Input: 0.012470956 0.0046057827 0.004072326 0.0040968056 0.0039030067 0.0037438876 0.0037800975 0.004385974 0.0041569853 0.003708188 0.0036474983 0.004073856 0.0037709174 0.004052946 0.0037882575 0.0046312823 0.0037795876 0.0037408278 0.0037209378 0.0037275678 0.0037647975 0.0039060668 0.0037459277 0.003879037 0.0038229371 0.003707168 0.0037418476 0.003871897 0.0037780574 0.0038132472 0.0038836268 0.0039177965 0.003855577 0.0034858293 0.0036327085 0.0036464783 0.0035735487 0.0037591876 0.0035750787 0.0037382778 0.0036801382 0.0037275678 0.003681158 0.0038193671 0.0037724476 0.0037653076 0.0039361566 0.003914227 0.003870877 0.0037168579 0.0036561682 0.0040855855 0.003668918 0.0037760176 0.003722468 0.0038836268 0.0038208973 0.0038499672 0.0037423577 0.003907087 0.003923407 0.0039325864 0.004033566 0.004033056 0.0036398482 0.0037668375 0.003666368 0.003865777 0.0036490283 0.003998376 0.0038168172 0.0037831576 0.0036021085 0.0037239979 0.0037137978 0.0038147774 0.0037530677 0.003933097 0.003861697 0.0038025375 0.0039346265 0.0038367072 0.0037306277 0.0039723665 0.0037132879 0.0038958667 0.003966756 0.0040371357 0.0037500076 0.0038152873 0.0038004974 0.0037668375 0.0038775068 0.0039749164 0.0039019866 0.003983076 0.003670958 0.0037398078 0.0037551075 0.0039575766 0.0037275678 0.0041330154 0.0038979067 0.003868327 0.003894847 0.0039815465 0.0039866464 0.003846907 0.0039264667 0.003894847 0.0039534965 0.004186055 0.0038300771 0.003888727 0.003856087 0.003997356 0.0041661654 0.0041503552 0.0038989268 0.003925957 0.0039723665 0.0037821375 0.0039198366 0.003842317 0.0040111262 0.0040371357 0.003985626 0.004017246 0.0039555365 0.003843337 0.0035613088 0.0039866464 0.003678098 0.0040085763 0.0037505177 0.0038907668 0.0035959885 0.0040733456 0.0038418071 0.0044339136 0.0037647975 0.0040866057 0.0037948873 0.003874447 0.0035587589 0.0037724476 0.0035944586 0.0037627576 0.0037795876 0.0038295672 0.0037204279 0.003852007 0.0036250583 0.003690848 0.0037663276 0.0038300771 0.0039305463 0.003881587 0.0039218767 0.0041008857 0.0037076778 0.003862207 0.0037831576 0.0037989675 0.0036459682 0.003696458 0.0037382778 0.0038907668 0.0037719375 0.0037596975 0.0038224272 0.0038275272 0.0037535776 0.003862717 0.0037709174 0.0039356467 0.0037612275 0.0037806074 0.003662798 0.003850477 0.0037739775 0.0038667968 0.0037561276 0.0038866869 0.0038321172 0.0037454176 0.0038463972 0.0039223866 0.0039285067 0.0039030067 0.004007046 0.004038156 0.0041141454 0.003850477 0.0037897874 0.003829057 0.0038096772 0.0038489471 0.004018776 0.003878017 0.0037331777 0.0038917868 0.0037479678 0.0038117173 0.0041636154 0.0038973968 0.003862717 0.0040014363 0.003881587 0.003866287 0.0037398078 0.0038667968 0.0037785675 0.003853027 0.003708188 0.0039591063 0.0038866869 0.0037734676 0.0039361566 0.0038010073 0.0039035168 0.003909127 0.0037877474 0.0040442757 0.003847417 0.0038749569 0.003856087 0.003920857 0.0037953975 0.0038188573 0.0038928068 0.0038285472 0.0041070054 0.003868327 0.0039009668 0.0039606364 0.003964206 0.0038866869 0.003852517 0.004000926 0.0040039863 0.0039754263 0.003858127 0.0039269766 0.004044786 0.003988176 0.0039325864 0.0039422764 0.004102926 0.0039652265 0.004000926 0.0038882168 0.004084056 0.0040978254 0.0043166145 0.0056762663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010041288 1.8122304e-05 3.0629246e-06 1.0209749e-06 1.0209749e-06 1.0209749e-06 2.5524373e-06 1.0209749e-06 5.1048744e-07 0.0 0.0 2.5524372e-07 8.678287e-06 0.0 0.0 4.0838995e-06 0.0033429272 3.9307535e-05 4.237046e-05 3.3947417e-05 9.699262e-06 1.3783161e-05 3.292644e-05 1.5314623e-05 2.8587297e-05 1.3783161e-05 1.990901e-05 1.6590842e-05 1.505938e-05 1.1485968e-05 1.0209749e-06 2.2461449e-05 0.00045050518 3.3181684e-06 2.2971935e-06 3.8286557e-06 2.6290103e-05 1.5569867e-05 3.5734122e-06 4.0838995e-06 4.0838995e-06 0.0 5.1048744e-07 5.1048744e-07 1.7867061e-06 2.5524372e-07 2.5524373e-06 3.5734122e-06 0.0004423374 5.615362e-06 3.5734122e-06 1.7867062e-05 1.0209749e-06 1.5314623e-06 1.8377548e-05 7.6573116e-07 3.8286557e-06 7.6573116e-07 5.1048744e-07 5.1048744e-07 5.3601184e-06 1.0209749e-05 6.381093e-06 4.0838995e-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 0.0003946068 1.2762186e-05 5.1048746e-06 6.1258493e-06 3.6244608e-05 1.6335598e-05 4.594387e-06 1.1741212e-05 5.1048746e-06 1.0209749e-06 1.2762187e-06 1.7867061e-06 3.5734122e-06 7.912556e-06 9.444017e-06 5.1048746e-06 0.0017134511 1.5825111e-05 0.00024886263 2.4758641e-05 5.9216545e-05 3.3947417e-05 0.0006286653 0.00035223635 1.7611817e-05 2.807681e-06 2.0419498e-06 4.0838995e-06 3.3181684e-06 1.301743e-05 8.167799e-06 8.423043e-06 0.0006197318 2.2971935e-06 5.7174595e-05 2.0164254e-05 2.5013886e-05 2.4758641e-05 0.00016514269 7.835982e-05 1.3527918e-05 2.5524372e-07 7.6573116e-07 2.5524373e-06 6.8915806e-06 0.0 4.0838995e-06 2.4758641e-05 0.0004709247 8.167799e-06 1.6590842e-05 5.2580206e-05 0.00015033856 6.763959e-05 0.00043646677 0.00023125081 4.032851e-05 2.807681e-06 7.912556e-06 1.301743e-05 9.188774e-06 4.0838995e-06 1.1485968e-05 4.5433382e-05 0.0004653093 7.402068e-06 3.139498e-05 3.5734123e-05 6.457666e-05 2.9608273e-05 0.00017075805 0.00010439468 5.334594e-05 2.0419498e-06 1.7867061e-06 1.1741212e-05 6.8915806e-06 5.615362e-06 4.594387e-06 5.0283015e-05 0.0004254913 2.0929985e-05 6.559764e-05 1.9653768e-05 6.227947e-05 3.292644e-05 0.00014982806 0.00011537017 3.3692173e-05 1.4548892e-05 1.7101329e-05 1.7101329e-05 2.118523e-05 1.6335598e-05 1.5569867e-05 1.7867062e-05 0.0001401288 7.402068e-06 5.3601184e-06 7.402068e-06 4.5433382e-05 2.2716691e-05 