Input: 0.13114722 0.012336044 0.006332225 0.005437658 0.010015568 0.003564877 0.003424367 0.0039023485 0.010043381 0.0024348213 0.00232913 0.0021844993 0.006696274 0.0028003126 0.0018185962 0.008384249 0.00767387 0.001964463 0.0015835199 0.0016362626 0.00476972 0.00206521 0.0016150419 0.0014086034 0.0036625336 0.0017578183 0.0015128527 0.0013634835 0.0028439902 0.0011391207 0.0012198831 0.0015410784 0.012388375 0.0013947996 0.00197394 0.0017497833 0.008875417 0.0017522556 0.0012116419 0.0013175396 0.0025403071 0.0014650546 0.0012476966 0.0022226141 0.0024649014 0.0019444784 0.002509197 0.0013882067 0.004521046 0.002672164 0.0031237742 0.0061115706 0.003293128 0.002391968 0.0023707473 0.002337165 0.0032772638 0.0030271476 0.0028602662 0.004560191 0.0029163053 0.002375898 0.0019825932 0.0027277912 0.005568279 0.0031316031 0.0021463842 0.002663717 0.0046850434 0.009780903 0.004320788 0.002640642 0.0025996426 0.0017240299 0.0011916574 0.0013867646 0.0025578192 0.006626431 0.0024136007 0.0017755366 0.008415566 0.0032133956 0.002074893 0.004117852 0.0026459987 0.004443992 0.0058760825 0.004123827 0.0018849367 0.0041256812 0.0011005937 0.0024966295 0.0030936943 0.004706676 0.0039635384 0.004303276 0.0018628918 0.006041728 0.0025811002 0.0041186763 0.0056597544 0.010308949 0.0032304958 0.0022502218 0.0059290314 0.007170135 0.0069544255 0.0019438602 0.0057625617 0.0031522058 0.0069626663 0.006289784 0.0041271234 0.0011609595 0.007744949 0.006268975 0.015321781 0.011039519 0.0027863027 0.0031866122 0.0027156356 0.0024883884 0.0020485218 0.0012359531 0.0024424444 0.003543656 0.001925936 0.0014353868 0.004014427 0.0028170007 0.0018847306 0.013400377 0.0043760035 0.008543714 0.0016451218 0.0022001571 0.0030182886 0.012163394 0.0022413626 0.03310228 0.0016603677 0.012289482 0.0012075214 0.001173115 0.0016793222 0.001134382 0.00093103386 0.0013601871 0.0017607027 0.0014300301 0.0010303387 0.0010995636 0.0015322192 0.0015243902 0.0012750982 0.00091764214 0.0016426494 0.0011113071 0.00096770655 0.0010505292 0.0018812282 0.0018148876 0.0008716982 0.0013072382 0.0015365458 0.0013832621 0.0010043792 0.0009052805 0.0017260902 0.0010185952 0.00092011446 0.0010513533 0.0014116938 0.001033223 0.0009157879 0.00096585235 0.0021325806 0.001009942 0.0010804031 0.001172085 0.00158455 0.0013717246 0.0018830824 0.0012882838 0.005553857 0.0017056935 0.001281485 0.0010987394 0.0017378337 0.0012518171 0.0015280987 0.0012376013 0.0075156414 0.0038889567 0.002912803 0.0049001346 0.0058206613 0.0011325278 0.0036081425 0.004790735 0.0031015233 0.0022467193 0.0012992033 0.0014314723 0.008569879 0.00097532955 0.0021552434 0.0017069298 0.004271754 0.0021803787 0.0014640244 0.001079991 0.0016057707 0.00097532955 0.0016570713 0.0014561955 0.0025258851 0.0012627365 0.0009390689 0.0016129817 0.0016117455 0.0009147578 0.0009491642 0.00089992385 0.0046899877 0.0011374725 0.0009485461 0.002127636 0.0021474145 0.0024863281 0.0013268108 0.0011947479 0.017423663 0.003743914 0.0012845753 0.0042276643 0.005570957 0.0013898549 0.0012579979 0.0012769524 0.0046819528 0.0017810992 0.0013931514 0.0015346915 0.002587693 0.0009928418 0.0023666266 0.0017116683 0.0038005712 0.0021649266 0.0016278155 0.0019115141 0.005554063 0.0036147353 0.003651202 0.040984444 0.0031622858 2.0611282e-07 4.1222563e-07 3.0916922e-07 1.0305641e-07 0.0 0.0 8.2445126e-07 0.0 2.0611282e-07 0.0 1.0305641e-07 0.0 0.0 2.0611282e-07 1.2366769e-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 0.00038862572 4.1222563e-07 4.2253128e-06 9.275076e-06 1.4427897e-06 2.9886357e-06 4.843651e-06 4.328369e-06 9.2750764e-07 9.2750764e-07 3.0916922e-07 5.15282e-07 1.0305641e-07 2.0611282e-07 7.213948e-07 2.267241e-06 0.0002451712 1.8550153e-06 1.4427897e-06 1.5458461e-06 1.4427897e-06 1.5458461e-06 1.4427897e-06 1.6489025e-06 1.2366769e-06 1.2366769e-06 1.1336205e-06 1.2366769e-06 1.1336205e-06 1.2366769e-06 1.1336205e-06 0.0001576763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009943913 3.78217e-05 2.751606e-05 6.904779e-06 4.390203e-05 1.7313476e-05 4.0191997e-05 2.6485497e-05 2.8855793e-05 5.8742153e-06 5.8742153e-06 4.328369e-06 4.0192e-06 6.2864406e-06 8.347569e-06 8.244512e-06 0.0050367787 0.00023352582 0.00060854806 0.00010728172 0.00025424015 0.00021497566 0.0017925631 0.0009795511 6.842945e-05 6.399803e-05 6.276135e-05 5.8742153e-05 6.2143015e-05 5.8123813e-05 5.9257432e-05 0.00046993722 0.019114181 0.00056516135 0.0031110668 0.0006154529 0.00083455077 0.00081445475 0.008331801 0.0049263025 0.0008594904 0.0005009572 0.00036914804 0.0011607243 0.00039377852 0.0015198758 0.00022816689 0.002243744 0.018910438 0.00075189956 0.0047666677 0.0015335823 0.00112012 0.002144913 0.015317377 0.00842311 0.0022272551 0.001041385 0.0011051769 0.0029428788 0.00048797208 0.0010588015 0.0026978105 0.0017433022 0.011371759 0.0007193337 0.002994407 0.0010719927 0.0019014938 0.0015490408 0.009354327 0.0048352005 0.0019693049 0.00081620674 0.00093080546 0.0014171286 0.00028031343 0.0006515226 0.0017779291 0.0007821981 0.011322601 0.00091380114 0.0034755773 0.0025702268 0.0036343872 0.0021993266 