079213 0.00038857496 0.00030144845 0.0023677913 0.0023896894 0.008375328 0.007811102 0.016451538 0.0066155586 0.0019619775 0.0012868633 0.013766456 0.0032260108 0.0020574904 0.0045189313 0.0023822347 0.0011997368 0.0010385294 0.0011182013 0.0022210274 0.0019955235 0.005240171 0.0046358765 0.009712511 0.013129082 0.0018040314 0.0014285023 0.0036886667 0.004890733 0.0029175736 0.0031924648 0.0021003548 0.0039262846 0.0008060368 0.0010138359 0.001930295 0.003461765 0.004315791 0.0046079215 0.011672159 0.060690377 0.008949338 0.0071690683 0.009167853 0.020068452 0.016147759 0.007920126 0.013077364 0.038714927 0.0028709818 0.002690206 0.0052844333 0.014759325 0.0067977323 0.015512714 0.033538118 0.04918362 0.010802757 0.009569474 0.0100242095 0.020235252 0.018014224 0.008671185 0.013600124 0.033938807 0.0031472708 0.003608529 0.0051651583 0.014292011 0.007831137 0.015454474 0.031232761 0.006116561 0.0050118715 0.004926609 0.0066546956 0.0049345293 0.004984848 0.00489679 0.005021656 0.0050677815 0.005055668 0.005004883 0.0051027252 0.005126953 0.005160965 0.0056105754 0.0052923537 3192.0 13.400376 42774.0 0.018399028 0.0020573246 0.0028054425 0.0027119278 0.010239866 0.0027119278 0.0019404311 0.0035535605 0.0043951934 0.0033197736 0.0024080048 0.0032730163 0.004021134 0.0036470753 0.0030392294 0.0027586853 0.014190864 0.009561883 0.0099593215 0.014377893 0.012694628 0.010310002 0.009281339 0.009187824 0.011993267 0.012694628 0.011899753 0.017066441 0.0128349 0.012203675 0.011993267 0.011665965 0.0033197736 0.0058680507 0.0027820638 0.0081591625 0.010684061 0.0061719734 0.005306962 0.006826577 0.00748118 0.007551316 0.0019871886 0.0041146493 0.005681021 0.004558844 0.003950998 0.15974657 0.013021929 0.0050030393 0.004348436 0.011338663 0.0064758966 0.0052134474 0.0065460326 0.011175013 0.0047458736 0.005119933 0.0028521998 0.002922336 0.003600318 0.0027119278 0.0028054425 0.018445784 0.0034834244 0.02192921 0.0052134474 0.013208958 0.012040025 0.041450415 0.009889185 0.006990228 0.009491747 0.020409595 0.008813766 0.003904241 0.015920887 0.009561883 0.019895263 0.022303268 0.008743629 0.002244354 0.023869641 0.016411839 0.034997895 0.012414083 0.004862767 0.005026418 0.0065460326 0.0060317013 0.0022911115 0.027189415 0.003950998 0.0024080048 0.0018936737 0.0028989573 5.8288064 0.0 0.0 0.0 6.0 1074386.0 1101824.0 1.0 0.0 496.0 1.0 1.0 0.0 0.0 0.0 1539032300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 570880.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -570880.0 0.0 250880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2812057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7800956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.002691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6814923 0.0 6.8250766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183362.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -570703.0 0.0 250692.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 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 -1.0 -2.0 -1.0 -1.0 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 749572.0 250692.0 802816.0 0.0 0.0 0.0 0.0 27724.0 1056768.0 28.0 579792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 730928.0 0.0 0.0 2144.0 577536.0 0.0 0.0 0.0 0.0


Input: 0.19622046 0.02073576 0.014681589 0.014935737 0.012176415 0.0056593325 0.005827252 0.00422975 0.007973895 0.0041026757 0.0039211414 0.005409723 0.003748684 0.0059134807 0.0025550956 0.0047471225 0.0059270957 0.0020104926 0.0021466434 0.006421777 0.0025732492 0.0014250445 0.0020694914 0.001887957 0.005300802 0.0024053298 0.0026004792 0.0036125332 0.0046200487 0.0020831064 0.0025369423 0.0016928077 0.010533529 0.003993755 0.0044657444 0.010447301 0.0028092437 0.0019424174 0.0013524308 0.0014658897 0.0047834297 0.0018289584 0.0020195695 0.005300802 0.0027729368 0.0075019062 0.002355408 