Input: 0.21236975 0.0100832805 0.0036598574 0.0034824663 0.0058539044 0.0015918512 0.0021286926 0.0020119878 0.0049296035 0.0015405011 0.0018626059 0.00078892335 0.0036831982 0.0012464055 0.0015778467 0.005036972 0.0041173394 0.0017412332 0.0013911192 0.000830937 0.0027355566 0.002371438 0.00064887776 0.00037812302 0.0013864511 0.0005415095 0.00046215035 0.00066288235 0.0011063599 0.00077958696 0.00052750495 0.00074224145 0.0071423235 0.00043880942 0.0007282369 0.00091029616 0.0019279605 0.0004481458 0.0004481458 0.0011203645 0.0010129962 0.00042947306 0.00046681854 0.0017318968 0.0008542779 0.0009383053 0.003426448 0.0006068641 0.0042620534 0.0025301564 0.0020820107 0.0063907458 0.0025208201 0.0012417373 0.00078425516 0.00131176 0.0016945513 0.0022547336 0.0009616462 0.002768234 0.0020866788 0.0012417373 0.00090562797 0.0013911192 0.005363745 0.0043180715 0.000504164 0.004602831 0.0025815065 0.004098667 0.002996975 0.0012650782 0.0012277327 0.0023294245 0.00062553684 0.00034077754 0.0014191284 0.0017459013 0.0020446652 0.0014191284 0.0036598574 0.0015171602 0.0008542779 0.0026515294 0.0017599058 0.0031043433 0.0037952347 0.0020213244 0.0009476416 0.0027402248 0.00035945026 0.0007329051 0.00065354595 0.0018159241 0.0014284648 0.0018859468 0.0009476416 0.0059285956 0.00066288235 0.005387086 0.0035338164 0.009429734 0.0032630616 0.0021520334 0.0021847107 0.0057045226 0.0019419651 0.00035945026 0.004532808 0.002166038 0.0056344997 0.008598797 0.0041873623 0.0002894275 0.005718527 0.0028055795 0.010223326 0.0064887777 0.0009849871 0.0016011876 0.0012790828 0.0013584419 0.00034544573 0.00026608657 0.0006722187 0.0014984875 0.00074690965 0.00090095977 0.002091347 0.00075624604 0.00051816856 0.0051490087 0.0011763828 0.0050463085 0.00061620044 0.0005695186 0.0015965194 0.0037485529 0.00074224145 0.012197969 0.0005461777 0.003398439 0.0004808231 0.0006348732 0.00064887776 0.00023807745 0.00024741382 0.0003501139 0.00043880942 0.00046215035 0.00026141838 0.00026608657 0.00062086864 0.0016945513 0.00017739105 0.00023807745 0.00045281398 0.00029876386 0.00019139561 0.0009616462 0.0007142324 0.0006395414 0.0002847593 0.00055084587 0.0005135004 0.00036878666 0.00021473653 0.00043880942 0.0007095642 0.00033144117 0.00038745938 0.000252082 0.0003547821 0.00019606379 0.00020540015 0.00023807745 0.0006115323 0.00021006835 0.00019606379 0.00019139561 0.0004154685 0.00036878666 0.0018999515 0.00036411846 0.0012697465 0.00038279122 0.00029876386 0.0002940957 0.00039679575 0.00053684134 0.0004761549 0.0008356052 0.0037952347 0.00131176 0.0014191284 0.32770196 0.0013491056 0.0003547821 0.0013864511 0.0018299287 0.0011530418 0.0010036599 0.0003501139 0.00039679575 0.0029642978 0.00033610934 0.0004481458 0.0003174366 0.0009383053 0.0005881914 0.0009803189 0.0004154685 0.00048549127 0.00018672741 0.0005415095 0.00037345482 0.001185719 0.00039679575 0.00031276842 0.0006815551 0.0006722187 0.00040613214 0.0004108003 0.00034077754 0.0023200882 0.00040613214 0.0005415095 0.0004481458 0.0011997237 0.0013864511 0.0016432012 0.0021006835 0.0067595323 0.00087295065 0.00042947306 0.002287411 0.0020306606 0.00026608657 0.00046681854 0.0008402734 0.0018345969 0.0009196325 0.0014891512 0.0008496097 0.0011670464 0.0004761549 0.0026095156 0.0015451694 0.0029129477 0.0011250327 0.000830937 0.0013444374 0.0031043433 0.0012977555 0.002618852 0.026940098 0.009594257 4.695012e-06 2.347506e-06 1.173753e-05 0.0 0.0 0.0 0.0 0.0 0.0 2.347506e-06 0.0 0.31730536 0.0 2.347506e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048076925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048076925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037818323 0.00022536058 0.00014319786 1.6432543e-05 0.00020658053 7.277269e-05 9.859525e-05 7.7467696e-05 9.390024e-06 7.042518e-06 7.042518e-06 2.1127555e-05 9.390024e-06 1.173753e-05 4.225511e-05 7.7467696e-05 0.0070120003 0.00015493539 0.000394381 0.00026057317 0.0005610539 0.00021831806 0.00088266225 0.00036855845 0.000103290266 8.451022e-05 0.00018545297 9.859525e-05 0.003716102 8.685772e-05 0.00013615534 0.0001596304 0.11522029 0.0014319787 0.0064744214 0.008228009 0.011040321 0.0047208345 0.03278292 0.010284424 0.00013146034 9.859525e-05 0.0001924955 0.00038733848 8.920523e-05 8.216271e-05 0.0005094088 0.0006338266 0.02302434 0.00067842926 0.0013169509 0.0013192984 0.00198599 0.0008145846 0.0046410193 0.0016549918 0.00030048078 0.000107985274 0.00010094276 0.00020892803 0.00020658053 0.0001572829 0.00024648814 0.0016972468 0.013371394 0.00033334584 0.0014038086 0.0019249549 0.0012230506 0.00060096156 0.0041503906 0.0020916278 0.00019014798 0.00016902044 0.00014554537 0.00030282827 0.00016197792 0.0002676157 0.0006267841 0.0018826998 0.014324482 0.0005399264 0.0016338641 0.002565824 0.0018357497 0.0008216271 0.004972018 0.003122183 0.0007371169 0.0005352314 0.00029109075 0.0005516639 0.0006173941 0.00032630333 0.001953125 0.0036339392 0.0057513895 0.0005164513 0.001554049 0.0056387093 0.0008685772 0.00075354945 0.0028381348 0.0017606295 0.0007817195 0.00040377103 0.00045306867 0.00039672852 0.00056574895 0.00040377103 0.00054227386 0.0008098896 0.010662372 0.0024554913 0.00065260666 0.0011995756 0.0005047138 0.0006549542 0.0014930138 0.0014437162 0.0019695575 0.0012230506 0.00041081355 0.0007770245 0.0017794096 0.00045306867 0.0031761755 0.0047983024 0.023622952 0.005511944 0.003479004 0.0047889124 0.0073547363 0.008573092 0.003711407 0.007678692 0.016723633 0.0020634579 0.0009859526 0.0024461013 0.0068641077 0.0025446964 0.006676307 0.017167311 0.026078444 0.006533109 