Input: 0.10348228 0.008049152 0.0029910705 0.008896385 0.004553346 0.001509055 0.0030395698 0.001334372 0.0025296842 0.0018773056 0.00079487194 0.0006553831 0.0024932027 0.0007781333 0.00053778326 0.0030193976 0.0031683287 0.00080603105 0.00063478167 0.00032361416 0.0012450991 0.0014532594 0.0003433572 0.0002957164 0.0011635518 0.0012347983 0.00061933056 0.0005562387 0.00099359 0.00029228284 0.00036653384 0.000696586 0.003365759 0.0005682562 0.00037683453 0.0002343413 0.0036507456 0.0005038767 0.00060902984 0.0003455032 0.0007480895 0.00024979239 0.00027683176 0.00054078765 0.0004824169 0.00036696304 0.0005038767 0.004903141 0.010923481 0.0051550795 0.00073950563 0.0024644465 0.00096740894 0.0007922968 0.0007339261 0.00085581787 0.0019670078 0.0009021711 0.0009506703 0.0016309468 0.0011682729 0.0013000363 0.0009614002 0.0059615397 0.0074907667 0.00659718 0.0017446838 0.00089573313 0.0040743626 0.00489842 0.0035558932 0.0007935844 0.0010000279 0.0004811293 0.000421471 0.00051331904 0.0011626934 0.0026846242 0.00064894516 0.0010511023 0.00897407 0.0062345085 0.00091805134 0.0012545415 0.0010270673 0.0012154846 0.0018283771 0.0016064825 0.00098286 0.0006631086 0.0006077423 0.001067841 0.00097384694 0.0013991806 0.0017554138 0.0020700148 0.0021580001 0.0017948998 0.0009970235 0.0012000335 0.0020215155 0.0024159472 0.0021691592 0.0013219253 0.0024974945 0.0019489814 0.003000942 0.0020554222 0.0021889023 0.0016133498 0.0022717372 0.003210819 0.0033670468 0.0019086369 0.002861024 0.002764884 0.005486419 0.0045284526 0.003052875 0.0065963212 0.0042662136 0.00414518 0.0042481874 0.0056314874 0.007819961 0.013197364 0.025195982 0.04613219 0.04345014 0.035462793 0.023432413 0.024404973 0.00859466 0.0074899085 0.0070877513 0.004876102 0.0055705416 0.0073954854 0.003417692 0.012827826 0.0034760626 0.005322466 0.0027228228 0.003730147 0.003629715 0.0020601433 0.0018815976 0.0018365319 0.0017833116 0.0016081993 0.0012914523 0.0013420975 0.0025146625 0.0013317968 0.0010425183 0.0011365124 0.0009841477 0.0007901508 0.0008257741 0.0019202252 0.0018790223 0.0010463811 0.0005845657 0.00073564285 0.0008541011 0.0005047351 0.00043906804 0.0007407932 0.00083435804 0.00046009867 0.00050945627 0.0004094535 0.0005957248 0.000393144 0.00039142722 0.0020129317 0.0026279704 0.0004691118 0.0003922856 0.00086182664 0.00060001673 0.0002841281 0.0003073047 0.00108973 0.0018124969 0.00061418023 0.00035108277 0.017989771 0.00082105293 0.0007300633 0.0006635378 0.0051422035 0.058630392 0.0026344082 0.0010305009 0.0013463895 0.0016918927 0.0003729718 0.001382442 0.002000485 0.0008944456 0.0007266297 0.00050044316 0.00046396145 0.005599727 0.0004472228 0.0005725482 0.056477543 0.057666417 0.001559271 0.00031717622 0.0007167582 0.00044979795 0.00023691649 0.00022747416 0.0002982916 0.0011785737 0.0009549623 0.00020558514 0.00033863605 0.0004553775 0.00048413366 0.00032533097 0.0010442352 0.0015064798 0.0003433572 0.00025708872 0.00022275299 0.00053950003 0.0004588111 0.00017940415 0.00035279954 0.0050155907 0.0015669964 0.00018412531 0.00084465876 0.0014472507 0.00023648728 0.00023562889 0.00075667346 0.0026026478 0.0015348068 0.00023777488 0.0003240434 0.0005815613 0.00016524066 0.00061246345 0.0010365096 0.0011446672 0.00066267943 0.00024421283 0.0033927986 0.0019648618 0.00047941253 0.0010377972 0.035616443 0.0043992554 4.29447e-07 0.0 3.8650232e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00042794395 0.0 0.0 0.0 5.7975344e-06 6.441705e-06 0.0 0.0 6.441705e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00084601063 0.0 0.0 0.0 2.0613457e-05 0.0016402729 2.1257627e-05 1.4171751e-05 1.1165622e-05 2.3619585e-05 4.7239173e-06 8.803664e-06 0.00010865009 0.00035515268 1.8680945e-05 1.717788e-06 0.00077150157 8.374217e-06 4.0797468e-06 3.2208525e-06 8.288327e-05 0.0020581249 5.3251428e-05 2.2975415e-05 1.1380345e-05 2.3619585e-05 1.288341e-05 1.0521452e-05 0.055387497 0.08713286 1.5030645e-05 1.5245369e-05 0.00072469184 0.00030125707 0.00015545981 6.2269814e-06 6.720846e-05 0.0019990758 5.02453e-05 2.6840438e-05 9.168694e-05 5.947841e-05 2.383431e-05 0.0002520854 0.0107473405 0.007932745 0.00011723903 2.0613457e-05 0.000711379 0.0046169846 0.002301836 3.4785207e-05 0.004435114 0.0039114035 0.00022545968 7.257654e-05 0.0001771469 0.00019539839 0.00010457035 0.0007201826 0.010717279 0.009974981 0.00064996805 5.411032e-05 0.0009806423 0.0052753272 0.0026286452 0.00013312857 0.0037570172 0.0040861885 0.00013806722 0.00010800592 0.0004693856 0.00027871112 0.0003426987 0.0014652732 0.010441789 0.01235154 0.0016181563 0.00017070519 0.0018242908 0.006788484 0.0034089503 5.2392534e-05 0.0013102428 0.015348866 0.0004824837 0.0012125436 0.0010220839 0.0015621135 0.00074788195 0.0044999607 0.011425008 0.011968903 0.0027377247 0.0005174836 0.0021429406 0.008301211 0.004216096 0.0001361347 0.0027199027 0.012509148 0.00047196227 0.0006622073 0.002771007 0.0023005477 0.0012286479 0.004417077 0.010772893 0.011856387 0.004064716 0.0006978514 0.005238824 0.019547783 0.009944704 0.00025530625 0.0038502072 0.014492334 0.0004807659 0.00097226806 0.0059265834 0.0039257896 0.002179014 0.0044162185 0.0074466113 0.011181297 0.0035794408 0.0011983719 0.003246834 0.03199015 0.016480673 0.00035579686 0.0051445602 0.012807398 0.00076999847 0.0017983094 0.004699868 0.004498028 0.0040868325 0.0037675386 0.0074180528 0.008216395 0.003387478 0.0017922971 0.003902385 0.015835645 0.008548572 0.0004129133 0.004250022 0.015032363 0.0018820515 0.0030082762 0.011882369 0.005767688 0.006230417 0.0028699944 0.004394102 0.0064584534 0.0027714362 0.0018303031 0.0053225663 0.01625865 0.009080227 0.0010330348 0.0042431513 0.012841969 0.0010117772 0.001373801 