0.010082523 0.0049965866 0.0014717486 0.0014185715 0.00079229765 0.00083300495 0.000328853 0.0006129795 0.0015273989 0.0004642691 0.0075626913 0.0014824664 0.0024442917 0.01617934 0.0020821516 0.00195127 0.0044270973 0.0029444245 0.0019218989 0.0014954515 0.0014850429 0.0016529217 0.0012401808 0.0012465703 0.001934987 0.0014477364 0.00910998 0.0013474625 0.0019753852 0.001616955 0.0017245458 0.00171558 0.0021494476 0.0016850753 0.003235765 0.0007068639 0.0006420414 0.0010987874 0.0015707858 0.00077415974 0.0013920859 0.0026024834 0.06636534 0.012629665 0.009687508 0.009925465 0.018579833 0.021575477 0.010255452 0.016563844 0.046585 0.0036529372 0.0035512208 0.0053255428 0.023386281 0.0059136855 0.017488878 0.033916995 0.05106074 0.0119381575 0.0100720115 0.009458517 0.017849885 0.021265483 0.011079285 0.016789537 0.04014964 0.003606665 0.0037082788 0.0054426147 0.021086887 0.006584583 0.01796304 0.029487941 0.007908137 0.00714995 0.007293714 0.0074723107 0.0072048795 0.007158401 0.007411611 0.0073220544 0.007260015 0.0071394388 0.0071004834 0.0069896975 0.0072360025 0.006988976 0.007173138 0.0070628677 28065.0 20.50896 575584.0 0.06626313 0.0018277089 0.0049619167 0.0015949019 0.007269139 0.0052173096 0.0015688414 0.0027155029 0.0034399845 0.0019545367 0.0010406822 0.0011814088 0.004915008 0.007943237 0.012012147 0.0024896453 0.0094304215 0.008740688 0.010257408 0.008000569 0.009395675 0.0073664314 0.0066992827 0.0063518095 0.007316048 0.0069633625 0.009308807 0.0051356535 0.0060477704 0.005262481 0.0045293127 0.007455037 0.014091775 0.0075870766 0.004023739 0.0055300356 0.0071874824 0.0063031632 0.0035129539 0.0021908183 0.004400748 0.004838564 0.0007574915 0.0012717518 0.004145355 0.0027172402 0.003466045 0.002696392 0.007971034 0.0020257686 0.004254809 0.008021418 0.007929338 0.0034208733 0.005761105 0.003224551 0.002811058 0.0014941347 0.000978137 0.0016174876 0.011192111 0.0023993023 0.0016939318 0.011768917 0.0017894869 0.041424014 0.013323859 0.02629677 0.026904847 0.07181054 0.009882137 0.0104433065 0.010901971 0.041219007 0.0050175125 0.0049011093 0.02674501 0.014017068 0.04407697 0.04467984 0.019112762 0.0020414048 0.04794956 0.035376243 0.051347848 0.018829571 0.0069633625 0.0052451077 0.005186037 0.0076009757 0.00417489 0.001586215 0.0019128398 0.0016921944 0.0009381776 0.0006688859 5.7229395 0.0 109.0 0.0 17.0 4853744.0 5230592.0 1.0 0.0 401.0 1.0 1.0 1.0 1.0 0.0 1527793200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 0.0 6.0 0.0 2783744.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1036288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2783744.0 0.0 690688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6178555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.951271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4234147 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.700677 0.0 7.910611 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1035868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -562676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2783404.0 0.0 690340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 2.0 -1.0 1.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 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 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 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 -1.0 0.0 0.0 -2.0 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 -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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -3.0 0.0 0.0 0.0 2.0 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 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 1.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 2.0 1.0 0.0 -1.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -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 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 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 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 -1.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 -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 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 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 3.0 0.0 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 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3815836.0 690340.0 4390912.0 0.0 0.0 10224.0 4843520.0 147380.0 5083136.0 84.0 3600896.0 0.0 0.0 0.0 0.0 24.0 3601144.0 64.0 3600984.0 0.0 0.0 1736.0 2789376.0 0.0 0.0 0.0 0.0


