Input: 0.05664394 0.008296904 0.006164982 0.0056495946 0.005753086 0.0049686213 0.0041903662 0.005417774 0.00504831 0.005633036 0.0037515627 0.0044553042 0.004940679 0.0031730458 0.0043228352 0.0046384837 0.0050389958 0.0037577723 0.0049303295 0.0041541443 0.0043549174 0.0031761506 0.004107573 0.0038374607 0.005071078 0.0033375972 0.0031689063 0.0029288062 0.004145865 0.0034504028 0.0037888195 0.0037950291 0.0061680865 0.003820902 0.0034824852 0.003013669 0.004879619 0.004158284 0.0038384956 0.003722585 0.004724382 0.0038954157 0.0033324226 0.003100602 0.0043735458 0.0037132709 0.003722585 0.003579767 0.0055109165 0.0039554406 0.0031026718 0.0028998286 0.003674979 0.0030705894 0.0026949157 0.002868781 0.0041727726 0.0033210386 0.0035228468 0.0033448415 0.0039937324 0.0032144424 0.003508358 0.0034628217 0.0065996456 0.0039585456 0.0036149542 0.0032258264 0.0041500046 0.0032123725 0.003543545 0.0030705894 0.005004843 0.0037764006 0.0037029218 0.0035828718 0.0041282712 0.00312337 0.003568383 0.0034742057 0.005175604 0.0036294428 0.0036501412 0.0033303527 0.0039223237 0.0033831333 0.0033624351 0.0035342309 0.004637449 0.003654281 0.0038043433 0.0035135325 0.004108608 0.0033914128 0.0036956773 0.0037877846 0.0059145326 0.0036304777 0.0033479463 0.0029577839 0.0040061516 0.0030519608 0.0032692929 0.0030354024 0.004972761 0.0031740807 0.0032061632 0.0030550656 0.003578732 0.0028387688 0.0030912876 0.0031937442 0.0044987705 0.0032858516 0.0032237566 0.003146138 0.0038954157 0.0033365623 0.0032941308 0.0036221985 0.0046219253 0.003292061 0.0034824852 0.0031761506 0.0040444434 0.0031989187 0.0034711012 0.0033448415 0.008642565 0.0045970874 0.00402271 0.003532161 0.004372511 0.003434879 0.0030188437 0.0033924477 0.0045360276 0.0038291812 0.0029619234 0.0032020235 0.0037318994 0.0028149658 0.002847048 0.002980552 0.005239769 0.0032154773 0.0034886946 0.0030322976 0.0036687695 0.0031885696 0.0033086196 0.003268258 0.0045463764 0.0028408386 0.0030426467 0.00270423 0.0035228468 0.003233071 0.0029991805 0.0031616618 0.004999669 0.0034038317 0.0032744675 0.002789093 0.0037774355 0.0030281579 0.0030592054 0.0031823602 0.0041427603 0.00300125 0.0031306143 0.0030219485 0.003651176 0.002846013 0.0029132825 0.0030405768 0.0046674614 0.0031140558 0.0038416001 0.0028625717 0.0035714877 0.0031533826 0.0029950407 0.0031181953 0.0042483215 0.003148208 0.0033334575 0.0031730458 0.0036460015 0.0031864997 0.0033324226 0.0033562256 0.006715556 0.0040651415 0.0037298296 0.0033375972 0.004108608 0.0032475598 0.0033075847 0.0032403152 0.004333184 0.0033241434 0.003111986 0.0030819734 0.0036460015 0.002980552 0.0030747291 0.0028046165 0.0042462517 0.0032744675 0.0030923225 0.0029971106 0.003712236 0.0030209136 0.002943295 0.0029588188 0.003977174 0.003113021 0.0027332075 0.0026379954 0.003531126 0.002945365 0.003580802 0.0028812 0.004949993 0.0032361755 0.0033955523 0.0029764122 0.0038146924 0.0030674846 0.0031927093 0.0028987937 0.004433571 0.0054560658 0.0034648916 0.0031399287 0.003783645 0.0030736942 0.0032392803 0.0031885696 0.004614681 0.0033272482 0.003413146 0.0030322976 0.0037443184 0.003087148 0.0033086196 0.003242385 0.004351813 0.0030333325 0.0031792554 0.002868781 0.004013396 0.0030923225 0.0042110644 0.0045122243 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 0.09914442 0.062000833 0.0624124 0.055321954 0.060616333 0.05956202 0.054978292 0.05450608 0.06049763 0.053221103 0.052158494 0.052964002 0.056431215 0.05055525 0.056618854 0.053809423 4024.0 5.703032 22949.0 0.017124929 0.010414397 0.009412175 0.008584252 0.0133774895 0.012462417 0.011765218 0.011547344 0.0126367165 0.009847924 0.008497102 0.008671402 0.013856813 0.010588696 0.011852369 0.009891499 0.016732756 0.011852369 0.008671402 0.0075384546 0.009804348 0.008497102 0.0077999043 0.008366378 0.0102400975 0.008409953 0.009586474 0.008845701 0.011547344 0.009020001 0.009804348 0.00928145 0.018214302 0.010893721 0.010370823 0.009107151 0.010806571 0.008845701 0.010719421 0.008279228 0.014248987 0.011590919 0.009760774 0.008976426 0.01141662 0.0093686 0.011634494 0.009586474 0.014771885 0.009586474 0.009935074 0.009020001 0.012026668 0.0093686 0.009542899 0.009760774 0.013638939 0.00928145 0.010588696 0.00963005 0.011111596 0.009804348 0.010370823 0.010675847 0.017909277 0.010980871 0.009717199 0.008192078 0.01311604 0.008235653 0.0093686 0.008322802 0.015425509 0.00928145 0.0088892765 0.008671402 0.011329469 0.007930629 0.009978648 0.007974204 0.013159615 0.007974204 0.008714977 0.008802126 0.011460194 0.00945575 0.008279228 0.007887054 0.011024445 0.008845701 0.011895943 0.008540677 0.011329469 0.009107151 0.009935074 0.008802126 6.55466 0.0 0.0 0.0 14.0 966264.0 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: 0.010869341 0.0042298324 0.003966068 0.0039682672 0.004235632 0.0038996767 0.0039332723 0.003852083 0.0043234196 0.003755096 0.0037810926 0.0038256866 0.0041414443 0.0038244869 0.003770894 0.0040092617 0.0040262598 0.003806889 0.003793291 0.003734099 0.003976866 0.0038916778 0.0037494968 0.003689305 0.0039302725 0.0037946908 0.0038494833 0.003815088 0.0039304723 0.0038178877 0.003830486 0.0037604955 0.0040002633 0.0037414979 0.0037820924 0.0038644813 0.004315821 0.0037736935 0.0037806926 0.003771094 0.0038058893 0.0038348853 0.0038692807 0.0039066756 0.0038486836 0.0037372985 0.0037205007 0.003675107 0.003851283 0.003791891 0.0037530963 0.0040108617 0.0038552827 0.0038258866 0.0038030897 0.003771094 0.0038242869 0.003821487 0.0038024897 0.0040136613 0.0038426842 0.0037832924 0.0037384983 0.0037276996 0.003941271 0.0040114615 0.0042638276 0.003836085 0.003859282 0.004337018 0.0039950637 