0.003446139 0.005936843 0.009439321 0.010723407 0.0043123686 0.009044941 0.01666025 0.0014906663 0.0020822377 0.002204308 0.010387714 0.003279466 0.008871226 0.018932637 0.0037466197 0.0019155649 0.001934345 0.0024249738 0.0018099272 0.0018498347 0.0025165265 0.0018498347 0.0016596868 0.0012629583 0.001368596 0.0012817383 0.0014366737 0.0012089656 0.0011925331 0.0013873761 616.0 15.175324 9348.0 0.064826705 0.0012836971 0.004920839 0.0037441163 0.0025673942 0.0016046213 0.0012836971 0.0055626873 0.0033162173 0.0011767223 0.0018185708 0.0010697475 0.0027813436 0.006953359 0.009199829 0.005776637 0.017436884 0.009092854 0.009520753 0.009948652 0.00877193 0.0074882326 0.007274283 0.008878904 0.006418485 0.006418485 0.0077021825 0.006418485 0.0119811725 0.006846384 0.005348738 0.005669662 0.0060975607 0.00855798 0.0020325202 0.010162601 0.005348738 0.0045999144 0.005241763 0.0066324347 0.0044929394 0.005776637 0.0013906718 0.0012836971 0.005776637 0.0047068894 0.0032092426 0.003958066 0.011232349 0.0025673942 0.0070603336 0.014227643 0.0074882326 0.0036371415 0.011339324 0.013264869 0.0025673942 0.002139495 0.002139495 0.0022464697 0.0014976466 0.0047068894 0.0016046213 0.0060975607 0.0075952075 0.034980744 0.008451005 0.029845957 0.020432178 0.0639709 0.008664955 0.011232349 0.0110184 0.036478393 0.0022464697 0.0032092426 0.031022679 0.012409071 0.036478393 0.04546427 0.018078733 0.0013906718 0.0432178 0.028669234 0.05648267 0.018399658 0.0071673086 0.008130081 0.0059905862 0.009199829 0.0033162173 0.0012836971 0.0016046213 0.0011767223 0.0020325202 0.0041720155 5.815684 0.0 10.0 0.0 3.0 214216.0 229376.0 1.0 0.0 89.0 0.0 1.0 1.0 0.0 0.0 1442336100.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 52736.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52736.0 0.0 57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3497666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.376135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3453526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6305394 0.0 4.1925917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12718.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52669.0 0.0 57472.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 80244.0 57472.0 86016.0 0.0 0.0 4808.0 135680.0 0.0 0.0 28.0 70080.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 77224.0 0.0 0.0 368.0 69632.0 192.0 79652.0 0.0 0.0


Input: 0.12239493 0.0028020146 0.0012386995 0.0012264756 0.0019273187 0.0007932024 0.0007864112 0.00078097836 0.0021527838 0.0006356485 0.0005949018 0.00057724485 0.0015171353 0.0005636626 0.0005039008 0.0018784227 0.001594554 0.00049846794 0.0003966012 0.0005161248 0.0008067846 0.0006655294 0.000493035 0.00035585448 0.0007049179 0.00046043767 0.00036536204 0.00040610874 0.0006750369 0.003072301 0.00034906337 0.000456363 0.0011544897 0.00048352746 0.00041561632 0.0006016929 0.0008556806 0.0004387061 0.00040067584 0.00049846794 0.0006044093 0.00046587057 0.0003966012 0.0006016929 0.0005337817 0.001180296 0.00046043767 0.00031510778 0.0009480398 0.0006234245 0.00087333756 0.001636659 0.0007415899 0.0007945606 0.00061120046 0.0004916768 0.0007836948 0.000772829 0.00061663333 0.0011449822 0.0004780946 0.0007551721 0.00046451236 0.00086790463 0.0008366655 0.00071035075 0.0005636626 0.0006736787 0.0007035596 0.0020780815 0.00091136777 0.00060576753 0.0005826778 0.0005555133 0.00037622784 0.00033548113 0.0005623044 0.0010417572 0.0006044093 0.00035585448 0.0015035531 0.000736157 0.00046994523 0.0008081428 0.0004903186 0.0010227421 0.0010050852 0.00092087535 0.00057996134 0.001168072 0.00038981007 0.0005677373 0.00049982616 0.0011572061 0.0009168007 0.0007429481 0.00083123264 0.000900502 0.0005147666 0.00067096227 0.000620708 0.0012522818 0.0013392081 0.0003504216 0.00079184416 0.00077011256 0.0011476986 0.00048216924 0.00078097836 0.0005921853 0.0007836948 0.00081085926 0.0007660379 0.00043598967 0.0009697714 0.00090321846 0.0024801155 0.0025167877 0.0006370067 0.00047673634 0.000571812 0.00052970706 0.00050933374 0.00037079494 0.00065738003 0.0024054134 0.00048081102 0.00063972315 0.0008828451 0.00072800764 0.00033412292 0.0028359701 0.0008244415 0.0017792725 0.0006831863 0.0008380237 0.0006750369 0.0020998132 0.000620708 0.0057154032 0.00041154164 0.0016081363 0.00031782425 0.00044278076 0.00058675243 0.00039524297 0.00032054068 0.0003273318 0.0006234245 0.0004033923 0.00032054068 0.00030288377 0.0004916768 0.00033819757 0.0004088252 0.00034634693 0.0004033923 0.00037079494 0.00034091403 0.00034091403 0.0006614547 0.0005663791 0.00034091403 0.00035585448 0.00036400382 0.00029065978 0.0002580624 0.00030695845 0.000493035 0.00029880911 0.00033683935 0.00044821366 0.00041425807 0.000292018 0.00036672028 0.00030695845 0.0006668876 0.00032054068 0.00031239135 0.00046994523 0.00046994523 0.00037486962 0.00039931762 0.0005935436 0.00061799155 0.00041561632 0.00040067584 0.00031374957 0.00039931762 0.00061663333 0.00038166074 0.00041833275 0.0019639907 0.0010852204 0.00076060503 0.0013405663 0.00086383 0.00036400382 0.00080950104 0.0008583971 0.000797277 0.00086111354 0.00040475052 0.00034091403 0.0011626391 0.0005568715 0.00046587057 0.00046451236 0.00071714184 0.00051069196 0.00054872216 0.00047673634 0.00052970706 0.00038166074 0.0004780946 0.00046043767 0.0006071258 0.00071714184 0.00035992917 0.0006668876 0.000444139 0.0006071258 0.00035585448 0.0004210492 0.00079048594 0.00048081102 0.00028794332 0.00037622784 0.0005419311 0.0005229159 0.00041289986 0.00045364656 0.0027082972 0.0008774122 0.00039524297 