Input: 0.16953011 0.013047329 0.006148937 0.005513036 0.012621502 0.003926122 0.0016919513 0.0012008313 0.013197788 0.0012689634 0.0023590797 0.00091694674 0.011948696 0.005396643 0.00096804596 0.0051922468 0.009430641 0.002466956 0.00046273164 0.0006614508 0.0053199944 0.0031426009 0.00074377726 0.0005564135 0.004016965 0.0007040334 0.0004911201 0.0005620912 0.0037245639 0.0012547693 0.00066428963 0.0005337028 0.016737826 0.0019417696 0.0004400209 0.0005677689 0.025839163 0.0011923147 0.00064725656 0.0004797647 0.0026202535 0.00050815317 0.0005280251 0.0023420467 0.002007063 0.0012320585 0.001825377 0.00030375636 0.0026969023 0.0007352607 0.00075513264 0.0051950854 0.002722452 0.0011468931 0.0005706077 0.00053654163 0.0026032203 0.0016096248 0.0017004679 0.0039630267 0.0020780342 0.0012888354 0.0006302235 0.0009935956 0.004581895 0.003741597 0.0027167741 0.0019786747 0.01877044 0.0145405615 0.0025436047 0.0014790379 0.009893373 0.001206509 0.0024754724 0.0006784838 0.006784838 0.0035542333 0.0014648438 0.0010106286 0.010245389 0.006753611 0.004161746 0.0042270394 0.005382449 0.0044740187 0.0046840934 0.0040595476 0.0015755587 0.002208621 0.00045705397 0.0018367324 0.0038778617 0.0021234557 0.0029268486 0.0024527616 0.0014222611 0.005510197 0.0020666788 0.002611737 0.0043178825 0.01125034 0.002884266 0.0018111828 0.010739349 0.0052263127 0.0104015265 0.0015869141 0.0059956396 0.0022228153 0.005021916 0.0061375815 0.003707531 0.002157522 0.0049310727 0.0046812547 0.015088459 0.009958667 0.001879315 0.0016891125 0.0017941497 0.002114939 0.0009822402 0.0003945994 0.0032164108 0.0021887491 0.0015443314 0.0006699673 0.0032164108 0.0018026662 0.00042298783 0.020013854 0.0035315226 0.0082070995 0.00049963663 0.0003122729 0.0025805095 0.022276413 0.0022341707 0.045875728 0.0023306913 0.010884129 0.00074945495 0.0006728061 0.014512173 0.00042866552 0.00043718205 0.00061602925 0.0016266579 0.0014222611 0.00046557048 0.0002753679 0.0008374591 0.0011582485 0.0003179506 0.00026401255 0.0011979924 0.00033214482 0.00025833485 0.00023278524 0.0011099882 0.0032050554 0.0003009175 0.0009339798 0.0015500091 0.0009964344 0.00017033066 0.00018736374 0.0010305005 0.00029240098 0.0002299464 0.0004087936 0.0007210665 0.0001788472 0.0012235419 0.00036053325 0.0010248228 0.0001987191 0.0002299464 0.00024981832 0.0007948764 0.0003065952 0.00061035156 0.0007409384 0.0018225382 0.00072958303 0.00034350017 0.0003945994 0.0008431368 0.00051950855 0.0007153888 0.0011468931 0.008249682 0.0036308821 0.0022881087 0.0045904117 0.010270939 0.0006784838 0.0018594431 0.0048061637 0.0026145757 0.002518055 0.0010361782 0.00060467387 0.0040396755 0.0005280251 0.0009055914 0.0006444177 0.0011355378 0.0017600836 0.0008232649 0.0005223474 0.0016209802 0.00029807867 0.00036053325 0.0003520167 0.002574832 0.0013456122 0.0003122729 0.0012803188 0.00420149 0.004303688 0.0007721657 0.0015585256 0.004218523 0.001879315 0.00089423603 0.0006131904 0.0029978198 0.0016124636 0.0006444177 0.00041731013 0.017254496 0.0029268486 0.00046273164 0.0035258448 0.0045875725 0.00056493003 0.00034917786 0.00040595475 0.002977948 0.00081474835 0.001368323 0.0023079806 0.0012178643 0.00039176055 0.0026458031 0.0025521212 0.0035485555 0.0015869141 0.0008431368 0.0010617279 0.0023306913 0.0010134674 0.002410179 0.030347247 0.023323616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028129555 7.1178024e-06 8.541363e-06 5.694242e-06 7.1178024e-06 9.964923e-06 5.694242e-06 2.847121e-06 7.1178024e-06 7.1178024e-06 9.964923e-06 5.694242e-06 8.541363e-06 7.1178024e-06 7.1178024e-06 2.847121e-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 0.0051134294 0.0001081906 9.537856e-05 8.541363e-06 5.978954e-05 3.131833e-05 8.968431e-05 7.2601586e-05 8.399007e-05 2.704765e-05 9.964923e-06 1.5659165e-05 1.9929847e-05 5.694242e-06 2.1353408e-05 6.8330904e-05 0.004820176 1.1388484e-05 2.562409e-05 1.9929847e-05 0.00017082726 2.847121e-06 0.00011103772 9.3954994e-05 0.00040713832 2.847121e-06 2.847121e-06 0.0 1.1388484e-05 0.0 2.2776969e-05 0.00012812045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014036306 2.847121e-06 0.006020237 0.00016513302 0.00043845663 0.00043560952 0.015730344 0.007869442 0.0 0.0 0.0 1.4235605e-06 0.0 0.0 1.4235605e-06 1.4235605e-06 0.012701007 0.0001622859 0.0056828535 0.0016499066 0.0016684129 0.00080858235 0.016590174 0.008326406 0.00054522365 0.00017225082 0.00010676704 6.406022e-05 7.829583e-05 6.406022e-05 0.0004256446 0.0005167525 0.01249459 0.00030891263 0.0044842158 0.0015716108 0.002183742 0.001259851 0.012229809 0.0060031544 0.00066907343 0.00028044143 0.00023773461 0.0001765215 0.00030891263 0.00017367439 0.00040429118 0.00094524416 0.005428036 0.000105343475 0.0016029291 0.00067476765 0.0017936862 0.00086267764 0.006024508 0.0031005146 0.000129544 0.00014947385 4.1283256e-05 6.975447e-05 4.2706815e-05 6.263666e-05 3.558901e-05 0.0002847121 0.0033112017 0.000116731964 0.00010249636 5.8365982e-05 0.00076587556 0.00024058172 0.0013580767 0.00042706815 0.00048828125 0.0003929027 0.00013096757 0.00016370945 0.00024200529 0.00010391992 0.00029040634 0.00055376504 0.012796385 0.0018762527 0.0029937478 0.0014861971 0.005850834 0.0040500294 0.0016698365 0.0011673196 0.010894508 0.0009836802 0.0005338352 0.0004256446 0.002410088 0.0014990092 0.0022663083 0.0015744579 0.07260728 0.0129942605 0.0139964465 0.007983327 0.030084103 0.022776969 0.009969194 0.011892424 