0.0038644813 0.0039208736 0.0038506833 0.003793091 0.0037966904 0.0038858785 0.0041696406 0.0038788794 0.0038504833 0.00417344 0.0039556692 0.003882479 0.003957269 0.003911075 0.0039362716 0.0040972503 0.003993464 0.0038042895 0.0039462703 0.0038050893 0.003942071 0.0037820924 0.0038464838 0.003988865 0.003844884 0.0037682944 0.0037672943 0.0037964906 0.0038692807 0.003868481 0.003955069 0.0040328586 0.0037249 0.0038638816 0.003933072 0.003991464 0.0038180875 0.003898277 0.0038804791 0.003910275 0.0038090888 0.0038090888 0.003770494 0.0039216736 0.0038772796 0.0041702404 0.004201636 0.0038694807 0.003785692 0.003850883 0.003762895 0.0037290996 0.003785492 0.0037820924 0.0037880917 0.0037830924 0.00365211 0.0039366717 0.003860082 0.0037526963 0.0042724265 0.0038716805 0.0039616683 0.003912875 0.0037368985 0.0038914778 0.004464401 0.0038964772 0.0055118604 0.0038034895 0.004454602 0.0038584822 0.0037676943 0.004018861 0.0038428842 0.0038772796 0.0038492833 0.0038134882 0.003822887 0.0038130882 0.003748897 0.0038248866 0.0037350988 0.00387508 0.0037662946 0.003762695 0.0037219005 0.0038406847 0.0037312992 0.0037374985 0.0037722937 0.003786092 0.0037508965 0.003822487 0.003830686 0.003739498 0.0038118884 0.0038270864 0.0038636816 0.0038396847 0.003719301 0.0038114884 0.0038808791 0.0037680943 0.0038062893 0.0037598955 0.0037874917 0.0037976904 0.003792891 0.0037496968 0.00380129 0.0038782796 0.003888678 0.00394727 0.0038058893 0.0038136882 0.0037618952 0.0038018897 0.0037278996 0.0037137016 0.0036787062 0.0040258598 0.0039220736 0.003909475 0.0039950637 0.003844484 0.003785892 0.0039748666 0.003963868 0.0038462838 0.0038942774 0.0037678943 0.003807489 0.0041706404 0.003815088 0.0038112886 0.0037640948 0.003771694 0.0037888915 0.0038266864 0.0038330855 0.003897877 0.0037792928 0.0037998902 0.0037620952 0.0038382849 0.0037700941 0.0038650814 0.0039466703 0.003853283 0.0037836921 0.0037750935 0.0036631085 0.0038284862 0.0038256866 0.0038188875 0.0037658946 0.0038856785 0.003806689 0.0038194875 0.0037616952 0.0045053954 0.0040634545 0.0038032895 0.0038994767 0.0038708805 0.0038552827 0.0038106886 0.003747897 0.0039824657 0.003859882 0.0037808926 0.003756896 0.0037502968 0.0037294994 0.0038052893 0.0037282996 0.0037988902 0.0038084888 0.0037310992 0.0037376983 0.003953669 0.0038088888 0.0038998767 0.0060975817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003294548 3.400566e-06 5.000832e-06 5.600932e-06 1.1601931e-05 5.5009154e-06 1.8803128e-05 8.901481e-06 7.901314e-06 1.8002995e-06 1.6002663e-06 2.0003329e-06 1.9003162e-06 2.4003994e-06 2.2003662e-06 1.6002663e-06 0.00013892312 1.0001664e-06 2.800466e-06 3.7006157e-06 3.1005159e-06 2.4003994e-06 1.2702114e-05 5.000832e-06 2.7004494e-06 1.0001664e-07 3.0004992e-07 6.0009984e-07 9.0014976e-07 2.0003328e-07 5.000832e-07 2.9904977e-05 0.0016332718 4.3607255e-05 6.6111e-05 1.1701947e-05 0.00013242204 4.6007655e-05 0.00011631935 8.261375e-05 1.6002663e-05 3.9106508e-05 2.800466e-05 1.5902646e-05 1.490248e-05 1.550258e-05 7.4012314e-06 0.00018913148 0.0010370726 2.890481e-05 3.6806123e-05 1.1701947e-05 0.00010421734 2.5404228e-05 0.00013902313 5.930987e-05 1.4502413e-05 2.2003662e-05 6.3010484e-06 1.5402564e-05 1.9003162e-05 5.600932e-06 5.9009817e-06 0.00010751789 5.5309203e-05 5.000832e-07 8.0013314e-07 1.5002496e-06 1.9703279e-05 1.52025295e-05 7.15119e-05 3.540589e-05 8.0013314e-07 1.0001664e-06 5.000832e-07 1.2001997e-06 6.0009984e-07 3.0004992e-07 5.000832e-07 0.0 0.00021953654 6.701115e-06 1.4702447e-05 7.101182e-06 1.490248e-05 9.901648e-06 4.910817e-05 2.590431e-05 5.5009154e-06 6.101015e-06 3.900649e-06 4.8007987e-06 4.6007654e-06 1.5902646e-05 9.201531e-06 1.1801963e-05 0.0005789963 3.7306207e-05 4.2707106e-05 2.9904977e-05 0.0002025337 6.021002e-05 0.00013682277 8.181361e-05 4.260709e-05 2.2803795e-05 1.340223e-05 2.5504243e-05 2.7204527e-05 5.8809786e-05 3.4605757e-05 3.8606424e-05 0.0002235372 1.790298e-05 1.9503246e-05 1.3202197e-05 9.2515394e-05 1.9303212e-05 3.4405726e-05 2.0903479e-05 2.3503912e-05 1.1601931e-05 8.401398e-06 1.3602264e-05 3.1505242e-05 3.6206024e-05 2.290381e-05 2.5504243e-05 0.004107083 0.0007254207 0.000624904 0.0006683112 0.0016471741 0.0013528251 0.0004428737 0.00096856116 0.0030667102 0.00032165353 0.00016682775 0.00041976984 0.001424637 0.00044897472 0.0012975159 0.0023904978 0.0023209862 0.0004403733 0.00040066667 0.00045057497 0.0008491413 0.000871345 0.00040626762 0.0006381062 0.0016659772 0.00025014163 0.00011211866 0.000204334 0.00083803944 0.00027714611 0.00067261193 0.0012777126 0.05967603 0.0600977 0.06021512 0.060017787 0.060181215 0.06046116 0.06046076 0.05961412 0.060115505 0.060373645 0.060432855 0.060008686 0.059941474 0.0600989 0.060018785 0.059162945 22995.0 5.6771474 130546.0 0.010448424 0.010057758 0.010088398 0.010839092 0.011145497 0.010509705 0.010264581 0.009820294 0.010593967 0.010417784 0.010456084 0.010042437 0.010011797 0.010065418 0.009797313 0.009536868 0.010241601 0.010134359 0.010004137 0.010486725 0.010080738 0.010425444 0.009513888 0.010463744 0.009904555 0.010080738 0.010264581 0.010486725 0.010601627 0.0100500975 0.009835614 0.009866254 0.009988816 0.010877392 0.010119039 0.010555666 0.0107701495 0.011061235 0.01132934 0.010325862 0.010479065 0.010961654 0.010103718 0.009973496 0.010532686 0.010862072 0.010249261 0.010525025 0.010448424 0.010448424 0.010747169 0.011827249 0.010486725 0.010953994 0.0107088685 0.011045915 0.0100500975 0.009843274 0.010249261 0.010586306 0.010302882 0.0101113785 0.010862072 0.010249261 0.009904555 0.010325862 0.010456084 0.010517365 0.010233941 0.012240896 0.010724189 0.009552188 0.010502045 0.01188087 0.0101113785 0.010371823 0.010525025 0.010992294 0.011091876 0.0107701495 0.009881575 0.0098126335 0.011382961 0.010402463 0.011965131 0.010946333 0.010004137 0.010570986 0.0106475875 0.010333522 0.0101726595 0.0098739145 0.009797313 0.0102033 0.009751352 0.009881575 6.5832233 0.0 0.0 0.0 84.0 5000671.0 229376.0 0.0 0.0 132.0 0.0 1.0 0.0 0.0 0.0 1517151600.0 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 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 6.0 0.0 4.0 0.0 4.0 0.0 158720.0 1024.0 4096.0 5.0 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 -512.0 0.