Input: 0.4028033 0.026539521 0.011029412 0.00792739 0.014820772 0.007467831 0.013442095 0.0024126838 0.0051700366 0.0012637868 0.0075827204 0.0014935662 0.0017233456 0.0024126838 0.0024126838 0.00045955883 0.0037913602 0.0032169118 0.0045955884 0.0016084559 0.0014935662 0.0022977942 0.0016084559 0.0010340074 0.0016084559 0.00068933825 0.00045955883 0.00057444855 0.0011488971 0.00022977941 0.00091911765 0.00057444855 0.013097427 0.0011488971 0.005514706 0.0012637868 0.00068933825 0.00045955883 0.0010340074 0.00022977941 0.0025275736 0.00068933825 0.0021829044 0.0013786765 0.0016084559 0.0017233456 0.013327206 0.00080422795 0.0067784926 0.0036764706 0.0016084559 0.0013786765 0.0021829044 0.0016084559 0.0010340074 0.00091911765 0.00080422795 0.0017233456 0.00091911765 0.00022977941 0.001953125 0.0020680148 0.0022977942 0.00045955883 0.0014935662 0.0052849264 0.0011488971 0.004710478 0.003102022 0.00390625 0.002757353 0.0012637868 0.0012637868 0.0035615808 0.00022977941 0.00057444855 0.0018382353 0.0017233456 0.001953125 0.0010340074 0.00390625 0.00034466913 0.0036764706 0.006663603 0.0028722426 0.0011488971 0.0022977942 0.00068933825 0.00022977941 0.00091911765 0.00045955883 0.000114889706 0.0012637868 0.00068933825 0.000114889706 0.0028722426 0.0010340074 0.013097427 0.0075827204 0.009306066 0.0065487134 0.038947612 0.0024126838 0.005399816 0.0020680148 0.020335479 0.00068933825 0.0012637868 0.012408088 0.012867647 0.016314339 0.021369485 0.0060891546 0.00080422795 0.022288604 0.026194854 0.02711397 0.013097427 0.0020680148 0.0013786765 0.0034466912 0.0078125 0.00068933825 0.00057444855 0.0 0.00045955883 0.0010340074 0.000114889706 0.0029871324 0.00091911765 0.0 0.00068933825 0.000114889706 0.00034466913 0.00057444855 0.0 0.000114889706 0.00045955883 0.0 0.00045955883 0.00022977941 0.00022977941 0.000114889706 0.0 0.00034466913 0.00080422795 0.00022977941 0.00068933825 0.00022977941 0.000114889706 0.00022977941 0.0 0.000114889706 0.00034466913 0.0 0.00022977941 0.00057444855 0.0 0.0 0.00057444855 0.00068933825 0.00034466913 0.00022977941 0.00034466913 0.0 0.000114889706 0.00034466913 0.00022977941 0.0 0.00045955883 0.00022977941 0.00057444855 0.00034466913 0.00022977941 0.000114889706 0.0 0.00022977941 0.00045955883 0.0 0.000114889706 0.00068933825 0.000114889706 0.00022977941 0.00022977941 0.00068933825 0.000114889706 0.000114889706 0.00034466913 0.000114889706 0.00022977941 0.00045955883 0.00045955883 0.000114889706 0.00034466913 0.00022977941 0.00022977941 0.00034466913 0.00022977941 0.0 0.00045955883 0.00022977941 0.00057444855 0.00022977941 0.0 0.0 0.00068933825 0.00022977941 0.00057444855 0.00022977941 0.000114889706 0.0 0.00022977941 0.0 0.00034466913 0.0 0.00091911765 0.000114889706 0.00022977941 0.0 0.0 0.00022977941 0.00022977941 0.00022977941 0.0 0.00045955883 0.000114889706 0.000114889706 0.0037913602 0.00022977941 0.0 0.00022977941 0.0 0.0 0.00034466913 0.000114889706 0.0 0.00022977941 0.0 0.00045955883 0.00057444855 0.00045955883 0.0 0.0 0.000114889706 0.000114889706 0.000114889706 0.0013786765 0.000114889706 0.000114889706 0.0 0.000114889706 0.0 0.0 0.00034466913 0.0010340074 0.00045955883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18743025 0.00718471 0.01764788 0.008928572 0.0063476562 0.0039760047 0.026506696 0.016950335 0.0020926339 0.0013253348 0.00069754466 0.0010463169 0.0012555803 0.0011160715 0.0011160715 0.0020926339 0.084821425 0.00069754466 0.00516183 0.005998884 0.004813058 0.0053710938 0.02155413 0.011858259 0.0004185268 0.0004185268 0.0002092634 0.00069754466 0.00027901787 0.0 0.00027901787 0.00027901787 0.084472656 0.0050223214 0.0061383927 0.004673549 0.004813058 0.0043247766 0.011300223 0.00655692 0.0027204242 0.001813616 0.0017438616 0.0011160715 0.0016043527 0.0013253348 0.0034179688 0.001813616 0.06626674 0.007952009 0.0077427453 0.0037667411 0.018275669 0.0115094865 0.09423828 0.064801894 0.002232143 0.0011160715 0.0016741072 0.0011858259 0.0011858259 0.00062779017 0.0027204242 0.0004185268 0.046177454 0.0062779016 0.008091518 0.006626674 0.0060686385 0.0078125 0.033761162 0.023507254 0.000906808 0.0004185268 0.00062779017 0.0010463169 0.0008370536 0.00013950893 0.00034877233 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 146.0 19.671232 2872.0 0.02402507 0.0003481894 0.0076601673 0.0020891365 0.0003481894 0.0 0.0 0.0003481894 0.0 0.0 0.0 0.0 0.0031337047 0.0038300836 0.029247912 0.0020891365 0.010097493 0.008356546 0.0038300836 0.002437326 0.004178273 0.0020891365 0.0006963788 0.0017409471 0.0017409471 0.0034818943 0.002437326 0.0 0.004874652 0.0062674093 0.004874652 0.0006963788 0.0003481894 0.013927577 0.0020891365 0.01183844 0.008008356 0.008704735 0.005222841 0.0034818943 0.0017409471 0.005222841 0.0 0.0010445683 0.0031337047 0.0038300836 0.002437326 0.0006963788 0.005222841 0.0 0.010097493 0.016713092 0.0062674093 0.0010445683 0.0034818943 0.0013927576 0.0 0.0 0.0 0.0 0.0031337047 0.0 0.0 0.007311978 0.0017409471 0.034122564 0.021935932 0.025766017 0.017061282 0.10689415 0.00591922 0.014275766 0.0034818943 0.0525766 0.0010445683 0.0027855153 0.033077996 0.03481894 0.04317549 0.05501393 0.012534819 0.0017409471 0.05814763 0.06615599 0.07625348 0.036559887 0.0062674093 0.0031337047 0.0076601673 0.01880223 0.0017409471 0.0 0.0 0.0 0.0 0.0 5.141658 0.0 0.0 0.0 1.0 8704.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1515557600.0 0.0 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 6144.0 512.0 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 -6144.0 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 -5.4974093 0.0 4.2256026 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 -5652.0 0.0 1436.0 0.0 0.0 0.0 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 13756.0 1436.