Input: 0.19305874 0.0061045242 0.0042018415 0.002991227 0.0058694636 0.0030628552 0.00274406 0.002978112 0.0074109794 0.0025977774 0.0025180785 0.0023415305 0.005143095 0.0028661303 0.0023092474 0.0059128436 0.005238935 0.0026865557 0.002398026 0.0023687694 0.0034855613 0.0028146792 0.002311265 0.00220231 0.0028388915 0.0025180785 0.0022356017 0.0023324508 0.0026825203 0.0021437968 0.002259814 0.0023808754 0.0036217556 0.0022113894 0.0024091231 0.0023082385 0.0038769934 0.002285035 0.0021932302 0.0023929817 0.0026340957 0.0021811242 0.0021458145 0.002651246 0.002378858 0.0031475981 0.0023849108 0.002286044 0.002854024 0.0022335842 0.002363725 0.0038134363 0.0023354774 0.0022103805 0.002155903 0.002141779 0.002476716 0.0023808754 0.0022335842 0.0031950139 0.0025463263 0.002658308 0.0022527522 0.003513809 0.004175612 0.0032827836 0.0037266754 0.0026472108 0.005917888 0.014284244 0.0028076172 0.0025422908 0.003084041 0.0023496014 0.0025685208 0.002187177 0.0024857954 0.009260193 0.0023223625 0.0023617074 0.005612208 0.004122143 0.0031667661 0.0026219897 0.0028439357 0.0074452804 0.0032101467 0.0029831564 0.0025705385 0.0032969073 0.0021639736 0.0023889462 0.0023485925 0.003559207 0.0028499886 0.0029306964 0.002417194 0.0031465893 0.0023919728 0.0027067326 0.0037609763 0.0036288174 0.003415951 0.0024474594 0.00331204 0.0029559175 0.0038386574 0.0024091231 0.0035228888 0.0024837777 0.0030648727 0.0032101467 0.0027793695 0.0021851594 0.0038981792 0.003337261 0.005735287 0.005087608 0.0024050877 0.0024222382 0.0025826446 0.0024807511 0.0022820088 0.0020469476 0.002383902 0.002625016 0.002404079 0.0024636008 0.00357434 0.002749104 0.0021629648 0.0072384668 0.002763228 0.005305519 0.0020994076 0.0021115139 0.0028338472 0.010235747 0.0026472108 0.022684902 0.0023082385 0.0068883975 0.0020822573 0.0021286642 0.0025160608 0.0020661156 0.0020822573 0.002312274 0.0023324508 0.0028943778 0.0021276553 0.0020600627 0.0023435482 0.002161956 0.0021216022 0.0021407702 0.0023294245 0.0021367348 0.0021730533 0.0022305576 0.00245553 0.0029296875 0.0022386282 0.0026139189 0.0023556545 0.0021982745 0.0021094962 0.0020187 0.0024777248 0.0021397613 0.002160947 0.002155903 0.0023546456 0.0022033188 0.0022305576 0.0020600627 0.002672432 0.0022043276 0.002110505 0.0020519919 0.0022890705 0.002116558 0.003279757 0.0022830174 0.0029629795 0.002213407 0.0021962568 0.0020822573 0.0025453174 0.002363725 0.0023243802 0.0023859197 0.004716353 0.0032303235 0.0031233858 0.0036106582 0.0036671537 0.0025685208 0.003332217 0.0047072736 0.0032525181 0.0028136703 0.0022941148 0.002161956 0.011426184 0.0023132828 0.0022840262 0.0022053365 0.0028631038 0.0023031945 0.0025513703 0.0022103805 0.0027733163 0.0021246288 0.0022164336 0.0021730533 0.002979121 0.0023677605 0.0022123982 0.002345566 0.0028489798 0.0023990348 0.0021256376 0.0021801153 0.0032666419 0.002266876 0.0022184514 0.002188186 0.003136501 0.003016448 0.0022386282 0.0022063453 0.00890508 0.0033362522 0.0022305576 0.004004108 0.0056596235 0.0021054607 0.0022577965 0.0023485925 0.0042290804 0.002311265 0.0022002922 0.002344557 0.0038699314 0.0021326996 0.0026754583 0.0026119011 0.0040152054 0.0025443085 0.0024020614 0.002183142 0.005382191 0.0023748225 0.004742583 0.02215324 0.11995863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008957714 9.593944e-06 7.5741664e-06 8.079111e-06 1.0603832e-05 1.262361e-05 8.584055e-06 9.593944e-06 5.049444e-06 1.6158221e-05 8.079111e-06 8.584055e-06 1.0098888e-05 5.5543887e-06 7.0692217e-06 1.11087775e-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 0.005884622 0.00012825588 0.00028175898 9.139494e-05 0.00057563663 7.5741664e-05 0.00017269098 0.00011664216 2.7771943e-05 0.00010755316 3.9385664e-05 3.080161e-05 5.4029053e-05 2.171261e-05 7.0692215e-05 0.0005943196 0.011150688 0.00033679794 0.00075438694 0.00021914588 0.0011512733 0.00028680844 0.002061183 0.0010846206 6.412794e-05 0.0001807701 5.604883e-05 6.210816e-05 9.5434494e-05 7.2712e-05 9.290977e-05 0.000945256 0.0053281733 0.00023126454 0.0004978752 0.00013835476 0.0006988431 0.00012068172 0.00071247655 0.0006225965 6.210816e-05 0.00015047344 3.1811498e-05 7.372189e-05 6.210816e-05 5.3019165e-05 7.321694e-05 0.0004504104 0.0075514438 0.00020096787 0.0007619611 0.00045545987 0.0018874822 0.000681675 0.0039188736 0.0020965291 0.000111592715 0.000115127325 0.00012068172 0.00027367988 0.00015754266 5.9583443e-05 0.00011967183 0.00010199877 0.008647678 0.0004887862 0.00082002976 0.00044839064 0.001962214 0.0005741218 0.0021838846 0.001416874 0.0002716601 0.00028074908 0.0002216706 0.00023681893 0.00030448148 0.00019187888 0.00020551238 0.00035952043 0.00043223242 0.00013128555 6.5642776e-06 0.00013229543 3.7870832e-05 1.262361e-05 1.1613722e-05 1.11087775e-05 4.241533e-05 1.716811e-05 9.593944e-06 6.5642776e-06 3.8375776e-05 6.059333e-06 6.5642776e-06 0.0001317905 0.009551529 0.0011664216 0.00059835915 0.00087254395 0.0048621097 0.0029034305 0.0011845996 0.0011315804 0.007996805 0.00056149816 0.00055998337 0.0005822009 0.0036083327 0.0007685254 0.0027403333 0.005379173 0.037806705 0.0056170016 0.003506334 0.0044854213 0.01875919 0.013138149 0.0046919435 0.0054124994 0.031701926 0.0021818648 0.00249796 0.0035290564 0.017085804 0.0035618779 0.011990915 0.02121019 0.011933351 0.0025120985 0.0016976232 0.002506544 0.0044202833 0.0043637296 0.0021394496 0.0033296035 0.00781149 0.00067157607 0.0010846206 0.0012517573 0.0046475083 0.0017880081 0.003798697 0.0070571033 0.032334115 0.032101337 0.03220081 0.03204731 0.031693846 0.03199732 0.03166052 0.031918548 0.031785242 0.031780697 0.03211093 0.03206094 0.031685766 0.032183643 0.032331087 0.032000348 3066.0 8.7155905 26722.0 0.024511639 0.0059501533 0.005463663 0.0054262406 0.012761021 0.005613352 0.0053139734 0.007185091 0.006436644 0.0068482896 0.005613352 0.0053139734 0.005912731 0.0056507746 0.011862884 0.0064740665 0.0063992217 0.0053139734 0.0076715816 0.005763042 0.005613352 0.006249532 0.005800464 0.00493975 0.0059501533 0.005688197 0.0062121097 0.006249532 0.007372203 0.0062869545 0.0068482896 0.012873288 0.030873438 0.01115186 0.005763042 0.00924332 0.0079335375 0.0076715816 0.007409625 0.0081206495 0.0064740665 0.0067734453 0.0056507746 0.005463663 0.006736023 0.0061746873 0.005351396 0.0059501533 0.012873288 0.006661178 0.0073347804 0.00924332 0.0083077615 0.0069979792 0.012573909 0.0103285685 0.00860714 0.0059501533 0.0059875757 0.0062869545 0.0054262406 0.0061372654 0.006249532 0.015230896 0.007596737 0.028964898 0.0138088465 0.020582292 0.019497044 0.041463964 0.0098795 0.011039593 0.008869097 0.02630791 0.0076715816 0.0070354016 0.023875458 0.011526084 0.025746576 0.037235238 0.014370182 0.006024998 0.028553251 0.027842227 0.039555423 0.014033381 0.007821271 0.0055010854 0.009318165 0.010029189 0.0059501533 0.005763042 0.0050145946 0.005613352 0.005351396 0.0056507746 6.267213 0.0 0.0 0.0 11.0 991232.0 1003520.0 1.0 0.0 75.0 0.0 1.0 0.0 1.0 0.0 1542371800.0 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 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 273920.