Input: 0.13481393 0.006776943 0.0067659593 0.00469004 0.009087182 0.0035257677 0.0031962567 0.0031340157 0.006436448 0.0032511752 0.0034452206 0.0029546153 0.0043349005 0.0030424849 0.0030315013 0.0043568676 0.0043385616 0.0043824962 0.0030498074 0.0025848309 0.0034415594 0.003924842 0.0026067982 0.0027312802 0.003404947 0.0029363092 0.0029765829 0.0026397493 0.0034745105 0.0025848309 0.0029363092 0.0027532475 0.0041005816 0.0026507329 0.002947293 0.0026580554 0.00970593 0.0025775083 0.002727619 0.0027386027 0.0031889342 0.0027752148 0.0026470718 0.0025482185 0.0033939634 0.0025445572 0.0031340157 0.0027166351 0.003419592 0.0032731427 0.0031340157 0.0029436317 0.0033170774 0.0027495862 0.002885052 0.0025079448 0.0032292078 0.0029106806 0.002885052 0.0028557621 0.0042287246 0.0029436317 0.002841117 0.0027569088 0.0046534277 0.003873585 0.0060520186 0.0039797607 0.006257048 0.004565558 0.0040053893 0.0031852731 0.0034745105 0.00329511 0.002778876 0.0030205175 0.003419592 0.0030937423 0.003137677 0.0035697026 0.0048071994 0.0032987713 0.0038150053 0.0041042427 0.003778393 0.0031486608 0.0032438529 0.002994889 0.0030607912 0.0026617167 0.0026397493 0.0027312802 0.0029802439 0.0031486608 0.0029619378 0.0028301333 0.0032475141 0.0033207387 0.0027386027 0.0029875664 0.0035880087 0.0046351217 0.0031010646 0.0030681137 0.0029363092 0.0038223276 0.0025079448 0.002665378 0.00382965 0.002698329 0.0034781718 0.0034232533 0.0030827585 0.0026251043 0.00356238 0.0035843474 0.0052978047 0.0035953312 0.0029399705 0.0028960356 0.0032987713 0.0029912277 0.002398108 0.002573847 0.0029582765 0.0029216642 0.002603137 0.002822811 0.0040712915 0.0035221064 0.003448882 0.0051733227 0.0032511752 0.0052941437 0.0027019903 0.00276057 0.00302784 0.008750347 0.0027752148 0.005678573 0.003309755 0.004016373 0.0028667457 0.0029143419 0.0030095337 0.0031010646 0.0030498074 0.003013195 0.0029143419 0.0030974036 0.0027019903 0.0029729216 0.0027715536 0.0029875664 0.002870407 0.0028337946 0.0027019903 0.0029729216 0.0027386027 0.0030168563 0.0032218853 0.00549185 0.0027678926 0.0028667457 0.002636088 0.0027715536 0.0027569088 0.0028337946 0.0027129739 0.0028594232 0.0031413382 0.0025372347 0.0025335734 0.0026543941 0.002665378 0.0028045047 0.0027495862 0.0026104595 0.0026287655 0.0028740682 0.0029106806 0.0028557621 0.0030058727 0.002994889 0.0028923743 0.0027935212 0.0030534687 0.003119371 0.0033207387 0.0032035792 0.0031303545 0.0028594232 0.0052502085 0.0032511752 0.0032401916 0.0030864198 0.0028154885 0.0028630844 0.00329511 0.0066597834 0.0030095337 0.003342706 0.0027312802 0.0028557621 0.0026873453 0.0027239576 0.003280465 0.0030607912 0.003716152 0.0031962567 0.0030388236 0.0036319436 0.003152322 0.0031779506 0.0028484396 0.00302784 0.002932648 0.0030095337 0.0028887133 0.0029729216 0.0027349414 0.0030974036 0.0030717747 0.0030498074 0.0031633056 0.0029436317 0.0032072405 0.0028630844 0.0028118272 0.0032731427 0.0029180031 0.0029875664 0.004594848 0.0033134161 0.002870407 0.0034305756 0.0037307967 0.0029070193 0.0030058727 0.0027495862 0.0031559833 0.0029912277 0.002870407 0.0028154885 0.0028447784 0.0024200752 0.0029180031 0.0029912277 0.003199918 0.003075436 0.0027093126 0.0032731427 0.0028740682 0.00276057 0.0042470307 0.023494136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003528523 5.5277123e-06 1.1055425e-05 1.1055425e-05 2.211085e-05 1.6583137e-05 1.28979955e-05 5.5277123e-06 1.28979955e-05 7.370283e-06 1.28979955e-05 1.28979955e-05 3.1323703e-05 3.1323703e-05 2.7638562e-05 2.395342e-05 0.0135318395 5.1591982e-05 6.264741e-05 9.581368e-05 5.3434553e-05 8.4758256e-05 0.000103183964 9.212854e-05 0.00029481133 9.212854e-05 0.00012529481 9.949882e-05 0.000105026535 0.0001381928 7.001769e-05 9.397111e-05 0.0031784344 2.211085e-05 3.6851416e-06 1.8425708e-06 1.28979955e-05 2.7638562e-05 2.211085e-05 3.8693986e-05 3.5008845e-05 2.9481133e-05 3.5008845e-05 3.6851416e-05 4.790684e-05 5.7119694e-05 6.264741e-05 0.00016214623 0.0028357164 2.9481133e-05 9.212854e-06 1.1055425e-05 5.8962265e-05 6.0804836e-05 1.6583137e-05 3.5008845e-05 2.7638562e-05 1.8425708e-05 2.395342e-05 2.9481133e-05 9.028597e-05 3.6851416e-06 1.4740566e-05 0.0005085495 0.025195312 0.00037956957 0.0006320018 0.00030586674 0.0012861143 0.001601194 0.0006172612 0.00030770933 0.0007259729 0.00011239682 0.0001381928 0.00021005307 0.0002892836 0.00025611735 0.00037035672 0.0015348614 0.023901828 0.00030770933 0.00056382664 0.00042563386 0.0010797464 0.0011884582 0.0011884582 0.00073150056 0.00057119696 0.0002211085 0.00017135908 0.00023400648 0.0003408756 0.00070017687 0.00050117925 0.0018352005 0.004858859 4.974941e-05 7.923054e-05 9.028597e-05 0.00014003538 0.00010134139 0.00017320165 0.0001197671 0.000103183964 0.00011792453 0.00013635024 0.00010134139 0.00016030365 0.00080336083 0.00015293337 0.0003593013 0.012916421 0.0004532724 0.0005232901 0.0010852742 0.0009949883 0.0007075472 0.0024966833 0.0013856132 0.00039431013 0.00027270048 0.0014666864 0.0003150796 0.00058962265 0.00041457842 0.0004532724 0.0019457547 0.0046875 5.8962265e-05 8.1073114e-05 0.00019162736 0.0004864387 0.00031692217 0.0013174381 0.0007830926 0.00018794222 0.00017504422 0.00017135908 0.0002708579 0.00040536557 0.00065779773 0.00038141216 0.0011479215 0.016104069 0.00087706366 0.0011147553 0.00095629424 0.0022000296 0.0012824292 0.0026459317 0.0016067217 0.003176592 0.0008309994 0.0017651828 0.0011810878 0.0014169369 0.0013635023 0.0014537884 0.0073076356 0.0031747494 0.00025058963 0.0006743809 