0.001283521 0.0011354747 0.00043055677 0.00040475052 0.0003517798 0.0010417572 0.00043598967 0.0004780946 0.0005256324 0.00068182807 0.0003680785 0.0007891277 0.00079184416 0.0012590729 0.00051069196 0.00046587057 0.00042919855 0.0013215512 0.00049982616 0.0010295332 0.6894762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052126404 0.00021285798 0.00032030707 0.0001326112 0.00026454235 0.00014825253 0.00036655096 0.00026318224 0.00014961264 4.9644193e-05 4.2163563e-05 4.4203734e-05 4.828408e-05 8.5687236e-05 9.996845e-05 0.00091603736 0.00087455387 7.208609e-05 2.1761838e-05 0.00012037017 9.044764e-05 1.8361552e-05 3.2642758e-05 2.1081782e-05 1.4281207e-05 1.8361552e-05 1.8361552e-05 2.7202299e-05 1.7001435e-05 1.4961264e-05 1.1560976e-05 1.9721667e-05 0.0030827005 0.0002523013 0.00030806602 0.000119690114 0.000319627 0.00017205454 0.0013662354 0.0010398078 8.5687236e-05 6.052511e-05 2.1761838e-05 2.9922528e-05 5.2364423e-05 2.2441896e-05 1.2921091e-05 1.7681494e-05 0.003385326 0.0006174922 0.00042571596 0.00024822098 0.00026114206 0.0001407719 0.0010309671 0.0010472884 0.00022237879 0.0001822554 7.752655e-05 9.5208045e-05 8.092684e-05 6.3245345e-05 4.556385e-05 0.00043251654 0.0043877307 0.00065557536 0.00037471164 0.0027059487 0.000437957 0.0003883128 0.0010010445 0.00088407466 0.0003726715 0.00038967293 0.00033118797 0.00031554667 0.00050324254 0.0003774319 0.00026658253 0.0005358853 0.0016232971 0.00020401724 0.00016185368 0.00023870016 0.0001550531 0.0002461808 0.00015641321 0.0002652224 0.0009976443 0.0002142181 0.00018429557 0.00023870016 0.00033594837 0.00013941177 0.00020537735 0.001597455 0.009642535 0.0017327864 0.0011397763 0.0019687663 0.0017912714 0.0021748238 0.0014254004 0.0025814981 0.0049365372 0.00059709046 0.0006412942 0.0008419111 0.002472689 0.00087999436 0.0020286115 0.00414223 0.012346443 0.003836204 0.0018402354 0.0026440634 0.0036709502 0.00509295 0.0024182843 0.0046577137 0.009416075 0.0007378623 0.0009874434 0.0011397763 0.0050739087 0.0020224908 0.00449654 0.007864185 0.0037008727 0.0024876501 0.0022904335 0.0023870016 0.0025706172 0.0024414062 0.002274112 0.0025488553 0.0028922844 0.0021646228 0.0021313 0.00213334 0.0027515125 0.002404683 0.0025393346 0.0026719458 579.0 10.701209 6196.0 0.03340865 0.0024209167 0.0030664946 0.0037120723 0.00435765 0.0030664946 0.0020981277 0.009683667 0.0062943837 0.0019367334 0.0020981277 0.003227889 0.0056488058 0.0025823112 0.0048418334 0.0038734667 0.011781795 0.012427373 0.019205939 0.018721756 0.018076178 0.016785022 0.011136217 0.012104584 0.01597805 0.010813428 0.0077469335 0.00726275 0.006132989 0.010329245 0.0062943837 0.010652034 0.005003228 0.0077469335 0.0045190444 0.009845061 0.0074241445 0.008069722 0.0077469335 0.008231116 0.008069722 0.0054874113 0.0017753389 0.004034861 0.008069722 0.0051646223 0.0054874113 0.0033892833 0.019044545 0.006617172 0.006455778 0.010974823 0.008231116 0.0041962555 0.008876694 0.0112976115 0.006939961 0.004034861 0.0033892833 0.00435765 0.0045190444 0.0038734667 0.0030664946 0.008392511 0.010490639 0.030664945 0.00726275 0.024370562 0.020819884 0.057617817 0.008553905 0.008553905 0.009845061 0.024531957 0.0087153 0.0037120723 0.030180762 0.007585539 0.022918012 0.030987734 0.012750162 0.0030664946 0.037927695 0.022756618 0.047934152 0.016139444 0.00726275 0.004034861 0.01016785 0.009038089 0.003227889 0.0030664946 0.00435765 0.0025823112 0.0029051001 0.0038734667 6.1066256 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18.0 23.0 5.0 1.0 5.0 1.0 84480.0 1024.0 1191936.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.685689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4288365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9353566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84231.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.1540839 0.01187593 0.0070758928 0.0065080915 0.015410622 0.005799386 0.0034561013 0.002532552 0.012244234 0.001984282 0.0023860678 0.0021512278 0.008615606 0.004421503 0.0019912575 0.0063323104 0.008875093 0.0019182478 0.0011695499 0.0011151413 0.006233259 0.0025683595 0.0012472098 0.0014313617 0.005783575 0.001062128 0.00072591146 0.0009258743 0.005136719 0.0021219307 0.0010077195 0.0012406994 0.005704985 0.0007310268 0.00070265995 0.0012169828 0.030118117 0.0017624628 0.00077241444 0.0006217448 0.0035579428 0.0006036086 0.0006422061 0.003094308 0.0028180804 0.0009519159 0.0011816407 0.00047898066 0.0044935825 0.002453962 0.0025292968 0.0062234933 0.003763951 0.002686477 0.002215867 0.0022330729 0.003925316 0.0029022507 0.0026771764 0.006222098 0.0037132627 0.0031124442 0.0025353422 0.0034612166 0.004949777 0.0038462612 0.0016755023 0.0023056176 0.012120071 0.0047088913 0.0037904575 0.0017931547 0.0037225632 0.00203311 0.0009914434 0.0014118303 0.007453962 0.002858538 0.0030212984 0.0018605841 0.0102566965 0.0055398997 0.005604074 0.0043368675 0.0060402714 0.0039002046 0.0058989027 0.004338728 0.0021963355 0.0017745536 0.00083333335 0.006331845 0.00585705 0.006809896 0.006344401 0.0036323476 0.0026469494 0.00242234 0.0016875931 0.0010686384 0.0023707217 0.0040880768 0.002329799 0.00069707964 0.0058975075 0.0029836309 0.00765718 0.002266555 0.0027943638 0.00084542413 0.0013406808 0.0014197358 0.0023632813 0.0006626674 0.0018508184 0.0016685268 0.0111449035 0.006471354 0.0010235305 0.00078171503 0.0018801154 0.000906808 0.000578032 0.00057291664 0.0032291666 0.0014815849 0.002015904 0.0014415922 0.0039625186 0.0035811942 0.0007482329 0.015365513 0.0047893417 0.007544643 0.0030557106 0.00080729165 