Input: 0.16730775 0.011687334 0.008096403 0.009925491 0.010396212 0.007679479 0.0040078545 0.0033622938 0.010342416 0.003066412 0.0032009038 0.0024880974 0.004586169 0.0040885494 0.0020039272 0.00587729 0.0039540576 0.0024208515 0.0019366813 0.0021249698 0.0032278022 0.005823493 0.0014121635 0.0016139011 0.0026898351 0.0018021895 0.0015063076 0.0020173762 0.0018021895 0.0020039272 0.0027167334 0.028135676 0.0039540576 0.001533206 0.0019232321 0.0018425371 0.0034833364 0.0018963338 0.0016542486 0.0014928585 0.0019366813 0.0012776717 0.0014794093 0.002380504 0.0018559862 0.0018290879 0.002151868 0.0014256126 0.0017214945 0.0015870028 0.0015063076 0.003442989 0.0021653173 0.0026225892 0.0016811469 0.0013449176 0.0022594614 0.0030260645 0.001385265 0.004155795 0.002151868 0.0023536058 0.002057724 0.0016004519 0.011055223 0.0030395137 0.0064959517 0.0028512252 0.0028781237 0.0076391315 0.0029184711 0.0019232321 0.0021922155 0.0020039272 0.00114318 0.0014121635 0.0019097829 0.0036850742 0.0022998091 0.0017349436 0.007033919 0.0020039272 0.001761842 0.005460365 0.0016542486 0.0031067596 0.0047744573 0.0047744573 0.0014794093 0.0013180192 0.0012642225 0.0014256126 0.0021115206 0.0028512252 0.00244775 0.0020442747 0.0016139011 0.00375232 0.0016139011 0.0027301826 0.0029453693 0.0076929284 0.0024208515 0.0022729107 0.0052451785 0.004828254 0.005917637 0.0015197569 0.0044920244 0.00260914 0.0042230412 0.0040751 0.0044920244 0.0033084971 0.0059310864 0.004613067 0.010140678 0.009885144 0.002071173 0.0020980714 0.0025822418 0.0023536058 0.001761842 0.0017349436 0.00228636 0.0036850742 0.0019232321 0.0023267074 0.003523684 0.002676386 0.0017080453 0.005137585 0.002541894 0.004344084 0.0017349436 0.0014928585 0.002071173 0.0057158996 0.0019366813 0.011243511 0.0016273502 0.0037119724 0.0016676978 0.0015197569 0.001761842 0.0016945961 0.0017483928 0.0019097829 0.0016407995 0.001761842 0.0014794093 0.0014390618 0.0018828845 0.0014794093 0.0013314683 0.0020308255 0.001761842 0.0016811469 0.0013987143 0.0013987143 0.0018694354 0.0022998091 0.0012642225 0.001533206 0.0017080453 0.0014390618 0.0013314683 0.0014928585 0.0018963338 0.0014121635 0.0011566291 0.0013718159 0.0013583667 0.0015466552 0.0016139011 0.0015601043 0.0021249698 0.0012642225 0.0012104257 0.0012507733 0.0015870028 0.001385265 0.0018694354 0.0014659602 0.002071173 0.001452511 0.0013718159 0.0014928585 0.0015063076 0.0012642225 0.0019097829 0.0018156387 0.005312424 0.0026494877 0.002528445 0.0024746484 0.0017887404 0.0011835274 0.0022056648 0.0028915727 0.0027167334 0.0017483928 0.0016945961 0.0014794093 0.0025149959 0.0013180192 0.0015735535 0.001533206 0.0021922155 0.001223875 0.0016273502 0.0021249698 0.0017349436 0.0014794093 0.0022460122 0.0016139011 0.0020039272 0.014820991 0.0012911209 0.0025822418 0.002071173 0.001452511 0.0014256126 0.0016407995 0.0023939533 0.001533206 0.0016542486 0.0026225892 0.00277053 0.00130457 0.00130457 0.0016676978 0.008768862 0.0027839793 0.0014390618 0.0037254216 0.0025687926 0.0014256126 0.0014659602 0.0014794093 0.0031202086 0.0013314683 0.00130457 0.0016676978 0.002071173 0.001223875 0.0023670548 0.002219114 0.004209592 0.0018828845 0.0013718159 0.002151868 0.003442989 0.0014659602 0.002541894 0.11230062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012207031 0.00015129842 4.1263203e-05 2.7508802e-05 1.3754401e-05 0.0 6.8772006e-06 0.0 4.1263203e-05 1.3754401e-05 4.1263203e-05 1.3754401e-05 2.0631602e-05 0.00013066681 8.9403606e-05 0.0012860366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018472161 0.0008871589 0.00020631602 0.00013066681 0.00050203566 0.00026133363 0.0006877201 0.00033698283 0.00015817562 0.00016505281 5.5017605e-05 3.4386005e-05 3.4386005e-05 0.00050891284 0.0001237896 0.0056049186 0.0035486356 0.0015955105 3.4386005e-05 0.0 2.7508802e-05 5.5017605e-05 1.3754401e-05 2.0631602e-05 3.4386005e-05 6.18948e-05 6.8772006e-06 0.0 6.8772006e-06 0.0008115097 2.0631602e-05 0.007846886 0.008335168 0.003053477 9.628081e-05 0.00021319323 6.18948e-05 6.18948e-05 6.18948e-05 0.00016505281 0.0001237896 0.000116912415 1.3754401e-05 6.18948e-05 6.18948e-05 0.0014373349 4.8140406e-05 0.014256437 0.02810712 0.007193552 0.00077712367 0.00050891284 0.00071522885 0.0007908781 0.0011072293 0.0007496149 0.0008734045 0.00050891284 0.00031635124 0.00019943881 0.00022694762 0.003528004 0.00033698283 0.024482835 0.05927459 0.018472161 0.0017055458 0.0011416153 0.0049447073 0.00235888 0.014056998 0.007227938 0.0014579665 0.0027027398 0.0020218971 0.0012860366 0.0014785981 0.00889222 0.00030259683 0.04168959 0.015301771 0.00039200045 0.0013410541 0.0015129842 0.0025514415 0.0014510894 0.009978818 0.007056008 0.0007840009 0.00019943881 0.00016505281 0.00028884242 0.00026821083 0.00024070202 0.00017880721 0.00054329884 0.013775033 0.0007908781 0.00062582525 0.00062582525 0.0014442122 0.0010384573 0.0012929137 0.002537687 0.001953125 0.00024070202 0.00019943881 0.00031635124 0.0008596501 0.0004951584 0.0007496149 0.0012241417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034894917 0.005783726 0.0025239326 0.0046696193 0.009882538 0.008176992 0.004697128 0.008775308 0.01275033 0.0016642825 0.001609265 0.0014992298 0.005928147 0.0030328454 0.008128852 0.012743453 0.04776216 0.010783451 0.007784991 0.00935987 0.01857532 0.014311454 0.00901601 0.016897282 0.019049846 0.0032047755 0.003225407 0.003803092 0.010081977 0.0052266726 0.011368013 0.020817287 0.015893212 0.016374614 0.016704721 0.016704721 0.016807878 0.016966054 0.017082967 0.017303037 0.015514965 0.017131107 0.016842265 0.017062334 0.016519036 0.01709672 0.017303037 0.016298966 346.0 14.01156 4848.0 0.015882839 0.0012376237 0.0113448845 0.002268977 0.0035066006 0.0041254126 0.0016501651 0.00082508253 0.0018564357 0.0014438943 0.0028877887 0.0014438943 0.0024752475 0.0053630364 0.010726073 0.0047442243 0.0041254126 0.0037128713 0.005569307 0.005569307 0.003919142 0.0030940594 0.0035066006 0.0020627063 0.0030940594 0.0035066006 0.0028877887 0.0010313531 0.0068069305 0.006188119 0.005569307 0.0014438943 0.0020627063 