0.000112051996 5.6408862e-05 1.5825111e-05 4.849631e-06 4.313619e-05 8.167799e-06 1.6335598e-05 6.1258493e-06 7.6573115e-06 2.3737666e-05 0.0039823125 0.00088646146 0.00034049514 0.00062483666 0.0007343362 0.0013088898 0.000548774 0.00082239526 0.0020838098 0.0001429365 0.00018530694 0.0004933861 0.0012246594 0.0003052715 0.00072795514 0.0023158262 0.00036627476 8.1422746e-05 4.5433382e-05 5.9982274e-05 6.636337e-05 0.000103628954 5.002777e-05 6.3555686e-05 0.00018479646 1.7101329e-05 5.7940328e-05 5.2324966e-05 0.00010847858 3.905229e-05 7.887031e-05 0.00019296426 0.058917142 0.059705336 0.058707587 0.06073346 0.059102707 0.06030286 0.060100198 0.06143436 0.05967241 0.060426656 0.06030516 0.060948882 0.06082688 0.061289635 0.061506335 0.06308783 8963.0 5.8533974 52464.0 0.009625648 0.008786978 0.009206313 0.0102165295 0.008386703 0.009625648 0.008653553 0.00968283 0.009320677 0.010064044 0.00884416 0.009454102 0.009549405 0.00939692 0.0104833795 0.0105215 0.010807411 0.010044984 0.009244435 0.010388075 0.009835316 0.009701891 0.009873437 0.010712108 0.008767917 0.009511284 0.010197469 0.010064044 0.010731168 0.009282555 0.010140287 0.009511284 0.009568466 0.011512657 0.00968283 0.009930619 0.010654925 0.011760445 0.010940836 0.0104833795 0.00941598 0.011417353 0.009530345 0.010540561 0.0099496795 0.010959896 0.010845532 0.009759073 0.01025465 0.010464318 0.0100831045 0.011226746 0.0104833795 0.011322049 0.010292772 0.010311833 0.008672614 0.009797194 0.009473163 0.010330894 0.010121226 0.010292772 0.010426197 0.009587526 0.0105215 0.011550778 0.010064044 0.012046356 0.012275084 0.01660186 0.010673986 0.010540561 0.009568466 0.012522873 0.010197469 0.010311833 0.013113754 0.010978957 0.012522873 0.013571211 0.010807411 0.010159347 0.012961268 0.012141659 0.014371759 0.011322049 0.010388075 0.0105215 0.0105215 0.009892498 0.010064044 0.010292772 0.009530345 0.009911559 0.010006862 0.009320677 6.57546 0.0 0.0 0.0 26.0 1960796.0 4669440.0 1.0 0.0 134.0 0.0 1.0 0.0 0.0 0.0 1208111600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 7.0 10.0 5.0 1.0 4.0 0.0 39424.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 4614144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2479997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.582818 0.0 7.9949393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39368.0 0.0 4616192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 40320.0 4614048.0 53248.0 0.0 0.0 3408.0 4655616.0 0.0 0.0 28.0 4656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 560.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056592986 0.008295645 0.0061666737 0.0056476146 0.0057499786 0.00496622 0.0041959025 0.0054191044 0.0050427346 0.005619697 0.0037502558 0.004469908 0.004946574 0.0031722595 0.0043220483 0.004637413 0.0050385986 0.0037595618 0.004938302 0.004160747 0.004363408 0.0031743275 0.00410698 0.0038298727 0.00507789 0.0033459687 0.0031753613 0.0029313415 0.0041411016 0.003433857 0.0037874794 0.0037947171 0.00616564 0.003816431 0.0034886582 0.00301923 0.004879365 0.004159713 0.0038412465 0.0037254402 0.004728404 0.0038960476 0.003329425 0.0031050507 0.00437168 0.0037202705 0.0037233722 0.0035868867 0.005517333 0.0039508487 0.0030926429 0.002895152 0.0036747751 0.0030843709 0.0026893895 0.0028641326 0.0041762567 0.003309779 0.0035134738 0.0033532064 0.004002548 0.0032374004 0.003505202 0.0034576387 0.0065988787 0.0039580865 0.003626178 0.0032311964 0.0041545434 0.0032239587 0.0035393233 0.003070929 0.0049931034 0.0037667996 0.0037057947 0.0035796487 0.0041379994 0.0031246962 0.0035620711 0.0034659107 0.0051668123 0.003621008 0.0036478916 0.0033263229 0.003933271 0.00338009 0.0033594104 0.0035424253 0.004640515 0.0036509936 0.003808159 0.003508304 0.004113184 0.003388362 0.003688217 0.0037895474 0.005910246 0.0036303138 0.0033418327 0.002958225 0.0040128874 0.0030481815 0.0032735898 0.0030357738 0.0049755257 0.0031598518 0.003191905 0.0030554193 0.003575513 0.0028455209 0.0030957446 0.003191905 0.0045133354 0.0032901336 0.0032229247 0.003137104 0.0038867416 0.003328391 0.0032890995 0.00362411 0.004627073 0.0032922016 0.0034824545 0.0031691575 0.0040356354 0.003195007 0.0034679787 0.0033501044 0.008636859 0.004601224 0.0040128874 0.0035196778 0.00437168 0.0034421291 0.003015094 0.0033924978 0.0045484905 0.0038422805 0.0029716669 0.0031825993 0.0037326782 0.0028000257 0.0028434529 0.0029820066 0.0052216137 0.0032156867 0.0034917602 0.0030285357 0.0036634014 0.0031867353 0.0033056433 0.0032725558 0.0045433207 0.0028475889 0.0030440455 0.002708001 0.0035196778 0.0032301624 0.0029809726 0.0031495118 0.005011715 0.0034173133 0.0032715218 0.0028000257 0.0037740376 0.003016128 0.0030564533 0.0031836333 0.0041348976 0.0029985504 0.0031288322 0.0030140602 0.0036561636 0.0028444869 0.0029178998 0.0030368078 0.0046684328 0.0031153904 0.0038422805 0.0028579286 0.003569309 0.0031588178 0.0029840746 0.0031226282 0.0042589754 0.0031505458 0.0033387307 0.0031701915 0.0036489256 0.003201211 0.003327357 0.0033387307 0.006709515 0.004058383 0.0037213045 0.003334595 0.004121456 0.003261182 0.0033015073 0.0032353324 0.0043303203 0.003333561 0.0031236622 0.003077133 0.0036375518 0.0029851086 0.0030864389 0.0027938217 0.0042548394 0.0032808278 0.0030998806 0.0030006184 0.0037130325 0.0030244 0.0029375453 0.002950987 0.0039715283 0.0031112544 0.0027317828 0.0026356224 0.0035372553 0.002953055 0.0035910225 0.0028858462 0.004949676 0.0032529102 0.0033966338 0.0029716669 0.003808159 0.003076099 0.003199143 0.002906526 0.0044430243 0.0054470217 0.0034659107 0.0031298662 0.0037926491 