Input: 0.097956456 0.0141644925 0.0073042517 0.0076742605 0.015203258 0.0058625867 0.004086544 0.0032067446 0.017881026 0.0044483305 0.007890784 0.0019432324 0.01038766 0.0033739337 0.001792488 0.009918982 0.023217378 0.0017130045 0.0011703247 0.0009072072 0.0062819305 0.002688732 0.0012936611 0.0008989848 0.005191089 0.0008195014 0.00064683054 0.0012717346 0.0035466047 0.0008167606 0.0008633543 0.0011840288 0.003415046 0.0007427588 0.00065505295 0.000967505 0.02553062 0.00083046465 0.0006769794 0.0005755695 0.0021789419 0.00056460634 0.0004851229 0.0031409652 0.0018226369 0.0006742386 0.00051801256 0.0008222422 0.0021597561 0.000668757 0.0008880216 0.007457737 0.0014142566 0.0010332844 0.00073179556 0.0004769005 0.0027819194 0.0031491877 0.00081401976 0.006358673 0.0023132414 0.001266253 0.0007482404 0.0006413489 0.003927577 0.0022940557 0.001038766 0.0011319534 0.009102222 0.013095577 0.0041002478 0.0016801149 0.002814809 0.0010798781 0.00050430855 0.00059475517 0.0062874123 0.006169557 0.0018281185 0.00083046465 0.01503881 0.0053336113 0.0025133204 0.0067917206 0.0030697042 0.0036534963 0.007797597 0.005558357 0.0012388449 0.0060325167 0.00047141887 0.0024256145 0.0023680576 0.0037740916 0.0053144256 0.003357489 0.0013676629 0.0004906045 0.00038645384 0.00051253097 0.003782314 0.0017431534 0.0023817616 0.0002685991 0.004505887 0.00041934353 0.008869252 0.0004878637 0.0011785472 0.00039467626 0.0004440108 0.0004056395 0.0018774531 0.00049608614 0.0024475409 0.0015047032 0.015063477 0.015628083 0.0016883373 0.0014690728 0.0013539589 0.0007208323 0.00043304756 0.00053445745 0.0027271032 0.0041934354 0.0020090118 0.0013676629 0.00451411 0.0017705616 0.0007482404 0.024108142 0.0054816147 0.010077949 0.0005454207 0.00048238208 0.0027928827 0.016543513 0.0023516128 0.047520116 0.0014471463 0.018177034 0.00046045563 0.00047964128 0.0010113579 0.00025215428 0.000370009 0.00042208433 0.0011758064 0.00072631397 0.00023296862 0.0004111211 0.0007345364 0.00071535073 0.00051801256 0.00040015788 0.0010552108 0.0003288969 0.00024393185 0.0007180915 0.0012498081 0.0033026729 0.0003727498 0.0015896682 0.0010168395 0.0015841867 0.00027408072 0.0002220054 0.0011292127 0.0003069704 0.00031793365 0.0005234942 0.001622558 0.00052623503 0.00047141887 0.00023570943 0.0026229527 0.00062490406 0.0005673471 0.00046045563 0.001110027 0.00051253097 0.0020802727 0.0013868485 0.0028504396 0.00070164667 0.0004933453 0.0005371982 0.0010250619 0.00042482515 0.0011730655 0.00069342426 0.011442871 0.0044428487 0.0051417546 0.0070685423 0.008131975 0.0009236521 0.0072220275 0.007800338 0.0033903788 0.0027133992 0.00083046465 0.0011840288 0.02417118 0.0006577938 0.003028592 0.001578705 0.0021597561 0.0011977328 0.0018610082 0.0009866906 0.0025873221 0.00040289867 0.0008578727 0.00080031576 0.0021844234 0.0007427588 0.0005317166 0.0016910781 0.0012388449 0.0005070494 0.0005234942 0.00053993904 0.0024146512 0.0005536431 0.0006002368 0.00038371302 0.0017897472 0.0005289758 0.0006577938 0.00050156773 0.029123819 0.0033355625 0.0006002368 0.0067944615 0.0040152827 0.0004166027 0.0007482404 0.0006386081 0.003908391 0.002220054 0.0012772162 0.0012059553 0.003987875 0.0006139408 0.0038946872 0.002702436 0.007208323 0.0021816827 0.0015047032 0.0015841867 0.0053116847 0.001578705 0.005651545 0.060215537 0.0056338026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002490922 3.3010565e-05 4.1263203e-05 2.6133363e-05 2.7508802e-05 1.6505282e-05 5.9143928e-05 3.5761444e-05 5.5017604e-06 9.628081e-06 1.1003521e-05 1.3754401e-05 1.2378961e-05 6.8772006e-06 8.252641e-06 1.9256162e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018197073 7.977553e-05 6.464569e-05 3.7136884e-05 5.7768484e-05 9.352993e-05 6.739657e-05 5.9143928e-05 0.00017330545 1.2378961e-05 2.4757923e-05 1.9256162e-05 0.00015129842 1.6505282e-05 5.7768484e-05 8.252641e-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 0.0 0.0 0.0 0.0 0.00087477994 0.0004456426 0.00015129842 2.2007041e-05 0.00016642826 3.4386005e-05 2.8884242e-05 2.7508802e-05 0.00033835828 5.0891285e-05 1.9256162e-05 4.1263203e-05 0.0002737126 2.2007041e-05 8.390185e-05 0.00023657571 0.09137461 0.021527013 0.02073201 0.011970456 0.021643925 0.03097904 0.010347436 0.020195588 0.05923333 0.003756327 0.0048085386 0.007080766 0.044194266 0.006116582 0.018331867 0.038975846 0.10997469 0.030523768 0.022707142 0.020879181 0.034651462 0.043579444 0.017137984 0.033240262 0.078049354 0.005503136 0.009914173 0.010134243 0.04526986 0.012667804 0.034695476 0.0657199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 823.0 5.8323207 4800.0 0.014583333 0.0027083333 0.0016666667 0.00125 0.06020833 0.0016666667 0.0029166667 0.0014583333 0.008958333 0.001875 0.0020833334 0.0033333334 0.008125 0.0027083333 0.004375 0.0035416668 0.007916667 0.0077083334 0.0016666667 0.0029166667 0.004375 0.00083333335 0.0014583333 0.00083333335 0.011875 0.01875 0.0022916666 0.011666667 0.02625 0.0016666667 0.0029166667 0.0014583333 0.01125 0.0020833334 0.001875 0.0029166667 0.0175 0.0035416668 0.009375 0.0025 0.011041666 0.0022916666 0.0025 0.0022916666 0.013958333 0.0027083333 0.0022916666 0.0014583333 0.06125 0.023125 0.016041666 0.1175 0.010625 0.013125 0.080416664 0.057708334 0.004583333 0.022291666 0.00125 0.019166667 0.008125 0.020208333 0.022083333 0.020416666 0.0020833334 0.0029166667 0.000625 0.0010416667 0.004375 0.00125 0.0027083333 0.00041666668 0.0125 0.00083333335 0.029375 0.000625 0.00625 0.00041666668 0.00083333335 0.0014583333 0.0025 0.00020833334 0.00625 0.003125 0.051875 0.017916666 0.00375 0.003125 0.0022916666 0.000625 0.0016666667 0.0010416667 0.008541667 0.006458333 0.003125 0.00625 5.3698244 0.0 0.0 0.0 2.0 364856.0 774144.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1264668900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 565248.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -4096.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -565248.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648863 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 -56550.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -562440.0 0.0 5912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 668768.0 160.0 664256.0 5912.0 708608.0 0.0 0.0 3832.0 761856.0 28332.0 716800.0 28.0 570848.0 0.0 0.0 0.0 0.0 24.0 623572.0 64.0 623496.0 0.0 0.0 852.0 569344.0 0.0 0.0 0.0 0.0