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 79360.0 0.0 0.0 0.0 0.0 0.0 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 -273920.0 0.0 628736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9814816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3396363 0.0 7.1209393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273914.0 0.0 628440.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.0073252143 0.00406088 0.0039511425 0.003986922 0.004154626 0.0037752427 0.0040260996 0.0038603942 0.004210194 0.0038226158 0.0038390064 0.0038196174 0.0040546833 0.0039947173 0.0038771846 0.0039027699 0.0042137923 0.0039409483 0.0038699887 0.0038202172 0.0039049687 0.0038386066 0.0038198174 0.003830811 0.0041488293 0.0038322103 0.003983724 0.0039193607 0.0037884354 0.00381522 0.0037618505 0.0038380069 0.004278955 0.003935951 0.0039399485 0.0038504 0.0039665336 0.0038132211 0.003872587 0.0037950315 0.0038897775 0.0037836381 0.0038146204 0.0037910338 0.0038318106 0.0037686466 0.003801028 0.0038509995 0.0040017134 0.004045688 0.003820617 0.003985523 0.0039541405 0.0038523988 0.0039397487 0.0038931754 0.003806425 0.0038332096 0.003787036 0.0038619933 0.0038366078 0.0038899772 0.0037884354 0.0038633924 0.0042377785 0.0039929184 0.0038749857 0.0039327526 0.0040005143 0.0039331526 0.0038917763 0.0038156197 0.003930954 0.00388518 0.0037948317 0.0037812395 0.0039137634 0.0038901772 0.0037798402 0.0037564535 0.003890377 0.0038771846 0.0038254142 0.0038492007 0.0038561965 0.0039951173 0.003892176 0.0038661908 0.003876385 0.0038533981 0.0038953742 0.0038416048 0.003787236 0.0038703885 0.0039123646 0.003839606 0.0039513423 0.0039321533 0.0038482011 0.003993518 0.0038496004 0.0039351513 0.0039283554 0.0038927756 0.0039543407 0.0038843805 0.003837607 0.0039039692 0.0039327526 0.0039633354 0.003940748 0.0039615366 0.0038280126 0.0038705883 0.0038202172 0.003922159 0.003900771 0.003959138 0.0038438037 0.004012707 0.003873187 0.0038665906 0.0039223586 0.0040065106 0.0038358083 0.003909366 0.0038380069 0.0039003713 0.003979926 0.0038841807 0.0039107655 0.004064078 0.00397233 0.003914763 0.0039841235 0.003845003 0.003988721 0.003940748 0.0038937752 0.0042049973 0.0039633354 0.0039843232 0.0038212165 0.0038262138 0.0039051685 0.0038655913 0.0038290122 0.00376265 0.0038036266 0.0037444604 0.0037600514 0.0038212165 0.0038859795 0.0038977729 0.003817019 0.0039281556 0.0038192177 0.0038330099 0.0038066248 0.0038585952 0.003834409 0.0038917763 0.003844803 0.003819018 0.0038480014 0.0037528556 0.0038687894 0.0038140207 0.0038639922 0.0037842377 0.00391976 0.0038583954 0.0038509995 0.0038563965 0.0038364078 0.0038551972 0.0038635924 0.0038755855 0.003794432 0.0038368076 0.0038729869 0.0038523988 0.003923758 0.0039001715 0.0038374073 0.003839806 0.003841405 0.00400731 0.0038452027 0.004104255 0.003911165 0.0038737864 0.0039295545 0.0039489437 0.0038777841 0.0040037124 0.0039347517 0.0038791834 0.004000314 0.0038114223 0.003801028 0.0037894347 0.0038004285 0.0038330099 0.0039397487 0.003890577 0.003947744 0.0038863793 0.003855597 0.0038416048 0.0038072246 0.0038733867 0.003802827 0.0038587952 0.0038875786 0.0038595947 0.0038701885 0.003767647 0.0038679899 0.004037493 0.003802627 0.0039683324 0.0040528844 0.0038989722 0.0038490007 0.0038364078 0.0038186181 0.00381522 0.0037518563 0.0037874358 0.0038803827 0.0039021703 0.004002913 0.0038202172 0.0038651915 0.0039731297 0.00390257 0.003923758 0.004004512 0.0040576817 0.0038430041 0.0038953742 0.0037648487 0.003895574 0.0038392062 0.0038943747 0.0038729869 0.0040508853 0.003908367 0.0038462023 0.0038585952 0.003890377 0.003883781 0.00393735 0.003912964 0.0045006284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014956362 1.7995624e-06 1.3996596e-06 3.0992462e-06 5.4986626e-06 5.79859e-06 1.5096329e-05 8.597909e-06 5.4986626e-06 1.9995137e-07 4.998784e-07 6.998298e-07 7.998055e-07 2.899295e-06 5.998541e-07 2.6993434e-06 0.00020285067 1.9995136e-06 1.1697155e-05 1.9995136e-06 2.2294578e-05 8.697884e-06 0.000104374616 5.5086603e-05 0.0 0.0 0.0 9.9975686e-08 0.0 2.9992705e-07 9.9975686e-08 0.0 0.00021944664 3.3991732e-06 3.6291174e-05 4.099003e-06 8.797861e-06 5.398687e-06 7.7581135e-05 4.099003e-05 4.998784e-07 9.9975686e-08 4.998784e-07 1.9995137e-07 2.899295e-06 1.9995137e-07 3.5991247e-06 5.4986626e-06 0.00030442595 4.698857e-06 5.588641e-05 2.7593289e-05 1.9595234e-05 1.2696913e-05 7.6581375e-05 3.8890543e-05 1.06973985e-05 1.2996839e-05 3.0992462e-06 1.3996596e-06 2.3794213e-05 4.698857e-06 2.3994164e-06 1.4796402e-05 0.0002668351 7.2982252e-06 1.689589e-05 1.02974955e-05 3.5791294e-05 1.80956e-05 9.5776704e-05 4.7588426e-05 1.3296766e-05 4.798833e-06 2.3994164e-06 6.398444e-06 2.829312e-05 2.6993434e-06 2.3294335e-05 3.449161e-05 0.00035341404 6.4984197e-06 2.2894432e-05 3.7890786e-05 3.639115e-05 8.397958e-06 4.4789107e-05 3.2792024e-05 3.9290444e-05 3.7590857e-05 5.5986384e-06 1.1897107e-05 5.4986627e-05 8.597909e-06 3.2392123e-05 8.557919e-05 8.517929e-05 3.8990515e-06 1.1697155e-05 6.298468e-06 1.7795672e-05 7.398201e-06 8.198006e-06 4.5988813e-06 9.697642e-06 4.698857e-06 5.8985656e-06 5.4986626e-06 4.5988813e-06 4.099003e-06 8.198006e-06 1.6995866e-05 0.00024244103 2.0095113e-05 3.689103e-05 2.459402e-05 9.397714e-05 6.24848e-05 2.6093654e-05 4.308952e-05 0.00012756897 1.529628e-05 1.5796159e-05 2.9992705e-05 7.418196e-05 3.4391636e-05 4.978789e-05 0.0001270691 0.0012443974 0.0002887298 0.00033441867 0.00041559892 0.00054456753 0.0006931314 0.0005433679 0.00077901053 0.0008225 0.0002565376 0.0003511146 0.0007130266 0.0005524656 0.0007480181 0.0007964063 0.0009494691 0.063516356 0.061993822 0.061461154 0.06163531 0.06163001 0.061111636 0.06171959 0.0612635 0.062155582 0.061010063 0.061119735 0.061415464 0.061538234 0.061251804 0.061280396 0.06156483 23235.0 5.7216268 132942.0 0.012749921 0.010658784 0.010876924 0.010297724 0.010515864 0.009635781 0.010117194 0.010335335 0.009951708 0.010011885 0.010011885 0.009853921 0.010267636 0.009763656 0.010989755 0.010312768 0.010508342 0.011222939 0.010117194 0.010493298 