Input: 0.15768228 0.0042495267 0.0029947916 0.0039535984 0.0034327651 0.005350379 0.004131155 0.0028053976 0.0029119318 0.0031723485 0.002935606 0.003125 0.0040482953 0.004592803 0.0036576705 0.0029119318 0.0030894887 0.0037760416 0.004888731 0.0030066287 0.0028409092 0.0040482953 0.0033262311 0.003113163 0.004178504 0.004486269 0.0038470645 0.0038470645 0.0032078598 0.0049597537 0.0032433711 0.003515625 0.0031723485 0.0029592803 0.0026633523 0.0030066287 0.0032670454 0.0029592803 0.0029947916 0.002627841 0.0043323864 0.0038470645 0.0031723485 0.0033617425 0.00460464 0.004616477 0.004131155 0.0027580492 0.0038233902 0.003409091 0.0032433711 0.0036458333 0.0031960227 0.0040482953 0.0033262311 0.0036931818 0.004012784 0.00390625 0.0037286931 0.0032788825 0.003705019 0.004663826 0.00415483 0.0038825758 0.0031841856 0.0031013258 0.0025804925 0.0030539774 0.0028527463 0.002829072 0.0031605114 0.0026751894 0.003125 0.0029000947 0.0032907196 0.0031723485 0.0044744317 0.00477036 0.003598485 0.0029000947 0.0040719695 0.0027935605 0.0032907196 0.0026633523 0.0027580492 0.003314394 0.0032552083 0.0031368372 0.0031841856 0.0038825758 0.0030776516 0.00304214 0.004024621 0.00398911 0.004012784 0.0029592803 0.003716856 0.0030539774 0.0027107007 0.0027817234 0.0031486743 0.0038233902 0.004190341 0.0030539774 0.004782197 0.0043323864 0.003929924 0.003918087 0.0036813447 0.0047466857 0.004391572 0.0042495267 0.0035392991 0.0028645834 0.0026751894 0.0027225378 0.002829072 0.0034327651 0.0029947916 0.0030894887 0.0035392991 0.0032788825 0.0029119318 0.0031486743 0.003231534 0.003929924 0.0031960227 0.002746212 0.0029119318 0.0025804925 0.0031960227 0.0026160039 0.0025094696 0.0046401517 0.0031013258 0.0031013258 0.002639678 0.0030184658 0.0023792614 0.0025331439 0.0029592803 0.003030303 0.0026751894 0.0027225378 0.0034327651 0.002746212 0.003527462 0.0028645834 0.0025686554 0.0035511365 0.003113163 0.0023082385 0.0037286931 0.0039417613 0.0034564394 0.00304214 0.0029711174 0.004131155 0.0029592803 0.002450284 0.0026751894 0.0024739583 0.002556818 0.0029829545 0.0028053976 0.0030066287 0.0024857954 0.002556818 0.002817235 0.0027817234 0.0027107007 0.0034564394 0.003420928 0.0038352273 0.0026633523 0.0028882576 0.0033854167 0.003515625 0.0029829545 0.0037286931 0.0024857954 0.004190341 0.0030776516 0.002627841 0.003113163 0.0027817234 0.002746212 0.003420928 0.0029711174 0.0040719695 0.0030184658 0.0025331439 0.0034801136 0.0029592803 0.00234375 0.0027935605 0.0029119318 0.003409091 0.003030303 0.0043323864 0.0029119318 0.0024147728 0.002438447 0.0026160039 0.002817235 0.0036458333 0.0029474432 0.0028053976 0.0038707387 0.002639678 0.0024147728 0.0028527463 0.0031486743 0.0030894887 0.0030184658 0.0026870265 0.003113163 0.0037760416 0.0027935605 0.003716856 0.0028882576 0.004273201 0.0024266099 0.002331913 0.004202178 0.0029592803 0.004379735 0.0035866478 0.0032433711 0.004296875 0.0034327651 0.0034446022 0.0037523673 0.003799716 0.0033972538 0.0030066287 0.0037523673 0.004865057 0.0033735796 0.0030776516 0.0029711174 0.0029474432 0.00234375 0.0026988636 0.003030303 0.004285038 0.0031605114 0.002923769 0.0026633523 0.0032078598 0.0027107007 0.0030894887 0.0032552083 0.0036695076 0.0028053976 0.003302557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005865403 0.0009886188 0.0005123939 0.0008439429 0.00030743633 0.00058473187 0.0011513792 0.00017481674 0.00016878858 0.00025921102 6.6309796e-05 0.00019290124 8.439429e-05 0.00043402778 0.00050636573 0.00020495756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020700714 0.002176167 0.0026222512 0.0022605613 0.0032371238 0.003206983 0.0015190972 0.0038278839 0.003351659 0.002586082 0.0028874904 0.0027126735 0.0029538001 0.0024836033 0.0026041667 0.0025981385 0.16301359 0.036958672 0.03236521 0.03742284 0.02868803 0.030882282 0.039213203 0.02698206 0.02390167 0.028085215 0.02379316 0.028712142 0.02616223 0.027669271 0.03657287 0.026861496 0.020242574 0.019416714 0.019091194 0.019645786 0.019633729 0.018831983 0.018807871 0.019163532 0.019181617 0.020073785 0.019458912 0.019211758 0.018747589 0.018663194 0.019079138 0.019392602 319.0 6.1567397 1964.0 0.00814664 0.0030549897 0.0050916495 0.00407332 0.0066191447 0.0035641547 0.0061099795 0.00407332 0.023930753 0.017820774 0.0030549897 0.0045824847 0.032077394 0.029022403 0.036150713 0.0045824847 0.015274949 0.0061099795 0.0025458247 0.0066191447 0.0015274949 0.022403259 0.0056008147 0.0066191447 0.015784115 0.017820774 0.01934827 0.00407332 0.01934827 0.019857435 0.021384928 0.01629328 0.0030549897 0.0045824847 0.0035641547 0.00407332 0.0061099795 0.0035641547 0.0076374747 0.0045824847 0.0025458247 0.0025458247 0.0045824847 0.0025458247 0.017820774 0.022912424 0.008655804 0.0050916495 0.016802443 0.00203666 0.00407332 0.0035641547 0.00407332 0.0025458247 0.00407332 0.00407332 0.0025458247 0.025967414 0.00407332 0.0056008147 0.037169043 0.020875763 0.030549899 0.0066191447 0.018839104 0.0061099795 0.0035641547 0.0025458247 0.008655804 0.019857435 0.01934827 0.0066191447 0.021894094 0.019857435 0.021894094 0.017820774 0.01629328 0.017820774 0.017311608 0.017820774 0.00407332 0.0061099795 0.0076374747 0.0066191447 0.0061099795 0.0030549897 0.0066191447 0.0045824847 0.0071283095 0.0045824847 0.0056008147 0.0035641547 0.0030549897 0.01629328 0.0045824847 0.0030549897 6.137443 0.0 0.0 0.0 1.0 84480.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1212454700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 9.0 0.0 4.0 0.0 4.0 0.0 65536.