0.0008144163 0.00059883547 0.00036298644 0.0010134139 0.00065595517 0.000897332 0.00017504422 0.00018609964 0.00022479364 0.00031876474 0.00040168042 0.0003150796 0.0012566332 0.03184515 0.005091023 0.007843824 0.0025445903 0.0096845515 0.0060030953 0.0018591539 0.0035616893 0.013172538 0.0016619988 0.0018591539 0.0021410673 0.006856206 0.003102889 0.005328715 0.010651901 0.01158977 0.0027435878 0.0019733934 0.0016933226 0.003580115 0.002091318 0.0013192807 0.0016472583 0.0033203126 0.0016914799 0.0020710495 0.0020452535 0.0030383992 0.001940227 0.0019733934 0.0025648584 0.044984523 0.040442586 0.03948445 0.040685806 0.042248305 0.038421284 0.039252285 0.039145418 0.040763192 0.041338075 0.039121464 0.040110923 0.040494177 0.03965581 0.039716613 0.039418116 1153.0 8.52385 9828.0 0.01831502 0.005087505 0.009666259 0.0044770045 0.006206756 0.0053927554 0.004884005 0.006105006 0.0063085062 0.0064102565 0.0056980057 0.0044770045 0.0055962554 0.0064102565 0.0126170125 0.0076312576 0.00946276 0.011599512 0.01058201 0.00946276 0.0059015057 0.0076312576 0.007834758 0.0065120067 0.006817257 0.008547009 0.008852259 0.005087505 0.024318274 0.008241759 0.007020757 0.006003256 0.0055962554 0.016687017 0.006715507 0.0147537645 0.00956451 0.011396011 0.00956451 0.011701262 0.007733008 0.01007326 0.0042735045 0.005799756 0.0083435085 0.007020757 0.008445258 0.0071225073 0.01017501 0.005291005 0.009055759 0.012820513 0.008648759 0.0075295074 0.0075295074 0.006919007 0.0075295074 0.005799756 0.006003256 0.0051892553 0.0056980057 0.0051892553 0.0051892553 0.005799756 0.0054945056 0.025234025 0.00997151 0.015974766 0.01953602 0.053418804 0.01027676 0.011701262 0.009055759 0.02910053 0.0053927554 0.006105006 0.025946276 0.013634514 0.025742775 0.026353277 0.0130240135 0.007020757 0.027879529 0.024013024 0.035917785 0.014245015 0.008038258 0.009055759 0.008750509 0.009361009 0.005291005 0.004782255 0.0055962554 0.006105006 0.0051892553 0.0044770045 6.2936335 0.0 1.0 0.0 2.0 273132.0 31264768.0 0.0 0.0 152.0 0.0 1.0 0.0 0.0 0.0 865827900.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 26.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 8.0 1.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 -5120.0 30905752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.2980576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.956159 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9650035 -5.401221 7.5675445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109824.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35620.0 -4732.0 30906776.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4732.0 184320.0 30900124.0 356352.0 0.0 0.0 15256.0 30920712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.3349667 0.02549043 0.011907999 0.008038538 0.010082701 0.0033467344 0.0030513718 0.0019825418 0.013926665 0.0030301227 0.0047598 0.0018741713 0.0046811784 0.0015979329 0.0017488016 0.0019570428 0.019799918 0.003948084 0.0015108115 0.0032553633 0.004568558 0.0013004454 0.0031767415 0.001141077 0.003665471 0.009940333 0.0015341856 0.0009944582 0.0018826709 0.0014619386 0.0007883419 0.0006799714 0.0038652127 0.0025137693 0.001166576 0.0006948458 0.006117618 0.0009689593 0.0009328358 0.00076284294 0.0022779044 0.0008372148 0.001119828 0.0008924625 0.0020080407 0.0017912998 0.0010645803 0.001045456 0.008087411 0.002526519 0.0022120322 0.0042561963 0.0053314012 0.0019187944 0.0018040492 0.0016744296 0.0036080985 0.0018125488 0.0015596845 0.0015171863 0.0026497636 0.0013110699 0.001572434 0.0017318022 0.0036038486 0.0038227146 0.002027165 0.0027687587 0.008695135 0.0037058443 0.0023204025 0.0017806753 0.004239197 0.0049574166 0.00065659743 0.0007458437 0.004808673 0.0027942576 0.001619182 0.0015618094 0.00476405 0.001285571 0.0027071363 0.003931085 0.0033743582 0.0022290314 0.0020420393 0.0120694935 0.0015894333 0.0005291028 0.0008159657 0.0006247238 0.0019336687 0.0008924625 0.0007203447 0.0042753206 0.005809506 0.0102654435 0.0021015368 0.0043666917 0.0080937855 0.020928247 0.0017148029 0.0026242647 0.012915208 0.008537891 0.0008775881 0.001143202 0.009060619 0.0025668922 0.010331316 0.008554891 0.0066552204 0.00060559955 0.011281151 0.0073691905 0.015983578 0.0050275386 0.0030301227 0.0011984496 0.0027262606 0.0026731377 0.0005546017 0.00048447965 0.0012430728 0.0004568558 0.00045260598 0.0015830585 0.009338982 0.00071397 0.0007692177 0.0019719172 0.0013875667 0.0011963247 0.0007755924 0.00043773162 0.0024372726 0.0012260735 0.00050572876 0.0038630879 0.0029642505 0.001689304 0.0012218237 0.00047810492 0.0017041784 0.00040160812 0.00047598002 0.00040798285 0.0012281984 0.0004356067 0.0004929793 0.0003378608 0.0012175739 0.000356985 0.0004164825 0.00038248394 0.0011729507 0.0003782341 0.006217489 0.0005163533 0.0014916874 0.00047598002 0.00031873662 0.00040798285 0.0025392685 0.00033361098 0.00040798285 0.00043773162 0.0013153198 0.00039098357 0.00080321624 0.0003931085 0.0012749465 0.00043773162 0.0005291028 0.00043773162 0.0020356644 0.0004313569 0.00048447965 0.00038460884 0.0016106823 0.00041223268 0.0009179615 0.0006693469 0.0016213069 0.00040798285 0.0005163533 0.0004164825 0.001404566 0.00046535546 0.00046323054 0.0004186074 0.0020250399 0.00050572876 0.0010858293 0.0005737259 0.0017764254 0.0004568558 0.0005163533 0.00057585083 0.0017658009 0.00045898074 0.001308945 0.0003378608 0.0044410634 0.00034848537 0.00041010778 0.00034636047 0.0014364397 0.00032298642 0.0004738551 0.00038035904 0.0011708258 0.00034211064 0.00042073234 