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 13444.0 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: 0.23103033 0.0066077216 0.0052252132 0.004676536 0.007616579 0.003122935 0.0036893112 0.0034788868 0.008792596 0.00284958 0.0036873447 0.0025840912 0.0062694694 0.003567383 0.002475929 0.0042655203 0.005707026 0.0025781915 0.0023107359 0.0026450553 0.004399248 0.003766008 0.0023736667 0.002357934 0.0037266763 0.0027492843 0.0017777918 0.002381533 0.0028181146 0.0023048362 0.002995107 0.0025585254 0.0039626663 0.002243872 0.0022183065 0.0019508512 0.0025840912 0.0020590133 0.0019980492 0.0019154527 0.0025958905 0.0021022782 0.0019508512 0.0025762247 0.0023874328 0.0022596049 0.0023736667 0.002192741 0.0040649287 0.0026450553 0.0027945156 0.0044582454 0.0024975615 0.002395299 0.0024503635 0.002570325 0.0031603002 0.0032310972 0.0023559674 0.0034710204 0.0029184103 0.0024444638 0.0025821244 0.0031190019 0.004342217 0.00513475 0.0037502754 0.004318618 0.0023599006 0.0066922847 0.0032881282 0.0026116234 0.0031386677 0.0018820207 0.0020295144 0.002017715 0.0024326642 0.0043304176 0.002570325 0.002971508 0.0059449826 0.0030698373 0.0016932286 0.0036637457 0.002381533 0.0038899027 0.004536909 0.0037955067 0.0024306977 0.002971508 0.0019095528 0.0024680626 0.0023599006 0.0041180267 0.0034395552 0.0041376925 0.0022714043 0.003813206 0.0022596049 0.0031838992 0.002953809 0.0045703407 0.0029400429 0.0022045404 0.0033294263 0.003250763 0.0047925645 0.0018131903 0.002859413 0.0024955948 0.0030403386 0.0031858657 0.0037443757 0.0023913658 0.0038486046 0.004237988 0.007830936 0.007783739 0.0025880244 0.0023933325 0.0028554797 0.0023697335 0.0019724835 0.0021239105 0.0028299142 0.0034434882 0.0026725873 0.0023087694 0.003297961 0.0022812372 0.0020196815 0.005964649 0.003378591 0.0048731947 0.0019744502 0.0021239105 0.0020767124 0.006767015 0.0019508512 0.017089613 0.0021278437 0.0069617066 0.0017935245 0.0021042447 0.0019587174 0.0015555678 0.0015182027 0.0018761209 0.0019882163 0.0019075862 0.0017935245 0.0018033574 0.0018918536 0.0016086656 0.0015221359 0.0016991284 0.0019292188 0.0015201693 0.0019547844 0.0020550801 0.0021435763 0.0021298102 0.0015870332 0.0019449514 0.0017797584 0.0017738586 0.0016027658 0.0019036531 0.0019351185 0.0016243983 0.0015811333 0.0017109279 0.0025408263 0.0016676631 0.0019252856 0.0019370851 0.0027984488 0.002145543 0.0015319688 0.0016755294 0.001960684 0.0018741543 0.0016401309 0.0018957868 0.0026824204 0.0017266605 0.0018525219 0.0017797584 0.0019862496 0.001734527 0.00198035 0.0019862496 0.0058997516 0.0027846827 0.0034887197 0.0037148767 0.0030895032 0.0017895913 0.0029557755 0.0030029735 0.002348101 0.002007882 0.0019685505 0.0021809414 0.0028908781 0.0018780875 0.0022143733 0.0024719958 0.002306803 0.001866288 0.0018544885 0.0017266605 0.0016578302 0.0014277399 0.001573267 0.0019351185 0.0022930368 0.0016243983 0.0017758252 0.0021750417 0.002267471 0.00181909 0.0018387559 0.0019665838 0.0029774078 0.0024818287 0.0019370851 0.0020354143 0.0023795664 0.0024955948 0.0017699255 0.0018407224 0.008271451 0.002249772 0.0015123029 0.0036027816 0.003972499 0.0015083698 0.0018230232 0.0017738586 0.004863362 0.0029262768 0.0030501715 0.0021062111 0.0024385639 0.0030010068 0.0026942198 0.0036224474 0.0039528334 0.0032074982 0.0030796702 0.0027532172 0.0049636574 0.0024562632 0.0033235266 0.034769204 0.041512784 0.00015782828 3.7484217e-05 1.0850695e-05 0.00030480587 3.9457072e-06 1.5782829e-05 0.00020024463 9.864268e-06 1.5782829e-05 1.7755681e-05 1.7755681e-05 2.0714962e-05 5.9185608e-05 1.9728535e-05 1.9728535e-05 0.073745266 0.00064709596 0.00010258838 9.173769e-05 0.0007703993 2.761995e-05 0.00021504103 0.000517874 4.1429925e-05 3.1565658e-05 3.7484217e-05 3.4524935e-05 8.9764835e-05 0.00022589172 0.00010653409 8.285985e-05 0.014980864 0.00030677873 3.649779e-05 3.5511363e-05 0.0002614031 3.4524935e-05 3.057923e-05 3.2552085e-05 5.3267046e-05 2.3674242e-05 3.945707e-05 3.057923e-05 2.0714962e-05 0.00011639836 0.00013514046 2.3674242e-05 0.008563171 0.00033045295 7.299558e-05 3.8470644e-05 0.00013119476 3.2552085e-05 0.00047052556 0.00022194603 6.9049875e-06 6.9049875e-06 6.9049875e-06 5.9185604e-06 6.9049875e-06 0.00012330334 7.8914145e-06 7.496843e-05 0.009982639 6.609059e-05 0.00012034406 0.00011146622 0.00020320392 9.765625e-05 0.00066879735 0.00046263414 4.0443498e-05 4.1429925e-05 4.0443498e-05 4.7348483e-05 4.0443498e-05 4.5375633e-05 5.4253473e-05 9.8642675e-05 0.004671717 0.00031171087 0.00020813604 0.00014204545 9.56834e-05 5.3267046e-05 0.00027422665 0.00027422665 7.496843e-05 6.411774e-05 1.2823548e-05 8.9764835e-05 1.4796402e-05 7.8914145e-06 3.7484217e-05 0.0017479482 0.01238952 0.00025647096 0.00015289614 0.00027422665 0.00022589172 0.00023279672 0.0013701468 0.0012833412 0.00023970171 0.0002544981 0.00011343908 0.00021898674 0.00012428977 7.398201e-05 0.00015782828 0.00081380206 0.0066120187 0.00050011836 0.0003649779 0.00020221749 0.00012133049 0.000118371216 