0.002666007 0.003532631 0.002860332 0.0018726037 0.0020948425 0.0053511243 0.0018805484 0.0015930337 0.0018554258 0.006929557 0.0034308522 0.0014165309 0.0033786744 0.033465732 0.0052897134 0.0047913403 0.004793273 0.011125469 0.0092472825 0.0048969844 0.0056886696 0.018072847 0.0026000869 0.0021796583 0.0043329056 0.012536846 0.004144808 0.0075617027 0.01395166 0.010764519 0.0029376324 0.0028860986 0.0021618363 0.003877477 0.0046296534 0.0024336763 0.0032197789 0.006973146 0.0011223598 0.001240243 0.0014734326 0.005312904 0.0014839541 0.0023492898 0.0043019853 0.00073843414 0.000382852 0.00078094937 0.0007974831 0.00085159345 0.0008951823 0.001245611 0.0014152427 0.0015507331 0.001429629 0.0010858568 0.0009737711 0.0011451205 0.00066843425 0.00040389493 0.00014708561 16925.0 24.016071 406472.0 0.0025118582 0.00023863882 0.00046743688 0.00017959416 0.0013629475 0.00031982522 0.0010283611 0.0002878427 0.00063719024 0.00021157668 0.00025586018 0.0003641087 0.0006199689 0.0006125883 0.0006642524 0.020104706 0.036735617 0.01635537 0.0017885611 0.00545179 0.0019091106 0.0014342931 0.0016655513 0.0015400815 0.0059905727 0.0014146116 0.0013875494 0.0017639592 0.0018353048 0.0013408058 0.0012350174 0.021381546 0.016662894 0.02587386 0.00094717473 0.0017713397 0.0033311027 0.0014047708 0.0016360291 0.0012005747 0.0013703281 0.0012497786 0.00114153 0.0009865378 0.0020960853 0.0014613552 0.0014662757 0.0015868251 0.0271261 0.025905844 0.0020887048 0.0027800193 0.002649629 0.0021403688 0.002575823 0.0027701785 0.0023150425 0.0022166348 0.0021354484 0.0023347242 0.0029104096 0.0025832038 0.0027578776 0.0034713338 0.00355006 0.006007794 0.004546439 0.004881025 0.0058798636 0.0091051785 0.005274656 0.0054321084 0.0061283433 0.008189986 0.0061775474 0.0104140015 0.009026452 0.007488831 0.009941644 0.010246708 0.009848157 0.008837017 0.012409219 0.012256687 0.015764924 0.013745104 0.014219922 0.028816253 0.018414553 0.018953335 0.021086324 0.025836958 0.036693793 0.06679427 0.12707148 0.17091706 5.0795274 0.0 0.0 0.0 14.0 2329935.0 659456.0 0.0 0.0 417.0 1.0 1.0 0.0 0.0 0.0 898532300.0 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 336896.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -336896.0 -10752.0 162816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4080586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1263304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0853424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.359398 -5.691908 4.674465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -336797.0 -10636.0 162472.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -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 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 0.0 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 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 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 -1.0 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 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 -2.0 0.0 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 -1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 2.0 -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 -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 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 -2.0 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 -2.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 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 1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 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 1.0 0.0 -1.0 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 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 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 -2.0 -2.0 1.0 0.0 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 -1.0 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 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 -5.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 442368.0 162472.0 454656.0 0.0 0.0 0.0 0.0 26712.0 618496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1704.0 444272.0 0.0 0.0 0.0 0.0


Input: 0.008043417 0.0038787841 0.0039154054 0.0038065591 0.0038492838 0.0039286297 0.0038248699 0.0037892659 0.00394694 0.0038757324 0.0038208007 0.0038187662 0.0038930257 0.0039845784 0.004036458 0.0038706462 0.003951009 0.003894043 0.0038604736 0.003918457 0.0038564047 0.004139201 0.0039225263 0.0038116456 0.0039449055 0.0041575115 0.003741455 0.0038879395 0.0039052328 0.0038726807 0.003834025 0.0038848878 0.003790283 0.003999837 0.003869629 0.0038472493 0.003853353 0.0038472493 0.0038248699 0.0041361493 0.0037709554 0.0039438885 0.0038441976 0.0038309733 0.0037272135 0.004193115 0.0038808186 0.0039835614 0.0038197835 0.004055786 0.0038838706 0.0038594564 0.004026286 0.0038075766 0.003873698 0.004216512 0.0038838706 0.003963216 0.003853353 0.0038909912 0.0039449055 0.0037841797 0.003817749 0.003975423 0.003930664 0.0038126628 0.0039408365 0.003953044 0.0037862142 0.004015096 0.0038564047 0.003975423 0.0038431804 0.0037831625 0.003889974 0.003930664 0.003909302 0.003938802 0.003990682 0.0038909912 0.003926595 0.0039916993 0.003829956 0.0038818358 0.0040639243 0.0038035074 0.0038208007 0.0039927163 0.003873698 0.0038604736 0.0038920084 0.0039337156 0.0039449055 0.003941854 0.003841146 0.003841146 0.0038228354 0.0038838706 0.0039367676 0.0039225263 0.0038116456 0.004012044 0.003993734 0.0039123534 0.003873698 0.0038360595 0.0038767497 0.0038401287 0.0038879395 0.003825887 0.0037841797 0.0041097007 0.003777059 0.0038564047 0.0039326986 0.0039204913 0.0039733886 0.0040252684 0.0042948406 0.003825887 0.003708903 