0.05312443 0.008162696 0.004259293 0.004045759 0.018373895 0.00891576 0.017098386 0.024415486 0.09627824 0.019121265 0.02434146 0.015684789 0.03460391 0.03113754 0.015575175 0.018174596 0.059595935 0.014259806 0.007598966 0.0057241367 0.027908903 0.01245473 0.02288943 0.029053446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1933.0 20.713917 40040.0 0.11625874 0.012312687 0.0001998002 0.00024975024 0.009465534 0.0010489511 0.000999001 0.0011238761 0.0025974025 0.0015984016 0.0005494506 0.00034965036 0.0033716285 0.0065434566 0.009415585 0.00024975024 0.0046453546 0.0022477522 0.0023976024 0.0077672326 0.0016483517 0.0015984016 0.002022977 0.0018981019 0.003121878 0.001948052 0.008741259 0.0007992008 0.0016483517 0.0014485514 0.0018231769 0.001023976 0.0013736264 0.0047702296 0.0014735265 0.0046453546 0.0060939062 0.00497003 0.0023976024 0.002947053 0.0017982018 0.002972028 0.00032467532 0.0011488511 0.0061438563 0.0024225775 0.0035714286 0.0019230769 0.008441558 0.0032467532 0.006068931 0.011313686 0.0061438563 0.0034965035 0.004020979 0.0044955043 0.0010739261 0.0020979021 0.00047452547 0.0015234766 0.0012987013 0.0014985015 0.001948052 0.0032217782 0.00042457544 0.04502997 0.015534465 0.02047952 0.01978022 0.092807196 0.016383616 0.013186813 0.024175825 0.04273227 0.003921079 0.009665335 0.04060939 0.017207792 0.04115884 0.051573426 0.016208792 0.0013236763 0.03608891 0.03523976 0.06333666 0.023476524 0.011088911 0.01048951 0.0055194804 0.014585415 0.00467033 4.995005e-05 0.0020979021 0.00012487512 0.00032467532 0.00024975024 5.2614307 0.0 0.0 0.0 1.0 352256.0 626688.0 0.0 0.0 89.0 0.0 1.0 0.0 0.0 0.0 940682560.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 286720.0 4096.0 4096.0 4.0 0.0 0.0 2.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.125276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.963473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5347614 0.0 0.5374702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -288600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 36864.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 296688.0 36864.0 589824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384.0 290816.0 0.0 0.0 0.0 0.0


Input: 0.22278742 0.039011486 0.0051233093 0.0034325444 0.0038552356 0.0076958956 0.0023393773 0.0031337454 0.0057792095 0.0019312616 0.0027183418 0.0016397504 0.0023393773 0.005822936 0.0015158582 0.009342934 0.005597015 0.0011879081 0.0011368936 0.001027577 0.0016105993 0.009262769 0.0009109725 0.00091826025 0.004000991 0.0016178872 0.0008380947 0.001158757 0.0016761894 0.0009036847 0.0009984259 0.0009546992 0.01171875 0.0011514692 0.00091826025 0.00074335356 0.014816056 0.0013190882 0.0008380947 0.0012680737 0.0027693564 0.00044455458 0.00051743235 0.0010494404 0.0007360658 0.001158757 0.0016178872 0.00041540345 0.004576726 0.0015522972 0.0010858792 0.004984841 0.0016397504 0.0012753615 0.000597598 0.00074335356 0.005196187 0.0024268306 0.0005392957 0.00515246 0.0008308069 0.0011077425 0.000597598 0.0014065416 0.01093167 0.013125291 0.002149895 0.003804221 0.011871793 0.0067994986 0.0016178872 0.0016105993 0.056822818 0.011616721 0.0008672458 0.0014429804 0.012549557 0.005932253 0.0009838503 0.0016980527 0.0039864155 0.00056115905 0.0015304338 0.0022009094 0.0027766442 0.0029369753 0.0024414062 0.0029369753 0.0021717583 0.00067776354 0.0004664179 0.0010130014 0.0034981344 0.0014429804 0.0015595849 0.0027693564 0.0028057953 0.0025580106 0.0009109725 0.0027766442 0.0026746152 0.0049192514 0.0022300605 0.000925548 0.001982276 0.002317514 0.0007360658 0.00067776354 0.0028859607 0.0017344916 0.0020260029 0.0029442632 0.0032357743 0.0004737057 0.003804221 0.0028786731 0.014910798 0.0053856694 0.0012097715 0.000859958 0.0024997084 0.0023758162 0.000663188 0.0009036847 0.0016616138 0.0012170592 0.000663188 0.0009984259 0.008716185 0.0017126283 0.000597598 0.0108660795 0.004598589 0.009984259 0.000663188 0.0009474114 0.002448694 0.0132054575 0.0011004547 0.043311276 0.0008672458 0.014743179 0.0006194613 0.0007652169 0.0018292328 0.00040811568 0.00045184235 0.00045184235 0.00056115905 0.0005684468 0.00037896456 0.0005392957 0.0007870802 0.00024049674 0.00029151118 0.00023320895 0.00056115905 0.0002477845 0.00027693564 0.00033523788 0.0016616138 0.0009838503 0.0005392957 0.0007360658 0.0007579291 0.00062674907 0.0006121735 0.0006413246 0.001195196 0.00072877796 0.0009692747 0.00037167678 0.00042269123 0.00033523788 0.0002842234 0.0005101446 0.0014138293 0.0005392957 0.00037896456 0.00045913013 0.00059031014 0.00040082788 0.0015668727 0.0013045126 0.002485133 0.0014429804 0.00390625 0.0016251749 0.000794368 0.000429979 0.000991138 0.0012826492 0.008657883 0.001785506 0.00088910916 0.0038333721 0.0031847598 0.0007360658 0.0018000816 0.0021353194 0.0035345731 0.0028057953 0.0011004547 0.0017344916 0.031264577 0.0010421525 0.002215485 0.0026381763 0.002317514 0.0006850513 0.002084305 0.00077250466 0.000495569 0.00048099348 0.0008308069 0.0015522972 0.003468983 0.0008818214 0.00062674907 0.0016033115 0.0005247202 0.00044455458 0.00051743235 0.0005247202 0.0026673274 0.00056115905 0.0005757346 0.00056115905 0.0005538713 0.00030608676 0.00033523788 0.00040811568 0.009007696 0.0034325444 0.000794368 0.0036001632 0.0026673274 0.0008089436 0.0005684468 0.00060488575 0.0034471198 0.00069962686 0.00063403684 0.00088910916 0.00082351913 0.0005757346 0.004314366 0.0010640159 