0.002768787 0.017603237 0.0031784785 0.044738654 0.0017745536 0.009909319 0.0022265625 0.00064918154 0.029184803 0.00059244793 0.00043387277 0.00045107887 0.0013983445 0.0006798735 0.00095052086 0.00054734 0.0011639695 0.0009579613 0.0004106213 0.00041992188 0.0014104353 0.00051618303 0.0009774925 0.00047061013 0.0017703683 0.0025869606 0.0004236421 0.0012146578 0.0011509487 0.00077938987 0.00040271578 0.00034784226 0.0018554687 0.0003966704 0.00051664806 0.0005119978 0.0011258371 0.00035528274 0.0008923921 0.0007114955 0.00171968 0.0004310826 0.00050734746 0.000578497 0.0013643974 0.00041527158 0.0005640811 0.0004766555 0.00203125 0.0011667596 0.0005045573 0.000578497 0.0011509487 0.0007170759 0.0012909226 0.0013011533 0.009019252 0.0063513764 0.0033970424 0.0058384486 0.010220424 0.001015625 0.0029557291 0.0058803014 0.003844866 0.0035816592 0.0018656994 0.0014085751 0.0019238282 0.0009188988 0.0019633556 0.0010853795 0.0022116816 0.0018475632 0.0011588541 0.00078171503 0.0009500558 0.00046828497 0.0009784226 0.00057896203 0.0093271015 0.010384579 0.0005687314 0.0023990886 0.0014127605 0.001311849 0.0012300038 0.0018396578 0.003954148 0.0012565104 0.0011197916 0.0007621838 0.0011118861 0.0006436012 0.00085425965 0.00060407363 0.017407924 0.0021330914 0.00085425965 0.003973679 0.0024307105 0.0009979538 0.0005566406 0.0007021949 0.0032059152 0.0014653088 0.0010881696 0.0015420386 0.0015043713 0.0006761533 0.003155692 0.0019498698 0.004279669 0.0018001302 0.0015262277 0.0013630022 0.002560919 0.0013099888 0.0021168154 0.020896578 0.011411916 1.8610052e-06 1.6283796e-06 1.6283796e-06 1.1631283e-06 5.35039e-06 3.7220104e-06 1.3957539e-06 1.1631283e-06 0.0 6.9787694e-07 4.652513e-07 4.652513e-07 4.652513e-07 4.652513e-07 1.6283796e-06 0.00046199455 2.3262565e-07 2.0936309e-06 2.7915078e-06 2.3262565e-07 2.5588822e-06 3.256759e-06 1.8610052e-06 6.9787694e-07 0.0 0.0 0.0 0.0 2.3262565e-07 0.0 4.652513e-07 0.00084070914 2.7915078e-06 1.3957539e-06 0.0 4.1872618e-06 0.0 3.4893849e-06 3.7220104e-06 4.652513e-07 0.0 2.3262565e-07 0.0 4.652513e-07 0.0 1.0235529e-05 8.514099e-05 0.0018982254 8.1418975e-06 8.3745235e-06 4.1872618e-06 7.07182e-05 3.3265467e-05 2.5588822e-06 2.3262567e-06 3.7220104e-06 1.3957539e-06 1.8610052e-06 1.3957539e-06 1.8610052e-06 1.3957539e-06 2.5588822e-06 0.00034009872 0.0019677805 2.675195e-05 3.652223e-05 2.5356196e-05 4.4198874e-05 5.5364904e-05 4.9549264e-05 3.117184e-05 1.1863908e-05 6.2808926e-06 9.072401e-06 5.8156415e-06 5.1177644e-06 5.35039e-06 1.2096534e-05 8.97935e-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 0.008636925 0.00014539104 0.0001614422 0.00035103213 0.0024590858 0.0020682747 0.00016911885 0.00017563238 0.000106309926 9.88659e-05 5.4434404e-05 4.7920887e-05 0.00012864199 6.676356e-05 8.839775e-05 0.00048711812 0.007919508 0.00021727236 0.00020819996 0.00021773762 0.00040034874 0.0009898222 0.0003708053 0.0003356788 0.00020261694 9.630702e-05 0.00014888043 7.513809e-05 0.00011282344 8.7001994e-05 0.00010002903 0.00042826383 0.0031371897 9.816803e-05 0.00015795282 6.699619e-05 0.00070113374 0.000544344 0.00083442824 0.00054922915 0.00016376846 2.9310833e-05 3.047396e-05 2.8845581e-05 7.746434e-05 3.954636e-05 2.7217202e-05 0.00018377427 0.004001161 0.00015725494 0.00068787404 0.00045548103 0.0013948234 0.0009281764 0.0021448086 0.0010421629 0.00010282054 7.234658e-05 4.280312e-05 4.722301e-05 8.909563e-05 7.397496e-05 6.211105e-05 0.00013189875 0.0076189553 0.00040476865 0.0012712992 0.0006650768 0.0026475126 0.0016897927 0.0045157294 0.002436521 0.00021564399 0.00013445763 0.00013794702 0.000119104334 0.00026868263 0.00012003484 0.00013306187 0.00048944436 0.011508922 0.002197382 0.0029650466 0.028928628 0.00341541 0.003837393 0.0032409406 0.0027321882 0.0025367828 0.0020654832 0.0020829302 0.0021469023 0.0029736538 0.0020906068 0.0019489378 0.0020319852 0.009741199 0.0012443146 0.0010458849 0.0010142479 0.00245769 0.0025449246 0.0011887171 0.0011649893 0.0024756023 0.00093422463 0.0006364638 0.00064786244 0.001544867 0.0011112527 0.00088723423 0.00089840026 0.06775966 0.011727357 0.014242506 0.006717531 0.014741022 0.02015678 0.008687638 0.009105434 0.04120475 0.0102459965 0.0032737409 0.0034440227 0.01813224 0.012908397 0.0115279965 0.013871468 0.10882996 0.025539506 0.03341179 0.015998363 0.0294525 0.04613269 0.020515721 0.019777833 0.0748701 0.026120838 0.007854838 0.0075152046 0.037095185 0.020183532 0.023847852 0.0307245 0.0010749631 0.00078836834 0.00075882487 0.0007046231 0.0007518461 0.0007260247 0.0007816222 0.000710904 0.000848851 0.0007613838 0.00075998803 0.00070881034 0.0008523404 0.00076301215 0.0007155565 0.0006797322 11182.0 11.449204 128025.0 0.025979301 0.0022026948 0.0017340364 0.00152314 0.021941027 0.008474907 0.0016090607 0.0016637376 0.005483304 0.0019527436 0.0014918961 0.0019839874 0.005248975 0.0047725053 0.011552432 0.0015621949 0.017777778 0.01610623 0.015457918 0.015614138 0.016363991 0.014255028 0.014153485 0.014005077 0.01674673 0.014528412 0.014965827 0.014622144 0.015817223 0.013981644 0.014395626 0.01691857 0.012075766 0.01923843 0.0050849444 0.015450108 0.018144894 0.018785393 0.00801406 0.005842609 0.008162469 0.011646163 0.0017496583 0.0034602617 0.015840655 0.008474907 0.012099199 0.011193126 0.020699082 0.010677602 0.021534856 0.01980082 0.020652216 0.010396407 0.012435071 0.009357547 0.0047646943 0.005147432 0.0017184144 0.0046631517 0.0064440537 0.0047725053 0.005155243 0.011521188 0.0039445423 0.022425307 0.0041944934 0.011771139 0.015848467 0.029291155 0.008553017 0.0051005664 0.013395821 0.016012497 0.006155048 0.0043975785 0.015934387 0.0076157 0.015207967 0.016363991 0.010091779 0.0019917984 0.019441515 0.01602031 0.024815466 0.009209139 0.004046085 0.0031009568 0.005842609 0.0047725053 0.001819957 0.0016715486 0.00400703 0.0015856278 0.0020855302 0.003397774 6.2570086 0.0 2.0 0.0 4.0 2150400.0 3047424.0 0.0 0.0 210.0 1.0 1.0 0.0 0.0 0.0 952512500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1773568.0 4096.0 4096.0 7.