0.00017361112 0.00028902304 0.00028310448 0.0004310685 0.00018544823 0.00025351168 0.00023279672 7.694129e-05 4.5375633e-05 0.004251499 0.0045582782 8.779198e-05 0.00034623579 0.00031565657 0.00026337596 0.00019333964 0.000707268 0.0009242819 0.00045474275 0.00032749368 0.00028113162 0.00038076073 0.00025548454 8.680556e-05 0.00010061553 0.004858152 0.0068675033 0.00063821813 0.00063624524 0.00054253475 0.0011748343 0.0010022096 0.0034801136 0.002008365 0.00014204545 0.000103574814 0.00025745737 0.00017952967 0.00020221749 9.8642675e-05 5.228062e-05 0.0007960464 0.016798848 0.0023398043 0.002676176 0.002251026 0.0040137707 0.0024838226 0.0063762628 0.004144965 0.00045967486 0.00035116792 0.0007861821 0.00042514995 0.00059481536 0.00021109534 0.00028113162 0.0042909565 0.010328875 0.0016798847 0.001696654 0.006375276 0.0019018308 0.0016325363 0.0026337595 0.0016285906 0.0007437658 0.0005701547 0.0006392045 0.00059580174 0.00062342174 0.000517874 0.00052576547 0.0022500395 0.006894137 0.001393821 0.00095387467 0.0015388258 0.0015644728 0.001440183 0.00064019096 0.0012626263 0.002181976 0.00039752998 0.00043698706 0.0005632497 0.0007723722 0.00027817235 0.0007368608 0.0031871449 0.029542495 0.0073222457 0.0034179688 0.0052921795 0.009732086 0.011740452 0.0042475536 0.00844184 0.019471077 0.0015654593 0.0023033065 0.0025607639 0.008373776 0.0025291983 0.007156526 0.01771721 0.022731218 0.0053079627 0.003021425 0.004393545 0.009700521 0.010641572 0.0043925582 0.007880564 0.016930042 0.001359296 0.0020142836 0.0021533696 0.007413984 0.0023703836 0.00740116 0.015520439 0.029758522 0.026092961 0.023494713 0.02554648 0.023436513 0.023111979 0.023207663 0.025829585 0.025675703 0.023000512 0.022600023 0.023670297 0.02589962 0.023254024 0.02577829 0.027622908 1995.0 11.619549 23181.0 0.020965446 0.0026746043 0.004270739 0.0024157716 0.009835641 0.0018118287 0.0020275225 0.0022432164 0.005090376 0.0032785472 0.0036236574 0.002545188 0.0034079633 0.007290453 0.008239507 0.007204176 0.017341789 0.008670894 0.009447392 0.0084552 0.007851258 0.005435486 0.0063414 0.006384539 0.0084552 0.008541478 0.008627756 0.005090376 0.008023812 0.0075061475 0.007290453 0.013588715 0.03032656 0.010094474 0.0034511022 0.009447392 0.007031621 0.007937535 0.005090376 0.005392347 0.004874682 0.0061257062 0.0031491308 0.003709935 0.004831543 0.004270739 0.0066433717 0.005392347 0.008886588 0.0047452655 0.0046158493 0.009404253 0.009663086 0.006427678 0.0065570944 0.008886588 0.0057805963 0.002502049 0.0056943186 0.0031922695 0.0038393512 0.002156939 0.0028040204 0.023812605 0.003494241 0.03636599 0.014020103 0.027134292 0.026271515 0.052845 0.009404253 0.00953367 0.010439584 0.034036495 0.004313878 0.0058668735 0.022302749 0.01798887 0.02575385 0.028299037 0.019973254 0.0047021266 0.035158105 0.042836808 0.051680256 0.015529959 0.008714033 0.007937535 0.008843449 0.007980674 0.004443294 0.0013373022 0.0032354083 0.0037530737 0.0026746043 0.0024157716 6.0434685 2.0 3.0 0.0 4.0 508496.0 532480.0 1.0 36.0 248.0 1.0 1.0 1.0 1.0 0.0 1487110300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 6.0 1.0 119808.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -120320.0 0.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.633653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.530051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2484317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.409518 0.0 7.458937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -6408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -119887.0 0.0 282312.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -2.0 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 -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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 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 0.0 0.0 0.0 -1.0 -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 -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 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1284.0 211392.0 260.0 212676.0 282312.0 241664.0 0.0 0.0 2128.0 506368.0 6408.0 524288.0 84.0 208352.0 0.0 0.0 0.0 0.0 24.0 208436.0 64.0 208144.0 0.0 0.0 1040.0 126976.0 64.0 211068.0 0.0 0.0


Input: 0.056676786 0.0082955025 0.0061716633 0.0056507997 0.0057512447 0.0049652895 0.0041959025 0.00541988 0.00504606 0.005631125 0.003741312 0.00446203 0.0049487213 0.003176957 0.004331555 0.0046401382 0.005047095 0.0037661644 0.0049290466 0.004157589 0.0043564076 0.003176957 0.0041089193 0.0038490056 0.005070912 0.0033478166 0.0031572822 0.0029305045 0.004152411 0.0034461906 0.00378791 0.0037899811 0.0061675212 0.0038189755 0.0034865756 0.0030288785 0.0048824484 0.004162766 0.0038355438 0.0037226728 0.004730228 0.0038935326 0.003332284 0.0030972224 0.004363656 0.0037081756 0.0037278503 0.0035953047 0.005518254 0.0039556636 0.003108613 0.0029004747 0.0036802166 0.0030754765 0.0026871588 0.0028559475 0.004174157 0.0033105381 0.0035279961 0.0033478166 0.0039960486 0.003227697 0.0035052148 0.0034555101 0.006599331 0.0039556636 0.0036222278 0.003225626 