0.0039550783 0.003877767 0.0038960774 0.0038024902 0.0038808186 0.0038146973 0.003918457 0.0038350422 0.0038757324 0.003902181 0.0038970946 0.003885905 0.003918457 0.003869629 0.003951009 0.0037679037 0.0039235433 0.003937785 0.0039550783 0.003937785 0.0038380942 0.003894043 0.004098511 0.0039398195 0.003913371 0.0039520264 0.0039978027 0.003781128 0.0039204913 0.003825887 0.0038126628 0.0038391114 0.0039042155 0.0039449055 0.0039072675 0.003934733 0.0039520264 0.0039337156 0.0039723716 0.003937785 0.0038930257 0.0039072675 0.0038197835 0.003821818 0.003949992 0.0037475587 0.003978475 0.0039031983 0.003937785 0.0038157145 0.003825887 0.0038380942 0.003753662 0.0038126628 0.0038950602 0.004022217 0.0038594564 0.003882853 0.0039479574 0.0039042155 0.0038655598 0.0038167317 0.0038604736 0.003921509 0.0038879395 0.0038238526 0.0040415446 0.0037790935 0.0038767497 0.0038716635 0.0038238526 0.003862508 0.0038289388 0.0038869223 0.0039520264 0.0038523355 0.0039072675 0.0039723716 0.003877767 0.003866577 0.0037841797 0.0038564047 0.0039154054 0.0038614909 0.0038706462 0.0037679037 0.0038930257 0.0039255777 0.0038401287 0.0038981119 0.003821818 0.0037668864 0.003909302 0.003774007 0.00381368 0.003790283 0.0039031983 0.0039113364 0.003909302 0.003941854 0.0038543702 0.003853353 0.003918457 0.0038289388 0.0038808186 0.0038798014 0.0038035074 0.0038818358 0.0038492838 0.0038309733 0.0038808186 0.0038197835 0.0040415446 0.0037160239 0.0038401287 0.0039815265 0.0037628175 0.0038126628 0.003853353 0.0037272135 0.004012044 0.0038472493 0.003967285 0.003953044 0.0038319905 0.0038706462 0.00391744 0.00391744 0.0039408365 0.0037526449 0.0037394206 0.0038614909 0.003745524 0.0039052328 0.0039733886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000958742 4.58241e-06 3.5640967e-06 2.5457834e-06 2.5457834e-06 4.58241e-06 3.7168436e-05 1.6293014e-05 2.0366267e-06 3.5640967e-06 1.52747e-06 0.0 1.0183134e-06 1.52747e-06 2.0366267e-06 1.0183134e-06 0.00093582994 5.091567e-06 4.0732534e-06 5.804386e-05 3.05494e-06 3.05494e-06 4.0732534e-06 2.5457834e-06 4.0732534e-06 3.05494e-06 3.05494e-06 2.5457834e-06 4.0732534e-06 4.0732534e-06 3.05494e-06 3.05494e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008014126 4.58241e-06 5.6007234e-06 8.655664e-06 2.4948677e-05 1.2728917e-05 0.00012168845 5.040651e-05 2.0366267e-06 3.5640967e-06 1.52747e-06 0.0 1.0183134e-06 1.52747e-06 2.0366267e-06 1.0183134e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00051883067 1.985711e-05 2.6476147e-05 3.0040244e-05 4.8369882e-05 3.1567713e-05 0.00011099615 7.2300245e-05 1.4765544e-05 1.6293014e-05 2.2402894e-05 1.832964e-05 1.9347954e-05 1.6293014e-05 1.7820483e-05 5.9062175e-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 3.665928e-05 0.00014663712 1.6293014e-05 0.00016649424 8.146507e-05 6.1607956e-05 6.10988e-05 0.00021180918 0.00014663712 1.6293014e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 0.0005697463 0.0006002957 0.0004653692 0.00040936196 0.00031313134 0.00052443135 0.00045162198 0.00055498077 0.00054021523 0.0002841094 0.00020417183 0.00051221164 0.0002092634 0.0002219923 0.00018075062 0.00021486412 0.06187883 0.06181671 0.061873738 0.06196895 0.06199237 0.06185999 0.061588608 0.061603885 0.061835043 0.06226375 0.0616492 0.061657853 0.061761722 0.061592683 0.061499506 0.061686877 4505.0 5.6448393 25430.0 0.0095556425 0.010342116 0.010853323 0.009044436 0.010302792 0.009673614 0.009241054 0.011718443 0.009830908 0.010263468 0.009398349 0.0082186395 0.009319701 0.011246559 0.009594967 0.010224145 0.010460086 0.010735352 0.010931971 0.011246559 0.009437672 0.0101454975 0.010106174 0.0095556425 0.009319701 0.009201731 0.008926465 0.009319701 0.010106174 0.009752261 0.010027527 0.009083759 0.009398349 0.011089264 0.011167912 0.0095556425 0.010263468 0.012190326 0.01038144 0.010106174 0.0099488795 0.008611876 0.009398349 0.010617381 0.010460086 0.010420763 0.009830908 0.011246559 0.009791585 0.009830908 0.009398349 0.011600472 0.011600472 0.009830908 0.010106174 0.010971294 0.011285882 0.010460086 0.00963429 0.010224145 0.009476996 0.009752261 0.010106174 0.010184821 0.009909555 0.010578058 0.010578058 0.009870232 0.011836413 0.013802595 0.011639795 0.010302792 0.010224145 0.011285882 0.009988203 0.010224145 0.012701534 0.011207236 0.012151003 0.011403854 0.010538734 0.011403854 0.012111679 0.011049941 0.012426268 0.011482501 0.010106174 0.01136453 0.010420763 0.011128589 0.01006685 0.010853323 0.011521825 0.011167912 0.009673614 0.010853323 6.579033 0.0 0.0 0.0 13.0 983040.0 991232.0 0.0 0.0 24.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 12.0 0.0 5.0 1.0 4.0 0.0 978944.0 512.0 4096.0 3.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 978944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9175833 1.0148145 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 978816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -767.0 2420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 982248.0 2192.0 987136.0 0.0 0.0 0.0 0.0 224.0 989332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 982132.0 256.0 4864.0 0.0 0.0