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 -131072.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1785856.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.50263 0.0 6.388126 0.0 0.0 0.0 0.0 0.0 0.0 5.249174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8121557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.647937 0.0 4.1380477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -130330.0 0.0 6905.0 0.0 0.0 0.0 0.0 0.0 0.0 102173.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1008728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1782768.0 0.0 2470.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 1874656.0 2400.0 2891776.0 0.0 0.0 0.0 0.0 117764.0 2895872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1004.0 1777664.0 0.0 0.0 0.0 0.0


Input: 0.65126956 0.01484375 0.008056641 0.0026367188 0.00703125 0.0031738281 0.0047851563 0.0032226562 0.0019042969 0.00083007815 0.010302735 0.0007324219 0.0012207031 0.001171875 0.0010742188 9.765625e-05 0.0012695312 0.0016601563 0.0024902343 0.0009765625 0.00034179687 0.00029296876 0.0026855469 0.0008789062 0.00092773436 0.0007324219 0.0009765625 0.0005371094 0.001171875 0.0004394531 0.0004394531 0.0012695312 0.007910157 0.00029296876 0.0012695312 0.0010253906 0.0006347656 0.0005859375 0.0010742188 0.000390625 0.0015625 0.0004394531 0.0010742188 0.0004394531 0.0006347656 0.00092773436 0.0037597655 0.002001953 0.0021972656 0.0015136718 0.0004394531 0.00034179687 0.00048828125 0.00083007815 0.0005371094 0.000390625 0.00048828125 0.0005371094 0.0007324219 0.00048828125 0.0010253906 0.0012695312 0.0010742188 0.000390625 0.00092773436 0.0033203126 0.0007324219 0.0022949218 0.005078125 0.0021972656 0.00092773436 0.0018554687 0.000390625 0.001171875 4.8828126e-05 0.00024414062 0.0018554687 0.00083007815 0.0017578125 0.0013671875 0.0030273437 0.0004394531 0.003125 0.004638672 0.0015625 0.002001953 0.0010253906 0.0001953125 0.00014648438 0.00034179687 0.0001953125 0.00014648438 0.00068359374 0.0001953125 4.8828126e-05 0.0020507812 0.00029296876 0.0075683594 0.004003906 0.0048828125 0.0036132813 0.020019531 0.0005859375 0.0020996095 0.0010253906 0.007910157 0.0006347656 0.0005859375 0.0060058595 0.0061035156 0.007421875 0.013720703 0.00546875 0.0005371094 0.01171875 0.012402344 0.014013672 0.0052246093 0.00078125 0.0018066406 0.0016601563 0.003076172 0.00029296876 0.0021972656 9.765625e-05 0.0005371094 9.765625e-05 0.0001953125 0.004833984 0.000390625 0.0001953125 4.8828126e-05 4.8828126e-05 0.00024414062 0.00048828125 0.00014648438 0.00092773436 0.0004394531 9.765625e-05 4.8828126e-05 9.765625e-05 0.0001953125 9.765625e-05 0.0001953125 4.8828126e-05 0.0004394531 0.0 4.8828126e-05 4.8828126e-05 9.765625e-05 0.0 0.0 9.765625e-05 0.0 9.765625e-05 4.8828126e-05 0.00014648438 0.00014648438 4.8828126e-05 4.8828126e-05 4.8828126e-05 4.8828126e-05 0.00029296876 4.8828126e-05 4.8828126e-05 0.0 4.8828126e-05 0.0 4.8828126e-05 0.00014648438 4.8828126e-05 0.0 4.8828126e-05 0.0001953125 4.8828126e-05 0.0 0.0005371094 0.0005371094 4.8828126e-05 0.0 0.00034179687 0.000390625 0.0 9.765625e-05 0.00014648438 0.00083007815 0.00014648438 0.0005371094 0.00029296876 0.0007324219 0.00029296876 0.0001953125 0.0005371094 0.00014648438 0.0 0.0 0.0004394531 0.00014648438 0.0 0.0 9.765625e-05 0.00014648438 9.765625e-05 4.8828126e-05 0.00092773436 0.00029296876 0.00014648438 9.765625e-05 4.8828126e-05 0.00014648438 4.8828126e-05 4.8828126e-05 0.0 0.00014648438 9.765625e-05 0.00014648438 0.0 4.8828126e-05 0.0 0.0 0.000390625 0.0 0.0 0.0 0.00048828125 4.8828126e-05 0.00029296876 0.0 0.0 4.8828126e-05 9.765625e-05 0.0 0.00014648438 0.00014648438 0.00014648438 0.0 4.8828126e-05 0.0 0.00014648438 0.0001953125 9.765625e-05 9.765625e-05 0.0005371094 4.8828126e-05 0.0010253906 4.8828126e-05 0.0 4.8828126e-05 0.00078125 0.00024414062 4.8828126e-05 0.0 4.8828126e-05 9.765625e-05 0.00048828125 0.01669922 0.3156353 0.0 0.0 0.00010279605 0.0 0.0 0.0 5.1398027e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049316406 0.0004111842 0.0005910773 0.00015419407 0.00043688322 0.0002055921 0.0007709704 0.0003854852 7.709704e-05 2.5699013e-05 0.0 0.00010279605 5.1398027e-05 2.5699013e-05 2.5699013e-05 5.1398027e-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 0.044356495 0.0027240955 0.0009251645 0.00028268914 7.709704e-05 5.1398027e-05 0.0010022615 0.0025185032 7.709704e-05 5.1398027e-05 0.00012849507 0.00012849507 5.1398027e-05 0.0 2.5699013e-05 0.00023129112 0.04029605 0.00010279605 0.0023643093 0.0013620477 0.00025699014 0.00012849507 0.0048571136 0.0030581825 0.0 0.0 0.0 5.1398027e-05 0.0 0.0 5.1398027e-05 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035747327 0.0012335526 0.0015933388 0.0011307566 0.0013363487 0.0014648438 0.0051398026 0.0027754933 0.0010279606 0.00015419407 0.00012849507 0.00048828125 0.00010279605 0.0 0.00015419407 0.00015419407 0.06954153 0.00442023 0.0050370065 0.0031095806 0.00806949 0.0052682976 0.028448807 0.02004523 0.0022615131 0.00012849507 0.00017989309 0.00033408718 0.0010279606 0.00012849507 0.00023129112 0.009662829 0.106419615 