Input: 0.05663925 0.008298287 0.006173785 0.0056574056 0.0057608886 0.0049516526 0.0042014024 0.0054131863 0.0050478918 0.0056284303 0.0037553913 0.0044714925 0.0049557923 0.0031665743 0.0043152333 0.0046401694 0.005033404 0.0037729836 0.0049288864 0.0041579395 0.0043535223 0.003167609 0.004101024 0.0038392125 0.0050696232 0.0033549129 0.0031665743 0.002937877 0.004151731 0.0034376993 0.0037854016 0.0037874712 0.0061655063 0.0038195509 0.0034832316 0.0030279073 0.004889563 0.004161044 0.003843352 0.0037202074 0.0047301995 0.003891989 0.0033290423 0.0030951712 0.0043700794 0.0037264163 0.003722277 0.0035805055 0.0055145994 0.0039540785 0.0031096586 0.0029047627 0.0036705355 0.0030693004 0.0026843443 0.0028654393 0.0041651833 0.003318694 0.0035256597 0.0033590524 0.0040068547 0.0032255594 0.0035070328 0.003457361 0.0065970295 0.003944765 0.003618794 0.0032203852 0.0041600093 0.003227629 0.003541182 0.0030672308 0.0049971854 0.0037760881 0.003710894 0.0035877493 0.00412586 0.0031210417 0.0035660178 0.0034708136 0.005164827 0.0036281075 0.0036488043 0.003342495 0.003938556 0.0033828532 0.0033642263 0.0035391124 0.004654657 0.003637421 0.0038029936 0.0035028935 0.0041093025 0.0033932016 0.0036943366 0.003788506 0.0059047295 0.0036281075 0.0033383558 0.002950295 0.00400582 0.0030548128 0.0032721267 0.0030330813 0.004979593 0.0031634697 0.003197619 0.0030568824 0.0035825751 0.0028312898 0.003089997 0.003197619 0.004504607 0.003288684 0.003222455 0.003143808 0.003891989 0.0033352512 0.0033031716 0.0036301774 0.0046163686 0.0032990323 0.0034842666 0.0031696786 0.0040389346 0.0031965843 0.0034749531 0.003349739 0.008639781 0.004600846 0.0040213424 0.0035246247 0.0043680095 0.0034263162 0.0030227331 0.0033880274 0.004541861 0.0038350732 0.0029637478 0.003192445 0.0037305555 0.0027971405 0.0028530213 0.0029834097 0.0052351956 0.003216246 0.0035039282 0.003029977 0.0036581175 0.0031717482 0.0033042063 0.003269022 0.0045449655 0.0028468124 0.0030403251 0.0027091801 0.0035204855 0.0032245247 0.0029854793 0.0031541563 0.005014777 0.0034118285 0.003270057 0.0028043843 0.0037740183 0.0030123848 0.0030568824 0.0031852012 0.004138278 0.0030020366 0.0031272508 0.0030154893 0.0036384559 0.0028281854 0.0029192504 0.0030382555 0.004673284 0.0031169024 0.0038454216 0.0028581955 0.0035629135 0.003148982 0.0029834097 0.0031179374 0.004246935 0.0031531216 0.003336286 0.0031810617 0.0036519086 0.0031903752 0.0033331816 0.0033445647 0.006716035 0.0040627355 0.0037264163 0.0033414601 0.0041206856 0.0032493605 0.0033083458 0.0032234897 0.0043328255 0.0033259378 0.003120007 0.0030868924 0.0036529435 0.002986514 0.0030817182 0.0027930012 0.0042479695 0.003271092 0.0030941362 0.0030082455 0.0037088243 0.0030237678 0.0029306335 0.002950295 0.0039799493 0.0030993104 0.0027236678 0.0026398466 0.00352359 0.002938912 0.0035794706 0.0028861358 0.004950618 0.0032307336 0.0033963062 0.002975131 0.0038019586 0.0030734397 0.0032027932 0.002915111 0.004440448 0.0054473355 0.0034718486 0.0031334597 0.0037895408 0.003077579 0.0032493605 0.003192445 0.0046101594 0.0033155894 0.0034190724 0.0030372208 0.0037367647 0.0030910317 0.003317659 0.0032483255 0.0043421392 0.0030320466 0.0031893405 0.0028737178 0.0040078894 0.0030982755 0.0042241686 0.004511851 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 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 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 0.099184334 0.062007055 0.06244402 0.05532403 0.060604412 0.059569795 0.05494719 0.05449001 0.060475342 0.05317445 0.052133612 0.052965038 0.05643588 0.05054385 0.05666706 0.05383223 4034.0 5.701537 23000.0 0.017086957 0.010521739 0.009347826 0.008695652 0.013434783 0.012565217 0.011869566 0.011478261 0.012608696 0.009739131 0.008521739 0.008565217 0.013956522 0.010478261 0.01173913 0.009913043 0.01673913 0.012 0.008739131 0.007521739 0.009782609 0.008434783 0.007869565 0.008304348 0.01026087 0.008391304 0.009565217 0.008913044 0.011565218 0.009086956 0.009652174 0.00926087 0.018 0.010869565 0.010391304 0.009086956 0.010869565 0.008913044 0.010782609 0.008260869 0.014173913 0.011565218 0.009695652 0.008913044 0.011391304 0.009347826 0.011695652 0.00952174 0.014739131 0.009608695 0.009913043 0.009043478 0.012043478 0.009347826 0.009608695 0.009782609 0.013695653 0.009217392 0.010478261 0.009565217 0.011086957 0.009782609 0.010347826 0.010652174 0.017869566 0.011 0.009695652 0.008173913 0.013086957 0.008217392 0.009391304 0.008304348 0.015391304 0.00926087 0.008869565 0.008739131 0.011434782 0.007956522 0.010086956 0.007826087 0.013173913 0.007956522 0.008695652 0.008869565 0.011521739 0.00952174 0.008260869 0.008 0.010913043 0.008956522 0.012043478 0.008565217 0.011391304 0.009 0.010130435 0.008695652 6.5547276 0.0 0.0 0.0 14.0 966344.0 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: 0.13714345 0.010839267 0.008631112 0.0059443847 0.012566049 0.0028014733 0.0041112527 0.0036830558 0.013623947 0.0018107424 0.0018555212 0.0020514284 0.008575139 0.0023396919 0.0014413174 0.009526689 0.007539629 0.0016540167 0.002538398 0.0017043928 0.004721364 0.004503067 0.0013209744 0.00087318645 0.0024572362 0.0007836289 0.0006436951 0.0010187175 0.0021521808 0.0007836289 0.00058492296 0.0012118261 0.0055413754 0.00047857335 0.00051495613 0.00075004477 0.005866022 0.0009235626 0.0003946131 0.00056253356 0.0016148352 0.0004981641 0.00047017733 