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158720.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.4153056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4340637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.677506 0.0 3.2578456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 25332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158533.0 0.0 8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 186292.0 8336.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 552.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.19225757 0.014517856 0.010482789 0.008852312 0.009460314 0.004265689 0.0037705784 0.0024545854 0.006808975 0.0020304355 0.0024707126 0.0017659467 0.0052107526 0.0025126438 0.002346532 0.0047575734 0.006223551 0.0012418072 0.0011934252 0.0012853512 0.0048317593 0.0032754682 0.0011127883 0.0011031119 0.0038625046 0.001757883 0.0010321515 0.0011708469 0.0040899003 0.0012063271 0.001066019 0.0010466662 0.012018114 0.00093538733 0.0010498916 0.0011224648 0.033278823 0.0018578727 0.00092732365 0.0009644166 0.0025965062 0.0011208521 0.0011789106 0.0014563013 0.0026400501 0.0015595164 0.0023965267 0.0011547195 0.003939916 0.0014417866 0.0014869433 0.0028497058 0.0022046112 0.0012966404 0.00109021 0.00097570574 0.0023175026 0.0014353357 0.0012047143 0.0020449501 0.002132038 0.0015304872 0.0009660293 0.001028926 0.0031335475 0.002854544 0.0014159828 0.002959372 0.011655249 0.012182614 0.0073105358 0.003289983 0.0027206868 0.0025707025 0.000882167 0.001219229 0.01260515 0.0032319245 0.002456198 0.0019207695 0.009471603 0.0049398127 0.0050688316 0.004057646 0.0053591244 0.002970661 0.004515663 0.0034802859 0.0020546266 0.0015627419 0.0008724906 0.0020626902 0.0024868401 0.0019981808 0.0030916163 0.0027706816 0.0015579037 0.0051559196 0.0012918022 0.0027787455 0.005678446 0.008542666 0.029656617 0.0017240156 0.0077830674 0.0060929195 0.004944651 0.0011224648 0.004681775 0.0019449606 0.0050881845 0.0045963 0.0037092946 0.001157945 0.0055865203 0.0049382 0.010992413 0.0060187336 0.0021788073 0.0039415285 0.002101396 0.0014127574 0.0012627728 0.0007854028 0.0021691308 0.001151494 0.0010579553 0.0011321412 0.0035206042 0.0026319863 0.0008950689 0.008223345 0.008128193 0.00599293 0.001280513 0.001212778 0.005549427 0.00730731 0.0016288641 0.01951734 0.0030835527 0.023634657 0.0011482686 0.00094990194 0.009805439 0.00080636836 0.00083539763 0.001280513 0.0015998349 0.0007708882 0.00085475045 0.0006950895 0.0011789106 0.0008031429 0.00069992774 0.0007563735 0.0020046318 0.0007241188 0.0007757264 0.00073218247 0.0011998762 0.001886902 0.0007241188 0.0008595887 0.001059568 0.00086281414 0.0008644269 0.0007208933 0.0018836765 0.00076121173 0.00093538733 0.0007837901 0.0011740724 0.00068541314 0.0010127986 0.0009805439 0.001304704 0.0008724906 0.0007418589 0.0010482789 0.0011837488 0.0007773391 0.0008160448 0.00096280384 0.002335243 0.0014821051 0.0008499123 0.0010369897 0.0011660086 0.00084829953 0.001195038 0.0012031016 0.006012283 0.0025578004 0.002136876 0.0034367421 0.0046785492 0.0010579553 0.0071024927 0.003357718 0.001665957 0.0018836765 0.0015450018 0.0010063477 0.0057929503 0.00096925476 0.0017804614 0.0012966404 0.0014772669 0.0012160036 0.0011692342 0.0011144012 0.0011289157 0.0010015095 0.0010095732 0.0011934252 0.0014450122 0.0008918434 0.0007837901 0.0011047247 0.0010611808 0.000790241 0.00091442175 0.0008450741 0.0015272617 0.0010144114 0.00078056456 0.0010095732 0.0011966507 0.00074669713 0.0007725009 0.000857976 0.018101357 0.0066460883 0.0008982944 0.0023545956 0.0020804305 0.0011289157 0.0011998762 0.0009111963 0.0027980984 0.0015288744 0.0012595474 0.0015385508 0.0014546885 0.00095474016 0.0022771843 0.0022029984 0.0041511846 0.0013934046 0.0012160036 0.0012627728 0.002248155 0.002070754 0.004270527 0.03639463 0.016598329 8.0841266e-07 0.0 0.0 4.042063e-06 0.0 0.0048917052 6.4673013e-06 0.0 0.0 0.0 0.0 1.6168253e-06 4.850476e-06 0.0 1.5359841e-05 0.0016022739 1.4551428e-05 1.6168253e-06 7.275714e-06 2.2635555e-05 8.0841266e-07 0.0015715542 2.8294444e-05 3.5570156e-05 1.0509365e-05 8.0841266e-07 0.0 1.13177775e-05 8.0841266e-07 1.6168253e-06 1.6168253e-06 0.0030978373 2.9102855e-05 1.0509365e-05 1.2934603e-05 8.892539e-06 1.2934603e-05 8.084126e-06 1.0509365e-05 4.527111e-05 1.13177775e-05 1.212619e-05 8.892539e-06 1.2934603e-05 1.2934603e-05 9.700952e-06 7.275714e-06 0.0029458557 4.4462697e-05 5.0121584e-05 1.6168253e-05 5.6588888e-05 1.2934603e-05 0.0013799604 0.00025222474 6.548143e-05 5.6588888e-06 3.2336507e-06 4.850476e-06 6.4673013e-06 1.7785078e-05 1.0509365e-05 9.4584284e-05 0.0044260593 4.284587e-05 3.1528092e-05 1.6976666e-05 7.4373966e-05 3.7186983e-05 0.0040501473 0.00046887936 0.00038803808 2.2635555e-05 1.7785078e-05 3.2336506e-05 4.0420633e-05 1.6976666e-05 6.7906665e-05 0.00019967793 0.0009862635 3.1528092e-05 0.00010994412 3.7186983e-05 3.5570156e-05 2.9911269e-05 0.00852552 0.00071221153 0.0005327439 3.314492e-05 8.0841266e-05 2.2635555e-05 2.3443967e-05 1.6168253e-06 1.4551428e-05 