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9900656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.722914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.136545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65070.0 0.0 0.0 0.0 0.0 0.0 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 72168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2360.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.12182584 0.010931555 0.006611528 0.02006391 0.010017788 0.0036453274 0.0062741777 0.005108948 0.01840638 0.0021790506 0.002773176 0.002501348 0.011183018 0.0042182025 0.0035603258 0.007017056 0.009024332 0.002899793 0.0018248773 0.0014220054 0.0043837787 0.0025606721 0.001075801 0.001028873 0.0032982377 0.0010881971 0.0008792349 0.0014574226 0.0025208276 0.00086683885 0.0008500156 0.0010111644 0.0055782273 0.00086418254 0.0008872038 0.0009872577 0.0033194881 0.0017292505 0.00074553455 0.0008500156 0.001762897 0.0007499617 0.0009952267 0.0017186253 0.0015468514 0.00074287824 0.000779181 0.00090668333 0.003061827 0.0018053978 0.0024942646 0.0066867894 0.0026926016 0.0017265943 0.004242995 0.0018594092 0.0026111417 0.004916809 0.0018886285 0.0045165936 0.002365877 0.0023596787 0.0016867497 0.0017699804 0.0036966826 0.0021693108 0.0024942646 0.0015344553 0.0020152454 0.018110646 0.0029316684 0.001525601 0.0059164627 0.0035798054 0.0011847093 0.00093324634 0.0016345092 0.013855254 0.002225093 0.0011200727 0.010492381 0.006908148 0.004923007 0.0032185488 0.0016513325 0.012327882 0.004297006 0.005953651 0.0014450266 0.0030582855 0.002996305 0.0015477368 0.0012511167 0.004730868 0.003399177 0.002705883 0.0013750774 0.001961234 0.00095538213 0.0014007549 0.0051603033 0.0038250703 0.0032716747 0.0032114652 0.0034496468 0.0018231064 0.0051160315 0.001061634 0.0024074921 0.0013493998 0.0017593553 0.0019098789 0.0019913388 0.00065787666 0.002589006 0.0024367115 0.010241803 0.009919506 0.001684979 0.0034469904 0.0019329002 0.0011811676 0.00067912706 0.002918387 0.0014264325 0.00509301 0.0016672702 0.00081282743 0.0029033346 0.003051202 0.0010775719 0.0138304625 0.0031663082 0.009344859 0.0012254392 0.00063396996 0.0022472288 0.016016597 0.0013706503 0.05388745 0.0032911543 0.011527452 0.0009810597 0.00056402077 0.0014237761 0.0010014246 0.00063042826 0.0007419928 0.0034204274 0.0023083237 0.0006888668 0.000580844 0.0012891904 0.0007960042 0.0007765247 0.00066053297 0.0012095014 0.0006286574 0.0006826688 0.0005799586 0.0021223829 0.0011041348 0.0004781338 0.0007933479 0.0012077305 0.0011484065 0.0006321991 0.0007552743 0.00108377 0.0005719897 0.0004993842 0.0007419928 0.0034859495 0.0005622499 0.0010766864 0.0006561058 0.0018594092 0.0006561058 0.00055251014 0.00056313537 0.0012077305 0.0010536652 0.0015335699 0.0018434714 0.0030299516 0.00089959987 0.00071277353 0.00056047906 0.0012422624 0.0013493998 0.0011997616 0.00087480777 0.010540194 0.0032929252 0.004726441 0.0026164544 0.0031725063 0.00083407783 0.002290615 0.006029798 0.0026235378 0.0025721828 0.0031238075 0.0009766326 0.034805484 0.0008376196 0.0014609643 0.0011129893 0.0021817067 0.0011838238 0.0014370576 0.0007827227 0.001638051 0.00055516645 0.00071277353 0.0006082924 0.002364106 0.00079423335 0.0006649601 0.0032380284 0.001920504 0.0005666771 0.00063662627 0.00067381444 0.0028758862 0.0012883049 0.0011581463 0.0009527258 0.0027377587 0.001558362 0.0006507932 0.0028900532 0.0152967395 0.0044475296 0.00077032665 0.0065070465 0.007503159 0.0005675625 0.0006171468 0.0010917388 0.0068992935 0.001992224 0.00068178336 0.0014591935 0.0038126742 0.0009748617 0.0018169084 0.0018018561 0.0053550983 0.0021135285 0.003752465 0.0025650992 0.00885433 0.0029892216 0.0041376282 0.05240081 0.02267869 1.10872215e-05 2.2174443e-06 1.3304666e-06 3.1044221e-06 8.869778e-07 1.3304666e-06 4.434889e-07 4.434889e-07 4.434889e-07 4.434889e-07 0.0 4.434889e-07 8.869778e-07 4.434889e-07 4.4348885e-06 0.0034893705 1.9956999e-05 6.652333e-06 3.9914e-06 8.426288e-06 1.6852577e-05 6.2088443e-06 7.9828e-06 1.0200244e-05 2.2174443e-06 1.6852577e-05 3.547911e-06 3.547911e-06 3.9914e-06 7.095822e-06 2.6165844e-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 0.0016009948 4.035749e-05 9.313267e-06 7.539311e-06 7.095822e-06 4.8783777e-06 2.5722355e-05 1.19742e-05 4.6122845e-05 6.652333e-06 1.6852577e-05 6.652333e-06 6.652333e-06 6.2088443e-06 6.2088443e-06 1.3304666e-05 0.0015238278 6.38624e-05 2.0843978e-05 5.055773e-05 1.59656e-05 6.652333e-06 7.095822e-06 1.0643733e-05 3.4592133e-05 6.2088443e-06 5.3218664e-06 9.756755e-06 7.539311e-06 4.8783777e-06 9.756755e-06 3.902702e-05 0.0026635942 0.00044792375 0.00010821129 0.00011929851 5.6323086e-05 1.9070021e-05 8.248893e-05 4.4792378e-05 1.0200244e-05 7.9828e-06 1.0643733e-05 1.1530711e-05 8.426288e-06 8.426288e-06 1.4635133e-05 1.951351e-05 0.005269091 0.0005956056 0.0003658783 0.00010200244 0.00018981323 0.00015832552 8.869777e-05 5.6766577e-05 0.000119742 4.78968e-05 4.346191e-05 4.39054e-05 2.8826777e-05 2.9270266e-05 3.503562e-05 9.18022e-05 0.007641757 0.00045191517 0.00026476287 0.00023327515 0.00089008216 0.00094596174 0.0007849753 0.0003029029 5.1888197e-05 0.00016098646 4.346191e-05 0.000105993844 9.623708e-05 5.58796e-05 5.1888197e-05 0.0006337456 0.0068572247 0.00045413262 0.0005454913 0.0004430454 0.0007610269 0.00075393106 0.0024857551 0.0012750305 4.8783775e-05 9.623708e-05 5.0114242e-05 5.499262e-05 6.5192864e-05 0.00012373339 0.00014856877 0.00036898276 0.0073792115 