Input: 0.16323169 0.00929576 0.004199324 0.0077314707 0.008131882 0.0033274684 0.0035042597 0.0031180547 0.0069195977 0.0025450608 0.0038667875 0.004456619 0.0064439443 0.0034190211 0.0022809259 0.009648817 0.020839823 0.0023472228 0.002140966 0.003647903 0.005903573 0.0021262334 0.0020794047 0.002234097 0.0050932784 0.0028018295 0.0051211654 0.0023730048 0.004100405 0.0019652268 0.0024329876 0.002364586 0.0064786715 0.0023361733 0.0021167623 0.002810248 0.018582048 0.0021009773 0.0019326046 0.0027044888 0.0032317063 0.001879988 0.0018852497 0.0028155097 0.0030438653 0.0020215265 0.0019957444 0.0018978777 0.0039746515 0.0029675714 0.00297599 0.009745104 0.0042287894 0.0028023554 0.0028333992 0.0025750522 0.0034821609 0.0031306825 0.0026887038 0.0039388724 0.003992015 0.002769207 0.0026224072 0.0027602622 0.0034742684 0.0024871826 0.0021357043 0.0024887612 0.006212432 0.0034011314 0.0039683376 0.0028481318 0.003357986 0.002351432 0.0019262906 0.0019257644 0.004960159 0.0025692643 0.002584523 0.002277769 0.005617339 0.003969916 0.0037505052 0.0038757324 0.004868606 0.003074383 0.004919644 0.0042845625 0.0026108315 0.0025850493 0.0018626245 0.0030217664 0.0035574024 0.0027186952 0.0034616406 0.004074623 0.0024035224 0.0022867138 0.002004163 0.0026134623 0.0024940227 0.002602939 0.002495075 0.001892616 0.0030112432 0.0024798163 0.0033516719 0.0019889043 0.0034021838 0.0021372829 0.0030496533 0.0024571912 0.00289917 0.0021088698 0.0027129075 0.002444037 0.00636502 0.004728646 0.0026808113 0.0020846664 0.0023435396 0.002214103 0.0018368425 0.0019110318 0.0037925984 0.0023324902 0.0024403539 0.0022262046 0.002972833 0.002857603 0.00193734 0.011545115 0.0031091098 0.005063813 0.0020210003 0.0019994276 0.0026302994 0.008670676 0.0024713976 0.024800794 0.0025255927 0.0052169273 0.0019441802 0.001959439 0.0023682693 0.00182895 0.0018342116 0.0018089558 0.002351432 0.0019899565 0.0017921184 0.0017868568 0.0022356757 0.0019552296 0.0017610748 0.0018999823 0.0022393588 0.0018689386 0.0018094819 0.0017758074 0.0021898993 0.0019768025 0.0017784382 0.0018847235 0.0021725358 0.0018363163 0.0018110604 0.0017863306 0.002485604 0.0017573916 0.0019668052 0.0018147436 0.0021530678 0.0018010633 0.0018442088 0.0018252669 0.002449825 0.0019399709 0.0017705457 0.0018568367 0.002176745 0.0019441802 0.0053295265 0.0019147149 0.0033921867 0.0020062677 0.0018626245 0.0021209717 0.0022235739 0.0020341545 0.0021435968 0.0019746977 0.005151157 0.0063008275 0.0025603196 0.004852295 0.005162732 0.002261984 0.002979147 0.0035089953 0.0035947603 0.0026850207 0.0032359157 0.0022088413 0.010962125 0.0022062105 0.0022098937 0.00229408 0.0027460558 0.0033863988 0.0023819497 0.0027770996 0.002166748 0.0026713405 0.0022125244 0.0021036083 0.0029549433 0.002236202 0.0034400676 0.0022451465 0.0021604341 0.0035232017 0.0027576315 0.0020962418 0.0024661361 0.0021993702 0.0035637165 0.0020383638 0.0021851638 0.0019683838 0.002023105 0.0020141602 0.0072410847 0.0028065648 0.0033721924 0.003380611 0.0025766308 0.0023687955 0.0022535652 0.0029139025 0.0028812804 0.0020872972 0.0021236024 0.0021672742 0.0024035224 0.0022609315 0.002653977 0.0044981856 0.003135418 0.0022098937 0.0022830307 0.002376688 0.002870757 0.0027665764 0.0028602337 0.011731904 0.042542852 1.0002527e-05 6.3173857e-06 5.2644878e-06 1.5793464e-06 2.6322439e-06 7.896731e-06 3.6851416e-06 0.0 2.6322439e-06 0.0 0.0 0.0 1.0528976e-06 0.0 3.6851416e-06 0.00052302686 1.0528976e-06 1.3161219e-06 1.0528976e-06 1.3161219e-06 1.3161219e-06 7.896732e-07 5.264488e-07 1.8425708e-06 1.0528976e-06 1.0528976e-06 2.632244e-07 1.5793464e-06 1.3161219e-06 1.0528976e-06 5.264488e-07 0.0074460916 0.00025980247 6.317385e-05 5.211843e-05 4.079978e-05 2.7638562e-05 3.9483657e-06 2.0531503e-05 4.2115902e-05 3.0270805e-05 1.28979955e-05 9.212854e-06 2.1057951e-05 8.686405e-06 2.632244e-05 2.1584401e-05 0.0031560606 0.00040615525 2.211085e-05 1.316122e-05 2.4479868e-05 7.633507e-06 8.94963e-06 6.896479e-05 8.94963e-06 6.8438344e-06 8.686405e-06 8.159956e-06 7.1070585e-06 8.159956e-06 8.686405e-06 9.476078e-06 0.031701166 0.004138414 0.00040878748 0.00036430257 0.00037377863 0.00025638056 0.0002837559 0.00081073114 0.00019294348 0.00015688174 0.00015556562 9.370789e-05 8.502148e-05 8.238923e-05 8.054666e-05 0.00016872684 0.0033658503 0.00027691206 0.00012266256 5.1328756e-05 6.685899e-05 4.2379128e-05 8.238923e-05 8.554793e-05 4.790684e-05 1.6319913e-05 1.737281e-05 1.8425708e-05 3.000758e-05 2.1321175e-05 2.7112112e-05 4.027333e-05 0.006216044 0.00017583389 0.00013371799 0.00012108322 0.00012897995 0.00012345224 0.000121872894 0.00013871926 0.00011555551 0.00011450261 0.00011581873 0.00011055425 0.00011160714 0.00011555551 0.00011423939 0.00012871673 0.009152839 0.0006785925 0.00033166274 0.00030797254 0.00024111355 0.00019662862 0.00024137677 0.00021163242 0.0002621715 0.00017346487 0.0001887319 0.00018741578 0.00017951903 0.00021242209 0.00017241198 0.00020005053 0.0075950767 0.00082073367 0.00031981763 0.0005119714 0.0008136266 0.0008794327 0.0006291063 0.0004282661 0.0002479574 0.0001563553 0.0001705694 0.00016951651 0.00021637045 0.00016477847 0.00015793464 0.00019557572 0.0061036474 0.0010994883 0.0004185268 0.00032508213 0.00057382917 0.0005417158 0.00082994654 0.00047827873 0.0003063932 0.00017004296 0.00012845351 0.0001445102 0.00016846361 0.00018162483 0.00017820291 0.00021163242 0.008391067 0.001990503 0.0011926697 0.0009539252 0.0017580757 0.0013390225 0.001929698 0.00097156124 0.00033903302 0.00026085536 0.00031639572 0.00028428235 0.00023927097 0.00028428235 0.00026585665 0.00050775986 0.006902007 0.0018499411 0.0011781924 0.012039357 0.0014951145 0.0012732164 0.0017151701 0.0013811383 0.0010160462 0.0009505033 0.0010349983 0.00091470475 0.0009473446 0.00095234584 0.0009813005 0.0014872178 0.0122049255 0.0044745514 