Input: 0.20407392 0.010122063 0.0052293837 0.0040204907 0.0077364175 0.0035127804 0.002939227 0.003015368 0.010221295 0.0014563513 0.0014638406 0.001330594 0.006920087 0.0024018718 0.001472578 0.0074396553 0.0055713938 0.001495982 0.004300402 0.00085346494 0.0032656344 0.002550409 0.00086906756 0.00067185005 0.0022979581 0.0012784811 0.0007389415 0.00067871524 0.0013852032 0.0010375761 0.0007907423 0.0011224545 0.007853125 0.00060819124 0.0013599269 0.00088591845 0.0023506952 0.000989208 0.0006219216 0.00065687153 0.0017318941 0.00083411764 0.00057792215 0.0013461966 0.0015505913 0.0009589388 0.0017512414 0.0008107136 0.0025862951 0.00092679734 0.0015917823 0.0053782333 0.0012831619 0.0011271354 0.0008927836 0.0015106485 0.0018632683 0.0010266543 0.0021035492 0.0021054214 0.0013621113 0.0023247947 0.0016732281 0.0010406967 0.0051276544 0.0021824986 0.0039371727 0.0019818486 0.0024193467 0.02105515 0.004923572 0.0023307237 0.0022012217 0.0018158363 0.001431387 0.00083973457 0.0016835259 0.008976204 0.0016130019 0.0016167465 0.010210997 0.0027139247 0.0019287996 0.0026081388 0.0022767386 0.0042308145 0.004212715 0.0027551157 0.0017718369 0.0020055645 0.00069119735 0.0015512154 0.0018576514 0.004489194 0.0042801187 0.0039718105 0.0031854368 0.007729552 0.0025940964 0.0032462871 0.007803509 0.0070339865 0.0036088927 0.0021927962 0.011879545 0.005919333 0.0069812494 0.0012413468 0.0038682087 0.0054384596 0.0038650883 0.0039768033 0.0064523197 0.0006297229 0.0048171617 0.006744401 0.010924662 0.0069590937 0.0015418538 0.002454921 0.0026683651 0.0011536599 0.00055857486 0.0004640228 0.0010216614 0.0013908201 0.0010569234 0.00090557773 0.003598595 0.0014457415 0.0006297229 0.011296318 0.004571576 0.008101207 0.0010082432 0.00071428926 0.0022592635 0.009959171 0.0012332334 0.028227689 0.0011349367 0.018519409 0.0008203873 0.00059040426 0.0026359116 0.00043687416 0.0005426601 0.0009548821 0.0012510205 0.0010403846 0.0004693277 0.000388818 0.0010500583 0.0005189441 0.00040130015 0.0003697828 0.0009636196 0.00054983736 0.00044842015 0.00044685986 0.0018776228 0.002578494 0.00036947074 0.0019344165 0.0012775449 0.0006749706 0.00038725775 0.00046308662 0.0015381092 0.00045247682 0.0004952281 0.0004989727 0.0028811852 0.0005326744 0.0005414119 0.0008163306 0.003127395 0.0007639057 0.0036120133 0.00058634754 0.0011564684 0.00091962016 0.0015212583 0.00088903896 0.0024024958 0.0010594198 0.00049210753 0.0005513976 0.0011904822 0.0010222855 0.0008700037 0.0006865166 0.0074483925 0.0019777918 0.0027123645 0.003609829 0.0066695083 0.0013792742 0.004948224 0.010267167 0.0035533474 0.0015250029 0.00069743843 0.00087780505 0.02837841 0.00089590414 0.0017094263 0.0012681833 0.00416934 0.0007586008 0.0008416069 0.0006437653 0.0009757897 0.0003922506 0.000665609 0.00078793376 0.0015203222 0.0006206734 0.00047744106 0.0008731242 0.0011240148 0.0004115979 0.0004215836 0.00062566623 0.0028197109 0.0009979454 0.0012825378 0.0012628784 0.0027429457 0.0025544658 0.00081352214 0.00075048744 0.017876267 0.005341411 0.0007751396 0.0023778437 0.0055270824 0.00084816 0.00068402017 0.0007439343 0.0048867497 0.0014008059 0.0013128069 0.0012890908 0.0035246385 0.0007664021 0.0022988943 0.0014535428 0.0032328689 0.0016289166 0.0011876737 0.0013461966 0.008933765 0.0023488228 0.004158418 0.072907746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011267308 1.8419816e-05 4.370804e-06 8.273308e-06 4.370804e-06 4.8391043e-06 1.4361213e-05 1.5922215e-05 2.3883322e-05 3.5903033e-06 1.45173135e-05 1.4049013e-05 3.434203e-06 3.122003e-06 4.8391043e-06 1.4049013e-05 0.0027490796 7.633297e-05 8.273308e-06 6.244006e-06 4.214704e-06 3.434203e-06 3.7932336e-05 7.570857e-05 8.1172075e-06 3.2781031e-06 2.3883322e-05 7.0713366e-05 5.307405e-06 4.9952046e-06 1.4205113e-05 0.0004249046 0.001476083 7.617687e-05 2.138572e-05 1.9356417e-05 1.7795417e-05 1.6390515e-05 3.9025035e-05 6.6654764e-05 4.9952046e-06 1.2956312e-05 2.7317525e-05 6.2596155e-05 2.4976023e-06 4.8391043e-06 3.9025035e-06 6.618646e-05 0.0043851654 0.00018076396 5.479115e-05 2.263452e-05 0.00019059828 9.896749e-05 0.0006267421 0.00031610279 3.0283429e-05 3.8556736e-05 5.8849753e-05 0.000113797 2.6537024e-05 1.5297814e-05 4.7922746e-05 0.00050654495 0.01820674 0.0005436968 0.0004121044 0.0003265615 0.0009798406 0.0008794682 0.0035559612 0.0014036525 0.00019169098 0.00039368458 0.00027255085 0.00025647253 0.0001055237 9.241128e-05 0.00015422695 0.0016371784 0.033317547 0.0015848847 0.0024471818 0.0010992573 0.0014251943 0.0024418745 0.005106504 0.0017486338 0.00059599034 0.00085355557 0.0007940814 0.00084918475 0.000620342 0.0005727314 0.0005316771 0.005474276 0.020780519 0.0010805252 0.00393185 0.0020989226 0.0048092892 0.003120442 0.013259927 0.0077742552 0.0002138572 0.00023227702 0.0005575897 0.00069573836 0.0002233793 0.00026739953 0.00027458015 0.003019601 0.014362774 0.0019741985 0.0019813792 0.001022456 0.0022053828 0.0014233211 0.0075031095 0.0054126163 0.0004269339 0.0002204134 0.0013341879 0.00195453 0.00032874692 0.00027738995 0.00047672985 0.0060907155 0.011834108 0.0012597282 0.0019226854 0.0008637021 0.00200776 0.0014011549 0.004657872 0.0030356795 0.0014400238 0.0004247485 0.00091864937 0.0012461474 0.00080906705 0.00060379534 0.001404589 0.004213767 0.02225629 0.002399103 0.0023781857 0.0021110983 0.008877415 0.004329906 0.0066562663 0.0035423806 0.010830852 0.0015037127 0.0019008315 0.0023519609 0.0069903205 0.0015844165 0.00558339 0.014849651 0.12593175 0.015698522 0.008758779 0.017137922 0.037260793 0.032181606 0.033284143 0.0215042 0.07080687 0.006353432 0.008807639 0.010350688 0.061223727 0.008899113 0.03336344 0.06758059 0.013418681 0.0022144367 0.0012620697 0.0024848022 0.0042874464 0.003967441 0.0040910724 0.0031245004 0.007924268 0.0008676046 0.0011006622 0.001262538 0.0060437294 0.0013919449 0.0039223284 0.0072144805 0.003479004 0.0017948395 0.0016832278 0.0015728651 0.0020734782 0.0016908768 0.0017355214 0.0017171015 0.0016373344 0.0015567867 0.0015007468 0.0016140755 0.0015592843 0.0015881628 0.0016268757 0.0016225049 9036.0 20.52667 185479.0 0.06423908 0.0014826476 0.003736272 0.0057364986 0.004070542 0.0031216473 0.0025555454 0.0024692821 0.004431769 0.0041406304 0.0014449075 0.0041028904 