Input: 0.23183613 0.0036126615 0.002891087 0.003017203 0.0028990689 0.0027681638 0.0023882198 0.0027537963 0.0026005416 0.0026228912 0.0024345156 0.0023898163 0.0023786414 0.0073243 0.0070401398 0.007903795 0.0028942798 0.0020178542 0.0024887933 0.0023738523 0.0020002937 0.0024409012 0.0025127393 0.0020849032 0.002396202 0.0021838802 0.0021631268 0.0022780679 0.0021774946 0.0020896923 0.0030714807 0.0027202717 0.0027585854 0.0022988212 0.0021184275 0.0021902658 0.0023291528 0.0025302998 0.0023052068 0.0022397542 0.0021663196 0.0026707833 0.0022221939 0.0022237902 0.0021902658 0.0020146614 0.002088096 0.0021806874 0.0027873206 0.0022812607 0.0022605076 0.0026915364 0.0025414745 0.0025877703 0.0023323456 0.0020625535 0.0024424975 0.0026372587 0.0022301758 0.0020529751 0.002476022 0.0020306255 0.0021008672 0.0027585854 0.0031241619 0.002377045 0.002385027 0.0021854765 0.0023435205 0.0028224415 0.002274875 0.0024552688 0.0028926833 0.0026468372 0.0024057804 0.0022525254 0.0025893666 0.0026628012 0.0023403277 0.0023946054 0.0034929311 0.0024808112 0.0027378323 0.0024504797 0.002614909 0.0028256343 0.002515932 0.00246804 0.00232596 0.0021264097 0.0021695124 0.0025446673 0.0023243637 0.002562228 0.0020785176 0.0024472869 0.0027362357 0.0023898163 0.0018278821 0.0023227672 0.002377045 0.0023275565 0.0034929311 0.0021886693 0.0023834307 0.0024696365 0.002499968 0.002203037 0.0024871968 0.0021583377 0.002444094 0.0023658702 0.0025909632 0.0024424975 0.0020354146 0.0021886693 0.002535089 0.0022796644 0.0025239142 0.0024073767 0.0022828572 0.0024377084 0.0024856005 0.002341924 0.0022317723 0.0019923118 0.0019715584 0.0025287033 0.0025287033 0.002578192 0.0022333686 0.002088096 0.0027713566 0.00463436 0.0025462639 0.0023674665 0.0023610808 0.0025223177 0.0024201479 0.0021487593 0.0023323456 0.0041586314 0.016404644 0.0022764716 0.0024983718 0.0022684895 0.0021727053 0.002191862 0.0023275565 0.0024887933 0.0019795406 0.0022126155 0.002808074 0.0022158083 0.0019875225 0.0019699621 0.0024249372 0.0024616544 0.002029029 0.0021902658 0.0021503556 0.0021008672 0.002515932 0.0029006654 0.002551053 0.0030427454 0.0022812607 0.0023610808 0.0024025876 0.0022445435 0.0023818342 0.0022716823 0.0025414745 0.0027458142 0.002938979 0.0023403277 0.002709097 0.002416955 0.0025175286 0.0022237902 0.0022493326 0.0023499061 0.0021056563 0.0025718063 0.002760182 0.002808074 0.0021647234 0.0024105695 0.0026069272 0.0025095465 0.0021136384 0.0024935824 0.003172054 0.002551053 0.002155145 0.0023307493 0.0028878942 0.002412166 0.002219001 0.0035488051 0.0026404515 0.0029501538 0.002713886 0.0023291528 0.0031624755 0.0025414745 0.0022285795 0.0025031609 0.00265003 0.0023882198 0.0024472869 0.0022174045 0.0021838802 0.0025494567 0.0025302998 0.0026005416 0.0031816324 0.002444094 0.0031592827 0.0024744256 0.002875123 0.003084252 0.0025973488 0.0026532228 0.0029373826 0.002234965 0.002875123 0.0026212947 0.0028288271 0.0026851508 0.0025175286 0.0024424975 0.0035216664 0.0025494567 0.0028112668 0.002290839 0.0023291528 0.0031864217 0.0023786414 0.0028304236 0.002840002 0.0024137623 0.002642048 0.0029597322 0.0029709071 0.0033843757 0.0029836784 0.0040037804 0.003065095 0.0026691868 0.002733043 0.0026851508 0.0030347633 0.002519125 0.0037707053 0.10069475 0.013114754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08032787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004341701 1.6809683e-05 1.7610144e-05 1.2807377e-05 4.0823514e-05 6.4837346e-05 0.000110463625 6.563781e-05 3.5220288e-05 4.7227204e-05 6.003458e-05 1.6809683e-05 4.3224896e-05 7.2041494e-06 3.201844e-05 5.6032272e-06 0.016761655 1.6809683e-05 2.1612448e-05 2.6415215e-05 2.8816597e-05 5.6032273e-05 4.9628587e-05 5.923412e-05 0.012389536 0.00012567239 0.00017530097 5.7633195e-05 0.00012006916 5.7633195e-05 0.00010245902 0.0027383773 0.0035452421 3.4419827e-05 8.00461e-06 2.0811987e-05 1.0405994e-05 1.52087605e-05 1.6809683e-05 2.0811987e-05 0.0010670146 4.1623975e-05 6.0835042e-05 1.6809683e-05 6.964011e-05 4.0023053e-05 5.202997e-05 0.0015376857 0.0031714267 8.324795e-05 6.3236424e-05 3.602075e-05 0.00011846824 3.121798e-05 4.4825818e-05 5.443135e-05 0.000750032 5.5231812e-05 5.283043e-05 6.403688e-05 6.003458e-05 6.723873e-05 0.00012086962 0.00014488345 0.0056032273 7.0440576e-05 2.961706e-05 6.563781e-05 2.8016137e-05 8.0046106e-05 7.124103e-05 0.00014088115 0.00010966317 0.00021932634 0.00020251665 0.00010966317 0.00023213371 0.00022012679 0.00024334017 0.000770844 0.016047643 0.00034179687 0.00013127562 0.00022573002 0.00064036885 0.00039943008 0.0007172131 0.0007084081 0.00031938395 0.00057793286 0.00065637805 0.00051549694 0.00063236424 0.0007668417 0.0013111553 0.0022380892 0.0126080625 0.00046586833 0.00019131019 0.00073482323 0.00059714395 0.0006395684 0.0004586642 0.0004914831 0.00048668034 0.00048828125 0.0003866227 0.00041223745 0.00048748078 0.0005675269 0.0006419698 0.0032930968 0.009070825 0.0004706711 0.0002177254 0.00045946465 0.00058113475 0.000637167 0.00086850027 0.0005363089 0.00040423285 0.0003602075 0.00034900103 0.00035220286 0.00045466187 0.0005603227 0.0009133261 0.0017970351 0.010330751 0.00025214523 0.00026255124 0.00026255124 0.00048267804 0.00060514855 0.00045786373 0.0005635246 0.0008388832 0.0010125833 0.0010518058 0.00086850027 0.0010109823 0.0017690189 0.0024710232 0.003989498 0.0076347976 0.00065477716 0.00081086706 0.00059074024 0.0010430007 0.0018090421 0.0011462603 0.0008204726 0.0045706327 0.0006531762 0.0007284196 0.001027792 0.001593718 0.0012359119 0.0018666752 0.00987929 0.0040823515 0.00079085556 0.0003762167 0.00035060194 0.0012415152 0.000720415 0.0007628394 0.00045386143 0.0011334529 0.0004050333 0.0006291624 0.00046586833 0.0006964011 0.00082367443 0.0008412846 0.0026199091 0.17814581 0.033786662 0.033343207 0.03411725 0.034405418 0.034037206 0.03262519 0.032342628 0.032562755 0.031346057 0.034242123 0.034233317 0.03574699 0.034524687 0.033446465 0.03470079 0.002210073 0.00085409195 0.0010205879 0.0013167585 0.00092453253 0.0010293929 0.0012999488 