0.0030833369 0.0032415364 0.0031805313 0.0046105296 0.003322187 0.0034152456 0.0030399098 0.003741984 0.0030926429 0.003327357 0.0032498082 0.00435617 0.0030471475 0.0031836333 0.0028620646 0.0040118536 0.0030978126 0.004224854 0.004508165 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09912161 0.062021557 0.062447187 0.055311963 0.060612634 0.05953976 0.054960895 0.05446899 0.06047801 0.053184856 0.052166354 0.05296842 0.056442827 0.050606236 0.05665409 0.053871453 4041.0 5.7027965 23045.0 0.017140377 0.01058798 0.009459753 0.008635279 0.013451942 0.012497288 0.011889781 0.011499241 0.012540681 0.009806899 0.0085050985 0.008852245 0.013842482 0.010501193 0.011672814 0.0098502925 0.01666305 0.011889781 0.008722066 0.007463658 0.0098936865 0.008548492 0.007897591 0.008374918 0.010240833 0.008461705 0.00954654 0.008982426 0.011412454 0.009025819 0.009633326 0.009242786 0.018225212 0.010848341 0.010371014 0.008982426 0.0108049465 0.008852245 0.01071816 0.008288132 0.014189629 0.01162942 0.009720113 0.008939032 0.011499241 0.009286179 0.01162942 0.00954654 0.014753743 0.00954654 0.00993708 0.009025819 0.012236928 0.009329572 0.00954654 0.009763506 0.013668909 0.009242786 0.010544587 0.00954654 0.0111087 0.009806899 0.010414407 0.010631373 0.017878065 0.01097852 0.009676719 0.008201345 0.013018008 0.008201345 0.009329572 0.008288132 0.015361249 0.009286179 0.008895639 0.008678672 0.011325668 0.008157952 0.010023867 0.007854198 0.013148189 0.007984378 0.008635279 0.008852245 0.011369061 0.0094163595 0.008418312 0.007984378 0.011152093 0.008982426 0.011889781 0.008548492 0.01123888 0.009069213 0.010023867 0.008765459 6.554941 0.0 0.0 0.0 14.0 967134.0 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: 0.442195 0.024658203 0.005051833 0.005108173 0.006666917 0.0027606671 0.0019719051 0.0017653245 0.0076810396 0.0013521635 0.0017653245 0.0012019231 0.0045823315 0.0025165265 0.0011080229 0.004206731 0.007906401 0.0006385216 0.0008638822 0.0008263221 0.0022348256 0.0042442908 0.00075120194 0.0006385216 0.0016714243 0.000394381 0.00056340144 0.0004319411 0.0014460637 0.0008263221 0.0004695012 0.0006385216 0.008432241 0.0005821815 0.0014085036 0.0010892428 0.0076434794 0.0012394831 0.00060096156 0.00037560097 0.0015211839 0.00061974156 0.0003568209 0.0012019231 0.000769982 0.00075120194 0.0012582632 0.00030048078 0.003155048 0.0017465445 0.0021409255 0.0047701322 0.0024414062 0.0022911658 0.0013521635 0.0016338641 0.0026855469 0.0017465445 0.0009765625 0.0036621094 0.0017841046 0.0020470251 0.001183143 0.0013521635 0.0025916467 0.001953125 0.000788762 0.0016526442 0.0046950122 0.0057091345 0.0027231069 0.0022160457 0.0016902044 0.0017089844 0.00069486175 0.0005446214 0.0022536058 0.0034555288 0.0010141226 0.000788762 0.0058030346 0.0017277644 0.0013521635 0.0033616286 0.0018592248 0.0019155649 0.0034367489 0.0038499099 0.0011268029 0.0028170072 0.0004319411 0.0013146034 0.0013333834 0.0013897235 0.0021409255 0.0025540865 0.0008451022 0.0036996694 0.0005258414 0.0020470251 0.0029672475 0.008526142 0.0021221454 0.0013146034 0.0032677283 0.0044320915 0.0040189303 0.0004319411 0.0036808895 0.0015211839 0.004826472 0.0048640324 0.001953125 0.00030048078 0.006253756 0.0027982271 0.013315054 0.008713942 0.0010141226 0.0018780048 0.0017089844 0.0011268029 0.0007136418 0.00024414062 0.0037372296 0.0014648438 0.0007324219 0.0004695012 0.005408654 0.0021409255 0.0005258414 0.009465144 0.0028733474 0.006629357 0.00045072116 0.0003568209 0.00386869 0.0076434794 0.0024226261 0.018197866 0.0012958234 0.0078876205 0.0010141226 0.0010704627 0.0021972656 0.00060096156 0.0005446214 0.00028170072 0.0007136418 0.00061974156 0.00028170072 0.00024414062 0.0005070613 0.00024414062 0.0003192608 0.00018780048 0.00060096156 0.00041316106 0.000394381 0.00022536058 0.0029484676 0.0021409255 0.00030048078 0.0010516827 0.0010516827 0.0007136418 0.0004695012 0.00048828125 0.0009765625 0.00061974156 0.00048828125 0.00061974156 0.00048828125 0.00016902044 0.0005258414 0.00018780048 0.001577524 0.00056340144 0.000394381 0.00028170072 0.0010516827 0.0009953425 0.0006573017 0.0004319411 0.001539964 0.0010516827 0.0021784855 0.0014460637 0.0009765625 0.0015963041 0.0008451022 0.0009014423 0.0065354565 0.0030048077 0.0011455829 0.0043194112 0.0020845854 0.000394381 0.001539964 0.0025916467 0.0018592248 0.0018780048 0.0006385216 0.00037560097 0.0056152344 0.00033804087 0.0005821815 0.0018028846 0.001577524 0.0013333834 0.0011268029 0.0009202224 0.00048828125 0.0003192608 0.00069486175 0.00048828125 0.0013709435 0.00033804087 0.0004319411 0.000788762 0.0010516827 0.00022536058 0.00024414062 0.0002629207 0.0021033655 0.00067608175 0.0004319411 0.00020658053 0.0011268029 0.00020658053 0.0004695012 0.00033804087 0.0060847355 0.0018028846 0.0005446214 0.0036433293 0.0030987079 0.00037560097 0.0005258414 0.0005070613 0.0025353064 0.0005821815 0.0009390024 0.0013146034 0.0013146034 0.00028170072 0.0020470251 0.0024601864 0.0037747896 0.0014272836 0.0008263221 0.0014460637 0.0037747896 0.0023850661 0.001953125 0.026404748 0.15657552 1.9148285e-05 0.0 0.0 5.7444853e-05 0.0 7.659314e-05 5.7444853e-05 0.0 0.0 0.0 3.829657e-05 0.0 0.0 0.0 3.829657e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03480201 0.00032552084 0.0003638174 0.00033509498 0.000268076 0.00021063113 0.0007659314 0.00044041054 0.0001819087 9.574142e-05 0.000268076 0.000268076 0.0003638174 4.787071e-05 0.00014361214 0.00033509498 0.0167356 0.0006127451 0.00044041054 0.000134038 0.00020105699 0.00020105699 7.659314e-05 6.7019e-05 0.0003829657 0.00012446386 