0.00013482061 0.0028396593 0.00063197163 0.0013091791 0.0011499666 0.0053453716 0.0031744933 0.0002150921 0.0001955786 0.00045102817 0.00010288942 0.0002310577 0.00012861178 0.00019380463 0.00013215968 0.0057334243 0.0002350491 0.0009867627 0.00036321738 0.0006896252 0.0005193255 0.0024019356 0.0016005513 0.00019690907 0.00034769528 0.00034104293 0.0001317162 0.00029225918 0.00017650858 0.00019957 0.00031665104 0.0103665525 0.001496775 0.001993926 0.01674481 0.0021748694 0.0018781754 0.0033035486 0.0023624653 0.0018799494 0.0014218254 0.001293657 0.0012750305 0.0018511226 0.0013419973 0.0016551005 0.0016395784 0.02503539 0.0031545362 0.0015881336 0.0019407073 0.006978741 0.0061063985 0.0017761729 0.003048986 0.017483218 0.0013122836 0.0010231289 0.0016803794 0.008601467 0.001176576 0.005375972 0.012718817 0.12177672 0.02206712 0.009385112 0.014811198 0.040077645 0.046660352 0.013343694 0.024709426 0.09276723 0.0062017483 0.006089989 0.0099159675 0.05856847 0.00911414 0.03411671 0.07168421 0.008033801 0.0016865882 0.0007938451 0.004744444 0.005467331 0.006417284 0.004137308 0.0055187754 0.006935279 0.0019393768 0.0020280746 0.00063640653 0.0056394045 0.0023473867 0.003810013 0.007984574 0.0061871135 0.0053112227 0.0052127684 0.006487799 0.0063179424 0.006304638 0.006218601 0.006539687 0.005469548 0.0056238826 0.0054615657 0.005111653 0.00566424 0.0053945985 0.0053090053 0.0060287877 3257.0 14.206325 46270.0 0.055521935 0.0017722066 0.0014696347 0.0011670629 0.004689864 0.0129457535 0.0014696347 0.0024854117 0.0056840284 0.0028095958 0.0016209207 0.0025286363 0.0084504 0.0031770046 0.0040414957 0.0011886752 0.019234926 0.013313162 0.014350551 0.01376702 0.017419495 0.010957424 0.015323103 0.012297385 0.015236654 0.011670629 0.013205101 0.011951588 0.013853469 0.012599957 0.010114545 0.009574238 0.005186946 0.0088826455 0.0047979252 0.0077371947 0.010373892 0.009077156 0.011043873 0.006872704 0.006980765 0.00920683 0.0014480224 0.0015993085 0.011519343 0.006505295 0.007067214 0.0059866 0.012210935 0.002982494 0.00873136 0.020445213 0.011195159 0.003911822 0.004603415 0.00825589 0.007456235 0.0030905555 0.0019018803 0.0022476767 0.005186946 0.002420575 0.0022044522 0.012859304 0.00484115 0.027793387 0.008039767 0.015971472 0.021590663 0.05230171 0.009703912 0.008039767 0.009163605 0.024573158 0.0026150853 0.0036956992 0.025718609 0.015625676 0.024054462 0.026928896 0.014091204 0.0012102874 0.030451696 0.021028744 0.0408472 0.014199265 0.0060298247 0.0039334344 0.015236654 0.010719689 0.0019018803 0.0013183488 0.0042792307 0.0013615733 0.0011886752 0.0016641453 6.063271 0.0 0.0 0.0 22.0 1129391.0 1236992.0 1.0 181.0 210.0 1.0 1.0 0.0 0.0 0.0 1105557900.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 911872.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1054720.0 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 -5.218135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0394272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.890424 0.0 3.4285424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54910.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1054756.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 -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 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 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 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 -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 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 -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 0.0 0.0 -1.0 -1.0 -1.0 -3.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 2.0 1.0 0.0 -2.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 -1.0 2.0 -2.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -3.0 0.0 3.0 -2.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 2.0 1.0 1.0 0.0 -2.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 3.0 0.0 1.0 -2.0 -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 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 2.0 0.0 1.0 1.0 -2.0 0.0 0.0 -3.0 -1.0 -1.0 2.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 5012.0 910480.0 100.0 906252.0 1000.0 1032192.0 0.0 0.0 0.0 0.0 36772.0 1036288.0 28.0 4960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 88712.0 0.0 0.0 856.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.017658884 0.004028076 0.0036612619 0.003935914 0.0034934445 0.0037263716 0.0038111971 0.0039877263 0.0035943184 0.0036447553 0.0036777686 0.0038717214 0.003861634 0.0039221584 0.0038698874 0.004059255 0.003371479 0.003533794 0.0034232915 0.003809363 0.003639253 0.003754341 0.0038896038 0.0038918962 0.0038006513 0.003719035 0.003946001 0.003950128 0.003791481 0.00393408 0.0039487523 0.0039771805 0.0035571784 0.0035888162 0.0036112836 0.0037208693 0.0037607602 0.0037006945 0.0037208693 0.0038492542 0.0035397548 0.0037139915 0.00376397 0.0039496697 0.0037713062 0.0038428348 0.0038052364 0.0038992325 0.0037474632 0.003724996 0.0035599296 0.003832289 0.0039835996 0.0037841448 0.0037891883 0.00394325 0.003660345 0.0038350401 0.0039629666 0.004010194 0.004057421 0.00388456 0.003924451 0.004136286 0.003725913 0.0036406287 0.0036227466 0.0038983156 0.0035136193 0.0037387514 0.0038937302 0.003857049 0.00365255 0.0037227033 0.0037254544 0.0038001928 0.0037025285 0.0038983156 0.0038689703 0.004020281 0.003850171 0.0037199522 0.003820826 0.0037937735 0.0037584677 0.0038020269 0.0038575074 0.003913905 0.0038153238 0.0038336646 