Input: 0.08727676 0.014583301 0.011713322 0.008783635 0.0117829 0.004446098 0.007479413 0.006122884 0.0067925127 0.003556385 0.007437962 0.003174445 0.003492235 0.003048612 0.0031487849 0.0028818217 0.005012593 0.0037532765 0.004559101 0.002963243 0.0029035339 0.0029005732 0.0028754065 0.0026952927 0.0034073594 0.0026701263 0.0024722477 0.002527022 0.0031492785 0.002698747 0.0030377558 0.0032884348 0.0054557226 0.0036151072 0.0035124668 0.0028413576 0.0064658406 0.0024525092 0.0024421464 0.0027426651 0.004385402 0.002809776 0.0050037107 0.0035657608 0.005142374 0.0029736056 0.007714301 0.005487304 0.0067900456 0.0044816276 0.0037118257 0.0044668233 0.0037710413 0.004041459 0.0039047697 0.0029104424 0.0037369924 0.003338768 0.0030076546 0.002706149 0.0032351408 0.004436229 0.0030584813 0.0027125638 0.0026721 0.0035953685 0.003848515 0.004943015 0.0038944068 0.0029563345 0.0037818975 0.0025635383 0.0033520914 0.0033604803 0.002333091 0.0027268743 0.0028216192 0.003003707 0.002968671 0.0034290717 0.0049810116 0.0027268743 0.0036792571 0.0039560897 0.0036570514 0.002796946 0.0034621337 0.002865044 0.0025896917 0.0020912946 0.0021613662 0.0022363726 0.002131265 0.0021569252 0.002402176 0.003914639 0.0023750355 0.010403672 0.004119919 0.0076264646 0.004924757 0.018114518 0.0041850563 0.004614369 0.0035632935 0.012069109 0.002125837 0.0029938377 0.0087737655 0.0062408214 0.010751563 0.0139136715 0.0051793833 0.0027614168 0.011034811 0.010057261 0.0126864305 0.007062437 0.0032228043 0.0035938881 0.0032292192 0.0040468867 0.0024628718 0.003977802 0.0022008433 0.0033037323 0.0021302782 0.0021796243 0.0025388652 0.002758456 0.0029903834 0.0026257145 0.0027298352 0.0021682747 0.0032020789 0.0020676083 0.002388359 0.0024145124 0.0020123406 0.0022092322 0.002258085 0.0021292912 0.0023622054 0.002317794 0.0018924291 0.0025048163 0.0021732093 0.00212485 0.0021046181 0.0019417753 0.00201086 0.0019368407 0.0020848794 0.0027041752 0.0017927496 0.0020977096 0.0021233696 0.0018465371 0.0020967226 0.0021060985 0.0020700756 0.001914635 0.0020784645 0.001874171 0.0021978824 0.0020325724 0.002540839 0.0019802654 0.0019891479 0.0019398015 0.0017522858 0.0018707167 0.0020646476 0.0019708897 0.0019526315 0.0020389876 0.002005432 0.0022447614 0.0018021255 0.0019590466 0.0020305987 0.0020004974 0.0020893207 0.0019916152 0.002004445 0.0019082199 0.0017873215 0.0019190761 0.0022408138 0.001960527 0.0021934414 0.0021056049 0.0021090591 0.0024520156 0.0020424416 0.0026947993 0.002110046 0.0029336351 0.0023474016 0.002403163 0.0020059254 0.0023548035 0.0021593925 0.0025605774 0.0024322772 0.0022477221 0.0021554446 0.0026237406 0.0022881862 0.0025645252 0.0022018303 0.002284732 0.0024006956 0.0021307715 0.0020537914 0.002282758 0.002871459 0.002157912 0.0025689662 0.002231438 0.0022353856 0.0019748374 0.0023528298 0.002356284 0.002579329 0.0023404933 0.0025112312 0.0026503876 0.0030954909 0.0026587765 0.003009135 0.0027096032 0.0030545336 0.0026721 0.002637064 0.0034631207 0.003807064 0.0034152546 0.0028230995 0.0030081482 0.0025852507 0.0026311427 0.0024061236 0.0027406914 0.0022067649 0.002039481 0.0022018303 0.002195415 0.0022955881 0.0021653138 0.0021337324 0.0028448119 0.0024776757 0.004414023 0.0042950986 0.04257842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00077142514 0.0 0.0 0.0 4.937121e-07 0.0 0.0 0.0 4.937121e-07 0.0 0.0 7.405681e-07 4.937121e-07 0.0 0.0 0.00023747551 0.00038065203 4.1965527e-06 1.2342803e-06 3.7028406e-06 7.405681e-07 7.405681e-07 1.7279923e-06 9.281787e-05 1.2342803e-06 4.937121e-06 1.2342803e-06 2.7154165e-06 3.4559846e-06 3.2091286e-06 1.9748484e-06 9.874242e-07 0.00079537014 7.850022e-05 3.3325567e-05 7.4550524e-05 3.2091284e-05 9.133673e-06 8.1462495e-06 6.5169996e-05 8.639961e-06 1.5058218e-05 4.937121e-06 8.639961e-06 3.949697e-05 1.1602234e-05 4.8136928e-05 0.0007894456 0.0061432594 0.00016366555 0.00027870046 0.00025969255 0.00059047964 0.00048482526 0.0042582667 0.0018975824 9.479272e-05 0.0002690731 4.7149504e-05 0.000121206314 0.00013577082 0.0002043968 0.00014391707 0.0015907403 0.0135839945 0.0004324918 0.0013897995 0.00063812284 0.002697149 0.0024411594 0.01917331 0.009600725 0.00010022355 7.109454e-05 5.430833e-05 5.3074047e-05 0.00013108055 5.924545e-05 0.00018440146 0.0014626221 0.024941841 0.0018062457 0.0042348155 0.0016361618 0.0012863668 0.0013293198 0.005504643 0.004966003 0.0004974149 0.0004403912 0.0003122729 0.00026018627 0.0005295062 0.00048210984 0.0011357847 0.0047319834 0.031129781 0.004051648 0.0048867622 0.0035549738 0.0020580387 0.0021407355 0.0057418714 0.004672244 0.0020210105 0.00076278514 0.0007232882 0.00067243585 0.0010123566 0.0012199626 0.0019992872 0.006659189 0.027029997 0.00485319 0.0062716245 0.0057608793 0.0044308193 0.0035396689 0.010809085 0.006464419 0.0032696084 0.00091484847 0.00086399616 0.00078401476 0.001157508 0.0019316485 0.0044011963 0.011046314 0.01619178 0.003937107 0.007669817 0.007375565 0.0046102833 0.003768998 0.016662536 0.008552575 0.00060356304 0.00069267803 0.0005569072 0.0003379459 0.0012369956 0.0018385838 0.0042654257 0.010172443 0.029647164 0.0042674006 0.010915481 0.010174419 0.005924792 0.005320241 0.0244817 0.012270967 0.0012021889 0.0014510198 0.0012288494 0.00045051228 0.0026724634 0.0016867673 0.0032817042 0.012425746 0.003516958 0.00057665573 0.0009805122 0.001092338 0.0008570842 0.0005618443 0.0008674521 0.000507536 0.00026882623 0.00028215646 0.0002982021 0.00025129944 0.0003902794 0.00065441534 0.0010192686 0.0015253235 0.0009607637 0.00026067998 0.00029573354 0.00026487652 0.00030684206 0.00021377733 0.00029326498 0.00021822074 0.00023599438 0.00016020957 0.0001673684 0.000113800634 0.00015477874 0.00016218441 0.000257224 0.00048433154 0.030333918 0.030488448 0.029658519 0.02949757 0.029476833 0.028016927 0.029034713 0.029843662 0.030886382 0.0284941 0.028024333 0.029200107 0.030185556 0.02871948 0.029718505 0.031120647 17320.0 19.671766 340715.0 0.014369781 0.0010654066 0.0038419208 0.0029408743 0.0037333255 0.0007748411 0.0008981113 0.0007132061 0.0011387817 0.0012825968 0.001338362 0.004141291 0.014017581 0.0019253629 0.02692573 0.009251134 0.018951323 0.006110679 0.004050306 0.009389079 0.0062603643 0.008088872 0.0063836346 0.0029085893 0.004786992 0.0031433897 0.002747164 0.0012180269 0.0030670795 0.013049029 0.0032666598 0.0009333314 0.0010859516 0.004713617 0.0050922325 0.014962652 0.007968537 0.0030142495 0.009450714 0.002016348 0.004693072 0.006776925 0.0008247362 0.0036893005 0.0028410843 0.0037714806 0.00324905 0.0042997813 0.014534142 0.0025446487 0.008262037 0.009462454 0.008869583 0.0050687524 0.008350087 0.005503133 0.0014410871 0.0007278811 0.0010859516 0.0011769368 0.00085115124 0.0011299767 0.0010037714 0.01015218 0.0008364762 0.044494666 0.010747986 0.025135377 0.016717784 0.08705516 0.01017566 0.013609615 0.009444844 0.05265691 0.0016553424 0.0065391897 0.037174765 0.021299327 0.047896337 0.052366346 0.0145165315 0.0025505188 0.045774326 0.038985662 0.057326503 0.02691399 0.005514873 0.007381536 0.0056616236 0.010155115 0.0020955931 0.00065157097 0.00085995626 0.0008394112 0.0008159312 0.0008247362 5.5785336 1.0 417.0 0.0 71.0 2026496.0 2048000.