0.00017233456 4.787071e-05 4.787071e-05 0.0001819087 6.7019e-05 0.000114889706 0.061217066 0.00067018997 0.0012733609 0.0026041667 0.0012063419 0.0006318934 0.0027860755 0.002096737 0.00161803 0.0004308364 0.0005457261 0.00045955883 0.0009957108 0.00029679842 0.00034466913 0.0012542126 0.042040057 0.001005285 0.0010914522 0.0007946538 0.00201057 0.0014361213 0.005055147 0.0029201133 0.0003829657 0.00029679842 0.00017233456 0.00016276042 0.00040211398 0.00041168812 0.0003159467 0.00032552084 0.011642157 9.5741425e-06 0.0011488971 0.00016276042 0.0003159467 0.00022020527 0.0037817862 0.0022786458 0.0 0.0 1.9148285e-05 1.9148285e-05 0.0 0.0 9.5741425e-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 0.022039676 0.00023935355 0.0018669578 0.0008425245 0.0011201747 0.0004978554 0.0041360296 0.0031115962 0.0020009957 1.9148285e-05 7.659314e-05 0.00037339155 0.001072304 0.0 0.00019148285 0.0016276041 0.007850797 0.000105315565 0.00027765014 0.00017233456 0.0015701593 0.0007659314 0.004901961 0.0025275736 8.616728e-05 0.00016276042 0.0007276348 0.00012446386 7.659314e-05 5.7444853e-05 2.8722427e-05 0.00017233456 0.026855469 0.001953125 0.003705193 0.0139782475 0.002431832 0.002489277 0.008655025 0.0054381127 0.0027956495 0.0013595282 0.0019339767 0.0013691023 0.0015797334 0.0011871937 0.0013403799 0.0013595282 0.006070006 0.00032552084 0.0009957108 0.00029679842 0.0011967678 0.001349954 0.004241345 0.0022690718 0.0003829657 0.00012446386 0.00012446386 0.000114889706 0.00078507967 0.00017233456 0.00028722428 0.0008712469 0.083256744 0.012637868 0.0088177845 0.009909237 0.018085554 0.018516392 0.00825291 0.016793046 0.04411765 0.003705193 0.004988128 0.0081188725 0.019856771 0.006328508 0.014198453 0.036142386 0.03842103 0.006931679 0.008501838 0.00619447 0.0065104165 0.010665595 0.0068838084 0.009124157 0.020670572 0.0022116269 0.0044232537 0.005476409 0.009976256 0.0031690411 0.0055625765 0.012140012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 290.0 12.472414 3617.0 0.04285319 0.0008294166 0.007741222 0.00055294443 0.0049765 0.0016588332 0.0011058889 0.0016588332 0.0030411943 0.001382361 0.0008294166 0.0011058889 0.0011058889 0.0044235555 0.007188278 0.00055294443 0.013270666 0.009123583 0.0105059445 0.011058888 0.011888306 0.0060823886 0.009953 0.008017695 0.009676527 0.006358861 0.004147083 0.0049765 0.007741222 0.0060823886 0.004147083 0.0074647497 0.003594139 0.010782416 0.0030411943 0.010229472 0.007741222 0.008847111 0.012717722 0.013270666 0.007741222 0.0052529722 0.0008294166 0.0022117777 0.007741222 0.0058059166 0.003594139 0.0030411943 0.0105059445 0.0022117777 0.009953 0.01741775 0.008294166 0.0044235555 0.006358861 0.01603539 0.0016588332 0.001382361 0.0022117777 0.001382361 0.0016588332 0.0008294166 0.00055294443 0.009676527 0.00248825 0.03594139 0.0058059166 0.01603539 0.023776611 0.08874758 0.0074647497 0.012164777 0.010782416 0.040364943 0.005529444 0.002764722 0.0348355 0.013547138 0.03870611 0.039259054 0.016588332 0.0011058889 0.048106164 0.023223666 0.05861211 0.019629527 0.0052529722 0.0105059445 0.012164777 0.0058059166 0.002764722 0.00027647222 0.0019353055 0.0019353055 0.0011058889 0.00027647222 5.732191 2.0 0.0 0.0 3.0 53248.0 61440.0 1.0 0.0 63.0 1.0 1.0 0.0 0.0 0.0 1208111500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 32768.0 4096.0 4096.0 7.0 0.0 0.0 3.0 5.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 -5.983351 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.724843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.856678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.71255 0.0 3.9102924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2658.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26414.0 0.0 3792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 42212.0 3792.0 16384.0 0.0 0.0 0.0 0.0 1880.0 57344.0 28.0 4352.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16336824 0.007499586 0.004410547 0.0049466016 0.006035268 0.00283343 0.0035650716 0.0022052736 0.0068745343 0.0013794602 0.002600588 0.0013049508 0.0046071694 0.0025374617 0.0010617601 0.0044302093 0.0034170875 0.0009644838 0.000913776 0.0010120871 0.0024960677 0.0019217236 0.00088480004 0.0007202583 0.0018689461 0.0010669343 0.0006902475 0.0009934597 0.0016526616 0.0008258134 0.0005919364 0.0007347463 0.031100463 0.0006457488 0.001203535 0.00066023675 0.0042594587 0.0010462373 0.0006954218 0.032435425 0.0013225432 0.00075026904 0.0006892127 0.0013318569 0.0029420897 0.0016961255 0.002640947 0.00088273035 0.0077748573 0.005859343 0.009703825 0.008776596 0.004842081 0.0042801555 0.0043318984 0.004356735 0.01593468 0.0077934847 0.001402227 0.003745136 0.0018792946 0.0017571818 0.0013380661 0.0015005381 0.0034595164 0.0029420897 0.003954177 0.0031138754 0.0037409968 0.013694221 0.0050335294 0.002272539 0.0020221046 0.0025871347 0.0009582747 0.00075958273 0.0024939978 0.0042842953 0.0024018958 0.001664045 0.0058086347 0.0019020614 0.00208937 0.0048896847 0.0029710655 0.0034812484 0.0036571736 0.0028665452 0.0010824571 0.0026544002 0.00075544335 0.0010834921 0.0392934 0.0021214504 0.0020438365 0.0015119215 0.0011538621 0.016202707 0.00626811 0.011911168 0.010616566 0.028301183 0.008232263 0.0034574468 0.00577138 0.01519476 0.0032835912 0.0012263019 0.01027196 0.004574054 0.01373872 0.012029141 0.0070649474 0.0015605596 0.014590405 0.012167812 0.020055467 0.013966388 0.0030052157 0.0026585397 0.0018337611 0.0020345228 0.0013422054 0.0010172614 0.0014156802 0.0028313603 0.0013059856 0.000984146 0.00208937 0.0012573474 0.0007688964 0.0073278 