0.0029609976 0.0014245254 0.0010103215 0.0005037614 0.00036662637 0.0023760747 0.00068287656 0.0006744806 0.009870925 0.0012566049 0.0008843812 0.0007192594 0.00048417068 0.0019562736 0.004044085 0.0006604872 0.005866022 0.0014105319 0.0014637068 0.0006716819 0.0006744806 0.0030981328 0.00213259 0.0015784524 0.0017407755 0.004237193 0.024958579 0.009677816 0.0012566049 0.002303309 0.0014329214 0.0013797466 0.0006241044 0.0014777002 0.0068175714 0.0015000895 0.000817213 0.0113570215 0.0053370725 0.0036158876 0.0042287973 0.0021353888 0.0054993955 0.0055077914 0.005020822 0.0019394815 0.0037558211 0.00048137203 0.0021129993 0.0008899785 0.0058240416 0.003439571 0.002916219 0.0015588617 0.0022669265 0.0006912726 0.0015672578 0.0037026464 0.0039181444 0.005787659 0.0011334632 0.008855007 0.0040720715 0.006800779 0.00050935877 0.0021129993 0.0010271135 0.0024824243 0.0026783315 0.0026167608 0.0006464938 0.0060843183 0.0041224477 0.011894367 0.014200475 0.001779957 0.0011614499 0.0023117051 0.0013629545 0.0006213058 0.0005541376 0.002115798 0.0042931666 0.0026279553 0.0016316272 0.003559914 0.0021801675 0.0005821243 0.018448863 0.0033947923 0.013122985 0.0007836289 0.00044498924 0.0032660533 0.017961893 0.0013125783 0.04463326 0.0011446578 0.019878985 0.00052055344 0.00046457996 0.0013125783 0.0002518807 0.00070806465 0.00062970177 0.0013097797 0.0022949132 0.0002854648 0.00023508866 0.0013517598 0.0003834184 0.00018471252 0.00035263298 0.00092076394 0.0012677995 0.00020150456 0.0007164607 0.002373276 0.0024432428 0.0002630754 0.001178242 0.0010858857 0.00056253356 0.00021829661 0.0004086065 0.0014021359 0.0002882635 0.0002518807 0.00030225684 0.0014832976 0.00021549794 0.0002854648 0.00040021047 0.0015252776 0.00023788733 0.00022389396 0.00036662637 0.0015616604 0.002510411 0.0017071915 0.0012957864 0.00399091 0.0010634963 0.00096274406 0.00079762226 0.0009011732 0.0019114948 0.0011250671 0.0011894366 0.009879321 0.0035934981 0.0036102901 0.0051131784 0.0074892533 0.0010634963 0.005272703 0.006347394 0.0043995166 0.0026895262 0.00089837454 0.00075564213 0.020584252 0.00094315334 0.0016092379 0.0010718923 0.002854648 0.0015560631 0.0022305436 0.00082560896 0.0024124575 0.00029386082 0.0009571467 0.00077243417 0.00213259 0.0006604872 0.00050935877 0.0015196803 0.0013265717 0.00030225684 0.00047857335 0.00046457996 0.0027958758 0.00048417068 0.00055693625 0.00040021047 0.0028826348 0.0021297913 0.00051495613 0.00031345154 0.022252262 0.004936862 0.00049256673 0.005023621 0.0054210327 0.00028266612 0.00047577466 0.00072765537 0.004186817 0.0010215162 0.0010634963 0.0012677995 0.0032856439 0.0015840498 0.0031848915 0.0021129993 0.0054826033 0.0017939503 0.0014665055 0.0038649696 0.007668368 0.0053846496 0.006870746 0.071517326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017157387 0.0 0.0018433672 0.00034334473 0.0006712108 0.00044184527 0.007251047 0.0039920863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007652085 4.5028817e-05 0.0011411991 0.00026032285 0.0006360321 0.00029972306 0.0045465035 0.0025103567 4.362167e-05 2.6735861e-05 5.628602e-06 1.1257204e-05 6.754323e-05 3.3771616e-05 2.814301e-06 8.442904e-06 0.0029972307 0.00012101495 0.00031520173 0.00012945785 0.00044043813 0.00022092264 0.00078237575 0.00045450963 7.035753e-05 2.532871e-05 4.362167e-05 2.1107258e-05 2.392156e-05 6.0507475e-05 1.8292958e-05 3.9400216e-05 0.006944288 0.00035600908 0.0007683042 0.0010666201 0.0015126868 0.0005811532 0.0028016367 0.0012551784 0.00028846588 0.00015197226 0.00020262969 0.00020262969 0.00039400216 0.00019559394 0.0002307727 0.00033912327 0.0029845664 0.00017167236 0.00047420975 0.0002814301 0.00084429036 0.0003982236 0.0014831367 0.0009244979 0.00028987302 5.065742e-05 5.206457e-05 5.206457e-05 0.0002673586 6.754323e-05 0.00010131484 0.00020262969 0.011302234 0.0016942093 0.0012608069 0.0016055588 0.0028719944 0.00285933 0.0010989846 0.0032941394 0.009340665 0.00058818894 0.000626182 0.0016097802 0.0038935856 0.00091746217 0.0032730321 0.011400734 0.084972195 0.015308391 0.0074649337 0.013557896 0.026309494 0.029001374 0.012646062 0.020853972 0.061499517 0.005112178 0.00495317 0.008618797 0.036334034 0.0076548993 0.022762068 0.057936613 0.090856895 0.0169632 0.010456536 0.016576234 0.03203097 0.030561903 0.017786384 0.024516784 0.06089022 0.0065122927 0.007335476 0.010951853 0.03474536 0.010472015 0.023551479 0.052478272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 649.0 9.812018 6368.0 0.042870604 0.0012562814 0.0009422111 0.0014133166 0.025439698 0.0010992462 0.0007851759 0.0067525124 0.0065954775 0.0012562814 0.0010992462 0.0045540202 0.0045540202 0.011934673 0.0023555276 0.0020414572 0.0056532663 0.0025125628 0.0009422111 0.0015703518 0.0029836684 0.0012562814 0.0015703518 0.0012562814 0.0059673367 0.010207286 0.0021984924 0.0039258795 0.005182161 0.0012562814 0.0014133166 0.0007851759 0.0061243717 0.003611809 0.0015703518 0.0054962314 0.012248743 0.016174624 0.009893216 0.0018844221 0.0084799 0.0037688443 0.0010992462 0.0009422111 0.008008794 0.0029836684 0.004396985 0.0031407035 0.037374374 0.011777638 0.008008794 0.024654523 0.008008794 0.0032977387 0.01727387 0.010835427 0.0045540202 0.0021984924 0.0006281407 0.001727387 0.002669598 0.0021984924 0.002669598 0.006909548 0.010207286 0.043341707 0.008636935 0.03125 0.017744975 0.05433417 0.006909548 0.012248743 0.03831658 0.03580402 0.014447236 0.003611809 0.026538944 0.011149498 0.034076635 0.04004397 0.015703518 0.0009422111 0.046796482 0.038002513 0.05370603 0.021984925 0.008008794 0.003454774 0.0054962314 0.008008794 0.0018844221 0.0010992462 0.002669598 0.0015703518 0.0015703518 0.0021984924 5.689438 0.0 0.0 0.0 3.0 357312.0 995328.