0.00041229045 0.0063128946 0.00010428523 0.00071140315 0.0002101873 0.00066532363 0.00014228062 0.004950719 0.0016459281 0.0006806835 0.00019321062 8.650016e-05 6.1439365e-05 0.00012853762 6.8715075e-05 0.00014389746 0.00045028585 0.040588785 0.0013338809 0.0050574294 0.00048908964 0.005176266 0.0010371935 0.01638976 0.0068698907 0.001022642 0.00060550106 0.00024333221 0.00025384157 0.00032983237 0.0002554584 0.00059741695 0.00253114 0.022621004 0.0007421228 0.0025157803 0.0014155306 0.0033945248 0.0010565954 0.005645954 0.002869865 0.0006329871 0.0003589352 0.00026030888 0.00048908964 0.0004527111 0.00022716395 0.00070655264 0.0013128622 0.012428536 0.00031204728 0.0020671112 0.00073888915 0.0043516853 0.002096214 0.0074333544 0.0034462633 0.00047938872 0.00032255665 0.00021422935 0.0005060663 0.0004947485 0.00042603348 0.00036055205 0.0007461649 0.009789069 0.00031123887 0.0021414852 0.0018480313 0.0065206564 0.0042756945 0.0075934203 0.004624929 0.0016362272 0.0002425238 0.00031608934 0.00041875776 0.00038076236 0.00014470586 0.00058367394 0.0022190928 0.006321787 0.0011366282 0.0014640354 0.001147946 0.003845619 0.001494755 0.001860966 0.0013177126 0.0068019843 0.0007526322 0.00072514615 0.0010646795 0.004072783 0.0008811698 0.0049232333 0.015169055 0.011398619 0.0013015444 0.0035570157 0.0014316988 0.0027421357 0.0021649292 0.0018933024 0.0011309693 0.0059701274 0.0007590995 0.0005489122 0.0006127768 0.0024632334 0.0005238514 0.002523056 0.0040250868 0.093114585 0.015297593 0.032001823 0.007620906 0.026861127 0.024367983 0.013427734 0.010726019 0.047260612 0.008348478 0.0040291287 0.0040646987 0.017581359 0.0032296085 0.01679154 0.017992033 0.034064084 0.0075724013 0.009478639 0.0055861315 0.011512605 0.013127813 0.0057591316 0.008350903 0.022076134 0.0054850797 0.0027760891 0.0030606503 0.013221589 0.004337942 0.0075311726 0.014933807 0.007385658 0.007212658 0.0070590596 0.007268438 0.007211041 0.0069394144 0.0072603542 0.007093821 0.0072045736 0.007179513 0.0070784613 0.007211041 0.0071326247 0.006987919 0.007019447 0.006994386 3647.0 18.153002 66204.0 0.047957826 0.00046824967 0.00040783035 0.00043804 0.0137302885 0.0025980303 0.00040783035 0.00055887864 0.0028699173 0.0014802731 0.0006041931 0.0004984593 0.0049694884 0.0031115944 0.005603891 0.0010724427 0.0075826235 0.0032022235 0.002718869 0.0021750953 0.0021297806 0.0011781765 0.0010120234 0.0009969187 0.0021902 0.0017823697 0.002643345 0.0010271283 0.001223491 0.002295934 0.00036251586 0.0009969187 0.0024016676 0.011766661 0.0020693613 0.012310434 0.013851127 0.015255876 0.0095915655 0.0043350854 0.0035194247 0.01308078 0.0004984593 0.0014500634 0.010951 0.005241375 0.009183736 0.007688357 0.01357924 0.006464866 0.016403843 0.01714398 0.014651682 0.007718567 0.0069633257 0.0059059877 0.0023261434 0.0037308924 0.0006041931 0.002537611 0.006479971 0.0028246026 0.0023412483 0.0049996977 0.00131412 0.023472901 0.003851731 0.013533926 0.013171409 0.050132923 0.26306567 0.007174793 0.013669869 0.028895535 0.0034287958 0.0014198538 0.018790405 0.008307655 0.026191771 0.024741707 0.008896743 0.0006646124 0.023850523 0.024243249 0.032263912 0.009999395 0.005407528 0.020391516 0.004093408 0.005951302 0.0010120234 0.0005739835 0.00096670893 0.00051356415 0.00036251586 0.0014802731 5.050455 0.0 11.0 0.0 1.0 620064.0 630784.0 0.0 0.0 341.0 0.0 1.0 1.0 0.0 0.0 1067556160.0 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 352256.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -352256.0 0.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.581326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8362126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3283687 0.0 6.8559785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54658.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -350510.0 0.0 151552.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 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 -1.0 0.0 0.0 2.0 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 -1.0 0.0 1.0 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 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 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 240.0 403096.0 69528.0 479232.0 0.0 0.0 5664.0 532480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1408.0 356352.0 0.0 0.0 0.0 0.0


Input: 0.22846082 0.019223133 0.0071797245 0.011017734 0.01677475 0.0058893594 0.012407359 0.0035071466 0.007014293 0.0049629435 0.0027792482 0.0028123346 0.0050952886 0.004135786 0.0021506087 0.008635522 0.0040696138 0.0014227105 0.0009925887 0.0041688723 0.0044997353 0.0023160402 0.0020844361 0.001952091 0.0029115935 0.0015550556 0.0009925887 0.001025675 0.0044004763 0.0030770248 0.0015219693 0.0017866596 0.010091318 0.0010918475 0.0011249338 0.0011580201 0.019620169 0.0025476443 0.002514558 0.0018859184 0.0036725781 0.0016543145 0.0021175225 0.002746162 0.002646903 0.002282954 0.005426151 0.0035733192 0.019223133 0.009065643 0.0044335625 0.0027130756 0.0035071466 0.0019851774 0.0025476443 0.0026138169 0.0020844361 0.0035733192 0.0032424564 0.0010587613 0.0024483853 0.0019190047 0.0012241927 0.0015881419 0.0028123346 0.0029115935 0.0017535733 0.0046651666 0.0081392275 0.0026799894 0.0015550556 0.0043012174 0.0038049233 0.0010587613 0.001257279 0.0011249338 0.0043012174 0.001952091 0.0025807305 0.00205135 0.0031101112 0.0011911064 0.0023822128 0.0047644256 0.003937268 0.008172314 0.0027792482 0.0019851774 0.0010918475 0.00069481204 0.0018197459 0.002646903 0.0018197459 0.0016212282 0.0019851774 0.0036064056 0.0016874007 0.0060217045 0.002845421 0.0074775014 0.004268131 0.0087678665 0.002183695 