0.0018803295 0.004766537 0.0009303336 0.0005319149 0.0013960178 0.006734829 0.00092826394 0.017081298 0.0010224356 0.0066406573 0.0007513039 0.0006198775 0.0011186771 0.0004511963 0.00052363606 0.000856859 0.0010141568 0.0006457488 0.00048741617 0.00042532495 0.00092101994 0.0008661727 0.00046050997 0.0004936253 0.0008796258 0.0005370892 0.00054329826 0.00059814553 0.00093654275 0.000871347 0.0005370892 0.0006705853 0.0009717278 0.0008930789 0.00051328755 0.00036944283 0.00090032286 0.00047706763 0.0004418826 0.0004491266 0.00097069296 0.00041601126 0.000453266 0.0004667191 0.00085582415 0.00046154484 0.00042532495 0.00042118554 0.00083823164 0.00065195793 0.0011269558 0.0012087093 0.0021297294 0.0007068052 0.0004925904 0.00058883184 0.0008765212 0.00057848333 0.0007854541 0.000587797 0.0046734 0.0018823992 0.0022363192 0.00297417 0.001905166 0.00062919117 0.0029079395 0.002585065 0.0018203079 0.0014757016 0.00081960426 0.0006633413 0.0032173607 0.0006974915 0.0011507575 0.0007616525 0.0013991224 0.00068507326 0.00091895025 0.00078234955 0.0010048432 0.00045223115 0.00067886413 0.00078234955 0.0014198195 0.00062298204 0.0005608908 0.0010234705 0.0012469989 0.0005288103 0.00049879955 0.00055261195 0.0018741203 0.0005836576 0.00056192564 0.0004646494 0.0014467257 0.0006892127 0.000573309 0.00056813477 0.011136062 0.002627494 0.00058676215 0.0026544002 0.003186315 0.0005909016 0.00055054226 0.0005826227 0.0026864808 0.0010783178 0.0007895935 0.0008620333 0.0014363772 0.000495695 0.0017799487 0.0013773905 0.0024919282 0.00083098764 0.00096137926 0.0015408974 0.0042035766 0.0013577283 0.0033684494 0.030224977 0.031847134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010294337 1.5550359e-06 2.0733812e-06 1.9178775e-05 1.0366906e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 2.0733812e-06 2.0733812e-06 1.0366906e-06 2.0733812e-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 0.0018847034 5.1316183e-05 1.3995323e-05 1.1921941e-05 2.3325538e-05 2.2807191e-05 3.421079e-05 1.658705e-05 6.7384885e-06 6.7384885e-06 1.5550359e-05 1.0366905e-05 6.2201434e-06 5.1834527e-06 8.293525e-06 5.1834527e-06 0.0027150926 5.2352872e-05 1.6068703e-05 1.8142086e-05 6.012805e-05 2.9027335e-05 6.7384884e-05 4.250431e-05 6.012805e-05 1.658705e-05 2.0215466e-05 1.5550359e-05 1.1921941e-05 1.7105394e-05 2.6953954e-05 1.5550359e-05 0.0033179282 7.308668e-05 4.6651076e-05 2.7472299e-05 0.00016327876 7.516007e-05 0.00017831077 9.485718e-05 6.945827e-05 9.848561e-06 1.5032013e-05 2.7990645e-05 3.5247478e-05 1.1921941e-05 4.716942e-05 5.287122e-05 0.009103698 0.00021718667 0.00096671394 0.00010522409 0.0011263643 0.00036491506 0.002350696 0.0011336211 0.00013062301 0.00023066365 0.00010315071 6.116474e-05 7.0494956e-05 8.7600354e-05 0.0001363248 0.0007966967 0.033132114 0.0005473726 0.023151373 0.0115026 0.0043857195 0.010692945 0.054651733 0.02555494 0.00025606257 0.00041830464 0.00015135683 0.00016224207 0.00029390177 0.00030271366 0.00051005173 0.0030763792 0.015555023 0.00046391902 0.036768302 0.038184423 0.004436517 0.030083206 0.055176817 0.022969952 0.0003078971 0.0002037097 0.00011299927 0.00012906798 0.00017312732 0.00011973776 0.00030582372 0.0009542737 0.016709896 0.00029804854 0.005967191 0.0030540903 0.0068032816 0.004721607 0.01554362 0.007843601 0.0004421485 0.00039446075 0.00031515394 0.00019282445 0.0003172273 0.00016327876 0.0003135989 0.00061423914 0.011719269 0.0003001219 0.0015571092 0.0013145236 0.0034013817 0.0018867768 0.004961601 0.0029042885 0.00043126327 0.0004950197 0.0004214147 0.00022185178 0.00032344746 0.00014358164 0.000289755 0.00041415787 0.009360279 0.0010496492 0.0013414776 0.0132883 0.0025829144 0.0016929157 0.0029162106 0.0019251343 0.0011605751 0.0012383269 0.0011382862 0.001085415 0.0012264049 0.00093250314 0.0011242909 0.0014617337 0.005070972 0.00034366292 0.0004893179 0.00076766935 0.0012818679 0.0006930276 0.00089829235 0.0009630855 0.0017224613 0.0004167496 0.00021614999 0.00045718055 0.0009651589 0.00032344746 0.00082727906 0.0015488156 0.03558855 0.005683656 0.0039098784 0.0051274714 0.012708271 0.01077277 0.00413173 0.008412744 0.023752136 0.0019240977 0.0017680757 0.0037735535 0.011790282 0.003511271 0.010583574 0.022167036 0.03859288 0.00831685 0.006816759 0.008514339 0.014923161 0.013951781 0.0076585514 0.01301565 0.0231182 0.0023289253 0.0027886976 0.0033946433 0.012115284 0.0043017473 0.011692833 0.021675644 0.003914025 0.0033345153 0.003355249 0.0032904558 0.0033739095 0.0032028554 0.0036548525 0.0029628617 0.003338662 0.003140654 0.0032655753 0.0032080389 0.00310748 0.0032469148 0.0028400137 0.0027809225 3754.0 93.8066 352150.0 0.0716456 0.00021581713 0.00076387904 0.00018458044 0.0008007951 0.00024989352 0.00017322163 0.0874173 0.0009853756 0.0006218941 0.00042595484 0.00021297742 0.0058157034 0.0029646459 0.004461167 0.0008717876 0.012662218 0.012494676 0.02377112 0.012778645 0.009677694 0.008612807 0.008794548 0.009075678 0.03961664 0.016478773 0.0013545364 0.0015078802 0.0014539259 0.0011898339 0.001027971 0.0014170097 0.0019139571 0.0040323725 0.0015703535 0.0034189976 0.0030498367 0.0053045577 0.0014454068 0.0014226892 0.0016612239 0.004654267 0.0003322448 0.00047706944 0.0030867527 0.0015249184 0.0034473946 0.0025926451 0.0025983246 0.00041175637 0.0029163708 0.006767003 0.0039187847 0.0029163708 0.002416584 0.0024364616 0.0005736192 0.00096265797 0.00066164986 0.0002839699 0.10484169 0.00023569501 0.00037484028 0.0005509016 0.0005395428 0.03771404 0.015416726 0.028976288 0.0239699 0.06644044 0.016546926 0.007556439 0.008916655 0.03555587 0.00090018456 0.0017009797 0.022294477 0.009700412 0.031571772 0.028272044 0.013619197 0.0028737753 0.032892235 0.027806332 0.03537413 0.018003691 0.004648587 0.0044867243 0.0021695301 0.0036717309 0.0022092857 0.0012239103 0.00044015335 0.0012693454 0.0005480619 0.00016470253 5.204408 1.0 52.0 0.0 3.0 966320.0 962560.0 1.0 0.0 397.0 1.0 1.0 1.0 0.0 0.0 1490301400.