0.022689769 0.0033003301 0.013820132 0.011138614 0.0113448845 0.010107261 0.00990099 0.005569307 0.0113448845 0.00041254127 0.0033003301 0.0076320134 0.0074257427 0.0066006603 0.0047442243 0.013613861 0.0028877887 0.0070132012 0.018770628 0.006188119 0.004537954 0.0070132012 0.008250825 0.0010313531 0.0012376237 0.002268977 0.00082508253 0.0035066006 0.0028877887 0.0033003301 0.0030940594 0.0012376237 0.03939769 0.008869637 0.022483498 0.027433993 0.09591584 0.009282178 0.012788779 0.0094884485 0.04620462 0.0037128713 0.0053630364 0.040016502 0.018564356 0.03877888 0.04517327 0.014645214 0.0028877887 0.044966996 0.038985148 0.060437296 0.01938944 0.0063943896 0.007838284 0.009282178 0.011757426 0.0016501651 0.0014438943 0.0006188119 0.0016501651 0.00082508253 0.00082508253 5.6570864 0.0 1.0 0.0 1.0 74354.0 307200.0 0.0 0.0 158.0 0.0 1.0 0.0 0.0 0.0 1399838600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.304099 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0415525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.513951 0.0 3.8276389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4826.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24032.0 0.0 21960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 21960.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.03917597 0.0052569746 0.004101221 0.0043180804 0.0051821955 0.0039034716 0.0041676913 0.003917597 0.004706932 0.003913442 0.0037248326 0.0038170603 0.0043529775 0.003757237 0.0035885684 0.0052627907 0.0041411035 0.0035553332 0.0035112966 0.0035918918 0.003925075 0.0037406194 0.0036176492 0.003427378 0.0037231708 0.0034564587 0.0034988334 0.0034547967 0.003709046 0.003515451 0.0035029878 0.0034705836 0.005033468 0.0036608549 0.0035146202 0.0036849505 0.0039126114 0.003708215 0.003502157 0.0035520098 0.0035794287 0.0034165764 0.003584414 0.003791303 0.0034838775 0.0039591407 0.0036301124 0.003473907 0.004308941 0.0038544498 0.0037954573 0.0045872857 0.0036641785 0.0036517153 0.0035112966 0.0034240542 0.003763053 0.0037805017 0.0035711199 0.0040762946 0.003694921 0.0035661347 0.0037065533 0.0037539133 0.0037788397 0.0053109815 0.0037281562 0.003516282 0.0036766417 0.0044676387 0.0038353396 0.0035528406 0.0037123694 0.0034589511 0.003502157 0.003323518 0.0035669655 0.004010655 0.0035287451 0.0034988334 0.004114515 0.003631774 0.003439841 0.0038411557 0.003564473 0.0038760528 0.003866082 0.0038478028 0.0036218036 0.0038577733 0.0035279142 0.00354287 0.0035038188 0.003954986 0.003778009 0.0036691637 0.0037048915 0.004329713 0.0035827523 0.003812075 0.0037456045 0.0045066904 0.00425161 0.0036982445 0.0038220456 0.0041809855 0.0039416924 0.0036159875 0.0040247804 0.003625127 0.0040605078 0.0042009265 0.0037597297 0.0033717088 0.004200096 0.0043122643 0.0052569746 0.004791682 0.0036915974 0.0037680385 0.0035893994 0.00354287 0.0035038188 0.003468091 0.003562811 0.0035877374 0.003585245 0.0036758108 0.003825369 0.0037165238 0.003557826 0.004942902 0.0036841196 0.0046288297 0.0035179437 0.003542039 0.0037655458 0.004598918 0.0035827523 0.0067508956 0.0035528406 0.0043936907 0.0034863702 0.0034365174 0.0034456572 0.0034016205 0.0034174072 0.0034697526 0.0035029878 0.0033982971 0.0034647675 0.0034863702 0.003446488 0.0037489282 0.0033924808 0.0034730763 0.003453135 0.003412422 0.003301084 0.0035611494 0.003563642 0.0034016205 0.0033750325 0.0034872012 0.0035046495 0.003433194 0.0035129583 0.003336812 0.003556995 0.00346726 0.0035677964 0.003488032 0.003605186 0.0033949735 0.0034215616 0.0035171127 0.0035204364 0.0035769362 0.0034282086 0.0033733707 0.0035328995 0.0035029878 0.003824538 0.003556995 0.0036766417 0.003447319 0.0034307013 0.0033933118 0.0034282086 0.0034614438 0.003488032 0.0035470244 0.004571499 0.00408128 0.0037323106 0.0039716037 0.0036866122 0.003453966 0.0037755163 0.0038228764 0.0038478028 0.003978251 0.0034140837 0.0035320686 0.004065493 0.0035187746 0.0035353922 0.0034822158 0.0036783034 0.003494679 0.0035827523 0.0033991279 0.0035320686 0.0033343192 0.0034705836 0.0034514733 0.0037273252 0.0036110021 0.0034614438 0.0035470244 0.0034631055 0.0036002006 0.003390819 0.0034830468 0.0038444793 0.0035819213 0.0035146202 0.00339165 0.003625127 0.0036691637 0.0036708254 0.0037439428 0.0049121594 0.0036575315 0.003515451 0.004067986 0.003960802 0.0034431645 0.0034913556 0.0034157455 0.003969942 0.0034689219 0.0034099293 0.003468091 0.0036766417 0.0034307013 0.003756406 0.0038303544 0.004249118 0.0035669655 0.0035378847 0.0034921863 0.004121162 0.003640083 0.003922582 0.0100096045 0.0051107327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007087149 1.2893287e-05 1.2893287e-05 1.3309199e-05 1.1229637e-05 1.0813725e-05 1.4141025e-05 7.4864247e-06 1.0397812e-05 5.4068623e-06 7.9023375e-06 9.565987e-06 4.575037e-06 7.4864247e-06 4.99095e-06 9.9819e-06 0.0031405552 8.2766586e-05 0.00012810105 4.824585e-05 9.8571254e-05 5.65641e-05 0.00024081333 0.0001534717 4.5750374e-05 2.537066e-05 3.2857086e-05 2.6618398e-05 3.6184385e-05 4.4086722e-05 6.363461e-05 3.535256e-05 0.0020566871 4.32549e-05 0.00026909538 2.2043361e-05 0.00016220586 6.98733e-05 0.00046207875 0.00029862515 1.4972849e-05 1.2477375e-06 1.2477375e-06 4.575037e-06 0.0 4.1591247e-07 0.0 8.3182493e-07 0.0060744015 0.00012269418 0.00083182496 0.0004965995 0.00035726881 0.00017967419 0.0018990564 0.00085927517 2.0379712e-05 1.3309199e-05 4.0759423e-05 4.2838987e-05 5.3236796e-05 1.8300148e-05 3.1193435e-05 3.2441174e-05 0.004823753 0.00012186236 0.00078524277 0.0003834713 0.00027075902 0.0001667809 0.0013812453 0.0006858397 4.866176e-05 5.032541e-05 9.64917e-05 0.00016886047 0.00013641929 5.9059574e-05 8.775753e-05 0.000103146296 0.0050254706 0.0002603612 0.00047746752 0.0003331459 0.0007536334 0.0002466361 0.0011724572 0.000736581 0.0002458043 0.00012768513 0.0003061116 0.0002828205 0.0002499634 0.00014390572 0.000541934 0.0010210652 0.0016407748 0.00014473754 0.0001667809 0.0013812453 0.0003364732 0.00019839025 0.0005190588 0.00036849847 0.00015097624 0.0001131282 0.00016262179 0.000111048634 0.00019589478 0.00016054221 