0.0104556875 0.010410555 0.010004363 0.009906576 0.009575604 0.009387553 0.009440207 0.009665869 0.010418077 0.009778701 0.009996841 0.009929142 0.010252591 0.010839313 0.01032029 0.011110108 0.010749049 0.010756571 0.010560997 0.009914098 0.010094628 0.010515864 0.009763656 0.00974109 0.010312768 0.010335335 0.009733568 0.009395074 0.0103579005 0.010651262 0.010403033 0.010914534 0.010508342 0.010779137 0.0110649755 0.010335335 0.009936664 0.01089949 0.011102586 0.010169849 0.009711002 0.009861443 0.0100645395 0.010057017 0.01010215 0.01126055 0.010327812 0.011711874 0.0106738275 0.01303576 0.010072062 0.0103804665 0.010839313 0.011072498 0.010026929 0.010703916 0.011749485 0.010628696 0.011095064 0.011350814 0.010290202 0.010057017 0.010839313 0.011952581 0.011125152 0.01089949 0.010327812 0.010568518 0.010613651 0.010387989 0.010312768 0.010267636 0.0096733915 0.00959817 0.009620737 0.00956056 6.5822797 1.0 0.0 0.0 82.0 5002857.0 77824.0 0.0 0.0 8.0 0.0 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 1.0 -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 -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 2.0 25.0 1.0 0.0 4.0 0.0 36864.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.049104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0869255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.592852 0.0 0.0 0.0 0.0 0.0 0.0 -4.6400495 4.4869385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3636.0 0.0 0.0 0.0 0.0 0.0 -584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36860.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 49152.0 10240.0 65536.0 0.0 0.0 6192.0 915302140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17597592 0.018999169 0.013254429 0.0123546515 0.014223422 0.008132613 0.021110188 0.00861711 0.009932171 0.00574474 0.012562293 0.0050179954 0.005433278 0.0047411406 0.0037375416 0.0022494462 0.004049003 0.012181616 0.0041528237 0.00927464 0.003356866 0.002595515 0.00574474 0.0054678847 0.0034260796 0.003114618 0.0022840532 0.0030107973 0.003080011 0.005156423 0.0022840532 0.00287237 0.010209026 0.0010382059 0.0023532668 0.0041874307 0.0034260796 0.0016265227 0.0063330564 0.0012458472 0.007198228 0.0011420266 0.004464286 0.008928572 0.0022494462 0.006263843 0.005710133 0.0024916944 0.013842747 0.0058139535 0.004983389 0.0045681065 0.003356866 0.0032530455 0.0040143966 0.0042912513 0.004429679 0.0037375416 0.0015919158 0.000761351 0.0012458472 0.007994186 0.0011074197 0.0010728128 0.0007959579 0.008098006 0.0036683278 0.0069213733 0.0070944075 0.004602713 0.0034606867 0.0047065336 0.0041874307 0.0056063123 0.0032530455 0.003114618 0.0034260796 0.0039451825 0.0055024917 0.0035299002 0.005121816 0.003080011 0.0032876523 0.006229236 0.0043258583 0.005952381 0.003045404 0.003322259 0.007198228 0.005364064 0.003149225 0.0007267442 0.00069213734 0.00083056476 0.00096899224 0.00408361 0.001557309 0.013635105 0.0065406975 0.008686324 0.0057793465 0.019898947 0.009066999 0.006990587 0.0041528237 0.011766334 0.0032530455 0.0035645072 0.007440476 0.008340254 0.01148948 0.015123201 0.0052602435 0.0068521593 0.011385659 0.010174419 0.014742525 0.0052602435 0.003599114 0.004671927 0.004395072 0.005225637 0.003356866 0.0017649501 0.000761351 0.0019379845 0.0019725913 0.00044988925 0.01270072 0.0019725913 0.0029069767 0.0014880953 0.001280454 0.001557309 0.0040143966 0.0010035991 0.0011766334 0.0011766334 0.0012112403 0.0010728128 0.0007959579 0.0012458472 0.000761351 0.0008997785 0.0006229236 0.0019725913 0.00083056476 0.0008997785 0.0009343854 0.0003806755 0.00055370986 0.0003114618 0.00034606867 0.0012112403 0.00069213734 0.0003114618 0.00069213734 0.00086517166 0.0007959579 0.00041528238 0.0014880953 0.00051910296 0.00034606867 0.00083056476 0.0007959579 0.00069213734 0.002041805 0.00044988925 0.0005883167 0.0005883167 0.00065753044 0.00044988925 0.00069213734 0.0006229236 0.00048449612 0.00048449612 0.00048449612 0.00048449612 0.00051910296 0.00044988925 0.00083056476 0.00086517166 0.00051910296 0.00044988925 0.00055370986 0.0007267442 0.0019379845 0.0006229236 0.0006229236 0.00065753044 0.00041528238 0.0005883167 0.00044988925 0.0005883167 0.00055370986 0.0007267442 0.00055370986 0.000761351 0.0008997785 0.00034606867 0.0006229236 0.0007959579 0.00041528238 0.0005883167 0.00055370986 0.00069213734 0.00034606867 0.00041528238 0.001522702 0.0011074197 0.00096899224 0.0006229236 0.0006229236 0.0003806755 0.0003114618 0.00051910296 0.00044988925 0.00065753044 0.00065753044 0.00048449612 0.00083056476 0.00086517166 0.00086517166 0.0003806755 0.00065753044 0.00083056476 0.009170819 0.00083056476 0.0005883167 0.00044988925 0.00048449612 0.0007267442 0.00083056476 0.00069213734 0.0006229236 0.00069213734 0.0006229236 0.00051910296 0.0007959579 0.00044988925 0.00086517166 0.00083056476 0.00083056476 0.00041528238 0.0008997785 0.0005883167 0.0008997785 0.0012458472 0.0008997785 0.00017303434 0.00065753044 0.0005883167 0.0009343854 0.00055370986 0.001522702 0.001557309 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04835793 0.0026584202 0.0025679977 0.0023328993 0.002025463 0.000958478 0.008300781 0.004900897 0.0008318866 0.0001808449 0.00014467593 0.00028935185 0.000108506945 1.808449e-05 0.00023509839 0.00016276042 0.044270832 0.0069082757 0.009856047 0.002061632 0.0015733507 0.0004159433 0.0035626446 0.0017180266 0.00032552084 0.00032552084 0.00021701389 0.00023509839 0.00030743633 0.0011031539 0.00034360532 0.0008499711 0.043475118 0.0075050634 0.003056279 0.0018627025 0.0011935764 0.0014648438 0.0015371817 0.001175492 0.0022063078 0.0024052372 0.0017361111 0.0019712094 0.0011393229 0.00088614004 0.0013925058 0.001066985 0.07537616 0.019513166 0.018590856 0.018590856 0.024395978 0.0177228 0.04369213 0.028428819 0.0032190394 0.0017180266 0.0015010127 0.00086805556 0.00088614004 0.0013201678 0.0015733507 0.0018627025 0.07414641 0.023925781 0.020254629 0.023473669 0.03085214 0.026367188 0.060022425 0.0327691 0.020037616 0.0017180266 0.0014648438 0.0018807871 0.001175492 0.0022967304 0.010036892 0.002911603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03361907 0.011863426 0.014304833 0.018102575 0.013310186 0.011375145 0.023509838 0.014359086 0.008499711 0.0048466437 0.005823206 0.0045572915 0.0049913195 0.0049913195 0.0050998265 0.005931713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 354.0 26.533897 9393.0 0.010220377 0.000106462256 0.0027680187 0.010326839 0.0067071225 0.00021292451 0.00042584902 0.00063877355 0.00042584902 0.0 0.000106462256 0.00085169805 0.000106462256 0.004577877 