0.0048305984 0.002845421 0.0075767604 0.0012903652 0.0017535733 0.016344627 0.0029446797 0.0063194814 0.008172314 0.0036725781 0.0008602435 0.0076429327 0.006187136 0.013399947 0.004268131 0.0029115935 0.0022498677 0.0023822128 0.0029446797 0.001025675 0.0008602435 0.0024483853 0.0011580201 0.00052938063 0.0009264161 0.0056577553 0.0048967707 0.005492324 0.0093965065 0.004334304 0.0073120696 0.004565908 0.0011249338 0.0015881419 0.014524881 0.00066172576 0.008370831 0.0010587613 0.00668343 0.0013565378 0.0009925887 0.009760455 0.00082715723 0.00076098467 0.0007278984 0.0011911064 0.0008602435 0.00069481204 0.00095950236 0.00079407095 0.00076098467 0.00082715723 0.00095950236 0.00079407095 0.0007278984 0.00076098467 0.00082715723 0.002514558 0.0018859184 0.00046320804 0.0013234515 0.0009925887 0.00082715723 0.00095950236 0.0006286395 0.0012241927 0.0006286395 0.00076098467 0.0008933298 0.00095950236 0.0007278984 0.0010587613 0.00066172576 0.001257279 0.00082715723 0.00066172576 0.00079407095 0.0016543145 0.0007278984 0.0022167813 0.0014557968 0.0022498677 0.00049629435 0.0008602435 0.0010587613 0.0016543145 0.00046320804 0.00069481204 0.001025675 0.0050952886 0.001952091 0.0016874007 0.0036725781 0.002183695 0.0008602435 0.001488883 0.00668343 0.0010587613 0.0015881419 0.00082715723 0.00069481204 0.0009925887 0.001025675 0.00069481204 0.00082715723 0.0017866596 0.0009264161 0.0020182636 0.0016543145 0.0008602435 0.0010918475 0.0008602435 0.0015550556 0.0016212282 0.0013234515 0.0010587613 0.0016874007 0.009793541 0.0012903652 0.0010918475 0.00082715723 0.0011249338 0.0008933298 0.00069481204 0.0010587613 0.0009925887 0.00079407095 0.0011911064 0.0011911064 0.004929857 0.0029446797 0.00095950236 0.0021506087 0.0028785071 0.0011249338 0.00069481204 0.0010918475 0.0015550556 0.0013234515 0.00066172576 0.0010918475 0.0008933298 0.0009264161 0.0018528322 0.003308629 0.0020844361 0.0008933298 0.001257279 0.001025675 0.0016543145 0.0019190047 0.0027792482 0.018859185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029174805 0.0001046317 0.0005405971 0.0005405971 0.0008719308 0.0004185268 0.0026681083 0.0010114397 5.231585e-05 3.4877234e-05 5.231585e-05 3.4877234e-05 3.4877234e-05 0.00012207031 3.4877234e-05 1.7438617e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023629325 0.0004185268 0.00038364955 6.975447e-05 0.0008370536 0.0007672991 0.0055454797 0.0026506695 0.0007847377 0.00012207031 0.00012207031 3.4877234e-05 0.0001046317 0.00019182477 3.4877234e-05 1.7438617e-05 0.041155133 0.00017438616 0.006853376 0.0037144253 0.0041852677 0.0016741072 0.007114955 0.003679548 0.0019356863 6.975447e-05 6.975447e-05 0.00012207031 0.0001046317 0.00019182477 0.00012207031 0.00026157923 0.058680944 0.0018659319 0.0023018974 0.011945452 0.0030866351 0.0030343193 0.011038644 0.005318778 0.0039585656 0.0010288784 0.00113351 0.0005405971 0.0007847377 0.000906808 0.0007498605 0.0007672991 0.019165039 0.0007672991 0.0019880023 0.00071498327 0.0008719308 0.0007498605 0.0018310547 0.0011858259 0.0024937221 0.00026157923 0.00050571986 0.00057547435 0.0013602121 0.0008893694 0.00113351 0.0012207031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027762277 0.002040318 0.0041852677 0.0041155135 0.0021623883 0.0029820034 0.007725307 0.0047956193 0.0036097935 0.002040318 0.0010288784 0.0013427734 0.0016566685 0.002040318 0.0013950893 0.002546038 0.046177454 0.0061035156 0.016985212 0.0041155135 0.010654994 0.008928572 0.00453404 0.0076032365 0.028163364 0.0028076172 0.0009940012 0.003819057 0.009486607 0.005092076 0.0064348495 0.016671317 0.08147322 0.021850586 0.02633231 0.03074428 0.020106724 0.020455496 0.038591657 0.022094727 0.034999304 0.013288225 0.009783064 0.009225028 0.015799386 0.017438617 0.012398856 0.018275669 0.013253348 0.004725865 0.004813058 0.007219587 0.0041503906 0.0043770927 0.0072370255 0.0046909875 0.0038364956 0.0023716518 0.0023890904 0.0021275112 0.0023542133 0.0026681083 0.0023367745 0.0028773716 282.0 16.347517 4610.0 0.048373103 0.0021691974 0.0017353579 0.0010845987 0.0023861171 0.0047722342 0.00086767896 0.0021691974 0.0067245117 0.0062906723 0.0013015184 0.00043383948 0.0034707158 0.009110629 0.029934924 0.0175705 0.04989154 0.024511931 0.01800434 0.00867679 0.0067245117 0.0052060736 0.010629067 0.0062906723 0.004989154 0.0054229936 0.014099783 0.0015184382 0.0015184382 0.0023861171 0.0021691974 0.0013015184 0.00086767896 0.00802603 0.0015184382 0.020824295 0.0032537961 0.0054229936 0.0023861171 0.019088937 0.0019522776 0.0010845987 0.0017353579 0.00043383948 0.0067245117 0.0032537961 0.007592191 0.00802603 0.0028199565 0.0015184382 0.0062906723 0.01626898 0.0065075923 0.010629067 0.0032537961 0.00021691974 0.0013015184 0.0006507592 0.0052060736 0.0023861171 0.00086767896 0.0017353579 0.0017353579 0.010412147 0.00086767896 0.031019522 0.014099783 0.027982647 0.01713666 0.046637744 0.004989154 0.02537961 0.010412147 0.038177874 0.0030368764 0.005856833 0.039696313 0.012581345 0.0340564 0.04425163 0.014967462 0.00086767896 0.037527114 0.031887203 0.05010846 0.011279826 0.0071583516 0.00867679 0.0047722342 0.005856833 0.0010845987 0.0010845987 0.0013015184 0.0006507592 0.0006507592 0.00021691974 5.689709 0.0 25.0 0.0 9.0 30224.0 57344.0 0.0 3.0 44.0 1.0 1.0 1.0 1.0 0.0 2613121000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -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 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 2.0 27.0 4.0 0.0 4.0 0.0 10240.0 1024.0 4096.0 11.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -10240.0 -1536.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -2.153234 0.0 0.0 -6.265519 0.0 0.0 -1.4145502 0.0 0.0 0.0 0.0 0.0 4.9857836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2483733 0.0 0.0 0.0 0.0 0.0 4.2437725 0.0 0.0 -6.2753553 -4.7822514 3.3107636 0.0 0.0 0.0 -3.8518233 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -588.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 1052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 964.0 0.0 0.0 -28.0 0.0 0.0 0.0 0.0 0.0 160.0 0.0 0.0 -10164.0 -1396.0 920.0 0.0 0.0 0.0 -28.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 28672.0 1396.0 32768.0 920.0 45056.0 0.0 0.0 11256.0 18968.0 588.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 40964.0 0.0 0.0 0.0 0.0 188.0 33036.0 0.0 0.0 0.0 0.0