0.00015097624 0.00016137405 0.0027662339 0.0004271421 0.0003427119 0.00069873297 0.00032732313 0.00026119302 0.00050491776 0.00051531557 0.0011079909 0.00034437553 0.00017801054 0.00033480953 0.0006538144 0.00014307389 0.0005427658 0.001924843 0.00990662 0.0015076827 0.0011296183 0.0019310816 0.002299996 0.002185204 0.0012652058 0.0020999422 0.004994277 0.00060432084 0.0005294566 0.0009927831 0.0028390186 0.00090419373 0.0022205568 0.004624115 0.007607039 0.0017073207 0.0012951514 0.0018096352 0.0024634497 0.002821966 0.0016303769 0.0022679707 0.0046869176 0.00050159043 0.00060432084 0.0007195286 0.0027375359 0.0015101782 0.0024027263 0.0044165747 0.0539792 0.05341938 0.05405157 0.053596146 0.053400666 0.05344933 0.05402495 0.053677663 0.05368598 0.053619437 0.053703867 0.053530432 0.05360155 0.05327007 0.053489674 0.053251356 5499.0 6.702855 36859.0 0.021107463 0.0074879946 0.009170081 0.008790255 0.010390949 0.008410429 0.0077864295 0.008953038 0.009034429 0.008383298 0.008573212 0.007623647 0.008464689 0.009902602 0.011421905 0.009658428 0.014433381 0.013836512 0.01044521 0.011394775 0.010662253 0.009712689 0.009251472 0.009956863 0.010255298 0.010119645 0.009441385 0.01041808 0.010960688 0.008464689 0.009821211 0.009414255 0.009468515 0.010363819 0.008329038 0.010743645 0.009522776 0.008546081 0.009577037 0.008871646 0.009468515 0.008763124 0.0082476465 0.006972517 0.009631298 0.008763124 0.009034429 0.008518951 0.010607992 0.007922081 0.008844515 0.011259123 0.009902602 0.00849182 0.008925906 0.009956863 0.009956863 0.008030603 0.008817385 0.007623647 0.008030603 0.009332863 0.00849182 0.009685558 0.009712689 0.016251119 0.009577037 0.015898423 0.013212512 0.022545375 0.009929732 0.0109335575 0.010797906 0.015735641 0.008980168 0.007894951 0.01437912 0.012127296 0.0144605115 0.01690225 0.011855992 0.007650777 0.019018421 0.014948859 0.022084158 0.0122358175 0.00911582 0.0104723405 0.009197211 0.010228166 0.008681733 0.008681733 0.008301907 0.0073252125 0.008193386 0.008220516 6.531592 1.0 25.0 0.0 24.0 1203544.0 1204224.0 1.0 0.0 99.0 1.0 1.0 1.0 0.0 0.0 1499998100.0 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 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -78336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 990208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9795194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2995358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4010804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.01814 0.0 7.9821525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 990168.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 990168.0 131072.0 0.0 0.0 19288.0 1110528.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.18005273 0.0051816236 0.0031143937 0.002511234 0.0034374392 0.002267848 0.0025701625 0.0021893312 0.0031254939 0.0017456537 0.0026232144 0.0016308982 0.0024467555 0.002534087 0.0019302744 0.0024412053 0.0024454496 0.0016917855 0.0016349792 0.0020567828 0.0025951376 0.0037694627 0.0016743192 0.0015094501 0.002336244 0.001618982 0.001738308 0.001486597 0.0021317084 0.001692112 0.001649344 0.0015213664 0.024538072 0.0019921411 0.006463848 0.0017458169 0.010323744 0.0028550106 0.0031937268 0.0015639712 0.0054767556 0.0048179324 0.0013574767 0.002060864 0.010271018 0.007757663 0.015530996 0.00255188 0.012713693 0.015874445 0.015010924 0.013969311 0.012722671 0.013656059 0.011290269 0.0110171735 0.011667346 0.011207181 0.0032748554 0.0029513203 0.0030430593 0.0058722785 0.0028648048 0.0027304608 0.004112913 0.0023982741 0.0019340288 0.0031421438 0.004599685 0.0021197922 0.0017508772 0.001519734 0.0022884158 0.0016563631 0.0015788258 0.0014469305 0.0043541766 0.0031267996 0.0021640295 0.0023081675 0.004623191 0.0029317318 0.0019874072 0.002256911 0.0022596861 0.0016846032 0.002192106 0.0017334109 0.0021927592 0.0032764878 0.0021013466 0.0021139157 0.0018928932 0.0021008567 0.0017587126 0.0021294232 0.0015915582 0.0067204563 0.0020083017 0.0047926307 0.0046215584 0.011359318 0.0036898032 0.0033595753 0.005338494 0.0074439216 0.0025398005 0.002165825 0.0057591554 0.0029196523 0.00847721 0.0067018475 0.004077327 0.0029780911 0.007883518 0.007308435 0.013902873 0.004895143 0.003075217 0.0023788488 0.0024345126 0.0027017312 0.0018316794 0.002380808 0.0023086572 0.00247875 0.0013808196 0.0013373985 0.00242227 0.0014712528 0.0013145454 0.0030078 0.0035556227 0.0018178043 0.0013849004 0.001312913 0.0014529702 0.002531965 0.0014049786 0.0059565087 0.0021783942 0.006657121 0.0013519267 0.0013261352 0.0017103945 0.0015261002 0.0013119336 0.0014821895 0.001737655 0.0015367107 0.0015344253 0.0017105577 0.0060830167 0.0013137292 0.0013424589 0.0013153616 0.0015623388 0.0013031189 0.0013189529 0.0013842476 0.0017339006 0.001873468 0.0012765112 0.0014441554 0.0015241414 0.0012926717 0.0013369089 0.0012765112 0.0016566897 0.0012510463 0.0012102372 0.0012317845 0.0014284847 0.0015600534 0.0013566605 0.0012469654 0.0014423598 0.0012386404 0.0012365183 0.0014368098 0.0015034104 0.0013060571 0.0015566255 0.0012270506 0.0016209407 0.0015261002 0.0015150001 0.0012579022 0.0015672359 0.0012619832 0.0013003439 0.001259698 0.0028226897 0.00152659 0.0016416719 0.0020131986 0.002345059 0.0012830407 0.0031888296 0.0023060453 0.0019728793 0.0013871858 0.0012740627 0.001417058 0.047915697 0.001325972 0.0016366115 0.0014963911 0.0015621756 0.0012350491 0.0013387045 0.001574908 0.0014213022 0.0013602517 0.0017007636 0.001594823 0.0014833322 0.00122803 0.0012634523 0.0013622106 0.0013919197 0.0012250917 0.0012374977 0.0012920188 0.001997691 0.001240436 0.0011815075 0.0013060571 0.0021428086 0.0012667171 0.0012634523 0.0014394216 0.0026953649 0.0022559317 0.0012033812 0.001576214 0.0018537163 0.0012719407 0.0012482713 0.0014896984 0.0021073862 0.0013999182 0.0013537223 0.0014261993 0.0014753336 0.0015554829 0.0014366466 0.0025358826 0.0018053983 0.0015641344 0.0013891446 0.0021514602 0.0017304727 0.0016780737 0.0022371595 0.014318637 0.12775204 2.4491618e-07 0.0016564499 8.163873e-08 4.8983236e-07 2.4491618e-07 