0.00032723625 0.001285571 0.00028048822 0.00034423554 0.00036973448 0.0014300649 0.00033148608 0.00038035904 0.0002358651 0.0018231734 0.00028686295 0.00039948322 0.00028048822 0.0010497059 0.0007054704 0.00037398428 0.00030386224 0.0019464182 0.00042710706 0.00034211064 0.00036123482 0.0015766838 0.0002741135 0.0006077245 0.00030173734 0.0015448101 0.0003378608 0.00036548465 0.0003166117 0.0014725631 0.0002592391 0.000356985 0.00044198145 0.0013896916 0.00040798285 0.00042073234 0.0005291028 0.0019272941 0.000643848 0.00059709995 0.050855488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010221923 9.0619884e-05 0.00028678527 0.00021002491 0.0002814547 9.4884344e-05 0.0001513885 0.0001513885 4.051242e-05 1.5991744e-05 1.9190093e-05 4.797523e-05 3.1983487e-05 9.595046e-06 4.3710766e-05 0.001403009 0.08560807 0.0022964145 0.0025608114 0.0020757283 0.0029232907 0.0011983147 0.0017185794 0.0015448024 0.0007686698 0.00022814889 0.00027185964 0.00034222333 0.00034862003 0.0002899836 0.00019936374 0.008978832 0.040764023 0.0033028282 0.0013091908 0.0016812653 0.0020767944 0.0005852978 0.0011204882 0.00078892603 0.0015522653 0.00014819016 0.00015565298 0.00032303322 0.00031237205 0.00019509927 0.00022068607 0.0022324475 0.14492892 0.018676225 0.0066259126 0.0042665973 0.0076781693 0.0021162408 0.0049190605 0.001337976 0.00797455 0.0013710256 0.0018816952 0.0022260507 0.001118356 0.0013059925 0.000990422 0.01529024 0.04084718 0.0050683166 0.002107712 0.0012804057 0.0025266956 0.00094244676 0.0040043327 0.0017324389 0.0017964059 0.0007345541 0.00058636395 0.00086781866 0.0003539506 0.00038273574 0.00054158707 0.006096053 0.01029975 0.0018934224 0.0005970251 0.00041578535 0.0007281574 0.00033795886 0.0015074884 0.001182323 0.0002899836 0.000183372 0.00023774392 0.00025373566 0.00016951248 0.0001631158 0.00020469433 0.0033699935 0.01086799 0.0017345712 0.0013251825 0.0012175047 0.0018166621 0.0018870258 0.006136565 0.003695159 0.0006673888 0.0004978763 0.0004467027 0.0003262316 0.00040938865 0.00023454557 0.00025373566 0.0012345626 0.041023087 0.012708106 0.004585366 0.019514192 0.0125812385 0.014224123 0.045033816 0.022442814 0.0043753413 0.0069244253 0.0031898199 0.0022047285 0.003328415 0.0021631499 0.002255902 0.008685649 0.025631567 0.0060736644 0.0031045305 0.0060096974 0.013264619 0.015708158 0.03754435 0.021814872 0.0034446216 0.002156753 0.0015053562 0.0018454472 0.0046098866 0.0014339264 0.0020735962 0.0066173836 0.006861524 0.0021237037 0.0005053391 0.0009413807 0.0010949014 0.0018582407 0.0013273148 0.0013816867 0.0046887794 0.0007867938 0.00037953738 0.0009040666 0.0022878854 0.00048828125 0.0009914881 0.0039467625 0.010417022 0.0035725557 0.0029232907 0.0035618944 0.0029702 0.0030480265 0.004128002 0.0032207372 0.003437159 0.001466976 0.0016801993 0.0016748686 0.0024371417 0.001411538 0.0017217777 0.0025469519 0.0053028623 0.0021205053 0.0020085631 0.0023092078 0.0021834061 0.0017921415 0.0023870342 0.001998968 0.0019062159 0.001604505 0.0015650587 0.0015874471 0.0014840339 0.0014168685 0.0015234802 0.0015607942 4396.0 22.190401 97549.0 0.0071553783 0.0004920604 0.0004203016 0.0003997991 0.0017632165 0.0008406032 0.0007893469 0.0005740705 0.0018964828 0.0007995982 0.00095336704 0.000871357 0.0024397995 0.0014146736 0.002142513 0.0017632165 0.01832925 0.0059969863 0.004766835 0.0041722623 0.006181509 0.0035366842 0.0033521615 0.0032393977 0.0055356794 0.0031983927 0.002583317 0.0019272366 0.0031471364 0.0024090458 0.0022860307 0.0024090458 0.0017632165 0.016002214 0.007032363 0.010702314 0.012988345 0.007811459 0.006591559 0.0049718604 0.004592564 0.021199603 0.0005023117 0.0012916585 0.006581308 0.010610052 0.0049103526 0.0054434184 0.011542917 0.000635578 0.010466535 0.016012466 0.009308143 0.0043055285 0.006981107 0.05481348 0.0022757794 0.00068683433 0.0009021107 0.00030753776 0.002306533 0.0006048242 0.00058432174 0.018667541 0.0017632165 0.047596592 0.0083342735 0.019333873 0.032137696 0.09848384 0.005279398 0.010866334 0.011501912 0.03919056 0.0011276384 0.0038647244 0.027821915 0.010763821 0.047945134 0.039457094 0.017222114 0.0004408041 0.05075398 0.03350111 0.07064142 0.020943321 0.013039601 0.004049247 0.007944725 0.010968846 0.0007688444 0.00030753776 0.0017632165 0.0003485428 0.0002972865 0.00035879403 5.440023 0.0 39.0 13.0 3.0 470608.0 458752.0 1.0 6.0 79.0 1.0 1.0 1.0 0.0 0.0 1540802200.0 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 -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 0.0 502.0 21.0 10.0 0.0 5.0 1.0 5.0 1.0 24064.0 1024.0 4096.0 6.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84992.0 0.0 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 0.0 0.0 0.0 -26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.043849 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.871824 0.0 0.0 5.3467546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5710673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2760987 0.0 5.117079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15954.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84982.0 0.0 0.0 725.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22740.0 0.0 294520.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230.0 117520.0 160.0 115628.0 294520.0 147456.0 0.0 0.0 23120.0 447488.0 15000.0 442368.0 28.0 33136.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 115304.0 0.0 0.0 344.