0.003403393 0.0015085704 0.0009765625 0.0006194613 0.0007214902 0.00081623136 0.0017709305 0.025711287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018536331 0.0001468515 6.241189e-05 0.000121152494 0.00033775845 5.5069315e-05 8.443961e-05 9.545348e-05 9.545348e-05 4.772674e-05 0.00012849507 0.00027534657 0.000906808 0.00023496241 0.00013216636 0.0012959645 0.018099448 0.00015786536 0.00010646734 6.975447e-05 0.00036345748 8.81109e-05 9.178219e-05 8.81109e-05 0.00010279605 5.8740603e-05 0.000117481206 0.00095086347 0.0005910773 0.00017989309 0.00013583765 0.0013547051 0.01731012 0.00023129112 0.00019457824 0.00023129112 0.00022027726 0.00021660597 0.00033408718 0.0002973743 0.00095086347 0.0001762218 0.00021293468 0.00016520794 0.00031940202 0.00039282776 0.0007929981 0.00051030895 0.015500176 0.0003267446 0.00021293468 0.00033775845 0.0003561149 0.00037814263 0.00069754466 0.00066083175 0.0013253348 0.00026433272 0.00026433272 0.00045891094 0.0002716753 0.00031573072 0.0006755169 0.00051030895 0.019083353 0.00036712876 0.000829711 0.0006498179 0.00078932685 0.0004919525 0.0011124001 0.0008223684 0.0024340637 0.00025699014 0.00046992482 0.00034510103 0.00055803574 0.00069020205 0.0004075129 0.0007672991 0.02141462 0.0013216635 0.0007672991 0.0008957942 0.0028489192 0.002118333 0.008076833 0.0041669114 0.0007672991 0.00027901787 0.000293703 0.00016153665 0.00028268914 0.0002386337 0.0008333823 0.0006461466 0.042836584 0.0038107964 0.007625264 0.00501865 0.011212112 0.0052095572 0.011050575 0.0072177514 0.0018319725 0.0012519091 0.00092149316 0.0008223684 0.0014758576 0.002232143 0.001417117 0.0013290062 0.010209851 0.0006204476 0.0007636278 0.00075628527 0.0019457825 0.00089946546 0.0016373943 0.0010646734 0.0013326774 0.00034510103 0.00024964756 0.000293703 0.0010499882 0.00052866543 0.00042954064 0.00042954064 0.016241776 0.0019457825 0.0022137864 0.0019090696 0.010488869 0.0016630932 0.0011454418 0.0019494537 0.008473332 0.00057639217 0.0021293468 0.0015382695 0.004148555 0.0010389744 0.001685121 0.0030031132 0.13301075 0.023852356 0.027299695 0.0227216 0.11135016 0.020786831 0.010074013 0.0260331 0.09387483 0.0045560678 0.0045854384 0.0137856845 0.057694286 0.011087288 0.01992775 0.03590152 0.0052903253 0.0010536596 0.0014758576 0.0011417704 0.0047800164 0.0011784834 0.00072324363 0.0014464873 0.0047176047 0.00027901787 0.0003230733 0.00074894266 0.002474448 0.00089212286 0.0010756872 0.002474448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 666.0 15.121622 10071.0 0.07496773 0.0012908351 0.0 0.0 0.019163936 0.00079436006 9.929501e-05 0.0094330255 0.0012908351 0.00019859002 0.00019859002 0.00059577 0.00019859002 0.0056598154 0.013603415 0.000297885 0.010823156 0.012411876 0.0038725052 0.01012809 0.0051633404 0.00655347 0.0019859 0.0012908351 0.002879555 0.0069506504 0.00019859002 0.0014894251 0.00119154 0.0044682752 0.000297885 0.010823156 0.03614338 0.07218747 0.00476616 0.020554066 0.023334326 0.015490021 0.00556052 0.00456757 0.01807169 0.019561116 9.929501e-05 0.00079436006 0.013603415 0.01310694 0.0015887201 0.0066527654 0.0066527654 0.000695065 0.009035845 0.010922451 0.016979447 0.015986497 0.021844901 0.018965347 0.0029788502 0.00019859002 0.00089365506 0.0017873101 0.0059577003 0.008042895 0.011716811 0.022440672 0.0017873101 0.02422798 0.0073478306 0.02323503 0.014794956 0.047760896 0.00556052 0.0048654554 0.002879555 0.020951247 0.0051633404 0.002283785 0.016681561 0.014497071 0.016681561 0.027802601 0.009234436 0.000297885 0.03276735 0.027306126 0.033859596 0.01211399 0.00575911 0.0014894251 0.0061562904 0.004071095 0.00079436006 0.0036739153 0.00119154 0.0034753252 0.0 0.0017873101 5.692839 0.0 0.0 0.0 2.0 137216.0 151552.0 1.0 4.0 125.0 1.0 1.0 0.0 1.0 0.0 2322357500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 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 13.0 10.0 0.0 6.0 1.0 97280.0 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 24576.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -97280.0 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 -5.3031626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.19214 0.0 0.0 0.0 0.0 5.0202174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4106073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.266 0.0 4.972124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24486.0 0.0 0.0 0.0 0.0 3360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96805.0 0.0 4336.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 123456.0 180.0 123620.0 4336.0 139264.0 3360.0 135168.0 0.0 0.0 936.0 147456.0 84.0 111216.0 0.0 0.0 0.0 0.0 40.0 105768.0 264.0 105504.0 0.0 0.0 1064.0 105808.0 0.0 0.0 0.0 0.0