0.0030399784 0.0018617861 0.0018946892 0.0023453294 0.00083152583 0.0011005412 0.005803045 0.00060515286 0.0004414273 0.0015780303 0.003174486 0.0031497432 0.0022800497 0.002115008 0.049594633 0.018846076 0.01825698 0.010142036 0.011617935 0.01883081 0.005616682 0.008940154 0.035634004 0.0021044791 0.0018570481 0.0064374157 0.023921307 0.008527418 0.010605311 0.013272564 0.017777123 0.0073497514 0.0071196933 0.0053731995 0.004907819 0.0070307236 0.0031831726 0.0051423516 0.012535798 0.001428782 0.00137719 0.0020918443 0.007862776 0.0031023626 0.00515525 0.007753538 0.029113933 0.025220845 0.025242694 0.025393784 0.025043959 0.02538194 0.02519268 0.025356406 0.025210842 0.025144773 0.02527428 0.025107132 0.025237165 0.025066596 0.025340348 0.025219793 8812.0 9.1181345 80349.0 0.03341672 0.00414442 0.003547026 0.007890577 0.031089373 0.0037710487 0.0031363177 0.0035843633 0.0078034573 0.0035719175 0.003298112 0.0035345803 0.0072807376 0.007703892 0.005152522 0.0038706143 0.016353657 0.015768709 0.01738665 0.026384896 0.016714582 0.013018208 0.0151713155 0.010740644 0.016689692 0.012682174 0.011873203 0.009732542 0.014138321 0.0111264605 0.010504176 0.010441947 0.008313731 0.013067991 0.0067704637 0.015046858 0.017623119 0.013814733 0.0062726354 0.005575676 0.012010106 0.008848896 0.003634146 0.005239642 0.0132795675 0.007915469 0.01023037 0.006882475 0.019054376 0.009408954 0.020535415 0.02046074 0.017486217 0.009072919 0.0121719 0.010217925 0.008052371 0.0058868187 0.0035345803 0.0044929 0.010205478 0.005451219 0.005413882 0.028089957 0.006583778 0.013416471 0.007318075 0.011586952 0.013578265 0.020473186 0.007094052 0.006546441 0.01049173 0.01527088 0.0062104072 0.004704477 0.013080437 0.009632976 0.013005762 0.012122117 0.010641078 0.0038706143 0.015694035 0.011798529 0.022452053 0.007566989 0.0045426823 0.0054263277 0.007355412 0.0066957898 0.0032856662 0.0036465917 0.009570748 0.0031363177 0.0036092547 0.0040075174 6.345927 0.0 0.0 0.0 21.0 1900544.0 2113536.0 0.0 3.0 110.0 1.0 1.0 0.0 0.0 0.0 1220400100.0 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 679936.0 4096.0 4096.0 8.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 974848.0 0.0 -4096.0 -61440.0 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 -114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -679936.0 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 -6.106989 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5360513 0.0 -3.530255 -0.5584315 3.761313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1185207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.713794 0.0 3.2804606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 971275.0 0.0 -96.0 -61440.0 45.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -325284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -678398.0 0.0 968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 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 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 203.0 1655104.0 100.0 1652516.0 968.0 1994752.0 0.0 0.0 0.0 0.0 43716.0 1998848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 456.0 684032.0 0.0 0.0 0.0 0.0


Input: 0.34293896 0.011569783 0.004816605 0.0024000264 0.0030455508 0.005859375 0.0029296875 0.0016551907 0.0053793695 0.0009765625 0.0019200211 0.0013572563 0.0018869174 0.0024496822 0.00082759536 0.0032938295 0.0043862555 0.0009765625 0.00057931675 0.0006289725 0.0011089777 0.0063393805 0.00082759536 0.0006951801 0.0025655455 0.0027476165 0.0007282839 0.00041379768 0.00046345338 0.0007613877 0.0006951801 0.0005627648 0.010195974 0.00084414723 0.0011917372 0.0005131091 0.013986361 0.0014069121 0.00046345338 0.00044690148 0.00425384 0.0004965572 0.00039724575 0.0007944915 0.0005627648 0.0033931409 0.0025655455 0.00054621295 0.006753178 0.0013241526 0.0013738082 0.005875927 0.0014400159 0.00064552436 0.0006951801 0.0008110434 0.0039890097 0.0020358844 0.0007779396 0.0011089777 0.0012248411 0.0005627648 0.00046345338 0.0019365731 0.012231859 0.0060911016 0.0027972723 0.0024165784 0.0063393805 0.004402807 0.0015227754 0.0010924259 0.047206037 0.0048331567 0.0012910487 0.0009103549 0.008044227 0.0027641684 0.0013076006 0.0009765625 0.0049159164 0.00061242055 0.0017048464 0.0025820974 0.0036910751 0.0026317532 0.0019862289 0.0021848518 0.0025986494 0.0007944915 0.0010427701 0.0016551907 0.0027641684 0.0014896716 0.0014565678 0.0056442004 0.0028634798 0.008275953 0.0020855402 0.0043862555 0.0043531517 0.010477357 0.0025820974 0.0017545021 0.0026483051 0.008044227 0.0005627648 0.0014400159 0.006372484 0.0028303762 0.0057766153 0.0059421347 0.0048662606 0.00039724575 0.007646981 0.005180747 0.013092558 0.007067664 0.0016055349 0.001588983 0.0030786546 0.0013738082 0.00087725103 0.00031448624 0.0009103549 0.0002648305 0.000115863346 0.00033103814 0.006206965 0.0013903602 0.00036414195 0.008391817 0.0013407045 0.0060579977 0.00039724575 0.0008110434 0.00086069916 0.008590439 0.0007944915 0.028899629 0.0002482786 0.0076138773 0.00019862287 0.0002482786 0.0022676112 8.2759536e-05 0.00039724575 0.00092690677 0.0005958686 0.00036414195 0.00039724575 0.00041379768 0.001423464 0.00048000528 0.0005958686 0.0005131091 0.00061242055 0.00019862287 0.00046345338 0.00036414195 0.002300715 0.00082759536 0.0010096664 0.0007448358 0.0014565678 0.00044690148 0.0009103549 0.00082759536 0.00096001057 0.00036414195 0.00038069385 0.00036414195 0.00044690148 0.00061242055 0.00034759004 0.00033103814 0.0016386388 0.00036414195 0.0010262182 0.0004965572 0.0008110434 0.0006620763 0.0007448358 0.0008110434 0.002499338 0.001075874 0.0013903602 0.0006289725 0.0005131091 0.00034759004 0.00036414195 0.00054621295 0.0075476696 0.0013241526 0.0008110434 0.0052966103 0.0049159164 0.0002482786 0.00086069916 0.0029793433 0.0022345074 0.0024000264 0.0008110434 