Input: 0.19242741 0.011584413 0.0060619293 0.0054993955 0.009908358 0.0033500134 0.0026195594 0.0026321535 0.012010512 0.0027580939 0.0022165503 0.0017295809 0.008178776 0.002140986 0.0012090274 0.00857339 0.006516364 0.0012961362 0.001085186 0.0009277606 0.003572508 0.0025807277 0.0010998792 0.00072940456 0.0029973804 0.0009067705 0.0006401968 0.00094875065 0.002136788 0.0006024147 0.0006821769 0.0008165133 0.0077526784 0.00059821666 0.0010946316 0.0009676417 0.008752855 0.0020423327 0.0005856227 0.0006433453 0.0016130861 0.00058667216 0.0005184545 0.001917442 0.0016057395 0.0013013837 0.0013024332 0.00062445423 0.003689003 0.0017316799 0.002333045 0.007732738 0.00282946 0.0019310855 0.0018933034 0.0018366302 0.002884034 0.0023886687 0.0022196989 0.0036344288 0.0027927274 0.0022732234 0.0015920959 0.002145184 0.0045139124 0.0038390819 0.0025912228 0.0027371037 0.005487851 0.013232133 0.0038044483 0.001955224 0.002873539 0.0025754801 0.003935636 0.00375827 0.008218657 0.011818453 0.0016529672 0.0013790469 0.009807605 0.0039450815 0.0024883715 0.003393043 0.0027843313 0.007206937 0.0044393977 0.0034255777 0.0013811459 0.0028535984 0.0007126125 0.0025492427 0.0018061945 0.0048109214 0.00367431 0.0033374194 0.0013087302 0.003914646 0.0010946316 0.002647896 0.00466609 0.007338125 0.003008925 0.001247859 0.0052254754 0.004206408 0.00519399 0.0010421565 0.0037341316 0.0016823532 0.004296665 0.0046902285 0.0034476172 0.00058772165 0.004949456 0.00439217 0.012875303 0.009144319 0.001598393 0.0014892448 0.0018072441 0.001623581 0.000724157 0.00041245465 0.0015543139 0.0022291443 0.0011534038 0.0013884924 0.0032754987 0.001959422 0.0006569888 0.014841021 0.003712092 0.010415267 0.0019100953 0.0009791863 0.0020255407 0.012484888 0.0016855018 0.039998658 0.0012027303 0.011276909 0.0008511469 0.0010799385 0.0019415804 0.0004964149 0.0004302962 0.0006527908 0.0011911859 0.0012982351 0.000529999 0.0004271477 0.001036909 0.00066958286 0.00043659323 0.0004890684 0.0009581962 0.0007598401 0.0006076622 0.00082910736 0.0016193831 0.0020748673 0.0006013652 0.0011859384 0.001241562 0.0005698801 0.0005457415 0.00043344471 0.0013926905 0.0004712268 0.00051320693 0.00047857335 0.0010967306 0.00044813775 0.0004554843 0.00043134572 0.001594195 0.0012688491 0.00042924672 0.000536296 0.001239463 0.00093720615 0.0020528277 0.0011953838 0.0029144697 0.0009980773 0.0010442554 0.00054049405 0.0011040771 0.0008249093 0.0010631465 0.0006370483 0.008935468 0.003971319 0.0027255593 0.005581257 0.0071691545 0.0010337604 0.0039429828 0.0058331373 0.0029365092 0.0021714217 0.001091483 0.0011219187 0.022012275 0.0010484535 0.0016130861 0.0011093246 0.0022406888 0.001059998 0.0014157795 0.00079762226 0.0014535616 0.0004250487 0.00089732505 0.00069687 0.002168273 0.00090467156 0.0006884739 0.0013055817 0.0013717003 0.000536296 0.0005394445 0.00052370195 0.0024568865 0.00085534493 0.00073150353 0.00054154353 0.0020129466 0.0030802912 0.00052055344 0.0005100584 0.01686866 0.003361558 0.00082281034 0.004022745 0.0054427222 0.00041035566 0.00043344471 0.000709464 0.0040279925 0.0011082751 0.00066013733 0.0010327109 0.0028473015 0.00055938505 0.002460035 0.0019940557 0.0057691177 0.0017369274 0.0012929876 0.0017705115 0.008093767 0.0031054793 0.0042284476 0.06024357 0.0042715413 0.0 0.0 1.5767963e-06 1.0511975e-06 1.5767963e-06 1.26143705e-05 1.0511975e-06 1.0511975e-06 9.460778e-06 5.2559876e-06 5.2559875e-07 0.0 0.0 0.0 0.0 0.0030374352 2.575434e-05 8.40958e-06 8.40958e-06 6.832784e-06 1.6293561e-05 1.7344759e-05 2.6279938e-06 8.40958e-06 1.1037574e-05 1.0511975e-05 2.102395e-06 1.0511975e-06 2.102395e-06 3.6791914e-06 6.727664e-05 0.0009960097 1.0511975e-06 1.5767963e-06 5.2559875e-07 1.0511975e-06 1.1563173e-05 1.1037574e-05 5.7815864e-06 6.3071852e-06 1.1037574e-05 9.460778e-06 5.7815864e-06 1.5767963e-06 5.2559875e-07 2.6279938e-06 1.0511975e-05 0.003785888 0.00015610283 1.9447154e-05 1.3665568e-05 2.7331136e-05 4.0471106e-05 2.2075148e-05 3.416392e-05 3.2587122e-05 1.681916e-05 2.3651945e-05 2.154955e-05 1.2088772e-05 1.6293561e-05 1.3665568e-05 6.9904636e-05 0.00631139 9.197978e-05 6.780224e-05 4.572709e-05 0.00011563173 0.00018028037 8.56726e-05 8.777499e-05 8.67238e-05 3.1535925e-05 2.995913e-05 2.3651945e-05 3.363832e-05 2.4703142e-05 3.5740715e-05 0.00028277215 0.0016566874 6.832784e-05 7.148143e-05 2.102395e-06 6.780224e-05 3.3112723e-05 1.3665568e-05 1.0511975e-05 9.565897e-05 2.6805537e-05 7.358383e-06 1.681916e-05 1.4716766e-05 7.883981e-06 1.9972753e-05 3.9945506e-05 0.0067718145 0.000255441 0.0002123419 6.4648644e-05 0.00054084114 0.00010406855 0.000423107 0.00041101823 7.200703e-05 2.9433531e-05 5.0457482e-05 2.8382334e-05 0.000108798944 3.5740715e-05 5.991826e-05 0.0005198172 0.021072306 0.00051561237 0.0010049448 0.000247557 0.001989917 0.000598657 0.003039012 0.0016750833 0.00019867634 0.00032902483 0.00012929729 0.00013718128 0.0002932841 0.0003384856 0.00040733904 0.002469263 0.029227495 0.000588145 0.0026689905 0.0015147757 0.0042042644 0.0022201291 0.009798212 0.0053448137 0.0002517618 0.00018711315 0.00018553637 0.00013560448 0.00014769325 0.00023126346 0.00025964578 0.0011615732 0.017730024 0.00055450667 0.004368777 0.0016903257 0.0043782378 0.002064552 0.011655153 0.0063881273 0.00039262229 0.00024703142 0.00027646494 0.00021759789 0.0002601714 