0.004154482 0.0032204485 0.0035528485 0.003068228 0.0050046393 0.003775484 0.003705069 0.003583914 0.004131701 0.0031303589 0.003549742 0.003466901 0.0051682503 0.003632583 0.0036512222 0.0033447102 0.0039214916 0.003380953 0.0033561008 0.0035331738 0.0046484224 0.0036460448 0.003803443 0.00351557 0.0041027064 0.003394415 0.0036885007 0.0037920522 0.0059117493 0.003630512 0.0033447102 0.0029522504 0.0040084748 0.0030537308 0.003257727 0.0030309495 0.0049590766 0.0031697084 0.0032080223 0.0030578729 0.0035849495 0.0028383438 0.0030920447 0.003189383 0.004506557 0.0032753306 0.003227697 0.0031417494 0.0038904261 0.0033488523 0.0032887924 0.0036356896 0.0046204636 0.00329397 0.003477256 0.0031748859 0.004035398 0.0031987028 0.0034741494 0.0033395325 0.0086424 0.0045966464 0.0040095104 0.0035352448 0.0043802243 0.0034327288 0.0030195587 0.003396486 0.004536587 0.0038262242 0.0029553568 0.0031945608 0.003728886 0.0027989943 0.0028518054 0.0029916 0.0052376296 0.0031966318 0.0034917532 0.0030309495 0.003662613 0.003185241 0.0033074317 0.0032649755 0.0045438353 0.002842486 0.0030392336 0.0027109757 0.0035166056 0.0032308036 0.002987458 0.0031500335 0.0050036036 0.003406841 0.0032763663 0.0027948522 0.003783768 0.0030205944 0.003066157 0.0031924897 0.0041368785 0.0030009195 0.0031210391 0.0030133456 0.0036377606 0.002842486 0.002914972 0.003040269 0.004666026 0.0031220748 0.0038407214 0.0028600895 0.0035611326 0.0031479625 0.0029967774 0.0031272522 0.004252856 0.0031521046 0.003334355 0.0031759215 0.0036532932 0.0031842056 0.003324 0.0033612784 0.0067111664 0.0040581794 0.0037195662 0.0033333194 0.0041130614 0.0032525493 0.0033032896 0.003231839 0.0043346616 0.0033271064 0.0031179327 0.0030785832 0.0036439737 0.0029926354 0.00307237 0.002797959 0.0042559626 0.0032794727 0.0030889383 0.002999884 0.003713353 0.0030143813 0.0029284335 0.0029439663 0.0039794804 0.0031075776 0.0027285793 0.0026405607 0.0035342092 0.0029460373 0.0035745944 0.0028807998 0.004949757 0.0032401232 0.0033871662 0.0029760671 0.003811727 0.00307237 0.0031955962 0.0029004747 0.0044413195 0.005456123 0.003473114 0.0031396784 0.0037910168 0.0030692634 0.0032421942 0.0031800636 0.0046080374 0.0033136448 0.0034306578 0.0030413046 0.0037475252 0.0030858316 0.0033074317 0.0032401232 0.0043491586 0.003031985 0.003189383 0.0028590541 0.004011581 0.0031034355 0.004222826 0.004514841 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09914546 0.062018976 0.062430542 0.05532092 0.060618408 0.059569795 0.05495652 0.054501414 0.060488302 0.053188965 0.052167304 0.05297437 0.056417737 0.050538145 0.056628704 0.053832747 4025.0 5.7031054 22955.0 0.017164016 0.010455239 0.009366151 0.008625572 0.013417556 0.012546286 0.011762143 0.011500763 0.012676977 0.009714659 0.008494881 0.008625572 0.013853191 0.010542366 0.01184927 0.0098889135 0.016859071 0.011892834 0.008669135 0.007492921 0.009801786 0.0085384445 0.007841429 0.00836419 0.010237421 0.008451317 0.009540405 0.008799826 0.011500763 0.00897408 0.009671096 0.00923546 0.018165978 0.010890873 0.010498802 0.009191897 0.010803746 0.00897408 0.01071662 0.008277064 0.014201699 0.011587889 0.009758223 0.00897408 0.011413636 0.009366151 0.0116314525 0.009583969 0.014768024 0.009627532 0.009932477 0.009061207 0.0121106515 0.009366151 0.009540405 0.009801786 0.013722501 0.009191897 0.010542366 0.009583969 0.011108691 0.009801786 0.010455239 0.010673056 0.01794816 0.010978 0.009671096 0.008146374 0.013112612 0.008277064 0.009366151 0.008320628 0.015421477 0.009279024 0.008886953 0.008712699 0.011413636 0.008015683 0.009932477 0.007884992 0.013156175 0.007972119 0.008669135 0.008799826 0.011457199 0.0094097145 0.008146374 0.007884992 0.010890873 0.008886953 0.011892834 0.008625572 0.0112393815 0.009148334 0.010063167 0.008712699 6.55445 0.0 0.0 0.0 14.0 965704.0 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: 0.056628704 0.008290534 0.0061664274 0.005654283 0.005749469 0.0049538347 0.004206828 0.0054204552 0.0050552287 0.0056294515 0.0037546922 0.004465487 0.004957973 0.0031711578 0.0043185684 0.004643444 0.0050335014 0.0037722809 0.0049341763 0.0041623386 0.004353746 0.0031742617 0.0041033644 0.003854017 0.005063506 0.0033522188 0.0031628807 0.0029383646 0.004151992 0.0034360243 0.0037878004 0.0037888351 0.006168497 0.0038271165 0.0034887907 0.0030273434 0.0048969295 0.0041540614 0.0038364283 0.003726757 0.0047189724 0.003899541 0.003337734 0.0031008024 0.0043682307 0.0037164106 0.0037226183 0.0035839772 0.0055104685 0.003945065 0.0031090796 0.0029083602 0.003678129 0.003070798 0.0026859136 0.002863871 0.004169581 0.003314972 0.0035239684 0.0033584267 0.0040040393 0.003218751 0.0035074141 0.0034567171 0.006595801 0.0039460994 0.0036253626 0.003218751 0.004165442 0.0032166815 0.0035374186 0.003065625 0.0049972893 0.0037722809 0.003700891 0.003587081 0.0041261264 0.0031308068 0.003559146 0.0034649943 0.0051700734 0.0036284665 0.0036491593 0.0033439419 0.003936788 0.0033863618 0.0033635998 0.00353328 0.0046455134 0.003641917 0.0038074586 0.0035115527 0.004112676 0.003383258 0.003692614 0.0037867657 