0.0010045787 0.001716989 0.00089731684 0.0011934874 0.0008757044 0.001211898 0.0014432312 0.0010430007 0.0016305392 2050.0 6.4239025 13169.0 0.01002354 0.007441719 0.012301617 0.005619257 0.01951553 0.009567925 0.007593591 0.0069101676 0.011086643 0.0072898474 0.013136912 0.0053914497 0.012833169 0.0062267445 0.0058470652 0.00835295 0.011010707 0.007669527 0.009340117 0.024755107 0.022477029 0.007745463 0.011997874 0.0048598982 0.0063786167 0.0062267445 0.0063786167 0.012073809 0.006834232 0.0055433214 0.0058470652 0.0134406565 0.0072139115 0.010631028 0.0072898474 0.008049207 0.018452426 0.009188245 0.006758296 0.0046320907 0.021869542 0.014048143 0.00706204 0.006986104 0.0072139115 0.008504822 0.007669527 0.007593591 0.007593591 0.011010707 0.0116941305 0.014807503 0.012833169 0.018908042 0.011010707 0.005923001 0.0061508087 0.0047839624 0.008808565 0.0061508087 0.0071379757 0.011010707 0.007441719 0.018680234 0.008125142 0.024527298 0.009795733 0.007365783 0.01002354 0.019059913 0.011542259 0.0079732705 0.00964386 0.011314451 0.00668236 0.01503531 0.012909105 0.011618194 0.008428886 0.008884502 0.01002354 0.007365783 0.014200015 0.008960437 0.014048143 0.014655631 0.011314451 0.012529425 0.006606424 0.011390386 0.018983977 0.0072139115 0.013288784 0.005619257 0.013212848 0.018832106 6.460376 1.0 4.0 0.0 2.0 626408.0 622592.0 0.0 0.0 55.0 0.0 1.0 1.0 0.0 0.0 1134969600.0 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 2.0 9.0 6.0 0.0 4.0 0.0 4.0 0.0 589824.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589824.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6342926 0.0 4.56741 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -586056.0 0.0 23690.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 588948.0 23690.0 598016.0 0.0 0.0 3816.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 276.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0566457 0.008290952 0.006171383 0.0056508053 0.0057532648 0.0049573914 0.004198776 0.005410698 0.005040187 0.005617687 0.0037465044 0.0044564772 0.0049491115 0.0031855637 0.004325039 0.0046365582 0.005045362 0.0037620286 0.0049397973 0.004156343 0.0043581575 0.0031783192 0.0041066655 0.0038458593 0.00507227 0.0033408056 0.003180389 0.0029268272 0.004137714 0.003447405 0.0037920421 0.0037879024 0.0061651734 0.0038220554 0.003487768 0.0030158325 0.0048942594 0.004174972 0.003848964 0.003719596 0.004732808 0.003893467 0.0033377009 0.0030975933 0.004368507 0.0037113163 0.0037289103 0.003581948 0.0055079823 0.003949354 0.003105873 0.0029009536 0.003682338 0.0030810342 0.0026939644 0.002854381 0.0041646226 0.0033232116 0.0035198512 0.003336666 0.0040104156 0.0032248916 0.003503292 0.0034567197 0.0066008857 0.003947284 0.0036171363 0.0032269615 0.0041542733 0.0032269615 0.0035384803 0.0030779294 0.005006034 0.0037847974 0.003714421 0.0035881577 0.0041294345 0.0031296767 0.0035508997 0.0034598245 0.0051633455 0.0036243808 0.0036461146 0.003334596 0.0039327946 0.0033873783 0.0033677144 0.003547795 0.0046448377 0.0036461146 0.0038096362 0.003508467 0.004105631 0.0033863434 0.0036864777 0.0038013565 0.0059116115 0.0036316256 0.0033418406 0.0029495961 0.0040124855 0.0030593004 0.0032724992 0.0030386015 0.0049677407 0.00316176 0.0031938434 0.0030530908 0.0035747034 0.0028378218 0.003084139 0.003200053 0.00450305 0.0032911282 0.003218682 0.0031410612 0.0038913968 0.0033294212 0.0032911282 0.0036285205 0.0046262085 0.0032973378 0.0034805234 0.0031576203 0.0040352545 0.0031948783 0.003467069 0.0033439104 0.008646973 0.0045879157 0.004024905 0.003527096 0.004371612 0.003428776 0.0030241122 0.0034008324 0.0045444476 0.00383137 0.0029640852 0.0031876336 0.0037278754 0.002797459 0.002853346 0.0029837494 0.005228547 0.0032062626 0.003487768 0.0030251471 0.003660604 0.0031762493 0.0033087223 0.003276639 0.004545483 0.0028440317 0.0030437761 0.002705349 0.0035157115 0.0032248916 0.0029816793 0.0031493406 0.0050049988 0.003410147 0.003274569 0.0027922844 0.0037672033 0.0030106578 0.0030510207 0.0031886685 0.0041418537 0.0030013435 0.003125537 0.0030210074 0.0036450797 0.002833682 0.0029195827 0.0030396364 0.004672781 0.0031131175 0.0038417196 0.002854381 0.003565389 0.0031503756 0.0029858192 0.003124502 0.004253628 0.003145201 0.003334596 0.0031741792 0.003660604 0.0031834939 0.0033252814 0.0033583997 0.00670645 0.0040538833 0.003719596 0.0033428755 0.004121155 0.0032476606 0.0033066524 0.0032269615 0.004334354 0.003335631 0.0031120826 0.0030903488 0.0036554292 0.0029827144 0.003082069 0.002797459 0.004252593 0.0032714643 0.0030789643 0.0030054832 0.0037092464 0.003009623 0.0029371767 0.0029371767 0.0039752275 0.0031048378 0.0027291526 0.0026525666 0.0035426202 0.0029558057 0.0035881577 0.0028854294 0.004960496 0.0032435206 0.0033873783 0.0029754697 0.0038065314 0.0030675798 0.0031979831 0.0029030235 0.0044399183 0.005437606 0.0034608594 0.0031400262 0.0037972168 0.0030717198 0.00325594 0.0032041927 0.004612754 0.003315967 0.0034215315 0.0030520556 0.0037413298 0.0030810342 0.0033201068 0.0032414508 0.0043560877 0.0030344615 0.0031855637 0.00287301 0.0040145554 0.0030975933 0.0042422437 0.0045123645 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 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 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 0.09915064 0.062032454 0.062462162 0.055311587 0.06062048 0.05956876 0.05495393 0.054460466 0.060489856 0.05315942 0.052123763 0.05295104 0.056436915 0.050549548 0.056655657 0.053871624 4031.0 5.702555 22987.0 0.017140122 0.010440684 0.009353112 0.008657067 0.013529386 0.012485318 0.011832775 0.011528255 0.012615826 0.009657633 0.008570061 0.00870057 0.0138339065 0.010571192 0.011789273 0.009962153 0.016661592 0.011963284 0.008657067 0.00748249 0.009788142 0.008483056 0.00778701 0.008309044 0.010310175 0.008526558 0.009657633 0.008787575 0.011484752 0.008918084 0.00961413 0.009222604 0.018097185 0.010875712 0.010397181 0.009135598 0.010832209 0.008831078 0.010745204 0.008352547 0.014225432 0.0115717575 0.009744639 0.008961587 0.011441249 0.009353112 0.0116152605 0.00961413 0.014747466 0.009570627 0.009962153 0.008961587 0.012093792 0.009309609 0.009570627 0.009831644 0.0136598945 0.009309609 0.01052769 