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1403893900.0 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 10.0 0.0 5.0 1.0 5.0 1.0 326656.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -326656.0 0.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3421073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.574615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24710.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -326268.0 0.0 528332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 404112.0 528332.0 438272.0 0.0 0.0 8176.0 968192.0 17932.0 966656.0 28.0 333056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 382056.0 0.0 0.0 1148.0 331776.0 64.0 403908.0 0.0 0.0


Input: 0.2360738 0.015767416 0.024841309 0.006037394 0.01103719 0.0026957195 0.0022023518 0.0017344157 0.008066813 0.0024820964 0.0017038981 0.0010732015 0.006337484 0.0019429525 0.0010528564 0.0037282307 0.025604248 0.0010477701 0.0008036296 0.0005950928 0.005605062 0.003595988 0.0007578532 0.0009918213 0.0061950684 0.001373291 0.000579834 0.00069173175 0.0040334067 0.0009256999 0.0005645752 0.0008036296 0.01003011 0.0005645752 0.00057474774 0.0006052653 0.032129925 0.003229777 0.0005849202 0.00048319498 0.0031840007 0.0005493164 0.00050354004 0.0031534832 0.0019022623 0.00047810873 0.00068155926 0.00031026205 0.00537618 0.0017293295 0.0019989014 0.0048573813 0.003931681 0.0029347737 0.003092448 0.0020548503 0.0032908123 0.0020446777 0.0019276937 0.0049997964 0.0022735596 0.0017852783 0.0015207926 0.002955119 0.00734965 0.0036417644 0.0011037191 0.0024210613 0.01230367 0.0030975342 0.0046335855 0.0013682047 0.003245036 0.0013275146 0.0005289714 0.0008036296 0.008046468 0.0031789143 0.0034332275 0.00097147626 0.012359619 0.0063069663 0.005396525 0.0061543784 0.0051523843 0.0030466716 0.006652832 0.005004883 0.0018819174 0.0010782877 0.0010732015 0.002146403 0.0024820964 0.0019429525 0.004465739 0.0032246907 0.001373291 0.0020141602 0.0006306966 0.0012969971 0.005243937 0.004435221 0.0011545817 0.00055948895 0.0048268638 0.002553304 0.008661906 0.00057474774 0.0033671062 0.0009104411 0.0017242432 0.0018717448 0.001759847 0.00034077963 0.0023956299 0.0011037191 0.009287517 0.0040740967 0.0012969971 0.00062561035 0.0015258789 0.00097147626 0.00062561035 0.0005493164 0.003326416 0.0010375977 0.0016428629 0.00047302246 0.0032552083 0.001836141 0.000386556 0.008951823 0.003346761 0.0070699058 0.0019429525 0.0004272461 0.0015818278 0.013259888 0.00072224933 0.043177288 0.0020446777 0.012827556 0.001276652 0.0004526774 0.02742513 0.00037638345 0.0002644857 0.0010884603 0.0011342367 0.00035095215 0.0005950928 0.00031026205 0.00077819824 0.001042684 0.00031026205 0.00017293294 0.00070699054 0.00030517578 0.00048828125 0.00027974448 0.0013020834 0.001276652 0.000386556 0.0003153483 0.0006713867 0.0004374186 0.00029500326 0.00017293294 0.0007425944 0.00025431314 0.00035095215 0.0005340576 0.0007019043 0.00021362305 0.0005493164 0.00055440265 0.0012817383 0.00026957193 0.00031026205 0.0002746582 0.00067647296 0.00032552084 0.0004526774 0.00042215982 0.0035095215 0.0008392334 0.00023905437 0.0006713867 0.00077819824 0.0003000895 0.00071207684 0.00038146973 0.0076904297 0.0030415852 0.0039164224 0.003774007 0.0059254966 0.0008036296 0.002690633 0.0056915283 0.0019022623 0.0016835531 0.0007324219 0.00088500977 0.009521484 0.000890096 0.0039978027 0.001546224 0.0015055338 0.0013173422 0.00097147626 0.0006663005 0.0005289714 0.00055948895 0.00044250488 0.0010121664 0.0018259684 0.0008036296 0.00040690103 0.0015106201 0.002243042 0.0017496744 0.00055440265 0.0011037191 0.0017242432 0.00072733563 0.00067647296 0.0003712972 0.0012512207 0.00069173175 0.00039164224 0.00027974448 0.016459147 0.004460653 0.00037638345 0.0026194255 0.002512614 0.00061035156 0.0004933675 0.00042215982 0.0022888184 0.0021006267 0.0005137126 0.0010681152 0.00090026855 0.00035603842 0.0017445883 0.0012105306 0.0026245117 0.0010681152 0.0006510417 0.0006154378 0.0013987223 0.00070699054 0.0023040771 0.031351727 0.03657508 5.1128927e-06 5.1128927e-06 3.8346694e-05 5.1128927e-06 0.0 0.0 0.0 0.0 0.0 2.5564464e-06 5.1128927e-06 0.0 0.0 7.669339e-06 5.1128927e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009420505 2.5564464e-06 4.090314e-05 7.669339e-06 0.00026075752 0.00016361257 0.00036812827 0.00019940281 0.0 0.0 2.5564464e-06 0.0 0.0 0.0 0.0 5.1128927e-06 0.0041542253 0.0 0.0009637803 5.1128927e-06 7.669339e-06 1.5338677e-05 5.624182e-05 2.5564463e-05 0.0 0.0 5.1128927e-06 2.5564464e-06 0.0 0.0 0.0 0.0 0.008745603 6.6467604e-05 0.00015338678 9.714496e-05 0.00020195926 0.00021729794 0.0005164022 0.0002428624 1.0225785e-05 3.8346694e-05 8.180628e-05 1.2782231e-05 2.5564463e-05 1.5338677e-05 2.045157e-05 2.5564463e-05 0.012316958 0.0006518938 0.00061866 0.00064422446 0.0006007649 0.00059820845 0.00023008017 4.6016034e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01813543 0.0009637803 0.0019505685 0.00044737812 0.00032466868 0.0003527896 0.0004090314 0.00037835405 0.00069279695 0.00020195926 0.00013293521 