0.00026332497 0.00030537287 0.00087617314 0.0076348474 0.0003284992 0.0018774387 0.00096815295 0.004252094 0.0020414256 0.0070535354 0.004261029 0.00027173455 0.00059918256 0.0002622738 0.00027751614 0.00014716765 0.00027646494 0.00014348846 0.0018979372 0.013413806 0.0018616709 0.0020256576 0.018689767 0.0038021815 0.0023662457 0.0036686794 0.0025065804 0.0033107465 0.0023299793 0.0020240808 0.0020077873 0.0024240615 0.0021381357 0.0018968859 0.0065778685 0.032107253 0.003751724 0.0026490178 0.0034547606 0.012221223 0.009377208 0.0034474023 0.0039504003 0.020615034 0.0022075148 0.0028850115 0.0028250935 0.011844894 0.0026490178 0.0072669284 0.020835787 0.09861967 0.01429103 0.011807576 0.0126169985 0.033140577 0.030470012 0.011889044 0.018002283 0.06530722 0.0053532235 0.0057421667 0.010031052 0.045948897 0.008014856 0.025256071 0.053455498 0.026052354 0.0050599393 0.005138779 0.004201111 0.009704656 0.0091512 0.0042068926 0.006734497 0.017848808 0.0013539424 0.0018995139 0.002648492 0.011142168 0.0030148346 0.007146041 0.012791497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4130.0 17.125423 70728.0 0.05867549 0.0011028164 0.0016683633 0.0011593711 0.009232553 0.013361045 0.00079176563 0.002757041 0.004015383 0.0021208008 0.000820043 0.0010321231 0.00458093 0.003449836 0.008073182 0.0021773556 0.011621988 0.0076207444 0.010406063 0.010080873 0.01107058 0.0087518385 0.008158014 0.00766316 0.009670852 0.008129736 0.01139577 0.008610452 0.009571881 0.008101459 0.0062775705 0.010618143 0.019327564 0.009713268 0.003492252 0.01181993 0.009274969 0.0061361836 0.0055989143 0.0028277345 0.007592467 0.0057403008 0.0014421445 0.0029267052 0.006348264 0.0048071486 0.0041284924 0.0041002147 0.018776156 0.0020783849 0.0046799006 0.011084719 0.009939486 0.0036477775 0.008285262 0.006221016 0.0033367267 0.0020359687 0.0013431739 0.0037184707 0.002841873 0.0015269766 0.0018663047 0.006221016 0.0028560117 0.032123063 0.0065320665 0.023979187 0.028447008 0.0640906 0.009854655 0.008228707 0.012936885 0.033268295 0.00404366 0.0045950683 0.02768352 0.012286506 0.035488065 0.041963577 0.022593599 0.0015976699 0.03865513 0.031557515 0.05088508 0.015495985 0.005259586 0.005768578 0.00564133 0.010844361 0.0020359687 0.00059382425 0.0025732382 0.0005089922 0.0007069336 0.0012583418 5.852711 1.0 1.0 0.0 4.0 952832.0 978944.0 0.0 0.0 222.0 1.0 1.0 0.0 0.0 0.0 1542359400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 650752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -35328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 174080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -650752.0 0.0 73216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6517086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.851415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.951853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5322046 0.0 4.7019153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 174040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -650657.0 0.0 73144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 824396.0 73144.0 868352.0 0.0 0.0 0.0 0.0 35136.0 942080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 786984.0 0.0 0.0 988.0 655360.0 0.0 0.0 0.0 0.0


Input: 0.037662804 0.0059647015 0.005000791 0.0037653996 0.0038592042 0.0034421904 0.00298713 0.0038496456 0.0041054767 0.0030855266 0.002941774 0.0031274154 0.0033339544 0.0029746667 0.0030015616 0.0058104536 0.0035252185 0.0029675446 0.002745262 0.0035952204 0.0028920134 0.0032269363 0.0025351623 0.0035036649 0.003021147 0.0028155453 0.0027120884 0.0030379214 0.003399833 0.0032286232 0.0035669198 0.0045525716 0.0039449497 0.002911974 0.0027108702 0.0029558307 0.004507215 0.0026544563 0.0026630776 0.003404425 0.003070158 0.0027286753 0.0026058203 0.0030058722 0.0026030089 0.0029037273 0.0032714491 0.003919554 0.0032443667 0.0030397957 0.0027658786 0.0039092456 0.0028171386 0.002984881 0.00287046 0.0036230525 0.0037500309 0.0034078923 0.003368065 0.0039606933 0.004163952 0.004017201 0.0042775297 0.0056003537 0.0033697519 0.003427103 0.0029474904 0.0032665762 0.0036292374 0.0040500932 0.0027711263 0.0036003746 0.007001145 0.0034616822 0.0027667219 0.0031932006 0.0038995936 0.0036315804 0.0031373487 0.0041456786 0.0037166697 0.0028134838 0.0028170447 0.0034534358 0.0029134734 0.0031795187 0.002837099 0.0040127966 0.0028296958 0.0028855475 0.0027092772 0.0034149205 0.0038996872 0.0038634213 0.0038024154 0.004962744 0.002745356 0.003120106 0.002629904 0.0036966156 0.0028843293 0.0038853495 0.0033215845 0.0038770093 0.0031564657 0.003347355 0.0038328713 0.0034938252 0.003203696 0.003472178 0.0034684294 0.0049247914 0.0033931797 0.003928644 0.0045717824 0.004446772 0.004252884 0.0049001453 0.0032106307 0.0042380774 0.0037468448 0.0045305495 0.0035456473 0.0044844435 0.004545262 0.004964525 0.004769606 0.006582069 0.003071095 0.0031825174 0.0025730215 0.0042227088 0.0034618697 0.0040986356 0.0027226778 0.0034320697 0.0030678152 0.0048235836 0.002838411 0.008744075 0.0030321113 0.006813442 0.0035494894 0.0040947 0.0030388585 0.0027938045 0.0025200748 0.0030382962 0.002802051 0.002905789 0.0027853705 0.003634579 0.002852936 0.0028904204 0.0027550082 0.0032495207 0.003469273 0.0034701163 0.0042192414 0.005118117 0.0026220323 0.0030197415 0.0025231673 