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14170924 0.012106551 0.0065072007 0.0069865007 0.016888272 0.004031758 0.005294854 0.0037047062 0.01589584 0.0023570277 0.0030280475 0.001618342 0.008700702 0.00411634 0.0013927891 0.009743885 0.008898062 0.0014040667 0.0013927891 0.0014153444 0.0042291167 0.0036257626 0.00067101984 0.0008401845 0.0021032807 0.00054696575 0.0004849387 0.0007386857 0.0019228384 0.000411634 0.0008627398 0.001268735 0.0038851486 0.00064282573 0.00037780107 0.00054696575 0.0023964995 0.00036652345 0.0003044964 0.00033832932 0.0013645949 0.000411634 0.00031577403 0.001804423 0.0010488209 0.0003552458 0.00033832932 0.00022555288 0.0013025679 0.00055824337 0.00062027044 0.005238466 0.0010826539 0.00053004926 0.00042291166 0.0004792999 0.00080071273 0.000665381 0.00036088462 0.0030618804 0.0007837963 0.00077815744 0.00046802225 0.0004567446 0.0032141285 0.002120197 0.0024641652 0.0019453936 0.0012856515 0.0360941 0.0047986377 0.0019566712 0.0036426792 0.0033832933 0.005712127 0.0023683053 0.0011785139 0.013279426 0.0014435385 0.0009867939 0.015816895 0.005108773 0.0028419665 0.0028757993 0.00060335395 0.005994068 0.005198994 0.0037498167 0.0006879363 0.0032084899 0.00025374698 0.0020468924 0.0007668798 0.0071218326 0.004341893 0.00301677 0.000823268 0.00029885757 0.00016352584 0.00022555288 0.008542815 0.000919128 0.0022216958 0.00014097056 0.0061294 0.00025938582 0.0073417462 0.00024810818 0.00080635154 0.00017480348 0.00024246935 0.00023683053 0.0014097055 0.00046802225 0.00087965623 0.00075560214 0.011001342 0.010871649 0.0012179856 0.0014435385 0.0014378997 0.00064846454 0.00022555288 0.00053004926 0.00064282573 0.0024810818 0.0013871503 0.0024021382 0.002757384 0.0011672362 0.00024810818 0.017497266 0.0021032807 0.015692841 0.00074996334 0.00070485275 0.0008740174 0.02225643 0.00044546695 0.05175311 0.00057515985 0.02187863 0.0004341893 0.00052441045 0.00077815744 0.00017480348 0.00023683053 0.00020863643 0.0007386857 0.0012179856 0.00013533173 0.00016352584 0.0009022115 0.00016916466 0.00016352584 0.00014660938 0.00067665864 0.0003044964 0.00027066347 0.00039471756 0.00058079866 0.0055598784 0.00012405409 0.0028137723 0.00062590925 0.00014097056 0.00015788701 0.0002029976 0.0008740174 0.00025374698 0.00024246935 0.00036652345 0.0010206269 0.00050185516 0.0004341893 0.00028194112 0.0010093491 0.0004623834 0.0002029976 0.00042291166 0.000857101 0.000411634 0.00057515985 0.0014717326 0.0021483912 0.00068229745 0.0014491773 0.00055260456 0.0009247668 0.0004059952 0.00031577403 0.00038907872 0.009591636 0.0056557385 0.0056275446 0.0035750133 0.005232827 0.0027743005 0.016341306 0.016747301 0.003326905 0.002565664 0.00059771514 0.0012574573 0.038885318 0.00054696575 0.002125836 0.0013871503 0.0020863642 0.0008119904 0.0008627398 0.00037780107 0.0017536737 0.00017480348 0.0007894351 0.00036652345 0.002887077 0.00045110576 0.00027630228 0.0010882927 0.0019566712 0.00024810818 0.00031013522 0.00039471756 0.0026220523 0.00055260456 0.00034396816 0.00055260456 0.002373944 0.0036314016 0.00028194112 0.00032141287 0.019797904 0.0018100619 0.00042291166 0.002125836 0.0099694375 0.0003326905 0.0002311917 0.00034396816 0.010882927 0.001646536 0.00063154806 0.00050185516 0.0068342523 0.0013138455 0.0026107747 0.0015337596 0.0026446076 0.0019848654 0.0015957867 0.0018213396 0.021314748 0.0034396816 0.0045674457 0.063763805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011701717 0.0018225382 0.00064725656 0.00063874 0.005149664 0.0020013854 0.0009595294 0.0012803188 0.015718682 0.0009595294 0.0007891988 0.001260447 0.0068359375 0.00070119457 0.0027167741 0.022398483 0.034744617 0.0028700717 0.001442133 0.0013967115 0.013373796 0.0064810817 0.0027650346 0.0039317994 0.019633448 0.000766488 0.0018395712 0.0012831577 0.015165107 0.0019644804 0.0060495776 0.020013854 0.19049498 0.02461846 0.011803916 0.015111169 0.06512309 0.05396927 0.024093272 0.031755313 0.101874776 0.004709643 0.01125034 0.009308571 0.09279047 0.011721589 0.035908543 0.08290845 0.0055073583 0.0014336165 0.00079771527 0.0004911201 0.0022228153 0.0013427734 0.00093681866 0.0009254633 0.0027593568 0.00023278524 0.00034633902 0.00042298783 0.0018821539 0.0005280251 0.0011383767 0.0022881087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61.0 5.9016395 360.0 0.030555556 0.0027777778 0.0027777778 0.0 0.016666668 0.0027777778 0.0055555557 0.0 0.008333334 0.008333334 0.0055555557 0.016666668 0.0 0.0 0.025 0.0 0.0055555557 0.022222223 0.0055555557 0.016666668 0.0 0.0 0.0 0.0 0.0 0.030555556 0.0027777778 0.013888889 0.0 0.0027777778 0.0027777778 0.0027777778 0.030555556 0.011111111 0.008333334 0.016666668 0.011111111 0.0 0.0055555557 0.0055555557 0.0 0.0 0.0027777778 0.011111111 0.025 0.008333334 0.0 0.0027777778 0.072222225 0.033333335 0.0027777778 0.047222223 0.008333334 0.008333334 0.033333335 0.030555556 0.0027777778 0.0027777778 0.0027777778 0.008333334 0.0055555557 0.0055555557 0.016666668 0.008333334 0.011111111 0.016666668 0.0027777778 0.008333334 0.011111111 0.013888889 0.013888889 0.0055555557 0.030555556 0.0055555557 0.027777778 0.0 0.0055555557 0.0055555557 0.011111111 0.011111111 0.011111111 0.0 0.022222223 0.0055555557 0.044444446 0.030555556 0.0055555557 0.016666668 0.0027777778 0.0027777778 0.0 0.0055555557 0.0055555557 0.0027777778 0.0055555557 0.0 5.734827 0.0 0.0 0.0 1.0 177342.0 2875392.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1540373000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 6.0 0.0 6.0 0.0 653312.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -653312.0 0.0 1928704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -653095.0 0.0 1928696.0 0.0 0.0 0.0 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 0.0 0.0 280.0 851788.0 1928696.0 897024.0 0.0 0.0 3088.0 2860032.0 45540.0 2826240.0 112.0 740240.0 0.0 0.0 0.0 0.0 24.0 740504.0 64.0 740352.0 0.0 0.0 1380.0 659456.0 0.0 0.0 0.0 0.0