0.010752688 0.0047908016 0.01980198 0.012349622 0.011178537 0.00798467 0.007771745 0.007452358 0.007771745 0.009155754 0.009049292 0.0081975935 0.002022783 0.000106462256 0.0014904717 0.022250611 0.0014904717 0.00031938677 0.00031938677 0.020866603 0.008729905 0.015330565 0.019056745 0.010752688 0.007771745 0.012988396 0.0075588203 0.013520706 0.007132971 0.0073458957 0.0076652826 0.009688065 0.013094858 0.007878208 0.012988396 0.007026509 0.008091132 0.01554349 0.010326839 0.009155754 0.0063877357 0.007771745 0.011923773 0.00798467 0.007026509 0.0 0.000106462256 0.000106462256 0.00042584902 0.00851698 0.00042584902 0.02831896 0.014265942 0.02118599 0.014372405 0.05504099 0.025976792 0.020014904 0.011285 0.028957734 0.0073458957 0.009049292 0.019056745 0.022250611 0.03066113 0.031406365 0.014053018 0.017672734 0.029490046 0.025657404 0.04013627 0.01415948 0.010007452 0.011923773 0.011178537 0.013307783 0.007771745 0.00042584902 0.0 0.0 0.0 0.000106462256 5.9665623 0.0 12.0 0.0 2.0 28896.0 49152.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1541735000.0 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 0.0 0.0 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 -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 19968.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4974003 0.0 4.1585994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19944.0 0.0 1712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 28040.0 1712.0 40960.0 0.0 0.0 5856.0 23040.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.026580267 0.014699113 0.019801233 0.012243226 0.017497417 0.01112287 0.016019126 0.0103211375 0.014895666 0.00942837 0.014018416 0.009131471 0.013073924 0.008617328 0.01260323 0.008066977 0.012047707 0.00795939 0.011434252 0.0075497306 0.011104249 0.007261107 0.010638727 0.007139037 0.010299413 0.006763516 0.00988872 0.0065907557 0.009732511 0.0065214443 0.009593889 0.006185234 0.009257679 0.0060910955 0.008830433 0.00605075 0.008814916 0.0057662646 0.008212841 0.005620401 0.008227324 0.0053762607 0.007992494 0.0053793644 0.007933527 0.0051786723 0.0075724893 0.005294536 0.0074400743 0.0048621176 0.0073107625 0.004856945 0.0070128287 0.004856945 0.006991104 0.0047214264 0.006751102 0.004545563 0.006701446 0.004386251 0.006459375 0.004307629 0.0063766153 0.0042455597 0.0063155806 0.0042331456 0.0061138542 0.0041483175 0.0059948876 0.00399935 0.0058169547 0.0039455565 0.005790058 0.0038193485 0.005603849 0.0037738308 0.005485917 0.0036993474 0.0054745376 0.0036445193 0.0053297086 0.0036393467 0.0052076383 0.003406586 0.0051114303 0.0035441734 0.0050069466 0.003381758 0.0049117734 0.0034096893 0.004753496 0.003310378 0.00472453 0.003224515 0.0047524613 0.0031127897 0.0045031486 0.0030238233 0.0044803894 0.0031014103 0.004334526 0.0030176165 0.004285905 0.0029503743 0.0042455597 0.0028965806 0.0040314198 0.0028583044 0.0040272814 0.0028096833 0.00394866 0.0027093375 0.0039455565 0.0026151985 0.0037872794 0.00262244 0.0036662435 0.0026193366 0.003665209 0.0025789912 0.0034748623 0.0024641627 0.0035534839 0.002412438 0.0033258954 0.00233692 0.0033321022 0.0023751962 0.0032234804 0.0022665744 0.0032783085 0.002234505 0.0031955491 0.0021258832 0.0031189967 0.0021931254 0.0032172736 0.0020638139 0.0029710643 0.002087607 0.00285727 0.002014158 0.002903822 0.0020048476 0.0028624425 0.0019624333 0.002761062 0.0019717438 0.0026069225 0.0019148467 0.0026545094 0.0018641566 0.002534508 0.0018600186 0.0025541636 0.00179588 0.0024683005 0.001720362 0.0023545064 0.001659327 0.0024093345 0.0016965687 0.0023027817 0.0016417406 0.0022314016 0.001577602 0.0021807114 0.0015300153 0.0021662286 0.0015610501 0.0020741588 0.0014907046 0.0021072624 0.0014669112 0.0021414007 0.0014110486 0.001982089 0.0013800138 0.0019613989 0.0013613929 0.0018507082 0.0013562205 0.00179588 0.0012444952 0.001659327 0.0012931164 0.0017079482 0.0012600126 0.0016479475 0.0011803566 0.00158174 0.0011565633 0.0016076022 0.0011472529 0.0014886355 0.0011151836 0.0015641536 0.0010965627 0.0014100141 0.0011182871 0.0014338074 0.0010644934 0.0013293236 0.0009900099 0.0013282892 0.0009413887 0.0013117372 0.0009413887 0.0012538056 0.0009289748 0.0011958741 0.00089690555 0.0011627702 0.00083380146 0.0010944937 0.000895871 0.0011389769 0.0012993233 0.0009972514 0.00081621506 0.0010458726 0.0007686284 0.0009806994 0.0007427661 0.000908285 0.0006424202 0.00092276785 0.0006889724 0.0008451809 0.0006579376 0.00085966376 0.0006465582 0.00078311126 0.0006620756 0.0007541455 0.0005989715 0.00071793824 0.0005534538 0.0006600066 0.0005493158 0.00064966164 0.000524488 0.0006010405 0.00051517755 0.00057621265 0.00051310856 0.00053690193 0.0005100051 0.00047690133 0.0004313836 0.00048724626 0.00044586652 0.00044276303 0.000373452 0.0004065558 0.00046862537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007150757 8.802525e-06 2.3818597e-05 1.5016072e-05 1.7087255e-05 2.4336394e-05 3.7281283e-05 2.7960963e-05 4.8672788e-05 3.417451e-05 3.5727895e-05 2.692537e-05 2.588978e-05 1.1391503e-05 4.6601604e-06 3.6245692e-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 0.0010992801 3.52101e-05 4.8672788e-05 2.7443166e-05 2.6407575e-05 4.1941443e-05 4.608381e-05 9.527439e-05 0.00025164866 4.504822e-05 4.4012624e-05 3.883467e-05 4.504822e-05 0.0001423938 3.9352464e-05 9.42388e-05 0.00039248908 2.122962e-05 2.588978e-05 1.1391503e-05 1.8122846e-05 1.8122846e-05 1.760505e-05 2.122962e-05 0.00012116417 9.838116e-06 1.0355912e-05 1.7087255e-05 2.0711825e-05 0.00026718254 3.9352464e-05 4.8672788e-05 0.001899792 0.00019676232 0.0001889954 0.00015896324 0.00017242593 0.00014705396 0.0001651768 0.00018019287 0.00015896324 0.000121681966 0.00012219977 0.00011443283 0.00012012858 0.0002345614 0.00011546842 0.00014498277 0.20800678 0.13481843 0.10563186 0.08617362 0.0720787 0.060895868 0.05139018 0.042760596 0.035589647 0.029790334 0.024141185 0.018710027 0.014049348 0.009764072 0.0056558815 0.0019220572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005631545 0.0056910915 0.005732515 0.005481902 0.0055844258 0.005735104 0.005585461 0.0057061077 0.005612904 0.0055637136 0.0056558815 0.0055191834 0.005639312 0.005643972 0.0056025484 0.0057521914 10563.0 5.884313 62156.0 0.020818586 0.014141836 0.020223308 0.0133213205 0.019418882 0.0133213205 0.018373126 0.012903018 0.018823605 0.0123560075 0.017600875 0.012227299 0.017472167 0.011728554 0.016973421 0.011712465 0.015750691 0.010698887 0.01710213 0.011020658 0.01621726 0.011535492 0.015718514 0.010602355 0.014157925 0.01010361 0.01533239 0.009476157 0.013836154 0.009669219 0.01388442 0.009476157 0.014495784 0.009427891 0.013610914 0.009154386 0.012983461 0.0087682605 0.012468628 0.008253427 0.012967372 0.0090095885 0.01277431 0.007899479 0.01254907 0.0077225044 0.01243645 0.008028187 0.011599845 0.007979921 0.011278074 0.006950254 0.011036746 0.007465088 0.011117189 0.0065802177 0.010602355 0.0074007334 0.009910548 0.0071111396 0.0098140165 0.0069663427 0.009653131 0.0069019888 0.010055345 0.006918077 0.010071433 0.0066123945 0.009379625 0.0064032436 0.009540511 0.0066123945 0.009154386 0.0065158634 0.008671729 0.0063710664 0.008961323 0.0057275244 0.008526932 0.0055022845 0.008800438 0.005421842 0.008156896 0.0059366752 0.007561619 0.0056470814 0.009122209 0.0048104767 0.00699852 0.005277045 0.0077546816 0.0046335026 0.007416822 0.0047943885 0.0069824313 0.0047461228 6.4902616 2.0 0.0 0.0 8.0 966657.0 106496.