0.0015724312 0.028932733 0.0005131091 0.001257945 0.0019365731 0.001969677 0.00067862816 0.0016717425 0.0006620763 0.00044690148 0.00041379768 0.00057931675 0.00087725103 0.0023834745 0.0012248411 0.0011917372 0.0010924259 0.00064552436 0.00061242055 0.00044690148 0.0005131091 0.0021848518 0.0002648305 0.0002979343 0.0002813824 0.0002648305 0.00018207097 0.0002648305 0.00031448624 0.007878708 0.00251589 0.0009103549 0.0015227754 0.0032441737 0.0002979343 0.00048000528 0.00041379768 0.0023834745 0.00054621295 0.0007282839 0.00014896716 0.00033103814 0.0002813824 0.00082759536 0.000711732 0.0014069121 0.001075874 0.00057931675 0.0006951801 0.00043034958 0.00041379768 0.001075874 0.027277542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04258149 0.00031148977 0.00024414062 0.00026097792 0.00068191 0.00024414062 0.00021046605 0.00028623384 0.00024414062 0.00039567618 0.0022730334 0.00037042025 0.00025255926 0.00022730335 0.00016837285 0.0029717807 0.013899178 0.0003199084 0.00052195584 0.00014311692 0.00011786099 0.00022730335 7.576778e-05 5.0511855e-05 0.00010102371 0.00052195584 0.00010102371 0.0006145609 0.00018521013 9.260506e-05 5.0511855e-05 0.0002188847 0.026190396 0.00052195584 0.0003030711 0.00029465248 0.00054721173 0.0003367457 0.0009849812 0.00064823544 0.00041251347 0.00014311692 0.0009007947 0.00027781518 0.00066507276 0.0006734914 0.00018521013 0.0013974946 0.054653827 0.00044618803 0.0026097791 0.000799771 0.0022982894 0.0015827047 0.0112220505 0.0054047685 0.0020794047 0.0003367457 0.00046302532 0.0003030711 0.0009092134 0.0023403824 0.00038725755 0.00037042025 0.06505085 0.0029381062 0.0028875943 0.002163591 0.0022561962 0.003013874 0.007846175 0.0056068157 0.0009007947 0.0016668912 0.0008334456 0.0014985183 0.001035493 0.00072400324 0.00079135236 0.004234577 0.032226562 0.0016584725 0.004495555 0.0031401536 0.008140827 0.0077619883 0.026543979 0.013958109 0.0009007947 0.00047986262 0.00068191 0.0004966999 0.00036200162 0.00022730335 0.0004209321 0.001953125 0.037799705 0.0013217268 0.0027613146 0.003013874 0.006490773 0.004369275 0.013351967 0.006095097 0.0031485723 0.00086712016 0.00040409484 0.00038725755 0.0020120556 0.0017426589 0.0008166083 0.0016247979 0.033236798 0.00186052 0.0024834995 0.0028034078 0.004301926 0.0021046605 0.004571323 0.0032411772 0.002163591 0.0007829337 0.0024329876 0.0034853178 0.0021972656 0.0012627963 0.00088395743 0.001153354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08356344 0.0152124865 0.026173558 0.018731479 0.08091999 0.018579943 0.0062718885 0.013646619 0.06339238 0.0048407195 0.002517174 0.0061035156 0.056842674 0.008157664 0.017839102 0.02548323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 347.0 19.233429 6674.0 0.0037458795 0.00014983518 0.0 0.0 0.01588253 0.0 0.0 0.0 0.0010488463 0.0 0.0 0.0 0.0 0.023224453 0.015433024 0.00029967036 0.00869044 0.00839077 0.002547198 0.008840276 0.0020976926 0.00044950555 0.0011986814 0.0020976926 0.0026970333 0.0019478573 0.00014983518 0.0014983518 0.0007491759 0.0 0.0005993407 0.010788133 0.047198083 0.03326341 0.0038957146 0.009589451 0.0077914293 0.013335331 0.0044950554 0.0029967036 0.017980222 0.0055439016 0.004944561 0.00044950555 0.011237639 0.0038957146 0.0026970333 0.0020976926 0.014084507 0.0005993407 0.008240935 0.009739287 0.009439616 0.0065927478 0.012286485 0.011387474 0.010937968 0.0047947257 0.005693737 0.0016481869 0.0034462092 0.0016481869 0.004644891 0.032214563 0.0010488463 0.054240335 0.009889122 0.02517231 0.025621817 0.06682649 0.01183698 0.0077914293 0.005993407 0.052142642 0.0007491759 0.0047947257 0.040305663 0.01738088 0.037159126 0.036409948 0.014534012 0.00044950555 0.043152533 0.028768355 0.051393468 0.01243632 0.005693737 0.00869044 0.008540605 0.004944561 0.0020976926 0.0 0.00044950555 0.0 0.0 0.00014983518 5.510566 0.0 0.0 0.0 2.0 60416.0 77824.0 1.0 2.0 122.0 1.0 0.0 0.0 0.0 0.0 1540827400.0 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 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 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 2.0 6.0 2.0 27648.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25088.0 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 0.0 0.0 0.0 0.0 -3584.0 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 -5.0852103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1394787 0.0 0.0 0.0 0.0 4.490031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.399048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.039108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24636.0 0.0 0.0 0.0 0.0 2256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27478.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 51088.0 540.0 51208.0 0.0 0.0 2256.0 69632.0 0.0 0.0 460.0 73728.0 112.0 40192.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 40304.0 0.0 0.0 1184.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.19537848 0.014661355 0.0070119523 0.006055777 0.014023905 0.0033466136 0.003984064 0.0044621513 0.013067729 0.0027091634 0.0022310757 0.0022310757 0.006693227 0.0030278885 0.0033466136 0.0054183267 0.010199203 0.002071713 0.001434263 0.001434263 0.0030278885 0.008605578 0.00079681276 0.0015936255 0.0035059762 0.0009561753 0.0011155378 0.0011155378 0.0030278885 0.0006374502 0.00079681276 0.0017529881 0.0035059762 0.00047808766 0.0003187251 0.0011155378 0.008286852 0.00079681276 0.004143426 0.0012749004 0.0017529881 0.0003187251 0.0003187251 0.002071713 0.0009561753 0.0003187251 0.0012749004 0.0003187251 0.0017529881 0.0 0.00079681276 0.008605578 0.001434263 0.0003187251 0.00047808766 0.0006374502 0.001434263 0.0025498008 0.00015936255 0.004621514 0.0009561753 0.0009561753 0.0003187251 0.00079681276 0.005896414 0.018326694 0.0009561753 0.0006374502 0.0035059762 0.009561753 0.0012749004 0.00079681276 0.0012749004 