Input: 0.009846455 0.00411172 0.0040143547 0.003922388 0.0040379465 0.0038622096 0.0039147907 0.003950378 0.004011756 0.0036390899 0.0037674438 0.003930985 0.0037654445 0.0038993962 0.0038935982 0.0040403455 0.0039433804 0.0035937063 0.0035823104 0.0037792395 0.0037492502 0.0037292575 0.0037930345 0.003983766 0.003641689 0.0036488865 0.0037440523 0.003892199 0.0038290215 0.0039461795 0.003866408 0.003967372 0.004002359 0.003655684 0.0036596826 0.0036478867 0.003758047 0.0035995042 0.0037742413 0.0038114279 0.003619897 0.0035685154 0.0036758767 0.0037828381 0.0036668798 0.0036530849 0.004008157 0.003979367 0.0038104283 0.0038006317 0.003708465 0.00433284 0.0037440523 0.0036966691 0.003808429 0.004002559 0.0036348915 0.0037902356 0.0038274222 0.0040413453 0.0038580112 0.0039675715 0.00399976 0.004042145 0.003907393 0.0040735337 0.0037076653 0.0038098285 0.0037652445 0.0038868007 0.0036702787 0.0037486504 0.003649686 0.003599904 0.0035869088 0.0037378543 0.0038174258 0.003744452 0.0037452518 0.0038346197 0.0038260226 0.0037984326 0.0036596826 0.0037448518 0.0037256589 0.00372226 0.0037590468 0.0038438162 0.0036932705 0.0037258586 0.0036434883 0.0037980326 0.004091927 0.003907793 0.0040573394 0.0041938904 0.0037562477 0.003763845 0.0037148627 0.003932584 0.0037396536 0.0039095925 0.0038816025 0.0039289854 0.0038038306 0.003714263 0.0036994682 0.0037670438 0.003883002 0.003874805 0.004130113 0.004263665 0.0038440162 0.003794434 0.003907993 0.004121716 0.004256068 0.0040273503 0.0038882003 0.0042604664 0.003894198 0.0039825663 0.003846815 0.004184094 0.004067136 0.0041235154 0.004122716 0.0042880564 0.0039211884 0.0039225877 0.003800032 0.0042494703 0.0035655163 0.003933184 0.0037118637 0.0038852014 0.0036596826 0.003964773 0.0037154625 0.0046735173 0.0036101004 0.0041003237 0.0037620456 0.0039655725 0.003872206 0.0037646447 0.0035383261 0.0038394178 0.0036009038 0.0037512495 0.003600104 0.003984166 0.0037710425 0.003813827 0.0036262944 0.0039627734 0.0036864728 0.0038616098 0.0038094285 0.0040399455 0.0038006317 0.0037176616 0.0036634812 0.0037530488 0.0036286938 0.0035839097 0.003700268 0.0037210605 0.003719661 0.0035887081 0.0035767125 0.003663681 0.003683274 0.0036644808 0.003802631 0.0040191533 0.003811028 0.0037214602 0.0037184614 0.0037756409 0.0036902714 0.0037098643 0.0037810388 0.00408373 0.0039297855 0.0039931624 0.0038564117 0.0040711346 0.0041037225 0.0040737335 0.004077532 0.0042732614 0.0039963615 0.0039351834 0.0037518493 0.004022352 0.0037644447 0.003794634 0.0038680076 0.003989364 0.0038018313 0.0038488144 0.00366648 0.0038792035 0.0037588468 0.003932584 0.0039297855 0.004097125 0.0039789677 0.003769843 0.003744452 0.0038414171 0.0036736776 0.003719861 0.003769843 0.00402755 0.003907993 0.0038714062 0.0037630454 0.0040209526 0.0039373827 0.004038946 0.004161902 0.004385421 0.0039623734 0.003907993 0.0038818025 0.003992363 0.0038392178 0.0039037946 0.003958975 0.0041671 0.004322444 0.0039127916 0.0037856372 0.004124715 0.003929585 0.003977368 0.004077332 0.004455196 0.004041145 0.0039625736 0.003989964 0.0041253148 0.003975369 0.0040097563 0.004014555 0.0043176454 0.004191291 0.0041543045 0.004085529 0.0041962895 0.00433304 0.0041904915 0.004321644 0.0052459114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015639399 3.5998617e-06 1.7999308e-06 3.6998579e-06 4.299835e-06 4.7998155e-06 7.599708e-06 4.6998193e-06 4.399831e-06 3.9998463e-07 6.999731e-07 1.4999424e-06 2.5999002e-06 7.9996926e-07 4.399831e-06 3.099881e-06 0.00010519596 9.999616e-07 1.4999424e-05 3.4998657e-06 1.899927e-06 1.7999308e-06 5.2397987e-05 2.3999079e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00065717474 2.2999116e-05 3.9998464e-05 3.2998734e-05 6.279759e-05 4.2098385e-05 0.00019129265 8.8396606e-05 1.5999385e-05 8.59967e-06 3.4998657e-06 3.799854e-06 2.839891e-05 2.499904e-06 3.4998657e-06 2.4699051e-05 0.0004759817 6.379755e-05 3.9098497e-05 8.209685e-05 8.84966e-05 3.6498597e-05 0.000104895975 8.409677e-05 9.89962e-06 5.1998004e-06 2.5999002e-06 5.1998004e-06 3.5998617e-06 2.8998886e-06 2.499904e-06 1.7099343e-05 0.00073847163 5.4597902e-05 6.589747e-05 5.109804e-05 0.00011839545 5.9197726e-05 0.00016769356 0.00015339411 4.8198148e-05 2.3299106e-05 7.999693e-06 1.4899428e-05 2.6198994e-05 1.0299605e-05 6.099766e-06 9.259644e-05 0.00018709281 7.599708e-06 5.2997966e-06 1.3499482e-05 2.5199033e-05 1.799931e-05 3.8398524e-05 1.8299297e-05 1.47994315e-05 3.2998732e-06 4.0998425e-06 6.6997427e-06 3.8398524e-05 3.6998579e-06 1.4099459e-05 1.1099573e-05 0.0002813892 2.1699167e-05 3.589862e-05 2.5999001e-05 6.119765e-05 2.9098883e-05 1.9099267e-05 4.369832e-05 0.00011269567 9.999616e-06 5.699781e-06 1.899927e-05 4.5898236e-05 1.8699282e-05 4.059844e-05 4.849814e-05 0.0032169765 0.00038958504 0.00032138766 0.00046428217 0.0006816738 0.0007701704 0.00025079036 0.00052807975 0.0019885236 0.00032178764 9.7596254e-05 0.0003959848 0.00076677056 0.00032658747 0.0007631707 0.0012089536 0.0013617477 0.00033208725 0.0002578901 0.00028108922 0.00032968735 0.00036088613 0.00024939043 0.0002940887 0.00063177577 0.00019429254 0.00016959349 0.00019739242 0.00035328642 0.00023399101 0.00032608747 0.00036568596 0.061344344 0.059796803 0.05908623 0.061113354 0.058915738 0.0598717 0.06068407 0.06337847 0.05962031 0.059959598 0.059002034 0.06203422 0.060775265 0.06201952 0.06304528 0.06539239 23112.0 6.1058326 141118.0 0.010353038 0.009339701 0.009998725 0.009360961 0.009233408 0.009679843 0.009580635 0.009771964 0.008935784 0.009084596 0.009183804 0.00955229 0.00930427 0.009169631 0.01184824 0.010062501 0.013088337 0.013187545 0.011068751 0.013704843 0.009672756 0.009375133 0.010452245 0.010466418 0.00907751 0.00972236 0.009034992 0.009793223 0.009141286 0.009580635 0.009424737 0.009396392 0.0089924745 0.010416814 0.0088649215 0.010813645 0.009906603 0.009899517 0.009616066 0.009616066 0.009049164 0.009148372 0.008872008 0.009467254 0.009616066 0.008949957 0.009254666 0.009353874 0.009956207 0.00989243 0.009566462 0.009949121 0.010012897 0.009445995 0.0093893055 0.009630239 0.009070423 0.0099774655 0.0096444115 0.009672756 0.017772362 0.009353874 0.010041242 0.012833232 0.009318443 0.012804886 0.01025383 0.015029975 0.010381383 0.01684406 0.012145864 0.010870336 0.009906603 0.01346391 0.008872008 0.009523945 0.0110900095 0.011770291 0.014200881 0.013733188 0.011309684 0.009601894 0.012415142 0.012734024 0.015150442 0.010764041 0.009169631 0.011387633 0.009771964 0.010721524 0.009346788 0.010282176 0.009559376 0.009431823 0.009679843 0.009771964 6.566446 1.0 0.0 0.0 64.0 5001800.