0.006039268 0.009817023 0.005499589 0.0098941205 0.008197986 0.026752673 0.019377057 0.004034745 0.0005653783 0.00030838815 0.0015933388 0.0012592516 0.00035978618 0.00053967925 0.009868421 0.039216693 0.0026469983 0.0043688323 0.0016190378 0.005807977 0.005345395 0.023283307 0.014674136 0.0013877467 0.00043688322 0.0003854852 0.0025956004 0.0007452714 0.0006424753 0.00084806746 0.0012592516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 152.0 19.052631 2896.0 0.02417127 0.00034530388 0.007596685 0.0024171271 0.0 0.0 0.00034530388 0.0 0.0 0.00034530388 0.0 0.0 0.0013812155 0.0031077347 0.0148480665 0.0024171271 0.0041436465 0.002762431 0.0013812155 0.00069060776 0.00034530388 0.0010359116 0.0010359116 0.0017265193 0.00069060776 0.00069060776 0.0024171271 0.0 0.0041436465 0.0048342543 0.0041436465 0.00069060776 0.00069060776 0.0148480665 0.0034530386 0.015538674 0.031422652 0.008287293 0.002762431 0.005524862 0.00034530388 0.0034530386 0.00034530388 0.0010359116 0.007596685 0.0020718232 0.005524862 0.005179558 0.0127762435 0.0 0.012430939 0.021063536 0.007941989 0.005179558 0.002762431 0.00069060776 0.0 0.0 0.0 0.0 0.0041436465 0.0 0.0 0.011049724 0.00034530388 0.040400553 0.025552487 0.028314916 0.017610498 0.11084254 0.0031077347 0.011049724 0.0041436465 0.04281768 0.0031077347 0.0034530386 0.0355663 0.0355663 0.040745858 0.04730663 0.014502763 0.0034530386 0.052831493 0.056284532 0.07872928 0.027279006 0.0048342543 0.009668509 0.008287293 0.018301105 0.0013812155 0.0 0.00034530388 0.0 0.0 0.00034530388 5.16781 0.0 0.0 0.0 1.0 20480.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1516052400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4096.0 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 -5.2974977 0.0 4.0946193 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 -7796.0 0.0 2616.0 0.0 0.0 0.0 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 15892.0 2616.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 15580.0 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: 0.21498077 0.0050480356 0.0035784903 0.0027993897 0.0038202803 0.00279133 0.0015232763 0.001585067 0.0046611717 0.0017167082 0.002622077 0.00111492 0.002936404 0.0025280477 0.00094566715 0.0029337173 0.0034575954 0.0010450697 0.0011928302 0.00095372676 0.0016414847 0.006017882 0.0008193991 0.000644773 0.0013647696 0.000964473 0.0006662655 0.0008005932 0.0011525318 0.00082745875 0.0006582058 0.00082477217 0.009588312 0.000765668 0.0011202932 0.000741489 0.002248646 0.0011122335 0.00063134026 0.0007952201 0.0016683502 0.0009188016 0.0012411881 0.0014426797 0.0012438747 0.0006662655 0.0013432772 0.0004996991 0.003882071 0.0012438747 0.001139099 0.0026838677 0.0011605915 0.0010289503 0.0010235772 0.00082477217 0.0013217847 0.0013217847 0.0009134285 0.0019638713 0.0011471587 0.001585067 0.0008946226 0.0009188016 0.0028477476 0.0016468578 0.004099682 0.0020767064 0.0024313317 0.0048196786 0.0052710194 0.0011498453 0.0015528284 0.0017086485 0.0010799948 0.00068507134 0.0019101402 0.002490436 0.014090978 0.052898254 0.0040835626 0.0050587817 0.0016790965 0.0023077503 0.0023776006 0.0064960886 0.0024850627 0.0019235729 0.0008999957 0.002272825 0.00062596716 0.0011820839 0.01330919 0.053787503 0.0014050679 0.0012626805 0.0010880545 0.0040083393 0.0046719178 0.0017408872 0.0037719223 0.006968922 0.0035355056 0.0011713377 0.0032829694 0.0035462517 0.0032399846 0.0013405907 0.007342353 0.0027644644 0.004486546 0.0029525233 0.0019450653 0.0006904445 0.015622313 0.05476541 0.006415492 0.0054214667 0.0012008898 0.0009617864 0.0010531293 0.0009913385 0.0006770117 0.0005964151 0.000916115 0.0015662612 0.00092148816 0.00082477217 0.0022029746 0.0012976057 0.0009349209 0.004808932 0.0014964108 0.0037155047 0.000644773 0.0005588033 0.0012492478 0.004365651 0.0011041738 0.015146793 0.0008435781 0.0041775918 0.00075223524 0.00075223524 0.0018241704 0.0005937285 0.000741489 0.0009779058 0.00069850415 0.00063134026 0.0005883554 0.0008193991 0.001133726 0.0010799948 0.0006205941 0.000518505 0.00068507134 0.00053731084 0.0008865629 0.0004916394 0.0009617864 0.0011847705 0.00090268225 0.00095372676 0.00090805534 0.0052549 0.000765668 0.00092148816 0.0012089495 0.00071731 0.000765668 0.0006367134 0.00065551925 0.00063134026 0.0007683545 0.0004594008 0.0010934277 0.0004835798 0.0005292512 0.0005131319 0.00060447474 0.00075492176 0.0006716386 0.00090268225 0.0013405907 0.0011847705 0.00062865374 0.0007468621 0.0009429806 0.00062865374 0.00066089234 0.0019128267 0.0033958047 0.0014426797 0.0015259628 0.002243273 0.0012277553 0.0006877579 0.0013164117 0.0016361116 0.0013190982 0.0010504427 0.0007952201 0.00072805624 0.0061683287 0.00057492265 0.0007629814 0.00079790666 0.002084766 0.0060232547 0.00082745875 0.0007388024 0.0009913385 0.0004594008 0.00079790666 0.00060447474 0.0012949192 0.0006474596 0.00065551925 0.00075760833 0.0010961142 0.0004647739 0.00046746046 0.0026140173 0.012065316 0.00045671425 0.0006904445 0.0004889529 0.0014131275 0.00092686125 0.00060447474 0.00043790837 0.010988007 0.0017086485 0.00067432516 0.0019181998 0.0019665577 0.0005211915 0.0005641764 0.0006125344 0.001880588 0.00080327975 0.00062596716 0.0006823848 0.0012062629 0.00055611675 0.00135671 0.0010182041 0.0021411837 0.0008408915 0.00083283184 0.0016414847 0.002699987 0.001386262 0.021406464 0.1104147 0.016574586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026302442 9.441903e-06 6.744216e-06 8.0930595e-06 1.7534961e-05 8.0930595e-06 2.4279178e-05 1.2139589e-05 2.5628022e-05 5.395373e-06 2.6976866e-06 2.6976866e-06 