0.002528588 0.0033642622 0.021231513 0.0019031804 0.0064158207 0.005138048 0.0057149325 0.0036446175 0.0031486044 0.0030246011 0.0026472 0.0024477164 0.0031539958 0.0030299926 0.016341472 0.0013586443 0.0031324301 0.0036338347 0.003035384 0.008642488 0.02449873 0.013376177 0.008168041 0.011931269 0.012141536 0.010454014 0.008141084 0.0048900414 0.0042484594 0.008286652 0.0008356741 0.0012777727 0.0046096863 0.005617887 0.0036661832 0.007871511 0.008205781 0.0016012595 0.0049870876 0.009138501 0.008248912 0.0032564334 0.008841971 0.005041002 0.008076386 0.000749411 0.0016875226 0.00058766763 0.0076127215 0.00059305906 0.00054453604 0.007461761 0.0005391446 0.044463255 0.0065452154 0.026741572 0.02177605 0.06595356 0.007154449 0.012518938 0.012659115 0.03564824 0.0024045848 0.0035960944 0.027318457 0.018330917 0.03906642 0.041600395 0.016821312 0.00088958855 0.037605334 0.03243494 0.05562894 0.014621601 0.00801708 0.0226279 0.020422798 0.00854005 0.0021350125 0.00026418085 0.0010082003 0.00022644072 0.0004906216 0.00023183218 5.70417 53.0 37.0 13.0 5.0 3204584.0 3395584.0 1.0 0.0 790.0 0.0 1.0 1.0 1.0 0.0 1538032500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 2170368.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 780800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2170880.0 0.0 206848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.39124358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5672584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8175173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.224141 0.0 4.0190587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 780756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -219336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2170200.0 0.0 206824.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -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 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -3.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 1.0 -1.0 0.0 0.0 2.0 1.0 -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 2.0 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 -1.0 0.0 -2.0 -2.0 1.0 1.0 -1.0 -1.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 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 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 2.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 -4.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 -1.0 -1.0 0.0 2.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 -1.0 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 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -3.0 0.0 0.0 -2.0 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 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -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 1.0 1.0 1.0 -1.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 -2.0 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 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 -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 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -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 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 2.0 -2.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 -2.0 1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 3.0 0.0 0.0 -1.0 -1.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 1.0 1.0 1.0 -2.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -3.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 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 1.0 -1.0 1.0 0.0 -2.0 1.0 0.0 0.0 2.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 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 -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 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 -3.0 0.0 1.0 -1.0 0.0 -1.0 -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 -1.0 1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 2928184.0 206824.0 3186688.0 0.0 0.0 7144.0 3197440.0 0.0 0.0 84.0 2692272.0 0.0 0.0 0.0 0.0 24.0 2692452.0 64.0 2692360.0 0.0 0.0 3276.0 2174976.0 0.0 0.0 0.0 0.0


Input: 0.5113636 0.01899858 0.014737216 0.005149148 0.0037286931 0.0017755682 0.004794034 0.0012428977 0.0024857954 0.0007102273 0.0026633523 0.00035511365 0.0015980114 0.0014204546 0.0035511365 0.00053267047 0.0015980114 0.0012428977 0.0010653409 0.0007102273 0.0010653409 0.0007102273 0.0014204546 0.0014204546 0.0007102273 0.0 0.0008877841 0.00035511365 0.0008877841 0.0010653409 0.00053267047 0.00053267047 0.0074573862 0.0007102273 0.00053267047 0.0012428977 0.0008877841 0.0012428977 0.00017755682 0.00035511365 0.0017755682 0.00053267047 0.0012428977 0.0008877841 0.00035511365 0.0012428977 0.0143821025 0.0012428977 0.004794034 0.0023082385 0.0021306819 0.0012428977 0.0014204546 0.0010653409 0.0007102273 0.0014204546 0.0012428977 0.0008877841 0.0007102273 0.0007102273 0.00017755682 0.00017755682 0.00035511365 0.00017755682 0.001953125 0.008877841 0.0017755682 0.0037286931 0.0026633523 0.0008877841 0.0015980114 0.00035511365 0.0008877841 0.0023082385 0.00053267047 0.00053267047 0.0021306819 0.0037286931 0.001953125 0.0012428977 0.0030184658 0.00035511365 0.0021306819 0.0056818184 0.0042613638 0.0014204546 0.0017755682 0.00035511365 0.0014204546 0.00035511365 0.00017755682 0.00035511365 0.0 0.0 0.0 0.0028409092 0.0007102273 0.02006392 0.0072798296 0.005859375 0.009232954 0.021129262 0.0026633523 0.0056818184 0.0014204546 0.023082387 0.0007102273 0.0026633523 0.008345171 0.0090553975 0.023259943 0.027166193 0.013494318 0.00017755682 0.0234375 0.014204546 0.028409092 0.008700284 0.0015980114 0.0007102273 0.0008877841 0.0056818184 