0.00026331397 0.0006212165 0.0001763948 0.0004090314 0.0007183614 0.01733015 0.0023263663 0.0008282886 0.0003374509 0.00069535343 0.0007643775 0.00074648234 0.0006084342 6.391116e-05 0.00035023314 0.00013293521 0.00026842687 0.00013549166 6.6467604e-05 9.458851e-05 0.0014290535 0.027630072 0.003144429 0.0022522293 0.0025743414 0.006685107 0.004289717 0.007027671 0.0033259366 0.00068257115 0.0009331029 0.0002428624 0.00029143487 0.00038857985 0.0002812091 0.00039369272 0.0026842686 0.015878089 0.0035611298 0.0008691918 0.0022471163 0.0025513335 0.001495521 0.003990613 0.0018892138 0.0007643775 0.00039880563 0.00048061193 0.00058286975 0.00040391853 0.00035023314 0.00044737812 0.000738813 0.0058568185 0.001145288 0.00025564464 0.00043203944 0.0012066427 0.0006723454 0.0023289225 0.0018431979 0.0007720468 0.00018662059 0.00018150768 0.00023008017 0.00016105612 0.00014827389 0.00015083034 0.00013549166 0.007830395 0.0016565772 0.00123732 0.016305014 0.002206213 0.0017153755 0.0034793233 0.0028402118 0.002096286 0.0011836346 0.0010864896 0.0011759653 0.0010558123 0.0011171671 0.0010328044 0.0011018284 0.004427765 0.0013932632 0.00036557182 0.000761821 0.0023877209 0.0014622873 0.0011376187 0.0006135471 0.0029348005 0.0004345959 0.00033233804 0.0009970141 0.0077920486 0.0003579025 0.0036761698 0.0075747506 0.07150125 0.013927519 0.018191673 0.008725151 0.014482268 0.020535933 0.008786506 0.007030227 0.0390625 0.012056201 0.0023059146 0.0035585733 0.017220223 0.004570926 0.011084751 0.013976092 0.08414799 0.025556793 0.031482637 0.014374898 0.026083423 0.03631432 0.012232596 0.012089435 0.05601174 0.019993966 0.0037375246 0.0041056527 0.027152017 0.010192552 0.01691345 0.022752373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 992.0 12.96371 12860.0 0.010186626 0.0010886469 0.0008553655 0.000777605 0.025427682 0.0008553655 0.000777605 0.00054432347 0.0041990667 0.00054432347 0.00062208396 0.0006998445 0.003888025 0.0006998445 0.0033437014 0.00046656298 0.013841368 0.00622084 0.009720062 0.009409021 0.010108865 0.0073872474 0.009020218 0.007853811 0.01251944 0.007853811 0.0090979785 0.0118195955 0.010342146 0.0066874027 0.0073094866 0.020373251 0.052566096 0.03592535 0.006065319 0.018118195 0.019828927 0.01244168 0.0059097977 0.0064541213 0.012363919 0.007698289 0.00031104198 0.0010886469 0.012830482 0.0024105755 0.0041213064 0.0020995333 0.02986003 0.017573873 0.01562986 0.041757386 0.0110419905 0.007698289 0.016407466 0.012130638 0.011508553 0.0050544324 0.010497667 0.0030326594 0.003421462 0.00311042 0.0034992225 0.0066874027 0.0029548989 0.023017107 0.0043545878 0.013063763 0.025816485 0.055365473 0.008864697 0.004043546 0.0073094866 0.032503888 0.008942457 0.002021773 0.02674961 0.0074650077 0.01710731 0.019984448 0.009875583 0.00054432347 0.027293935 0.0087091755 0.035381027 0.011897356 0.0038102644 0.0021772939 0.009953343 0.0066874027 0.0022550544 0.0003888025 0.0041990667 0.0011664075 0.002021773 0.0003888025 5.927527 0.0 0.0 0.0 1.0 196608.0 196608.0 0.0 122.0 175.0 1.0 1.0 0.0 0.0 0.0 1156764200.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 139264.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 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 -5.933833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.344579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2360976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3672266 0.0 2.7958763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8910.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25835.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137834.0 0.0 2936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 -1.0 -1.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 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 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 4.0 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 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 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 -1.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 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 -2.0 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 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -3.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 2.0 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 -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 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 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 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 -2.0 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 1.0 1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 1.0 1.0 2.0 1.0 2.0 1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 2.0 -2.0 -3.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 2.0 0.0 2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -3.0 -3.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 2.0 1.0 1.0 -4.0 0.0 0.0 1.0 0.0 -2.0 6379.0 162816.0 380.0 157524.0 2936.0 180224.0 0.0 0.0 0.0 0.0 7216.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1580.