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 339968.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -53248.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -339968.0 0.0 438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7409735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5990233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6363945 0.0 5.8007035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50282.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -337383.0 0.0 436886.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 2.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 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 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 2.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 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 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 -1.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 427072.0 436886.0 471040.0 0.0 0.0 20144.0 946176.0 24644.0 909312.0 28.0 345952.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 385968.0 0.0 0.0 1636.0 344064.0 320.0 425520.0 0.0 0.0


Input: 0.08826116 0.0077685835 0.0048872596 0.0048872596 0.0056291805 0.0039726156 0.0043847943 0.0036782024 0.0063475487 0.003489778 0.0036625003 0.00304227 0.004867632 0.003360236 0.002857771 0.006873567 0.005691989 0.003175737 0.002528028 0.0029245047 0.0035761392 0.0034151932 0.0027400057 0.002720378 0.0033445342 0.0026340168 0.002720378 0.002626166 0.0033406087 0.002857771 0.0026065384 0.0027753352 0.0063436236 0.0028224413 0.0025986873 0.0027910373 0.0035643626 0.0028459944 0.0026026128 0.0027243036 0.0030461955 0.0024495178 0.0025358791 0.0031404076 0.0030030147 0.0028224413 0.0032935026 0.0029166536 0.005346544 0.0038705524 0.0031639608 0.0046163993 0.003411268 0.0031875137 0.0029205792 0.0030618974 0.0034230442 0.0035957668 0.0031600352 0.0046595796 0.0036271708 0.003784191 0.0029990892 0.0030383444 0.0071836826 0.005440756 0.0027007505 0.0031090037 0.0036939045 0.005593851 0.0035996921 0.0030461955 0.003552586 0.0028773984 0.0024612944 0.002751782 0.0030187168 0.004184593 0.0027792607 0.0026771976 0.005091386 0.0030579718 0.0027635586 0.0040314985 0.0030030147 0.0042199227 0.0040511256 0.003682128 0.0031678863 0.004490783 0.0025594323 0.0029323555 0.0034308953 0.0037802656 0.0033327576 0.0033720126 0.0030618974 0.0041178595 0.002512326 0.0039255098 0.004062902 0.0056723612 0.0044083474 0.0028224413 0.0042984327 0.0046949093 0.0040589767 0.0028263668 0.0040079453 0.003450523 0.0038391482 0.005162045 0.0038509248 0.0025319536 0.0052837357 0.0040157964 0.00897764 0.0075291274 0.0031050781 0.0031325566 0.0032346197 0.002857771 0.0023513802 0.002618315 0.0029755363 0.003489778 0.0027871118 0.0030147913 0.004027573 0.0037606382 0.0030579718 0.008486952 0.003874478 0.007266118 0.0029598342 0.0028145902 0.0035486605 0.0061826776 0.0029598342 0.011262286 0.0031600352 0.0054643094 0.002626166 0.0025515812 0.0030030147 0.002480922 0.002425965 0.0023827844 0.0028185158 0.0026928994 0.0023984862 0.0026222405 0.0029009515 0.0026614955 0.0025437302 0.0025398047 0.0029990892 0.0028185158 0.0025005497 0.0025044752 0.0032424708 0.0031050781 0.0025829852 0.0027596331 0.0030030147 0.0026614955 0.0023396036 0.0023749333 0.0030933016 0.0023513802 0.0024691455 0.002488773 0.003273875 0.0025084007 0.0025044752 0.0027007505 0.003097227 0.002335678 0.0023984862 0.0024455925 0.0029284302 0.0027400057 0.0028263668 0.0031247055 0.0034387463 0.0025555068 0.0024495178 0.0024966241 0.0031090037 0.003136482 0.0026850486 0.0025044752 0.005872562 0.0039412114 0.0032935026 0.0047106114 0.0035290332 0.0028263668 0.0035879158 0.00438872 0.0033916403 0.0031835882 0.0024612944 0.002704676 0.009641051 0.0024848476 0.0026340168 0.002712527 0.00331313 0.0027988884 0.0027871118 0.0025044752 0.0030658229 0.0024063373 0.002912728 0.0024298904 0.0033366831 0.0025869107 0.0025908363 0.002696825 0.0030697484 0.0024377415 0.0025476557 0.0026104639 0.0038077442 0.0025241026 0.0026850486 0.002433816 0.0035957668 0.002865622 0.0027360802 0.0023984862 0.008475175 0.003552586 0.0027321547 0.004294507 0.004243476 0.00238671 0.0026104639 0.002696825 0.0037488616 0.0025515812 0.0027949628 0.0028695476 0.003489778 0.0039255098 0.0036585748 0.003450523 0.0046085482 0.0031482587 0.002857771 0.0048126746 0.0044004964 0.0033170555 0.0038195208 0.027690545 0.008073444 1.9768472e-06 7.907389e-06 1.383793e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035800703 9.093497e-05 6.325911e-05 1.383793e-05 7.11665e-05 4.5467485e-05 7.9073885e-05 4.5467485e-05 1.1861083e-05 3.9536944e-06 5.9305416e-06 7.907389e-06 1.9768472e-06 1.9768472e-06 1.9768472e-06 2.3722167e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030364373 0.00017791624 0.00019570786 9.884236e-06 0.0002095458 5.732857e-05 7.314335e-05 6.523596e-05 3.9536942e-05 1.5814778e-05 4.151379e-05 1.1861083e-05 1.9768471e-05 3.1629555e-05 2.3722167e-05 3.9536942e-05 0.008162402 0.0002550133 0.00027082805 0.00012454137 0.0008935349 0.00030048078 0.0010160995 0.00056340144 7.314335e-05 3.36064e-05 5.535172e-05 2.9652707e-05 8.302758e-05 5.732857e-05 9.686551e-05 0.00013047192 0.022648739 