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1539602600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 48.0 0.0 4.0 0.0 6.0 0.0 1881600.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1881600.0 0.0 143872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.43823 0.0 6.6264963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1881540.0 0.0 143476.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1889644.0 143476.0 1892352.0 0.0 0.0 0.0 0.0 12.0 2039808.0 28.0 1889332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.0047345166 0.003950037 0.0039116326 0.003914101 0.0039121127 0.0039171875 0.0039010711 0.0038959277 0.003926857 0.0038872866 0.0038920187 0.0038788514 0.0039279545 0.0038844063 0.0038953791 0.0039227423 0.003870142 0.0039302176 0.003896682 0.003912524 0.003894762 0.0038873553 0.0038863267 0.0038837206 0.0038894813 0.0038860524 0.0038905786 0.003877617 0.0038839949 0.0038909214 0.0038850922 0.0038846808 0.0039747255 0.0038944876 0.003897505 0.003906832 0.003911838 0.0039045 0.0038649298 0.0038931845 0.0039149243 0.0038844063 0.0038928417 0.0038985338 0.003882006 0.0039110836 0.0039018255 0.0038802917 0.003922948 0.0039180103 0.0039060775 0.0039136214 0.0038852978 0.0038978478 0.0038958592 0.0038878354 0.0038928417 0.003903883 0.0038748053 0.0039058717 0.0038828976 0.0039245253 0.0038903728 0.0038866694 0.003997425 0.003933715 0.00388907 0.0038909214 0.0038999054 0.003920342 0.0039192447 0.003894076 0.0038757655 0.003917873 0.0038988767 0.0038812517 0.0039075864 0.003919313 0.0038499795 0.0038999054 0.0039411215 0.0038936646 0.003910124 0.0039125923 0.003921302 0.003912661 0.0038933216 0.00390258 0.003921988 0.0038935274 0.0038933216 0.0039158156 0.003910741 0.0038931845 0.003867193 0.0038814575 0.0038917444 0.003926926 0.003913964 0.0039173244 0.00394215 0.0039306288 0.003894419 0.0039070374 0.0039165015 0.0039245253 0.003901277 0.0038879039 0.003906283 0.0039140326 0.003908066 0.003939064 0.00390162 0.0038933216 0.0039198617 0.0039292574 0.0039599123 0.0039333035 0.003923565 0.0038922245 0.003867673 0.0039078607 0.0038808403 0.0038982595 0.0038935961 0.0038920187 0.0038900299 0.0039062146 0.0039101923 0.003871925 0.003898328 0.0039181476 0.0038904413 0.003896202 0.0039003168 0.0038987396 0.0038863267 0.0039507914 0.003891333 0.0040138843 0.0038703475 0.003898808 0.0038879726 0.0039191074 0.0039098496 0.003898808 0.0039136214 0.0039001112 0.003906763 0.0038780286 0.003908272 0.0039042945 0.003916433 0.0038754225 0.003869936 0.0038853665 0.0038791257 0.0038898927 0.0039046374 0.00391417 0.0039182846 0.0038657528 0.0038652727 0.0038649298 0.0038946932 0.003907929 0.003921782 0.0038789886 0.0038946932 0.0038745995 0.0038933216 0.003892293 0.0038857094 0.0039044316 0.0038767254 0.003886258 0.0039031287 0.003869936 0.0038807716 0.0038942134 0.003872748 0.0038863951 0.0039106724 0.0038736395 0.0038941447 0.0039147185 0.0039003855 0.0038743252 0.0038941447 0.0038792628 0.003901414 0.0038825548 0.0038961335 0.0039174617 0.0038887954 0.0039137583 0.0039096437 0.0038990139 0.0038752854 0.0038958592 0.0038748737 0.0039078607 0.0039173244 0.0038580033 0.003893116 0.0039355666 0.0039232224 0.0038588264 0.0038979165 0.0039027857 0.0038927044 0.0038887954 0.003892979 0.0038923617 0.0038807716 0.0038959964 0.00389243 0.0039075175 0.0038950362 0.0038775485 0.0039276113 0.0039044316 0.0039029229 0.0039075864 0.0039060775 0.0038725422 0.003919725 0.003894076 0.0038730223 0.0039070374 0.0038987396 0.0038834463 0.003969925 0.0039069005 0.0039099865 0.0039205477 0.0038746682 0.003910604 0.0038809774 0.003910329 0.003903403 0.0038582776 0.0038713077 0.0038783713 0.0039075175 0.003908752 0.0039111525 0.0038838577 0.0039400244 0.0038787143 0.0039042258 0.003924251 0.0039359094 0.003931383 0.0039117695 0.0044958605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7085978e-05 2.7435385e-07 3.7723655e-07 2.4005962e-07 5.830019e-07 4.8011924e-07 4.4582498e-07 2.7435385e-07 1.0631211e-06 3.4294231e-07 5.830019e-07 3.4294231e-07 3.7723655e-07 5.830019e-07 7.544731e-07 1.6426937e-05 7.973408e-05 1.0288269e-06 5.658548e-06 4.4582498e-07 5.5899595e-06 1.4403577e-06 3.0521864e-05 1.4437871e-05 7.544731e-07 6.858846e-08 6.858846e-08 6.858846e-08 1.3717693e-07 1.0288269e-07 1.0288269e-07 3.0864808e-07 0.0001140969 1.2688865e-06 1.49179905e-05 2.5720672e-06 1.2620277e-05 6.1729615e-06 4.928081e-05 2.6235086e-05 5.1441344e-07 3.7723655e-07 5.1441344e-07 6.5159037e-07 1.4403577e-06 4.766898e-06 9.670973e-06 3.583747e-05 0.00012620277 1.7490057e-06 2.3491548e-05 7.0646115e-06 1.0665505e-05 6.7559636e-06 3.26824e-05 1.8518884e-05 4.732604e-06 3.909542e-06 4.9383693e-06 3.5323058e-06 6.9617286e-06 1.3786281e-05 1.49179905e-05 7.1263414e-05 7.517295e-05 3.909542e-06 1.3306161e-05 2.7092442e-06 1.1660039e-05 7.716202e-06 3.323111e-05 2.2394132e-05 1.0391152e-05 6.4816095e-06 7.4761424e-06 7.2360826e-06 1.2002981e-05 1.6769878e-05 2.0096419e-05 0.00010061927 5.3533295e-05 3.292246e-06 1.4849402e-05 3.5323058e-06 1.735288e-05 5.075546e-06 3.233946e-05 1.9753477e-05 7.579025e-06 4.3553673e-06 4.8697807e-06 5.7614307e-06 1.1831509e-05 1.22773345e-05 1.7147115e-05 6.7388166e-05 4.6400095e-05 7.2017883e-06 1.9959241e-05 1.4129223e-05 9.019383e-06 7.270377e-06 3.6180412e-05 2.2016895e-05 1.1077036e-05 9.56809e-06 8.333498e-06 7.579025e-06 1.49179905e-05 1.5912523e-05 1.8244531e-05 0.00010336281 0.00017243139 2.3628725e-05 