0.0 0.00017755682 0.00035511365 0.0 0.00053267047 0.0 0.0014204546 0.00035511365 0.0 0.0007102273 0.00017755682 0.00035511365 0.00035511365 0.00017755682 0.0 0.00017755682 0.0 0.00017755682 0.00017755682 0.00053267047 0.00017755682 0.0 0.0021306819 0.0007102273 0.00017755682 0.00035511365 0.00035511365 0.00017755682 0.0008877841 0.0 0.0 0.00035511365 0.00017755682 0.00017755682 0.00017755682 0.0015980114 0.0 0.0 0.0 0.00017755682 0.00053267047 0.00017755682 0.00017755682 0.0 0.00017755682 0.00017755682 0.0 0.00053267047 0.00017755682 0.00035511365 0.00035511365 0.00017755682 0.0 0.0007102273 0.00035511365 0.00017755682 0.0 0.00017755682 0.00017755682 0.0 0.0 0.00017755682 0.00053267047 0.00017755682 0.00035511365 0.0 0.00017755682 0.00017755682 0.0008877841 0.00035511365 0.0 0.0 0.00017755682 0.00035511365 0.00035511365 0.0 0.0 0.0 0.00017755682 0.0 0.0 0.0 0.00017755682 0.00035511365 0.0 0.0037286931 0.00017755682 0.00017755682 0.0 0.0 0.0 0.0007102273 0.0 0.00017755682 0.0 0.0 0.00017755682 0.0 0.0 0.0 0.0 0.00017755682 0.00035511365 0.0 0.0 0.00017755682 0.0 0.00017755682 0.0 0.0 0.0008877841 0.00035511365 0.0 0.0 0.00017755682 0.0 0.0 0.00017755682 0.0 0.0 0.0 0.00017755682 0.00035511365 0.0 0.0 0.0 0.0 0.00017755682 0.00017755682 0.0 0.00017755682 0.0 0.00053267047 0.00053267047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.16906738 0.0017089844 0.0073242188 0.006225586 0.0073242188 0.004272461 0.035888672 0.016967773 0.00024414062 0.0 0.00012207031 0.00024414062 0.0 0.0 0.00012207031 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2397461 0.009765625 0.020263672 0.011352539 0.021972656 0.015380859 0.100097656 0.060302734 0.0032958984 0.005004883 0.0024414062 0.0025634766 0.0036621094 0.0010986328 0.0015869141 0.0014648438 0.07128906 0.004272461 0.010131836 0.0056152344 0.013549805 0.010620117 0.07519531 0.04699707 0.0020751953 0.0026855469 0.0012207031 0.0015869141 0.0030517578 0.0007324219 0.00048828125 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 19.625 1413.0 0.010615711 0.00070771406 0.00070771406 0.0028308562 0.0 0.00070771406 0.0 0.0 0.00070771406 0.0 0.0 0.0 0.00070771406 0.0028308562 0.027600849 0.0014154281 0.006369427 0.006369427 0.0070771407 0.0028308562 0.0042462847 0.0028308562 0.0021231424 0.0028308562 0.0042462847 0.0028308562 0.0014154281 0.0 0.00070771406 0.00070771406 0.00070771406 0.0 0.00070771406 0.028308563 0.0035385704 0.009907997 0.008492569 0.0021231424 0.0014154281 0.0014154281 0.0 0.0056617125 0.00070771406 0.0 0.0042462847 0.012738854 0.0035385704 0.0021231424 0.0035385704 0.00070771406 0.006369427 0.013446568 0.009907997 0.0042462847 0.0021231424 0.00070771406 0.0028308562 0.0 0.0 0.0 0.0 0.0 0.0 0.009907997 0.0014154281 0.055201698 0.026893135 0.016277423 0.024769993 0.06723284 0.0070771407 0.017692853 0.0028308562 0.06510969 0.0028308562 0.009200283 0.021939136 0.027600849 0.060863413 0.07147912 0.036801133 0.0 0.064401984 0.042462844 0.087756544 0.029016277 0.0056617125 0.0021231424 0.0021231424 0.018400567 0.0 0.0 0.0 0.0 0.0 0.0 5.0593266 0.0 0.0 0.0 1.0 5632.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 4.0 0.0 3072.0 512.0 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 -3072.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3060336 0.0 3.1958601 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 -2884.0 0.0 1104.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 10984.0 1104.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 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: 0.056519933 0.00829423 0.006168008 0.0056403247 0.0057549486 0.00496394 0.0041966825 0.0054193377 0.0050413883 0.005615541 0.0037516109 0.0044682687 0.0049484503 0.0031743606 0.0043206 0.004635558 0.005039323 0.0037609048 0.0049308953 0.004161572 0.004356743 0.003173328 0.0041016787 0.0038269942 0.0050734007 0.00334578 0.0031743606 0.002937884 0.0041429847 0.003434588 0.003792917 0.0037970475 0.0061607794 0.0038146025 0.0034862203 0.003026692 0.004881328 0.004165703 0.0038466146 0.0037237294 0.0047212676 0.0038961817 0.003328225 0.0031062057 0.0043701674 0.0037216642 0.0037226968 0.0035822566 0.005512276 0.003949879 0.003090716 0.0028986435 0.0036772604 0.003085553 0.0026879832 0.002859403 0.0041739643 0.0033096375 0.0035141017 0.0033519762 0.0040015117 0.0032383848 0.003504808 0.0034542081 0.006593459 0.003948847 0.0036256278 0.0032363194 0.0041533113 0.003222895 0.003539918 0.0030741936 0.0049907886 0.0037640028 0.0037061744 0.0035822566 0.0041357563 0.0031258261 0.0035595384 0.0034655675 0.0051622083 0.003627693 0.0036473135 0.003328225 0.0039323242 0.0033819228 0.0033623027 0.0035440486 0.004637623 0.003648346 0.0038094393 0.0035037755 0.0041130376 0.0033881187 0.0036906847 0.003792917 0.0059067477 0.003628726 0.0033416497 0.0029513086 0.004006675 0.0030504428 0.0032724622 0.0030277246 0.0049711685 0.003160936 0.0031950136 0.0030566386 0.0035760608 0.0028490764 0.0030948466 0.0031888178 0.00451164 0.0032869193 0.0032270257 0.0031382178 0.0038868878 0.0033302906 0.0032889845 0.0036256278 0.0046241987 0.003299311 0.0034831224 0.003164034 0.004028361 0.0031950136 0.0034666 0.0033478455 0.0086319065 0.0046035456 0.0040149363 0.003522363 0.0043660365 0.0034356206 0.0030163655 0.003393282 0.0045426195 0.003845582 0.0029709288 0.0031836545 0.0037350885 0.0028015745 0.0028449458 0.0029833207 0.0052179713 0.0032187644 0.0034996448 0.0030225613 0.0036648684 0.0031867523 0.0033034417 0.0032734948 0.00454675 0.002853207 0.0030473447 0.002714832 0.0035161672 0.0032332216 0.0029781575 0.0031537076 0.0050104093 0.0034211634 0.0032734948 0.00280364 0.0037701987 0.003017398 0.0030628345 0.003184687 0.0041347235 0.0030008757 