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 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 0.0 4.0 0.0 4.0 0.0 81920.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.15645885 0.011519947 0.0049900785 0.004141069 0.011775825 0.0032477553 0.0029909727 0.002597059 0.012594394 0.0015982597 0.002102783 0.0017537758 0.008559113 0.00227156 0.0015235154 0.007902992 0.0071552484 0.008892749 0.0010286367 0.0009062732 0.008642899 0.00898196 0.0012863233 0.00088427187 0.0030126728 0.0013405731 0.0006681768 0.00086859975 0.0024505844 0.00064677827 0.00083544705 0.0010831879 0.004814972 0.0008062124 0.0012489512 0.000689274 0.0107568335 0.00073086546 0.0006268867 0.00051446905 0.0017688451 0.00087312056 0.000604584 0.0017923535 0.0016181513 0.00070193224 0.0009032593 0.00047197336 0.003562404 0.0018978391 0.0020807816 0.0061061173 0.002749561 0.0018402741 0.0017911479 0.0018134506 0.003100678 0.0024879565 0.0020822885 0.0044533066 0.0028098389 0.002162759 0.0018863864 0.0026015798 0.0051712124 0.0025729479 0.0023809639 0.0018276158 0.0048806746 0.01332948 0.0039412486 0.0021428675 0.002510862 0.0018420825 0.0013912062 0.00070253504 0.0025949492 0.0072453637 0.0017061565 0.0011895777 0.0128300795 0.0031461876 0.0058864057 0.0063858056 0.0024225553 0.0037076732 0.0054701893 0.0032694552 0.0015717376 0.0026850642 0.0005446078 0.0016118222 0.0015723403 0.004006951 0.003486153 0.006560912 0.0042100865 0.0067691705 0.0033993532 0.0048348634 0.00614138 0.006735415 0.004210991 0.0015681209 0.005412624 0.0036594511 0.0068788757 0.0011751112 0.0025759619 0.0010717352 0.0021684854 0.0027239432 0.0024303915 0.00065431296 0.0033342536 0.0028758426 0.01193315 0.016244201 0.0014394283 0.0012010304 0.001989461 0.0010973531 0.0005970493 0.000608502 0.0017830104 0.0021714994 0.0012564858 0.0015780667 0.0031163502 0.001170289 0.0005747466 0.013226707 0.003732387 0.009007578 0.002318878 0.0015415987 0.0034071894 0.0122242905 0.0029403397 0.038080655 0.0028568553 0.01751214 0.001450881 0.00075135985 0.0014975962 0.0003565418 0.00039210558 0.0010394866 0.0010822837 0.0008616678 0.0005373745 0.0004032569 0.0012308679 0.0004752886 0.00034358213 0.00043038183 0.0010006076 0.00047830248 0.00035262376 0.00043038183 0.0014617309 0.0018016965 0.0003640765 0.0010976545 0.0009855382 0.00060247426 0.00048975524 0.0003065114 0.0011639599 0.00038246115 0.0004388207 0.00039300974 0.0009909632 0.0003586515 0.0003713098 0.00040988746 0.0014288797 0.000455397 0.0005596772 0.0004535887 0.0013025982 0.0006817393 0.0011449724 0.0010723379 0.002936723 0.0006817393 0.00045841088 0.00045871228 0.00127909 0.00066305324 0.00064738106 0.0006841504 0.007408414 0.004010869 0.0036118317 0.0035750624 0.0057727825 0.00095660496 0.005506356 0.0068161874 0.0034517949 0.0027703568 0.0008692025 0.0013206814 0.017091101 0.00056208833 0.0020277372 0.001718212 0.0027034488 0.0009891549 0.0012269499 0.00066275185 0.0013267093 0.0005048246 0.0006042826 0.0005798702 0.0021754173 0.0013092287 0.0004674525 0.0011853584 0.0015973555 0.0010792698 0.0005880077 0.0005274287 0.0026268964 0.000980716 0.0009656466 0.0011642611 0.0020527525 0.0016223707 0.00055756746 0.00049668713 0.018746324 0.0049638576 0.0006163381 0.0036184622 0.0054014726 0.0005304426 0.0011094086 0.0022347907 0.008542235 0.004705267 0.0035922416 0.003002727 0.0036169554 0.0013833701 0.0024966968 0.0018080256 0.003618161 0.00175468 0.0010651046 0.0013520258 0.0062574144 0.0021850618 0.0034722893 0.07473273 0.002153171 1.6582568e-06 1.5075062e-07 0.0 0.0 1.8090074e-06 0.0 0.0 2.41201e-06 1.5075062e-07 0.0 0.0 1.5075062e-07 1.5075062e-07 0.0 1.5075062e-06 0.0002936622 3.6180147e-06 1.5075062e-07 0.0 0.0 2.1105086e-06 1.6582568e-06 0.0 3.919516e-06 0.0 0.0 1.5075062e-07 0.0 0.0 0.0 3.4672642e-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 0.0008114906 8.894286e-06 7.839032e-06 1.1607797e-05 8.894286e-06 4.6732694e-06 2.185884e-05 1.5678064e-05 1.8391574e-05 2.41201e-06 1.8090074e-06 2.2612592e-06 1.8090074e-06 1.959758e-06 3.3165136e-06 3.3165136e-06 0.0005166224 1.2361551e-05 9.195787e-06 4.221017e-06 7.2360294e-06 4.6732694e-06 1.8090073e-05 1.1607797e-05 5.427022e-06 1.5075062e-06 1.206005e-06 1.0552543e-06 5.125521e-06 3.0150125e-07 3.7687655e-06 1.5075062e-05 0.00094535714 4.82402e-05 1.6733318e-05 2.2612592e-05 1.35675555e-05 1.0854044e-05 2.1557338e-05 1.8090073e-05 1.206005e-05 5.879274e-06 5.7285233e-06 5.5777728e-06 9.497289e-06 4.9747705e-06 1.3115304e-05 8.110383e-05 0.0023649756 6.1958504e-05 0.000106128435 2.8793367e-05 5.095371e-05 3.66324e-05 0.0002216034 6.678252e-05 1.5979565e-05 3.7838407e-05 1.3266054e-05 9.64804e-06 3.829066e-05 2.1557338e-05 2.0049833e-05 0.00030165198 0.035960354 0.0010548021 0.0014649945 0.00046762842 0.0009848538 0.0012268085 0.0053968723 0.0015568016 0.00046446265 0.000912192 0.0003865246 0.00033994264 0.0003871276 0.00037717805 0.0004413978 0.0041507673 0.023020525 0.009670953 0.001224698 0.0006331526 0.0011995226 0.005035523 0.010186973 0.0038928331 0.0070797014 