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1049483800.0 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 5.0 50.0 4.0 0.0 4.0 0.0 88576.0 1024.0 65536.0 3.0 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 -88576.0 -512.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994409 -1.0182562 4.690292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90112.0 -4096.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 94208.0 5120.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.2914427 0.03420531 0.005876458 0.005147595 0.0036500092 0.006901421 0.0024314413 0.002704765 0.0056600766 0.0026193513 0.0068615614 0.0096175745 0.002448524 0.0037012573 0.005158983 0.008279428 0.0065825437 0.0016741072 0.0013666181 0.0007971939 0.0015203626 0.012612746 0.0009053845 0.00089969026 0.0034734877 0.0016513302 0.000706086 0.0008484421 0.0012755102 0.0013096756 0.0007858054 0.0010192693 0.009845344 0.00089969026 0.00055234146 0.0007174745 0.013882562 0.0010762117 0.0006776148 0.00095663266 0.0028585095 0.0006662263 0.00048970483 0.002306168 0.0010135751 0.00094524416 0.0009794097 0.0007573342 0.0047717746 0.0007117803 0.00075163995 0.0077498634 0.001600082 0.00088260754 0.0005124818 0.002875592 0.0022947795 0.0017481323 0.0005238703 0.0023744989 0.000728863 0.00089969026 0.0003644315 0.00062636664 0.005996037 0.01243053 0.0014691144 0.0020613156 0.0090253735 0.006468659 0.0013950893 0.0013495353 0.04793413 0.006070062 0.00080858235 0.0013893951 0.008233874 0.0036784804 0.00093954994 0.0015146683 0.0029040633 0.00063206087 0.0007345572 0.0016684129 0.0025681031 0.0018278516 0.001554528 0.002875592 0.0018221574 0.0004612336 0.00053525873 0.0010420462 0.00371834 0.0011616254 0.0013096756 0.00259088 0.0026250456 0.0022264486 0.0007174745 0.0022947795 0.0027844843 0.0046408074 0.0018904883 0.0009224672 0.0018620171 0.0023346392 0.00044415088 0.00076302845 0.002801567 0.0010648232 0.0026307397 0.0032457178 0.0030805848 0.0005922012 0.002915452 0.0025111607 0.00987951 0.00428207 0.0007971939 0.0010249636 0.0022207543 0.0012299563 0.00064344937 0.00088260754 0.0015203626 0.0007801112 0.0008541363 0.0016911898 0.0052614794 0.0011730138 0.000353043 0.009873816 0.002681988 0.007487928 0.0005124818 0.0007345572 0.0011445426 0.01416158 0.0004327624 0.03911375 0.0007971939 0.009907981 0.00069469755 0.0008655248 0.0014918915 0.00044415088 0.00040429118 0.0003929027 0.0004612336 0.00048401058 0.00044984513 0.00038720845 0.0011559312 0.0012755102 0.00040429118 0.00039859695 0.0010078808 0.0007117803 0.00390625 0.00050678756 0.0014292548 0.0007801112 0.00055234146 0.00088260754 0.0007573342 0.00062636664 0.00053525873 0.0009907981 0.0013039814 0.0004612336 0.00080858235 0.00062636664 0.0007174745 0.00062636664 0.000353043 0.00088260754 0.0011900966 0.00030179482 0.00029040634 0.00040429118 0.0004327624 0.00015374454 0.0002562409 0.0008256651 0.0024314413 0.0012527333 0.0029097577 0.00074025145 0.0008256651 0.00044984513 0.000540953 0.0011559312 0.009031068 0.0020840925 0.0015431396 0.0040372177 0.0031204447 0.0005238703 0.0011616254 0.003365297 0.0033083546 0.003575984 0.0009338557 0.0024542182 0.024792729 0.0013950893 0.0022890852 0.002847121 0.0019588193 0.0007971939 0.0023801932 0.0012185678 0.00060358964 0.00055234146 0.0011502369 0.0009794097 0.0017709093 0.0011103771 0.00061497814 0.00088260754 0.0010249636 0.00054664724 0.00044984513 0.0007117803 0.0017481323 0.0008256651 0.00067192054 0.0010021866 0.00068900327 0.00035873725 0.00044984513 0.00050678756 0.0059390943 0.0020897868 0.000706086 0.0040372177 0.0027104593 0.0007231687 0.00057511847 0.0005922012 0.002539632 0.0010477406 0.0010762117 0.0006776148 0.0004213739 0.00061497814 0.0011844024 0.0015886935 0.0027104593 0.0016342475 0.0009907981 0.0007231687 0.0010078808 0.0008484421 0.0011559312 0.030862791 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056726793 3.7339156e-05 2.01057e-05 1.7233457e-05 1.7233457e-05 0.0 5.7444854e-06 0.0 2.8722427e-06 2.8722427e-05 3.159467e-05 1.1488971e-05 2.8722427e-06 0.0 1.4361213e-05 2.01057e-05 0.0107278265 0.00019818475 0.00010914522 4.5955883e-05 4.5955883e-05 0.0 4.5955883e-05 2.8722427e-05 1.7233457e-05 8.616728e-05 2.8722427e-06 7.467831e-05 0.0 2.8722427e-06 3.159467e-05 0.00034754135 0.025919117 0.0004653033 0.00037626378 0.00031020222 0.0002556296 5.7444853e-05 2.01057e-05 0.00016659008 0.00010627298 0.00020105699 0.000112017464 0.00025850185 0.00013786765 2.01057e-05 0.00013499541 0.0008702895 0.023747703 0.0003245634 0.0001752068 0.00014648438 0.00049689796 6.893383e-05 8.329504e-05 0.00052274816 8.04228e-05 0.0010024126 7.467831e-05 0.0004107307 0.00033892464 6.318934e-05 3.159467e-05 0.0018439798 0.027814798 0.0005256204 0.00090188417 0.0003216912 0.0006405101 0.00014361214 0.000114889706 0.0004653033 0.00022116269 0.000887523 0.00022403493 0.00036190258 0.00024414062 0.0001752068 0.00027860753 0.0019732306 0.061902575 0.0015165441 0.0018755745 0.0021455653 0.0009794347 0.0005974265 0.002070887 0.0016055836 0.0017463235 0.001881319 0.0008559283 0.0005974265 0.00081284466 0.0005600873 0.000792739 0.0024126838 0.04063936 0.0016630285 0.0014160157 0.002001953 0.0019272749 0.00053998164 0.00072380516 0.000686466 0.0018123852 0.0013528262 0.00083869486 0.0006606158 0.0014648438 0.00072667736 0.000674977 0.0016946231 0.011761834 0.00044232537 0.000959329 0.0005026425 0.0015107996 0.0006347656 0.0042049633 0.0020507812 0.00014361214 0.00012637868 0.00012925093 9.765625e-05 0.00021254596 0.00030158547 0.00018956802 0.00026137408 0.022624655 0.001183364 0.0011374081 0.00068359374 0.0012551701 0.0012436811 0.007907284 0.004003906 0.0010225184 0.0008157169 0.0007582721 0.00023839614 0.00045955883 0.0005974265 