Input: 0.06853204 0.0034652373 0.0030991575 0.0036882241 0.0031563947 0.0030419203 0.002925061 0.002984683 0.0030371505 0.0029679888 0.0030967726 0.0029608342 0.0027950848 0.0028272807 0.009687401 0.0028439749 0.0099032335 0.0034878938 0.0029095593 0.002941755 0.0029703737 0.0029131365 0.0029059818 0.0029501023 0.0029405628 0.009538346 0.009538346 0.0028570918 0.0029799133 0.009594391 0.0029119442 0.0027974697 0.0030800784 0.0028785558 0.002892865 0.0028511295 0.009763718 0.002839205 0.002814164 0.0029501023 0.0030371505 0.0029930302 0.0028725935 0.0030240337 0.002976336 0.0028654388 0.002833243 0.0029644116 0.0029739512 0.01627803 0.0028904802 0.0031456628 0.003998259 0.0029667965 0.0028582842 0.002730693 0.0030133016 0.0029536795 0.0028582842 0.0028690163 0.0029512946 0.0028809407 0.0029429477 0.009749408 0.0029489098 0.0028189337 0.003555863 0.0029667965 0.009736291 0.0031993226 0.003119429 0.002935793 0.0029155214 0.0030741163 0.009566965 0.0030311884 0.0031230063 0.0029047895 0.0029989923 0.0029322156 0.0029703737 0.0028749784 0.003040728 0.002954872 0.0029691814 0.002903597 0.0029298307 0.0029274458 0.002976336 0.0028773632 0.0029918377 0.0031313535 0.00294414 0.0028487446 0.0029858756 0.0029727586 0.0028642465 0.0030109168 0.003068154 0.0030860407 0.0029858756 0.003065769 0.0030299958 0.0030097244 0.0030538447 0.0029691814 0.0031671268 0.0029989923 0.003264907 0.00314924 0.0028797481 0.0030586144 0.003062192 0.0029024046 0.0030526523 0.0029727586 0.0031051198 0.003478354 0.003213632 0.0032768315 0.0031075047 0.003245828 0.0032100547 0.0038050835 0.0032040924 0.0032160168 0.0030264186 0.0031349307 0.003183821 0.0031695117 0.0030741163 0.0031611645 0.0030729237 0.0034521203 0.0031528175 0.0032601373 0.003078886 0.0031552024 0.0029989923 0.010197766 0.0036631827 0.0032207866 0.003068154 0.0099032335 0.0030908105 0.0030717314 0.003038343 0.0029107516 0.0100630205 0.003292333 0.0031945528 0.003173089 0.0031683191 0.0032064773 0.0030920028 0.0030920028 0.0032494052 0.003087233 0.0032231715 0.00330545 0.0031325459 0.0029501023 0.0028618616 0.0029620267 0.0027855453 0.0029095593 0.0028988272 0.0030049547 0.0029071744 0.003057422 0.0028296656 0.002903597 0.0028403976 0.0030335733 0.0030073395 0.0029465249 0.0030395354 0.0029274458 0.0030323807 0.0028284732 0.002914329 0.0031873982 0.0028940574 0.003534399 0.0030013772 0.0029369853 0.003111082 0.0029083667 0.0029644116 0.0027927 0.0029989923 0.0030049547 0.0033793815 0.002957257 0.016332882 0.0028582842 0.0029775284 0.003453313 0.0029715663 0.0030049547 0.0028833256 0.0029524872 0.002957257 0.0028499372 0.0029369853 0.0027688511 0.002873786 0.002987068 0.0030478826 0.0028320504 0.0030705389 0.0029894528 0.0029369853 0.0027557341 0.0031051198 0.0035546706 0.0031313535 0.0031480477 0.0032637145 0.0031373156 0.0031039272 0.010011746 0.0033281064 0.0031504326 0.0033018726 0.0030419203 0.0031051198 0.0030931954 0.0030848482 0.0028618616 0.009987896 0.0031862059 0.009828109 0.0031671268 0.0030824633 0.0030443051 0.0032219791 0.0031051198 0.0030753086 0.003307835 0.0032315187 0.0030097244 0.0031015424 0.0031540098 0.0030538447 0.0031397005 0.0030419203 0.0033126047 0.0033448006 0.0029989923 0.003140893 0.0032195942 0.0031206214 0.0032553675 0.0035832892 0.028154755 0.033047736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011277683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1398027e-05 0.0 1.195303e-06 4.3628555e-05 0.001112827 7.769469e-06 6.574166e-06 4.781212e-06 2.9882574e-06 2.390606e-06 5.378863e-06 3.5859089e-06 5.378863e-06 4.18356e-06 5.976515e-06 2.9882574e-06 4.18356e-06 5.378863e-06 1.613659e-05 3.346848e-05 0.0010602337 7.769469e-06 1.195303e-06 5.976515e-06 5.976515e-07 1.195303e-06 1.7929544e-06 6.574166e-06 4.781212e-06 2.390606e-06 2.9882574e-06 1.7929544e-06 3.5859089e-06 3.5859089e-06 7.1718177e-06 0.00011235847 0.0014983122 5.976515e-07 1.673424e-05 1.195303e-06 0.0 0.0 1.195303e-06 3.287083e-05 7.1718176e-05 0.0025346398 3.4663786e-05 1.195303e-06 6.3948704e-05 2.032015e-05 3.346848e-05 0.007929042 0.002138397 5.976515e-06 4.6019162e-05 0.00029225156 0.0007632009 0.00011713969 2.032015e-05 1.43436355e-05 9.3233626e-05 0.00047692587 0.00011773734 5.7972193e-05 3.8249695e-05 2.3308407e-05 4.840977e-05 0.0018664656 0.0009658048 4.18356e-06 6.574166e-06 4.18356e-06 8.964772e-06 2.390606e-06 5.976515e-06 6.574166e-06 3.5859088e-05 9.681954e-05 0.00016495181 1.5538939e-05 0.0001021984 1.9722498e-05 2.5101363e-05 0.0009831367 0.00426245 5.3788634e-05 6.2155756e-05 0.00050800375 0.00050680846 0.0007584197 0.0008289426 0.0026195063 0.0028197197 0.00017451422 4.840977e-05 0.00034962612 0.0005851008 0.0026691114 0.0028239032 0.010305304 0.0048003364 0.00025400188 0.00013686219 0.00059287023 0.0001231162 0.00013566688 0.00027671264 0.0011098388 0.001154065 0.00086061814 0.00096042594 0.00040461004 0.00074108783 0.0010680031 0.00037592277 0.0029177344 0.007898562 0.00039684057 0.00018646725 0.00021276392 0.00017212362 0.00017272128 0.00026774785 0.0003866805 0.00053967925 0.0005050155 0.0002438418 0.00042074663 0.00048529299 0.0004494339 0.00053728867 0.0042606574 0.0038614261 0.00043269966 0.00014702226 0.00027013847 9.024537e-05 0.00017810013 0.00017092832 