8.163873e-08 8.163873e-08 2.4491618e-07 5.714711e-07 8.163873e-08 8.163873e-08 0.0075224377 8.163873e-08 0.0 4.0819364e-07 0.0003248405 6.5310985e-07 1.1429422e-06 1.224581e-06 1.0613035e-06 2.449162e-06 5.8779888e-06 2.3675232e-06 1.6327746e-06 7.347486e-07 2.4491618e-07 4.0819364e-07 0.00032369758 1.6327746e-07 8.9802603e-07 1.3878584e-06 0.000620536 4.4901303e-06 6.3678212e-06 2.6940781e-06 4.8166853e-06 3.1839106e-06 8.082235e-06 4.000298e-06 5.7147113e-06 3.7553816e-06 1.8776908e-06 1.8776908e-06 0.0001547054 1.224581e-06 2.6940781e-06 9.959926e-06 0.0008958218 5.094257e-05 0.012324264 0.05260473 0.0013558561 0.00013976551 0.00011633519 5.5514338e-05 2.0246405e-05 6.4494598e-06 3.6737429e-06 2.8573556e-06 0.00044901302 4.898324e-06 4.571769e-06 1.38785845e-05 0.00081393815 1.1429423e-05 0.0018171965 0.0055365753 0.00016654302 2.6369311e-05 0.00016009355 7.5352546e-05 2.0246405e-05 1.1102868e-05 2.2042457e-06 4.8166853e-06 0.000508446 8.735345e-06 5.469795e-06 2.7267337e-05 0.0014416584 2.6369311e-05 0.004580341 0.009424211 0.00020989317 6.482115e-05 0.00076568965 0.0010226067 3.1104355e-05 1.738905e-05 1.34703905e-05 7.592402e-06 0.00053399894 1.1347784e-05 1.7960521e-05 5.592253e-05 0.0053103548 0.0001536441 0.014433973 0.026824364 0.0006224953 0.0001916061 0.0028007799 0.00424252 0.00012662167 0.00024205884 7.510763e-05 7.078078e-05 0.00120311 4.13092e-05 4.0329534e-05 0.00046762664 0.0070167673 0.0003028797 0.0068896557 0.004403103 0.0011889049 0.00072723784 0.011164096 0.0071319593 0.0001357652 0.00026908127 7.592402e-05 0.00010237497 0.000683806 9.070063e-05 9.943597e-05 0.0006813569 0.006813487 0.00026197868 0.019867357 0.011522083 0.0022355134 0.0028018414 0.026726725 0.017528081 0.00013641833 0.00020336208 0.00015544014 0.000116661744 0.00064796663 0.00010098711 8.816983e-05 0.0005782471 0.00497286 0.0002695711 0.004270277 0.0034911986 0.0035273647 0.0027300809 0.008406013 0.0048660766 0.00030630853 0.00022491471 0.000110212284 0.00011274309 0.0014927642 9.0863905e-05 9.9925805e-05 0.00030720656 0.003267672 0.0004126838 0.001085387 0.0010671815 0.0019032437 0.0015174191 0.0031816247 0.001843729 0.00037651783 0.00021046466 0.0001279279 0.00011315128 0.0020456216 9.649698e-05 0.0001492356 0.00032443233 0.006505872 0.0018312384 0.00248892 0.009896411 0.0015525237 0.0016529394 0.0015440333 0.0014318617 0.0019310009 0.0012811566 0.0009570508 0.00087508553 0.005818147 0.0008337764 0.0016571846 0.0023778097 0.011408931 0.0036294947 0.0051394845 0.0026623206 0.0029520565 0.0029829158 0.0015560342 0.0019092034 0.005210347 0.0020860329 0.0009044755 0.00076544477 0.015100961 0.0007092773 0.0016535108 0.005365624 0.018671267 0.004377469 0.008412055 0.0028123728 0.005646461 0.0054843267 0.0032941229 0.0034299695 0.010640548 0.0041712495 0.0017410276 0.0014667214 0.019180203 0.0017187402 0.0028188222 0.008625867 0.0049082837 0.0026836284 0.0021822848 0.0013210779 0.0017181687 0.0015819953 0.0017144134 0.0016380812 0.0026675456 0.0016965345 0.0010992655 0.00082977605 0.0018983454 0.0008216122 0.0008458589 0.0034916068 0.019046724 0.017531183 0.017354272 0.018316874 0.01741052 0.017328147 0.018045017 0.018173598 0.017537061 0.017749403 0.017430114 0.017785324 0.017999055 0.017741239 0.017948683 0.017839368 24234.0 77.91821 1888270.0 0.07352762 0.0023026369 0.016160294 0.0014039306 0.0026442192 0.00071758806 0.004496179 0.00088122993 0.0119289085 0.011744613 0.0006212035 0.0020272525 0.026825083 0.021314219 0.046131644 0.003443893 0.034686778 0.046450984 0.043143194 0.038059704 0.034310773 0.03864225 0.031160798 0.030818157 0.031519856 0.031190455 0.0056363763 0.0040587415 0.0039480585 0.014017593 0.004092635 0.003979304 0.0056279027 0.0032680708 0.0019186875 0.006289355 0.0022724504 0.0025933792 0.00145583 0.0010040937 0.001446827 0.0013123123 0.0007594253 0.0008817595 0.003057296 0.0035159166 0.0012434663 0.001216987 0.002271921 0.0030091035 0.0013790401 0.0029238404 0.0019054478 0.0014176999 0.0019986548 0.0011942148 0.0013213153 0.00085580983 0.0020606164 0.0028136866 0.0013499128 0.0028359292 0.0006979934 0.0023561248 0.000531174 0.017824251 0.0027840298 0.011528012 0.009271449 0.03271513 0.007893998 0.006715671 0.009217432 0.020016735 0.0014028715 0.0025187077 0.013897907 0.0052105896 0.023659222 0.017945526 0.008203276 0.005740175 0.020881018 0.0146885775 0.036224164 0.010577937 0.006003379 0.0034216505 0.0032606565 0.0045756167 0.0021458797 0.0038908632 0.002549953 0.0038977477 0.00034105292 0.0003241062 5.6130214 37.0 410.0 1.0 38.0 6126072.0 6152192.0 1.0 0.0 1816.0 1.0 1.0 1.0 0.0 0.0 1545227500.0 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 12.0 0.0 6.0 0.0 6.0 0.0 1127936.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -129536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4625408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1127936.0 -107008.0 120320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.147648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.650296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7666283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4366927 -5.4805984 6.7971087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4625218.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1127492.0 -106612.0 120054.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 2.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 -3.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 2.0 1.0 -2.0 2.0 -2.0 -2.0 2.0 -1.0 1.0 2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 -1.0 -1.0 0.0 -2.0 2.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -3.0 0.0 3.0 0.0 1.0 1.0 1.0 1.0 0.0 -3.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 3.0 1.0 -1.0 -1.0 1.0 0.0 1.0 2.0 1.0 2.0 -2.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 -2.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 2.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 4.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 -1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 2.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -3.