2.7675444e-05 2.8978624e-05 5.76486e-05 5.4287768e-05 2.8601387e-05 4.255914e-05 0.00010720376 1.5260932e-05 1.49179905e-05 1.8656061e-05 6.567345e-05 3.484294e-05 5.205864e-05 0.00016862473 0.00034352532 4.856063e-05 7.0234586e-05 6.47818e-05 0.00013350743 0.00013412474 9.5920965e-05 0.00010706659 0.00021269282 2.246272e-05 2.7058148e-05 4.369085e-05 0.00013038666 6.17982e-05 0.00010922713 0.0002210606 0.06226615 0.062160693 0.06222455 0.062267724 0.062237512 0.062243 0.06228374 0.06221738 0.06214989 0.06229389 0.062158704 0.06214636 0.062122762 0.062201057 0.062199514 0.062261827 68097.0 5.6796775 386769.0 0.011673635 0.010448097 0.010352433 0.010088709 0.010409314 0.010308479 0.009972361 0.009856013 0.010246426 0.010145591 0.0099232355 0.0100835385 0.010130078 0.010471366 0.010241255 0.010471366 0.010143005 0.010471366 0.010088709 0.010378288 0.010414485 0.0105411755 0.010427413 0.010166275 0.0103731165 0.010380873 0.010047341 0.010024072 0.010554103 0.0102283275 0.010533419 0.010254183 0.010386044 0.010590301 0.009982703 0.010163689 0.010378288 0.010585129 0.010230913 0.010458439 0.010181788 0.0103886295 0.00994392 0.010267111 0.010502393 0.01044034 0.010329163 0.010329163 0.010344676 0.010259354 0.010287794 0.010442926 0.010331748 0.009987874 0.010101637 0.010533419 0.010300722 0.010225742 0.010233498 0.010202472 0.010429998 0.0100835385 0.010282624 0.010334334 0.010391216 0.011130675 0.010468781 0.010872123 0.010481709 0.011826181 0.01066011 0.010453268 0.010512735 0.010791971 0.0102515975 0.010479123 0.0108695375 0.010776458 0.011166872 0.010993642 0.010742847 0.01036536 0.011301319 0.011177214 0.011389228 0.010610985 0.01041707 0.010298137 0.010168861 0.010494636 0.010352433 0.010127492 0.010298137 0.010298137 0.010096466 0.010347261 6.5841684 1.0 2.0 0.0 214.0 14581636.0 94208.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1205583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.650132 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 5.458817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3724.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 21424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 21424.0 69632.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18043117 0.016610522 0.009345451 0.006524228 0.008223346 0.0032362149 0.0029212064 0.0030669654 0.007992059 0.0023381696 0.002412856 0.0020773693 0.004545036 0.0019544978 0.0016575587 0.0062495745 0.00890456 0.0013985651 0.0011871542 0.0010052563 0.002606198 0.0026790774 0.0012028143 0.0009727316 0.0023411813 0.00089141965 0.0013305041 0.0009046705 0.0019713626 0.0007811968 0.00082215393 0.0007974592 0.0071464153 0.00090888666 0.0010889776 0.0007799922 0.004154136 0.001349778 0.0007848107 0.00069085025 0.0015443243 0.0010444066 0.00074626284 0.0013455618 0.0013877236 0.0009932101 0.0012142581 0.00069566874 0.0028790445 0.0008564856 0.000979357 0.0070638987 0.0014027813 0.00069566874 0.000678804 0.0006619393 0.0016485241 0.0006203799 0.0014744563 0.0025062144 0.0014033837 0.0010931937 0.0007167496 0.00073120504 0.009567704 0.0031663468 0.0037048124 0.0058153085 0.005288889 0.017901273 0.0031157527 0.0025080212 0.00350605 0.0027700264 0.0019942503 0.0016786396 0.0028350758 0.003469309 0.0022038545 0.0027507525 0.008747959 0.0026411319 0.0046944087 0.009065377 0.005232272 0.0118865995 0.0041469084 0.0031271966 0.0015154134 0.0044570984 0.0022875755 0.004136669 0.0013823028 0.0028320644 0.0034102825 0.0020532769 0.0014304876 0.0054021236 0.0014822864 0.0029163877 0.008053495 0.009488199 0.0034958106 0.0022309583 0.0061170664 0.0053382786 0.0037909427 0.0012738869 0.004947379 0.002348409 0.006442916 0.006432677 0.0035066523 0.00086190645 0.0057719424 0.004527569 0.013994084 0.006735037 0.0012058258 0.0014919234 0.00240081 0.0014642171 0.0008896127 0.00082335854 0.0016834581 0.0018177733 0.0011510155 0.0009516507 0.008809997 0.0013046047 0.0006258007 0.008251655 0.003556644 0.0048395656 0.00092454674 0.00086913415 0.0024538133 0.01038263 0.00064146076 0.051622234 0.0010612713 0.008296226 0.000601106 0.0006751902 0.003351256 0.00058966206 0.0009046705 0.0008697365 0.0010203142 0.0011558341 0.00061556144 0.00051075936 0.0010058586 0.00060532213 0.000529431 0.00086913415 0.0010323604 0.0005866505 0.00061074295 0.00052641943 0.0011937795 0.0026718497 0.0005137709 0.0008058916 0.0009883917 0.0008968405 0.00051979406 0.00051979406 0.0020924269 0.0005607511 0.0005228056 0.00054388645 0.0010522365 0.0005583419 0.00056858116 0.00062278914 0.0026200511 0.00072759116 0.0016238294 0.00074626284 0.0010299511 0.0008191424 0.0022454138 0.0015268574 0.002370092 0.0021532604 0.0031410498 0.0010823521 0.0009727316 0.00060050364 0.0010173026 0.001049225 0.010082679 0.0010570551 0.0017286313 0.011443299 0.0027194323 0.0006938618 0.004344466 0.0025899354 0.0016641842 0.0016702072 0.0009438207 0.0009100913 0.0015744398 0.00056737656 0.0008010731 0.0007480697 0.0022911895 0.00078782224 0.0022267422 0.0015045719 0.0012329298 0.000591469 0.0018743905 0.0011419809 0.004322783 0.00084564404 0.0011118654 0.0022171054 0.0013949514 0.00075589976 0.00071373803 0.0009624923 0.0021129055 0.00061074295 0.00073722814 0.00056737656 0.0017388706 0.0011347531 0.00073602353 0.0006233915 0.024927225 0.003876471 0.0011359578 0.005114219 0.004161364 0.0011094561 0.0014226576 0.0015449267 0.005526802 0.0014009745 0.0022478232 0.001473854 0.0037554065 0.0012841262 0.0023429883 0.0017430868 0.006880796 0.001999671 0.0016804466 0.001989432 0.008635929 0.0026320973 0.0033970317 0.07085401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000567853 4.9430942e-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 0.00048707562 0.00013020834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035322024 0.0004677855 1.2659143e-05 9.343654e-06 1.6878857e-05 5.7267553e-06 1.0850695e-05 7.233796e-06 8.740837e-06 4.2197144e-06 7.233796e-06 3.9183064e-06 8.740837e-06 6.0281636e-06 1.4769001e-05 0.002056508 0.009830729 0.0027880257 5.15408e-05 2.983941e-05 3.526476e-05 4.2197145e-05 7.113233e-05 4.310137e-05 0.0012960552 2.2907021e-05 3.5566165e-05 3.586757e-05 2.0495756e-05 1.5974634e-05 1.326196e-05 0.0029519917 0.010094763 9.042245e-05 0.000121768906 5.1842206e-05 8.168162e-05 0.00013744213 4.8526716e-05 7.505064e-05 0.00058382767 