Input: 0.18277481 0.006902974 0.0054354127 0.005852128 0.0069537046 0.0038265307 0.0029532409 0.0024966663 0.009468489 0.0021995304 0.0022538844 0.0028517798 0.0066312035 0.0026597288 0.003054702 0.008526351 0.006681934 0.0018734057 0.002424194 0.0021125637 0.0042794817 0.0030402075 0.002525655 0.0010580937 0.0026452343 0.0014748087 0.0011704256 0.0012755102 0.0019422541 0.00094938546 0.0010109867 0.0016088822 0.0050223214 0.0012972519 0.0017538265 0.0015291627 0.004833894 0.0012392742 0.00097112707 0.0011124478 0.0016994724 0.0010472229 0.0017357084 0.0190783 0.0015327864 0.0024459357 0.0010327285 0.0009783743 0.0034279337 0.0017429558 0.0016125058 0.006109404 0.0030691964 0.002424194 0.0019458778 0.0015436573 0.002286497 0.0027720605 0.0019639959 0.0039859693 0.018875377 0.0021705416 0.0014494434 0.0015291627 0.004859259 0.024086125 0.0016125058 0.0074102795 0.00531221 0.008417643 0.00272133 0.001953125 0.0021161875 0.0021161875 0.0013624768 0.0008008175 0.0018951473 0.0042070094 0.0013443588 0.0010907062 0.0046527134 0.0021451763 0.0012428977 0.0024459357 0.0018444167 0.003822907 0.003572878 0.0031634104 0.0018226751 0.0042831055 0.0010689645 0.0016596128 0.0014603143 0.00434833 0.0028481563 0.002387958 0.0016306238 0.0029061341 0.0013371116 0.0020038555 0.002583633 0.004583865 0.005275974 0.0009964923 0.0040403237 0.0023336038 0.0048991186 0.0010254813 0.0024278178 0.0015690225 0.0028409092 0.0034243101 0.002869898 0.00095300906 0.004359201 0.0032068936 0.01066428 0.010262059 0.0023480984 0.0012356505 0.0017791918 0.0018407932 0.0012102852 0.00094938546 0.001953125 0.0030510784 0.0017828154 0.002054586 0.0034859115 0.0028662744 0.0017465793 0.011229563 0.002536526 0.008000928 0.00095300906 0.0007645814 0.0028554036 0.010066384 0.0021415527 0.039598793 0.0014204546 0.007000812 0.0011704256 0.0010327285 0.0021343054 0.00087328965 0.001268263 0.00096750347 0.0013117463 0.0014965503 0.0007138509 0.00058340095 0.0012610158 0.0010762117 0.0007645814 0.00078269944 0.0011885436 0.00086966605 0.0007174745 0.00056890654 0.0016306238 0.0017574502 0.001203038 0.0018154279 0.0010979534 0.0010435992 0.00087328965 0.0007355925 0.0017900626 0.0010762117 0.001232027 0.0010798353 0.001148684 0.0008298064 0.0008044411 0.0007573342 0.0016052586 0.0012501449 0.0008406772 0.000851548 0.001101577 0.000934891 0.0015798933 0.0016994724 0.0019168889 0.0009819979 0.0011668019 0.0008298064 0.0013950893 0.0009421382 0.0013407351 0.001232027 0.0071674976 0.004721562 0.0030583255 0.004804905 0.00298223 0.0011124478 0.0028191675 0.0038337777 0.0030003479 0.0024495593 0.0014748087 0.0010653409 0.022752639 0.0009312674 0.0012827574 0.0011994144 0.0024459357 0.0014095837 0.0016523654 0.0014784323 0.0015110448 0.0012066617 0.0013298644 0.0009783743 0.0022828733 0.0012610158 0.0010109867 0.0017103432 0.0015653989 0.0011704256 0.0008298064 0.00097475067 0.0038446486 0.0011668019 0.0011957908 0.000934891 0.0022176483 0.0026053744 0.01726287 0.0008950313 0.028242406 0.0024785483 0.0013407351 0.004210633 0.0039606043 0.00069935643 0.0009385146 0.0010291048 0.004134537 0.0014748087 0.0010073632 0.0012175324 0.0020147264 0.0007066037 0.0028481563 0.0019313834 0.0039461097 0.0020618332 0.0014603143 0.002065457 0.0036779626 0.0015762697 0.0026162453 0.051165354 0.007273204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018948228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0065116314 0.00013664587 3.0973064e-05 3.4616955e-05 0.00010202892 4.737057e-05 0.00014757754 0.00012207031 2.9151119e-05 1.8219449e-05 2.3685285e-05 4.372668e-05 1.4575559e-05 9.1097245e-06 2.3685285e-05 0.00016761894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028695634 5.465835e-06 4.008279e-05 5.8302237e-05 0.00014757754 7.652169e-05 0.0002678259 0.00018766033 1.093167e-05 3.6438898e-06 3.6438898e-06 2.186334e-05 0.0 3.6438898e-06 5.465835e-06 2.9151119e-05 0.007546496 0.0002350309 0.0006814074 5.465835e-06 0.00013664587 9.656308e-05 0.0014411585 0.0008836433 0.00010202892 1.2753615e-05 2.0041394e-05 7.2877797e-06 7.2877797e-06 7.2877797e-06 7.2877797e-06 3.6438898e-06 0.011966535 0.00015850921 0.0008909311 0.00014575559 0.0013810343 0.0004044718 0.0016069554 0.0010567281 0.000495569 2.550723e-05 6.0124185e-05 9.656308e-05 3.8260845e-05 7.652169e-05 0.0001093167 0.00014393365 0.028032444 0.0032211987 0.0015705166 0.00080165575 0.0015850922 0.00091826025 0.004970266 0.0027930415 0.00059031014 0.00049192517 0.00050467876 0.0004901032 0.0005994199 0.0004044718 0.000429979 0.0011040986 0.022315182 0.00224828 0.0011733326 0.00078890217 0.0026582177 0.0010221112 0.0053492305 0.003111882 0.00067958544 0.000497391 0.0012407445 0.00062310515 0.00065407826 0.00066683185 0.0004700618 0.0012771834 0.012800985 0.0018292328 0.00094194553 0.00056115905 0.0018838911 0.00052836403 0.0016324627 0.0012389226 0.00067047577 0.0004372668 0.0010694817 0.0004463765 0.0005848443 0.0005392957 0.00043544485 0.0005192543 0.006781279 