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 -1.0 -3.0 -2.0 2.0 -1.0 -2.0 1.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 2.0 2.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -8.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -2.0 3.0 1.0 0.0 -1.0 2.0 0.0 1.0 -1.0 4.0 -5.0 0.0 1.0 0.0 -3.0 2.0 0.0 -2.0 0.0 0.0 1.0 4.0 -2.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 2.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 2.0 3.0 1.0 1.0 -1.0 2.0 0.0 1.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 3.0 0.0 0.0 1.0 5.0 0.0 1.0 3.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 1.0 -1.0 -2.0 2.0 1.0 -2.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 -3.0 1.0 1.0 -3.0 -1.0 2.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -3.0 -2.0 -1.0 2.0 1.0 -1.0 -2.0 1.0 1.0 -1.0 -2.0 2.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 -4.0 2.0 -1.0 -1.0 1.0 0.0 -3.0 2.0 0.0 -1.0 2.0 -3.0 -1.0 3.0 1.0 -2.0 -1.0 1.0 1.0 -1.0 1.0 2.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 3.0 -1.0 1.0 1.0 0.0 -1.0 4.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 -1.0 0.0 -1.0 -1.0 -2.0 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 1.0 -2.0 -2.0 -1.0 2.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 3.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 2.0 2.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 2.0 -2.0 2.0 0.0 -2.0 2.0 1.0 0.0 2.0 -1.0 2.0 0.0 3.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 5.0 1.0 -3.0 -3.0 2.0 2.0 1.0 -1.0 -4.0 -3.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 2.0 0.0 -1.0 1.0 2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 2.0 -1.0 2.0 -1.0 -1.0 2.0 0.0 -5.0 0.0 1.0 1.0 -3.0 0.0 1.0 0.0 -3.0 3.0 -2.0 2.0 0.0 1.0 -1.0 1.0 -1.0 -2.0 -2.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 -3.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 1.0 -4.0 2.0 -1.0 -1.0 -1.0 -2.0 1.0 2.0 0.0 -1.0 0.0 2.0 0.0 -3.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 2.0 -1.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 -1.0 1.0 1.0 0.0 0.0 4.0 0.0 1.0 2.0 1.0 3.0 0.0 -2.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 1.0 1.0 -3.0 1.0 -3.0 0.0 -1.0 1.0 2.0 2.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 -1.0 -2.0 1.0 2.0 0.0 0.0 0.0 4.0 -2.0 1.0 0.0 -1.0 1.0 0.0 1.0 -3.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -3.0 2.0 -1.0 2.0 0.0 -1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 0.0 2.0 1.0 0.0 3.0 1.0 -1.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 2.0 -2.0 -2.0 -1.0 0.0 -3.0 2.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -2.0 -1.0 -2.0 0.0 3.0 0.0 -2.0 -2.0 -1.0 0.0 2.0 0.0 1.0 2.0 -2.0 0.0 -1.0 0.0 -1.0 -3.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 5796992.0 120054.0 5898240.0 0.0 0.0 7672.0 6118400.0 105840.0 6021120.0 56.0 1140528.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5610064.0 0.0 0.0 9344.0 5787648.0 0.0 0.0 0.0 0.0


Input: 0.056675028 0.008303529 0.0061704363 0.005660979 0.005755208 0.0049692774 0.0042030206 0.0054248893 0.0050490093 0.005628879 0.0037577634 0.004472246 0.004955816 0.00316961 0.00432003 0.004648278 0.0050365836 0.0037691537 0.004936142 0.0041553886 0.0043428107 0.0031768582 0.004102579 0.0038499215 0.0050686835 0.0033487482 0.0031602904 0.0029366266 0.004158495 0.0034367642 0.0037919343 0.0037960764 0.006163188 0.0038157506 0.0034823255 0.0030298198 0.0049030064 0.0041595306 0.0038416376 0.003722557 0.004723868 0.0038954825 0.003337358 0.0030960906 0.0043686978 0.0037339474 0.0037235927 0.0035806962 0.0055180825 0.003938973 0.0031043745 0.002911775 0.0036801023 0.0030702036 0.002681898 0.0028610362 0.0041709207 0.0033093998 0.0035258157 0.0033580675 0.0040042084 0.003217242 0.0035082125 0.0034554028 0.006593948 0.0039462214 0.0036159025 0.0032162066 0.004152282 0.0032203484 0.0035382414 0.003071239 0.0050003417 0.0037732958 0.003704954 0.0035910509 0.0041243243 0.0031219777 0.003558951 0.0034688641 0.005159806 0.0036272928 0.0036573217 0.0033321804 0.0039296537 0.003378777 0.0033663514 0.0035382414 0.004650349 0.0036417895 0.0038033247 0.0035071769 0.004110863 0.0033849902 0.0036863154 0.003788828 0.00591053 0.0036262574 0.0033404643 0.002963549 0.004001102 0.003049494 0.0032628032 0.0030205005 0.004971348 0.0031654679 0.0031986034 0.0030536358 0.0035755187 0.0028361848 0.0030878067 0.003193426 0.0045115943 0.0032845484 0.003221384 0.0031375098 0.003894447 0.0033280386 0.0032886902 0.0036283282 0.0046213553 0.0032897256 0.0034843963 0.0031706453 0.0040300954 0.0031923905 0.003464722 0.0033446064 0.008647309 0.0046006455 0.0040114564 0.0035227092 0.0043707686 0.0034377996 0.0030184295 0.003391203 0.004540588 0.0038312827 0.0029521587 0.0031892841 0.003730841 0.0027968364 0.0028506815 0.002989436 0.005229183 0.0032058517 0.003503035 0.0030267134 0.0036614637 0.0031799646 0.0033042226 0.003255555 0.0045416234 0.0028382556 0.0030443165 0.0027026075 0.003511319 0.0032307033 0.002991507 0.0031520068 0.0050065545 0.0034077708 0.0032638386 0.0028009783 0.0037784732 0.003013252 0.0030619197 0.0031861775 0.0041408916 0.0030039328 0.0031209423 0.003015323 0.0036438606 0.0028320428 0.0029179878 0.003025678 0.004665881 0.0031136938 0.0038416376 0.0028662137 0.0035672348 0.003159255 0.0029935779 0.0031188712 0.0042496175 0.0031447583 0.0033352869 0.0031810002 0.0036511088 0.0031944613 0.0033301096 0.003354961 0.0067233834 0.0040570176 0.0037235927 0.003337358 0.004117076 0.0032545193 0.003303187 0.0032265612 0.004336598 0.003333216 0.0031157648 0.0030898778 0.0036459316 0.0029904714 0.0030764164 0.0027958008 0.004240298 0.003271087 0.0030940196 0.0030008263 0.0037153088 0.0030339616 0.0029418038 0.0029480166 0.003980392 0.0031085163 0.0027305656 0.002632195 0.0035237446 0.0029480166 0.0035765541 0.0028921007 0.004968242 0.0032400226 0.0034036287 0.0029811522 0.0038053957 0.0030764164 0.0031965324 0.0029076329 0.004434969 0.00544767 0.003464722 0.0031385454 0.0037940054 0.0030898778 0.0032524483 0.0031892841 0.0046151425 0.0033280386 