0.0038937302 0.003730498 0.0037139915 0.0038785993 0.0038896038 0.004082181 0.0036140347 0.0038102802 0.0035704756 0.0037460877 0.003710782 0.0038052364 0.003703904 0.0039698444 0.00390932 0.0039840583 0.0038698874 0.0038469615 0.0037703891 0.003896023 0.0038918962 0.0040551284 0.0036530087 0.0037832276 0.0038139482 0.003795149 0.0040418315 0.0038410008 0.0038561318 0.0039579226 0.0039858925 0.0038799748 0.003927202 0.0039799316 0.0040097353 0.003917573 0.004053753 0.004257335 0.0035970695 0.0037442537 0.0035480082 0.0039602155 0.003558554 0.003920783 0.0037768083 0.00396801 0.003490235 0.0038886867 0.003756175 0.004179845 0.0037034457 0.003984975 0.0038148654 0.003991853 0.0037589262 0.0037974417 0.0034980297 0.003802944 0.0036300828 0.0038176165 0.0037479217 0.0037754327 0.0036218294 0.0036938167 0.003816241 0.0038675948 0.003691524 0.0039570057 0.0039184904 0.004117487 0.0038533807 0.0039281193 0.0036626374 0.0040028575 0.003756175 0.003887311 0.0036956507 0.0039515034 0.0038070704 0.0038414593 0.0038020269 0.00389694 0.0037492972 0.0038698874 0.0038139482 0.004043207 0.0037437952 0.0038038609 0.0037346247 0.003831372 0.0039638835 0.0038896038 0.0037868957 0.0039281193 0.0037199522 0.0037598433 0.003858883 0.0038070704 0.0038818088 0.0039739707 0.0040409146 0.004209649 0.0037891883 0.0036140347 0.0038061535 0.0039446256 0.0038001928 0.0038098216 0.0037832276 0.004049168 0.0036919827 0.0036727248 0.0037314151 0.0038309135 0.0038946474 0.003855215 0.0038043193 0.0041188626 0.004073469 0.004021198 0.003939582 0.0037309567 0.003938665 0.003820826 0.0038533807 0.0039088614 0.0038020269 0.0037979002 0.0039313287 0.0038992325 0.0038354986 0.0038653023 0.0039606737 0.004200937 0.0038790577 0.0039473767 0.0038657608 0.003949211 0.0037735987 0.0038831844 0.0037864372 0.0039313287 0.004161046 0.003920324 0.003900608 0.0038946474 0.00384742 0.004006984 0.0038680534 0.0040615476 0.0041206963 0.004023949 0.0040675085 0.004010652 0.0040248665 0.00401753 0.003913447 0.004075303 0.004214234 0.0041298666 0.003956547 0.0039675515 0.004342619 0.0041083167 0.004277968 0.005043692 0.0032871792 0.0 4.5891096e-07 0.0 4.5891096e-07 4.5891096e-07 0.0 0.0 4.5891096e-07 0.0 0.0 0.0 0.0 0.0 0.0 4.5891096e-07 0.0008918934 4.1301987e-06 5.5069313e-06 4.359654e-06 1.1472773e-06 8.489853e-06 2.2945546e-06 1.1472773e-06 2.9829212e-06 2.2945548e-07 3.900743e-06 2.2945548e-07 4.5891093e-06 2.2945548e-07 2.2945548e-07 8.489853e-06 0.0012796732 4.359654e-06 9.866585e-06 4.1301987e-06 3.4418322e-06 8.260397e-06 2.3175004e-05 1.3537873e-05 3.6712877e-06 2.0650994e-06 6.8836644e-06 1.1472773e-06 8.030942e-06 2.2945548e-07 4.5891096e-07 4.0843075e-05 0.0016541445 2.2486636e-05 1.973317e-05 8.260397e-06 1.5832427e-05 3.5795056e-05 2.5928468e-05 1.2849507e-05 6.4247533e-06 2.9829212e-06 4.818565e-06 4.818565e-06 7.11312e-06 2.5240101e-06 5.9658423e-06 5.0021292e-05 0.0008164026 1.1931685e-05 9.1782185e-06 9.1782185e-06 8.260397e-06 3.2123768e-05 9.1782185e-06 7.801486e-06 7.801486e-06 3.6712877e-06 4.1301987e-06 3.6712877e-06 5.0480203e-06 3.6712877e-06 4.1301987e-06 3.6712877e-06 0.0018459692 2.7993568e-05 5.4151493e-05 1.720916e-05 1.8815348e-05 3.740124e-05 7.824432e-05 3.6712874e-05 2.1568814e-05 1.0325496e-05 1.675025e-05 6.8836644e-06 8.443961e-05 4.359654e-06 1.1013863e-05 7.778541e-05 0.0006908904 1.0554952e-05 1.9503716e-05 6.654209e-06 7.11312e-06 6.195298e-06 4.359654e-06 6.654209e-06 7.3425754e-06 8.948764e-06 1.6520795e-05 9.1782185e-06 1.927426e-05 1.0784407e-05 1.9962627e-05 9.5912386e-05 0.00094535656 3.0288124e-05 2.133936e-05 1.6979706e-05 2.2027725e-05 4.2908174e-05 9.1552734e-05 6.539481e-05 1.9503716e-05 1.7668071e-05 2.7764112e-05 9.866585e-06 1.3078962e-05 1.3996784e-05 3.2123767e-06 6.883664e-05 0.00031550127 1.1243318e-05 2.0192081e-05 4.1301987e-06 8.489853e-06 6.654209e-06 4.818565e-06 4.359654e-06 3.4418322e-06 7.572031e-06 1.0554952e-05 5.277476e-06 1.0784407e-05 6.4247533e-06 4.1301987e-06 4.6350007e-05 0.001301701 4.359654e-05 7.342575e-05 3.5565597e-05 7.411412e-05 0.00010692625 0.00014386859 0.00010600843 8.558689e-05 3.510669e-05 3.0517578e-05 1.9962627e-05 4.0843075e-05 4.0843075e-05 3.0058667e-05 0.00018149929 0.0009549937 4.3825996e-05 6.998392e-05 3.510669e-05 1.1931685e-05 6.218244e-05 1.5602973e-05 6.332971e-05 4.4743818e-05 4.0843075e-05 6.768936e-05 3.35005e-05 0.0001344609 4.612055e-05 2.7075746e-05 0.0002283082 0.0004297701 2.1109903e-05 3.395941e-05 2.133936e-05 9.1782185e-06 3.854852e-05 1.0096041e-05 3.6712874e-05 2.2486636e-05 2.2257182e-05 4.107253e-05 2.2257182e-05 5.2545303e-05 3.189431e-05 1.3767329e-05 0.00013285472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010217652 0.00024069879 0.000332481 0.0001401973 0.0004098075 0.0003210082 7.090174e-05 0.000116792835 0.0006670271 8.627526e-05 3.441832e-05 6.241189e-05 0.00026318541 7.640867e-05 0.0001298718 0.00025607232 0.00034142975 0.00010394333 0.00018838294 8.3062885e-05 0.00013882056 0.00013377254 5.4380947e-05 8.627526e-05 0.0002746582 5.2774758e-05 2.6157924e-05 3.946634e-05 0.00012184086 4.6808917e-05 7.2737384e-05 0.000115186645 0.058828484 0.05981973 0.058941603 0.06147227 0.05955586 0.060517505 0.060555823 0.06219643 0.059750665 0.060243078 0.06129054 0.061743256 0.060459454 0.062324468 0.06238252 0.065012306 9842.0 5.7251573 56347.0 0.010382096 0.009494738 0.010080394 0.009743199 0.00992067 0.010240119 0.010169131 0.010630557 0.009193036 0.0097254515 0.009885176 0.010524074 0.009956164 0.010666052 0.011020995 0.011038742 