0.0017245761 0.010279382 0.004066369 0.003204081 0.004488436 0.0024734053 0.0017518062 0.0014250445 0.0015702719 0.0025641725 0.0014976582 0.0019424174 0.0023372546 0.002332716 0.0017154994 0.0018380351 0.0032449262 0.010497223 0.0042206733 0.013002397 0.00428421 0.0038122209 0.00243256 0.018856877 0.0045928187 0.0058499435 0.0034355372 0.0014658897 0.0034899975 0.0033130015 0.0020377229 0.0021829503 0.003635225 0.0037305304 0.001279817 0.0018334967 0.0033130015 0.0019832626 0.002255564 0.0013841992 0.0013252005 0.002255564 0.0013206622 0.0014250445 0.0028954726 0.0016292706 0.0012888937 0.00068983046 0.0013206622 0.0070526088 0.005287187 0.00243256 0.0042796717 0.003231311 0.0054278765 0.0018471117 0.0014023527 0.011005519 0.006126784 0.0019242639 0.0018607269 0.0032131576 0.0025959408 0.003204081 0.006435392 0.0037940675 0.0014658897 0.0049241185 0.004874197 0.004951349 0.0021239517 0.0014658897 0.0012979704 0.0026549397 0.0016111172 0.0014522746 0.0014522746 0.0012480485 0.00121628 0.00095759355 0.0013569691 0.0048242747 0.0017518062 0.0022056422 0.0013978144 0.0019378789 0.0009212867 0.0017291144 0.000848673 0.0045701265 0.0014613513 0.0010211306 0.0012435102 0.0014114294 0.001266202 0.0007261373 0.00212849 0.002446175 0.001279817 0.0014795047 0.005727408 0.002282794 0.001052899 0.00076244416 0.0010755908 0.004433976 0.0014159677 0.002673093 0.0021965653 0.001974186 0.0013887376 0.0008214428 0.00090767164 0.0025641725 0.0010619758 0.0011073594 0.0015112733 0.0010937443 0.0008214428 0.0007805976 0.0006762154 0.0027320916 0.0013978144 0.0010256689 0.0023372546 0.001166358 0.0011073594 0.00065806194 0.00083505793 0.0034945358 0.0055004903 0.0014795047 0.0014658897 0.001633809 0.0008668264 0.0006444469 0.0005763715 0.0016474241 0.003104237 0.0007805976 0.0011300512 0.0010256689 0.005064808 0.00074429077 0.003267618 0.005654794 0.0012208184 0.00083505793 0.0009893621 0.0013796609 0.0008985949 0.00070798385 0.0015430418 0.0014931199 0.0008668264 0.0008532113 0.00075336744 0.0011482047 0.003748684 0.0006989072 0.0006172167 0.0075835967 0.005318956 0.002164797 0.0038394511 0.0013342773 0.0007942127 0.00068529206 0.00083505793 0.0021602586 0.0013841992 0.0014658897 0.0014931199 0.0010937443 0.0020513379 0.0019696474 0.0015430418 0.00727045 0.0009258251 0.00068983046 0.0009530552 0.0011436662 0.000798751 0.00091674837 0.0017291144 0.0068120756 0.007551828 0.0019288022 0.0039256797 0.00096213195 0.0008940566 0.0009939005 0.000975747 0.013610536 0.0076970556 0.009081255 0.0022101805 0.0025732492 0.0020104926 0.0023145627 0.008314272 0.014150601 0.0032993865 0.0031723124 0.0034264605 0.003535381 0.0033039248 0.0045701265 0.009072178 0.03265324 1.3690128e-05 0.0 4.563376e-06 2.281688e-06 1.3690128e-05 1.14084405e-05 0.0 0.0 0.0 2.281688e-06 0.0 4.563376e-06 2.281688e-06 0.0 2.281688e-06 0.00893509 9.126752e-06 2.5098569e-05 1.8253504e-05 1.5971817e-05 1.3690128e-05 2.5098569e-05 2.9661946e-05 4.1070387e-05 4.563376e-06 3.650701e-05 1.3690128e-05 1.3690128e-05 3.4225322e-05 3.1943633e-05 9.8112585e-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 0.004043151 4.791545e-05 8.8985835e-05 1.3690128e-05 6.3887266e-05 1.8253504e-05 0.000102675964 5.2478827e-05 4.1070387e-05 5.4760512e-05 9.126752e-06 1.5971817e-05 2.2816881e-05 5.932389e-05 3.4225322e-05 4.563376e-06 0.0074497117 0.00016428155 0.00016656323 4.791545e-05 0.00014146465 0.00010495765 0.00016884491 0.00010723934 5.932389e-05 3.650701e-05 6.6168956e-05 4.3352073e-05 0.00059095724 5.932389e-05 5.2478827e-05 8.6704145e-05 0.009439344 0.00011864778 0.00067537965 0.0009035485 0.00050881645 8.2140774e-05 0.0010130695 0.0007073233 6.6168956e-05 6.8450645e-05 8.8985835e-05 8.2140774e-05 6.3887266e-05 7.073233e-05 7.5295706e-05 5.4760512e-05 0.03331493 0.0006183375 0.0022725614 0.0008236894 0.0022885331 0.0011499708 0.00514977 0.0029958563 0.00058183045 