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.13997407 0.00848113 0.004113507 0.003364597 0.006132998 0.0038801597 0.0019938352 0.001926641 0.007746881 0.001484381 0.0016725247 0.0014794942 0.0044946815 0.0013487709 0.0012094956 0.0038227392 0.0060572517 0.0014794942 0.0011667357 0.0008808549 0.002428765 0.0019486318 0.0007550185 0.000812439 0.0022687207 0.00074280135 0.00081732584 0.0007000414 0.00159067 0.00059497415 0.00058520044 0.00055710104 0.0038251826 0.0005778701 0.0006426209 0.0005351102 0.0040951814 0.0012986807 0.00045814228 0.0005534359 0.0011667357 0.0006438426 0.00057542673 0.00092972344 0.0010897678 0.0023090371 0.0006670552 0.00051067595 0.008903842 0.0027439669 0.00648363 0.010053474 0.006575258 0.0019913919 0.006001053 0.0017018459 0.007092043 0.0020414821 0.00070492824 0.0014623902 0.0016444254 0.00096270966 0.000459364 0.0005216714 0.011617267 0.0038764947 0.004836761 0.008710812 0.0038178524 0.032131046 0.0032253216 0.0026731074 0.003338941 0.0035014288 0.0021599883 0.0023236978 0.0026743293 0.00432975 0.0011447449 0.0015112587 0.008940494 0.0021160066 0.0020292648 0.009628318 0.0031630143 0.013656305 0.0031801183 0.0020683596 0.001900985 0.0064286524 0.0027060937 0.0032167698 0.0015454666 0.004576536 0.0023469103 0.0035576276 0.005689516 0.0044103833 0.0018521165 0.0032387606 0.009200719 0.0061183376 0.0039656796 0.0015723443 0.007844618 0.0042088004 0.003767762 0.0014330691 0.0034965419 0.0017824789 0.0044335956 0.0040218784 0.0031788966 0.0017372755 0.0048990683 0.0038398432 0.010191528 0.0055233636 0.0018362342 0.0011471882 0.0028221565 0.0012473688 0.00052411476 0.000582757 0.0016322082 0.0024861854 0.0010494513 0.00086375093 0.005177619 0.0011435231 0.0010751073 0.008949046 0.0030823813 0.0031862268 0.0010213519 0.0006108564 0.002629126 0.014997746 0.0022051916 0.051077366 0.0011813962 0.010862248 0.00084664696 0.000671942 0.0026230174 0.00043859487 0.0007183671 0.0006377341 0.0011093152 0.00092483655 0.001492933 0.00056076614 0.0011594055 0.0005815353 0.000493572 0.0007037066 0.00094438397 0.0004703594 0.000459364 0.00041416063 0.0008857418 0.003287629 0.00046058572 0.0025191717 0.0014061914 0.00080755213 0.00055710104 0.0004471469 0.001033569 0.0004520337 0.0005033457 0.00048135483 0.00083687325 0.00044470344 0.00073302764 0.00064995117 0.0013084543 0.0006768289 0.0017091761 0.00053022336 0.0008674161 0.0006621683 0.0007037066 0.0015601272 0.0031117024 0.0025032894 0.00459364 0.0008136607 0.0009883656 0.00047402456 0.0008429818 0.00070614996 0.011849392 0.0011349712 0.002258947 0.010222071 0.0043040942 0.0010457861 0.0035136458 0.0033267238 0.0018472297 0.0017433842 0.00097126164 0.0012864636 0.0016615294 0.0008820766 0.0009798136 0.00093094516 0.0028392605 0.0011361928 0.002938219 0.0013365537 0.0017910309 0.0007586836 0.0015845614 0.00086497265 0.0033267238 0.00064628606 0.0010726638 0.0017653749 0.0014782725 0.0007098151 0.0005558793 0.00083198637 0.0024092176 0.00064995117 0.0008674161 0.000978592 0.002403109 0.0024018872 0.0005436622 0.0006853809 0.027271073 0.0059521846 0.0010799941 0.00582757 0.0064530866 0.0010299039 0.000671942 0.0007452448 0.00715435 0.0009651531 0.0017946961 0.0009077326 0.009026014 0.002144106 0.0040463125 0.0025619317 0.009944742 0.0030164088 0.0030359563 0.003568623 0.014706979 0.003947354 0.004249117 0.06809216 0.0 0.0 0.0 0.00995898 0.0 0.0 4.5279212e-05 2.0803964e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023367745 0.0 0.0 0.00010401982 6.547129e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022248002 0.0 0.0 0.0001694911 0.000111974274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020375645 0.0 0.0 0.00029492678 0.00017377429 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017536517 0.0 0.0 0.0005109208 0.0002416931 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009591239 0.0 0.0 0.0039821235 0.0027173648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022535587 0.0 0.0 0.0016361705 0.0011228021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054396247 3.6712877e-06 1.7744556e-05 6.608318e-05 0.0001468515 7.464951e-05 6.1188125e-06 7.3425754e-06 1.5297031e-05 0.0 0.0 1.8356438e-06 7.954456e-06 3.0594063e-06 4.89505e-06 0.00035366736 0.0060154046 0.00020314458 0.00021048715 0.0005433506 0.0018852062 0.00048155055 0.0024144836 0.0010506001 0.00019213071 9.9124765e-05 9.117031e-05 7.4037634e-05 0.0006626674 0.0003750832 0.0003952753 0.002850143 0.013145045 0.0006326852 0.0009331189 0.0020534736 0.0040739053 0.003560537 0.006873262 0.0031664856 0.0004478971 0.00023251488 0.0003065525 0.00032613272 0.0020546974 0.0010897606 0.0011068932 0.008869219 0.020493738 0.0012855625 0.0012170319 0.0020504142 0.007218975 0.0025270695 0.006602199 0.0032129886 0.0023600261 0.00096187735 0.000963713 0.0013179922 0.004004151 0.0026145687 0.002638432 0.009453566 0.019955896 0.001541329 0.0012347763 0.0022376499 0.009303043 0.0039906898 0.005807977 0.0033628994 0.005735163 0.0013950893 0.0017554874 0.0022749745 0.0038120202 0.0017493685 0.0039919135 0.0095459595 0.07307637 0.009692811 0.007188381 0.009953473 0.041529607 0.03021592 0.021034643 0.013775894 0.050822858 0.0052242423 0.005978692 0.009027084 0.01657525 0.0069840127 0.027094102 0.06029784 0.059496276 0.010001811 0.009003221 0.011524172 0.027764725 0.030219592 0.017447794 0.014425713 0.049190972 0.0058110366 0.0064008897 0.009035039 0.020832721 0.010799704 0.024766507 0.047916424 0.00023067923 4.7114856e-05 8.50515e-05 5.1398027e-05 8.9334666e-05 9.7901e-05 4.283169e-05 6.4859414e-05 0.00013277824 2.8758419e-05 3.304159e-05 2.8758419e-05 8.3215855e-05 5.9352482e-05 7.220199e-05 0.000105855455 5347.0 18.41238 