0.010382096 0.009530232 0.009778692 0.010435338 0.010843523 0.009459243 0.01086127 0.010293361 0.009512485 0.010346603 0.010595063 0.0101513835 0.010843523 0.010169131 0.010577315 0.010932259 0.009991659 0.010346603 0.009139795 0.009583474 0.009193036 0.009885176 0.010222372 0.010914512 0.009441497 0.009867429 0.010204625 0.009867429 0.010559568 0.010754787 0.011038742 0.0101513835 0.009707704 0.010009406 0.011216214 0.010790282 0.009618968 0.009973912 0.010595063 0.010524074 0.010435338 0.010240119 0.011056489 0.010204625 0.010524074 0.010595063 0.010470833 0.011109731 0.009530232 0.010879017 0.010009406 0.010435338 0.011517916 0.013452358 0.009636715 0.011482421 0.010577315 0.013097414 0.011038742 0.010772535 0.011713135 0.010257866 0.011375939 0.011500169 0.010240119 0.00967221 0.01199709 0.011233961 0.012192308 0.010115889 0.0102756135 0.010630557 0.010346603 0.009743199 0.01048858 0.010044901 0.010346603 0.009743199 0.0107015455 0.009335013 6.581359 1.0 0.0 0.0 31.0 2180942.0 53248.0 0.0 0.0 37.0 0.0 1.0 0.0 0.0 0.0 1130439700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.599891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5856862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4289784 0.0 3.375808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12300.0 0.0 20224.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 21948.0 20224.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.017193835 0.0041004606 0.0038855893 0.003921401 0.0038621738 0.004081177 0.0037313227 0.0036734727 0.0038249847 0.0038057012 0.0040384787 0.0039296653 0.003779531 0.003873193 0.0037877953 0.0038966083 0.0037547383 0.0039448165 0.003844268 0.003739587 0.0037836633 0.0040288367 0.0038910988 0.0037960596 0.0038070786 0.0037809084 0.0038098334 0.0038814573 0.003982006 0.0038966083 0.003808456 0.0038828345 0.0036252644 0.0037519834 0.0037051525 0.0038112109 0.0040384787 0.003841513 0.003786418 0.003797437 0.0037877953 0.003804324 0.0039503262 0.003921401 0.003866306 0.0038566643 0.003899363 0.0037382096 0.0038222298 0.0038745704 0.0039696093 0.003935175 0.0037519834 0.0040494977 0.0038167203 0.0038842119 0.003837381 0.0037368322 0.0038236072 0.0038070786 0.003768512 0.003920024 0.003750606 0.0039503262 0.0037478514 0.0038360036 0.0038897214 0.0037919274 0.0042244247 0.0039255335 0.00390625 0.0040205726 0.0039117597 0.004101838 0.0039393073 0.003844268 0.00393242 0.003924156 0.0038029465 0.0039227786 0.0037657572 0.0038456453 0.004015063 0.0038552869 0.0039544585 0.0039227786 0.0039186464 0.003928288 0.0038676835 0.0038318716 0.003786418 0.0039186464 0.0038387585 0.00393793 0.0038484 0.0040426105 0.0038167203 0.004030214 0.00393793 0.0037588703 0.0037616252 0.0040825545 0.0039999117 0.0037519834 0.0039158915 0.0039792513 0.0038057012 0.0038222298 0.0039696093 0.0040715355 0.0038539097 0.0038057012 0.003913137 0.0037299453 0.0039503262 0.00393793 0.0040054214 0.0038456453 0.0038180978 0.0039475714 0.003902118 0.0037616252 0.0040109307 0.0038249847 0.0037781536 0.0038236072 0.0038787024 0.0037354548 0.0041583106 0.0037616252 0.0037850405 0.0038511548 0.0036514348 0.0038552869 0.0038180978 0.0037574929 0.0037285679 0.0038456453 0.0038139655 0.004159688 0.0039048726 0.003841513 0.0038180978 0.003779531 0.0038291167 0.0037946822 0.0038869667 0.0037285679 0.0042822747 0.0038718155 0.0037671346 0.0038966083 0.0038167203 0.0037478514 0.003797437 0.0038360036 0.0037630026 0.003772644 0.0037781536 0.0037836633 0.0037244358 0.003637661 0.0038566643 0.0038249847 0.003924156 0.003844268 0.003768512 0.0039544585 0.0038594191 0.0038484 0.0038745704 0.004055007 0.0037698895 0.003841513 0.0038869667 0.003895231 0.0038855893 0.003961345 0.003920024 0.0038484 0.0038277393 0.0038621738 0.0037616252 0.0039310427 0.0036803596 0.0038525322 0.0037657572 0.0038924762 0.0038470225 0.0040205726 0.0037547383 0.0038180978 0.0037533608 0.0038249847 0.0038029465 0.0038842119 0.0037588703 0.0038291167 0.0037409645 0.0037409645 0.0038098334 0.0038828345 0.003873193 0.003844268 0.0037519834 0.0039517037 0.0037023977 0.0038387585 0.0038263618 0.003899363 0.0037712667 0.0038842119 0.0037519834 0.0037602477 0.0037960596 0.003768512 0.0038800798 0.0039337976 0.0037602477 0.0038552869 0.0037988143 0.0037960596 0.0036982656 0.0038112109 0.0037561157 0.0037230584 0.0039310427 0.0038167203 0.0038112109 0.003837381 0.003797437 0.0040205726 0.0038635512 0.0038332487 0.0039158915 0.0039186464 0.003739587 0.0038167203 0.0037409645 0.0037877953 0.00393242 0.003808456 0.0038332487 0.0039296653 0.0037657572 0.0036789824 0.0038456453 0.0038525322 0.0037988143 0.0037574929 0.003926911 0.0037547383 0.0038621738 0.0036982656 0.0040453654 0.0040136855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003145552 0.0002689685 5.2414372e-05 0.0001241393 3.8621114e-05 4.965572e-05 2.6207186e-05 3.5862464e-05 0.00010620807 0.00013655324 3.0345162e-05 8.413886e-05 3.172449e-05 4.2759093e-05 3.8621114e-05 2.5517524e-05 0.0055559236 0.00033310713 8.413886e-05 0.00020138154 0.0006400071 0.00031793455 0.00018965726 0.00013034626 0.00026827882 0.0003296588 3.793145e-05 0.00018413996 3.724179e-05 4.6207406e-05 5.7931673e-05 6.0690323e-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 0.00074069784 6.896628e-06 2.8276174e-05 4.482808e-05 5.5173023e-05 2.8965836e-05 0.00020138154 0.00014413951 5.448336e-05 6.896628e-07 6.896628e-07 5.5173023e-05 8.275953e-06 2.0689884e-06 3.448314e-06 3.724179e-05 0.00058276503 1.3103593e-05 8.689751e-05 4.206943e-05 6.48283e-05 