0.009527124 0.011180232 0.009788142 0.010397181 0.010701701 0.01801018 0.011006221 0.009788142 0.008178536 0.013094357 0.008222039 0.009353112 0.008309044 0.015400008 0.009309609 0.008874581 0.008657067 0.011310741 0.008048027 0.009875147 0.008004525 0.01313786 0.008048027 0.00870057 0.00870057 0.011441249 0.009483621 0.00809153 0.008004525 0.010962718 0.008918084 0.01205029 0.008483056 0.011441249 0.008961587 0.010136164 0.008744073 6.5545754 0.0 0.0 0.0 14.0 966234.0 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: 0.193939 0.012346541 0.008377179 0.008098161 0.008443612 0.007986886 0.005097058 0.0021524234 0.006889084 0.0013054049 0.0019547858 0.0023434178 0.003916215 0.005487351 0.0017338967 0.006904031 0.015395807 0.0077992133 0.002906436 0.0011725393 0.0056218775 0.017338967 0.001230668 0.0019846805 0.003369805 0.00068093644 0.00064772 0.00047167303 0.0022836283 0.0037733843 0.0008370536 0.0005082111 0.010162561 0.00067429314 0.0010878375 0.0021324935 0.0078988625 0.0027752311 0.0009798842 0.005831141 0.004181946 0.0006776148 0.0012705277 0.00044676074 0.0034910447 0.00050488947 0.0023168446 0.00080383715 0.0025443772 0.0014548788 0.000675954 0.0023733126 0.002750319 0.002361687 0.00036704136 0.00034378987 0.0018999787 0.00044177828 0.00024580144 0.0009283987 0.0028001436 0.0024297806 0.0008304103 0.00031057344 0.032513883 0.0016026918 0.0013137091 0.0010446562 0.003090787 0.008573156 0.0011061066 0.0007390652 0.0023666692 0.017739225 0.0002424798 0.0002424798 0.0038829986 0.0074487804 0.00030393017 0.00033382492 0.01878222 0.00819615 0.009744034 0.0012572411 0.0046154205 0.0051983683 0.005405971 0.0008785741 0.0016143176 0.0004600473 0.00018269026 0.00027569622 0.0028001436 0.0006228077 0.00030226936 0.00085864426 0.0012788319 0.005563749 0.0011061066 0.002722085 0.004240075 0.0074554235 0.0046320288 0.0016774288 0.011323474 0.004637011 0.007666348 0.0001212399 0.0038663903 0.0020411485 0.004519093 0.0035558168 0.0025111607 0.00037368463 0.0050870935 0.0023317921 0.0053760763 0.0042832564 0.0007756032 0.0002923044 0.0038298522 0.0003969361 0.00084203604 7.805857e-05 0.00078224647 0.0038016182 0.00021756749 0.00044011747 0.0077228155 0.0007041879 0.00016442123 0.005841106 0.0017704348 0.019197425 0.00023749734 9.466677e-05 0.001582762 0.008113109 9.964924e-05 0.019667437 0.00090846885 0.02690031 0.00010961416 0.00083539274 0.004080636 0.0019846805 0.0013934284 0.00017106452 0.0013502472 0.004774859 8.968431e-05 0.00018767272 0.0010131005 0.00047997714 0.00012788319 0.00020428094 0.0014880953 0.0012439546 0.00011127498 0.00015445631 0.0022553944 0.0044858763 6.6432825e-05 0.0004583865 0.0020494526 9.466677e-05 0.0001046317 7.473693e-05 0.003627232 7.9719386e-05 0.00015943877 9.466677e-05 0.00079553307 0.00024746227 8.636267e-05 0.00011127498 0.0018750664 0.0002989477 0.0004766555 8.636267e-05 0.0014299665 0.00088355655 8.304103e-05 0.00018102945 0.002768588 0.0004517432 0.000388632 0.0005214977 0.0024015466 0.0017355575 0.0011177323 0.0011144106 0.006774487 0.00027735703 0.00023251488 0.0008187845 0.0039660395 6.311118e-05 0.00012788319 0.0077975527 0.0031954187 0.00045506484 9.466677e-05 0.0001212399 0.0013585512 7.805857e-05 9.3005954e-05 0.0002889828 0.0027885179 8.968431e-05 0.0002341757 0.002989477 0.0012356505 0.0001046317 0.0012921185 0.0021740142 0.0044377125 0.0047084265 8.968431e-05 0.0039211973 0.0037534544 0.0010496386 0.00033548576 0.0030858046 0.006867493 0.00030060852 0.0034129862 9.134513e-05 0.0013934284 0.00032718165 7.1415285e-05 6.4772e-05 0.002203909 0.0009699192 0.00014947385 0.0023733126 0.0019431601 0.0002823395 8.470185e-05 0.00017438616 0.0055886614 0.00010297087 0.0001461522 0.00032884246 0.00054474914 0.00030226936 0.0010546211 0.0005530533 0.002609149 0.00062779017 0.0007490301 0.0012688669 0.003786671 0.0015628322 0.005304661 0.100760326 0.0102214655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030053835 1.8300148e-05 6.6545996e-05 4.1591247e-06 9.981899e-05 9.9819e-06 5.9059574e-05 4.9909497e-05 2.9113873e-05 1.99638e-05 2.495475e-06 6.6545995e-06 4.99095e-06 9.150074e-06 6.6545995e-06 1.4972849e-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 0.0038097582 8.983709e-05 6.820964e-05 0.00037848036 0.00034188005 2.828205e-05 0.00012227827 8.151885e-05 5.9059574e-05 1.6636499e-05 6.6545995e-06 1.4141025e-05 7.4864247e-06 7.4864247e-06 2.162745e-05 5.7395922e-05 0.013783339 0.00027117494 0.000366003 0.0002304155 0.0013442291 0.00037432124 0.0004533446 0.0006305233 0.00024788384 0.00013059651 8.900527e-05 0.00017052412 5.074132e-05 9.3164395e-05 0.00013641929 0.00036766662 0.007547148 0.00050907687 0.0005972503 0.00069457386 0.00081186113 0.00014806484 0.0007869064 0.0003701621 0.00013226017 7.735972e-05 1.4972849e-05 2.162745e-05 8.3182495e-06 1.1645549e-05 3.160935e-05 0.00016220586 0.021176599 0.001639527 0.0028631415 0.001762637 0.0016312087 0.00035934837 0.0027525087 0.0009557669 0.00071204215 0.00024954748 0.00021294718 0.000112296366 0.00010564177 0.0002794932 0.00015471944 0.000807702 0.022262132 0.0026976084 0.0023848421 0.0014340662 0.0017667962 0.00094162585 0.0040784376 0.0014116069 0.000979058 0.00033772094 0.0002769977 0.00026119302 0.00020795624 0.00021960179 0.0003002888 0.001325929 0.025156882 0.0027208994 0.0056564095 0.0017435051 0.0024829975 0.0014074479 0.012995602 0.0050125774 0.0010098355 0.0006920784 0.00029446604 0.0003734894 0.00038263947 0.00029113874 0.00043587628 0.0023765238 0.029934052 0.0050574956 0.008522878 0.0025171023 0.004542596 0.0030852389 0.017885901 0.0072402046 0.0014282435 0.00079189736 0.0004733084 0.00040426693 0.0008867254 0.0003460392 0.0006895829 0.0030769205 0.00930313 0.0028764508 0.0010023491 0.0006521508 0.0039170636 0.0023881695 0.0017002502 0.0012236146 0.0048395577 0.0010098355 0.0004333808 0.0006438325 0.0012860014 0.00053486344 0.0008093657 0.008265845 0.066512726 0.025928816 0.012278568 0.00654064 0.03165427 0.024874061 0.011722078 0.006687041 0.046602994 0.008045411 0.006063172 0.007272646 0.0117645 0.014880517 0.008556983 0.06836686 0.063187085 0.024309253 0.011486671 0.006836769 0.03407654 0.027673984 0.013938059 0.007797527 0.038055994 0.007513043 0.006947402 0.0065556127 0.011077413 0.015663264 