0.0004924648 0.00026954082 0.00015120582 0.0001207256 0.0004422621 0.00016495181 0.00022292399 0.00033408718 0.001219209 0.00215035 0.000114749084 0.00010638196 0.00035261436 0.0003974382 0.000109370216 0.00022710756 0.00015001051 0.0002217287 9.921014e-05 7.769469e-05 7.231583e-05 0.00011833499 0.00014104575 0.00017630718 0.00038130162 0.0067361295 0.019777482 0.0050919903 0.014843272 0.009934163 0.00023786529 0.00022471695 0.00039325465 0.010234184 0.004957519 5.1995677e-05 0.00033707544 0.009941932 0.0049623 0.009907866 0.00028747035 0.001256861 0.00013387392 0.00015957294 0.000114749084 0.0001858696 0.00021993574 0.00018885787 0.00018945552 0.00036994627 6.813227e-05 5.7374542e-05 0.000103991355 0.00016495181 9.562424e-05 0.00011953029 0.00024324415 0.0014905428 0.0007231583 0.00036098147 0.0005809172 0.00051158963 0.0002474277 0.00031735294 0.00025519717 0.0005653783 0.00031615762 0.00024085354 0.00021515453 0.00046377754 0.00031496232 0.000471547 0.00026894317 0.04734535 0.052123576 0.04731009 0.050235596 0.04910902 0.04518006 0.046176344 0.04542689 0.0484271 0.047041148 0.04497447 0.04573229 0.048207164 0.046608448 0.048606396 0.045145996 3097.0 7.2906036 22579.0 0.008060588 0.0071305195 0.0077062757 0.0079720095 0.0077062757 0.0066433414 0.0077505647 0.0079720095 0.009344966 0.007484831 0.0077948538 0.0077062757 0.0079720095 0.007484831 0.008503477 0.009167811 0.008990655 0.008680632 0.008636343 0.014482483 0.03467824 0.01129368 0.008237743 0.005934718 0.008060588 0.007440542 0.0080162985 0.0070419414 0.011382258 0.00792772 0.008636343 0.013198105 0.007573409 0.006731919 0.026307631 0.010585057 0.00876921 0.015412551 0.011027946 0.009034944 0.010496479 0.011515125 0.0077505647 0.0147039285 0.011736569 0.008459188 0.0121351695 0.01089508 0.0080162985 0.008104877 0.012400904 0.011515125 0.009344966 0.00792772 0.010939368 0.010939368 0.0073962533 0.007440542 0.011470836 0.014305328 0.00792772 0.007263386 0.010629346 0.010850791 0.0073962533 0.01293237 0.011647992 0.009477833 0.011160813 0.01337526 0.011426547 0.00837061 0.0077062757 0.010717924 0.010407901 0.00837061 0.016076885 0.0138624385 0.009034944 0.010319323 0.012843793 0.008636343 0.011205102 0.013153816 0.011647992 0.0088134995 0.008902078 0.013508127 0.009522122 0.0096549895 0.013109527 0.031179415 0.008680632 0.011913725 0.0092121 0.0070862304 6.491227 0.0 0.0 0.0 10.0 838615.0 991232.0 0.0 0.0 12.0 1.0 1.0 0.0 0.0 0.0 2694881500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 414208.0 4096.0 4096.0 8.0 1.0 0.0 3.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 84480.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -389120.0 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 7.986858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1029534 0.0 -7.8744206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.610789 0.0 6.3301935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28673.0 0.0 86016.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -610304.0 -4096.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 712.0 679852.0 89808.0 585728.0 0.0 0.0 0.0 0.0 8.0 679764.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.26231238 0.011183213 0.0058156913 0.004813091 0.007768813 0.0030183117 0.00279014 0.0025157267 0.008965021 0.002354115 0.0025664056 0.0016548868 0.006920584 0.0029090135 0.0014573092 0.007065848 0.006105285 0.0017686223 0.0010598188 0.0015841231 0.002936338 0.003149096 0.001172153 0.0011200729 0.002476725 0.0021317818 0.0007907771 0.0009505206 0.002771223 0.00090638094 0.0007221154 0.0007786329 0.006933896 0.0013881804 0.0010145115 0.0008825596 0.0047806283 0.0015467562 0.00063944113 0.0010472075 0.0021521002 0.0007529431 0.0006121166 0.0016457785 0.0022585958 0.0011242767 0.0018141632 0.0009231961 0.005176951 0.0030699247 0.0028169975 0.0072893486 0.0037689193 0.0029811782 0.0026523496 0.002424645 0.0036348656 0.0037873692 0.0025428177 0.0036687292 0.0032172904 0.0031743185 0.0022389782 0.00327988 0.0050541074 0.0031563356 0.0025339432 0.0030463368 0.0040204455 0.012264752 0.0030332585 0.0021161344 0.0028875275 0.0033936156 0.0014218107 0.00086854695 0.0026187194 0.0058187274 0.0014872028 0.0017497053 0.013160624 0.002449167 0.0025157267 0.0044487636 0.003218458 0.0042360057 0.0047640465 0.0046052374 0.0024192734 0.0024991452 0.00083328196 0.0015836561 0.0014629143 0.004260761 0.002938907 0.0031974392 0.0016994935 0.0026995253 0.0010941497 0.0026764045 0.007766244 0.005351174 0.0033270556 0.0019393424 0.007052069 0.0032406447 0.0073007923 0.0018505959 0.0033817047 0.0020206154 0.0026911178 0.00540956 0.0031145315 0.00066793343 0.004261929 0.002664961 0.010316769 0.010206303 0.001494209 0.0011254444 0.0021943713 0.0012041485 0.00059343316 0.00071674393 0.0015037843 0.0026584216 0.0012833196 0.0012237661 0.0037798958 0.0014070974 0.00057498325 0.00966495 0.0029265292 0.0087760845 0.0012368445 0.0011628113 0.0026201205 0.008903366 0.0011055933 0.028913343 0.0014152714 0.011931953 0.0010490759 0.0007298223 0.0024248785 0.0006146856 0.0008239402 0.0008825596 0.0014657167 0.0009313701 0.00059787044 0.0009465504 0.0019640978 0.00080992765 0.0006856827 0.00072024704 0.0012931284 0.00065322017 0.00065088476 0.00065181893 0.0017662868 0.0018898312 0.0005530302 0.00092156127 0.0013246568 0.0022480863 0.0005591023 0.0005352809 0.0016308319 0.0005315442 0.00056867755 0.00050095003 0.0012672051 0.0005364486 0.0004659186 0.0005264063 0.0018167321 0.0004925425 0.0005534973 0.0008045561 0.0014731901 0.00097060535 