0.002920408 0.002721647 0.0028716782 0.002812734 0.0036107765 0.0028862034 0.0031562783 0.0028473134 0.0032978756 0.0029243438 0.0032738857 0.0038976257 0.004497188 0.0026702934 0.0030367032 0.0026019781 0.0033805287 0.002901572 0.0033783733 0.003413421 0.0041446476 0.0037649309 0.003700083 0.0036458243 0.0036808723 0.003985995 0.004123469 0.0047201267 0.0059766965 0.0043423777 0.0032824134 0.0029607974 0.003481268 0.0035055391 0.0032329338 0.0039118696 0.005013348 0.0033092147 0.003147001 0.0031004266 0.0036197726 0.0045908056 0.0034221364 0.004033413 0.005528196 0.0030352038 0.0028200436 0.002982913 0.0034394728 0.003418013 0.0033576633 0.003712453 0.004768013 0.0032791335 0.0032859743 0.0032004162 0.0038418677 0.0036703767 0.003681903 0.004375739 0.0060704076 0.00377627 0.00326592 0.0037792688 0.004625947 0.003656601 0.0037475007 0.00382753 0.005430081 0.0055684918 0.0037466574 0.003985058 0.0052044247 0.0037606203 0.0037341937 0.004049531 0.005873146 0.0039569447 0.004542263 0.0042091208 0.0053396495 0.0036879943 0.004823021 0.0042044353 0.006074531 0.005129175 0.005157663 0.0051931795 0.006097771 0.006310214 0.0063010305 0.0069720945 0.01878764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007662548 0.0 0.0 0.0 0.0 1.4058002e-06 9.372001e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1715001e-05 0.0 1.3870562e-05 0.00016466605 0.0 0.0 0.0 0.0 1.5932402e-06 9.372001e-08 0.0 0.0 0.0 0.0 0.0 9.372001e-08 1.7338201e-05 0.0 0.0 7.666297e-05 0.0 0.0 4.2174005e-07 7.497601e-07 7.029001e-07 0.0 0.0 0.0009838258 1.9118883e-05 1.8228542e-05 1.2980221e-05 1.3401961e-05 3.0505864e-05 1.0496641e-05 3.8144044e-05 7.5960066e-05 4.3579803e-06 6.0449406e-06 5.1077404e-06 6.7009805e-06 6.8884206e-06 5.3420404e-06 1.0496641e-05 0.0026623511 0.00040660426 0.00015679358 6.3682746e-05 3.7862883e-05 4.1424246e-05 5.3326687e-05 9.020551e-05 1.9353181e-05 3.2099102e-05 1.8134822e-05 6.401077e-05 3.1630505e-05 1.6026122e-05 9.109585e-05 5.4170167e-05 0.0029083192 0.00020552798 0.00013547228 0.00013341043 0.00015773077 9.953065e-05 0.00020449706 0.0004568382 0.00015491918 2.7600543e-05 1.3355101e-05 0.00012216403 0.00012352297 2.9615523e-05 6.2370666e-05 5.9559065e-05 0.010585066 0.00032399007 0.0008734705 0.00029118807 0.00058050174 0.00046649136 0.002747121 0.00213288 5.1077404e-05 6.6119464e-05 8.6316126e-05 0.00018341005 0.00016747766 0.00013589402 0.00015173269 0.00015918343 0.0035891952 0.00022577151 0.00022816137 0.0001304114 0.00025796433 0.00013219207 0.00050810305 0.0004360792 4.5688506e-05 5.2904947e-05 9.587557e-05 0.000113729235 0.00016682161 7.132093e-05 0.000117946634 0.00016180759 0.0026689116 0.00018134822 0.00016068296 0.00013565972 0.0003256302 0.0002561368 0.000975391 0.0005642882 0.00011443213 8.687845e-05 0.00011087077 7.474171e-05 6.733782e-05 7.328905e-05 5.8387566e-05 0.00019207915 0.0018200426 0.00015520034 0.00010262341 0.00010388863 0.000110121015 0.00011654083 0.0001718825 0.00013903364 7.239871e-05 6.907165e-05 7.5116586e-05 8.4160565e-05 7.324219e-05 8.814367e-05 8.359825e-05 0.00018982988 0.0018566871 0.00017197622 0.00017628734 0.0012039741 0.00023743964 0.00017413178 0.00022445942 0.00020159174 0.00027295953 0.00016888346 0.00020637146 0.00017277284 0.00021672752 0.00018158252 0.00019292264 0.00038729794 0.0034827762 0.0003635868 0.00037623898 0.0003763327 0.001226092 0.00036054087 0.0005185997 0.0003914216 0.0016027996 0.0001943753 0.00016818056 0.00034934134 0.0007228156 0.00031091613 0.00055313547 0.0016707935 0.017562192 0.002265728 0.0031936031 0.0025203186 0.009732917 0.0031789828 0.002941215 0.0030141291 0.012064155 0.0011078174 0.00082417374 0.0019523284 0.005523998 0.0019758989 0.0041269604 0.009685447 0.0031342313 0.00064329413 0.0006810165 0.00079071574 0.0017798835 0.00091381697 0.00070758606 0.0007872012 0.0019871453 0.00027225664 0.00025557447 0.00038308054 0.0011896818 0.00051616295 0.00092323584 0.001637804 0.043627273 0.04636451 0.04375717 0.05203724 0.04384119 0.04831121 0.04599675 0.061847053 0.04626259 0.0494635 0.0480256 0.055623904 0.052194268 0.055533886 0.06166889 0.08258509 36606.0 6.435475 235577.0 0.013227098 0.007712977 0.007853059 0.0066772224 0.012951179 0.0064649773 0.006566855 0.008527997 0.007347916 0.006732406 0.006031998 0.0062187733 0.006490447 0.006617794 0.00987363 0.009775997 0.010421221 0.010136813 0.007971915 0.011274445 0.008383671 0.00821812 0.008375181 0.009211426 0.009742037 0.009886364 0.009003426 0.010060404 0.011681955 0.011282935 0.012586119 0.013638853 0.00964865 0.014394444 0.008697793 0.01046367 0.010646201 0.010323589 0.008345467 0.010374527 0.011240486 0.008566202 0.006524406 0.006719671 0.009470364 0.008022854 0.008994936 0.011983343 0.010153793 0.0076577934 0.008786936 0.010599507 0.00965714 0.008723263 0.008820895 0.013091261 0.0074328138 0.0069064465 0.007263018 0.008048324 0.011308405 0.010501874 0.01129567 0.018919503 0.007645059 0.014504812 0.00820114 0.01312522 0.011877221 0.02071934 0.010306609 0.010892404 0.009444895 0.014886852 0.00800163 0.008078038 0.012569139 0.010794772 0.014691587 0.017501708 0.011698935 0.009835426 0.01536228 0.013405384 0.01883885 0.01271771 0.010391506 0.010926364 0.009809956 0.011469711 0.00884212 0.018176647 0.011533384 0.012798363 0.01275167 0.013672812 6.529027 2.0 52.0 0.0 81.0 10671112.0 10678272.0 1.0 0.0 453.0 1.0 1.0 1.0 0.0 0.0 1541757700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 5.0 1.0 5.0 1.0 529408.