0.0006374502 0.00047808766 0.0006374502 0.0038247013 0.012111554 0.0017529881 0.0030278885 0.01625498 0.002868526 0.0019123506 0.007808765 0.0009561753 0.006374502 0.008446215 0.0065338644 0.001434263 0.0052589644 0.0006374502 0.0025498008 0.0015936255 0.00812749 0.005577689 0.0036653387 0.0052589644 0.0062151393 0.0003187251 0.0006374502 0.0017529881 0.0012749004 0.0009561753 0.00047808766 0.008286852 0.00079681276 0.0065338644 0.0 0.0015936255 0.0009561753 0.0012749004 0.00079681276 0.0023904382 0.001434263 0.0022310757 0.0017529881 0.012111554 0.011155378 0.00047808766 0.0025498008 0.0030278885 0.0017529881 0.00015936255 0.00079681276 0.0022310757 0.0025498008 0.0019123506 0.002071713 0.0033466136 0.0025498008 0.00047808766 0.016095618 0.002868526 0.014820717 0.00015936255 0.0 0.0006374502 0.015139442 0.001434263 0.0361753 0.001434263 0.027410358 0.00015936255 0.0 0.0009561753 0.0003187251 0.0 0.0003187251 0.001434263 0.0006374502 0.00047808766 0.00015936255 0.00079681276 0.00015936255 0.0 0.0 0.00047808766 0.00047808766 0.0 0.00079681276 0.00047808766 0.0012749004 0.00047808766 0.0006374502 0.0003187251 0.0003187251 0.0 0.0 0.0009561753 0.0 0.0003187251 0.0006374502 0.0 0.0003187251 0.00015936255 0.0003187251 0.00015936255 0.00015936255 0.0 0.0009561753 0.0009561753 0.00079681276 0.00015936255 0.0012749004 0.004143426 0.0011155378 0.0006374502 0.0003187251 0.00079681276 0.0011155378 0.00047808766 0.0006374502 0.011314741 0.0023904382 0.003187251 0.005896414 0.0033466136 0.0006374502 0.002868526 0.003187251 0.0023904382 0.0012749004 0.0003187251 0.0009561753 0.0027091634 0.0009561753 0.002071713 0.0015936255 0.0019123506 0.00015936255 0.001434263 0.0003187251 0.0003187251 0.0 0.0009561753 0.0003187251 0.001434263 0.0009561753 0.0003187251 0.0035059762 0.0011155378 0.0003187251 0.00047808766 0.00015936255 0.0011155378 0.0003187251 0.006055777 0.00015936255 0.002071713 0.0030278885 0.00047808766 0.00079681276 0.030756973 0.0017529881 0.00015936255 0.0052589644 0.0098804785 0.0003187251 0.0009561753 0.00079681276 0.007808765 0.0015936255 0.0006374502 0.00015936255 0.005896414 0.0003187251 0.0035059762 0.001434263 0.008286852 0.003187251 0.00079681276 0.001434263 0.00876494 0.003984064 0.0033466136 0.06326693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09394531 0.0065429686 0.0067382813 0.0029296875 0.011621093 0.011230469 0.009765625 0.009375 0.011621093 0.0013671875 0.0014648438 0.0026367188 0.008300781 0.001953125 0.008691406 0.011816407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12109375 0.027832031 0.013867187 0.019042969 0.041308593 0.05673828 0.01875 0.028320312 0.09033203 0.0038085938 0.0037109375 0.008496094 0.0265625 0.009765625 0.043847658 0.086523436 0.041796874 0.011035156 0.00625 0.006152344 0.016210938 0.01669922 0.0078125 0.012402344 0.02607422 0.0012695312 0.0014648438 0.0030273437 0.012890625 0.0021484375 0.014355469 0.020410156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17.0 7.5882354 129.0 0.054263566 0.007751938 0.0 0.007751938 0.023255814 0.0 0.015503876 0.0 0.0 0.0 0.0 0.0 0.015503876 0.0 0.054263566 0.0 0.0 0.0 0.007751938 0.007751938 0.0 0.0 0.0 0.0 0.0 0.007751938 0.0 0.007751938 0.0 0.0 0.0 0.0 0.03875969 0.0 0.0 0.007751938 0.015503876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007751938 0.0 0.0 0.007751938 0.015503876 0.015503876 0.015503876 0.08527132 0.007751938 0.0 0.023255814 0.007751938 0.0 0.007751938 0.0 0.007751938 0.015503876 0.007751938 0.007751938 0.007751938 0.007751938 0.046511628 0.007751938 0.031007752 0.031007752 0.031007752 0.007751938 0.015503876 0.015503876 0.031007752 0.015503876 0.0 0.007751938 0.015503876 0.031007752 0.031007752 0.007751938 0.0 0.054263566 0.023255814 0.054263566 0.015503876 0.0 0.0 0.007751938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.227942 0.0 0.0 0.0 1.0 6275.0 1130496.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1525819500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.415779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 0.0 0.0 0.0 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 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.17922603 0.01304156 0.0069268974 0.0068688807 0.013359126 0.004010791 0.004790964 0.0028489288 0.01641264 0.0018962324 0.0020046323 0.0034061952 0.009420092 0.002213798 0.001792413 0.013368286 0.0071269027 0.0014855347 0.0010534625 0.0012366733 0.004081022 0.004484086 0.0013359125 0.0009832316 0.0032214576 0.0006839872 0.0007191026 0.0008381897 0.0026473969 0.0023115103 0.0008412432 0.0009404824 0.0055864044 0.0011236933 0.0011908707 0.0012320931 0.010407904 0.0011710228 0.0014824813 0.0008916262 0.0020321137 0.0008275024 0.0006962013 0.0018504297 0.0014733206 0.00067329995 0.0009893386 0.0005862748 0.0026565576 0.0009893386 0.0013038507 0.0067131515 0.0016351569 0.0012000311 0.00094353594 0.0009206346 0.0022153247 0.0024183835 0.0009160543 0.0040886556 0.0016290499 0.001949669 0.0010091865 0.0017908862 0.0033878742 0.0028000728 0.0022931893 0.0032138238 0.0052337237 0.013496533 0.0052047153 0.0034168826 0.010409431 0.007317747 0.0031298522 0.0011969777 0.0038611689 0.0068887286 0.0028519824 0.0019115 0.010804861 0.006160465 0.0057390803 0.0053833458 0.0040642275 0.007946772 0.007516226 0.005482585 0.0013038507 0.0018153143 0.0006565056 0.0035985666 0.0016824864 0.00758951 0.005307008 0.0044993535 0.0011923973 0.0026794588 0.0009130008 0.0015481318 0.0018473762 0.004252019 0.003855062 0.0009389557 0.004018425 0.0021267727 0.008058225 0.0006091761 0.002389375 0.0012061382 0.0025115155 0.0024244904 0.0020168463 0.00052520446 0.0031206917 0.002256547 0.0117545035 0.010804861 0.0014000364 0.0018229481 0.001998525 0.0012626282 0.00070383504 0.0006488718 0.0019069198 0.0038245267 0.0017588242 0.001949669 0.0034840598 0.0018855451 0.000993919 0.016479816 