0.0059067337 0.0036263973 0.0033418725 0.0029497456 0.003995762 0.0030532093 0.0032622055 0.003031482 0.0049786656 0.003161846 0.0031990928 0.0030532093 0.0035767348 0.0028349012 0.0030749366 0.0031949542 0.004506872 0.0032880714 0.0032290972 0.0031452917 0.0038902294 0.0033356647 0.00329221 0.0036295012 0.004623786 0.0032911755 0.003487756 0.0031659845 0.004042321 0.0031949542 0.0034691326 0.003346011 0.008645413 0.004594816 0.0040123165 0.003525003 0.0043671965 0.0034329204 0.0030242393 0.0033811887 0.0045420495 0.0038333244 0.0029559536 0.0031887465 0.0037246877 0.0027986888 0.0028514552 0.0029807847 0.005226978 0.0032115085 0.0034929293 0.0030263087 0.0036677828 0.0031866771 0.0033077295 0.0032632402 0.0045461883 0.002841109 0.0030459668 0.0027035025 0.0035208645 0.0032394435 0.0029869925 0.0031483958 0.0050097047 0.0034101584 0.003275656 0.002795585 0.0037753847 0.0030066506 0.0030511399 0.003181504 0.004132334 0.003005616 0.0031235644 0.0030159624 0.00364709 0.002841109 0.0029218106 0.0030273434 0.004657929 0.0031235644 0.0038467746 0.0028535246 0.0035684577 0.0031494303 0.002994235 0.0031266683 0.0042533865 0.0031494303 0.0033304915 0.003181504 0.0036460552 0.0031939195 0.0033366994 0.0033418725 0.006718923 0.0040661176 0.003726757 0.0033439419 0.0041250917 0.003258067 0.0033087642 0.0032146124 0.0043185684 0.0033335953 0.0031121834 0.0030883867 0.0036615748 0.00297975 0.0030780404 0.0028028274 0.0042440747 0.0032797945 0.0030852829 0.0030014776 0.0037184798 0.0030190663 0.002929053 0.002945607 0.0039812773 0.0031132181 0.0027304029 0.002642459 0.00353328 0.002945607 0.0035757 0.0028783558 0.0049528 0.0032373744 0.003394639 0.0029838886 0.0038115971 0.0030739019 0.0032021967 0.002917672 0.00444169 0.0054535633 0.0034660287 0.0031297721 0.0037867657 0.0030863176 0.003254963 0.0031918504 0.004616543 0.0033222144 0.0034277472 0.0030459668 0.0037329646 0.0030914908 0.0033191105 0.003238409 0.004350642 0.0030335512 0.0031908157 0.0028680095 0.0040123165 0.0030997677 0.0042264857 0.0045110104 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4026.0 5.7031794 22961.0 0.017246636 0.010408955 0.009407256 0.008710422 0.013457602 0.012412352 0.011802622 0.011454205 0.012543008 0.009755673 0.008536214 0.008579765 0.013893123 0.010626715 0.011715517 0.010060538 0.01672401 0.011933278 0.008710422 0.007534515 0.009842777 0.008492662 0.00783938 0.008318453 0.010234746 0.008405557 0.009581464 0.00888463 0.011541309 0.008928183 0.009625017 0.009189495 0.017987022 0.010844476 0.010408955 0.009015286 0.010888028 0.008841079 0.010670267 0.008274901 0.0141979875 0.011628414 0.0097121205 0.008928183 0.011410653 0.009320152 0.011671966 0.009537912 0.014807718 0.009668568 0.010016985 0.009058839 0.012107487 0.00949436 0.009537912 0.009799224 0.013675363 0.009189495 0.0104960585 0.009537912 0.01114934 0.009799224 0.010452506 0.010670267 0.01794347 0.011018684 0.009668568 0.008187797 0.013065633 0.008231348 0.009407256 0.008362005 0.015417447 0.0092766 0.008928183 0.00866687 0.011323549 0.008013588 0.009886329 0.00783938 0.013152737 0.007970036 0.00866687 0.00888463 0.011541309 0.009407256 0.008362005 0.008013588 0.011062236 0.00888463 0.012020382 0.008449109 0.0113671 0.009015286 0.010016985 0.008753974 6.5546527 0.0 0.0 0.0 14.0 966524.0 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: 0.21022385 0.0073993388 0.0037560095 0.0026292067 0.0096905045 0.0028545673 0.0014272836 0.0010516827 0.008601262 0.0013521635 0.00390625 0.000788762 0.005784255 0.0013521635 0.00075120194 0.012469952 0.0041691707 0.0017653245 0.0016902044 0.0011268029 0.0019155649 0.002328726 0.000788762 0.00037560097 0.0016526442 0.00045072116 0.00060096156 0.0006385216 0.0015024039 0.0013521635 0.0013521635 0.0008638822 0.014460637 0.0016150841 0.0012019231 0.00041316106 0.0009765625 0.0036433293 0.00022536058 0.0021784855 0.0007136418 0.0007136418 0.000788762 0.00060096156 0.0009390024 0.0114933895 0.001539964 0.0008638822 0.0021784855 0.0037935697 0.0022536058 0.0044696513 0.001990685 0.0013521635 0.0008263221 0.0007136418 0.0016902044 0.0021784855 0.003079928 0.002328726 0.005108173 0.0020658053 0.0021409255 0.001539964 0.003493089 0.0030423678 0.0065354565 0.0032301683 0.0030423678 0.0154372 0.0022536058 0.0018404447 0.0044320915 0.0033052885 0.0009014423 0.00056340144 0.0017277644 0.015850361 0.0010141226 0.0011268029 0.011418269 0.009953425 0.0036433293 0.0033804087 0.003530649 0.013033354 0.0021409255 0.018442007 0.0033428485 0.0016902044 0.00067608175 0.00067608175 0.003155048 0.0052959737 0.0012770433 0.0047701322 0.0012019231 0.0073993388 0.001953125 0.022010216 0.0057466947 0.015812801 0.0096905045 0.0046950122 0.0062725362 0.00785006 0.0036433293 0.0013897235 0.0060471753 0.0049579325 0.007512019 0.0078125 0.0068359375 0.0009390024 0.009427584 0.0067983773 0.013108473 0.006234976 0.000788762 0.00075120194 0.0016150841 0.0017653245 0.00067608175 0.00060096156 0.0009765625 0.001577524 0.0009014423 0.00015024039 0.0017277644 0.0010141226 0.00045072116 0.013859675 0.0009390024 0.005784255 0.0002629207 0.00041316106 0.0012394831 