0.0007070204 0.00042089573 0.0004499906 0.00031913907 0.00036376124 0.0004389858 0.0153192775 0.0058385716 0.0065256925 0.00081073685 0.0009035992 0.0022302046 0.005477976 0.009879442 0.0069194534 0.00350058 0.00018436801 0.00016853919 0.00032140032 0.00014698185 0.00016356441 0.0015268022 0.015297118 0.007311405 0.0040414734 0.00088581064 0.00065546366 0.0016060971 0.00374359 0.005473152 0.003990821 0.00243417 0.00023517097 0.00031250602 0.0004008459 0.00030858652 0.00027587364 0.001237964 0.009075338 0.010628974 0.0022311092 0.0020903081 0.020981772 0.0022880929 0.0034098283 0.0036746971 0.0026830595 0.0019972948 0.0015399175 0.0016801156 0.0014271562 0.0017309185 0.0016365487 0.0016461967 0.002718938 0.013814485 0.0019377484 0.0020429725 0.0013591676 0.002937225 0.0030777247 0.0023725133 0.0023990453 0.005897666 0.00067174475 0.0006833525 0.00079686777 0.0036032412 0.00074877834 0.0019590042 0.0041702143 0.095467806 0.014983556 0.013262437 0.011684982 0.030817948 0.0285686 0.01759531 0.0188782 0.065584056 0.004358351 0.0052839597 0.0073992927 0.04509599 0.00846314 0.027860673 0.051129784 0.036502454 0.007918176 0.0067953854 0.006402077 0.013093746 0.014390654 0.008410829 0.010562945 0.026735472 0.0020556354 0.0024806014 0.003513394 0.015659371 0.0052471766 0.012369842 0.021131769 0.00033707838 0.00018768452 0.0001920563 0.0002689391 0.00019341304 0.00017652898 0.0002591403 0.00019823706 0.00018889052 0.00019522205 0.00017456921 0.00023336195 0.00017592598 0.0002197944 0.00017547372 0.0002197944 9466.0 15.91517 150653.0 0.022276357 0.0020643466 0.0016528048 0.0011815231 0.015127478 0.0014204829 0.001938229 0.0011815231 0.0058545135 0.0010288544 0.0011085076 0.0021174487 0.0061067487 0.0019714178 0.008383504 0.0013673807 0.018711874 0.013255627 0.0145433545 0.01357424 0.016647527 0.012671503 0.012319702 0.012001089 0.017835688 0.013859664 0.014390686 0.014875243 0.01774276 0.012525473 0.011735578 0.020955442 0.043835834 0.010852754 0.0022170153 0.007806018 0.010500953 0.0034715538 0.00467299 0.0034981049 0.007865758 0.0044141174 0.0008297213 0.0010885943 0.007135603 0.0024758882 0.0019780556 0.002137362 0.013262265 0.0029338945 0.0036308602 0.008117993 0.008801684 0.005137634 0.012983479 0.0073878383 0.0062726927 0.0026949346 0.0011947986 0.003033461 0.0057084826 0.0031263898 0.0033056096 0.018818079 0.005197374 0.027181668 0.010905856 0.019475218 0.020942165 0.048223402 0.007686538 0.009239776 0.011496618 0.026663924 0.0040888665 0.0033985383 0.026318759 0.011596184 0.024626128 0.03577758 0.017072344 0.0013076407 0.02925929 0.028177334 0.05033421 0.013381745 0.0054761604 0.0037901667 0.009392445 0.0052969404 0.0013209162 0.0008695479 0.0048322966 0.0007832569 0.0011416965 0.0011284209 5.9822106 4.0 21.0 0.0 8.0 3317984.0 3358720.0 1.0 0.0 570.0 1.0 1.0 1.0 1.0 0.0 1452672300.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 2206208.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -134144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 518656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2206208.0 0.0 381440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5470586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7183194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.127454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.615438 0.0 4.8482327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -133652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 518600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2205919.0 0.0 381096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 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 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 -3.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 1.0 2.0 0.0 2.0 1.0 1.0 2.0 0.0 1.0 1.0 2.0 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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -3.0 1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 2717132.0 381096.0 2838528.0 0.0 0.0 7392.0 3310592.0 133652.0 3223552.0 56.0 2215664.0 0.0 0.0 0.0 0.0 24.0 2463040.0 64.0 2462968.0 0.0 0.0 2364.0 2211840.0 160.0 2716276.0 0.0 0.0


Input: 0.05678027 0.008309611 0.00617567 0.005654893 0.0057482594 0.004962944 0.004194227 0.0054225144 0.0050542355 0.0056362194 0.0037460683 0.00446084 0.004945308 0.0031765332 0.004327015 0.0046434235 0.0050417865 0.0037595546 0.004931822 0.0041496186 0.004360212 0.003178608 0.00410916 0.003845659 0.0050791334 0.003340443 0.0031671964 0.0029265184 0.004153768 0.0034452209 0.0037875643 0.0037896393 0.0061767073 0.003817649 0.0034846424 0.0030229972 0.004888251 0.0041641425 0.0038363223 0.003720133 0.004727453 0.0038985668 0.003335256 0.003096653 0.0043726605 0.0037222079 0.0037211706 0.00358942 0.005518993 0.0039525116 0.0030976904 0.002894359 0.0036755246 0.003070718 0.0026858407 0.00285805 0.0041755536 0.0033124331 0.0035240636 0.0033560041 0.0039950456 0.0032263284 0.0035022781 0.0034535201 0.0065989313 0.0039576986 0.0036184674 0.0032242537 0.0041516935 0.0032149171 0.0035437744 0.0030676057 0.0049971784 0.003774078 0.0037076843 0.0035769714 0.00413302 0.0031288124 0.0035572606 0.0034670064 0.005165238 0.003627804 0.0036547766 0.0033362934 0.003924502 0.0033798644 0.0033643034 0.0035385874 0.0046465355 0.00364544 0.0038052003 0.0035157644 0.0041060476 0.0033892011 0.003692123 0.003784452 0.0059100944 0.003627804 0.0033414804 0.0029524537 0.004011644 