0.0054917457 0.009323906 0.001949669 0.0012565212 0.0024473919 0.015612619 0.0015160699 0.044349242 0.0012015579 0.012091917 0.00089926 0.0008839924 0.0013435463 0.0006274972 0.0004488666 0.0005129904 0.001074837 0.0012656817 0.0007450575 0.00051909743 0.00083513616 0.00070688856 0.0004320723 0.0005557396 0.00087330514 0.00061070285 0.00046260742 0.00067329995 0.00083360943 0.00095575 0.0004244385 0.0012366733 0.0010672032 0.0004992496 0.00034810064 0.0004030639 0.0015878275 0.0005389453 0.0003954301 0.00048092852 0.00091452757 0.0003923766 0.00039848362 0.00046260742 0.001314538 0.00047634824 0.0005114637 0.00050688337 0.0009236881 0.0005816945 0.0033481785 0.001508436 0.0023435722 0.00094658945 0.0009175811 0.0012046114 0.00091147405 0.0006962013 0.00088857266 0.0014427855 0.010039955 0.0045161475 0.0059009166 0.0035802457 0.004659663 0.00050841016 0.002955802 0.0066413935 0.0022733414 0.0017313426 0.0009847584 0.00072978996 0.0047497414 0.00061528315 0.0009359022 0.0007496378 0.0019191338 0.0010488821 0.001502329 0.00072215614 0.00118171 0.00041833147 0.00087635865 0.00088551914 0.0020260068 0.0011389608 0.00060001557 0.0017832523 0.0015496586 0.0010595695 0.00060001557 0.00065039855 0.0034932205 0.0013221718 0.0014000364 0.0005145172 0.0020046323 0.002974123 0.0006213902 0.0005206242 0.020053955 0.0041527795 0.00056184665 0.003923766 0.005714652 0.00043970605 0.00056031987 0.0006610859 0.0036077271 0.00082902913 0.0008702516 0.0009771246 0.002401589 0.00052367774 0.0026061744 0.0018015734 0.007036824 0.0037619297 0.0027893854 0.0034229895 0.0047192066 0.0045680576 0.0051436448 0.05080895 0.020373113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0613244e-06 0.0015084676 1.5306622e-06 1.4541291e-05 2.2959932e-06 2.2959932e-06 2.2959932e-06 1.5306622e-06 0.0 1.5306622e-06 7.653311e-07 7.653311e-07 1.5306622e-06 3.8266558e-06 1.377596e-05 1.5306622e-06 1.0714635e-05 0.0014518332 8.418642e-06 9.183973e-06 3.8266558e-06 3.8266558e-06 2.2959932e-06 4.5919865e-06 5.3573176e-06 2.4490595e-05 3.0613244e-06 6.88798e-06 6.88798e-06 5.3573176e-06 5.3573176e-06 1.7602615e-05 8.418642e-06 0.001370708 1.7602615e-05 4.5919865e-06 1.5306622e-06 0.000100258374 3.0613246e-05 4.5919865e-06 6.88798e-06 4.5919865e-06 4.5919865e-06 4.5919865e-06 4.5919865e-06 1.5306622e-06 4.5919865e-06 4.5919865e-06 1.5306622e-06 0.0013033589 4.132788e-05 4.5919867e-05 3.0613244e-06 4.2093212e-05 2.2959934e-05 3.673589e-05 2.6021258e-05 6.88798e-06 2.2959932e-06 1.0714635e-05 1.5306622e-06 3.8266558e-06 7.6533115e-06 4.5919865e-06 8.418642e-06 0.0129141975 5.3573178e-05 7.806377e-05 4.4389206e-05 0.0037830316 0.0022393588 0.00042246276 0.0002487326 6.4287815e-05 1.6071954e-05 2.5255928e-05 2.6021258e-05 2.755192e-05 5.510384e-05 5.433851e-05 0.00032373506 0.0038848207 3.367457e-05 0.0001033197 6.122649e-05 0.0012099885 0.0006275715 0.00016760752 6.5053144e-05 1.4541291e-05 1.8367946e-05 8.418642e-06 9.183973e-06 8.418642e-06 6.88798e-06 6.88798e-06 4.3623873e-05 0.018384784 0.00017373016 0.0017931708 0.0004209321 0.0029564742 0.0015704595 0.00485373 0.0023740572 7.347178e-05 3.1378575e-05 3.5970563e-05 9.260506e-05 4.056255e-05 3.673589e-05 2.9082583e-05 4.821586e-05 0.0132050235 0.0001500049 0.0008441602 0.00047373996 0.002879941 0.0017679149 0.0080375075 0.0042062597 0.00021582337 6.88798e-05 7.806377e-05 7.347178e-05 0.00010561569 9.643172e-05 8.648242e-05 0.00062604086 0.0049570496 3.2143907e-05 0.00047373996 0.0002556206 0.0007117579 0.00039338018 0.0015605101 0.0012298871 0.0006015503 0.000118626325 4.056255e-05 2.9847914e-05 8.8013076e-05 3.9797218e-05 5.66345e-05 0.00038266554 0.0075316234 0.00034286833 0.0005012919 0.000339807 0.00089620275 0.0004063908 0.0016079607 0.0011104954 0.00034057235 0.00018291414 0.00018061814 0.00018597546 0.00026633524 0.00025179394 0.0006000196 0.00092911196 0.0055899783 0.00041634013 0.0005364971 0.001171722 0.0010232477 0.0006765527 0.00092758134 0.00062297954 0.0014778543 0.00029235648 0.00027628453 0.00030842843 0.00052119046 0.00026710055 0.00038419623 0.0011816713 0.021384882 0.0027513653 0.0016240326 0.0034149075 0.006561184 0.0025944724 0.0012880523 0.0022661453 0.0071948776 0.0011196794 0.0012980016 0.0020839965 0.0036827733 0.0016975044 0.0029985672 0.0054376777 0.12069884 0.019708807 0.015819395 0.0154979555 0.0388329 0.04841944 0.013262423 0.022297157 0.076905064 0.0058356496 0.0053542564 0.01021717 0.031595163 0.009405919 0.029286927 0.055671714 0.04684056 0.010068696 0.009988336 0.008787531 0.017513838 0.020699145 0.00820588 0.013098642 0.032963578 0.0037279278 0.003339905 0.00525859 0.015037991 0.005808098 0.01518417 0.031126017 0.00030919377 0.0002678659 0.0003321537 0.0003199084 0.00028011118 0.00029235648 0.00026250858 0.00029388713 0.00027398852 0.0002847032 0.0003053671 0.0002632739 0.00031072443 0.00030919377 0.00030077514 0.00029618313 1754.0 11.899088 20871.0 0.033443533 0.0013415745 0.0019165348 0.00086244073 0.017536294 0.00086244073 0.00086244073 0.0027310622 0.004360117 0.0027789755 0.0010540942 0.0015811413 0.0034018494 0.0016769681 0.007905707 0.0014374012 0.011355469 0.008720234 0.009582674 0.010397201 0.010732596 0.009295194 0.009486848 0.008911887 0.010253462 0.013128264 0.0014374012 0.005126731 0.004024723 0.0019165348 0.0022040152 0.0015811413 0.0031622825 0.004887164 0.0028748023 0.010924249 0.010540942 0.0075223995 0.008049446 0.010924249 0.007905707 0.008145274 0.0018207082 0.002683149 0.009295194 0.005605865 0.004024723 0.0043122037 0.02242346 0.012457477 0.014805232 0.018686214 0.010397201 0.00412055 0.013032437 0.019979876 0.0016769681 0.0031622825 0.0007187006 0.004072637 0.004887164 0.0036893296 0.0041684634 0.0074744863 0.0031622825 0.036893297 0.006899526 0.020842317 0.017440468 0.07421781 0.0071390923 0.010301375 0.014565665 0.031766567 0.007091179 0.0041684634 0.026879402 0.013942791 0.034018494 0.037564084 0.013319918 0.0019165348 0.040582627 0.026735662 0.056202386 0.01902161 0.007570313 0.009295194 0.008049446 0.008480667 0.0019165348 0.0009582674 0.0035455895 0.001533228 0.0012936611 0.0023477552 5.88046 0.0 0.0 0.0 3.0 654983.0 741376.