0.0002509857 0.00028977438 0.00014830973 0.00021219699 0.00020535193 0.0002692392 0.00083053444 0.00794712 0.0001346196 0.0004061405 8.8985835e-05 0.00094918226 0.00042439398 0.0013576044 0.00073698524 0.00022132375 0.00014146465 0.0001346196 5.932389e-05 8.8985835e-05 0.00015743647 0.00016199985 0.0010085062 0.020350376 0.0010016611 0.0022246458 0.002231491 0.007885514 0.0019736602 0.0047824183 0.0026809834 0.00052022486 0.000497408 0.0003856053 0.0003445349 0.00037419685 0.0003627884 0.00032171802 0.0007917458 0.010025738 0.00031487294 0.00081456266 0.0016838858 0.0030528987 0.0023547022 0.0045839115 0.0024893216 0.0005042531 0.000248704 0.00022360543 0.0002304505 0.00025783075 0.00022132375 0.00026239414 0.0007689289 0.014696353 0.0009856892 0.0013416326 0.0009560273 0.000921802 0.0009811259 0.002626223 0.0018002519 0.00106783 0.0006457177 0.0009149569 0.00044492917 0.0012298299 0.0005544502 0.0010838018 0.0024596597 0.022253305 0.0020215756 0.0025691807 0.009142724 0.00283842 0.002596561 0.0062563885 0.0068382192 0.0019873504 0.0015538296 0.0017432097 0.0018641391 0.0016610689 0.0015720831 0.0020215756 0.0031738281 0.027578764 0.0074200495 0.008759401 0.0033814618 0.013646777 0.0018093786 0.00427132 0.0017911252 0.0034042785 0.004161799 0.0017021393 0.005090446 0.003050617 0.0045861932 0.005697375 0.015798409 0.10425945 0.03186834 0.041070387 0.02213922 0.050477784 0.013626241 0.031090282 0.011269257 0.016485196 0.019884912 0.010751314 0.019846123 0.011663989 0.023597218 0.02409919 0.063198194 0.00923171 0.004638672 0.0049512633 0.0052364743 0.004615855 0.004748193 0.005822868 0.0052843895 0.0043854043 0.004376278 0.0045314324 0.0043101087 0.004180053 0.0042439396 0.00444701 0.0044356016 1207.0 13.342171 16104.0 0.026639344 0.0029185296 0.004657228 0.0054644807 0.0070789866 0.0010556383 0.0017386985 0.0006830601 0.004657228 0.0025459514 0.0021112766 0.003787879 0.0021112766 0.0058991555 0.013661202 0.008010432 0.026142573 0.01850472 0.011549925 0.008817685 0.006830601 0.005091903 0.004657228 0.0057128663 0.009811227 0.006644312 0.006147541 0.0050298064 0.0062096375 0.004160457 0.0050298064 0.0036015897 0.008010432 0.020305514 0.002483855 0.013537009 0.024031296 0.00565077 0.029992549 0.015027323 0.007451565 0.017262792 0.0024217586 0.0040983604 0.00565077 0.007451565 0.014468455 0.0032290113 0.020429706 0.0016145057 0.0065822154 0.011674118 0.009376552 0.0044088424 0.0075136614 0.00565077 0.013474913 0.0009314456 0.0032911077 0.0009314456 0.002670144 0.00055886735 0.0008072528 0.0065822154 0.0073894686 0.027446598 0.008258818 0.022851465 0.023037754 0.0445231 0.009190263 0.0076378537 0.01558619 0.034277197 0.0022354694 0.0030427224 0.019436166 0.015896672 0.023410333 0.043902136 0.017076503 0.0025459514 0.038313463 0.029371584 0.044088427 0.0108668655 0.005526577 0.0052781915 0.008817685 0.0063959267 0.0042846496 0.003353204 0.0040362645 0.002483855 0.0027322404 0.002173373 6.0103893 2.0 20.0 0.0 1.0 220344.0 208896.0 1.0 0.0 118.0 1.0 1.0 1.0 0.0 0.0 1541827100.0 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 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 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 10.0 0.0 14.0 13.0 10.0 0.0 6.0 2.0 159744.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 -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 -6.5062385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6568117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3505077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8376017 -5.504123 7.640298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155920.0 -3368.0 15176.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 180716.0 15176.0 184320.0 6184.0 172032.0 15544.0 204800.0 4816.0 200704.0 84.0 29808.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 8528.0 0.0 0.0 488.0 180224.0 0.0 0.0 0.0 0.0