0.00069795497 0.0024299172 0.024623737 0.0036046645 0.0018382353 0.0018439798 0.0027544808 0.0024672565 0.008194508 0.0045927158 0.0010943244 0.0006347656 0.0015538833 0.00046243105 0.0012350644 0.00082433363 0.0010857077 0.002013442 0.008631089 0.00051413145 0.00047679228 0.00038775275 0.0007582721 0.00047392002 0.0005256204 0.00047392002 0.0010598575 0.00050838693 0.00027286305 0.00022977941 0.0010139017 0.0008789062 0.00097369024 0.00046817554 0.0028952206 0.0004049862 0.0007324219 0.0004049862 0.0016055836 0.000295841 8.9039524e-05 0.00028722428 0.0014964384 9.478401e-05 0.000112017464 0.00013212317 0.002165671 0.00025275737 0.0003504136 0.0004451976 0.12827723 0.026706113 0.028774127 0.020746209 0.09933077 0.021001838 0.009329044 0.020117188 0.08711225 0.0061954274 0.0057531022 0.010618681 0.058814913 0.012387983 0.018477136 0.03459329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 858.0 10.851981 9311.0 0.043819137 0.000751799 0.00010739985 0.0004295994 0.022016969 0.0006443991 0.0012887982 0.00032219954 0.0023627968 0.00032219954 0.0002147997 0.003007196 0.003007196 0.0009665986 0.0061217914 0.0019331973 0.005477392 0.001503598 0.0010739985 0.0096659865 0.0013961981 0.002899796 0.00053699926 0.044248737 0.0019331973 0.009988186 0.00053699926 0.0038663945 0.002255397 0.0009665986 0.0006443991 0.0040811943 0.010739985 0.09988186 0.004510794 0.008269789 0.015680378 0.011062184 0.004295994 0.0061217914 0.02180217 0.004940393 0.0002147997 0.0006443991 0.009236387 0.0027923961 0.000751799 0.0020405971 0.0047255936 0.0010739985 0.004188594 0.00698099 0.011062184 0.009988186 0.016754376 0.023198368 0.0027923961 0.00032219954 0.0009665986 0.0013961981 0.007732789 0.00730319 0.011921383 0.022231769 0.0019331973 0.029964559 0.006443991 0.022124369 0.02158737 0.06486951 0.010739985 0.00708839 0.0044033937 0.027279561 0.0010739985 0.004188594 0.024164965 0.011276985 0.034582753 0.04285254 0.0135323815 0.00053699926 0.034475353 0.024701966 0.04865213 0.019009773 0.0033293953 0.005799592 0.009343787 0.0067661908 0.001503598 0.0004295994 0.0013961981 0.0006443991 0.00053699926 0.000751799 5.4989166 0.0 0.0 0.0 2.0 175616.0 208896.0 1.0 4.0 188.0 1.0 1.0 0.0 0.0 0.0 1534995600.0 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 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 105984.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -105984.0 0.0 38912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2625527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.908089 0.0 0.0 0.0 0.0 5.0664725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6055257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2145762 0.0 3.2995987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21128.0 0.0 0.0 0.0 0.0 4536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -105774.0 0.0 38408.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 126544.0 180.0 126708.0 38408.0 163840.0 4536.0 155648.0 0.0 0.0 840.0 204800.0 56.0 121264.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 114208.0 0.0 0.0 1568.0 114416.0 0.0 0.0 0.0 0.0


Input: 0.18764578 0.0043514585 0.0024896332 0.0014175987 0.0036863454 0.001748928 0.0013871654 0.0012457983 0.0064837467 0.0014333061 0.0010430738 0.00083102303 0.0041531515 0.0029932538 0.004831027 0.006983931 0.0343105 0.002826362 0.0023467934 0.0019349633 0.0036436408 0.0077452525 0.001329735 0.0011147391 0.0020306807 0.0017116227 0.0013631134 0.0105750505 0.001969814 0.000436373 0.0004206655 0.0003563631 0.0055658417 0.00045257132 0.0010911779 0.00028715207 0.0024150226 0.00251074 0.0004972394 0.00027291718 0.0010833242 0.000561051 0.0003975952 0.0008005898 0.0009468656 0.00074512284 0.0006739484 0.00033476533 0.003363361 0.0026933393 0.0028523772 0.0045698904 0.002957421 0.0024876697 0.0023978425 0.0022932899 0.00301976 0.0024974868 0.0027507697 0.0029692017 0.0028366698 0.0024439832 0.002392934 0.0034934382 0.0054431274 0.0024734347 0.0018132305 0.0017248759 0.0023541562 0.017934488 0.0009777896 0.0005949202 0.001537368 0.0014480319 0.00113241 0.0004128118 0.0012762315 0.009140272 0.0009988965 0.0006376249 0.0061916863 0.0031056602 0.002563262 0.0017376383 0.00539895 0.004871277 0.0020203725 0.0010254029 0.0011716787 0.001218801 0.0006670764 0.0004938034 0.0040422175 0.0019241644 0.0007789921 0.0025220297 0.00089188945 0.0055074296 0.0011147391 0.003843911 0.0049930103 0.00923648 0.001942817 0.0015957801 0.004304336 0.0068553262 0.0033515801 0.00084722135 0.0041610054 0.0017690532 0.004270467 0.0048158104 0.0029323872 0.0004928217 0.0062874034 0.005155975 0.009608059 0.0037977702 0.00096944504 0.00083740416 0.0014568673 0.0013248264 0.00054976123 0.00044275416 0.0010273664 0.0011991668 0.00042410154 0.00051294686 0.0014539221 0.0006680581 0.00035783567 0.005155975 0.0013979643 0.0055756588 0.00037452485 0.00028126177 0.0016384849 0.008214513 0.0010406194 0.021345953 0.0012457983 0.01716286 0.00035341794 0.00027488061 0.001253652 0.00039219574 0.0003597991 0.0009606096 0.0012173285 0.00239637 0.000374034 0.0002807709 0.0012021118 0.00043440957 0.00034310992 0.00026948118 0.0008771637 0.00038728717 0.0003480185 0.0002478834 0.00114959 0.0020390253 0.00032396644 0.004086395 0.0012286182 0.00045895248 0.00036716196 0.0002670269 0.0011436997 0.00035832654 0.00031022241 0.00022873994 0.0009748445 0.00028764294 0.00030187782 0.00021205077 0.0013901106 0.0004020129 0.0010582904 0.00024739257 0.0044545387 0.00044520842 0.0009321398 0.00025671886 0.0026182379 0.00068131124 0.000370598 0.00025426457 0.0010445464 0.00068425643 0.0006425335 0.00023610282 0.0023212687 0.0013150093 0.001205057 0.001890786 0.002815563 0.0010337475 0.0046636444 0.00822433 0.0027208272 0.0009463747 0.0004609159 0.00031660357 0.15429 0.00039170487 0.00041575695 0.0006287894 0.001634558 0.0005266909 0.0006454786 0.00039219574 0.0014652119 0.000370598 0.00050312973 0.00031464014 0.0016321037 0.00038041515 0.00032985676 0.0002915698 0.001565347 0.00031954874 0.0002999144 0.00023070339 0.002144069 0.00063320715 0.0005959019 0.00035783567 0.003186161 0.0015187154 0.00038483288 0.0002881338 0.0063251993 0.00895669 0.00057774014 0.003144438 0.0052865436 0.0025264474 0.001561911 0.00042999184 0.004105048 0.0026098934 0.001028348 0.0012242005 0.00394061 0.00071763474 0.00075494 0.0006980004 0.001977177 0.0009841708 0.0009915336 0.0011972033 0.012747589 0.0028091818 0.0090808775 0.057682227 0.036192495 4.666672e-06 9.824572e-07 3.192986e-06 3.192986e-06 1.4736859e-06 1.2280716e-06 7.3684294e-07 1.4736859e-06 9.824572e-07 2.2105287e-06 7.3684294e-07 0.08350199 