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 234496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529408.0 0.0 9868800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1041923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.697649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4541154 0.0 7.9128213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 234448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529022.0 0.0 9868336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 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 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 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 -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 1.0 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 -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 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 1.0 1.0 -1.0 -1.0 1.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 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 -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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 -2.0 -1.0 0.0 1.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 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 -2.0 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 -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 -1.0 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 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 3.0 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 1.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 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 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 759740.0 9868336.0 782336.0 0.0 0.0 11272.0 10659840.0 22592.0 10653696.0 112.0 740256.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 740368.0 0.0 0.0 1912.0 536576.0 0.0 0.0 0.0 0.0


Input: 0.056665637 0.0082949065 0.006169414 0.005649688 0.005750113 0.004968454 0.0041930065 0.0054198494 0.005047138 0.005632088 0.003743682 0.004460117 0.004954995 0.0031752966 0.0043286323 0.0046361196 0.005046102 0.0037612822 0.0049301474 0.0041536647 0.0043555503 0.0031742614 0.0041060406 0.003847213 0.00507095 0.0033461228 0.0031576965 0.0029278575 0.0041495236 0.003443442 0.003787165 0.0037882004 0.0061683785 0.0038213304 0.0034848545 0.0030241413 0.004881488 0.0041619474 0.00383686 0.0037229757 0.0047282623 0.003893802 0.0033316286 0.0030986837 0.0043659033 0.0037074462 0.003730223 0.0035956327 0.0055161333 0.0039517796 0.0031090367 0.0028936923 0.0036784576 0.0030769422 0.0026855948 0.0028512445 0.0041723005 0.003309887 0.0035283375 0.0033471582 0.0039952626 0.003230168 0.0035086665 0.003453795 0.0065918206 0.0039559207 0.0036194448 0.003222921 0.0041567707 0.0032177444 0.003546973 0.0030665891 0.0050067604 0.003776812 0.0037084816 0.003580103 0.0041319234 0.0031307784 0.0035480084 0.0034641481 0.0051672338 0.0036339392 0.0036536101 0.0033368052 0.0039227908 0.0033823587 0.0033595818 0.0035345494 0.0046485434 0.0036484334 0.0038058006 0.003513843 0.0041060406 0.0033947825 0.0036898458 0.003790271 0.0059136925 0.0036329038 0.0033450876 0.0029516697 0.004007686 0.0030541653 0.0032550155 0.0030324238 0.0049560303 0.0031711555 0.0032115325 0.0030552007 0.0035842443 0.0028367501 0.0030945425 0.0031887556 0.004508776 0.0032746864 0.003226027 0.0031411315 0.003890696 0.0033512993 0.0032891808 0.0036349744 0.0046226606 0.003293322 0.0034786426 0.003176332 0.0040366747 0.003200144 0.0034724306 0.003339911 0.0086407 0.0045957426 0.0040159686 0.00353662 0.00438661 0.0034320536 0.0030220707 0.0033978883 0.0045356946 0.0038296129 0.0029547755 0.003197038 0.0037291877 0.0027974085 0.0028512445 0.0029868702 0.0052407407 0.0032022148 0.0034910664 0.0030324238 0.0036598218 0.0031856499 0.003309887 0.003266404 0.004545012 0.002842962 0.0030417417 0.0027094071 0.003516949 0.0032312034 0.0029920468 0.0031545905 0.005008831 0.0034082416 0.003276757 0.0027943025 0.0037819885 0.0030282827 0.0030676243 0.0031949675 0.0041350294 0.0029982587 0.0031276725 0.0030137883 0.0036360098 0.002846068 0.0029133633 0.0030417417 0.0046661436 0.0031183546 0.0038461778 0.002859527 0.003566644 0.0031452726 0.0029972233 0.003126637 0.0042561605 0.0031514845 0.0033326638 0.003173226 0.0036536101 0.003183579 0.0033254167 0.0033626878 0.0067108814 0.0040594516 0.0037198698 0.0033357698 0.0041112173 0.0032519097 0.0033047104 0.0032312034 0.0043358793 0.0033295578 0.0031183546 0.0030821187 0.0036463628 0.0029920468 0.0030748716 0.0027984437 0.0042592664 0.003276757 0.0030904012 0.0030023998 0.003713658 0.0030106823 0.0029319988 0.0029433873 0.0039797327 0.003110072 0.0027321838 0.0026379707 0.0035314434 0.002946493 0.0035728558 0.002882304 0.0049498184 0.0032384505 0.0033937471 0.0029785878 0.003813048 0.0030717656 0.0031991089 0.00290301 0.004438375 0.005451944 0.0034713955 0.003139061 0.003790271 0.0030634832 0.0032384505 0.0031815085 0.004607131 0.0033129929 0.0034320536 0.0030407063 0.0037447172 0.003083154 0.003309887 0.0032405213 0.0043462324 0.0030313886 0.0031908264 0.002862633 0.004013898 0.0031007542 0.0042157834 0.004513953 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09914805 