0.0031278913 0.0030132674 0.0036535093 0.002841848 0.002918264 0.0030432143 0.0046655047 0.0031175648 0.003845582 0.0028604355 0.0035657343 0.003161969 0.0029864185 0.0031196303 0.004253478 0.0031537076 0.0033364864 0.0031722954 0.0036493787 0.0032032747 0.0033364864 0.0033437149 0.00670705 0.004066569 0.0037257948 0.0033364864 0.0041192337 0.0032600705 0.0033096375 0.0032342542 0.0043309266 0.003334421 0.0031268587 0.0030752264 0.0036411176 0.0029874512 0.0030876182 0.0027933135 0.0042555435 0.0032745274 0.0031000099 0.003006039 0.0037113377 0.0030318552 0.0029451128 0.0029595697 0.003974663 0.003114467 0.002732387 0.0026342855 0.0035368202 0.0029544064 0.0035977464 0.0028924476 0.0049536135 0.0032600705 0.0033984452 0.0029667984 0.0038084066 0.0030721284 0.0031981114 0.0029027741 0.004438322 0.005449285 0.0034645346 0.0031309894 0.0037980801 0.0030886508 0.003246646 0.003187785 0.004608709 0.00332616 0.003410837 0.0030421817 0.0037392192 0.0030979447 0.0033292577 0.0032507766 0.004361906 0.0030463121 0.0031898504 0.0028614681 0.004010806 0.0030989773 0.004224564 0.0045023463 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09907971 0.06202103 0.062438965 0.05532423 0.060611013 0.059556864 0.054962676 0.054478016 0.060486875 0.0531999 0.052169025 0.05298007 0.056447174 0.050616767 0.056661315 0.05388163 4039.0 5.702649 23033.0 0.017149307 0.010593496 0.009421265 0.0086831935 0.01345895 0.012503799 0.011895975 0.011461816 0.0125472145 0.009812009 0.00850953 0.008856857 0.013806278 0.01055008 0.011722311 0.009855425 0.016628316 0.011895975 0.0086831935 0.0074675465 0.009855425 0.008552946 0.007901706 0.0083792815 0.010246169 0.008466114 0.009551513 0.008900274 0.011418399 0.009030522 0.009638345 0.009247601 0.018234707 0.010810576 0.010419833 0.009030522 0.010810576 0.008813442 0.0107237445 0.00829245 0.014197022 0.0116354795 0.009725177 0.008943689 0.011505231 0.009291017 0.0116354795 0.009551513 0.014718013 0.009551513 0.00989884 0.009073937 0.012156472 0.009377849 0.009551513 0.009812009 0.013632614 0.009291017 0.010506664 0.009551513 0.011114488 0.009855425 0.010419833 0.010680328 0.017887378 0.01098424 0.009638345 0.008162202 0.01302479 0.008205618 0.009334433 0.00829245 0.015412669 0.009291017 0.008900274 0.0086831935 0.011331568 0.008162202 0.010029089 0.00785829 0.0131550385 0.007988539 0.008639778 0.008770025 0.011374984 0.009421265 0.0083792815 0.008031954 0.011114488 0.008943689 0.0119393915 0.00850953 0.011244736 0.008987105 0.010029089 0.008770025 6.554923 0.0 0.0 0.0 14.0 968384.0 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: 0.32225296 0.037826844 0.011354116 0.006862075 0.0056880815 0.0051313993 0.004855814 0.0031471846 0.014038318 0.0026842013 0.0051589576 0.0027944355 0.0034668637 0.0035881212 0.0016149301 0.0048778607 0.007969928 0.0019566559 0.0013283214 0.0021881475 0.0013889502 0.0023700339 0.0009425019 0.0009039199 0.004530623 0.0011519467 0.0012070638 0.0010086424 0.001372415 0.001091318 0.00084329117 0.0010968297 0.008322678 0.0077770185 0.0014330437 0.0008763614 0.005809339 0.0009535253 0.00065038144 0.00046849507 0.0033896996 0.0008047092 0.0008598263 0.001785793 0.0006724282 0.0027558533 0.001504696 0.0011023413 0.0058203624 0.0017141409 0.0013834385 0.0051479344 0.0016094184 0.00073305704 0.00077163894 0.0004905419 0.0020062614 0.0010362009 0.0013228096 0.0021385422 0.0008708497 0.00067793997 0.00056770584 0.0006448697 0.0041448036 0.0068014464 0.0012897394 0.0025298735 0.0066250716 0.0040731514 0.0022873583 0.0011298999 0.022168085 0.003973941 0.001107853 0.00085431454 0.0047510914 0.0023259404 0.0010251774 0.001223599 0.0029046696 0.0005621941 0.002011773 0.0018133515 0.0015267428 0.0022432646 0.0010086424 0.0011684819 0.0019952378 0.00037479607 0.00093147845 0.0014716258 0.0023038934 0.0012291106 0.0012070638 0.00096454873 0.0020724018 0.0029432515 0.0018464217 0.0027172714 0.0023700339 0.0051313993 0.0029432515 0.00092045503 0.002088937 0.0032684421 0.0006944751 0.0008873848 0.00523061 0.0017306759 0.003251907 0.0033125358 0.0056715463 0.00047400678 0.004321178 0.0033015124 0.007771507 0.0042770845 0.00086533796 0.00091494335 0.0019070506 0.0011795053 0.00076612725 0.00034723754 0.0010968297 0.0009921072 0.0005787292 0.0006558931 0.019191762 0.0013062746 0.0012070638 0.0054290313 0.0013393448 0.003687332 0.0012070638 0.00039133118 0.0018905154 0.0055502886 0.00086533796 0.014220203 0.0007881741 0.004078663 0.00051810045 0.00035826094 0.0019676792 0.00035274925 0.000639358 0.00036377265 0.00083226775 0.00046849507 0.00056770584 0.00046849507 0.0011795053 0.000507077 0.0004629834 0.0003141673 0.00038581947 0.00030314387 0.0005897526 0.00041888971 0.0026952247 0.0016976057 0.0014606023 0.0015983949 0.0014440672 0.001278716 0.0015102077 0.0014054852 0.0020834252 0.0011243882 0.0013393448 0.0013062746 0.0016645355 0.0014881608 0.0016259535 0.001636977 0.0014495789 0.00042991314 0.0005125887 0.000319679 0.00050156534 0.00029212047 0.00053463556 0.0009259668 0.0019125623 0.00096454873 0.00093147845 0.0006448697 0.0006614048 0.00046849507 0.00053463556 0.00054014724 0.004679439 0.0022542882 0.0010968297 0.0025849906 0.0020393315 0.00040786632 0.0010196657 0.0015322545 0.002480268 0.0017582345 0.0007881741 0.0014716258 0.0039959876 0.000639358 0.00079919747 0.00096454873 0.0020834252 0.00076612725 0.001410997 0.0009259668 0.00045747167 0.0003307024 0.00059526437 0.00073305704 0.0020227963 0.0008928965 0.00054014724 0.0007385687 0.00061731116 0.00050156534 0.00073305704 0.00054014724 0.002447198 0.00093699014 0.0009976189 0.0005566824 0.00068896334 0.000545659 0.00073305704 0.00053463556 0.005792804 0.0016094184 0.0007275453 0.0021164955 0.0016259535 