9.824572e-07 1.9649144e-06 0.0 0.0023920378 2.1859674e-05 4.9122864e-06 5.649129e-06 7.859658e-06 1.0315801e-05 2.7754417e-05 2.2105289e-05 5.649129e-06 4.1754433e-06 5.8947435e-06 3.4386003e-06 0.00048312335 1.7193001e-06 5.8947435e-06 1.5719315e-05 0.0014928437 6.238603e-05 1.1298258e-05 4.666672e-06 1.0561415e-05 8.842115e-06 6.8772006e-06 2.2105287e-06 7.859658e-06 3.192986e-06 2.112283e-05 6.8772006e-06 0.0018241775 3.6842146e-06 1.54737e-05 3.9052677e-05 0.0013756858 1.8175459e-05 7.6140436e-06 3.9543906e-05 1.3263173e-05 1.2771944e-05 2.5789503e-05 1.768423e-05 4.9122864e-06 7.368429e-06 8.596501e-06 6.8772006e-06 0.00043915838 5.1579004e-06 1.7929844e-05 1.15438725e-05 0.0028208804 0.0001237896 7.245622e-05 2.3824588e-05 5.1579005e-05 4.1263203e-05 0.00019378969 0.000111508896 1.989476e-05 3.2666703e-05 7.122815e-06 5.403515e-06 0.00044333382 3.6842146e-06 1.1789487e-05 6.115796e-05 0.0038694078 0.0005784217 9.382467e-05 4.8631635e-05 6.238603e-05 5.0596547e-05 2.0631602e-05 2.4315817e-05 8.645624e-05 0.00013115804 7.5403594e-05 4.617549e-05 0.0016267035 2.8245646e-05 9.063168e-05 0.0002092634 0.006176954 0.0008743869 0.00031143895 6.18948e-05 0.00013754402 0.00010414047 0.00037652673 0.00022891254 6.336849e-05 0.00014884227 3.9543906e-05 4.887725e-05 0.00078694825 4.1754432e-05 6.484218e-05 0.00059438666 0.07223001 0.004772777 0.0036142145 0.00039396537 0.0049542864 0.003382846 0.02196185 0.010966433 0.0003274039 0.00065357966 0.00029670208 0.00034557935 0.0016271948 0.00025028098 0.0003161056 0.0026794064 0.012373312 0.0070962887 0.0007358605 0.00080365 0.0023296517 0.006875727 0.006272498 0.0038487762 0.0002709126 0.00019771952 0.0029567052 0.002935828 0.0020287742 9.7017655e-05 0.00019796513 0.00077810616 0.0102885375 0.0030527404 0.0017458266 0.0016782826 0.0048187072 0.002706424 0.010837977 0.00654513 0.00026722837 0.00030726352 0.0001957546 0.00032003544 0.0012405979 0.00025617573 0.0005098953 0.0020101075 0.013271278 0.005412603 0.001439791 0.0015154403 0.0045391982 0.0026929153 0.0045180754 0.0032502143 0.0012366681 0.00068428146 0.00081789563 0.00057547435 0.004874462 0.00051800057 0.00236502 0.008626712 0.014034156 0.009259168 0.003793513 0.034767196 0.004413689 0.0042368467 0.0043812683 0.003789092 0.008009728 0.0030851613 0.0028948102 0.0031463194 0.008745343 0.003015407 0.006350358 0.012838505 0.031702667 0.024597783 0.003626741 0.0036105304 0.014830683 0.011464293 0.006298288 0.004249373 0.03537927 0.0034582494 0.0034425303 0.004747479 0.04990367 0.0033742494 0.015447175 0.05046662 0.021693394 0.01666272 0.0027174768 0.002565687 0.012256646 0.007190359 0.003912636 0.0033867757 0.018822407 0.0021633708 0.0024251956 0.0029667753 0.02497652 0.0027626697 0.011201486 0.022243569 0.0020216515 0.0013265628 0.00017954406 0.00023628096 0.0012165277 0.0007009832 0.0004185268 0.00031905298 0.001806002 0.00019059671 0.0002743512 0.00028908806 0.0009949836 0.00026698277 0.0010669485 0.001770388 0.00030161437 0.0002819652 0.0002831933 0.00028614068 0.00028270207 0.000281474 0.00027901787 0.00027852663 0.0002817196 0.00028294767 0.00028294767 0.0002819652 0.00027901787 0.00028294767 0.0002809828 0.00028000033 5595.0 29.55353 165352.0 0.020477526 0.0013788766 0.001227684 0.0006591998 0.012125647 0.0012700179 0.0013123518 0.00074386765 0.0051768348 0.0018929314 0.0007922493 0.0007922493 0.0038281968 0.0019957423 0.004106391 0.0007741061 0.016981954 0.014085104 0.015548647 0.015905462 0.014520538 0.011841405 0.011496685 0.010855629 0.014538681 0.011563211 0.015536552 0.011176158 0.01332914 0.011926073 0.011496685 0.025485026 0.056933086 0.01377667 0.0047414 0.008279307 0.012367555 0.0088115055 0.003271808 0.0016207848 0.005569936 0.0069790506 0.00090110797 0.0015905462 0.004644637 0.0024795588 0.0048865452 0.0019534086 0.008188591 0.0035258117 0.004118487 0.0054913154 0.0064891865 0.0028484687 0.01161764 0.00347743 0.0068218103 0.0021227442 0.004420872 0.00063500897 0.0034109051 0.0010583482 0.00063500897 0.025406405 0.0042999177 0.033812713 0.005503411 0.030468334 0.015711935 0.05141758 0.013323093 0.008333736 0.010728627 0.044855822 0.0010946345 0.0023404616 0.02270913 0.007855968 0.018209638 0.024517393 0.015482123 0.001965504 0.04154168 0.03408486 0.058995355 0.008660313 0.0037072427 0.0025823698 0.0058602253 0.0060416567 0.0016691664 0.0026367991 0.0033080943 0.0029936137 0.0008164401 0.0005563888 5.82469 0.0 0.0 0.0 6.0 2037248.0 2064384.0 1.0 159.0 787.0 1.0 1.0 0.0 1.0 0.0 1539809700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1304576.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -147968.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 502272.0 0.0 0.0 0.0 0.0 0.0 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 -1305088.0 -69120.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -6.3518634 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 3.9395142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4784555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5030947 -5.24143 4.347215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -147743.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 501924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1304678.0 -68863.0 1596.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 -2.0 1.0 1.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -2.0 -1.0 -3.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -3.0 0.0 0.0 0.0 -3.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -3.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 2.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 -2.0 1.0 2.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 2.0 -2.0 1.0 -2.0 -1.0 0.0 0.0 0.0 2.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 3.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 -2.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -3.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 2.0 1.0 2.0 0.0 0.0 -1.0 1.0 2.0 1.0 0.0 0.0 0.0 1.0 -2.0 2.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -3.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 -3.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 -2.0 -1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -3.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 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 0.0 0.0 -2.0 -1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 2.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 0.0 2.0 3.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 2.0 -2.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 -3.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 -2.0 -3.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -3.0 0.0 1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 -2.0 -2.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -3.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 4.0 2.0 -1.0 -2.0 1.0 1.0 1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 4.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 -1.0 -1.0 -1.0 0.0 2.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 29828.0 1782816.0 620.0 1832156.0 1596.0 1908736.0 0.0 0.0 0.0 0.0 132368.0 1912832.0 56.0 1613792.0 0.0 0.0 0.0 0.0 24.0 1615300.0 64.0 1613848.0 0.0 0.0 5340.0 1826816.0 0.0 0.0 0.0 0.0