0.062010683 0.06243106 0.055313144 0.060609594 0.059573423 0.054955486 0.054501414 0.06049245 0.053195704 0.05217456 0.05297437 0.05642292 0.05054229 0.056627147 0.05382601 4024.0 5.704274 22954.0 0.017164765 0.010455694 0.009322993 0.008625948 0.013505272 0.012503267 0.01171909 0.011501264 0.0126339635 0.009715082 0.008495252 0.008582382 0.013853795 0.010499259 0.011849786 0.009932909 0.016859807 0.011893352 0.008669513 0.0074932473 0.009802213 0.008538817 0.007841771 0.00832099 0.010237867 0.008495252 0.0095408205 0.0088002095 0.011501264 0.008974471 0.009671517 0.009235863 0.018123202 0.010891348 0.010412129 0.009148732 0.010847783 0.008974471 0.0107170865 0.008277425 0.014202317 0.011588395 0.0097586475 0.008974471 0.011414133 0.009366559 0.011631959 0.009584386 0.0147686675 0.009627951 0.009932909 0.009061601 0.012111179 0.009410124 0.009584386 0.009802213 0.013723099 0.009192297 0.010542825 0.009584386 0.011109175 0.009802213 0.010455694 0.010673521 0.017948942 0.010978479 0.009671517 0.008146728 0.013113183 0.008277425 0.009366559 0.00832099 0.015422149 0.009279428 0.00888734 0.008713079 0.011414133 0.008016032 0.009932909 0.007841771 0.013156748 0.008016032 0.008669513 0.0088002095 0.011457698 0.009410124 0.008146728 0.007928901 0.0109349135 0.008930906 0.011849786 0.008625948 0.011283437 0.009148732 0.010063605 0.008713079 6.554496 0.0 0.0 0.0 14.0 965894.0 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: 0.056723777 0.00830238 0.0061809258 0.005661703 0.005752904 0.0049611153 0.004203527 0.005418156 0.005052316 0.0056233574 0.0037537413 0.0044719474 0.004958006 0.0031702635 0.0043196008 0.0046388037 0.0050336616 0.0037661777 0.00493417 0.004164145 0.004350692 0.0031702635 0.004109217 0.0038407966 0.005072007 0.0033568107 0.0031640453 0.0029308614 0.0041558538 0.0034397205 0.0037889779 0.003797269 0.006175744 0.0038200691 0.0034884298 0.0030251713 0.004905151 0.0041631083 0.0038470149 0.0037236866 0.0047206767 0.0038926152 0.0033257194 0.0030925355 0.0043724556 0.0037236866 0.0037257592 0.0035837763 0.0055124653 0.0039485795 0.0031070448 0.0029059886 0.0036739407 0.003073881 0.0026852412 0.0028666065 0.0041693267 0.003308101 0.0035226303 0.003357847 0.0040076524 0.0032293368 0.003508121 0.0034511206 0.006601693 0.0039454703 0.0036283403 0.0032251913 0.0041610356 0.0032200094 0.0035443942 0.0030604082 0.0050004977 0.0037744688 0.0037071046 0.0035899945 0.00412269 0.003126736 0.0035589032 0.0034687389 0.0051704627 0.0036283403 0.0036594314 0.0033391924 0.0039257794 0.0033765016 0.003366138 0.0035329938 0.004648131 0.0036449223 0.0038055598 0.0035060483 0.0041143987 0.0033868654 0.0036905226 0.0037817233 0.0059135417 0.0036335222 0.003338156 0.002951589 0.0040045436 0.0030510807 0.003268719 0.0030365714 0.004977697 0.0031640453 0.0032034274 0.0030479715 0.003577558 0.0028355152 0.0030832083 0.0031920273 0.0045030387 0.0032863372 0.0032293368 0.0031443543 0.0038926152 0.0033340105 0.0032904828 0.0036262674 0.004623258 0.0032863372 0.0034832482 0.0031681908 0.0040325257 0.003187882 0.0034728844 0.0033485196 0.00864542 0.004600458 0.00401698 0.0035205574 0.004362092 0.0034366113 0.0030179168 0.0033868654 0.0045362026 0.0038397603 0.0029609164 0.003190991 0.0037330138 0.0027950967 0.0028531335 0.0029785347 0.0052284994 0.0032034274 0.0034946483 0.0030262077 0.0036573587 0.0031775183 0.0033174285 0.0032645734 0.004539312 0.002845879 0.0030396807 0.0027049324 0.003516412 0.003224155 0.0029816437 0.0031526452 0.005009825 0.0034086292 0.0032718282 0.0027950967 0.0037775778 0.0030106623 0.0030583353 0.0031837365 0.004136163 0.0029971893 0.0031194813 0.0030106623 0.003641813 0.0028386244 0.0029204977 0.0030282806 0.0046647126 0.0031153357 0.0038459785 0.00285417 0.0035630488 0.0031526452 0.0029868255 0.0031225905 0.0042501637 0.003146427 0.003338156 0.0031806272 0.0036532131 0.0031920273 0.0033329742 0.0033433377 0.0067115487 0.004069835 0.003719541 0.0033319376 0.0041102534 0.003252137 0.003304992 0.003224155 0.0043310006 0.003329865 0.0031122267 0.0030832083 0.0036480313 0.0029857892 0.0030873537 0.0027919875 0.0042408365 0.00327701 0.0030873537 0.0030013348 0.0037091773 0.0030262077 0.0029370796 0.00294848 0.0039786343 0.003110154 0.0027225506 0.0026417135 0.0035278122 0.0029443344 0.0035754852 0.0028894066 0.004958006 0.0032272642 0.0034013747 0.0029692072 0.0038055598 0.0030718083 0.003199282 0.0029101341 0.004445002 0.0054482105 0.0034697752 0.003129845 0.0037962326 0.0030883902 0.0032490278 0.0031982455 0.0046118577 0.0033143193 0.0034231385 0.0030427896 0.0037340503 0.0030873537 0.0033112103 0.003240737 0.00434551 0.003029317 0.0031889183 0.0028634972 0.0040149074 0.003093572 0.004220109 0.0045185843 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922851 0.062018465 0.06246264 0.055324186 0.060590982 0.05956564 0.05493709 0.05447631 0.060475267 0.05315572 0.052116368 0.05295283 0.056411274 0.05055086 0.056661382 0.053812124 4026.0 5.7039247 22964.0 0.017244382 0.01058178 0.009406026 0.008665738 0.013412298 0.012454276 0.011931719 0.011452708 0.012584915 0.009754398 0.008491552 0.008578645 0.013891309 0.010538233 0.01180108 0.00997213 0.016721826 0.011931719 0.00875283 0.0075335307 0.009797945 0.008535098 0.007881902 0.008317366 0.010364048 0.008404459 0.009580213 0.0089270165 0.011539801 0.009014109 0.009667305 