5.0345385e-05 0.00031931387 0.00017241569 2.6896849e-05 7.5862904e-06 4.1379767e-06 4.1379767e-06 1.0344942e-05 7.5862904e-06 6.896628e-06 1.3103593e-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 0.0011255296 0.000115863346 8.965616e-05 7.655257e-05 0.00014965683 0.00011655301 0.00025517523 0.00020069187 8.0690545e-05 8.758717e-05 7.03456e-05 8.0000886e-05 8.5518186e-05 9.862178e-05 8.89665e-05 0.00010344942 0.0022972666 0.00028827903 0.00029517568 0.00026414084 0.00047310867 0.00034552105 0.00032138286 0.0003089689 0.0008503542 0.0001406912 0.00012344964 0.00017586401 0.0003151759 0.000177933 0.0002634512 0.00042138397 0.0003689696 4.2759093e-05 5.2414372e-05 6.758695e-05 0.00023448534 0.00012207031 6.275931e-05 5.3793698e-05 5.0345385e-05 4.2759093e-05 6.000066e-05 5.172471e-05 4.0690105e-05 5.2414372e-05 5.6552348e-05 5.3104035e-05 0.06071377 0.06061929 0.06055446 0.060937226 0.061122052 0.061326884 0.061010327 0.06082205 0.06012411 0.060691014 0.061325505 0.06102481 0.060528945 0.060649633 0.060877223 0.060836535 3359.0 5.8585887 19679.0 0.009451699 0.009045175 0.010061487 0.009604147 0.009095991 0.010823721 0.009705777 0.011026983 0.009705777 0.010925352 0.010976167 0.008740282 0.011026983 0.010620458 0.010569643 0.008892728 0.0089943595 0.009400885 0.011789217 0.01199248 0.0089943595 0.008943544 0.008384572 0.010213934 0.009959856 0.008943544 0.009705777 0.010468012 0.009045175 0.009400885 0.008841912 0.009299253 0.009756593 0.009654962 0.00863865 0.01036638 0.010772905 0.011890848 0.010620458 0.010569643 0.010417196 0.009756593 0.010010671 0.01026475 0.011535139 0.009299253 0.010620458 0.009959856 0.00863865 0.010061487 0.008943544 0.009705777 0.01026475 0.011941664 0.010874536 0.009095991 0.009604147 0.009705777 0.009451699 0.010010671 0.010417196 0.010417196 0.0089943595 0.010417196 0.010061487 0.013974288 0.011077799 0.01036638 0.011230245 0.017023223 0.0113826925 0.011281061 0.01026475 0.012856345 0.009705777 0.011026983 0.013567762 0.011585955 0.012500635 0.0113826925 0.011026983 0.009604147 0.013008791 0.012297373 0.013567762 0.01209411 0.009095991 0.011585955 0.010874536 0.010213934 0.011026983 0.009045175 0.009045175 0.011890848 0.009858225 0.009146806 6.573085 0.0 0.0 0.0 14.0 726016.0 2330624.0 0.0 14.0 17.0 1.0 1.0 0.0 1.0 0.0 708992500.0 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 4.0 0.0 4.0 0.0 1631232.0 1024.0 4096.0 11.0 4.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -599040.0 0.0 0.0 1024.0 0.0 0.0 0.0 -4608.0 102912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9959664 0.0 0.0 0.0 0.18510813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.973777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999607 0.0 0.0 3.7194574 0.0 0.0 0.0 -7.858377 7.844927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -114688.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 4096.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -1634304.0 0.0 0.0 4096.0 0.0 0.0 0.0 -16384.0 487424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 614.0 1703936.0 984.0 2322972.0 486912.0 1830912.0 0.0 0.0 0.0 0.0 8.0 2322628.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2322604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2016763 0.018444752 0.0032798953 0.0030795608 0.0035780675 0.0014722258 0.001127464 0.0016352887 0.0036619285 0.001122805 0.0012113249 0.0009178116 0.0024552625 0.0011693945 0.0008758811 0.0028419548 0.0058702673 0.002832637 0.0016306298 0.0010109905 0.003461594 0.0046076938 0.00052646047 0.0005497552 0.0008432685 0.0006289572 0.00048452997 0.0009783779 0.0010901925 0.0005218015 0.0004985068 0.0005777088 0.009974795 0.0005777088 0.0023108353 0.00048918894 0.0009550831 0.0006196393 0.0005777088 0.00048452997 0.0010389441 0.00039135115 0.00061498035 0.000964401 0.00085724535 0.00042862268 0.0012625733 0.00048452997 0.0026183254 0.0004752121 0.0005870267 0.0043840646 0.00077804335 0.0010668978 0.00044725844 0.0031867165 0.00053577835 0.0016679013 0.00044725844 0.0012998448 0.0017750569 0.0011880302 0.0003447617 0.0010296262 0.002254928 0.00083395065 0.0009783779 0.0015188152 0.15841335 0.003293872 0.0047800746 0.0010668978 0.0014256364 0.0016585834 0.00043328162 0.00038203326 0.0029304747 0.0016679013 0.00082463276 0.000642934 0.006774102 0.0013790468 0.0010249673 0.0029304747 0.0013324574 0.0020452756 0.0023154942 0.0031913754 0.0005777088 0.0012718912 0.00039135115 0.00067088765 0.0008386096 0.0011088282 0.0070582973 0.0009783779 0.00073145394 0.003615339 0.0009224705 0.0033125079 0.0069651185 0.008670291 0.020280374 0.006275595 0.0057025454 0.0041697533 0.002571736 0.0007500897 0.023690721 0.0014908615 0.0062523005 0.005954128 0.0019893683 0.0004099869 0.004915184 0.0029630873 0.009234023 0.0062290058 0.006135827 0.0034336403 0.001285868 0.0013790468 0.00064759294 0.00042396373 0.0009783779 0.0010529209 0.0004658942 0.0008525864 0.0035268192 0.0008199738 0.0005078247 0.0021431134 0.0013324574 0.0054183495 0.00077804335 0.0004658942 0.00095974206 0.0035920443 0.0002888544 0.007803728 0.00086656323 0.0046356474 0.00058236776 0.00037737432 0.0004658942 0.00034010276 0.00032612594 0.0019986862 0.0004938479 0.0003960101 0.00034010276 0.000321467 0.0007966791 0.0030376303 0.0006010035 0.00026090076 0.00050316576 0.0005963446 0.00027953653 0.0002329471 0.0007174771 0.0020732293 0.0038995345 0.00051248365 0.00052646047 0.0004193048 0.00026090076 0.00032612594 0.00075474865 0.00034942065 0.0003960101 0.00078736123 0.00051248365 