0.0014101336 0.0009537902 0.002904109 0.00085383374 0.0005411195 0.000914555 0.0013998576 0.00085523503 0.00095449085 0.00097621034 0.00787344 0.0025715437 0.0035598981 0.002246685 0.0044230735 0.0010210506 0.0027952779 0.0041675777 0.0033237862 0.0027224126 0.00080992765 0.0014334879 0.011505503 0.0008645767 0.0020185134 0.0015908959 0.0020869416 0.00073893054 0.0010371652 0.0007050668 0.0016817442 0.00047759575 0.001163512 0.0009988641 0.0026089104 0.00096803636 0.0004946444 0.001318351 0.0023032026 0.0010369315 0.0006525196 0.0007625184 0.0027632825 0.0006698017 0.0005373828 0.0004855362 0.0021656456 0.0012910265 0.00061842223 0.0005359815 0.015504929 0.002928164 0.0009189923 0.0039053084 0.006420335 0.000543922 0.0008204371 0.0007863398 0.0054695806 0.0016268615 0.0013417054 0.0013092429 0.002906211 0.0009888217 0.002422543 0.0015743143 0.0033023 0.0013477776 0.0010299253 0.0012835532 0.0065371064 0.0019113171 0.0033354633 0.046170313 0.09976076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013664867 2.4530875e-06 2.2194602e-06 1.518578e-05 7.8265175e-06 1.4601712e-05 1.740524e-05 6.4247533e-06 2.8035288e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010948947 1.2148625e-05 5.0229887e-06 1.2382252e-05 1.9507886e-05 1.6353917e-05 1.740524e-05 9.929164e-06 2.8035288e-06 9.3450956e-07 7.008822e-07 9.3450956e-07 8.176959e-07 8.176959e-07 7.008822e-07 8.176959e-07 0.00042613636 1.2031811e-05 3.3875972e-06 4.205293e-06 1.10973015e-05 6.6583807e-06 2.8035288e-06 3.5044109e-06 3.5044109e-06 7.008822e-07 8.176959e-07 7.008822e-07 7.008822e-07 8.176959e-07 7.008822e-07 7.008822e-07 0.003780792 4.1936117e-05 8.9012035e-05 3.9366216e-05 4.5674155e-05 3.726357e-05 4.392195e-05 2.4180436e-05 2.1610535e-05 1.4718526e-05 1.168137e-05 1.9507886e-05 1.6937985e-05 2.1610535e-05 3.738038e-05 0.0005390952 0.0032188015 5.431837e-05 7.242449e-05 4.170249e-05 4.3454696e-05 2.6166268e-05 4.5674155e-05 2.8736169e-05 3.7029942e-05 2.1376907e-05 2.3012299e-05 1.8807004e-05 4.3454696e-05 3.1189258e-05 1.8106122e-05 0.0003427314 0.004412287 0.0003137616 0.00012136943 0.00019566294 0.00038595244 0.0002020877 0.00028385728 6.962096e-05 0.00022416549 6.261214e-05 2.6283082e-05 2.2194603e-05 2.464769e-05 2.6049454e-05 2.6283082e-05 0.00030172977 0.03654493 0.002960176 0.0015870308 0.00062904175 0.0012785259 0.00057776057 0.0026920885 0.00073475816 0.0012780586 0.0007342909 0.00036994898 0.0004417894 0.0004256691 0.0003137616 0.00043992038 0.0032984684 0.015840404 0.0008245879 0.000753682 0.0006867477 0.0013585433 0.00073475816 0.0022963237 0.00050615374 0.00045849377 0.00025477068 0.00024694417 0.00055883673 0.0003785932 0.00027240955 0.0002661016 0.0015961423 0.009871341 0.00045732563 0.0015639018 0.00082400383 0.0027631111 0.0021463349 0.00675592 0.002844063 0.00022743626 0.00016073564 0.00020080274 0.00040522672 0.00024636008 0.00040370814 0.00029553866 0.0007384962 0.009417053 0.00028198826 0.0052283476 0.00446497 0.00785794 0.0040835734 0.009431538 0.0047491775 0.00016412324 0.00017416922 0.000243907 9.2166e-05 0.00014858702 0.00034331545 0.00019005589 0.00025827507 0.015858743 0.0026041276 0.0032100403 0.02874201 0.005292478 0.007261373 0.0048742853 0.003381406 0.0026432604 0.0021818462 0.0022142036 0.0019811604 0.0027486263 0.0023460863 0.0028350684 0.0029736094 0.01568516 0.0015044436 0.0016364431 0.0020983245 0.004933977 0.005845474 0.0046593477 0.0028828452 0.0049164547 0.00094093435 0.0009878934 0.000986959 0.004540315 0.0010273765 0.0025793633 0.00554024 0.06229324 0.008843147 0.005482534 0.007643821 0.013750491 0.017366342 0.013302743 0.011814888 0.036637913 0.0038800838 0.003972133 0.0053441096 0.023136705 0.0049782493 0.015472208 0.032349333 0.052037466 0.010263135 0.0074522467 0.007842871 0.015608763 0.018177262 0.012840278 0.015873697 0.037211236 0.0053271716 0.0052348888 0.00563591 0.019130228 0.007117108 0.01653124 0.032376785 0.002501098 0.0022387344 0.0022959732 0.0024794876 0.0021157297 0.0021050996 0.0022279876 0.0022960901 0.002386387 0.0023542633 0.002287212 0.0023633747 0.0020936518 0.0021494888 0.002208947 0.0022601115 21177.0 17.73542 375583.0 0.04215313 0.005487469 0.0008360336 0.00062036887 0.0068134074 0.0077479547 0.00095052226 0.0057803467 0.005093415 0.0022897734 0.00080408325 0.0008333711 0.0048005367 0.0051333527 0.00999779 0.0046833856 0.023315752 0.01750878 0.014579999 0.014803652 0.017849583 0.011842921 0.012426015 0.011515431 0.014292447 0.012977158 0.010072341 0.009638349 0.01140893 0.011728433 0.008333711 0.013682728 0.020506786 0.02249037 0.0103678815 0.023896182 0.016049715 0.015179068 0.009084543 0.0045928597 0.005751059 0.014920803 0.0011981373 0.0018504565 0.015298882 0.006650993 0.006235639 0.010264043 0.017620606 0.0020927466 0.013381862 0.013714679 0.016691383 0.007439101 0.008735752 0.016068352 0.0071515483 0.0017040175 0.0009345471 0.0011715121 0.0038233893 0.0010463733 0.0010224105 0.01483294 0.0036130496 0.023353027 0.005775022 0.012537841 0.01672866 0.040079024 0.0061557633 0.008232535 0.009758162 0.022567581 0.0033760846 0.0023137364 0.017684506 0.011858896 0.019297998 0.0314551 0.013826504 0.001115599 0.025988929 0.019271372 0.031934354 0.01071401 0.0045156465 0.0026838277 0.0074417638 0.005929448 0.0015336158 0.0018238312 0.00341336 0.0016001789 0.0008360336 0.0008147334 6.1150804 2.0 20.0 7.0 5.0 4281864.0 4599808.0 0.0 0.0 14.0 1.0 1.0 1.0 0.0 0.0 1542759400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2390528.0 1024.0 4096.0 6.0 0.0 0.0 2.0 6.0 0.0 0.0 0.0 0.0 0.0 -794624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640512.