0.009144749 0.017984672 0.010886605 0.010407594 0.009101202 0.010843059 0.008796377 0.010668873 0.008317366 0.014239679 0.011583348 0.009754398 0.0089270165 0.011409163 0.009318934 0.01167044 0.009536666 0.014762237 0.009580213 0.00997213 0.009101202 0.012018812 0.009362481 0.009580213 0.009754398 0.013673576 0.009231841 0.010494688 0.00949312 0.011147884 0.009797945 0.010407594 0.010668873 0.017984672 0.0109736975 0.009667305 0.008186727 0.013107473 0.008273819 0.009362481 0.008360913 0.015415433 0.009275388 0.00888347 0.0087092845 0.011365616 0.008056087 0.009928584 0.007838355 0.0132381115 0.007968995 0.008665738 0.00888347 0.011496255 0.009580213 0.008273819 0.007838355 0.010886605 0.008839923 0.012018812 0.008491552 0.011322069 0.0089270165 0.010015677 0.008796377 6.554576 0.0 0.0 0.0 14.0 964904.0 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: 0.13862479 0.008399376 0.0040738545 0.0033321637 0.0060738786 0.0038427566 0.0019746155 0.001908069 0.007672204 0.0014700722 0.0016564024 0.0014652325 0.0044513545 0.0013357693 0.0011978366 0.0037858898 0.0059988624 0.0014652325 0.0011554889 0.00087236386 0.0024053527 0.0019298479 0.00074774044 0.0008046074 0.002246851 0.0007356411 0.0008094472 0.00069329335 0.0015753367 0.0005892388 0.00057955936 0.0005517308 0.0037883096 0.0005722997 0.0006364263 0.00052995194 0.0040557054 0.001286162 0.000453726 0.00054810103 0.0011554889 0.0006376363 0.00056987983 0.0009207613 0.0010792629 0.002286779 0.00066062505 0.00050575327 0.007295914 0.0033950803 0.0050018756 0.0106208185 0.00509988 0.002664279 0.004427156 0.0024235018 0.005552396 0.0027138863 0.0006981331 0.0014482933 0.0016285739 0.00095342955 0.00045493594 0.00051664264 0.011505282 0.003839127 0.0047901366 0.008626844 0.00378105 0.031821318 0.003194231 0.00264734 0.003306755 0.0034676765 0.002139167 0.0023012983 0.0026485499 0.004288013 0.00113371 0.0014966908 0.008854312 0.0020956092 0.0020097038 0.009535505 0.0031325242 0.013524665 0.0031494633 0.0020484217 0.0018826604 0.006366683 0.0026800083 0.0031857614 0.001530569 0.00453242 0.002324287 0.0035233337 0.005634672 0.0047114906 0.0024174522 0.0036334377 0.010035209 0.0063775727 0.004595337 0.0019165386 0.008675241 0.004572348 0.004331571 0.0017362582 0.0044198963 0.0021161782 0.0049982457 0.0043473 0.004142821 0.0020435818 0.0055100485 0.0041500805 0.010873695 0.0057883337 0.0025057774 0.0014845915 0.003725393 0.0012353447 0.00051906257 0.0005771395 0.0016164745 0.0024622197 0.001039335 0.00085542473 0.005127709 0.0011325001 0.0010647437 0.008862781 0.0030526684 0.003155513 0.0010115065 0.000604968 0.0026037823 0.014853174 0.0021839344 0.050585005 0.0011700081 0.010757541 0.00083848566 0.0006654648 0.0025977325 0.00043436702 0.0007114424 0.0006315866 0.0010986219 0.0009159215 0.0014785418 0.00055536063 0.0011482292 0.00057592953 0.00048881414 0.0006969231 0.0009352805 0.00046582535 0.00045493594 0.00041016832 0.0008772036 0.0032559377 0.00045614588 0.002494888 0.0013926363 0.0007997677 0.0005517308 0.00044283658 0.0010236058 0.0004476763 0.0004984936 0.00047671478 0.00082880614 0.0004404167 0.0007259616 0.0006436859 0.0012958414 0.0006703045 0.0016927004 0.0005251122 0.00085905456 0.0006557853 0.0006969231 0.0015450882 0.003081707 0.0024791588 0.0045493594 0.00080581737 0.0009788382 0.00046945518 0.00083485583 0.000699343 0.011735169 0.0011240306 0.0022371716 0.010123534 0.0042626043 0.0010357052 0.003479776 0.0032946558 0.0018294232 0.0017265787 0.0009618991 0.0012740626 0.001645513 0.00087357376 0.0009703687 0.0009219712 0.0028118913 0.0011252405 0.002909896 0.00132367 0.0017737661 0.0007513703 0.001569287 0.0008566347 0.0032946558 0.00064005615 0.0010623238 0.0017483576 0.0014640226 0.0007029728 0.0005505209 0.0008239664 0.0023859937 0.0006436859 0.00085905456 0.0009691587 0.002379944 0.002378734 0.0005384215 0.0006787741 0.02700819 0.005894808 0.0010695835 0.005771395 0.0063908817 0.001019976 0.0006654648 0.000738061 0.0070853853 0.0009558494 0.001777396 0.00089898246 0.008939007 0.0021234376 0.004007308 0.0025372359 0.009848879 0.002987332 0.0030066909 0.003534223 0.01456521 0.0039093033 0.0042081573 0.067435786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00532687 0.0 0.0 0.0013697318 0.0007475671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01628836 0.0 0.0 0.009617202 0.006352503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004670174 0.0 0.0 0.0037965986 0.0026994804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005385633 3.634848e-06 1.7568433e-05 6.5427266e-05 0.00014539392 7.390857e-05 6.05808e-06 7.269696e-06 1.51452e-05 0.0 0.0 1.817424e-06 7.875504e-06 3.02904e-06 4.846464e-06 0.00035015703 0.0059556984 0.00020112826 0.00020839795 0.00053795753 0.0018664944 0.0004767709 0.0023905183 0.0010401723 0.00019022371 9.8140896e-05 9.026539e-05 7.330277e-05 0.0006560901 0.0003713603 0.00039135196 0.0028218536 0.013014574 0.00062640547 0.0009238572 0.0020330916 0.0040334696 0.0035251968 0.0068050413 0.0031350565 0.00044345146 0.00023020704 0.00030350982 0.00032289568 0.0020343033 0.0010789441 0.0010959067 0.008781187 0.020290328 0.0012728026 0.0012049521 0.0020300627 0.007147323 0.0025019872 0.006536668 0.0031810978 0.0023366015 0.0009523302 0.0009541476 0.0013049104 0.0039644074 0.0025886176 0.002612244 0.009359733 0.019757822 0.0015260304 