0.000545659 0.00063384627 0.0006117995 0.002915693 0.0007220336 0.00092045503 0.00051810045 0.0006724282 0.00041888971 0.0011960404 0.001091318 0.002408616 0.00093699014 0.0010251774 0.0006614048 0.00096454873 0.00084329117 0.0015763482 0.11143569 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010653409 0.0 0.00021362305 2.7743254e-06 5.271218e-05 4.4389206e-05 5.5486507e-06 2.7743254e-06 0.00024968927 2.7743254e-06 2.7743254e-06 5.5486507e-06 1.3871627e-05 0.0 2.7743254e-06 0.026744496 0.0022666238 1.6645952e-05 0.00039672852 1.10973015e-05 8.877841e-05 9.1552734e-05 1.3871627e-05 2.2194603e-05 0.000460538 1.10973015e-05 8.322976e-06 1.10973015e-05 2.7743254e-06 1.10973015e-05 1.10973015e-05 0.030667393 0.006397594 5.5486507e-05 0.0002607866 1.6645952e-05 0.000110973015 0.00014149059 6.380948e-05 9.432706e-05 0.0003301447 1.9420277e-05 4.716353e-05 1.10973015e-05 1.6645952e-05 3.8840553e-05 1.6645952e-05 0.009424383 0.02239158 6.658381e-05 0.00095159357 0.00012207031 0.00018865411 9.432706e-05 0.0005187988 0.00016091087 0.0017117587 0.0002080744 4.4389206e-05 6.1035156e-05 4.4389206e-05 3.3291904e-05 0.0002524636 0.012922808 0.06001698 0.0022166858 0.0024663752 0.0009654652 0.0019392534 0.00047718396 0.0024885698 0.0015480735 0.0025912197 0.00030517578 0.00037730823 0.000110973015 9.710139e-05 0.00015536221 0.0003079501 0.009163597 0.10130449 0.0039478648 0.0051047583 0.002421986 0.0045276987 0.0016091086 0.004880038 0.0036177202 0.004724676 0.00043834338 0.0006353205 0.00042169745 0.00038563123 0.00035788797 0.0020363547 0.011313698 0.026719527 0.0011874113 0.0018449263 0.00086004083 0.0007795854 0.0007351962 0.0031821511 0.0018088601 0.0010930841 0.00021362305 0.00014426491 0.0002080744 0.00016645952 0.00023859198 0.00021084872 0.00038008255 0.044977363 0.0027021929 0.0033541592 0.0011485707 0.0026300603 0.0020335803 0.0049854624 0.0030850498 0.003581654 0.00043556906 0.00041892313 0.00054376776 0.00056318805 0.0005132502 0.00067693536 0.0022139116 0.045074463 0.0031433105 0.0024663752 0.0018060858 0.003293124 0.0026161887 0.0064086914 0.004128196 0.002960205 0.0010098544 0.0008905584 0.0008461692 0.001151345 0.00087668677 0.0011957343 0.0016784668 0.030853271 0.001944802 0.002746582 0.0015508478 0.0026883213 0.0019004128 0.0032681553 0.0021889426 0.0030351118 0.0009460449 0.0008544922 0.0008822354 0.0008128773 0.0007906827 0.0007990057 0.0015563965 0.021476053 0.0024774724 0.0026078657 0.0019891912 0.0037148215 0.0022361062 0.002327659 0.002347079 0.0032348633 0.001381614 0.015056264 0.0015591708 0.0025024414 0.001356645 0.0015869141 0.002327659 0.010639537 0.0010181774 0.0013705167 0.0010348234 0.0015342019 0.0008073287 0.0011041815 0.0011457964 0.0015536222 0.00064086914 0.0033819026 0.0006630637 0.00095159357 0.00068525836 0.0009765625 0.0009016557 0.04287165 0.0068026455 0.009174693 0.007035689 0.034135297 0.005551425 0.0043612393 0.00837014 0.028148305 0.0019669966 0.0013150302 0.0038424404 0.016199285 0.005673495 0.009371671 0.014043635 0.017594771 0.0048772637 0.0053599966 0.0067499336 0.00999312 0.004461115 0.0064697266 0.005645752 0.007945668 0.0016867898 0.0018560236 0.0020419033 0.005257346 0.0026272861 0.003301447 0.005040949 0.0019309304 0.00075461646 0.0007684881 0.0010847612 0.00080178 0.0007351962 0.0011929598 0.0007795854 0.0005909313 0.0004161488 0.00034956497 0.00033569336 0.00036898526 0.00041337448 0.00036621094 0.00047440964 592.0 15.1402025 8963.0 0.030570121 0.0027892448 0.0014504072 0.0016735469 0.0075867455 0.0011156979 0.0008925583 0.0026776749 0.0010041281 0.0008925583 0.0011156979 0.0013388374 0.0012272677 0.0040165125 0.01048756 0.009706572 0.023206515 0.016400758 0.005913199 0.005913199 0.0030123843 0.0039049427 0.0027892448 0.002119826 0.003681803 0.0040165125 0.004797501 0.0023429655 0.0022313958 0.0023429655 0.001561977 0.0008925583 0.0033470937 0.029454423 0.0032355238 0.03079326 0.011268549 0.009037153 0.0069173267 0.0064710476 0.012161107 0.01539663 0.0026776749 0.0007809885 0.0078098853 0.007475176 0.006136338 0.012272676 0.0070288964 0.0014504072 0.0094834315 0.019747851 0.011491688 0.01015285 0.007698315 0.009929711 0.0013388374 0.0010041281 0.0030123843 0.0011156979 0.0033470937 0.0033470937 0.004797501 0.0071404665 0.0012272677 0.03135111 0.0091487225 0.028004017 0.022313958 0.0645989 0.012495816 0.008590873 0.0094834315 0.03838001 0.0022313958 0.0050206403 0.0321321 0.017293317 0.03135111 0.04630146 0.0103759905 0.0014504072 0.048979137 0.034586634 0.063706346 0.018632155 0.0044627916 0.006359478 0.0066941874 0.007363606 0.0016735469 0.0006694187 0.001561977 0.00055784895 0.0006694187 0.0013388374 5.7231255 0.0 29.0 0.0 2.0 181432.0 192512.0 0.0 5.0 98.0 1.0 1.0 1.0 0.0 0.0 1482396900.0 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 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 2.0 5.0 2.0 46592.0 1024.0 4096.0 7.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81408.0 0.0 0.0 2048.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44544.0 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 -5.439707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2025695 0.0 0.0 5.5813365 0.0 4.804356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9931936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4803057 0.0 4.285261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80938.0 0.0 0.0 1538.0 0.0 2328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44427.0 0.0 1232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 191.0 131280.0 80.0 131472.0 1232.0 180224.0 2328.0 176128.0 12472.0 168960.0 6172.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 129008.0 0.0 0.0 808.0 53248.0 0.0 0.0 0.0 0.0