0.0005238645 0.0021626707 0.0015201955 0.0014865891 0.0011050575 0.006438591 0.0036690284 0.0003143187 0.00012651822 5.9305414e-05 7.11665e-05 0.00016407832 7.11665e-05 4.9421178e-05 7.5120195e-05 0.0054956353 0.0001383793 0.00014826354 0.0013383256 0.00064840587 0.00036176303 0.0015933388 0.0007848083 8.698127e-05 9.686551e-05 0.00010279605 9.686551e-05 0.00012454137 0.00017791624 7.5120195e-05 0.0008757433 0.002249652 7.709704e-05 9.093497e-05 0.00011268029 7.9073885e-05 7.709704e-05 0.00011465714 7.314335e-05 0.00021745318 6.128226e-05 6.72128e-05 0.00011070344 0.00023326797 0.00015814777 0.00011070344 0.00021547634 0.0068062847 0.0004744433 0.0008678359 0.0055786627 0.0013640246 0.00075120194 0.0020519674 0.0012513442 0.0008638822 0.00041711476 0.00039734627 0.0003479251 0.0006246837 0.0004190916 0.0005456098 0.0015300798 0.0064464984 0.00066026696 0.0006582901 0.00055944774 0.00062666053 0.0006938733 0.0008124842 0.0011465714 0.0043925545 0.00050014234 0.0005574709 0.0011979694 0.0011722704 0.00049618864 0.0010773817 0.0073420103 0.019214954 0.0033685477 0.0029731782 0.0033388948 0.0060748514 0.0051002656 0.0048136227 0.0066817435 0.011884805 0.0011050575 0.001474728 0.0020974348 0.006663952 0.0015498481 0.0053987694 0.015425338 0.028603002 0.006284397 0.003957648 0.006541387 0.009032215 0.009874351 0.0065769707 0.008619053 0.016702382 0.0017811393 0.0025797857 0.0028486368 0.013851768 0.003168886 0.008650683 0.016676683 0.04222941 0.037548237 0.038119543 0.038732365 0.03823618 0.038706668 0.039238438 0.038965635 0.03961602 0.038244084 0.038196642 0.03753242 0.0386355 0.038074076 0.038200594 0.039157387 1174.0 9.368825 10999.0 0.02582053 0.005636876 0.004364033 0.0049095373 0.0063642147 0.004364033 0.003545777 0.0068188016 0.0070006363 0.0054550413 0.005091372 0.004364033 0.0052732066 0.0052732066 0.008818983 0.009728157 0.019365396 0.019274479 0.010819165 0.008364397 0.00790981 0.008000728 0.0075461403 0.00654605 0.009000818 0.00790981 0.008818983 0.011728339 0.010728248 0.010091826 0.0082734795 0.008818983 0.008546231 0.009000818 0.0059096282 0.012819347 0.0077279755 0.0072733886 0.006636967 0.008000728 0.0077279755 0.0068188016 0.0033639423 0.005091372 0.0072733886 0.010091826 0.0036366943 0.004636785 0.013546686 0.007182471 0.0074552232 0.0133648515 0.008637149 0.005636876 0.008000728 0.010819165 0.0050004544 0.0047277026 0.005364124 0.0049095373 0.0052732066 0.004364033 0.005636876 0.008091644 0.009182653 0.023911264 0.007091554 0.027275207 0.017274298 0.041731067 0.011910174 0.008455314 0.011455587 0.030184561 0.0062732976 0.004636785 0.020001817 0.014637695 0.022820257 0.04127648 0.015455951 0.00309119 0.03609419 0.02336576 0.045913264 0.011910174 0.008455314 0.0064551323 0.00790981 0.0082734795 0.004364033 0.004091281 0.0051822895 0.004000364 0.003273025 0.0054550413 6.2325945 0.0 11.0 0.0 7.0 254744.0 262144.0 1.0 2.0 90.0 1.0 1.0 1.0 0.0 0.0 1324806300.0 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 10.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 77824.0 1024.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.956091 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3636088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4075613 0.0 3.3826675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77535.0 0.0 1024.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 127.0 81504.0 120.0 79292.0 1024.0 94208.0 0.0 0.0 6936.0 90112.0 3084.0 98304.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 19336.0 0.0 0.0 380.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.2390976 0.015312195 0.010536194 0.005935669 0.0064697266 0.0038986206 0.009361267 0.004524231 0.0049591064 0.00390625 0.00667572 0.003211975 0.011657715 0.003829956 0.0112838745 0.0032424927 0.0026626587 0.0061798096 0.005493164 0.0049743652 0.004119873 0.0030441284 0.00554657 0.0039978027 0.005584717 0.0017089844 0.0029754639 0.0020828247 0.0032958984 0.0025177002 0.0033111572 0.0030822754 0.029304504 0.0012207031 0.001739502 0.0014572144 0.0011825562 0.0013885498 0.0033187866 0.0017242432 0.005279541 0.0015487671 0.0025253296 0.0015640259 0.0015640259 0.0019454956 0.002784729 0.0017547607 0.0030136108 0.0022506714 0.0018081665 0.0016326904 0.0015869141 0.0013275146 0.0015487671 0.0013504028 0.015983582 0.0039367676 0.0031433105 0.0014190674 0.001701355 0.0026855469 0.0020217896 0.001625061 0.0011520386 0.001991272 0.0093688965 0.002243042 0.0013046265 0.0017242432 0.0016555786 0.0016326904 0.0015335083 0.0017471313 0.0010223389 0.0013809204 0.0012359619 0.001876831 0.0014724731 0.0015640259 0.0013046265 0.0011138916 0.0013122559 0.0024871826 0.0015487671 0.0013656616 0.0015716553 0.0019378662 0.004119873 0.0038833618 0.0011672974 0.001373291 0.0013580322 0.001373291 0.0014648438 0.002456665 0.0014038086 0.004173279 0.0023498535 0.003074646 0.0022354126 0.0075302124 0.0013656616 0.0021591187 0.0020065308 0.0042495728 0.001449585 0.0014572144 0.0034332275 0.0026626587 0.0036087036 0.0061416626 0.0022735596 0.0014190674 0.004447937 0.004722595 0.0061416626 0.0030899048 0.0015182495 0.0029525757 0.0016555786 0.002571106 0.0015029907 0.0020217896 0.0017700195 0.0019454956 0.0023040771 0.0018920898 0.0028686523 0.0022125244 0.0009841919 0.0014343262 0.0010681152 0.0014038086 0.0036010742 0.0034637451 0.0032806396 0.0037231445 0.0032958984 0.0036010742 0.0032348633 0.004043579 0.0034942627 0.004096985 0.0036621094 0.0037384033 0.002998352 0.0039367676 0.0032958984 0.0034255981 0.0009841919 0.0013275146 0.0008544922 0.0012435913 0.0010986328 0.0010757446 0.0067214966 0.0016326904 