Input: 0.017239792 0.004439855 0.0039465376 0.004347769 0.004229373 0.004374079 0.003972848 0.0037360555 0.0043346137 0.003893917 0.0038149862 0.004380657 0.003821564 0.0037623658 0.0035453062 0.0044069667 0.0036571247 0.0039268048 0.003834719 0.0037163228 0.0037031677 0.0035255735 0.0038873395 0.0040057357 0.0040188907 0.0038412965 0.0037689435 0.003893917 0.003834719 0.003834719 0.0038412965 0.0040188907 0.0039004947 0.0036900127 0.0039004947 0.0036702799 0.0053146705 0.00393996 0.004268838 0.0037623658 0.0040188907 0.003834719 0.0039465376 0.0044003893 0.003893917 0.0039268048 0.003821564 0.0037492106 0.0036702799 0.0036308146 0.0039925803 0.0038873395 0.0036900127 0.0038873395 0.0038149862 0.003518996 0.0038610292 0.0037229005 0.0038084087 0.004150442 0.0036571247 0.003880762 0.0037229005 0.0037557883 0.003821564 0.0039004947 0.0038741843 0.0037426332 0.004374079 0.00415702 0.0038149862 0.0038281414 0.0039268048 0.0037360555 0.0038149862 0.003578194 0.0043148813 0.0036637024 0.003591349 0.0037229005 0.0038478742 0.0038478742 0.0037952536 0.0038741843 0.003986003 0.003683435 0.0036900127 0.0037689435 0.0040715113 0.003788676 0.0038018313 0.0036965902 0.0037360555 0.0034992632 0.0039925803 0.003578194 0.003972848 0.004150442 0.0037820984 0.0038544517 0.0039465376 0.0038544517 0.0039991583 0.0035716165 0.0037360555 0.004064934 0.0035518839 0.0038281414 0.0041307095 0.0038018313 0.0041307095 0.0039070724 0.0036637024 0.0038873395 0.0038873395 0.0037163228 0.0038873395 0.003986003 0.003611082 0.0036965902 0.0040517785 0.003683435 0.0035124184 0.0038018313 0.0039202273 0.003472953 0.0037229005 0.0036702799 0.0035979268 0.003953115 0.0035847716 0.0037229005 0.0038018313 0.0037820984 0.0036571247 0.0039070724 0.00391365 0.004150442 0.003624237 0.004663492 0.0038018313 0.004176752 0.0036702799 0.0039596925 0.0040846663 0.004078089 0.0038149862 0.003775521 0.0038741843 0.0036900127 0.003893917 0.0038149862 0.0035979268 0.0040978217 0.0037031677 0.0038084087 0.0037820984 0.0040715113 0.003953115 0.003880762 0.003880762 0.0038149862 0.0035847716 0.0036505472 0.0038610292 0.0035979268 0.0037031677 0.0038676069 0.0035716165 0.004137287 0.0038873395 0.0035979268 0.0040386235 0.0037557883 0.0037492106 0.0037820984 0.003775521 0.0038412965 0.0038149862 0.0037031677 0.0036571247 0.003591349 0.0038873395 0.004032046 0.0040188907 0.003893917 0.003834719 0.003834719 0.0039662705 0.0038084087 0.003834719 0.004045201 0.00415702 0.004604294 0.0036571247 0.0036571247 0.004012313 0.00393996 0.00393996 0.004032046 0.0038478742 0.0038676069 0.0039202273 0.0037097454 0.0036045043 0.0036176594 0.003972848 0.0036308146 0.0038676069 0.003729478 0.004064934 0.003972848 0.0039268048 0.0040912437 0.003893917 0.0038676069 0.0037229005 0.0037426332 0.0038873395 0.003367712 0.0036505472 0.0038676069 0.0038084087 0.003729478 0.003788676 0.0036505472 0.0035321512 0.0037952536 0.0034861083 0.0036505472 0.003933382 0.0036505472 0.0037097454 0.0035518839 0.0037623658 0.0038281414 0.0037492106 0.0037426332 0.0038873395 0.00393996 0.003986003 0.00391365 0.0037031677 0.0037229005 0.003953115 0.003683435 0.0038478742 0.004058356 0.0038084087 0.003953115 0.0038610292 0.0037097454 0.0041307095 0.0035979268 0.0038544517 0.004064934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046569407 0.00011625744 0.00030891263 0.00016276042 0.00031555592 0.00010961416 0.00021922831 0.00015943877 0.0002889828 2.3251489e-05 2.6573129e-05 4.982462e-05 0.00011957908 2.6573129e-05 7.6397744e-05 0.00014283057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027137809 0.00016608206 0.00068093644 0.00015943877 0.0004583865 0.00015943877 0.00025244473 0.00023915817 0.0007174745 5.978954e-05 6.311118e-05 0.00012622237 0.00039195365 6.6432825e-05 0.0002092634 0.0003388074 0.0018435109 0.00014283057 0.0007872289 0.00020262011 0.00055471406 0.00017936862 0.00036538052 0.00029562606 0.000906808 6.975447e-05 6.311118e-05 0.00016276042 0.00049160287 8.304103e-05 0.000259088 0.0003952753 0.0035375478 0.0005248193 0.0009200946 0.0005879305 0.0008935215 0.00060121703 0.0007672991 0.0006576849 0.00095663266 0.00049824617 0.00048163798 0.0006443984 0.0007108312 0.0005082111 0.0006543633 0.0006610066 0.061742667 0.060583413 0.061586548 0.059679925 0.05974636 0.059842687 0.060895648 0.059072066 0.059410874 0.06156994 0.060148276 0.06086243 0.060769424 0.060795996 0.058743224 0.06053691 728.0 5.6675825 4126.0 0.009452254 0.007270965 0.008482792 0.009936985 0.016965585 0.0075133303 0.01236064 0.009209888 0.010421716 0.014299564 0.011148812 0.01236064 0.01017935 0.008967523 0.010664081 0.009452254 0.009694619 0.0077556954 0.01236064 0.013330102 0.008967523 0.010906447 0.011391178 0.008725158 0.009694619 0.008240427 0.01017935 0.009936985 0.008967523 0.011875909 0.008725158 0.011391178 0.010906447 0.010906447 0.009209888 0.008240427 0.011391178 0.012603005 0.011875909 0.01017935 0.011148812 0.009936985 0.01017935 0.009936985 0.01236064 0.0135724675 0.009694619 0.012845371 0.008482792 0.005574406 0.011875909 0.011391178 0.008967523 0.008240427 0.009694619 0.0135724675 0.009694619 0.011391178 0.011391178 0.010421716 0.012603005 0.01017935 0.009452254 0.008725158 0.011148812 0.012118274 0.010421716 0.01017935 0.010664081 0.012603005 0.008967523 0.008482792 0.012845371 0.012845371 0.010664081 0.009452254 0.012845371 0.011391178 0.011148812 0.009936985 0.008967523 0.011391178 0.010906447 0.007270965 0.01236064 0.0135724675 0.009452254 0.008482792 0.009452254 0.010906447 0.008482792 0.009452254 0.010421716 0.006543868 0.010421716 0.008725158 6.5630236 0.0 0.0 0.0 4.0 152032.0 380928.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1365764200.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.45448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 372736.0 552.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 372836.0 0.0 0.0 0.0 0.0