8.4997104e-05 5.7568963e-05 0.00010971258 4.9129532e-05 4.5211225e-05 6.209008e-05 0.008059052 0.0051884404 0.00018657166 0.00012749566 0.00010579427 0.00039183063 9.19295e-05 8.740837e-05 5.7267553e-05 7.8968944e-05 2.7126736e-05 5.0335166e-05 0.00023539978 5.003376e-05 2.2002798e-05 5.9076003e-05 0.0012650101 0.016173262 0.00017933786 0.0020179278 0.00024866176 0.00066128955 0.0004674841 0.006801577 0.0032072845 0.00014678578 0.00016758294 3.285349e-05 0.00017150125 1.8687308e-05 9.645062e-06 2.2304206e-05 0.0017725815 0.0075183255 0.00014105903 0.00056483893 0.00023539978 0.0010157456 0.0007444782 0.0037040052 0.0018524546 0.00021972656 4.3704185e-05 6.209008e-05 0.00018747589 7.776331e-05 6.962529e-05 8.9216825e-05 0.0019926096 0.0062804422 0.0004394531 0.0006332586 0.00032491802 0.0014976972 0.00091115694 0.00405183 0.0018171899 0.000228166 0.0002507716 0.000101273145 0.000213397 0.00017421393 0.00010609568 8.168162e-05 0.0020242573 0.012459912 0.0007616585 0.0018316575 0.0010148414 0.0034936222 0.001956139 0.008692612 0.0041069877 0.00090784143 0.000293873 0.00042830102 0.0003321518 0.0005033517 0.00020676601 0.000302011 0.0028317298 0.023228625 0.0020408349 0.0012725453 0.00086745276 0.006052578 0.004111509 0.008434305 0.0041850526 0.0023642457 0.0008505739 0.000735436 0.00095214846 0.0010193625 0.000566346 0.0007592472 0.0030535662 0.022331031 0.0016764323 0.0014778043 0.0012291425 0.0065149376 0.0058855973 0.006581549 0.003586456 0.0048171054 0.0008448471 0.001068492 0.0018162857 0.0025056063 0.000951847 0.0020812235 0.0063847294 0.079273365 0.008352925 0.0071418667 0.008140733 0.02640848 0.02465338 0.01642554 0.0136987 0.044198494 0.0046353564 0.004363486 0.008773992 0.016675407 0.008587119 0.020737788 0.040649414 0.059290305 0.009676408 0.007811897 0.010331368 0.023351599 0.029799322 0.013477768 0.013752954 0.04723066 0.004836396 0.0048731673 0.008062669 0.019491766 0.010506787 0.024531914 0.041987363 0.0030167946 0.0028260031 0.0027916424 0.002837758 0.002803096 0.0028564453 0.0027304566 0.0028564453 0.0029215494 0.0027319638 0.0028275102 0.0028483074 0.0029767072 0.0029007522 0.0028395664 0.0029140143 9643.0 11.539147 111272.0 0.017246028 0.0004044144 0.0011683083 0.00039542743 0.0017884104 0.00046732332 0.00024264865 0.0002696096 0.0024714214 0.002067007 0.0006021281 0.00056618016 0.0015637357 0.0007459199 0.0015727227 0.000674024 0.0015367748 0.0010065425 0.0010604644 0.0014828529 0.0009975556 0.00058415416 0.0005931411 0.00035947948 0.0008088288 0.0005392192 0.0056528146 0.004781077 0.0010514775 0.00091667264 0.00081781583 0.00045833632 0.001392983 0.011988641 0.010128334 0.020930693 0.016275434 0.018270545 0.008717378 0.0065245526 0.0059493855 0.015116112 0.00058415416 0.002651161 0.010505788 0.010254152 0.010667553 0.017084261 0.011808901 0.004062118 0.011548278 0.023815515 0.025379252 0.0071895896 0.005284348 0.008537637 0.002138903 0.0070188367 0.0019951111 0.0058325543 0.0009526206 0.0051585305 0.0058415416 0.0057876194 0.00044036235 0.04368574 0.009256597 0.022125961 0.022512402 0.08490905 0.0071266806 0.018737867 0.013282767 0.04280502 0.0019052412 0.0056528146 0.032011647 0.015978863 0.057615574 0.054946437 0.013228845 0.00052124524 0.04885326 0.032083545 0.06862463 0.019420879 0.005464088 0.00823208 0.006165073 0.0062729167 0.002022072 0.00032353154 0.00043137537 0.00039542743 0.00035049248 0.0003325185 5.4544907 0.0 1.0 0.0 7.0 1660273.0 1687552.0 0.0 0.0 554.0 0.0 1.0 0.0 1.0 0.0 1349154200.0 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 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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1355776.0 1024.0 4096.0 8.0 2.0 0.0 3.0 6.0 0.0 0.0 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1350656.0 -15360.0 251392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.2767887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3441615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4613967 -5.278019 5.9991155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25024.0 0.0 0.0 -13496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1350624.0 -15200.0 253952.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 -1.0 2.0 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 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 1.0 0.0 1.0 1.0 1.0 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 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 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 -1.0 1.0 1.0 -1.0 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 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 2.0 0.0 -2.0 0.0 0.0 0.0 2.0 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 -2.0 2.0 0.0 0.0 1.0 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -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 0.0 -1.0 -2.0 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 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -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 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 3.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 -1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 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 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15200.0 1409024.0 173136.0 1433600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1429504.0 0.0 0.0 0.0 0.0 2316.0 1411860.0 0.0 0.0 0.0 0.0