0.009596764 0.04066792 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3622.0 11.587797 41971.0 0.096495196 0.00011912987 0.007386052 0.0047175433 4.765195e-05 9.53039e-05 0.0004765195 0.0002859117 0.0010245169 0.0010245169 0.0005718234 0.0005003455 0.013866718 0.00078625715 0.017535917 0.0017631222 0.0016201664 0.0151294945 0.0035738964 0.0051225848 0.00390746 0.0014295585 0.0005479974 0.00090538705 0.0013580805 0.0013819066 0.0010959948 0.00011912987 0.00021443378 0.000976865 4.765195e-05 9.53039e-05 0.0024302495 0.010197517 0.001000691 0.00769579 0.008458221 0.0035977222 0.0026923353 0.0006909533 0.0012151247 0.0043125013 0.00023825974 0.0010245169 0.02308737 0.00390746 0.0012151247 0.001882252 0.007433704 0.00016678183 0.0064091873 0.008219961 0.016201664 0.0010483429 0.002811465 0.0015248624 0.0022634675 0.0022634675 0.0007624312 0.00011912987 0.0004050416 7.147792e-05 4.765195e-05 0.008482047 0.00016678183 0.06687951 0.010816992 0.035381574 0.031402636 0.09794858 0.00805318 0.01355698 0.008291439 0.06151867 0.0070763147 0.00033356366 0.033308715 0.02551762 0.060446497 0.043410927 0.015844274 0.002716161 0.051892973 0.025827358 0.03928903 0.007862572 0.00769579 0.0010959948 0.014724453 0.002882943 0.004836673 0.0 0.00014295585 0.0047175433 0.00021443378 4.765195e-05 5.089165 1.0 0.0 0.0 1.0 602112.0 626688.0 0.0 0.0 103.0 0.0 1.0 0.0 0.0 0.0 1273190700.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 589824.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589824.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0996785 0.0 4.159718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589708.0 0.0 2208.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 2.0 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 -2.0 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 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 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 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 591588.0 2208.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 524.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1310611 0.026472637 0.006712148 0.0074182074 0.0136993835 0.0038695715 0.0026958627 0.0020173122 0.016486943 0.0018889378 0.0020081426 0.004465596 0.012204739 0.0015771714 0.0010178257 0.011058539 0.019870525 0.0020081426 0.0007060593 0.0016413586 0.003924589 0.0034386003 0.0008711121 0.0008069249 0.0033193955 0.00069688965 0.00067855045 0.0014121186 0.0022924002 0.00061436323 0.00045848003 0.0008252641 0.003539466 0.00054100645 0.0005318369 0.004117151 0.0040529636 0.0012929137 0.00041263204 0.00052266725 0.0012929137 0.0007335681 0.0004951584 0.003035138 0.0009811473 0.0012378962 0.0022007043 0.0006693809 0.003768706 0.0025399795 0.0024849619 0.010132409 0.0019164466 0.0016963761 0.0013571009 0.0013112529 0.0024391138 0.003080986 0.0012929137 0.0059969192 0.0016230193 0.002182365 0.0013387618 0.0036953492 0.011205252 0.0052450118 0.004759023 0.0023290787 0.0029984596 0.016496113 0.0050432803 0.0024299442 0.002503301 0.001678037 0.0012012178 0.00055934564 0.0011828785 0.0076841256 0.0022098739 0.0011828785 0.009967356 0.0040804725 0.0020539905 0.005593457 0.0015313233 0.007867518 0.007005575 0.0057218308 0.0025949972 0.0054467428 0.0022373826 0.0024391138 0.0008894513 0.0065470953 0.0038787413 0.005657644 0.0010728433 0.005877714 0.0020356514 0.0035211267 0.004392239 0.008353506 0.0032918868 0.0013571009 0.0035211267 0.0058960533 0.0055292696 0.0014854753 0.007262324 0.0033193955 0.0045114434 0.005355047 0.0026041667 0.0005318369 0.007078932 0.0057493397 0.012241418 0.016413586 0.0018705986 0.001998973 0.0019714641 0.0014671362 0.0014212881 0.00037595365 0.0015221537 0.0043005426 0.001586341 0.0011553697 0.0025399795 0.002274061 0.0007702465 0.014066168 0.0038787413 0.009197109 0.0008711121 0.00054100645 0.0016872066 0.020173121 0.0011095217 0.05240427 0.00077941606 0.0097381165 0.00064187206 0.0008527729 0.00079775526 0.00043097124 0.00044014084 0.0004951584 0.0007885857 0.0010636738 0.00062353286 0.00052266725 0.00081609446 0.00089862087 0.00035761442 0.00035761442 0.00069688965 0.00079775526 0.0007060593 0.00066021126 0.00089862087 0.0014579665 0.00052266725 0.0007702465 0.00076107687 0.0018064114 0.00023840963 0.00030259683 0.00081609446 0.00022007042 0.00021090082 0.00032093603 0.0009077905 0.00026591844 0.00023840963 0.00039429285 0.0024849619 0.00044931044 0.0006510417 0.0011095217 0.0019164466 0.0024482834 0.0007702465 0.00044014084 0.0013020834 0.00052266725 0.0005685153 0.00033927523 0.0009536385 0.00061436323 0.0006693809 0.0005501761 0.0075924294 0.007784991 0.0038787413 0.0073815286 0.0034294308 0.0006510417 0.0040437942 0.0029526115 0.0045756306 0.0016688674 0.001723885 0.0019622946 0.0022557217 0.0007519073 0.0021548562 0.0016321889 0.0025124706 0.0024024355 0.0014854753 0.0011278609 0.0011553697 0.00028425764 0.0014304577 0.0008619425 0.002411605 0.0011920481 0.0007702465 0.0014763058 0.0017789026 0.00059602404 0.00071522885 0.0010361649 0.0029067635 0.0013387618 0.00061436323 0.00040346244 0.0023290787 0.0020814994 0.00059602404 0.00048598886 0.014579666 0.002274061 0.00064187206 0.0063270247 0.0073448503 0.00027508804 0.00055934564 0.00055934564 0.0051074675 0.0016321889 0.0026775235 0.0015038146 0.0036219924 0.00047681926 0.0023382483 0.003310226 0.005602626 0.001678037 0.0011370305 0.0012012178 0.008032571 0.0010728433 0.0051716547 0.046517387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008500744 7.4404765e-05 4.6502977e-05 9.3005954e-05 0.00014880953 5.580357e-05 0.00033947174 0.000106956846 1.3950893e-05 2.3251489e-05 4.650298e-06 1.8601191e-05 0.0 0.0 1.8601191e-05 7.905506e-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 0.00671503 6.510417e-05 0.00028831846 0.00012090774 0.00011160714 0.00016276042 0.0011997768 0.00070684525 4.650298e-06 2.7901786e-05 9.300596e-06 2.3251489e-05 0.0 0.0 1.3950893e-05 7.4404765e-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 0.012374442 0.0005254836 0.00027436757 0.003264509 0.0069754464 0.0041527157 0.012723214 0.004924665 0.00016276042 0.0007207961 0.0002092634 0.00014880953 0.00011160714 9.765625e-05 0.000106956846 0.0008463542 0.013862537 