0.0014953613 0.0016021729 0.0008773804 0.001121521 0.00089263916 0.0013885498 0.0008239746 0.0011672974 0.0009689331 0.0012588501 0.001121521 0.0011672974 0.0012359619 0.0014953613 0.0011520386 0.0012207031 0.001121521 0.0014190674 0.0009994507 0.001449585 0.0011520386 0.0015411377 0.0010910034 0.0011978149 0.0009994507 0.0014419556 0.0011520386 0.001411438 0.0011749268 0.0017089844 0.0012969971 0.001663208 0.0016174316 0.0016021729 0.0013198853 0.0012512207 0.038894653 0.0013275146 0.0011291504 0.0011672974 0.0012435913 0.0014572144 0.0009994507 0.0012741089 0.0010070801 0.0011825562 0.0010986328 0.0010986328 0.0013961792 0.0016021729 0.0012893677 0.0013122559 0.0010070801 0.001335144 0.0012817383 0.0016860962 0.0015945435 0.0015029907 0.0012207031 0.0015716553 0.0013198853 0.0012435913 0.001373291 0.0018539429 0.0015640259 0.0019760132 0.0016555786 0.0013885498 0.0014266968 0.0015335083 0.0014419556 0.0015487671 0.0015411377 0.0018005371 0.0016708374 0.0015029907 0.0015869141 0.0017242432 0.001625061 0.0016860962 0.0018997192 0.0055389404 0.005393982 0.0055007935 0.0016021729 0.0018386841 0.0016098022 0.0019454956 0.008094788 0.0021972656 0.0022277832 0.0018920898 0.0015258789 0.0015182495 0.0021438599 0.0017929077 0.01789856 0.041740417 0.0077625182 3.8447342e-06 1.1534203e-05 0.0 3.8447342e-06 0.0 0.0 0.0 3.8447342e-06 0.0 0.0 0.0 0.0 0.0 0.0 8.842889e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063861036 0.0 7.6894685e-06 0.0 1.5378937e-05 0.0 0.0 0.00043061023 0.0 0.0 0.0 0.0 0.0 0.0 3.8447342e-06 0.0010303888 0.0063015195 1.1534203e-05 2.691314e-05 3.8447342e-06 0.00021914985 0.0 0.0 0.00013841044 4.9981547e-05 3.8447342e-06 3.8447342e-06 0.0 1.1534203e-05 0.0 8.458416e-05 0.0010188546 0.00030757874 0.0 0.0 0.0 0.0031142347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021222932 0.010203925 0.019200603 0.00031142347 0.0007920152 0.0005075049 0.0018646962 9.227362e-05 0.0013879491 0.00086890993 8.458416e-05 3.0757874e-05 2.3068405e-05 3.460261e-05 6.920522e-05 4.229208e-05 0.0007189653 0.0054672123 0.011092058 0.00014225517 0.00019992619 8.073942e-05 0.0029181533 0.00011149729 0.00011149729 0.00076125737 0.00023837353 8.458416e-05 0.00011149729 9.6118354e-05 9.6118354e-05 8.842889e-05 0.00074587844 0.006743664 0.03210353 0.007847102 0.0032795584 0.0028105008 0.0008189284 0.00088044413 0.0014994463 0.0010188546 0.0034679503 0.0018300934 0.00021914985 0.00033064713 0.0035948264 0.00048443652 0.00022299458 0.0025836613 0.07573357 0.012664555 0.012560747 0.006932056 0.0025913508 0.0038178212 0.0051673227 0.0034410371 0.009381152 0.007577971 0.0011111283 0.001114973 0.013618048 0.0010111651 0.00089582306 0.0077356054 0.12034403 0.020434763 0.023022268 0.013610359 0.006670614 0.008262333 0.016040232 0.010146254 0.012772207 0.011576495 0.001910833 0.0018916093 0.017470472 0.0029835138 0.005559486 0.034391146 0.037240095 0.004771315 0.0069974163 0.0068897638 0.0022261012 0.0018262487 0.007997047 0.005324957 0.0050019994 0.00325649 0.0012610728 0.0011457308 0.0057017407 0.0020800012 0.0017147515 0.008927473 0.007293461 0.0016763041 0.0013802596 0.0010573019 0.00076894683 0.00088428886 0.0028181903 0.0018454725 0.0016993725 0.00076894683 0.00022299458 0.000303734 0.0017878014 0.00022683931 0.00021146038 0.00067667325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019646592 0.00032295767 0.0003268024 0.0004267655 0.0002921998 0.00027297612 0.0006036233 0.0006305364 0.00029988927 0.00036524975 0.000246063 0.00040754184 0.00038447342 0.0004690576 0.00037293922 0.00048828125 0.013641117 0.012849102 0.012053242 0.01505598 0.011595719 0.013906403 0.013898714 0.017843412 0.01315668 0.01389487 0.013464259 0.016328586 0.015136719 0.015928734 0.017132135 0.020334799 556.0 14.417266 8016.0 0.010728543 0.001247505 0.0036177645 0.0011227545 0.002994012 0.0008732535 0.0008732535 0.001497006 0.0003742515 0.000998004 0.0006237525 0.0011227545 0.0041167666 0.00499002 0.018338323 0.0013722555 0.010978044 0.007235529 0.0041167666 0.0048652696 0.0053642713 0.0046157683 0.004740519 0.0026197606 0.0038672655 0.004740519 0.0016217565 0.001746507 0.0031187625 0.0056137727 0.00249501 0.001497006 0.0008732535 0.014595808 0.00499002 0.011102795 0.0071107782 0.0067365267 0.006487026 0.004740519 0.0038672655 0.009106786 0.001247505 0.001996008 0.0033682634 0.008982036 0.0046157683 0.002994012 0.006487026 0.0006237525 0.0074850298 0.01746507 0.007984032 0.002245509 0.005489022 0.00249501 0.0016217565 0.0006237525 0.0008732535 0.0018712574 0.0006237525 0.000998004 0.0006237525 0.01272455 0.001497006 0.042165667 0.017714571 0.0254491 0.018338323 0.103043914 0.005988024 0.015718563 0.0067365267 0.04466068 0.002994012 0.004740519 0.030439122 0.025698602 0.03917166 0.04540918 0.014720559 0.0018712574 0.04927645 0.046781436 0.07909182 0.02769461 0.0068612774 0.021082833 0.006362275 0.018712575 0.002994012 0.001996008 0.000998004 0.000998004 0.0021207584 0.001497006 5.4808016 0.0 0.0 0.0 1.0 131072.0 163840.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541448800.0 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 6.0 0.0 4.0 0.0 4.0 0.0 116736.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 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 -116736.0 512.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.562877 7.3965716 3.3614812 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 -116372.0 354.0 11816.0 0.0 0.0 0.0 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 75.0 124480.0 11816.0 139264.0 0.0 0.0 0.0 0.0 12.0 155648.0 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