Input: 0.23317346 0.03631329 0.039304785 0.021459652 0.014522349 0.008302017 0.005013845 0.0045737736 0.0047221123 0.0030359968 0.008297073 0.0030162183 0.0040793116 0.003579905 0.0037480223 0.0053055775 0.0037035206 0.0040842565 0.0036046281 0.0015723893 0.0024376977 0.004672666 0.002487144 0.0030409414 0.0040793116 0.003940862 0.003006329 0.0009295886 0.0021113527 0.0023684732 0.00455894 0.004445214 0.004202927 0.0016465585 0.0012856013 0.0035255142 0.0037776898 0.003940862 0.001171875 0.0020866299 0.004128758 0.0018839003 0.0032436708 0.0022844146 0.003179391 0.0014932753 0.0020272944 0.0025019778 0.003268394 0.0021509097 0.0016168908 0.0039359177 0.0032634493 0.0015377769 0.001092761 0.0018591773 0.0029766613 0.0015625 0.0030409414 0.0031447785 0.0027294303 0.0026255934 0.0015971124 0.0018937895 0.012109375 0.0026206488 0.0011174842 0.0016910601 0.0024920886 0.008959652 0.00247231 0.0014537184 0.0029074368 0.0026997626 0.0015822785 0.0024278085 0.0022893592 0.0058544306 0.0035996835 0.0024030854 0.006274723 0.002645372 0.001809731 0.0034216773 0.002160799 0.0022596915 0.00234375 0.0029568828 0.0011075949 0.0023140823 0.001913568 0.0039210836 0.0029618274 0.0017602848 0.004153481 0.0027541535 0.0057604825 0.0038815269 0.0043562106 0.0023091377 0.0034216773 0.0028827137 0.0033623418 0.0030804984 0.0048407833 0.0042523732 0.0040001976 0.001849288 0.0016712816 0.000924644 0.0017503955 0.0020223497 0.0013647152 0.0020223497 0.0016416139 0.0026898733 0.0026354827 0.0019185126 0.00077136076 0.0021360759 0.0016070015 0.0021459651 0.0010334257 0.0009790348 0.0013202137 0.0019729035 0.00094936707 0.0017256725 0.007214201 0.0022893592 0.0013647152 0.0035897943 0.0015328323 0.0038221914 0.0010482594 0.00094442244 0.0025712026 0.004633109 0.0015130538 0.010601266 0.001171875 0.008153679 0.0024821993 0.0027096518 0.00397053 0.0028629352 0.0031596124 0.0018641219 0.002225079 0.0035057357 0.002239913 0.001809731 0.003021163 0.0048852847 0.0012559335 0.0023882515 0.0019729035 0.00054885284 0.0017256725 0.0013597705 0.0032980617 0.0031101662 0.0029469936 0.0019877374 0.0027887658 0.0010334257 0.00030162183 0.0006081883 0.0013053798 0.00033128957 0.0018789558 0.0015179984 0.0015723893 0.0015278877 0.0015872231 0.0010532041 0.0013696598 0.0013251583 0.00042523735 0.0018245649 0.00071696995 0.00032634495 0.0007070807 0.0012213212 0.0017355618 0.00049940665 0.0008702532 0.0017355618 0.0012707674 0.0014289953 0.0016218354 0.0026255934 0.0078125 0.0039903084 0.0011224288 0.0033030063 0.0011372627 0.00021261867 0.0023536393 0.0029469936 0.0021064081 0.0020520175 0.0013597705 0.0017454509 0.008480024 0.0017454509 0.0009592563 0.0005587421 0.0007763054 0.0004895174 0.00067741296 0.00035106804 0.0011075949 0.00046973894 0.00049940665 0.00049940665 0.0011224288 0.00045490506 0.0007219146 0.00049940665 0.0009196994 0.0026602056 0.0006081883 0.0009196994 0.002225079 0.0013746044 0.00087519776 0.0011125396 0.0018393988 0.0012509889 0.0013647152 0.00078125 0.008079509 0.0037232991 0.0015328323 0.0008504747 0.0042622625 0.0010185918 0.00094442244 0.0013943829 0.0044353246 0.0009543117 0.0008504747 0.0021509097 0.0020174051 0.003594739 0.00086530857 0.00078619464 0.0013746044 0.0006675237 0.0009592563 0.0011867088 0.0058395965 0.00042523735 0.0020915745 0.03463212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003956075 1.9929847e-05 5.729831e-05 7.4736927e-06 3.7368463e-05 7.4736927e-06 7.4736927e-06 1.9929847e-05 0.00011459662 4.9824616e-06 4.9824616e-06 1.2456155e-05 7.722816e-05 0.0 2.491231e-05 0.0007498605 0.04983209 0.0007324219 0.00084203604 0.0005804568 0.00038614077 0.000129544 0.00015694754 0.00046586018 0.0019431601 0.00010214047 0.00015694754 0.00038614077 0.0011708785 6.975447e-05 0.00053063215 0.008841379 0.021681182 0.00034378987 0.00024663185 0.00025659677 0.00043347417 0.00015943877 4.2350926e-05 0.00056800066 0.001434949 0.00013950893 4.7333386e-05 0.00016193 0.00097158004 3.4877234e-05 0.0001444914 0.0039461097 0.027057258 0.0016591598 0.0012182118 0.0023243185 0.00092922914 0.0010612643 0.001370177 0.0008320711 0.0013527384 0.0072220783 0.0016666334 0.0007199657 0.00062529894 3.4877234e-05 0.00026157923 0.0026855469 0.048688617 0.0046162507 0.0036197584 0.004972497 0.003216179 0.0025410554 0.004745795 0.0017314055 0.0029595823 0.011708785 0.0016840721 0.0008395448 0.00084452727 0.00023915817 0.00040607064 0.004125478 0.042946327 0.0071822186 0.0043746014 0.0073142536 0.0031264948 0.002742845 0.005393515 0.0015495456 0.0033581792 0.009631098 0.0027029854 0.0015047034 0.0020677217 0.00022919325 0.00031638631 0.0024987045 0.037610114 0.009596221 0.0022844586 0.003928671 0.007154815 0.007857342 0.012461137 0.0047956193 0.0054557957 0.0034553371 0.009327169 0.00092175545 0.0011459662 0.00036122848 0.0003786671 0.00040856187 0.039936922 0.009586256 0.004793128 0.011302714 0.006282884 0.004489198 0.008290816 0.0049251635 0.004222636 0.0016790896 0.0032560388 0.0022171955 0.0034902145 0.0017563178 0.002503687 0.0035126356 0.06780134 0.0059640068 0.013955875 0.0036745656 0.017941846 0.014914999 0.008649553 0.004110531 0.020375777 0.0019581076 0.003497688 0.0050995494 0.017951809 0.0049700057 0.01558514 0.023141043 0.056032766 0.0116465045 0.011190609 0.003669583 0.01744609 0.01111089 0.009436782 0.00803422 0.01481535 0.0031364597 0.0046561104 0.007924605 0.013808893 0.0051443917 0.012675382 0.013352998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1763.0 9.045377 15947.0 0.003135386 0.004514956 0.002006647 0.00909262 0.010848436 0.01235342 0.0040760017 0.010911143 0.010409482 0.00796388 0.01592776 0.009280742 0.013607576 0.006960557 0.010095943 0.014736314 0.015300684 0.010346774 0.006208064 0.007587634 0.010346774 0.006082649 0.0043895403 0.007901173 0.011789051 0.008089296 0.0126042515 0.0139838215 0.013043205 0.015426099 0.008089296 0.008967204 0.013168621 0.011350097 0.0047657867 0.0074622184 0.016178591 0.012039882 0.010158651 0.006709726 0.012792375 0.015990468 0.0072740954 0.014234653 0.01348216 0.011036559 0.026525365 0.01680567 0.007650342 0.0119144665 0.015237976 0.013670282 0.011851759 0.004703079 0.005580987 0.006270772 0.0023201855 0.01511256 0.01235342 0.00934345 0.017244622 0.007775757 0.009155327 0.005580987 0.04132439 0.025522042 0.009970527 0.014924437 0.017244622 0.015990468 0.013670282 0.017808992 0.018875023 0.02420518 0.007650342 0.0057691103 0.007587634 0.0035116323 0.008653665 0.008277419 0.0050166175 0.00357434 0.0072740954 0.010158651 0.014422775 0.006897849 0.0035116323 0.008402835 0.0057691103 0.006897849 0.0032608013 0.003825171 0.0048284945 0.0034489245 0.0025083087 0.007399511 6.378043 0.0 0.0 0.0 3.0 202240.0 221184.0 0.0 1.0 92.0 1.0 1.0 0.0 0.0 0.0 885899500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 39424.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 -4608.0 142336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.648464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8082254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.326291 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.637871 -6.333356 6.411648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8791.