0.00056733633 0.0018182663 0.0015671503 0.0028971354 0.0025902158 0.015494792 0.00687314 6.975447e-05 0.00011625744 6.975447e-05 5.580357e-05 4.185268e-05 6.045387e-05 3.7202382e-05 0.0014973958 0.010658482 0.00067894347 0.0010463169 0.0014136905 0.003813244 0.002748326 0.009393601 0.0052269343 0.0003999256 0.0007486979 0.00027436757 0.00030226936 0.00029761906 0.000106956846 0.0002511161 0.00073474704 0.029264323 0.0018554687 0.002799479 0.010807292 0.0055850074 0.00437593 0.011616443 0.0058175223 0.0031343007 0.0026181175 0.0012927827 0.0013485863 0.001297433 0.0008789062 0.0012602307 0.0017624628 0.025032552 0.0024088542 0.00281343 0.002859933 0.007049851 0.004138765 0.0017671131 0.0033947174 0.013332403 0.0010230655 0.0009347098 0.0013020834 0.0053478424 0.0018461682 0.003985305 0.008477492 0.07561849 0.017015439 0.008640253 0.01391369 0.025855655 0.030059524 0.006263951 0.019266183 0.06409505 0.0026739212 0.003031994 0.0048084077 0.02798549 0.009705171 0.019949777 0.042545572 0.05863095 0.020749629 0.007849703 0.010542225 0.016954985 0.025902158 0.008537946 0.01655971 0.04187128 0.0023065477 0.004208519 0.0078450525 0.019921875 0.008677456 0.018075706 0.036128163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 646.0 19.781734 12779.0 0.0072775646 0.00070428045 0.0004695203 0.0011738008 0.0070428047 0.0013303076 0.0004695203 0.00078253384 0.0021910947 0.0015650677 7.825338e-05 0.0011738008 0.00086078723 0.005242977 0.010955473 0.0011738008 0.013381328 0.010955473 0.008451366 0.0053994837 0.0057907505 0.0045386963 0.004225683 0.0025041082 0.003912669 0.0047734566 0.004695203 0.0032083888 0.0023476016 0.003912669 0.0032866423 0.022693481 0.059785586 0.0208154 0.0090773925 0.006886298 0.012442288 0.008764379 0.0039909226 0.0025823617 0.003443149 0.00555599 0.0014868143 0.0011738008 0.003677909 0.0043821894 0.00485171 0.0022693481 0.008764379 0.0050082165 0.003912669 0.011268487 0.0072775646 0.004303936 0.00946866 0.005242977 0.008294859 0.0035996556 0.010955473 0.0015650677 0.0013303076 0.0009390406 0.0014085609 0.02566711 0.001017294 0.04554347 0.013694342 0.026762657 0.029892793 0.061115894 0.008529619 0.009312153 0.0072775646 0.045856483 0.0032866423 0.007668832 0.05524689 0.02355427 0.031066593 0.040300492 0.013224822 0.00054777367 0.041552547 0.036935598 0.045230456 0.016041944 0.005869004 0.0039909226 0.0057907505 0.004303936 0.007903592 7.825338e-05 0.00062602706 0.0004695203 0.00031301353 0.00023476015 5.6380615 1.0 1.0 0.0 2.0 109056.0 131072.0 1.0 139.0 146.0 1.0 1.0 0.0 1.0 0.0 1485907100.0 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 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 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 14.0 0.0 6.0 1.0 6.0 1.0 80896.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81408.0 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 -6.658202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6552944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0451981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.06072 0.0 3.2011907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21086.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -80407.0 0.0 880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -3.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -3.0 -2.0 -1.0 0.0 0.0 -3.0 2.0 2.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 4.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 2.0 2.0 0.0 -1.0 2.0 3.0 2.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 6704.0 95536.0 280.0 102240.0 880.0 122880.0 0.0 0.0 0.0 0.0 2704.0 126976.0 84.0 94080.0 0.0 0.0 0.0 0.0 24.0 94172.0 64.0 93976.0 0.0 0.0 636.0 86016.0 64.0 95380.0 0.0 0.0


Input: 0.14282861 0.0036328912 0.0031771522 0.0031511101 0.0031728118 0.0029427721 0.0029557934 0.0029905164 0.0031945137 0.0030035374 0.00291673 0.0031684716 0.003276981 0.002695371 0.010021918 0.0032075348 0.003324725 0.0026866903 0.002695371 0.002730094 0.0029254106 0.009870006 0.0025955425 0.0023177587 0.002812561 0.0028342628 0.0027344343 0.0027474554 0.0032031946 0.003020899 0.0028038803 0.0028559647 0.0038021659 0.0027344343 0.0035721262 0.002973155 0.0031554503 0.0027604767 0.0027951996 0.0024609908 0.0026693288 0.002521756 0.002530437 0.0027561362 0.0031163872 0.0027604767 0.010021918 0.0026085635 0.0040365458 0.0110549275 0.0041971398 0.00420148 0.0039019943 0.0034896592 0.0031120467 0.0033290654 0.0034766379 0.003324725 0.003407192 0.0031641312 0.0041493955 0.003407192 0.0034332343 0.0031380889 0.004257905 0.0036806355 0.0035113608 0.0031380889 0.0041493955 0.0034592764 0.010811866 0.0033290654 0.010390851 0.003255279 0.0030990257 0.002986176 0.0034462553 0.0034896592 0.0104689775 0.0032509386 0.0033420864 0.0036806355 0.0028906877 0.0028299226 0.0028342628 0.0031337487 0.0027734977 0.002882007 0.002964474 0.0027691573 0.0027257537 0.002638946 0.0034462553 0.010447275 0.0027865188 0.002612904 0.0028993685 0.0030729834 0.0027127324 0.002964474 0.010238937 0.0036111895 0.0026172444 0.0027648169 0.0028255822 0.0031814927 0.0028082207 0.0025738406 0.0033334056 0.0024566506 0.0029688145 0.0029601336 0.0027040518 0.0026823499 0.0032726405 0.0030643025 0.0033898305 0.0030729834 0.0027474554 0.002556479 0.002660648 0.00256516 0.002530437 0.0025391176 0.0032379176 0.0032856616 0.002951453 0.0028516243 0.0033073635 0.0031250678 0.0022135896 0.009861325 0.002495714 0.002695371 0.0026346059 0.0023611623 0.0024870331 0.0025738406 0.002612904 0.0031554503 0.009787539 0.0032118752 0.0024653312 0.002356822 0.0025738406 0.002556479 0.0025738406 0.0024609908 0.002287376 0.0025608195 0.002183207 0.0019444866 0.002356822 0.002287376 0.0024870331 0.002660648 0.0024436293 0.0022786953 0.0025043946 0.0025825214 0.0024913736 0.002578181 0.0031163872 0.002999197 0.002508735 0.0024045662 0.0024609908 0.0023915449 0.009366523 0.002274355 0.0020399748 0.0020833786 0.0022917164 0.0024870331 0.0030816642 0.0025130755 0.002591202 0.002591202 0.0023872047 0.0021745265 0.0024826927 0.0025477984 0.0023785238 0.002543458 0.002599883 0.009579201 0.0023655028 0.0028429436 0.0026563075 0.002638946 0.0022917164 0.009479373 0.0031901733 0.0027995398 0.0026780094 0.0030946853 0.0023134183 0.0021962281 