0.014610877 0.0007136418 0.041466348 0.0009014423 0.0043945312 0.00015024039 0.00015024039 0.001164363 0.0002629207 0.00015024039 0.00018780048 0.00067608175 0.0021784855 0.00018780048 0.0002629207 0.00048828125 0.00033804087 7.5120195e-05 0.00011268029 0.00033804087 0.00011268029 0.00018780048 0.00018780048 0.0010141226 0.00075120194 0.00015024039 0.0006385216 0.00041316106 3.7560098e-05 7.5120195e-05 0.00011268029 0.00056340144 0.00011268029 0.00011268029 0.00011268029 0.00041316106 7.5120195e-05 0.00022536058 0.0008263221 0.0008638822 0.00022536058 0.00022536058 7.5120195e-05 0.0010141226 0.00011268029 0.0022911658 0.006610577 0.0046950122 0.00075120194 0.00067608175 0.00030048078 0.00045072116 0.00067608175 0.00033804087 0.00015024039 0.0044696513 0.001539964 0.0037560095 0.002741887 0.007361779 0.00011268029 0.0031926082 0.0025165265 0.001539964 0.0012770433 0.00022536058 0.00015024039 0.02764423 0.0002629207 0.00011268029 0.00011268029 0.0014648438 0.0009014423 0.0016150841 0.00048828125 0.0010516827 0.00030048078 0.0007136418 3.7560098e-05 0.001164363 0.00033804087 0.00045072116 0.00015024039 0.0011268029 0.00015024039 0.00018780048 0.00011268029 0.0026292067 0.00033804087 0.0008263221 0.0002629207 0.004206731 0.0041691707 0.00030048078 0.00022536058 0.012207031 0.0024414062 0.00060096156 0.0034179688 0.0068359375 0.00015024039 0.0002629207 0.00030048078 0.0054462138 0.00048828125 0.00022536058 0.00015024039 0.002741887 0.00015024039 0.00048828125 0.00075120194 0.0061222957 0.0018028846 0.0013146034 0.00041316106 0.010479267 0.00037560097 0.0014648438 0.04300631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02484375 0.0001953125 0.0009960937 0.0012304687 0.0017382812 0.0013671875 0.0058984375 0.0029296875 0.00017578126 1.953125e-05 7.8125e-05 9.765625e-05 0.0 7.8125e-05 0.0001171875 0.000234375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019746093 0.0006640625 0.0090039065 0.00140625 0.006777344 0.0070117186 0.024433594 0.01 0.00015625 7.8125e-05 9.765625e-05 0.00015625 5.859375e-05 7.8125e-05 9.765625e-05 0.000234375 0.03332031 0.0026367188 0.01171875 0.001796875 0.008476563 0.010996094 0.0334375 0.012226563 0.00046875 0.0005859375 0.00046875 0.00041015624 0.00046875 0.00046875 0.0004296875 0.0020898439 0.05675781 0.0025585936 0.008203125 0.01892578 0.007949219 0.009960937 0.020722656 0.011230469 0.004746094 0.0013671875 0.0010546875 0.0014453125 0.0063671875 0.0012304687 0.0033398438 0.004140625 0.022714844 0.002109375 0.0010351562 0.0015820313 0.0040234374 0.009628906 0.0055859373 0.0017773438 0.009042969 0.00041015624 0.000625 0.0010742188 0.01 0.0006640625 0.0040234374 0.005703125 0.088261716 0.012382813 0.010253906 0.006972656 0.036601562 0.038339842 0.02078125 0.010761719 0.06882813 0.003984375 0.0021484375 0.015410156 0.035058595 0.006328125 0.02796875 0.055917967 0.012363281 0.0023632813 0.0018359375 0.0026367188 0.0042578126 0.011992187 0.0066015627 0.0048632813 0.007851562 0.0003515625 0.0011328125 0.00125 0.006953125 0.0015625 0.004550781 0.009433594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 296.0 17.594595 5208.0 0.06470814 0.00076804915 0.0038402458 0.00057603687 0.001344086 0.0063364054 0.0 0.00019201229 0.0019201229 0.0015360983 0.0017281106 0.00019201229 0.0023041475 0.056643624 0.005184332 0.0023041475 0.004032258 0.006528418 0.005952381 0.002688172 0.0038402458 0.0015360983 0.00096006144 0.0015360983 0.0038402458 0.0042242706 0.011328725 0.0024961599 0.009792627 0.004800307 0.005376344 0.005376344 0.005184332 0.0069124424 0.011904762 0.014016897 0.012864823 0.0061443932 0.005952381 0.008640553 0.0017281106 0.01344086 0.00038402458 0.00057603687 0.005376344 0.0049923197 0.0015360983 0.0042242706 0.021889402 0.0023041475 0.0024961599 0.012672811 0.013632872 0.0011520737 0.0028801844 0.024577573 0.013056836 0.0019201229 0.0015360983 0.00096006144 0.0023041475 0.001344086 0.0015360983 0.021697389 0.0015360983 0.030721966 0.0044162828 0.03936252 0.01670507 0.06931644 0.010944701 0.021121351 0.012672811 0.03629032 0.00096006144 0.0049923197 0.027073734 0.023809524 0.034946237 0.03513825 0.021505376 0.0019201229 0.042626727 0.027073734 0.04781106 0.013056836 0.0030721966 0.0017281106 0.0063364054 0.005952381 0.00057603687 0.0017281106 0.0019201229 0.00038402458 0.00057603687 0.0 5.5806026 0.0 0.0 0.0 2.0 26624.0 40960.0 0.0 1.0 77.0 1.0 1.0 0.0 0.0 0.0 1542178300.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 15872.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 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 -6.1110897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3424735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3098167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.196652 0.0 4.571885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5959.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15368.0 0.0 1484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 26368.0 100.0 24404.0 1484.0 32768.0 0.0 0.0 0.0 0.0 956.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 23816.0 0.0 0.0 324.0 20480.0 0.0 0.0 0.0 0.0