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1327872800.0 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 10.0 0.0 5.0 0.0 5.0 0.0 526336.0 4096.0 4096.0 4.0 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 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -526336.0 0.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.487795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1500716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6878614 0.0 5.5647163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -525852.0 0.0 37672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 578588.0 37672.0 700416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.17333245 0.0057262075 0.0031368372 0.0025671758 0.0032330137 0.0032182173 0.0040690103 0.0025893704 0.0037360913 0.0034993489 0.0032404119 0.004446319 0.003210819 0.002766927 0.0033809778 0.0038840554 0.0031146426 0.0024636008 0.0026707505 0.002692945 0.003425367 0.002914891 0.002544981 0.0038766572 0.0035215435 0.0027965198 0.0029592803 0.0030776516 0.003388376 0.002389619 0.002692945 0.002944484 0.0031146426 0.0038988518 0.004283558 0.0034549597 0.0070282905 0.0026707505 0.0027447324 0.003284801 0.0035215435 0.0029296875 0.0030998462 0.004868016 0.0028779001 0.0026041667 0.0025597773 0.002093691 0.0034845525 0.0036029238 0.0030998462 0.0028926965 0.004231771 0.0038544626 0.003573331 0.0046978574 0.0032626064 0.003647313 0.003203421 0.0033291904 0.0029222893 0.00316643 0.0031812263 0.0024266099 0.009343928 0.00419478 0.005563447 0.0026707505 0.0050751655 0.0053341025 0.0041355942 0.0026263613 0.0031516335 0.0036695076 0.0026337595 0.0026337595 0.0036399148 0.0047200522 0.004794034 0.0034179688 0.003025864 0.0029296875 0.0023822207 0.003025864 0.0033661814 0.005060369 0.0031220408 0.0045942827 0.004239169 0.0038174717 0.003462358 0.004157789 0.0030702534 0.0036029238 0.0030110676 0.002692945 0.003469756 0.0028557056 0.0030406604 0.0027151396 0.0033661814 0.0029296875 0.004091205 0.0028483074 0.0034919507 0.0028187146 0.0034993489 0.0026633523 0.0029740767 0.0030036694 0.0033291904 0.003129439 0.0032182173 0.0024783972 0.0026263613 0.0027595288 0.0035511365 0.0040024268 0.0026781487 0.003055457 0.0036251184 0.0027595288 0.0029740767 0.0025227864 0.0030110676 0.0031960227 0.0025153882 0.002544981 0.003203421 0.0031442354 0.0029370857 0.003972834 0.0030998462 0.0027077415 0.0025375828 0.0027891216 0.0033069958 0.006710168 0.002988873 0.006895123 0.0034179688 0.0030406604 0.0030406604 0.0030110676 0.0038914536 0.003647313 0.003351385 0.0027595288 0.0034549597 0.0031960227 0.0026707505 0.0028113164 0.0027965198 0.0023822207 0.0024562026 0.0024044153 0.0024488044 0.002655954 0.002766927 0.002648556 0.0036769058 0.0031442354 0.0035437383 0.0026337595 0.0028261128 0.0023452297 0.0025597773 0.002611565 0.003647313 0.0033735796 0.0027151396 0.002389619 0.0030184658 0.0028557056 0.0029296875 0.002951882 0.0039580376 0.0026411577 0.002397017 0.0026189631 0.00324781 0.0035955256 0.0024931936 0.0031442354 0.003684304 0.0023674243 0.0026781487 0.0025893704 0.0025967686 0.0033069958 0.0025819722 0.0028483074 0.0031368372 0.0027447324 0.0030406604 0.0031960227 0.00419478 0.002907493 0.0035659329 0.0036917021 0.003787879 0.002692945 0.0030480586 0.0027965198 0.0027447324 0.002944484 0.0033439868 0.0032995977 0.0038026753 0.0028409092 0.0028483074 0.0027965198 0.0029296875 0.0038396663 0.0030332622 0.0033069958 0.0031812263 0.0026855469 0.0029296875 0.0030998462 0.003055457 0.0026041667 0.0023304333 0.0021898674 0.0030850498 0.0030036694 0.004675663 0.0027595288 0.003684304 0.0030702534 0.002648556 0.0035363398 0.0037508877 0.0033957742 0.0029740767 0.0026633523 0.0030998462 0.0025523792 0.002389619 0.0027891216 0.0032626064 0.004231771 0.0024636008 0.002729936 0.0031590317 0.002648556 0.0024783972 0.0034179688 0.0031590317 0.0025967686 0.002470999 0.0026633523 0.0032182173 0.003284801 0.0032921992 0.005082564 0.061068702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006988758 7.4546755e-05 8.200143e-05 3.354604e-05 0.00011927481 4.4728054e-05 0.00012300214 5.5910066e-05 2.6091364e-05 1.1182014e-05 7.4546756e-06 1.8636689e-05 1.8636689e-05 3.7273378e-06 7.4546756e-06 1.8636689e-05 0.013306596 3.7273378e-05 0.000104365456 0.00011927481 0.00022364027 0.00011182013 0.00089456106 0.00035036975 3.7273378e-05 7.4546756e-06 1.4909351e-05 1.4909351e-05 2.2364027e-05 7.4546756e-06 7.4546756e-06 7.4546756e-06 0.019322518 0.0001379115 0.0003652791 0.00082374166 0.00032055104 0.00017145753 0.00018636689 0.000104365456 0.00029818702 0.00014163884 0.00011182013 0.0001379115 0.00023109495 0.00016400286 0.00014909351 0.00023482228 0.0060643787 6.336474e-05 8.945611e-05 6.709208e-05 0.000287005 0.00013045683 0.0005218273 0.0002571863 1.8636689e-05 3.7273378e-06 1.4909351e-05 3.7273378e-05 2.2364027e-05 1.8636689e-05 7.4546756e-06 2.9818702e-05 0.005538824 5.9637405e-05 0.00020127624 0.00035782444 0.00032055104 0.00016027552 0.0004920086 0.00026464098 1.4909351e-05 1.1182014e-05 3.354604e-05 3.7273378e-05 3.354604e-05 2.9818702e-05 3.354604e-05 4.4728054e-05 0.009676169 0.00017518488 0.00011182013 0.0001379115 0.0030713263 8.200143e-05 0.00023109495 8.200143e-05 0.00023109495 0.0002460043 0.00014536617 0.00020500358 0.0002683683 0.0002944597 0.00016400286 0.00014536617 0.0050505428 0.00018263955 0.00017891222 0.00021245825 0.00016027552 0.00015654818 0.00017518488 0.00019009423 0.00015654818 0.00015282085 0.00015654818 0.00015654818 0.00019009423 0.00015282085 0.00018636689 0.00017518488 