98451.0 0.004753634 0.00011173071 0.00048755217 8.1258695e-05 0.002925313 0.0004977095 0.00011173071 0.00015236005 0.00034534946 0.0003555068 0.00063991226 0.00050786685 0.0004367655 0.012442738 0.0009852618 0.0004062935 0.04920214 0.015276635 0.049750637 0.011193385 0.045667388 0.012991235 0.046500288 0.010472215 0.048684116 0.012960762 0.0007211709 0.00044692284 0.0008329016 0.00046723752 0.00010157337 0.00012188804 0.0011884085 0.007445328 0.0064600664 0.012666199 0.006226448 0.0140780695 0.0041238787 0.002681537 0.004296554 0.015357894 0.0021431982 0.0034839667 0.0059521995 0.005820154 0.0038699454 0.008044611 0.011264487 0.0022854009 0.0052208714 0.017866757 0.01140669 0.0054646474 0.00514977 0.003047201 0.0024276036 0.004672375 0.0013306112 0.0026104357 0.0010157337 0.0024377608 0.0025393344 0.019370042 0.00022346142 0.027089618 0.012188804 0.023412662 0.022975897 0.046398718 0.010401113 0.009070502 0.016881494 0.030258708 0.007303125 0.0063483356 0.02098506 0.010705833 0.03323481 0.029821942 0.01655646 0.0027323237 0.033955976 0.02494642 0.036779717 0.009781515 0.009690099 0.005373231 0.012066917 0.0058303117 0.00091416034 0.00025393342 0.00047739485 0.00022346142 0.00026409078 0.0002742481 5.643464 0.0 2.0 14.0 4.0 818523.0 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 -6.59692 0.0 0.0 0.0 0.0 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: 0.66667694 0.004753846 0.0020615384 0.0021538462 0.0047692307 0.0018 0.00092307694 0.0009692308 0.003923077 0.0005846154 0.0018153846 0.00032307694 0.0024 0.0018461539 0.00044615383 0.0020153846 0.0035384616 0.00026153846 0.00015384615 0.00013846153 0.0015692308 0.0017692308 0.00044615383 0.00041538462 0.0012153846 0.00023076923 0.00023076923 0.00035384615 0.00083076925 0.00035384615 0.00013846153 0.00023076923 0.010153846 0.00027692306 0.00026153846 0.00024615385 0.006046154 0.00043076923 0.00015384615 0.0004 0.00076923077 0.00024615385 0.0005230769 0.0008 0.00041538462 0.0031846154 0.0011538462 0.0008461538 0.0021076924 0.0013846154 0.0015846154 0.003753846 0.00063076924 0.00092307694 0.00076923077 0.00075384614 0.0010461538 0.0007230769 0.00024615385 0.0020769231 0.00043076923 0.0006923077 0.00021538461 0.00013846153 0.008861538 0.0008461538 0.00047692307 0.0008461538 0.0028 0.0021384615 0.0015230769 0.0014461539 0.0011076923 0.0009384615 0.00015384615 0.0004 0.0018 0.0010615385 0.00046153847 0.00038461538 0.0031846154 0.0015692308 0.0017538462 0.0020615384 0.0015538462 0.0016461539 0.0021538462 0.0018307692 0.00021538461 0.0009384615 9.2307695e-05 0.0013692308 0.005353846 0.0015846154 0.002 0.0015846154 0.0004923077 0.0042 0.0012923077 0.0022307693 0.0034 0.006630769 0.0037076923 0.0014461539 0.003169231 0.002846154 0.002353846 0.00043076923 0.003169231 0.0014307692 0.0045846156 0.0029538462 0.0027076923 0.0002923077 0.0051384615 0.0025692307 0.007369231 0.0040769232 0.00083076925 0.00089230767 0.00092307694 0.0006769231 0.00016923077 0.0012307692 0.0007076923 0.0013076923 0.00024615385 0.00012307693 0.0014769231 0.0011076923 0.00027692306 0.006276923 0.0015076923 0.0028307692 0.00023076923 0.0008769231 0.0015538462 0.0047692307 0.0017538462 0.013292308 0.00023076923 0.0024153846 0.00033846154 0.00047692307 0.009353846 0.0016461539 0.00053846155 0.0007230769 0.0005076923 0.0005538461 0.00010769231 6.153846e-05 0.00026153846 0.0018461539 7.6923076e-05 4.6153848e-05 0.0002923077 0.0002 4.6153848e-05 9.2307695e-05 0.00023076923 0.00086153846 0.00010769231 0.0005230769 0.00035384615 0.00041538462 9.2307695e-05 0.0 0.00033846154 4.6153848e-05 0.00010769231 0.00010769231 0.00010769231 0.00047692307 0.00044615383 3.076923e-05 0.00018461539 4.6153848e-05 6.153846e-05 0.00012307693 0.00026153846 6.153846e-05 9.2307695e-05 9.2307695e-05 0.0009384615 0.0002923077 7.6923076e-05 0.00012307693 0.00026153846 7.6923076e-05 0.00023076923 0.00018461539 0.0040153847 0.0012307692 0.0007846154 0.0024923077 0.0024615384 0.00010769231 0.00066153845 0.0015230769 0.0006769231 0.0011230769 0.00026153846 0.0003076923 0.003907692 0.00012307693 0.00026153846 0.0002 0.00044615383 0.0005846154 0.00036923078 0.00023076923 0.00012307693 0.0002923077 0.0002923077 0.0015384615 0.0007846154 0.0006461539 0.0002 0.0003076923 0.00024615385 7.6923076e-05 7.6923076e-05 0.00012307693 0.0005076923 0.00033846154 0.00018461539 0.00023076923 0.00026153846 0.00033846154 9.2307695e-05 7.6923076e-05 0.003523077 0.0007076923 0.00012307693 0.0013538462 0.001 0.00026153846 0.0003076923 0.0002 0.0016615385 0.0004 0.00053846155 0.0007230769 0.00041538462 0.00018461539 0.00076923077 0.0007076923 0.0011230769 0.0006 0.0002923077 0.00023076923 0.0010615385 0.00033846154 0.00063076924 0.010753846 0.46586758 0.0 0.00029139366 0.0 7.875504e-06 0.0 0.0 0.0 0.00010238155 0.0 7.875504e-05 0.0 2.3626511e-05 0.0012443296 3.1502015e-05 9.4506046e-05 0.07740045 0.0002205141 0.00068516884 0.0 3.1502015e-05 0.00069304433 7.875504e-06 0.0 0.00083480345 0.0 0.0003937752 0.0 0.0 0.00033864667 3.937752e-05 0.0 0.014790197 7.875504e-06 3.1502015e-05 0.0 7.875504e-06 0.0 0.0 0.00011025705 0.0003622732 0.0 0.0 0.0 0.00037802418 0.0 7.875504e-06 0.00043315272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027328 0.00042527722 0.0005670363 7.875504e-05 0.00043315272 0.00026776714 0.0005512853 0.00023626511 0.0003701487 0.0010080645 0.00016538559 8.663054e-05 0.00017326108 0.00017326108 0.00010238155 