0.002612904 0.0025695001 0.0029557934 0.0026432865 0.0024219276 0.0024566506 0.0024913736 0.002599883 0.0027170728 0.0026172444 0.0027821783 0.0026563075 0.0023741834 0.009488053 0.002556479 0.002356822 0.0025608195 0.0023611623 0.0029254106 0.0026302654 0.0024913736 0.009462011 0.00967903 0.0029688145 0.0024826927 0.002322099 0.0030295795 0.0027170728 0.0023134183 0.009492394 0.0026519673 0.0023394604 0.0023481413 0.0026302654 0.0027734977 0.003185833 0.0027778381 0.0028212417 0.0026910307 0.0023958853 0.0025477984 0.0029210704 0.0024609908 0.0024696717 0.002274355 0.0021267822 0.009427288 0.0022005686 0.0024045662 0.0025174157 0.0027431152 0.0024089064 0.0024392891 0.0023828642 0.002530437 0.0024653312 0.0028082207 0.006779661 0.09417041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010704964 0.00014670333 0.00020144338 9.4152885e-05 0.00029997548 5.0360846e-05 0.00017735777 0.0003196819 0.00045543723 4.1602438e-05 0.00018830577 5.6929654e-05 0.00026275223 6.349846e-05 0.00029121706 9.853209e-05 0.007692072 0.0 2.1896021e-06 0.0074249404 0.0072475825 2.1896021e-06 4.1602438e-05 1.094801e-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 0.0014626541 2.4085622e-05 3.0654428e-05 0.0019925379 0.0006196574 1.094801e-05 7.882567e-05 8.101528e-05 6.568806e-06 1.094801e-05 2.8464827e-05 1.9706418e-05 1.3137612e-05 0.0 8.539448e-05 1.9706418e-05 0.0037398404 6.787766e-05 8.758408e-05 0.0011145074 0.001469223 0.00019268498 0.0010860426 0.0005517797 6.1308856e-05 9.853209e-05 8.539448e-05 6.787766e-05 0.000105100895 8.539448e-05 5.2550447e-05 0.0001029113 0.0036216017 0.00052988366 0.00017954737 0.0002211498 0.0007794983 0.0003350091 0.0016991312 0.00084299676 0.000120428114 9.196329e-05 9.4152885e-05 6.1308856e-05 0.0001094801 7.444647e-05 8.101528e-05 0.00012699692 0.0053732833 9.4152885e-05 0.0004357308 0.0003174923 0.00091744325 0.0005057981 0.00083861756 0.000225529 0.00048390205 0.00024304583 0.0004488684 1.7516817e-05 0.0004379204 0.00030216508 0.0005846237 0.0022268253 0.006689234 0.0014998774 0.00080358394 0.002564024 0.0013247093 0.0005474005 0.0014998774 0.0018786786 0.0011145074 0.00028026907 0.00041821398 0.0004116452 0.0006612598 0.00059776136 0.0013268988 0.00080358394 0.0022355837 0.00029559628 0.0006962934 0.00052331487 0.0007751191 0.0012371251 0.00040288677 0.0003371987 0.00068534544 0.00012480731 0.00012699692 0.00035909473 0.00025837304 0.00016640975 0.00017516816 0.00056929654 0.011131937 0.006146213 0.006295106 0.0061243167 0.017035104 0.0064899805 0.0063454667 0.0010181649 0.013450725 0.00048171246 0.006073956 0.011791007 0.0017407336 0.01727158 0.006562237 0.007602298 0.0477596 0.04346798 0.04463504 0.044650365 0.04655094 0.04549336 0.04186081 0.040840458 0.041230205 0.03736118 0.039690915 0.041455735 0.03883478 0.0437373 0.04061493 0.03894645 1599.0 7.025016 11233.0 0.0052523813 0.0046292176 0.02189976 0.004807264 0.005786522 0.006231639 0.010860857 0.004807264 0.0054304283 0.004896288 0.0052523813 0.004985311 0.004718241 0.004985311 0.0076560136 0.004807264 0.02011929 0.021187572 0.022879018 0.020920502 0.019763198 0.013887652 0.011840114 0.012374255 0.012730348 0.01175109 0.010326716 0.012285231 0.027775304 0.012552301 0.011573044 0.009614528 0.011127926 0.017893706 0.013175465 0.013086442 0.023324134 0.014421793 0.013264488 0.01540105 0.012908394 0.014688863 0.008813318 0.010148669 0.014688863 0.011929138 0.014688863 0.009792576 0.010682809 0.022344876 0.0076560136 0.007923083 0.005875545 0.005786522 0.00729992 0.0064987093 0.008190154 0.005608475 0.0064987093 0.005608475 0.012374255 0.013531559 0.0053414046 0.0055194516 0.0052523813 0.013887652 0.006053592 0.010326716 0.012552301 0.027330188 0.005163358 0.0074779666 0.0063206623 0.0150449565 0.005964569 0.004896288 0.0150449565 0.0072108964 0.012018161 0.013531559 0.0064987093 0.0050743343 0.015133981 0.01094988 0.015579097 0.009080389 0.0050743343 0.004807264 0.0052523813 0.007923083 0.0043621473 0.004095077 0.0052523813 0.0052523813 0.008012108 0.004896288 6.3949137 0.0 0.0 0.0 6.0 230395.0 323584.0 0.0 0.0 96.0 0.0 1.0 0.0 0.0 0.0 933252860.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 6.0 4.0 5.0 0.0 4.0 0.0 10240.0 1024.0 4096.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126464.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7264667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2894754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.884472 0.0 3.7398207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129024.0 0.0 3384.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5964.0 3384.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.7283396 0.0029092405 0.0023094895 0.0016918354 0.002300538 0.0012442599 0.00048338153 0.00090410246 0.0016023202 0.00040281794 0.0003491089 0.00032225435 0.0011815993 0.00051918754 0.00046547852 0.0019424777 0.0009399085 0.00042967245 0.00023273926 8.9515095e-05 0.0008682964 0.0023094895 0.00025064228 0.00019693321 0.00034015736 0.00015217566 0.00011636963 0.00017903019 0.00030435133 0.0003491089 0.00016112717 0.00022378775 0.00042072096 0.00015217566 0.00015217566 0.00017007868 0.0010025691 0.00017007868 0.00019693321 0.00079668436 0.00043862397 0.00038491492 0.00010741811 7.161208e-05 0.00042967245 0.00012532114 0.0004475755 0.00025064228 0.00035806038 0.0011189387 0.0004475755 0.0003759634 0.00082353887 0.0011457932 0.00059975113 0.00071612076 0.00094886 0.0018171564 0.00078773283 0.00077878137 0.0014590961 0.001315872 0.00079668436 0.00093095703 0.0070537897 0.0025690834 0.0013427264 0.0010383751 0.001387484 0.0036432645 0.0011547448 0.0011099871 0.00074297533 0.00082353887 0.00094886 0.0006982178 0.00094886 0.0011457932 0.0018619141 0.00087724795 0.004708494 0.0010383751 0.0010383751 0.0017007869 0.00095781154 0.0013516779 0.0016202233 0.0012084538 0.0008145874 0.0010652296 0.00076982984 0.0010562781 0.001315872 0.0013069204 0.0010920842 0.0009936176 0.0007608783 0.0018619141 0.0010562781 0.0013427264 0.0018529625 0.0029360952 0.0012174053 0.0010383751 0.0027660164 0.0014769991 0.0025869864 0.0006803147 0.0019066716 0.0008682964 0.0013785325 0.001333775 0.0031867374 0.0008593449 0.0017634474 0.0020946532 0.0031509313 0.0028107741 0.00079668436 