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39244.0 -4242.0 142260.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 1.0 1.0 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 -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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -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 -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 -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 -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 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 1.0 -2.0 0.0 0.0 0.0 -2.0 0.0 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 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 3.0 1.0 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 0.0 0.0 0.0 0.0 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 -2.0 -1.0 -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 2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 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 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 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 -2.0 0.0 -1.0 -1.0 -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 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 -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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71.0 53776.0 200.0 61440.0 142260.0 69632.0 0.0 0.0 0.0 0.0 3472.0 212992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 616.0 1260.0 62900.0 0.0 0.0 0.0 0.0


Input: 0.007820283 0.0039923065 0.003951124 0.0039597205 0.0040015024 0.003933531 0.003882553 0.003903944 0.0040304903 0.0039217365 0.0038467683 0.0038891502 0.003915939 0.0038771552 0.0038993459 0.0038977466 0.003929533 0.0038961472 0.0038559644 0.0038935484 0.0038975466 0.0039019447 0.0038887504 0.0038819532 0.003879954 0.0038649605 0.0038269765 0.0037871934 0.0039311326 0.0039055434 0.0038719575 0.003908942 0.003930133 0.0038439694 0.0038701582 0.0038717575 0.0038815534 0.0038721575 0.0038361726 0.0039241356 0.0038999456 0.0038555644 0.0038999456 0.0038511662 0.0038803539 0.003870758 0.003854165 0.0038491671 0.0038741566 0.0038823532 0.0039187376 0.0039825104 0.0038561642 0.00388975 0.0038811537 0.0038939482 0.0038733569 0.0039447267 0.0038651605 0.00393713 0.0038761557 0.0039009452 0.0038953477 0.0038593628 0.004034089 0.0038813534 0.0039283335 0.0038775553 0.003877955 0.004005501 0.0038327742 0.003884752 0.0038983463 0.003832974 0.0038833527 0.0038615619 0.003898946 0.0038809536 0.00388955 0.0038887504 0.00391314 0.003887551 0.003868559 0.0038923488 0.0038485674 0.0038905495 0.0039527235 0.003919937 0.0038655603 0.0038551646 0.0038621617 0.0038355729 0.003908342 0.003907542 0.0039041438 0.0038891502 0.0038393713 0.0038901498 0.0038573637 0.0039097415 0.0039123404 0.003980112 0.003908342 0.00391334 0.003906943 0.0039497246 0.0039743143 0.0038421701 0.0039171386 0.0039309324 0.0039353305 0.0038703582 0.00391314 0.0038863514 0.003986709 0.0039303326 0.0040082997 0.003993306 0.0039263344 0.0039003454 0.003917738 0.0038769555 0.0038395713 0.003833174 0.0038595628 0.003930533 0.0039019447 0.003877755 0.0039343312 0.0038787546 0.0038361726 0.0039483253 0.003868559 0.003951124 0.003860962 0.0039127404 0.003919537 0.003933531 0.003879954 0.0040019024 0.0038663598 0.0039141397 0.0038973468 0.0038219788 0.0039025445 0.0038267768 0.003845169 0.0038463683 0.0038673594 0.0038367724 0.0039223363 0.0038455687 0.0038547649 0.003915939 0.0038271765 0.0038991459 0.0038665598 0.003856764 0.0038419703 0.0039095418 0.003821379 0.003872957 0.0038681591 0.003879754 0.0038813534 0.0038817534 0.0039007454 0.0038465683 0.003896547 0.0038603623 0.003887551 0.003832974 0.0039327317 0.0039031443 0.003877955 0.0038647605 0.0038837525 0.0038233781 0.0038389715 0.003856764 0.0038835525 0.0038277763 0.0038647605 0.003906143 0.0038509665 0.0039077424 0.0039169383 0.0038275763 0.003882553 0.0038077848 0.0038787546 0.0038633612 0.0039001456 0.0038547649 0.0039387294 0.0039067427 0.0038793543 0.003884952 0.0039289333 0.003915739 0.0038701582 0.0039003454 0.003898746 0.0038405708 0.0039543225 0.003861162 0.0038753562 0.0038487674 0.0038395713 0.0038487674 0.0038341735 0.0038679591 0.003870558 0.00388975 0.003875556 0.0039009452 0.0038843523 0.0038737569 0.0038593628 0.0038995459 0.0039071427 0.0038833527 0.0038881507 0.0038733569 0.00391254 0.0038581633 0.0038681591 0.0038879507 0.0039087418 0.0038645607 0.0038701582 0.0039101415 0.0039833104 0.0038963472 0.003915139 0.0038607623 0.0039623193 0.0038675594 0.0038761557 0.003882753 0.003929533 0.003856764 0.003846968 0.0038819532 0.0038697585 0.003860962 0.0039117406 0.0039183376 0.0038921488 0.0038515662 0.003906943 0.0039051434 0.0038503667 0.003882953 0.003816381 0.004273787 0.00020479213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00078227 1.0999578e-06 2.1999156e-06 9.999616e-07 6.999731e-07 2.9998847e-07 7.9996926e-07 4.5998236e-06 7.999693e-06 6.999731e-07 9.999616e-07 3.9998463e-07 2.5999002e-06 1.6999347e-06 3.4998657e-06 8.299681e-06 0.00038148536 6.999731e-07 2.5999002e-06 3.9998463e-07 1.1999539e-06 2.2999118e-06 2.2999118e-06 3.799854e-06 6.2997583e-06 2.9998847e-07 3.9998463e-07 2.9998847e-07 3.9998463e-07 3.9998463e-07 4.999808e-07 6.199762e-06 0.00017829315 9.999616e-08 9.999616e-08 5.9997694e-07 7.9996926e-07 6.999731e-07 1.9999231e-06 7.9996926e-07 1.5999385e-06 1.2999501e-06 3.9998463e-07 2.9998847e-07 1.4999424e-06 5.9997694e-07 6.099766e-06 9.599631e-06 0.0003357871 9.999616e-08 4.5998236e-06 3.199877e-06 9.999616e-08 0.0 3.9998463e-07 1.6799355e-05 1.8099305e-05 8.999654e-07 3.9998463e-07 4.5998236e-06 3.799854e-06 1.1999539e-06 0.0 1.9599247e-05 0.00032788742 3.9998463e-06 5.1998004e-06 3.099881e-06 1.0799586e-05 8.399677e-06 1.47994315e-05 6.4997503e-06 7.7997e-06 2.499904e-06 9.999616e-07 7.9996926e-07 1.2999501e-06 1.7999308e-06 3.099881e-06 1.0599593e-05 0.00029578863 9.999616e-07 8.999654e-07 1.3999463e-05 3.199877e-06 3.5998617e-06 9.499635e-06 3.3998695e-06 1.0999578e-06 1.1499558e-05 2.9998847e-07 3.799854e-06 1.3499482e-05 3.9998463e-07 2.029922e-05 2.7298951e-05 0.00014109458 8.999654e-07 8.999654e-07 1.0699589e-05 6.999731e-07 7.9996926e-07 1.0799586e-05 3.9998463e-07 1.6999347e-06 1.1299566e-05 6.999731e-07 2.9998847e-07 1.1899543e-05 9.999616e-07 