0.0012225206 0.00221544 0.009210705 0.0039510797 0.0057503297 0.0033295208 0.0056782383 0.0013812423 0.0017380632 0.002252394 0.0037741838 0.001732005 0.0039522913 0.0094512105 0.072351046 0.009596605 0.0071170325 0.009854679 0.0411174 0.02991601 0.020825861 0.013639161 0.050318412 0.0051723886 0.00591935 0.0089374855 0.016410733 0.0069146925 0.026825178 0.05969935 0.05890574 0.009902538 0.008913859 0.011409787 0.027489144 0.029919645 0.017274614 0.014282529 0.048702724 0.005753359 0.0063373577 0.008945361 0.020625945 0.010692512 0.024520684 0.047440823 0.00022838962 4.6647216e-05 8.420731e-05 5.0887873e-05 8.844797e-05 9.692928e-05 4.2406562e-05 6.4215645e-05 0.00013146034 2.8472976e-05 3.2713633e-05 2.8472976e-05 8.238989e-05 5.8763377e-05 7.1485345e-05 0.000104804785 5347.0 19.902374 106418.0 0.004397752 0.00010336597 0.0004510515 7.517525e-05 0.002706309 0.0004604484 0.00010336597 0.0001409536 0.00031949484 0.00032889174 0.0005920051 0.00046984534 0.000404067 0.01151121 0.00091149996 0.00037587626 0.033697307 0.019395215 0.035003476 0.015514293 0.031282302 0.017393675 0.031244714 0.015420323 0.033612736 0.017365484 0.00066718034 0.0004134639 0.0007705463 0.00043225772 9.3969065e-05 0.00011276288 0.001099438 0.0068879323 0.0059764325 0.011717943 0.0057603037 0.013024112 0.003815144 0.0024807833 0.0039748913 0.014208123 0.0019827473 0.0032231389 0.005506587 0.0053844275 0.0035802214 0.00744235 0.010421169 0.0021143039 0.00483001 0.016529158 0.010552726 0.0050555356 0.0047642314 0.002819072 0.0022458606 0.004322577 0.0012309947 0.002415005 0.0009396907 0.0022552577 0.0023492267 0.0179199 0.00020673194 0.027730271 0.015805596 0.024967581 0.028425641 0.045396455 0.014809525 0.011182318 0.022655942 0.031131951 0.011417242 0.008335056 0.026846962 0.012629443 0.035463925 0.030417787 0.023041215 0.005036742 0.036525775 0.025775714 0.040087204 0.011520607 0.014302092 0.0076772724 0.018389747 0.0053938245 0.0008457216 0.00023492267 0.0004416546 0.00020673194 0.00024431958 0.00025371648 5.72368 0.0 2.0 14.0 4.0 826490.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.615441 0.0 0.0 0.0 0.0 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 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.08452819 0.011861813 0.010177043 0.0034432935 0.007905802 0.0033491028 0.0043274425 0.003313559 0.0033393283 0.0029865573 0.010363648 0.00310474 0.0028861465 0.003457511 0.0030647535 0.003015881 0.0032389176 0.003708094 0.0033953097 0.0036183463 0.0031385066 0.002902141 0.003581914 0.003466397 0.0038351626 0.002804396 0.002708428 0.0029794485 0.002889701 0.0026160146 0.002765298 0.003913359 0.0074330713 0.0027404174 0.004985889 0.002822168 0.0026417838 0.002576028 0.0025973541 0.0027946215 0.0043541 0.0024773942 0.0030585334 0.0030691964 0.0032957874 0.0028728177 0.0037836244 0.0032851242 0.0036156804 0.004233252 0.0028257223 0.0030763051 0.002930576 0.0028888122 0.0030194353 0.0027946215 0.0027093168 0.0029563452 0.0027475262 0.0026337863 0.0031882678 0.003913359 0.003301119 0.002887035 0.0031793818 0.0034921663 0.0031562785 0.0034370734 0.0038893668 0.0033562116 0.0029972205 0.0030434274 0.0028541572 0.0033304424 0.0024294103 0.0024853915 0.002926133 0.0030016634 0.003277127 0.0029225787 0.0034255218 0.002930576 0.002702208 0.0034672855 0.0033526572 0.0027421946 0.0031909335 0.0025324868 0.002775961 0.0024720626 0.0024498478 0.0025449272 0.002604463 0.0025547016 0.0027270885 0.0038431599 0.0025751393 0.006410302 0.0032566893 0.0053004506 0.0037107598 0.008970335 0.0029750057 0.003829831 0.0031020744 0.0053102253 0.0023272221 0.0029163586 0.0048215 0.0049281307 0.0055146012 0.010506711 0.005014324 0.0026204574 0.0068492666 0.006219255 0.00761701 0.0040377616 0.003015881 0.0030061065 0.0031402837 0.004132841 0.0026204574 0.007229584 0.0025200467 0.003246026 0.00297856 0.002963454 0.0029270218 0.002856823 0.0027164253 0.0030683079 0.0025164923 0.002769741 0.0027795155 0.0026097945 0.0027866242 0.0028337196 0.002547593 0.0025742508 0.0035374844 0.002702208 0.0026142374 0.002695988 0.002456068 0.0029447936 0.0023485485 0.002751969 0.002466731 0.0024302988 0.0024454049 0.0026728844 0.002425856 0.0025093835 0.0025182695 0.0025964656 0.0026488923 0.0025893569 0.0026879904 0.002730643 0.0028586 0.0026026857 0.002763521 0.0028017303 0.002432076 0.0024187472 0.0024196357 0.002358323 0.002616903 0.0025262667 0.0026355635 0.002505829 0.002545816 0.002469397 0.0027119825 0.0026177918 0.002558256 0.0028274995 0.002534264 0.0024329647 0.0025093835 0.002451625 0.0025813596 0.0026506695 0.0025031634 0.0026515583 0.0025778052 0.0025511472 0.0026791047 0.0025529244 0.0028497141 0.0028621545 0.0029092499 0.002775961 0.0025182695 0.0025004975 0.0026462267 0.0026488923 0.0037240887 0.0027599665 0.0026853248 0.0025333755 0.0025689192 0.0026328978 0.0024551793 0.0023281109 0.0026657756 0.0028665974 0.0028639317 0.0027013193 0.002567142 0.0024462936 0.0024942774 0.0024249672 0.002451625 0.0027475262 0.002538707 0.0025129379 0.002684436 0.0027359745 0.0027501918 0.00266933 0.0027972872 0.0028994754 0.0025698077 0.0026480039 0.0026382294 0.0025795824 0.0027004308 0.00266311 0.002451625 0.0030851911 0.0026222346 0.002649781 0.0025422615 0.0025804709 0.0027528577 0.0026480039 0.0026915448 0.002983003 0.002708428 0.0027039852 0.0027182025 0.0026231233 0.0029412392 