0.0016202233 0.0012084538 0.0010383751 0.00095781154 0.0005102361 0.0015754657 0.0011368417 0.0006266057 0.00074297533 0.002121508 0.0009936176 0.00058184814 0.0031688344 0.0014680476 0.004180355 0.0007340238 0.0005370906 0.0013427264 0.00456527 0.0013427264 0.0039118095 0.0012442599 0.005881142 0.0005728966 0.0008861995 0.0012979689 0.00059975113 0.00087724795 0.00051918754 0.0010831327 0.0010562781 0.0005549936 0.00041176943 0.0008414419 0.0011636963 0.00033120587 0.00022378775 0.0005728966 0.00025064228 0.0002685453 0.00029539983 0.00047443 0.000913054 0.00046547852 0.0007519268 0.0005370906 0.0003759634 0.00023273926 0.00017903019 0.00032225435 0.0001879817 0.00029539983 0.00017903019 0.00077878137 0.0001879817 0.00029539983 0.0001879817 0.00038491492 0.00019693321 0.00025064228 0.00025064228 0.00039386642 0.0004475755 0.0005370906 0.00020588472 0.0008145874 0.0003670119 0.00040281794 0.0002774968 0.0008145874 0.00041176943 0.00076982984 0.0006803147 0.0020051382 0.00059975113 0.00077878137 0.0011636963 0.0009399085 0.0002864483 0.0011099871 0.000984666 0.00051918754 0.00014322416 0.0005728966 0.00011636963 0.0005728966 8.9515095e-05 0.00085039344 0.0003670119 0.00043862397 0.00059975113 0.0002685453 0.00019693321 0.00024169077 7.161208e-05 0.00012532114 0.0001879817 0.0005639451 0.00047443 0.0003491089 0.000456527 0.00040281794 0.00025064228 0.00017007868 0.00012532114 0.000492333 0.00035806038 0.0005549936 0.00041176943 0.00020588472 0.00041176943 0.00066241174 0.00025064228 0.0024258592 0.0007250723 0.0001879817 0.00142329 0.0012174053 0.00017903019 0.00015217566 0.000456527 0.0005728966 0.00017007868 0.0011995023 0.000456527 0.0005102361 0.00077878137 0.00078773283 0.0005460421 0.0017007869 0.00046547852 0.0007519268 0.0005370906 0.0019603807 0.00059975113 0.0013427264 0.03165254 0.6203704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016945168 1.808449e-05 1.808449e-05 4.5211225e-05 0.0 0.0 0.0 5.4253473e-05 0.0 0.0 9.042245e-06 0.0 9.042245e-06 0.0 0.0 0.0014196326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008124458 8.138021e-05 7.685908e-05 4.0690105e-05 6.781684e-05 4.0690105e-05 0.000113028065 4.973235e-05 6.3295716e-05 6.781684e-05 9.042245e-05 3.616898e-05 5.8774596e-05 8.590133e-05 6.781684e-05 0.00019440828 0.0152994795 3.1647858e-05 0.000108506945 0.000113028065 0.00015371817 0.00013563369 0.00027126737 0.00021249277 0.00017180266 0.00026674624 0.00011754919 0.00016728154 0.0002983941 0.00015823929 0.00019440828 0.0008183232 0.0068766274 2.2605613e-05 3.1647858e-05 2.7126736e-05 0.00032552084 0.00013111255 0.0009720414 0.00074146414 2.2605613e-05 1.808449e-05 1.808449e-05 1.808449e-05 1.808449e-05 1.808449e-05 9.042245e-06 9.042245e-06 0.0067274305 3.616898e-05 4.5211225e-05 3.616898e-05 0.0003390842 0.00013111255 0.000994647 0.00075050635 3.616898e-05 1.808449e-05 4.973235e-05 1.808449e-05 1.808449e-05 1.808449e-05 3.1647858e-05 9.042245e-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 0.0057192203 0.000103985825 9.494358e-05 7.685908e-05 8.590133e-05 6.3295716e-05 0.00013563369 0.00048376012 8.590133e-05 0.00013563369 9.94647e-05 7.685908e-05 0.00016728154 0.0003390842 0.00033004195 0.0012613932 0.012157299 0.00012659143 0.00018988716 0.00019440828 0.00023509839 0.0001808449 0.00033004195 0.00017632378 0.0011031539 0.002061632 0.00075502746 0.00088614004 0.0011845342 0.0008454499 0.0014919705 0.015118634 0.017456055 0.0004204644 0.0005606192 0.0011212385 0.0019350405 0.0013066045 0.0030788844 0.002432364 0.0019983363 0.00061487267 0.00034812646 0.00045211226 0.00062843604 0.00051088684 0.0010443793 0.0031286168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018491392 0.0003209997 0.00047471788 0.0066279657 0.008911133 0.008563006 0.011858905 0.008612739 0.0074915 0.004688404 0.002061632 0.0020797164 0.0009720414 3.616898e-05 7.685908e-05 0.00018988716 0.031674985 0.004643193 0.0030472367 0.004344799 0.010588469 0.008047598 0.0041503906 0.0072564017 0.017917208 0.0016140408 0.0019079138 0.002721716 0.006017614 0.0024775753 0.0054072626 0.017813222 0.0073196976 0.0013653791 0.0006419994 0.001437717 0.0042182077 0.0029387297 0.0023600261 0.0026674625 0.0041820384 0.00044307002 0.00069173175 0.00054253475 0.0016999422 0.00048376012 0.0015417029 0.0045030382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 328.0 16.969513 5566.0 0.0016169602 0.0005389867 0.00035932448 0.00035932448 0.00071864895 0.00017966224 0.00017966224 0.00071864895 0.00017966224 0.00017966224 0.00035932448 0.00017966224 0.00071864895 0.0005389867 0.005210205 0.0019762847 0.0014372979 0.005210205 0.0073661515 0.0059288535 0.008623787 0.011678046 0.009522098 0.0125763565 0.008623787 0.015989939 0.013833992 0.01042041 0.014193317 0.013115343 0.013295005 0.014552641 0.009881423 0.021020481 0.015091628 0.014193317 0.017427238 0.016169602 0.017067913 0.017247574 0.011318721 0.014732303 0.013833992 0.01042041 0.015450953 0.013295005 0.012396694 0.010600071 0.009522098 0.009162774 0.011318721 0.011498383 0.008084801 0.009162774 0.0073661515 0.0055695293 0.004132231 0.0039525693 0.0046712183 0.0021559468 0.0059288535 0.0070068273 0.004132231 0.005210205 0.0035932446 0.024793388 0.008983112 0.012037369 0.024254402 0.049227454 0.011678046 0.013115343 0.018145885 0.02173913 0.008983112 0.007905139 0.030722242 0.013295005 0.021559468 0.018325549 0.017067913 0.007905139 0.022637442 0.014193317 0.031620555 0.013833992 0.0111390585 0.008444125 0.012037369 0.009881423 0.0077254763 0.006108516 0.010779734 0.007186489 0.0062881783 0.005389867 6.1720257 0.0 0.0 0.0 3.0 111713.0 167936.0 0.0 0.0 28.0 0.0 1.0 0.0 0.0 0.0 1299095800.0 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 2.0 50.0 4.0 0.0 4.0 0.0 18944.0 1024.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 79872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7255936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3341854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3397145 0.0 0.606021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18886.0 0.0 81920.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 30452.0 9820.0 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 0.0 116.0 30608.0 0.0 0.0 0.0 0.0