0.00035407962 0.00030283123 0.00022362922 0.00068486447 0.00034010276 0.0002655597 0.00031214912 0.00056839094 0.0012998448 0.0003866922 0.00054509623 0.00096905994 0.00045191738 0.00038203326 0.00069418235 0.0005730499 0.0008525864 0.0006010035 0.0008386096 0.004253614 0.0005544141 0.0009830368 0.0011460998 0.0029351336 0.00022362922 0.022004183 0.0018402821 0.00086656323 0.00094576523 0.0004658942 0.00043328162 0.12224598 0.0002981723 0.00064759294 0.00034942065 0.00093644735 0.0005497552 0.00033544382 0.0007361129 0.00084792747 0.00030283123 0.0013138216 0.0011321229 0.0014349542 0.00036805644 0.0006103214 0.0007827023 0.0005963446 0.0010948514 0.00040532797 0.00033544382 0.0012392786 0.000321467 0.0003447617 0.00033078488 0.0010296262 0.0002655597 0.00045191738 0.00064759294 0.0034243225 0.000964401 0.00034942065 0.0017377854 0.0027115042 0.00035873856 0.0006010035 0.00073145394 0.0018635768 0.0005777088 0.00035873856 0.0009876958 0.0013324574 0.00037737432 0.00096905994 0.0015141562 0.0021617492 0.0008432685 0.0006569108 0.0011926892 0.0025810539 0.0028372959 0.0016818781 0.046035007 0.014261099 0.0 0.0 2.347506e-06 4.695012e-06 4.695012e-06 7.277269e-05 7.042518e-06 9.390024e-06 2.347506e-06 1.8780049e-05 1.173753e-05 1.8780049e-05 7.042518e-06 0.0 2.347506e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008805495 4.4602613e-05 5.6340145e-05 3.7560098e-05 4.9297625e-05 6.1035156e-05 6.573017e-05 3.7560098e-05 0.00018780048 2.8170072e-05 3.7560098e-05 4.225511e-05 3.2865086e-05 6.1035156e-05 3.0517578e-05 3.7560098e-05 0.0042231632 2.8170072e-05 3.521259e-05 2.5822566e-05 4.4602613e-05 4.225511e-05 4.4602613e-05 2.8170072e-05 0.00018075797 1.6432543e-05 1.6432543e-05 1.8780049e-05 2.347506e-05 3.7560098e-05 1.4085036e-05 2.8170072e-05 0.0039414624 4.695012e-06 1.4085036e-05 2.5822566e-05 0.00012207031 8.920523e-05 0.0003075233 0.00013380784 2.1127555e-05 9.390024e-06 3.7560098e-05 2.8170072e-05 2.8170072e-05 1.4085036e-05 9.390024e-06 2.1127555e-05 0.0023897612 0.0 0.0 0.0 0.055370625 0.0 0.006746732 0.0 0.0 0.0 0.0 0.0 0.03645442 0.0 0.0 0.0 0.008096548 5.6340145e-05 0.00024414062 0.00014789288 0.0753479 4.9297625e-05 0.02948937 0.0018498347 0.00025118314 2.8170072e-05 4.695012e-05 2.8170072e-05 0.071732745 3.2865086e-05 2.8170072e-05 7.042518e-05 0.034860466 0.00011268029 0.004258376 0.00021597055 0.03153405 0.00036386342 0.023207445 0.010751577 0.00047419622 7.042518e-06 9.624775e-05 3.7560098e-05 0.027724046 9.390024e-06 7.98152e-05 0.00088266225 0.041248027 0.0010962853 0.004025973 0.0004601112 0.0022629958 0.001767672 0.013622577 0.0077538122 0.00058687653 5.6340145e-05 2.8170072e-05 6.573017e-05 0.00015258789 7.277269e-05 0.00010094276 0.0036222017 0.014965351 0.00039907603 0.0012864333 0.0006361741 0.0038264347 0.001563439 0.00801908 0.0042513334 0.0003145658 0.0001150278 0.0002347506 0.00014554537 0.00096951996 0.00014554537 0.00019014798 0.0013991136 0.0062279333 0.0010915903 0.00041785606 0.0016573393 0.0018944374 0.0019249549 0.0013122559 0.0008873573 0.00022770808 0.00036855845 0.00014319786 0.00020892803 0.0012676532 0.0005258414 0.00018075797 0.00089439977 0.009728065 0.0005610539 0.00046245867 0.0011432355 0.0010563777 0.0010728103 0.0024390589 0.0012864333 0.00046245867 0.0006690392 0.00020892803 0.00022066556 0.001767672 0.00044133113 0.0003568209 0.002162053 0.024932861 0.003446139 0.002129188 0.0053100586 0.0028850848 0.006615272 0.004486084 0.0028709997 0.0031879132 0.0028545673 0.00087092473 0.0014272836 0.0039954553 0.0023357684 0.0017301119 0.007845365 0.057840202 0.01487145 0.006695087 0.009256216 0.007446289 0.016193096 0.008774977 0.009305513 0.021946834 0.0056387093 0.008946345 0.005943885 0.012775128 0.0061974158 0.009627122 0.038926344 0.014317439 0.0045447717 0.0020634579 0.002866305 0.0024296688 0.004248986 0.0023357684 0.003108098 0.006500244 0.001206618 0.0017934946 0.0016315167 0.0044320915 0.0019930326 0.0032653809 0.0105708195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1755.0 29.727066 52171.0 0.003277683 0.00023001284 0.001456748 0.000364187 0.00038335472 0.00011500642 0.00011500642 0.0001533419 0.00019167736 0.00011500642 0.00055586436 0.0002491806 0.00038335472 0.0003066838 0.0010542255 0.00028751604 0.00053669664 0.00044085796 0.00080504495 0.00090088364 0.00026834832 0.00017250964 0.00032585152 0.007897108 0.00026834832 0.00028751604 0.00028751604 3.8335475e-05 0.004178567 0.00059419987 0.0002491806 0.0002108451 0.0004216902 0.0009967224 0.0016867608 0.001820935 0.6423492 0.00092005136 0.015794216 0.002836825 0.001169232 0.0009775546 0.00040252248 0.00034501927 0.008778824 0.0008625482 0.00047919343 0.00040252248 0.001456748 0.0006325353 0.000728374 0.0019359414 0.001169232 0.0004983612 0.0009392191 0.0027026508 0.00017250964 0.00026834832 0.0001533419 0.0002108451 0.00026834832 0.00013417416 0.02252209 0.0002491806 0.00017250964 0.0034501927 0.00095838687 0.0022809608 0.0203178 0.008836327 0.06888884 0.016081732 0.0016292577 0.0032968507 0.0005750321 0.00046002568 0.08556478 0.0012459029 0.0035460314 0.004082728 0.0011883997 0.00011500642 0.0039677215 0.0032968507 0.007092063 0.0012842384 0.016196737 0.0010733933 0.001456748 0.0012267352 0.0001533419 0.00011500642 0.0001533419 0.0002108451 7.667095e-05 1.9167737e-05 2.471573 0.0 0.0 0.0 1.0 214641.0 229376.0 1.0 0.0 197.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 61952.