0.003419161 0.0030370683 0.0037380895 0.0030950552 0.0033145773 0.0032441646 0.00435213 0.0030360327 0.003183071 0.0028662137 0.0040114564 0.0030888424 0.0042195884 0.0045147007 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 0.099217504 0.062017422 0.062466826 0.055321954 0.06056968 0.05955528 0.054923866 0.0544615 0.060472753 0.05314957 0.05213154 0.05297385 0.056438472 0.05056873 0.056687277 0.05384208 4016.0 5.7034364 22905.0 0.017114168 0.010434403 0.009342939 0.008644401 0.013446846 0.012486356 0.01178782 0.011482209 0.012530015 0.009823183 0.008469766 0.008600743 0.013883431 0.01052172 0.01178782 0.009997817 0.016764898 0.011875137 0.008775377 0.007552936 0.009823183 0.008469766 0.007814888 0.00833879 0.010303427 0.008469766 0.009648548 0.008862694 0.0115258675 0.008950011 0.0097358655 0.009211962 0.018074656 0.0108709885 0.010390745 0.009037328 0.010914647 0.008819035 0.010696354 0.008295132 0.014320018 0.011613185 0.009779524 0.008950011 0.011482209 0.009342939 0.011700502 0.009561231 0.014800262 0.00960489 0.009954158 0.008993669 0.012093429 0.009386597 0.009561231 0.009823183 0.013708797 0.009211962 0.010565379 0.009561231 0.011132941 0.009866841 0.010390745 0.010696354 0.01794368 0.011001965 0.009692207 0.008207815 0.013097577 0.008251473 0.009386597 0.00833879 0.015455141 0.009299279 0.008906352 0.00868806 0.011351233 0.007989522 0.0099105 0.007858546 0.013272211 0.008033181 0.008775377 0.008819035 0.011394892 0.009386597 0.008251473 0.007858546 0.0108709885 0.008819035 0.011918795 0.0085134255 0.011307575 0.008993669 0.009954158 0.008775377 6.5545225 0.0 0.0 0.0 14.0 965734.0 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: 0.13697861 0.0114608025 0.010087421 0.004864616 0.0052789925 0.0034957044 0.007486873 0.004279125 0.0036712876 0.0037740837 0.007974675 0.0036846958 0.0029338377 0.0033986545 0.0034267479 0.0027780475 0.0027812398 0.004021177 0.0031119748 0.0035116663 0.0027333535 0.0029549077 0.0039713755 0.0037089582 0.0027480386 0.0032613804 0.0029600156 0.0031585842 0.003020033 0.0031604997 0.0027831553 0.003258188 0.0044559855 0.002688021 0.0026931288 0.0024632744 0.0020278278 0.002601187 0.0028201872 0.002686744 0.0038558098 0.002054644 0.0029025518 0.0033852465 0.003026418 0.0032300947 0.0045511196 0.0026905749 0.0028680738 0.0026605662 0.0026369423 0.0027071754 0.0023202538 0.0030430185 0.0029798085 0.00396116 0.0026944058 0.0031988088 0.0030155636 0.002964485 0.0028176333 0.0031362374 0.0032869198 0.003062173 0.003756206 0.0034880424 0.0030372723 0.0031209136 0.002478598 0.0029504383 0.0026452425 0.0027307994 0.0020725217 0.0027282455 0.0027256915 0.003051319 0.0024811518 0.0029529922 0.0031138903 0.0030193946 0.003072389 0.0021255158 0.0021765947 0.0032090247 0.0026541813 0.0026107642 0.0027691086 0.0035027277 0.0021759563 0.0027876247 0.002395595 0.003867941 0.0046181604 0.00407481 0.0028029482 0.004185906 0.0028463653 0.0039598825 0.0025481929 0.0037338592 0.0030283334 0.0062539587 0.0027920941 0.003233287 0.0024600818 0.0041297195 0.0025724552 0.0036987425 0.00426444 0.0044579008 0.0065329764 0.010390702 0.005114902 0.005524809 0.007416001 0.005693369 0.006651096 0.004199953 0.003582538 0.0038538943 0.002954269 0.003151561 0.0029861934 0.0044885483 0.0031643307 0.0037645064 0.005588657 0.0030123712 0.0061345617 0.0033424678 0.0024837058 0.0028048637 0.0033290598 0.0022449126 0.0024485893 0.0024779595 0.002224481 0.001955679 0.0021906414 0.002773578 0.0023751634 0.0026931288 0.003066004 0.0027920941 0.0030481264 0.0024664667 0.0020488978 0.0027863476 0.0016913463 0.0026401347 0.002686744 0.0037549292 0.0023081226 0.00236814 0.002306207 0.0035135818 0.0028757355 0.0025360617 0.0028878667 0.0029938552 0.0033635378 0.002649712 0.0022161808 0.0025488313 0.0016798535 0.0025047758 0.0021778718 0.002888505 0.0024262422 0.0022525743 0.002601187 0.0032128554 0.002628642 0.0030666424 0.005249622 0.0032639343 0.002818272 0.0045166416 0.0026995137 0.0024600818 0.0020457052 0.0031509225 0.0031962548 0.004472586 0.0044885483 0.0058204276 0.004155259 0.0040556556 0.0026695048 0.003986699 0.0031132519 0.0028093331 0.004512172 0.0022800292 0.0021108307 0.0024517816 0.002323446 0.0026311958 0.0026924904 0.0034708034 0.0035595528 0.002706537 0.0026771668 0.003502089 0.0024243267 0.0047075483 0.0027767704 0.0034554796 0.0037651449 0.0025679858 0.003491235 0.0025315923 0.0022602363 0.0027499541 0.0029338377 0.0039803144 0.003025141 0.0027435692 0.0029996017 0.0040205386 0.005372211 0.003953498 0.0038545327 0.0030653656 0.0040645944 0.002691852 0.0026771668 0.0034497334 0.003953498 0.0034101473 0.0031809313 0.004893986 0.0036642642 0.002769747 0.0025494697 0.0036802264 0.0029287299 0.0034880424 0.004316157 0.0035052816 0.0029874705 0.0026969598 0.0024536971 0.0027876247 0.0024530585 0.0028284877 0.0032613804 0.0044930177 0.0029759777 0.0026120413 0.0025443619 0.0037504598 0.002666951 0.0030372723 0.0036649026 0.012889731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004515004 4.026403e-05 2.3647128e-05 4.3779142e-05 7.2219605e-05 1.981246e-05 2.4605795e-05 4.4418255e-05 4.473781e-05 9.267118e-06 5.2087595e-05 1.1823564e-05 3.5151138e-06 5.1128927e-06 1.4699566e-05 0.00031060824 0.008685207 9.043429e-05 4.6016034e-05 9.9381854e-05 0.00011983342 4.5057368e-05 5.6561374e-05 0.00018598147 9.714496e-05 3.483158e-05 0.000101299185 6.614805e-05 1.1184453e-05 1.0545341e-05 2.7801354e-05 0.0007937766 0.007820808 7.509561e-05 6.8704496e-05 0.00010577297 0.0002668291 6.806538e-05 8.436273e-05 0.00018885748 0.0001930117 5.9437378e-05 0.00021729794 6.423071e-05 3.9305363e-05 2.6842687e-05 5.9437378e-05 0.00047869456 0.005292483 0.00015658233 5.8159156e-05 0.000111205416 0.00015498456 5.176804e-05 0.0001648908 0.00023295617 0.000105133855 5.2726704e-05 0.00014635656 9.1712514e-05 5.176804e-05 3.3233802e-05 0.0001105663 0.00038442563 0.018719578 0.00077172724 0.00075255387 0.0005001048 0.0017828018 0.0013501232 0.0069931587 0.0039915713 0.0003751585 0.00021601972 0.00037963229 0.00027481798 0.00016233434 0.00019812459 0.00033936824 0.00115104 0.032611627 