9.999616e-07 1.0599593e-05 0.00012669513 1.0999578e-06 8.999654e-07 1.0999577e-05 1.4999424e-06 1.1999539e-06 1.1299566e-05 8.999654e-07 2.5999002e-06 1.1299566e-05 6.999731e-07 2.9998847e-07 1.1899543e-05 9.999616e-07 6.4997503e-06 1.589939e-05 0.00024149072 4.7998155e-06 2.0999194e-05 1.3299489e-05 4.9098115e-05 2.4399063e-05 0.00015799393 7.569709e-05 6.399754e-06 2.8998886e-06 1.1999539e-06 1.3999462e-06 2.499904e-06 1.5999385e-06 1.7999308e-06 8.799662e-06 0.0003021884 8.59967e-06 1.4999424e-05 9.699627e-06 6.229761e-05 3.1498792e-05 0.00017119343 0.00014279451 1.9399255e-05 5.799777e-06 6.099766e-06 6.4997503e-06 9.699627e-06 6.399754e-06 8.099689e-06 1.38994665e-05 0.00018929272 6.799739e-06 4.6998193e-06 2.0199224e-05 1.6299375e-05 1.2899504e-05 1.7799317e-05 1.5299413e-05 1.3299489e-05 1.3999463e-05 2.499904e-06 6.4997503e-06 2.109919e-05 4.8998118e-06 2.4599056e-05 3.939849e-05 8.169686e-05 2.8998886e-06 3.6998579e-06 3.199877e-06 1.849929e-05 3.2998732e-06 6.4997503e-06 8.699666e-06 2.3099114e-05 3.199877e-06 2.8998886e-06 4.5998236e-06 1.2399524e-05 5.399793e-06 6.9997313e-06 1.769932e-05 0.0004897812 8.319681e-05 3.4198685e-05 8.419677e-05 0.00015249415 0.0001222953 7.0997274e-05 0.00013859468 0.00017099343 1.9899237e-05 2.3999079e-05 2.1799164e-05 8.019692e-05 3.779855e-05 0.00010999577 0.00020269222 0.0006219761 0.00013739473 0.00010109612 0.00014129457 0.00024069076 0.00019849237 0.000112095695 0.00020749203 0.00022409139 3.859852e-05 4.6398218e-05 4.509827e-05 0.000112895665 5.1998002e-05 0.00012549518 0.0002571901 0.06194892 0.061877225 0.061798725 0.062019717 0.061804127 0.06179413 0.06195142 0.061959222 0.06193032 0.06174763 0.061926723 0.06172723 0.06197612 0.061887424 0.06200982 0.061811227 23352.0 5.6948442 132986.0 0.010828207 0.010452228 0.010316876 0.009767946 0.010076249 0.010309356 0.009519799 0.010256719 0.010384552 0.010361993 0.010264238 0.009752906 0.010497346 0.010136405 0.010377032 0.010392072 0.010346954 0.0105424635 0.010527424 0.010361993 0.009993534 0.009858181 0.01005369 0.01024168 0.010474787 0.010211601 0.009963455 0.01021912 0.009903298 0.010354473 0.009745386 0.010038651 0.010339434 0.0105725415 0.009948416 0.010369512 0.010384552 0.01005369 0.010527424 0.010813168 0.010068729 0.010850767 0.009918338 0.010136405 0.010467268 0.01024168 0.009760426 0.010467268 0.0105575025 0.010647737 0.01005369 0.010196562 0.010309356 0.009880739 0.010226641 0.010294316 0.010316876 0.009993534 0.010271758 0.010256719 0.010151445 0.010324395 0.0105951 0.010181523 0.009918338 0.011384657 0.009910817 0.010828207 0.011625284 0.013467583 0.0100988075 0.010692855 0.010617659 0.011565127 0.010346954 0.010467268 0.011249305 0.010625179 0.011843352 0.011286902 0.010384552 0.010249199 0.0114748925 0.011256824 0.011700479 0.010617659 0.010384552 0.010737972 0.010331915 0.010249199 0.010745492 0.009745386 0.010008573 0.010339434 0.0101138465 0.010023612 6.5830455 0.0 1.0 0.0 64.0 5002121.0 204800.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 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 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2640452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7090273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.485008 0.0 2.5268996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23130.0 0.0 18768.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 18768.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.15122762 0.0106132 0.009549154 0.0074650063 0.009327799 0.0053316243 0.004207764 0.005675049 0.029971924 0.0046565756 0.004522705 0.0027522787 0.004941813 0.004741211 0.0019441731 0.0040246584 0.013811035 0.0020381673 0.0018237304 0.0014587402 0.0031599936 0.0033089193 0.0014872233 0.025008952 0.0026220703 0.0037573243 0.0011645508 0.0012072754 0.005296631 0.0016333008 0.0010420736 0.0046964516 0.01737793 0.0012162272 0.005061442 0.0013431803 0.010108642 0.001953532 0.0012886556 0.0010310872 0.0020935058 0.001188558 0.0012740071 0.0017195639 0.0023872885 0.001583252 0.0024084472 0.0016540528 0.00237264 0.0016255697 0.0015905761 0.004140625 0.0018326823 0.0013024902 0.0010632324 0.00095092773 0.0016288249 0.0015482585 0.0015506998 0.0024190268 0.0027278645 0.0021651203 0.0019637044 0.0014632161 0.0030371093 0.0021476238 0.0019755044 0.002224935 0.005164795 0.0038594564 0.0027783203 0.0014518229 0.0024967447 0.0021565754 0.0013684082 0.0012756347 0.004940592 0.0050764973 0.0018579102 0.0023600261 0.0072261556 0.006104736 0.004338786 0.0056070965 0.0052079265 0.0051411944 0.004055176 0.0031526692 0.0020011393 0.001833903 0.0014839681 0.0021565754 0.0020015463 0.0021842448 0.0029463705 0.0030855306 0.001751302 0.0067850747 0.002289632 0.00427653 0.0050557456 0.0114628095 0.0060945638 0.003194987 0.009503988 0.0066219075 0.0047932942 0.0019055175 0.005753174 0.0037394206 0.0071325684 0.008423666 0.0040531415 0.0019010417 0.006772461 0.0066471356 0.0120422365 0.007298991 0.0029471843 0.0034997559 0.003918457 0.0032173665 0.0023942057 0.0024141439 0.0035213216 0.0034350585 0.0035799153 0.0042338055 0.007986654 0.0041430662 0.0027237956 0.00932251 0.0036112468 0.0051175943 0.002150879 0.0017004395 0.0028963217 0.0060762535 0.0022928873 0.016726889 0.0021907552 0.00583903 0.001537679 0.0013155111 0.006887614 0.0013769531 0.0011112468 0.0017427572 0.0020198568 0.0014819336 0.0017277019 0.0014506022 0.0014086914 0.0015344238 0.0011437988 0.0011206055 0.0013541667 0.0012504068 0.0011747233 0.0011230469 0.0014965821 0.0021114096 0.001130778 0.0015140788 0.0016149902 0.001751709 0.0010367838 0.0010721843 0.001381429 0.0011519368 0.0015808105 0.001332194 0.0013138835 0.0010799153 0.0018103027 0.0011393229 0.0012984212 0.0009419759 0.0010107422 0.0010310872 0.0011600748 0.0011385091 0.0011287435 0.0010274252 0.0020507812 0.0020979817 0.0010721843 0.0018229167 0.0015938313 0.0011694336 0.0015205892 0.0018815104 0.007961426 0.0028267414 0.001870931 0.002878418 0.004417318 0.0010640462 0.001964925 0.0030200195 0.0019661458 0.002335205 0.0014656576 0.0013309733 0.002496338 0.0012695312 0.0016288249 0.0011641439 0.0015181478 0.001940511 0.0015417481 0.0013952637 0.0012711588 0.0011405436 0.0013065592 0.0013301595 0.0017696127 0.0013834635 0.0010575358 0.001484375 0.0014876302 0.0011783855 0.0010831705 0.0012247722 