0.00799514 0.0002571863 0.0004062798 0.002392951 0.0007491949 0.00042118918 0.0011331107 0.0006634661 0.00014536617 0.00012300214 0.00017145753 0.00018636689 0.00014536617 0.00016400286 0.00014909351 0.00016400286 0.011327379 0.00054791867 0.0008982884 0.003034053 0.00080137764 0.00073428557 0.00041000717 0.00046964455 0.0009281071 0.00042118918 0.0004994633 0.00041000717 0.0007380129 0.00048455392 0.0006634661 0.0005330093 0.008062231 0.0006821028 0.00041746182 0.0004994633 0.006466931 0.00043609852 0.0006783755 0.0003764611 0.0006597388 0.0007156489 0.0005106453 0.00067464815 0.0008125596 0.0007566496 0.0005702827 0.0005814647 0.0030638718 0.00011927481 0.00034291507 0.00019382157 0.0007193762 0.00022736761 0.00011927481 0.0001677302 0.0009169251 0.00012672949 0.00010063812 0.00011182013 0.0004323712 0.00017891222 0.00031682372 0.0004957359 0.004524988 0.00048828125 0.0013828423 0.0005367366 0.0010212905 0.0008125596 0.0005143726 0.00050691795 0.0016586654 0.00044728053 0.00032800573 0.0003839158 0.0006522841 0.00045846254 0.0006783755 0.00087219704 0.00786841 0.0017257574 0.0037869753 0.0016735747 0.0059301946 0.0033918773 0.0016698473 0.001975489 0.009597895 0.0009802899 0.00083492365 0.0012039301 0.0037236104 0.0017816675 0.003123509 0.0041671637 0.050915435 0.043211028 0.047005456 0.044877145 0.047810562 0.04905922 0.043337755 0.042361192 0.04252147 0.043296754 0.04464605 0.043509215 0.044217408 0.043337755 0.044396322 0.04305448 530.0 7.016981 3719.0 0.012906696 0.008066685 0.007260016 0.0075289058 0.014251143 0.005646679 0.006722237 0.008604463 0.0075289058 0.0061844583 0.0069911266 0.007260016 0.007797795 0.0061844583 0.009411132 0.0040333425 0.015326701 0.013982253 0.012100027 0.014251143 0.019091154 0.01640226 0.013713364 0.019091154 0.014520032 0.0123689165 0.01048669 0.014520032 0.011024469 0.0043022316 0.007260016 0.0075289058 0.01075558 0.00537779 0.008604463 0.006722237 0.0123689165 0.009142242 0.015326701 0.009948911 0.0123689165 0.011024469 0.009680022 0.008873353 0.011024469 0.0083355745 0.012906696 0.009680022 0.0123689165 0.004840011 0.00537779 0.013713364 0.013444474 0.006453348 0.006722237 0.011024469 0.01586448 0.012906696 0.009142242 0.016940037 0.009411132 0.009948911 0.011293358 0.0075289058 0.0083355745 0.011024469 0.0150578115 0.008066685 0.014788922 0.014251143 0.02151116 0.0083355745 0.013175584 0.01048669 0.008873353 0.007797795 0.01586448 0.009948911 0.011562248 0.011293358 0.011293358 0.0061844583 0.011024469 0.01075558 0.018015595 0.013444474 0.0061844583 0.0075289058 0.011831137 0.0083355745 0.006722237 0.0059155687 0.009948911 0.006453348 0.008066685 0.006453348 6.498956 0.0 0.0 0.0 1.0 135168.0 143360.0 1.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 816792200.0 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 1.0 13.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8470583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9173803 0.0 -4.7083397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.671093 0.0 7.9921865 0.0 0.0 0.0 0.0 0.0 0.0 -6.5957522 0.0 2.8036277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42284.0 0.0 -1844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11764.0 0.0 56049.0 0.0 0.0 0.0 0.0 0.0 0.0 -9610.0 0.0 912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4180.0 17740.0 912.0 135168.0 0.0 0.0 0.0 0.0 1368.0 139264.0 56.0 32896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.17025271 0.011380976 0.007987282 0.0055784746 0.010663119 0.0028416028 0.002272866 0.0025669446 0.01065549 0.0019011064 0.0020238704 0.001701355 0.005158858 0.0014641501 0.0013906305 0.0069469106 0.008138483 0.0017859719 0.0014447299 0.001176314 0.0039846245 0.0027861162 0.001467618 0.0009203824 0.0033305774 0.0009363348 0.0011638295 0.0010792125 0.00315094 0.0009945956 0.0008052479 0.00078166614 0.0043043657 0.00072271173 0.0011236017 0.00092385034 0.008671153 0.0011090365 0.0006533536 0.0007455999 0.0022028142 0.0007490678 0.0007102273 0.0016146573 0.0015813654 0.0013261274 0.0007830533 0.0005409934 0.0046795933 0.002123746 0.002084212 0.010392622 0.002763228 0.0020287253 0.0017887462 0.001625061 0.0031627307 0.0019933528 0.0021729902 0.0037959705 0.0030600808 0.0020439841 0.0015827526 0.0024046465 0.011805448 0.0032979792 0.005767129 0.0057539507 0.005191456 0.019339127 0.0047191274 0.002362338 0.0028540872 0.0022915928 0.0016257546 0.0025343462 0.003657948 0.004764904 0.0022187666 0.0023380627 0.009305087 0.0026363025 0.0029172031 0.00728191 0.0059349756 0.013132269 0.004169811 0.0030482898 0.0020009822 0.0045166016 0.002399098 0.0043480615 0.0017450507 0.003512296 0.0034665195 0.0026300603 0.0016063344 0.0030351118 0.0010174838 0.0021029385 0.0069566206 0.0057081743 0.004005432 0.0013101752 0.005547957 0.0032376377 0.0033832898 0.0009543679 0.0032209917 0.00160356 0.0036766746 0.0037959705 0.0026279797 0.0009841919 0.003778631 0.0033624822 0.011686846 0.005995317 0.0012123801 0.0011485707 0.0024088079 0.001151345 0.0006235296 0.001048695 0.0021327625 0.002150102 0.0014371005 0.0009134466 0.005262895 0.00150091 0.0006755482 0.01191642 0.0041788276 0.0054890024 0.0014128252 0.0007386641 0.002306158 0.013551885 0.0013261274 0.058712352 0.0012505271 0.00934254 0.0005888505 0.00064017554 0.0031828447 0.0006082708 0.0008475564 0.00095644867 0.0012928356 0.0009834983 0.00068179047 0.0004910556 0.0014801025 0.00061867456 0.0005382191 0.00070398505 0.0013399991 0.0004827326 0.00061104516 0.00049244275 0.0011950406 0.0031134866 0.0005090887 0.0013393055 0.0013399991 0.001057018 0.00054446136 0.0008073287 0.0012907549 0.0004931363 0.0004723289 0.0004979914 0.0011568937 0.0004334883 0.00048065186 0.00056180084 0.003821633 0.0005923184 0.0018643466 0.0007213246 0.0013830011 0.0005229603 0.0020016758 0.0016424005 0.0028894597 0.0017429698 0.0024129695 0.0011451028 