0.0020982034 0.0026248312 0.0009679345 0.0019742157 0.0014127562 0.0075677205 0.0046792557 0.0009919011 0.00044482166 0.0005969302 0.0005026613 0.0005442035 0.00051512395 0.0005189586 0.0015038296 0.03490348 0.0036978996 0.0030332236 0.0013188068 0.0014894495 0.0010225786 0.004492635 0.0038279588 0.0011766044 0.0006611609 0.001082655 0.0008580073 0.0009944576 0.0010094767 0.00093022693 0.002328603 0.01871127 0.0012954791 0.0008286082 0.00095163716 0.0010455865 0.00062281423 0.0015028709 0.0022730003 0.000979119 0.00052119547 0.0008500184 0.00083947304 0.0009787994 0.0008171042 0.0008522553 0.002271083 0.014292772 0.0013299912 0.0007698099 0.0009960554 0.0013568338 0.0009513176 0.0013651423 0.0021323957 0.0008826131 0.0005132066 0.0007867464 0.0010363194 0.0009756038 0.0009462047 0.0008794175 0.002199183 0.010647918 0.0011545551 0.0006713867 0.00067809736 0.0010622034 0.0009062602 0.0010024465 0.0022023786 0.00086951134 0.00041542252 0.00079856993 0.0013041071 0.0012590499 0.0011651004 0.0012970769 0.0027072767 0.0023966685 0.0004930746 0.00037547806 0.00029143487 0.00031987534 0.00045600612 0.0004055163 0.0003230709 0.00025532508 0.00019780504 0.00027481798 0.00034032692 0.00024350152 0.00022752372 0.0002754571 0.0003230709 0.0026666932 0.0005298235 0.0005224737 0.0007193201 0.00050649594 0.00058734353 0.0009369376 0.00096761493 0.00048700304 0.00053078216 0.00054612086 0.00040583586 0.00044290433 0.000698549 0.00053749286 0.0006947143 0.053886373 0.03944341 0.038309947 0.040589657 0.036233153 0.041577086 0.042259336 0.050107628 0.038919657 0.039296415 0.038941707 0.05071734 0.042622034 0.047712237 0.049433365 0.043013487 6450.0 10.214264 65882.0 0.017485809 0.0040678787 0.0031571598 0.003324125 0.001882153 0.0020946541 0.003415197 0.0033544824 0.0046598464 0.0033696608 0.0025196564 0.003931271 0.006602714 0.0054946723 0.016605446 0.004978598 0.007938435 0.005813424 0.004553596 0.005874139 0.0054794936 0.0055402084 0.004796454 0.00799915 0.0024437632 0.005646459 0.0026866216 0.0049634194 0.0038705564 0.006815215 0.003415197 0.003885735 0.0038705564 0.009365229 0.011520597 0.014480434 0.010184876 0.00563128 0.0077562914 0.006587535 0.0029598372 0.010852736 0.002185726 0.0044169878 0.0063598556 0.010108983 0.0070125377 0.007073252 0.00991166 0.004022343 0.0068455725 0.015284903 0.011277739 0.004401809 0.007968793 0.007938435 0.002580371 0.005282171 0.0034759114 0.0050848485 0.006208069 0.003931271 0.0041285935 0.02671443 0.0031875172 0.03175374 0.009092013 0.017258128 0.015133116 0.07024681 0.008272366 0.017713487 0.008970584 0.033408213 0.0034759114 0.010488449 0.028308187 0.018654564 0.036474302 0.042894874 0.014450077 0.0042652013 0.036975197 0.032133207 0.056479767 0.023117088 0.007042895 0.01126256 0.007725934 0.012097387 0.0045687743 0.0058893175 0.0041893083 0.004675025 0.0024437632 0.0032634104 5.986428 0.0 1.0 0.0 9.0 1566208.0 1589248.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1546019300.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 1525248.0 512.0 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 -1525248.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.420483 0.0 6.266601 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 -1525220.0 0.0 39748.0 0.0 0.0 0.0 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 1533220.0 39748.0 1540096.0 0.0 0.0 0.0 0.0 12.0 1581056.0 28.0 1532908.0 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: 0.065679595 0.007311403 0.0066385744 0.006220139 0.012602398 0.004632264 0.0036608279 0.0027893547 0.006199634 0.0037165764 0.0037556647 0.0045701074 0.0071941386 0.0046700705 0.004796306 0.004801432 0.005468494 0.003529466 0.0021600998 0.0026964403 0.002998252 0.00325649 0.0036153318 0.001576341 0.003384007 0.003171265 0.0021568958 0.001837783 0.0034064346 0.001539816 0.00151867 0.0028258797 0.0054204343 0.0017730633 0.0039466196 0.0021806052 0.0052301204 0.0016993725 0.0012585097 0.0012533834 0.0016929647 0.0010739624 0.001251461 0.0015321266 0.0014693292 0.0015776226 0.0019966986 0.0018595698 0.0019800381 0.0014481832 0.0032725097 0.0025586707 0.0017256449 0.0021831682 0.0017967725 0.0023741233 0.0018538027 0.0016948871 0.0014142214 0.045523576 0.03113722 0.0034269397 0.001728208 0.11696963 0.002220334 0.0016654107 0.0013533465 0.002438843 0.0050154557 0.0044791154 0.0019941356 0.0008894152 0.0015808266 0.001157265 0.0010239809 0.0009092796 0.0021319052 0.012987512 0.0013206662 0.00090159016 0.0034378332 0.0015648068 0.0012943939 0.0026470996 0.0012604321 0.0013450162 0.0022805682 0.0018063843 0.0009868151 0.0013514241 0.00079073367 0.001196994 0.0010137282 0.0012847821 0.0020236117 0.0013219478 0.0038754921 0.001473174 0.00097207696 0.0010566611 0.0016154292 0.002272238 0.0015180293 0.0007253732 0.0016731002 0.0012809373 0.0021158855 0.00069653767 0.0012315966 0.00082213234 0.0013219478 0.0012373637 0.0012123729 0.0007093535 0.0013975609 0.0013373267 0.0041817892 0.0034858924 0.0010271849 0.0011194585 0.001764733 0.0007196061 0.0005722246 0.00061067194 0.0010765255 0.0012367228 0.00096630986 0.0008765994 0.0013635991 0.001211732 0.0006504009 0.0040081353 0.0013264333 0.0027361691 0.0008304626 0.0006664206 0.0012194215 0.007217207 0.0010592242 0.010758848 0.00081700605 0.0033064715 0.0008061126 0.0007131982 0.0009092796 0.11592002 0.0005606904 0.0007388298 0.00089646387 0.11682161 0.0007445969 0.00061195355 0.0008791626 0.00086955074 0.0006914114 0.00064976007 0.0008182876 0.0008009863 0.00073947053 0.0008035495 0.000993223 0.0032712282 0.0007676653 0.00093747437 0.00082789944 0.0009118428 0.0006273325 0.0006568088 0.0014347266 0.0007010232 0.00073947053 0.0007445969 0.00067539164 0.000619643 0.00065873115 0.00069397455 0.0009464454 0.0006568088 0.00064078905 0.00066706137 0.0010015533 0.00074716 0.0008849297 0.0010681953 0.0018941724 0.0009829703 0.0007484416 0.000750364 0.001026544 0.00075549027 0.0009797665 0.000923377 0.003535874 0.0017371791 0.0017480724 0.0018973764 0.0013937162 0.00080803497 0.001546224 0.0019069882 0.0015020095 0.0018512396 0.00082533626 0.00079586 0.004505388 