0.0030561942 0.0032636751 0.0030292217 0.0049670935 0.0031692712 0.003204543 0.0030510072 0.0035831956 0.0028414514 0.0030956154 0.0031869072 0.0045137475 0.0032833857 0.0032252911 0.003140224 0.0038913048 0.0033394056 0.0032906476 0.0036298789 0.0046185255 0.0032906476 0.0034711561 0.0031620094 0.0040344666 0.0031920942 0.0034649316 0.0033342186 0.008651955 0.00459674 0.004017868 0.0035292506 0.004371623 0.0034400339 0.0030209224 0.0033892011 0.0045386455 0.003828023 0.0029534912 0.0031910567 0.0037284323 0.00280203 0.0028435262 0.002986688 0.0052482304 0.0032024682 0.0034908666 0.0030312964 0.0036620384 0.0031817202 0.0033103584 0.0032667874 0.0045490195 0.002835227 0.0030385582 0.002699327 0.003514727 0.003227366 0.002988763 0.0031526727 0.005006515 0.0034047621 0.0032771614 0.0027978804 0.0037803026 0.0030188477 0.0030572314 0.0031869072 0.004135095 0.0029929124 0.003119476 0.0030157354 0.0036412904 0.002835227 0.0029088827 0.0030395957 0.004670396 0.0031215507 0.003845659 0.002861162 0.0035603729 0.003150598 0.0029960247 0.0031205132 0.0042543965 0.0031443734 0.003340443 0.0031754957 0.0036495896 0.0031796454 0.0033176201 0.0033497796 0.0067275693 0.004066626 0.0037284323 0.0033362934 0.00410916 0.0032564132 0.0033051712 0.0032284034 0.0043290895 0.003324882 0.003112214 0.003068643 0.003638178 0.0029929124 0.0030779797 0.0027978804 0.0042471346 0.0032750864 0.0030842042 0.0029960247 0.0037076843 0.0030178102 0.0029337804 0.0029389674 0.0039774096 0.0031163637 0.0027345987 0.002640195 0.003530288 0.0029493414 0.0035821584 0.0028808727 0.004947383 0.0032367026 0.0033954254 0.002981501 0.0038207613 0.0030821292 0.003199356 0.0028985087 0.0044421665 0.0054567484 0.0034680439 0.003135037 0.0037875643 0.0030676057 0.0032387774 0.0031910567 0.0046133385 0.0033186574 0.0034244729 0.0030395957 0.0037460683 0.0030821292 0.0033103584 0.0032356651 0.0043498375 0.0030261094 0.0031858697 0.0028590872 0.004019943 0.003091466 0.0042232745 0.0045230845 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09924472 0.06201899 0.062448576 0.05530668 0.0606009 0.059550572 0.054955017 0.054449074 0.06047467 0.053169154 0.05211675 0.052950464 0.056406353 0.05052828 0.056642182 0.053818464 4020.0 5.7037315 22929.0 0.017139867 0.010467094 0.009333159 0.008678965 0.013432771 0.012473287 0.011775481 0.01147019 0.012604126 0.009725675 0.008504514 0.008591739 0.013999739 0.010597933 0.011775481 0.009900127 0.016790964 0.011862706 0.008722578 0.0075014173 0.009812901 0.008460901 0.0078067076 0.008373675 0.010292643 0.008504514 0.009594836 0.008809804 0.011513803 0.008984256 0.009638449 0.009245933 0.018012125 0.010990449 0.010379869 0.009115094 0.0108596105 0.00889703 0.010685159 0.008330062 0.014217802 0.011601029 0.009769288 0.008984256 0.011426577 0.009376772 0.011644642 0.009638449 0.01478477 0.009638449 0.0099437395 0.009158707 0.012080771 0.009376772 0.009551223 0.009769288 0.013694448 0.00920232 0.01055432 0.009551223 0.011121287 0.009812901 0.010379869 0.010685159 0.0179249 0.010990449 0.009682062 0.00815561 0.013083868 0.008242836 0.009376772 0.008330062 0.015482577 0.009289546 0.008940643 0.008678965 0.011339352 0.007981159 0.009900127 0.007893933 0.013214706 0.007937546 0.008722578 0.008766191 0.01147019 0.009463998 0.008242836 0.007981159 0.0108596105 0.008984256 0.011906319 0.008504514 0.011252126 0.009071481 0.0099437395 0.008766191 6.554665 0.0 0.0 0.0 14.0 963944.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.36419412 0.011103091 0.0071331523 0.007706352 0.009107507 0.0025900137 0.0016771399 0.002844769 0.0059018345 0.0016771399 0.0022078804 0.0013799253 0.0041610054 0.002568784 0.0011039402 0.0029721467 0.0061141304 0.00072180707 0.0007430367 0.00044582202 0.0027173914 0.003969939 0.00089164404 0.00042459238 0.002398947 0.00044582202 0.00046705164 0.0005731997 0.001613451 0.00072180707 0.0005944293 0.00072180707 0.015837297 0.0006581182 0.0006368886 0.00046705164 0.01670771 0.0006581182 0.0005731997 0.0005731997 0.0014648438 0.00046705164 0.00038213315 0.0020592732 0.0009341033 0.0011888586 0.0024201765 0.00042459238 0.0036727241 0.001507303 0.0021866509 0.0063901157 0.0023140286 0.0021017324 0.0014648438 0.0019318954 0.0026961616 0.0019955842 0.0016771399 0.0028235393 0.0019743547 0.0025263247 0.0015922214 0.0015497622 0.018257473 0.0024838655 0.0006581182 0.0016771399 0.006814708 0.001953125 0.002462636 0.0013799253 0.0014011549 0.0017620585 0.00027598505 0.00046705164 0.003226902 0.001507303 0.001231318 0.0014860734 0.007090693 0.003078295 0.0029509172 0.0042883833 0.0034816577 0.0018682065 0.0037576426 0.003396739 0.00082795514 0.0005731997 0.00016983696 0.0028659985 0.0015285326 0.0021866509 0.0038850203 0.0035665762 0.0009977921 0.006920856 0.00091287366 0.0028023098 0.0037151834 0.011272928 0.0031419836 0.0029084578 0.0097443955 0.007218071 0.004797894 0.0013586957 0.0039487095 0.0026961616 0.0067085596 0.009617018 0.0055409307 0.000106148094 0.009659477 0.004925272 0.015136719 0.008555537 0.0011039402 0.0021654211 0.0017408289 0.0015285326 0.00023352582 0.00040336276 0.002122962 0.0005731997 0.00042459238 0.0003184443 0.0067722485 0.0035665762 0.0010402513 0.014287534 0.0038850203 0.0050101904 0.0009765625 0.0009977921 0.0024838655 0.0028235393 0.0020805027 0.018321162 0.001167629 0.0068996265 0.00033967392 0.0022078804 0.0073454482 0.0013799253 0.00046705164 0.00021229619 0.001507303 0.00016983696 0.00012737772 