0.00029139366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012144027 2.3626511e-05 2.3626511e-05 0.00045677923 2.3626511e-05 4.7253023e-05 0.00069304433 2.3626511e-05 7.0879534e-05 0.0007166709 7.0879534e-05 4.7253023e-05 0.0007166709 7.0879534e-05 7.0879534e-05 0.00092930946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025248867 0.00022838962 0.009348223 0.006544544 0.00203188 0.0048040575 0.017081968 0.00907258 0.0005591608 0.0019767515 0.00018901209 0.00011025705 0.0014097153 0.00023626511 0.00021263861 0.0015908518 0.023500504 0.0007717994 0.0017089844 0.0014254663 0.0024965347 0.0021185107 0.0076156124 0.0034337197 0.001110446 0.0010631931 0.00022838962 0.00016538559 0.0007639239 0.00043315272 0.00048828125 0.0010631931 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042055193 0.00010238155 0.0014018397 0.0008820564 0.00085055444 0.0006221648 0.0041740173 0.0020870087 0.00041740172 0.00016538559 2.3626511e-05 7.875504e-05 0.00042527722 7.0879534e-05 9.4506046e-05 0.0005276588 0.015341482 0.0024414062 0.002874559 0.0016144783 0.0059302547 0.00515058 0.0027170489 0.0031265751 0.009938886 0.0026461694 0.0005591608 0.00044890374 0.0043866555 0.00083480345 0.0024729082 0.004032258 0.040818736 0.007844002 0.007977885 0.0055364794 0.013774256 0.014325541 0.0061901463 0.0069619454 0.026564075 0.009127709 0.002591041 0.0022051411 0.012301537 0.0030635712 0.0061980216 0.011939264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 197.0 29.203045 5753.0 0.09073527 0.0015644012 0.00086911174 0.0 0.004345559 0.00017382235 0.00052146707 0.0031288024 0.0015644012 0.0013905788 0.0036502695 0.002433513 0.00052146707 0.030940378 0.009560229 0.0026073353 0.018772814 0.014253433 0.015470189 0.0041717365 0.0031288024 0.006431427 0.007822006 0.0052146707 0.005040848 0.003476447 0.00086911174 0.007300539 0.00052146707 0.0022596905 0.00017382235 0.0 0.0019120459 0.004867026 0.0017382235 0.0052146707 0.0036502695 0.004519381 0.0029549801 0.004345559 0.002433513 0.002433513 0.0 0.0010429341 0.0036502695 0.0026073353 0.0027811576 0.0015644012 0.005388493 0.0017382235 0.009212585 0.008169651 0.0046932036 0.0033026247 0.0033026247 0.0031288024 0.0003476447 0.004345559 0.0 0.0013905788 0.056492265 0.0015644012 0.0015644012 0.0017382235 0.00086911174 0.045367636 0.009907874 0.01929428 0.023292195 0.07109334 0.020858683 0.016165478 0.013384321 0.030940378 0.0012167565 0.002433513 0.032330956 0.013731966 0.05110377 0.03250478 0.02729011 0.0020858683 0.05249435 0.022596907 0.047627326 0.013731966 0.0046932036 0.0071267164 0.0057361377 0.0057361377 0.00086911174 0.011993743 0.0003476447 0.011993743 0.00017382235 0.0 5.409724 0.0 0.0 0.0 1.0 65000.0 73728.0 0.0 0.0 52.0 0.0 1.0 0.0 0.0 0.0 928488900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 15872.0 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 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 -1536.0 31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.002748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9889597 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4566245 -5.0208583 0.51258254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15781.0 -1448.0 31348.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36864.0 31348.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 37164.0 0.0 0.0 0.0 0.0


Input: 0.26948798 0.015619029 0.00745128 0.010173863 0.00993504 0.0068781045 0.012991976 0.0039166985 0.0064482233 0.0043943445 0.0036301108 0.0032002293 0.0046331678 0.0049197553 0.0023404662 0.0046331678 0.013421857 0.0011941154 0.00186282 0.0040122275 0.0031524647 0.0026748185 0.002244937 0.0023404662 0.0029614063 0.0022927015 0.00124188 0.0018150554 0.00186282 0.0033912878 0.0010985861 0.0017672908 0.0061616353 0.0010030569 0.0017672908 0.0013374093 0.0030569355 0.0024359955 0.0011941154 0.0009075277 0.00186282 0.0009552923 0.0024359955 0.002722583 0.0014329385 0.0036778755 0.0060183415 0.0032957585 0.020920902 0.0074990448 0.0044421093 0.004585403 0.0038211693 0.0026748185 0.0022927015 0.0032957585 0.004107757 0.002722583 0.0035823463 0.002101643 0.0026748185 0.0020538785 0.0016717615 0.001623997 0.0022927015 0.0032002293 0.0010030569 0.0045376387 0.0052541075 0.0074035153 0.0021494078 0.0033912878 0.0035345815 0.0028181123 0.0008119985 0.0009552923 0.0015284678 0.0022927015 0.0012896446 0.0015284678 0.0031524647 0.00124188 0.0020061138 0.0045376387 0.002244937 0.0071646925 0.0023882308 0.0020061138 0.0019105846 0.0029136415 0.0022927015 0.0017672908 0.0014807031 0.002865877 0.0016717615 0.005349637 0.0016717615 0.00807222 0.0017672908 0.007212457 0.006591517 0.012275507 0.0040122275 0.004203286 0.0042510508 0.011224684 0.0038211693 0.0013374093 0.006973634 0.0050152848 0.0072602215 0.006495988 0.0046331678 0.0011463508 0.009600688 0.006687046 0.015714558 0.009600688 0.0015762324 0.0032957585 0.0023404662 0.0026270538 0.0014329385 0.0008119985 0.00124188 0.0015284678 0.0009552923 0.0013374093 0.0029614063 0.0016717615 0.0037734048 0.0056362245 0.0026270538 0.0040122275 0.0043465802 0.0009552923 0.0020538785 0.0053018723 0.0020061138 0.010078334 0.0018150554 0.0020538785 0.00085976307 0.0009075277 0.00124188 0.00085976307 0.0015284678 0.0008119985 0.0018150554 0.0007642339 0.0010985861 0.0005731754 0.0009552923 0.0011941154 0.0011463508 0.00062094 0.0011463508 0.0008119985 0.00038211694 0.0009075277 