1.3488433e-06 2.6976866e-06 2.6976866e-06 2.6976866e-06 0.0025668486 8.0930595e-06 8.0930595e-06 0.0001092563 8.0930595e-06 4.0465297e-06 4.0465297e-06 6.744216e-06 5.395373e-06 5.395373e-06 6.744216e-06 5.395373e-06 5.395373e-06 5.395373e-06 6.744216e-06 6.744216e-06 0.0022498704 1.6186119e-05 0.0 1.3488432e-05 0.0 0.0 0.0 1.2139589e-05 2.2930335e-05 0.0 0.0 0.0 2.1581493e-05 0.0 1.6186119e-05 0.00041004835 0.0023105685 7.688406e-05 7.688406e-05 1.4837276e-05 6.879101e-05 3.372108e-05 5.530257e-05 4.0465296e-05 9.441903e-06 1.6186119e-05 1.7534961e-05 4.0465297e-06 4.0465297e-06 4.0465297e-06 5.395373e-06 2.4279178e-05 0.017178867 0.00020772185 0.00011060514 9.576787e-05 0.00082144554 0.0007000496 0.00018479153 0.00077558483 0.00013488432 4.181414e-05 4.3162985e-05 3.5069923e-05 0.00012139589 2.1581493e-05 0.000113302835 0.0015134021 0.0019221016 0.0 2.2930335e-05 9.441903e-06 0.00019827996 0.00019288459 2.4279178e-05 0.0002185126 9.441903e-06 0.0 0.0 1.0790746e-05 2.6976866e-06 0.0 5.395373e-06 0.00014567508 0.022438006 0.00022255913 0.00031023394 0.00016455888 0.0033923406 0.0031441536 0.0007728872 0.0034395503 0.00016051234 6.879101e-05 8.227944e-05 5.530257e-05 0.000103860926 7.283754e-05 9.8465556e-05 0.004147693 0.021534283 8.9023655e-05 0.00021716376 0.00013353548 0.0068791006 0.0067050997 0.0004113972 0.006876403 0.0001308378 8.9023655e-05 3.9116454e-05 9.0372494e-05 7.553522e-05 0.00029404782 0.0004869324 0.011196747 0.034949876 0.00053549075 0.0017710312 0.0013947039 0.036885466 0.036375605 0.0060198875 0.037168723 0.00045321134 0.00051660696 0.0007836779 0.0005489792 0.0004181414 0.002193219 0.0028797803 0.04981278 0.023441546 0.00096577173 0.0024710807 0.00083763164 0.014641693 0.013816201 0.008818737 0.013539689 0.0010574932 0.001385262 0.0017534962 0.0011195398 0.00067577045 0.0022255913 0.0028109893 0.020936744 0.019747065 0.0010143301 0.002562802 0.004577974 0.009932881 0.009462135 0.007908268 0.008892924 0.0012180054 0.001402797 0.0014014482 0.0013002849 0.0010993072 0.0040640645 0.0054601175 0.013878248 0.0069654263 0.0004586067 0.001204517 0.00071218924 0.0043823915 0.004200298 0.0028622453 0.0040573203 0.0015700535 0.0012314939 0.00082414324 0.0010494001 0.0006690262 0.002212103 0.0015997281 0.0074375216 0.026507467 0.00370797 0.0066727274 0.0043662055 0.008423526 0.0075751035 0.014440715 0.0074793356 0.01062214 0.0022728008 0.0018681479 0.002159498 0.004819417 0.0021864749 0.005248349 0.013197082 0.029356224 0.0073957075 0.0054601175 0.0057298862 0.009591624 0.010101487 0.0063382145 0.007545429 0.017084448 0.0022728008 0.0037403423 0.003922436 0.009285437 0.0037578773 0.008882132 0.015944676 0.022440705 0.0083898045 0.0051943953 0.0049785804 0.0059052357 0.009244972 0.008227943 0.0048126727 0.011724145 0.0035649927 0.0072028227 0.0033410846 0.008472084 0.0035649927 0.008562457 0.011444935 1768.0 13.390271 23674.0 0.10589676 0.0009715299 0.0016473769 0.0011404917 0.002154262 0.0014784151 0.00071808737 0.004773169 0.006167103 0.0034637155 0.0019008195 0.0011404917 0.007518797 0.0023232237 0.009461856 0.0013516939 0.008236884 0.0054490156 0.0057024583 0.0043507647 0.0029145898 0.0029145898 0.0046464475 0.0029990708 0.0033369942 0.0029145898 0.0027878685 0.0030413112 0.003505956 0.0067162286 0.0032525132 0.0027878685 0.0062938244 0.008659288 0.0029568302 0.010348906 0.007983441 0.014868632 0.0039706007 0.0046464475 0.0029145898 0.0136859 0.0019430598 0.001562896 0.013263496 0.0058291797 0.019261638 0.030497592 0.011658359 0.0016473769 0.014066064 0.011447157 0.02057109 0.005744699 0.0056179776 0.0068007098 0.0016473769 0.002238743 0.00071808737 0.005280054 0.0091239335 0.027118357 0.001182732 0.004688688 0.0029990708 0.039621525 0.005786939 0.016811691 0.028343331 0.06399426 0.0068851905 0.0091239335 0.0075610373 0.024879614 0.0039706007 0.0029568302 0.019219397 0.015206556 0.030708794 0.031553604 0.012334206 0.0019008195 0.03979049 0.051533327 0.046548955 0.017234096 0.0041395626 0.0038861197 0.0027878685 0.0060403817 0.0013516939 0.0008870491 0.0015206556 0.0019853003 0.0013516939 0.001182732 5.633338 1.0 0.0 0.0 4.0 372224.0 446464.0 1.0 0.0 102.0 1.0 1.0 0.0 0.0 0.0 1288953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -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 129536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129536.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1330686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2957926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.82171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.852327 0.0 3.6791267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7698.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40012.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129199.0 0.0 163448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 172764.0 163448.0 274432.0 0.0 0.0 0.0 0.0 3740.0 438272.0 28.0 135664.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 170080.0 0.0 0.0 428.0 135168.0 0.0 0.0 0.0 0.0