0.00072695606 0.0015723385 0.008973079 0.0014539121 0.0009364797 0.0040210327 0.0027292736 0.0008435605 0.00063403684 0.00060488575 0.00072695606 0.0010184672 0.0008308069 0.000827163 0.00090186275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022029137 0.0030918405 0.0021280318 0.0036001632 0.0065954407 0.005192543 0.0029333313 0.0055751516 0.011984754 0.0010348647 0.0010221112 0.0013828563 0.0060197064 0.0016379285 0.005954116 0.009370263 0.12334021 0.023723545 0.037315253 0.040212147 0.054448824 0.03288064 0.020948723 0.03224296 0.08067026 0.012651586 0.0134477755 0.015364462 0.055000875 0.018037256 0.06410513 0.069640204 0.0017800402 0.00076703884 0.0010877012 0.0008490264 0.0012207031 0.00081258744 0.0006868733 0.00075064134 0.0012334568 0.0007852583 0.0009109725 0.0004864593 0.0010111794 0.00063768076 0.0009656308 0.0009401236 930.0 11.673119 10856.0 0.03730656 0.002487104 0.0034082534 0.0018422992 0.006263817 0.002394989 0.0018422992 0.0053426675 0.0035924835 0.0019344141 0.0030397936 0.018422991 0.0046057478 0.0023028739 0.0034082534 0.0029476788 0.009579956 0.009027266 0.009948416 0.010040531 0.01040899 0.010316876 0.0092114955 0.008474576 0.008566692 0.008014002 0.008658806 0.007645542 0.024778925 0.008935151 0.006355932 0.008935151 0.008750921 0.026068533 0.0034082534 0.006724392 0.007645542 0.0075534265 0.0064480472 0.0058953576 0.0057111275 0.0050663226 0.002210759 0.0019344141 0.006724392 0.004513633 0.0032240236 0.002487104 0.010316876 0.0031319086 0.0032240236 0.009027266 0.007829771 0.004237288 0.0057111275 0.008014002 0.004053058 0.0030397936 0.002487104 0.0027634487 0.004421518 0.0035924835 0.0023028739 0.01151437 0.006355932 0.03399042 0.008658806 0.024963154 0.02302874 0.066230655 0.0098563 0.008198231 0.008935151 0.028002948 0.0041451734 0.0041451734 0.027266027 0.011790715 0.031226972 0.044675756 0.015383198 0.002394989 0.044859987 0.029384673 0.054163598 0.018791452 0.008106116 0.0036845985 0.0070928517 0.009579956 0.0027634487 0.002118644 0.004053058 0.0019344141 0.0016580693 0.002487104 5.9332824 0.0 0.0 0.0 3.0 275968.0 339968.0 0.0 0.0 83.0 1.0 1.0 0.0 0.0 0.0 1418299800.0 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 6.0 0.0 6.0 0.0 218112.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218112.0 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 -6.5698214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8543277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6633546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7501655 0.0 4.12427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26938.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218043.0 0.0 1232.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 250268.0 1232.0 327680.0 0.0 0.0 0.0 0.0 5240.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 247824.0 0.0 0.0 344.0 225280.0 0.0 0.0 0.0 0.0


Input: 0.2955562 0.0057589808 0.0039587286 0.003996757 0.007171346 0.0019120546 0.001631407 0.0015926183 0.00905526 0.0010024216 0.0014618015 0.0018405617 0.0019280264 0.0029319692 0.0007628444 0.001953125 0.0017432097 0.0060403887 0.0009202809 0.00097580196 0.0012549284 0.0004913235 0.0005187038 0.0003605067 0.0012891538 0.0015743647 0.0010663089 0.0028566734 0.0018200265 0.00045557704 0.0009735203 0.00045177425 0.0036932924 0.0011644214 0.0006594079 0.0020953503 0.0017371252 0.001255689 0.00042135172 0.00087008375 0.0014397452 0.0008746471 0.0018063365 0.00040309824 0.0012077736 0.00040537992 0.000867802 0.00066397124 0.0015971817 0.0012686186 0.00095754844 0.0010153512 0.0018595757 0.0006282248 0.00091419637 0.00029129552 0.0013188157 0.00033084478 0.0014252944 0.00043504187 0.0011408441 0.0006510417 0.00039929542 0.00041146443 0.0049649533 0.0031160254 0.0015834916 0.0011857173 0.00425763 0.0007909852 0.0011378018 0.0004692672 0.0012686186 0.00065332337 0.00032095745 0.0003163941 0.0011773511 0.00081988657 0.0008320556 0.00065332337 0.0018550124 0.00067994307 0.0006921121 0.00079402747 0.0019295475 0.0013933509 0.0006426755 0.00033464757 0.0010328442 0.0003239997 0.00026771807 0.0004647038 0.00090202736 0.00062061916 0.0002449012 0.00084270345 0.0013682523 0.0032955182 0.0007894641 0.0019356321 0.0027471525 0.0035716025 0.0012883932 0.00062670367 0.0018580547 0.0025014908 0.00029129552 0.00066397124 0.004180053 0.0013340269 0.002032984 0.0031936027 0.0022824486 0.00037039403 0.0024703075 0.0016154351 0.0036233207 0.0011849566 0.0006175769 0.0038469261 0.0023630683 0.0005308728 0.00034225322 0.00023197161 0.0005955206 0.00023577444 0.00028597156 0.0005399995 0.045944072 0.00025707018 0.00016884491 0.00021295756 0.00044797143 0.00029814057 0.0040842216 0.0003300842 0.0013188157 0.0003567039 0.0013697734 0.00030270396 0.00046774605 0.00030574622 0.00035214052 0.0005749854 0.00054760516 0.0013142524 0.0003239997 0.0002874927 0.00047763338 0.00030042225 0.00023273219 0.00028977438 0.00044112635 0.00083661894 0.0007483937 0.00021523924 0.00043960524 0.0002304505 0.00077349227 0.00022360543 0.00074306974 0.00022664768 0.00028368988 0.00024414062 0.00063506985 0.00029814057 0.00027760537 0.0011423652 0.00048752068 0.00046698548 0.00035822502 0.00041830947 0.00039853484 0.0003384504 0.00034225322 0.00027836594 0.00054304174 0.0002958589 0.0002874927 0.0003118307 0.00050577417 0.0003118307 0.0003201969 0.00035214052 0.0006662529 0.00035137997 0.000460901 0.0004768728 0.00045785875 0.00025174624 0.0002669575 0.00032323913 0.32582733 0.0004631827 0.0006548445 0.0005012108 0.0005369573 0.0006305065 0.0006130135 0.00038864755 0.0010830413 0.00027988708 0.000236535 0.0002791265 0.0021120827 0.00034529547 0.0006282248 0.0002996617 