0.0027493034 0.0029012526 0.0031527241 0.003307339 0.0031882678 0.0036352295 0.004333663 0.004283902 0.0051858225 0.0061952625 0.09328704 0.008196721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.447006e-07 3.5576047e-06 8.449311e-06 5.336407e-06 0.03732283 1.7788024e-06 2.6682035e-06 1.1117515e-05 1.28963175e-05 6.670509e-06 6.225808e-06 3.112904e-06 2.6682035e-06 3.112904e-06 1.467512e-05 1.1117515e-05 6.225808e-06 1.2451616e-05 1.3341018e-05 9.3387125e-06 0.0026148395 0.0016142632 2.8016137e-05 4.8027665e-05 4.447006e-05 2.7571437e-05 9.783413e-06 9.783413e-06 1.3785719e-05 1.467512e-05 6.848389e-05 3.201844e-05 3.2907843e-05 3.1129042e-05 1.4230419e-05 2.5792635e-05 0.005271036 0.00094143115 0.00012673967 0.00023924891 0.00022813141 0.00010628344 4.0912455e-05 7.73779e-05 0.00010494934 0.000101391735 0.00034108537 0.00020900927 0.0001525323 0.00016364982 0.00013963599 0.00020055997 0.018684985 6.759449e-05 0.00013963599 0.0002276867 0.0002245738 0.00010005763 2.5792635e-05 4.9806466e-05 6.8928595e-05 0.00010984104 0.00035398168 0.00020189407 0.00018588484 0.00018054844 0.00014141478 0.0001449724 0.013260082 0.0014083667 4.8472364e-05 6.003458e-05 4.624886e-05 2.979494e-05 2.5792635e-05 5.6032273e-05 6.359218e-05 2.312443e-05 2.8905539e-05 1.6898623e-05 1.6898623e-05 2.4458532e-05 2.6237334e-05 3.735485e-05 0.0026415216 0.0035536024 7.51544e-05 0.00019388946 8.538251e-05 9.694473e-05 5.7366375e-05 0.00012718436 0.000108506945 4.6693563e-05 4.4025357e-05 3.913365e-05 3.9578354e-05 3.9578354e-05 3.4241944e-05 7.2930896e-05 0.0017610143 0.010663476 0.0005078481 0.00070307165 0.0005558757 0.0021381204 0.0016965327 0.010771982 0.005822465 0.00011206455 0.0001543111 0.00010450464 8.7161316e-05 9.561063e-05 0.00010005763 0.0001489747 0.0036785633 0.045521777 0.0038693398 0.0038284273 0.0026250675 0.002274199 0.001507535 0.008607625 0.008635641 0.0006545993 0.00058700476 0.0007386477 0.00061591034 0.00055320753 0.00096233207 0.00043402778 0.004194861 0.019155923 0.00232445 0.006863064 0.0030782174 0.0023342334 0.0016218231 0.010570088 0.0077582467 0.00079245644 0.0005269702 0.0006883965 0.00071463385 0.0008351477 0.0011806801 0.0007008481 0.006428592 0.005363089 0.001097521 0.0008578274 0.00041712917 0.00047227202 0.00042335497 0.00056165684 0.00048205545 0.00079423527 0.0003037305 0.0003028411 0.00034286416 0.0003562052 0.00034642176 0.00041357154 0.003858667 0.004709824 0.0005999011 0.00080179516 0.0004549287 0.00043758538 0.00035042406 0.00071107625 0.00049183884 0.0005758873 0.00040734574 0.00032863373 0.00031618212 0.0003855554 0.00036154158 0.00032374202 0.0024049408 0.0058335825 0.0014417194 0.0010557192 0.00078578596 0.0009512146 0.0010703943 0.0015582308 0.0011593344 0.00056165684 0.00050384575 0.00032151854 0.00035175818 0.00048250015 0.00024814293 0.00031796092 0.00066082506 0.0024405168 0.0005767767 0.00040512223 0.00039800702 0.00041223745 0.00035931807 0.00047093793 0.00042468906 0.00048294483 0.00034997935 0.00024325123 0.00024191712 0.00033485953 0.00024102772 0.00027393556 0.0005412006 0.0041864114 0.001044157 0.0009645556 0.0012638391 0.0010437123 0.00093298184 0.0016449474 0.001122869 0.0010859588 0.00079601404 0.0006919541 0.00071952556 0.0009756731 0.00072753016 0.0007373136 0.00118824 0.047039095 0.03970109 0.038496397 0.039520986 0.03937868 0.038223796 0.04120907 0.040935133 0.039215922 0.036780298 0.037392203 0.03798499 0.03878323 0.03777687 0.038997572 0.0415337 5991.0 14.316475 85770.0 0.050192375 0.0024250904 0.025719948 0.0029614083 0.0021919087 0.0020170223 0.002646613 0.0024250904 0.003031363 0.002110295 0.0024950448 0.0025416813 0.006738953 0.0025766585 0.013617815 0.007648362 0.009513816 0.0058528623 0.0040340447 0.00524659 0.0041389763 0.006074385 0.0035793402 0.004255567 0.0029963858 0.002903113 0.0031596129 0.002005363 0.008464498 0.016835723 0.0088609075 0.0024250904 0.0029847266 0.006365862 0.0066689984 0.011134429 0.013466247 0.0074268393 0.0058528623 0.00409234 0.0034277719 0.009700362 0.0024600676 0.0038708174 0.0065174303 0.0070887255 0.010376588 0.0032062493 0.010598111 0.0037775445 0.006330885 0.013944269 0.011390929 0.0037658855 0.005188294 0.00345109 0.003695931 0.002366795 0.002646613 0.0024017722 0.0024134312 0.0025999767 0.0031596129 0.013967588 0.0020753178 0.042299174 0.0105281565 0.017686836 0.014597178 0.07710155 0.010388248 0.016707474 0.008977498 0.033473242 0.002378454 0.0074618165 0.026582722 0.025848199 0.035875015 0.034324355 0.018176518 0.002774863 0.038778126 0.026629357 0.055322375 0.01713886 0.006657339 0.007625044 0.008114725 0.019680541 0.0033811356 0.0019937041 0.0024134312 0.002378454 0.0024367494 0.0021685904 5.8402586 1.0 8.0 0.0 13.0 1125376.0 1155072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542087700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 -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 48.0 0.0 4.0 0.0 6.0 0.0 1122816.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1122816.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.3501296 0.0 4.2119126 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 -1122392.0 0.0 1500.0 0.0 0.0 0.0 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 79.0 1130496.0 1500.0 1138688.0 0.0 0.0 0.0 0.0 12.0 1146880.0 28.0 1130184.0 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