0.0021494078 0.0019105846 0.0010508215 0.0018150554 0.0011463508 0.0013851739 0.0006687046 0.00085976307 0.001623997 0.0009552923 0.0009552923 0.00071646925 0.0012896446 0.00052541075 0.0009075277 0.0008119985 0.0014807031 0.0011941154 0.0010030569 0.0008119985 0.00124188 0.00085976307 0.0013374093 0.0010985861 0.0012896446 0.0009075277 0.0006687046 0.0010985861 0.0009075277 0.00124188 0.0013374093 0.00085976307 0.0055406955 0.0023404662 0.0015284678 0.0045376387 0.002101643 0.00085976307 0.0025315247 0.0023404662 0.002244937 0.0010985861 0.0006687046 0.00052541075 0.0014329385 0.0010508215 0.0012896446 0.0010030569 0.0020061138 0.0011463508 0.00085976307 0.0008119985 0.0009075277 0.0007642339 0.00071646925 0.0009552923 0.0017672908 0.0009075277 0.0009075277 0.0012896446 0.0013851739 0.0013851739 0.0008119985 0.0006687046 0.0013374093 0.0009075277 0.0010985861 0.00052541075 0.0013851739 0.0014329385 0.0013374093 0.0010508215 0.0068781045 0.0014807031 0.0014329385 0.0031047 0.0029614063 0.00085976307 0.00085976307 0.0011463508 0.0021971723 0.0008119985 0.0011941154 0.0010508215 0.0019583493 0.00085976307 0.0015284678 0.002722583 0.0018150554 0.0012896446 0.00124188 0.0009552923 0.0028181123 0.0024359955 0.0021494078 0.0217329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.045127466 0.0005910773 0.0005653783 0.0009251645 0.00087376643 0.00028268914 0.0017475329 0.00053967925 5.1398027e-05 0.0 0.0 0.00010279605 0.0 0.0 5.1398027e-05 0.0017732319 0.0416581 0.00053967925 0.00048828125 0.0007452714 0.0012078537 0.00071957236 0.0031866776 0.002210115 0.0 0.0 0.0 7.709704e-05 0.0 0.0 5.1398027e-05 0.0017475329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035310443 0.00043688322 0.00053967925 0.0060649673 0.0014905428 0.00066817435 0.003983347 0.0013877467 0.0002055921 0.00035978618 0.00033408718 0.0004111842 0.0003854852 0.00030838815 0.00048828125 0.00025699014 0.025313528 0.00028268914 0.0010536596 0.0022615131 0.0014905428 0.0026726974 0.012001439 0.0068359375 0.00015419407 0.00012849507 5.1398027e-05 5.1398027e-05 2.5699013e-05 0.00010279605 0.00010279605 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04864823 0.0028782894 0.0049342103 0.0072471215 0.0025185032 0.0053710938 0.017346835 0.0085063735 0.00066817435 0.00084806746 0.0007709704 0.0004111842 0.0008223684 0.0007709704 0.00035978618 0.0031609787 0.025185034 0.002210115 0.0009765625 0.0013877467 0.0024157073 0.0017475329 0.0028525905 0.002158717 0.0045230263 0.00030838815 7.709704e-05 0.00066817435 0.0020559211 0.00089946546 0.0015419408 0.0036235608 0.041041326 0.0051141037 0.0032380756 0.011924342 0.00442023 0.004034745 0.0068102386 0.004137541 0.005679482 0.001927426 0.0022358142 0.0017475329 0.0031866776 0.0017989309 0.0024928043 0.00547389 0.041067023 0.010870683 0.0024671052 0.0070672287 0.009534334 0.009148848 0.00416324 0.009791324 0.019839639 0.0017218338 0.0020559211 0.0027240955 0.010665091 0.0018760279 0.009662829 0.015239514 0.05024157 0.016884252 0.017244037 0.023540296 0.013954564 0.01459704 0.029039884 0.02186986 0.015445107 0.006116365 0.008557771 0.007170025 0.010022615 0.0068873353 0.008814761 0.012772409 0.017835116 0.0070929276 0.007684005 0.009688528 0.005499589 0.0063219573 0.0115902545 0.008429277 0.005191201 0.0034950657 0.0041118423 0.0031352795 0.003983347 0.0032123767 0.003931949 0.004060444 200.0 17.24 3448.0 0.023201857 0.0008700696 0.0023201855 0.0008700696 0.008990719 0.0008700696 0.0005800464 0.001450116 0.0020301624 0.0008700696 0.0011600928 0.0017401392 0.0011600928 0.016821345 0.030452436 0.015081206 0.050174013 0.024071926 0.0136310905 0.005800464 0.008410673 0.005510441 0.0040603247 0.0049303942 0.004640371 0.0049303942 0.007540603 0.0017401392 0.0005800464 0.001450116 0.002610209 0.0020301624 0.001450116 0.011890952 0.0008700696 0.018561484 0.011020882 0.0020301624 0.0020301624 0.004350348 0.0020301624 0.008700696 0.0005800464 0.0005800464 0.001450116 0.0017401392 0.0017401392 0.0020301624 0.0034802784 0.0005800464 0.005510441 0.011600928 0.009570765 0.0011600928 0.001450116 0.0008700696 0.0031902553 0.0011600928 0.0066705337 0.0005800464 0.0031902553 0.0002900232 0.001450116 0.022041764 0.0011600928 0.03828306 0.0066705337 0.037703015 0.030742459 0.060324825 0.009280742 0.019431554 0.012180975 0.057424594 0.0023201855 0.0017401392 0.027552204 0.022331787 0.032482598 0.031032482 0.020301623 0.0011600928 0.04727378 0.03161253 0.06293503 0.011600928 0.005800464 0.01450116 0.0060904874 0.008410673 0.0034802784 0.0005800464 0.0005800464 0.0 0.0005800464 0.0 5.5367255 1.0 16.0 0.0 2.0 20936.0 32768.0 1.0 12.0 32.0 1.0 1.0 1.0 0.0 0.0 1483529600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 5632.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 0.0 0.0 0.0 0.0 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 -6144.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.156233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8098946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2996677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.840869 0.0 3.1916869 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5342.0 0.0 872.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 452.0 13568.0 140.0 14020.0 872.0 24576.0 0.0 0.0 7624.0 13312.0 392.0 28672.0 84.0 12496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12584.0 0.0 0.0 152.0 12288.0 0.0 0.0 0.0 0.0