0.002915446 0.0016064453 0.0012186687 0.0011828613 0.0017110188 0.0012699382 0.001110026 0.0012137858 0.008711752 0.0031095378 0.0012764486 0.0027950034 0.0022098795 0.0013875326 0.0032779947 0.0013171387 0.0022444662 0.0016353353 0.0022192383 0.0026090494 0.0018522135 0.0015197754 0.0022318522 0.0033671062 0.004009603 0.003544922 0.002047526 0.0022770183 0.0035681152 0.0033158367 0.0045589195 0.031044109 0.03076701 2.7070198e-05 1.3840402e-05 1.4043938e-05 9.566161e-06 0.0 0.0 0.0 8.141413e-06 0.0 0.0 0.0 6.5131303e-06 0.0 0.0 0.0 0.013550364 0.0013968629 0.000109502005 0.00010278534 8.121059e-05 3.05303e-06 7.1237364e-06 4.884848e-06 0.00010237827 4.0707064e-07 1.0176766e-06 1.0176766e-06 4.966262e-05 8.141413e-07 2.0353532e-07 1.1805049e-05 0.0035262494 0.00038325702 8.955554e-05 5.1290903e-05 3.0123228e-05 1.9742927e-05 1.9946461e-05 9.973231e-06 5.9432317e-05 1.0990908e-05 1.4451009e-05 1.7504039e-05 1.7504039e-05 1.1397979e-05 0.0007477888 0.000826557 0.0053226524 0.01462381 0.00027579037 2.442424e-05 2.8494946e-06 1.8318179e-06 3.2565652e-06 0.0032003894 0.0026400567 2.6459593e-06 1.6282826e-06 1.6282826e-06 1.8318179e-06 1.4247473e-06 3.2565652e-06 0.0009871463 0.014777072 0.018533926 0.0014068362 8.121059e-05 5.4751003e-05 2.1167674e-05 9.7289885e-05 0.0030206677 0.0027693016 6.45207e-05 8.141413e-06 1.4858079e-05 5.088383e-05 2.0964138e-05 1.3229796e-05 0.0011660539 0.008367541 0.0032836355 0.000354355 0.00047810448 4.5591914e-05 1.261919e-05 0.000104210085 0.0013640937 0.0012914316 0.00010156413 3.7246966e-05 7.754696e-05 0.00018542068 2.3610099e-05 0.0013520851 0.00251244 0.005315732 0.0031543905 0.0018476937 0.00021391563 0.00019132321 4.1521205e-05 0.0010852504 0.0009971196 0.00088578573 0.000110519686 3.5822217e-05 0.00035252317 0.0010390478 9.15909e-06 0.00041460147 0.0018128891 0.009445464 0.00086726405 0.003866357 0.0004021858 0.000987757 0.00082818524 0.009251698 0.006059857 0.0016594236 0.00041561914 0.00016750957 0.0002287737 0.0006222075 0.00015183736 0.00013087322 0.002430619 0.023246177 0.00044594592 0.006988589 0.0013907569 0.0026453487 0.0022083584 0.01826933 0.010727533 0.0024285836 0.0010213403 0.0004327161 0.0004711843 0.0013746776 0.00010767019 0.00039424794 0.0024619633 0.00744634 0.0002841353 0.006961112 0.0023475764 0.0033304486 0.0024550431 0.019450447 0.011571798 0.002180881 0.0007628504 0.000622411 0.00049275905 0.0007726201 0.00021818987 0.0003751156 0.0015869649 0.0066910204 0.00038854894 0.0028279198 0.002299135 0.00319754 0.002379735 0.008108033 0.0055862307 0.0019311432 0.00088110444 0.0006293312 0.00050883833 0.00038692067 0.00021472976 0.0002847459 0.0007838145 0.004029389 0.000627703 0.0004711843 0.00049052015 0.0018981704 0.001829172 0.0034295702 0.0033221035 0.0021991993 0.0011389836 0.0011302317 0.0007339484 0.0005381474 0.00041928276 0.00021167674 0.00087377714 0.013535303 0.0016614589 0.0016138316 0.0014430655 0.0026836132 0.0030754188 0.002615429 0.0020536715 0.00362069 0.0015313998 0.0014420478 0.0013398731 0.0021245019 0.0013443509 0.001798031 0.008554997 0.0601972 0.009496348 0.009478844 0.0064622466 0.009947789 0.019630982 0.0101138735 0.007961487 0.024812788 0.0068742023 0.0050851265 0.005163284 0.012405681 0.005289069 0.011693308 0.021315238 0.043862473 0.010820752 0.009197558 0.0066222255 0.010520334 0.017539453 0.00832032 0.008287348 0.021227106 0.0067469925 0.004657499 0.0045422977 0.012071273 0.0061823856 0.010934121 0.018551227 0.010711861 0.0075460724 0.008184969 0.007930958 0.008552147 0.008503502 0.007883941 0.00771175 0.0078458795 0.008255189 0.008261702 0.008008301 0.008028858 0.008126555 0.0079737 0.008196164 13170.0 28.284586 372508.0 0.09268526 0.00063085894 0.026356481 0.0007113941 0.004174407 0.0040911874 0.0012509798 0.00071676314 0.0019435824 0.001543591 0.001146284 0.00063891243 0.005913967 0.0029610102 0.008099155 0.0044321194 0.0048884857 0.003750255 0.0038979028 0.0038764267 0.002190557 0.001119439 0.0012697714 0.0007033406 0.0010254814 0.0015086924 0.0036240832 0.0013798361 0.005967657 0.0037046184 0.0054361247 0.0019140529 0.0020482782 0.005100562 0.004042866 0.0063998625 0.0058575924 0.005666992 0.0063461727 0.0019221064 0.0038415282 0.0048938547 0.0010120588 0.0009315236 0.004281787 0.004858956 0.0029798017 0.0034979114 0.00701193 0.0035247565 0.0071837385 0.008915245 0.007844127 0.003701934 0.0033932158 0.0047193617 0.0024992751 0.00299054 0.0019328444 0.00391401 0.0025073288 0.004322055 0.002238878 0.0057072598 0.002477799 0.03579252 0.008217273 0.018058673 0.022061272 0.0629463 0.019073416 0.013819837 0.020423722 0.03568514 0.005489815 0.006923341 0.027140357 0.017843911 0.037926704 0.045752037 0.015299 0.006375702 0.035236828 0.033924103 0.049365383 0.021245182 0.011707131 0.013328573 0.015715098 0.01426815 0.008555521 0.008407873 0.00967496 0.010391723 0.012794356 0.014437274 5.6862545 2.0 55.0 0.0 5.0 2457600.0 3502080.0 0.0 0.0 488.0 0.0 1.0 0.0 0.0 0.0 1254420600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 884736.0 4096.0 4096.0 4.0 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 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -884736.0 0.0 1171456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8120866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3632913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648625 0.0 7.1700006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184398.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1249960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -882458.0 0.0 1171400.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 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 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 -1.0 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -3.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 1.0 0.0 -1.0 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 2.0 0.0 1.0 1.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 1.0 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 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 2.0 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 2.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 0.0 340.0 1062448.0 1171400.0 2330624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2144.0 888832.0 0.0 0.0 0.0 0.0