0.0009381152 0.0012155768 0.001050894 0.002557389 0.001114973 0.0009765625 0.0011027979 0.00082789944 0.0006677022 0.00072216924 0.00085160864 0.0011002348 0.00083366653 0.0006606535 0.0009413191 0.0009855336 0.0014456201 0.0006888482 0.0008067534 0.0011181768 0.0006600127 0.0006958969 0.00079906394 0.0011111283 0.00071640214 0.0009118428 0.000738189 0.00479951 0.001649391 0.0009522125 0.0018525211 0.0014904753 0.00087531784 0.00094003754 0.0015712148 0.0018268896 0.0013834635 0.001005398 0.0013693662 0.0021344684 0.0008176468 0.0014635621 0.0009650283 0.0016910423 0.0017109067 0.0009964269 0.0010553795 0.0018204816 0.0018461132 0.003298782 0.03556892 0.0054749697 2.5968997e-05 1.9236293e-05 0.03363081 0.0 0.0 0.0 4.8090733e-06 0.0 5.2899806e-05 0.0 0.0 0.0 0.0 0.0 0.00018723325 0.00016639393 1.250359e-05 2.500718e-05 0.0156468 0.0 0.0 0.0 3.3663513e-05 0.0 3.558714e-05 0.0 0.0 0.0 0.0 0.0 0.00049501396 0.0006155614 5.001436e-05 9.938752e-06 0.005895924 0.0 0.0 0.0 9.618147e-06 0.0 1.9236293e-05 0.0 0.0 0.0 0.0 0.0 0.0006222941 0.0035141502 6.7968234e-05 2.821323e-05 0.00068513263 4.007561e-05 1.442722e-05 2.3083552e-05 2.0518713e-05 4.456408e-05 8.015122e-06 1.1221171e-05 1.635085e-05 2.2121738e-05 8.656332e-06 1.5389034e-05 7.6303964e-05 0.011910792 0.0010099054 0.0001965308 0.09350345 0.00011990623 5.770888e-06 1.2182986e-05 1.31448005e-05 3.141928e-05 0.1723931 3.2060489e-06 1.250359e-05 1.8595083e-05 9.2975415e-06 1.2182986e-05 0.0004591062 0.004549063 0.0019066373 0.0004510911 0.03303545 0.00019973685 1.0900566e-05 8.976937e-06 1.250359e-05 8.976937e-06 0.058027882 8.335727e-06 9.618147e-06 1.3786011e-05 7.694517e-06 2.885444e-05 0.00021031681 0.0062267883 0.005564098 0.0047148154 0.008319697 7.726578e-05 1.635085e-05 2.0198107e-05 2.6930811e-05 4.712892e-05 6.957126e-05 4.0716823e-05 1.0900566e-05 2.8533836e-05 1.1221171e-05 1.7633269e-05 0.00041550395 0.009579674 0.0045144376 0.0041258642 0.005485229 0.00092686876 8.431909e-05 0.0007531009 0.00044147295 0.00013625708 0.0005177769 4.007561e-05 0.00016992059 7.726578e-05 4.5525896e-05 9.041058e-05 0.00124555 0.0077836458 0.00054599013 0.0005097618 0.00064024795 0.0008207485 0.00017825632 0.000684812 0.00036100112 0.00019556898 0.0001638291 7.85482e-05 0.000110608686 8.592211e-05 8.720453e-05 9.20136e-05 0.0007938177 0.004204092 0.00020903439 0.00020743137 0.0001830654 0.0010050964 0.000392741 0.0020563598 0.0011602691 0.0001564552 0.00012279168 0.00015228732 8.015122e-05 0.00012535651 7.245671e-05 7.0212474e-05 0.0003077807 0.005721194 0.0015411477 0.0004898843 0.00064730126 0.00071559014 0.0003087425 0.0006482631 0.0007550245 0.00020230169 0.00030040677 0.00024013306 0.00019877503 0.0003016892 0.0003145134 0.00021256105 0.00053444837 0.015714128 0.004809394 0.003257025 0.0027754765 0.0062037045 0.0016248256 0.00320669 0.0016498328 0.0019890328 0.0010967894 0.0016809314 0.0010493398 0.0013449375 0.0013317927 0.0014263712 0.006650628 0.018260373 0.0058273147 0.004809073 0.005424314 0.009214506 0.0024532687 0.0030521585 0.001887401 0.0031650115 0.0019899947 0.002865246 0.002425376 0.0028886502 0.0024917412 0.0025920905 0.010758539 0.029434415 0.008524563 0.0075598634 0.0063191224 0.010190106 0.0084210085 0.005103389 0.005270103 0.014758405 0.0029213517 0.003562882 0.0038588005 0.010386316 0.0044294773 0.0063370764 0.017374862 0.021775484 0.006711222 0.0050149015 0.005223936 0.008762453 0.0083171325 0.004281037 0.0067923353 0.014206644 0.0021897315 0.0027049435 0.002773553 0.008153944 0.0035090204 0.006188957 0.014865487 0.0041364445 0.0038238545 0.0037937176 0.0037844202 0.0037840996 0.003773199 0.0040174997 0.0038443732 0.003750436 0.0036875976 0.0038620066 0.003942799 0.0038030152 0.0039536995 0.0037943588 0.003968768 4179.0 49.547737 207060.0 0.0225297 0.008866995 0.025306674 0.011909591 0.007818989 0.008041147 0.0061672945 0.006022409 0.0057229786 0.004670144 0.005201391 0.0052641747 0.005829228 0.007485753 0.010591133 0.010074374 0.0073360377 0.0066840528 0.020361248 0.0046459963 0.004737757 0.005070994 0.0056167296 0.0048391772 0.005090312 0.0053076404 0.005945137 0.33147398 0.22817057 0.0071283686 0.008949097 0.0077127405 0.0026320873 0.0025886216 0.0008789723 0.0026127691 0.0021201584 0.00200425 0.001352265 0.0009127789 0.00079687044 0.0012218681 0.00028494158 0.0003767024 0.0021877717 0.0843427 0.0013667536 0.0010286873 0.0016227181 0.00079204096 0.0010480054 0.0019076596 0.001342606 0.0011977204 0.0017096493 0.0013377765 0.0005988602 0.00065681443 0.00054090604 0.00063266687 0.0010528349 0.0005988602 0.00081135903 0.0010238579 0.00048778133 0.0033903217 0.0013329469 0.0025789626 0.0023133392 0.008094273 0.0011204482 0.0012605042 0.0013909012 0.004447986 0.0007002801 0.00087414274 0.0033854921 0.0018641939 0.004245146 0.0044962815 0.0018980006 0.00042016807 0.0042837826 0.0030377668 0.0061866124 0.0017579446 0.00070993917 0.0010141988 0.0011107891 0.0010141988 0.0005602241 0.00021732831 0.00041533855 0.00029460058 0.00044914518 0.00049261085 3.917749 0.0 2.0 0.0 3.0 1560576.0 1576960.0 1.0 0.0 391.0 0.0 1.0 0.0 0.0 0.0 1251773700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 282624.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -282624.0 0.0 1175552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.003242 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6276867 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6081533 0.0 5.321242 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -278936.0 0.0 1175552.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 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 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 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 2.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -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 1.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 363892.0 1097680.0 401408.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 288352.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 340672.0 0.0 0.0 1620.0 286720.0 64.0 363756.0 0.0 0.0