0.0012734153 0.0004751032 0.0010805997 0.00067416107 0.011316473 0.0017596158 0.0021390049 0.010584745 0.0034089522 0.00068040326 0.004694158 0.003445712 0.0017381147 0.0018178766 0.0008676702 0.0008121837 0.001308788 0.00043556906 0.00078998914 0.00062561035 0.0029151223 0.0008087158 0.002827731 0.0016722246 0.0017776489 0.00047995828 0.001514088 0.00095506146 0.0044833096 0.00089610706 0.0011499579 0.0021390049 0.0017082908 0.00066861237 0.00063670764 0.00081426447 0.0022735596 0.00071438873 0.0009106723 0.0005895441 0.0022354126 0.0013504028 0.0006304654 0.00054446136 0.024102645 0.0036093972 0.0011915728 0.0053863525 0.004809293 0.0011672974 0.0012442849 0.0012484464 0.0063608345 0.0015182495 0.0019482699 0.0015286532 0.0048897485 0.0013968728 0.002370661 0.0014613759 0.006755482 0.0018067793 0.0018678145 0.002229864 0.0094306255 0.0025669446 0.0034644387 0.051193237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012604389 1.1105189e-05 1.0411114e-05 1.8740006e-05 2.4639636e-05 1.0411114e-05 1.1452225e-05 1.0064077e-05 8.675928e-06 2.42926e-06 3.8174085e-06 3.1233342e-06 6.940743e-06 5.205557e-06 6.5937056e-06 2.7415934e-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 0.004213031 0.00031510973 8.849447e-05 7.461298e-05 0.0001700482 9.127077e-05 0.0001186867 8.398299e-05 7.0448536e-05 4.8238162e-05 6.767224e-05 5.344372e-05 7.461298e-05 4.6850015e-05 6.281372e-05 0.0001065404 0.0034224803 4.1644456e-05 5.448483e-05 0.00013465041 0.00020024042 0.00017074228 0.00067880464 0.00017976524 2.6027785e-05 2.3251489e-05 2.1169266e-05 0.00014540856 2.1169266e-05 2.1516302e-05 2.290445e-05 0.0005215968 0.017442433 0.00032656195 0.0006718639 0.0015741604 0.0021613473 0.0014218112 0.0048009115 0.002289057 5.4137792e-05 1.7004819e-05 1.7351857e-05 0.00066145277 3.262149e-05 2.0128155e-05 2.3598524e-05 0.0026006964 0.007567492 0.00029255231 0.00028005897 0.0004681531 0.0009942614 0.0006503476 0.0015207167 0.00069407426 0.00012319819 5.4137792e-05 0.00010445818 0.0002814471 0.00011278707 4.962631e-05 6.316076e-05 0.0009581695 0.010167841 0.0006454891 0.00068435725 0.00070032093 0.0033128166 0.0009276303 0.0029088652 0.0013187411 0.00045531272 0.00020024042 0.00025229598 0.00029289935 0.00027068896 0.0002019756 0.00033350268 0.00078118057 0.01921961 0.0027520044 0.002084999 0.018080289 0.00699141 0.0027061957 0.00585764 0.00346586 0.0024563288 0.0017650309 0.0018306209 0.0017067286 0.0016942353 0.0016296863 0.0018125749 0.0027058485 0.021645052 0.0020881225 0.0015883889 0.0016928471 0.0068171974 0.00383129 0.0050282213 0.0031087587 0.0048748306 0.0010827559 0.0012139359 0.001447839 0.002102351 0.0010942081 0.002028085 0.0043220003 0.08301996 0.012391655 0.010309433 0.010536741 0.027132057 0.025193509 0.012812264 0.013843311 0.05020482 0.005401286 0.0043414347 0.008622832 0.017321318 0.0083722705 0.019616274 0.03558588 0.07533517 0.014167097 0.011078119 0.013335596 0.031779233 0.037166983 0.016356207 0.0167671 0.059772287 0.0058080135 0.006532974 0.009972459 0.023892812 0.012943444 0.027145244 0.052304048 0.0013732259 0.0009144429 0.0009120136 0.0009311006 0.0009765625 0.0009134017 0.0010796326 0.0009113195 0.0009210366 0.00090715504 0.0009081962 0.0010608925 0.0009120136 0.001065057 0.0009134017 0.00093665323 6936.0 10.644608 73831.0 0.006677412 0.0013002668 0.0011919113 0.0014086224 0.00819439 0.0020993892 0.0012054557 0.0013273557 0.004076878 0.0011648224 0.0016659668 0.0020181225 0.0034267448 0.0015711557 0.0019639446 0.001124189 0.011133535 0.008722623 0.010063523 0.00977909 0.011946201 0.011377335 0.009806179 0.00880389 0.011959746 0.009372757 0.009955168 0.012772413 0.012108735 0.009332123 0.009007056 0.008411101 0.0047541005 0.0069347564 0.0076661566 0.014641547 0.012135823 0.010253145 0.0081808455 0.004794734 0.0076932455 0.014262302 0.001760778 0.0028443336 0.009399845 0.00782869 0.004429034 0.010551124 0.010971001 0.007070201 0.006135634 0.017309802 0.022280613 0.0077880565 0.0051062563 0.008086034 0.0038195339 0.009752002 0.004496756 0.0095488345 0.0031694004 0.008695534 0.009914534 0.009305035 0.002857878 0.031341847 0.006650323 0.015874092 0.023404803 0.06583955 0.006650323 0.012515068 0.015305224 0.033766303 0.0033319336 0.006216901 0.027522314 0.012068101 0.040416628 0.04097195 0.014776991 0.001002289 0.03745039 0.025978247 0.052538905 0.013029757 0.006596145 0.004943723 0.007232734 0.0055125896 0.0020858448 0.0010293779 0.0033319336 0.00086684455 0.0012054557 0.0011377335 5.9874444 0.0 0.0 0.0 1.0 1441792.0 1675264.0 0.0 0.0 500.0 0.0 0.0 0.0 1.0 0.0 1515638900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 5.0 0.0 5.0 0.0 1311744.0 1024.0 4096.0 9.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -83968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1304576.0 -14336.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.688821 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -5.88844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3721557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.456908 -5.236591 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 -83612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -6808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22884.0 0.0 0.0 -64972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1304196.0 -14062.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 3.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 4.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -3.0 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 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -3.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14062.0 1409024.0 155648.0 1519616.0 0.0 0.0 15016.0 1632256.0 83612.0 1433600.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1429504.0 0.0 0.0 0.0 0.0 2112.0 1411716.0 0.0 0.0 0.0 0.0