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2390528.0 0.0 346624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.308654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.52891 0.0 -4.6761646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.156841 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.590262 0.0 5.022745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -794624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640386.0 0.0 -3040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2390492.0 0.0 346584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3264.0 4585552.0 346584.0 3457024.0 0.0 0.0 7176.0 4274688.0 10.0 4585424.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056552052 0.008288612 0.006166347 0.0056600617 0.005749953 0.004947129 0.0042052665 0.005424484 0.0050442535 0.005622865 0.0037475436 0.0044646086 0.004953329 0.0031668653 0.004324089 0.0046392255 0.005028755 0.0037682082 0.004922332 0.004158771 0.004348886 0.0031906299 0.0041050427 0.003846734 0.005059752 0.003349748 0.0031616993 0.0029333543 0.0041515385 0.0034313735 0.0037857732 0.0037899062 0.0061570476 0.0038209031 0.0034882014 0.0030263455 0.004897534 0.004157738 0.003838468 0.0037217126 0.0047198175 0.0038973626 0.003336316 0.003099705 0.004370584 0.003723779 0.0037258456 0.0035863589 0.0055205747 0.003945925 0.0031059044 0.0029044237 0.003675217 0.0030697412 0.0026874444 0.0028692938 0.004166004 0.0033208174 0.0035222983 0.003359047 0.004004819 0.0032174939 0.0035088663 0.0034561711 0.00658584 0.003943858 0.0036194224 0.0032216269 0.004166004 0.0032247265 0.0035450293 0.0030656084 0.0049956916 0.0037744076 0.003701048 0.0035853256 0.004123641 0.0031183034 0.0035625943 0.0034675368 0.0051641087 0.0036452531 0.003662818 0.003344582 0.003930426 0.003375579 0.0033569806 0.0035357303 0.004647491 0.0036452531 0.0038105708 0.003507833 0.0041122753 0.0033900442 0.003692782 0.0037961055 0.0059101046 0.0036256218 0.0033342494 0.0029571187 0.0039903536 0.003055276 0.0032732885 0.0030397775 0.004977093 0.0031761646 0.0032081949 0.003055276 0.0035760265 0.00283933 0.003086273 0.0031978625 0.0045049046 0.0032856874 0.0032267931 0.0031524 0.003895296 0.0033425153 0.0032867207 0.0036307878 0.0046226936 0.003297053 0.0034789024 0.003173065 0.0040337495 0.0032019953 0.003473736 0.0033466483 0.008640945 0.0045958296 0.0040099854 0.0035233314 0.004357152 0.0034293071 0.003028412 0.003384878 0.004544168 0.003833302 0.002962285 0.003191663 0.0037392776 0.0028114326 0.0028506955 0.0029922486 0.0052281693 0.0032019953 0.0034933677 0.0030263455 0.0036648847 0.0031906299 0.0033166844 0.003261923 0.004549334 0.0028413963 0.0030449436 0.0027112088 0.003517132 0.0032381585 0.0029994813 0.0031441343 0.0050163562 0.0034138085 0.0032722554 0.0027969673 0.0037744076 0.0030046476 0.003055276 0.003186497 0.004130874 0.0030005146 0.0031224363 0.0030129133 0.00364422 0.0028424296 0.002928188 0.0030366778 0.0046629896 0.0031203697 0.0038395014 0.0028599945 0.0035594946 0.003147234 0.0029912153 0.0031317354 0.0042651943 0.0031524 0.0033352827 0.0031844303 0.0036524858 0.0032030286 0.0033352827 0.0033425153 0.0067108613 0.0040595806 0.003723779 0.003341482 0.0041205413 0.0032650228 0.0033073854 0.0032154275 0.004324089 0.0033332163 0.003109004 0.0030769738 0.0036473197 0.0029829496 0.0030738742 0.002800067 0.0042517623 0.0032774215 0.0030976387 0.0030036143 0.0037155133 0.0030222125 0.0029333543 0.0029488527 0.0039769216 0.0031141704 0.0027287737 0.0026409489 0.0035315973 0.0029519524 0.0035801595 0.0028899584 0.004954362 0.0032391918 0.0033952103 0.0029746837 0.0038054048 0.0030738742 0.0032030286 0.002923022 0.004440844 0.005447215 0.0034716697 0.003138968 0.0037868065 0.0030831734 0.0032422915 0.0031875302 0.004612361 0.003314618 0.0034324068 0.0030501098 0.0037351446 0.0030924724 0.0033156513 0.0032433248 0.004350953 0.0030366778 0.0031906299 0.002866194 0.004008952 0.0030935057 0.0042176656 0.0045049046 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909523 0.06198896 0.06245086 0.055341817 0.060576875 0.059607554 0.054971468 0.054512154 0.06049929 0.053196277 0.05214161 0.053003863 0.05641562 0.050592456 0.0566758 0.05384542 4037.0 5.7020063 23019.0 0.017290065 0.010426169 0.00934011 0.008688475 0.013423693 0.012511403 0.011816326 0.011381902 0.012554846 0.0098179765 0.008514705 0.00860159 0.013988445 0.010599939 0.011685998 0.009991746 0.016681872 0.011903211 0.0087319175 0.0075155306 0.009774534 0.008471263 0.007776185 0.008297494 0.010208958 0.00842782 0.009600764 0.008862244 0.011468787 0.008949129 0.009600764 0.009209783 0.017985143 0.0109909205 0.010426169 0.008992571 0.010860593 0.0088188015 0.010643382 0.008254051 0.014205656 0.011599114 0.009731092 0.008905686 0.011425344 0.009296668 0.011642556 0.009600764 0.01481385 0.009731092 0.010122073 0.008949129 0.012120422 0.009383553 0.009557323 0.009774534 0.013684347 0.009166341 0.010513054 0.00951388 0.01116469 0.009774534 0.010426169 0.010643382 0.017898258 0.010947478 0.009687649 0.008210609 0.013032712 0.008210609 0.009426995 0.00842782 0.015422042 0.009383553 0.008862244 0.0086450325 0.011295017 0.008036839 0.009861419 0.007949955 0.013119597 0.007993396 0.008688475 0.008905686 0.011599114 0.00951388 0.008340936 0.008036839 0.0109040355 0.009036014 0.012033538 0.008514705 0.011338459 0.009036014 0.009991746 0.0088188015 6.5547514 0.0 0.0 0.0 14.0 967834.0 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