0.00021229619 0.0005944293 6.368886e-05 0.00016983696 0.00012737772 0.0009977921 8.491848e-05 0.000106148094 0.00016983696 0.0007430367 0.0011463994 0.0008704144 0.001061481 0.0018045177 0.0012525476 0.00021229619 8.491848e-05 0.0009341033 0.00014860733 0.00029721466 0.00023352582 0.000615659 4.245924e-05 0.002016814 0.00012737772 0.0010190217 0.0011039402 0.0031844429 0.0015497622 0.0013374661 0.00082795514 0.0007642663 0.0007430367 0.0027386209 0.00070057745 0.00044582202 0.0022927988 0.0011888586 0.0003184443 0.00029721466 0.0019106658 0.008046025 0.002398947 0.0014436141 0.0045855977 0.0074515967 0.0005944293 0.0016771399 0.0023140286 0.001613451 0.002632473 0.0010827106 0.00016983696 0.011867357 0.00033967392 0.00040336276 0.00019106657 0.000615659 0.0022715693 0.00084918475 0.00027598505 0.00029721466 0.00050951086 0.00084918475 0.0007854959 0.0007642663 0.00027598505 0.0005307405 0.00084918475 0.00046705164 0.00025475543 0.00021229619 6.368886e-05 0.0021017324 0.0011888586 0.00036090353 4.245924e-05 0.00021229619 0.00012737772 0.00033967392 0.00027598505 0.0058381455 0.0014436141 0.00027598505 0.0018894362 0.0013586957 0.0005307405 0.00048828125 0.00038213315 0.0011888586 0.00040336276 0.0028235393 0.0024414062 0.00050951086 0.00042459238 0.0013374661 0.003460428 0.0025475544 0.0015285326 0.0009977921 0.00048828125 0.0009341033 0.0008067255 0.0009765625 0.025369395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017795138 0.000390625 0.00028211807 9.765625e-05 0.00031467015 0.000108506945 0.00066189235 0.00047743056 0.000390625 0.000108506945 7.5954864e-05 0.0012478299 6.510417e-05 4.340278e-05 6.510417e-05 9.765625e-05 0.048155382 0.00047743056 0.0004123264 0.001529948 0.0011393229 0.0007595486 0.0012261284 0.002235243 0.0018012152 9.765625e-05 0.00018446181 0.0025065104 0.0005967882 0.00016276042 0.0006184896 0.0047634547 0.03812934 0.0002061632 0.0036458333 0.00091145834 0.0014105903 0.0010416667 0.01078559 0.0065863715 0.0011393229 5.4253473e-05 3.2552085e-05 0.0008029514 0.00026041668 0.00011935764 0.00031467015 0.0012261284 0.12734374 0.0017903646 0.0119032115 0.003927951 0.006152344 0.004123264 0.036436632 0.019650608 0.002842882 0.00034722223 0.00043402778 0.0011827257 0.0006076389 0.00027126737 0.0005967882 0.0046115452 0.03330078 0.00068359374 0.0019314236 0.0092230905 0.0023111978 0.0011284723 0.0072157118 0.003841146 0.0007052951 0.0006727431 0.00068359374 0.0024956597 0.0006184896 0.0005859375 0.0005750868 0.00069444446 0.020410156 0.0007595486 0.0012044271 0.0005533854 0.0033311632 0.0018880208 0.006499566 0.0035915799 0.001812066 0.00045572917 0.00029296876 0.0010199653 0.0009874132 0.00027126737 0.000531684 0.00083550345 0.015798612 0.0007486979 0.0017035591 0.009168837 0.0023871528 0.0020073785 0.0026475694 0.0016276041 0.0020724826 0.0006293403 0.0007052951 0.00069444446 0.0016167535 0.00066189235 0.00068359374 0.0012912326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06534288 0.009852431 0.012727865 0.007172309 0.01654731 0.018012153 0.007986112 0.00890842 0.034375 0.0065429686 0.0046223956 0.005501302 0.020171441 0.004003906 0.0070421007 0.01563585 0.05169271 0.008984375 0.012434896 0.00625 0.014279514 0.01735026 0.0065755206 0.008561198 0.029318577 0.005110677 0.0047634547 0.005284288 0.022840712 0.003949653 0.0067599826 0.018066406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 275.0 11.210909 3083.0 0.033084657 0.0035679534 0.001621797 0.0009730782 0.012974376 0.0019461564 0.0009730782 0.001621797 0.001621797 0.0012974376 0.0012974376 0.0029192346 0.0025948752 0.0051897503 0.008433344 0.0012974376 0.019785922 0.012650016 0.007460266 0.01589361 0.009730781 0.011352579 0.013947453 0.010379501 0.010379501 0.011028219 0.008108985 0.008108985 0.009082063 0.005838469 0.0061628283 0.0051897503 0.0035679534 0.018812845 0.0038923128 0.01070386 0.014596173 0.009406422 0.008433344 0.012001297 0.0055141095 0.0071359067 0.0019461564 0.0025948752 0.009406422 0.0077846255 0.0051897503 0.0055141095 0.012650016 0.0038923128 0.012974376 0.01589361 0.0077846255 0.006487188 0.008108985 0.011676938 0.0022705158 0.001621797 0.0009730782 0.0025948752 0.0038923128 0.001621797 0.0022705158 0.003243594 0.003243594 0.034057736 0.004216672 0.012325657 0.019137204 0.0759001 0.007460266 0.017191047 0.013947453 0.034057736 0.008433344 0.001621797 0.029192345 0.013298735 0.034706455 0.038274407 0.013947453 0.0003243594 0.04249108 0.024975672 0.05416802 0.018164126 0.0051897503 0.0025948752 0.007460266 0.006811547 0.0009730782 0.0009730782 0.0019461564 0.0012974376 0.0006487188 0.0 5.8708744 1.0 0.0 0.0 1.0 47104.0 69632.0 0.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 842317700.0 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 3.0 10.0 4.0 0.0 4.0 0.0 22528.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 0.0 512.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 -2560.0 13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3140635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1815407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2163458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3196197 -4.4894915 3.6266217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 -2560.0 13484.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53.0 28832.0 120.0 45056.0 13484.0 49152.0 0.0 0.0 0.0 0.0 1596.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324.0 45500.0 0.0 0.0 0.0 0.0