0.0005034925 0.00028825327 0.0002464223 0.00029281664 0.0008031542 0.00025859132 0.00021752094 0.00024946456 0.00059476 0.00026847865 0.00025174624 0.00028216877 0.000551408 0.004191461 0.0002593519 0.00026391525 0.0007362247 0.00033388703 0.00029205607 0.00023197161 0.0005605347 0.00025783075 0.00032476027 0.00028597156 0.00069059094 0.00040081653 0.00027836594 0.0003430138 0.0005072953 0.00033768982 0.00026619693 0.0006769008 0.001092168 0.00025022513 0.0003163941 0.00069591484 0.0012176608 0.0029076312 0.00033921096 0.00043884467 0.00074078806 0.0002996617 0.00027684483 0.0015523084 0.0051855166 0.0025349555 0.004386165 0.060341522 0.002694871 2.0931777e-05 2.6640441e-06 5.3280883e-06 5.3280883e-06 0.0 2.6640441e-06 2.6640441e-06 1.1036755e-05 0.0 0.0 0.0 0.15547477 0.0 2.6640441e-06 0.0 0.0004018901 2.0931777e-05 2.6640441e-06 5.3280883e-06 5.3280883e-06 0.0 2.6640441e-06 2.6640441e-06 1.674542e-05 0.0 0.0 0.0 0.0065539293 0.0 2.6640441e-06 0.0 0.0056572882 7.116804e-05 2.3215243e-05 1.9409465e-05 2.549871e-05 5.7086663e-06 4.1482974e-05 2.549871e-05 5.2139152e-05 7.611555e-07 1.1417333e-06 2.6640441e-06 0.030560773 1.1417333e-06 9.133866e-06 0.00013586626 0.031103477 0.0002561288 9.0958085e-05 7.0787464e-05 0.00025422595 5.937013e-05 4.4908174e-05 3.349084e-05 0.0021651068 1.7506576e-05 4.186355e-06 1.2178488e-05 0.022907356 6.089244e-06 1.2559066e-05 0.0037566829 0.008333892 0.0001796327 6.1273015e-05 2.5879286e-05 0.00028619447 1.6364844e-05 6.0511862e-05 0.00012559065 0.0030746877 2.359582e-05 6.8503996e-06 2.8923909e-05 0.0103764525 2.3976398e-05 4.4908174e-05 0.0007139639 0.024731845 0.00029190312 7.0787464e-05 6.8123416e-05 0.000543465 0.00013091875 0.00026716557 0.0001263518 0.0069889296 7.649613e-05 8.90552e-05 7.801844e-05 0.031517167 5.0236264e-05 7.040688e-05 0.001150106 0.03686238 0.00043500037 0.00021274296 0.00020360909 0.00064698217 0.00025574825 0.0005986488 0.0003748691 0.006749546 0.00014842532 9.133866e-05 0.00016060381 0.0199065 6.8884576e-05 9.438328e-05 0.011912083 0.075932495 0.0018126918 0.0015002375 0.0009483998 0.0024798445 0.0010865495 0.005535123 0.0024535847 0.019500043 0.00080834713 0.0007919823 0.0003508927 0.021135386 0.00030522337 0.00031017087 0.019374833 0.04509732 0.003727759 0.0024219968 0.0012501979 0.004106434 0.0016075604 0.0064656353 0.0037045437 0.00567822 0.0011291741 0.0006226252 0.00043766442 0.011142175 0.0004429925 0.00030902913 0.0053874585 0.029988004 0.002567758 0.0014503818 0.001135644 0.0034400423 0.001744949 0.0037308037 0.003311407 0.0037928377 0.0008193839 0.00055526296 0.0005491737 0.008825598 0.003074307 0.00050198205 0.0062194015 0.039084192 0.0044809226 0.00407104 0.0031279684 0.0040870244 0.0022256186 0.0046068938 0.0040093865 0.002946433 0.00087761227 0.000773334 0.0007729534 0.007749324 0.00087152305 0.0008764705 0.01297009 0.033822324 0.0054654772 0.0061120787 0.0046712114 0.004282261 0.0027070495 0.0059705037 0.0033913283 0.0027070495 0.0008391739 0.00093469897 0.0007097775 0.004458849 0.001414227 0.0011740824 0.015650118 0.00526339 0.0010949222 0.0010873106 0.00064203463 0.0008680978 0.00049589283 0.0014853949 0.00093279604 0.0007132027 0.00029000023 0.0003847641 0.00034099765 0.0014408673 0.00064774335 0.00046811064 0.002550632 0.0007025465 9.856964e-05 7.8779594e-05 6.31759e-05 0.00021540701 0.00011341217 0.00026221806 0.00014233608 5.4422617e-05 4.7952795e-05 5.8608974e-05 9.8950215e-05 8.372711e-05 6.507879e-05 0.000119120836 0.00013396336 9.286097e-05 3.8057774e-06 5.099742e-05 6.393706e-05 5.404204e-05 5.937013e-05 8.030191e-05 8.791346e-05 0.00010618119 0.000119120836 0.00010123368 0.00010618119 0.00036687695 0.000107703505 8.601057e-05 7.230977e-05 0.0023005924 0.0022716685 0.0023363668 0.0023538733 0.002258729 0.0025179023 0.0025338866 0.002421616 0.0022769966 0.0024905007 0.0025289392 0.0025365506 0.002638926 0.0024501595 0.0024467343 0.0026077188 3419.0 11.664229 39880.0 0.017427282 0.00052657974 0.0056168507 0.001328987 0.00070210634 0.0004012036 0.0024573721 0.0009779338 0.0014543631 0.0013540622 0.001003009 0.0013791374 0.001980943 0.0013540622 0.0042377133 0.0008024072 0.004012036 0.0057171513 0.0041875625 0.0042377133 0.001554664 0.0014543631 0.0018806419 0.0018806419 0.0018054162 0.0018304915 0.0037612838 0.0010531595 0.00082748244 0.0006018054 0.00052657974 0.0012788365 0.0009779338 0.0072968905 0.008299899 0.013766299 0.04937312 0.009252759 0.010531595 0.0024573721 0.006118355 0.0052657975 0.0006018054 0.0010531595 0.008149449 0.009077231 0.0040621865 0.003961886 0.006895687 0.00082748244 0.0070962887 0.0128134405 0.009754263 0.017627884 0.0040371115 0.0024573721 0.00072718156 0.0009779338 0.0007522568 0.0006770311 0.0018054162 0.0009277834 0.00032597795 0.015897693 0.0018806419 0.05651956 0.010707121 0.022818455 0.026454363 0.06532096 0.011960883 0.0074724173 0.006318957 0.041925777 0.0012788365 0.004689067 0.03929288 0.024398195 0.034854565 0.052733198 0.013214644 0.001980943 0.040245738 0.026028084 0.056394182 0.0222668 0.00388666 0.1031344 0.00719659 0.0062437314 0.0014292878 0.00042627883 0.002883651 0.00045135405 0.0006268806 0.0015045136 5.338296 10.0 0.0 0.0 7.0 1314816.0 1363968.0 0.0 0.0 11.0 0.0 1.0 0.0 0.0 0.0 1374763600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1306624.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1306624.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0080633 0.0 3.4328203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1306124.0 0.0 1628.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 1309684.0 1628.0 1359872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 240.0 4096.0 0.0 0.0 0.0 0.0