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 146432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44377568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.253048 0.0 4.522516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61754.0 0.0 146152.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 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 0.0 0.0 -1.0 2.0 0.0 -1.0 -1.0 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 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 -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 0.0 0.0 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 -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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 61412.0 146152.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 11176.0 204.0 600.0 824.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0567326 0.008303671 0.006172558 0.00566362 0.005754835 0.0049618864 0.0041989977 0.0054200348 0.0050479188 0.0056221588 0.003754325 0.004478862 0.004954631 0.003173866 0.0043202722 0.004640561 0.0050334074 0.0037677998 0.004927681 0.004162719 0.004349295 0.003173866 0.0041046734 0.003847613 0.005072796 0.003354223 0.0031603912 0.0029282076 0.004154427 0.0034371456 0.0037885306 0.0037937132 0.0061735944 0.003814444 0.0034837897 0.0030287514 0.004903841 0.004167902 0.0038413939 0.0037221925 0.0047265934 0.0038890743 0.0033303828 0.00309198 0.0043710624 0.0037263385 0.0037284116 0.003583297 0.005519542 0.003945047 0.0031064914 0.0029022943 0.0036745118 0.00306503 0.0026846223 0.002864979 0.004164792 0.003309652 0.0035200682 0.0033573324 0.004009312 0.0032288025 0.0035065934 0.0034547667 0.0066006463 0.00394712 0.0036206122 0.003216364 0.0041554635 0.0032246562 0.0035501278 0.00306503 0.0049992017 0.003781275 0.0037024983 0.003589516 0.004123331 0.003125149 0.00355842 0.003465132 0.0051681567 0.0036361602 0.0036579273 0.0033417845 0.0039284625 0.0033749535 0.0033594056 0.0035345799 0.0046488536 0.0036413427 0.0038051151 0.0035024472 0.004111929 0.003385319 0.0036848772 0.0037833478 0.0059113516 0.0036330505 0.0033417845 0.0029530844 0.004006203 0.0030484456 0.003267154 0.003033934 0.004978471 0.0031624641 0.003202889 0.0030484456 0.0035791507 0.0028307734 0.0030795415 0.0031966697 0.0045068483 0.0032878849 0.0032267293 0.0031469162 0.0038901109 0.003336602 0.003294104 0.0036299408 0.00462294 0.0032930674 0.0034827532 0.0031728295 0.004036262 0.003187341 0.0034713512 0.0033417845 0.008645727 0.004597027 0.0040082755 0.0035262876 0.0043710624 0.0034392187 0.0030225322 0.003387392 0.004538981 0.0038393207 0.0029603401 0.0031883775 0.0037304848 0.0028017506 0.002847358 0.002981071 0.0052272393 0.003200816 0.0035014108 0.003029788 0.0036589638 0.0031811218 0.0033075789 0.003265081 0.004541054 0.0028369927 0.0030401533 0.0027126085 0.0035211048 0.0032288025 0.0029883266 0.0031510624 0.0050126766 0.0034081228 0.003267154 0.0027944949 0.0037709095 0.0030090571 0.0030577744 0.0031821583 0.0041357693 0.0030007649 0.0031199662 0.0030111303 0.0036444524 0.0028369927 0.0029157691 0.003036007 0.0046664746 0.0031147837 0.0038455399 0.002860833 0.0035636027 0.0031541719 0.002985217 0.0031168568 0.004249788 0.0031458796 0.003336602 0.0031780123 0.0036527447 0.0031977063 0.0033303828 0.0033469673 0.006718811 0.004067358 0.003721156 0.0033345288 0.0041129654 0.0032526427 0.003305506 0.0032267293 0.0043327105 0.0033303828 0.003111674 0.0030795415 0.0036475619 0.0029831438 0.0030847243 0.0027903486 0.0042425324 0.0032847752 0.0030857606 0.0029966189 0.003711827 0.0030235688 0.0029344268 0.0029468653 0.0039771795 0.0031106374 0.0027198642 0.0026379782 0.003527324 0.0029437556 0.0035760412 0.0028877829 0.004959814 0.0032298388 0.0034008669 0.0029665593 0.0038134074 0.0030733224 0.003200816 0.0029126597 0.0044467296 0.005456313 0.0034640955 0.0031355144 0.0037895672 0.0030816146 0.0032484964 0.0031945969 0.0046105017 0.0033179442 0.0034195245 0.0030453359 0.0037315213 0.0030878338 0.0033169077 0.0032422773 0.004348259 0.0030328976 0.0031904506 0.0028639424 0.0040082755 0.0030909434 0.004222838 0.0045192866 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922695 0.062013276 0.062465753 0.055320036 0.060593057 0.059559934 0.054938126 0.0544815 0.06047786 0.0531552 0.052112218 0.052949715 0.056414906 0.050538406 0.056674354 0.05381835 4021.0 5.704054 22936.0 0.017221835 0.0104639 0.00937391 0.008676317 0.013385071 0.012469481 0.011859086 0.01146669 0.012600279 0.009722707 0.008458319 0.008632717 0.013908266 0.010551099 0.0118154865 0.009984304 0.016742239 0.011946285 0.008719916 0.0075427275 0.009809906 0.008501918 0.007847925 0.00832752 0.0103767 0.008414719 0.009591908 0.008850715 0.011553889 0.009025114 0.009635507 0.009155912 0.018050227 0.010943495 0.0103767 0.009112312 0.010856296 0.008807115 0.010681897 0.008283921 0.014213463 0.011597489 0.009722707 0.008937914 0.0114230905 0.009330311 0.011684688 0.009548308 0.014780258 0.009591908 0.009984304 0.009112312 0.012077084 0.00937391 0.009548308 0.009766306 0.013690269 0.009243111 0.010507499 0.009504708 0.011117893 0.009809906 0.0104203 0.010681897 0.017963028 0.010987095 0.009679107 0.008196721 0.013079874 0.008240321 0.00937391 0.008371119 0.015434252 0.009286711 0.008894315 0.008719916 0.011379491 0.008022323 0.009897105 0.007891525 0.013254273 0.007978723 0.008676317 0.008807115 0.011510289 0.009548308 0.008283921 0.007891525 0.010899896 0.008850715 0.011989885 0.008501918 0.011335891 0.008937914 0.009984304 0.008719916 6.554488 0.0 0.0 0.0 14.0 964754.0 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