Input: 0.008374258 0.003921883 0.00396253 0.0039041655 0.0038864478 0.0038906166 0.0039406433 0.00393439 0.0037863944 0.003845801 0.0039052079 0.0038072388 0.003827041 0.0038697722 0.0038583078 0.0037790989 0.003920841 0.0039646146 0.004027148 0.0038885323 0.0037957744 0.0038635188 0.003798901 0.0038937433 0.0038562233 0.0038635188 0.0039875433 0.0038343365 0.003804112 0.0038520545 0.0039083343 0.0038603921 0.00378431 0.0038061966 0.004014641 0.0040261056 0.0039979657 0.0037540856 0.00392501 0.0038812368 0.0039083343 0.0038176612 0.0038989545 0.0039885854 0.0038843632 0.003967741 0.0039656567 0.004080301 0.003995881 0.0039927545 0.0038864478 0.0039031233 0.00395315 0.0039125034 0.00381245 0.0039041655 0.0038374632 0.003788479 0.0038051545 0.00389687 0.003920841 0.0038280834 0.0039083343 0.0037968166 0.003873941 0.004031317 0.0037582545 0.00375617 0.0039604455 0.003882279 0.0038603921 0.0038374632 0.0038176612 0.0038718567 0.0038291255 0.0038562233 0.0038749834 0.003920841 0.003939601 0.00393439 0.0038426744 0.003911461 0.0038197455 0.0038322522 0.0038082812 0.003910419 0.0038718567 0.003919799 0.0038530966 0.0038843632 0.0038666455 0.0037790989 0.0039083343 0.0038749834 0.0038061966 0.003938559 0.0038864478 0.00399067 0.0038854056 0.0038749834 0.0040125567 0.0038489278 0.0038468433 0.0037957744 0.0039166724 0.0039927545 0.003967741 0.00379369 0.004004219 0.0037968166 0.0039229253 0.00392501 0.00397191 0.003935432 0.0038864478 0.003968783 0.003920841 0.004045908 0.0039406433 0.0038906166 0.0038728989 0.0037968166 0.0039177146 0.0039093764 0.0039771213 0.0038426744 0.003907292 0.004032359 0.0039937967 0.0038635188 0.00397191 0.003911461 0.0038228722 0.0037499166 0.0038864478 0.0038437166 0.0038603921 0.0039562765 0.0038843632 0.0038426744 0.0039614877 0.0039739944 0.0038979123 0.00395315 0.00394377 0.0038603921 0.00394377 0.00398129 0.0038114078 0.0039312635 0.004033401 0.0037874365 0.0038207876 0.00388749 0.0038708143 0.003844759 0.0038728989 0.0038770677 0.0039427276 0.0038134921 0.003844759 0.0039771213 0.0037916056 0.0038864478 0.0039594034 0.00391563 0.0038989545 0.003845801 0.0038155767 0.0038760256 0.0039729523 0.004005261 0.0039125034 0.003844759 0.0037738876 0.0039229253 0.0038520545 0.0038979123 0.0038155767 0.0038603921 0.0038927011 0.0038603921 0.0038187033 0.0038843632 0.003952108 0.003921883 0.0039041655 0.0038385056 0.0038291255 0.003939601 0.003891659 0.00388749 0.0038093233 0.0039166724 0.003882279 0.003911461 0.0038468433 0.0037540856 0.0037686767 0.0040115146 0.0038895744 0.0039083343 0.003911461 0.0039458545 0.0038385056 0.0039270944 0.0038927011 0.0038927011 0.0039604455 0.0038635188 0.0038426744 0.0040104724 0.0037363677 0.0038322522 0.0038656034 0.003982332 0.0039145877 0.0039364747 0.0039885854 0.003907292 0.0037634654 0.0038666455 0.0039406433 0.0037301143 0.00393439 0.0038562233 0.0038812368 0.0038416323 0.00387811 0.00383121 0.003757212 0.0039406433 0.0039083343 0.0038426744 0.0038854056 0.00384997 0.0038635188 0.0038301677 0.0039177146 0.004004219 0.0038885323 0.0038416323 0.00388749 0.0039312635 0.00383121 0.0038114078 0.0038635188 0.003954192 0.0038374632 0.0037582545 0.003851012 0.003937517 0.0039427276 0.003919799 0.003968783 0.0040490343 0.001062116 5.21668e-07 0.0 5.21668e-07 0.0 5.21668e-07 5.21668e-07 5.21668e-07 1.565004e-06 1.043336e-06 0.0 0.0 1.043336e-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 0.0 0.0 0.0 0.0019567767 7.303352e-06 5.738348e-06 6.1035156e-05 6.260016e-06 8.346688e-06 3.3386754e-05 1.4606704e-05 5.21668e-06 6.781684e-06 7.303352e-06 3.651676e-06 5.738348e-06 5.21668e-06 4.695012e-06 4.695012e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006213066 2.086672e-05 2.5040064e-05 2.4518396e-05 3.3386754e-05 2.5561732e-05 9.0770234e-05 6.573017e-05 1.5650041e-05 1.9301717e-05 3.443009e-05 1.5128372e-05 1.6171709e-05 1.7736713e-05 1.5650041e-05 2.7126736e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032708584 7.1468516e-05 3.2865086e-05 6.36435e-05 8.659689e-05 3.182175e-05 3.8081766e-05 2.9213408e-05 3.7560098e-05 2.869174e-05 4.5906785e-05 7.1468516e-05 3.0256744e-05 7.1468516e-05 2.8170072e-05 7.407686e-05 0.061926164 0.06203728 0.06269249 0.061978854 0.06189695 0.061820265 0.062345587 0.06276084 0.062373236 0.062224038 0.06221569 0.06197729 0.062112402 0.062070146 0.062034674 0.062192217 4645.0 5.656405 26274.0 0.010086017 0.009667352 0.009933775 0.011532313 0.010733044 0.009210627 0.009362868 0.009705412 0.010162137 0.010390501 0.010542742 0.010580802 0.010009896 0.012293522 0.011418132 0.010047956 0.010428561 0.011912918 0.010124077 0.011380072 0.010124077 0.010733044 0.010428561 0.009819593 0.009895714 0.010390501 0.009819593 0.010200198 0.010009896 0.009705412 0.010200198 0.009172566 0.009895714 0.009553171 0.009743473 0.010580802 0.011189769 0.011912918 0.010961407 0.009857654 0.010504682 0.011151709 0.010314379 0.0096292915 0.011227829 0.009819593 0.011608434 0.010580802 0.009819593 0.010162137 0.009781533 0.011189769 0.010352439 0.010200198 0.0102763185 0.010390501 0.010352439 0.009705412 0.010733044 0.010124077 0.010847226 0.010390501 0.011151709 0.009705412 0.010542742 0.011227829 0.009438989 0.009058385 0.011532313 0.010694983 0.010009896 0.010428561 0.010504682 0.009971836 0.010009896 0.010162137 0.012407703 0.009210627 0.010124077 0.0114561925 0.010162137 0.010238258 0.009971836 0.011532313 0.010580802 0.010885286 0.010542742 0.010961407 0.009248687 0.010847226 0.011037528 0.011075588 0.009248687 0.0102763185 0.012598006 0.0102763185 6.581436 0.0 0.0 0.0 14.0 959488.0 970752.0 0.0 0.0 10.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 13.0 0.0 5.0 1.0 4.0 0.0 954880.0 512.0 4096.0 3.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 954880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8243438 0.8373772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 954796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -735.0 2924.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 958572.0 2704.0 966656.0 0.0 0.0 0.0 0.0 216.0 969364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 958520.0 256.0 4864.0 0.0 0.0