Input: 0.056671504 0.008306119 0.006172124 0.005652344 0.0057579568 0.00495965 0.004198618 0.0054276586 0.0050507667 0.005629565 0.003754424 0.004471968 0.0049555083 0.0031704484 0.004320797 0.004634529 0.0050404123 0.003779274 0.0049285875 0.0041603073 0.004362214 0.0031756253 0.0041064657 0.003846576 0.005067333 0.0033526819 0.0031590587 0.0029281606 0.004154095 0.003444834 0.0037885925 0.0037885925 0.006165911 0.0038186198 0.0034831443 0.0030203129 0.0048975246 0.004162378 0.0038382926 0.0037140425 0.0047359997 0.003896276 0.0033402569 0.0030938275 0.0043715327 0.003729574 0.003720255 0.0035752966 0.005507386 0.003953224 0.0031031463 0.0029022752 0.0036778029 0.0030669067 0.0026900147 0.0028732836 0.004164449 0.0033195484 0.0035255966 0.0033537173 0.0040039592 0.0032201484 0.00350903 0.003452082 0.0065987157 0.00395633 0.0036146424 0.0032160068 0.0041561658 0.0032211838 0.003544234 0.003067942 0.0049979603 0.003784451 0.003700582 0.0035897924 0.0041230326 0.0031259253 0.0035659778 0.0034603653 0.005159485 0.0036270674 0.0036446697 0.0033340442 0.0039345864 0.0033847797 0.0033599297 0.0035359508 0.004655237 0.003645705 0.0038030883 0.0034997112 0.0041064657 0.0033837443 0.00368298 0.003791699 0.0059205173 0.0036312093 0.0033392215 0.0029571524 0.0040091365 0.0030513753 0.003268813 0.0030254899 0.0049689687 0.0031663068 0.0031901214 0.0030544817 0.0035721904 0.0028339378 0.0030845087 0.003201511 0.004510279 0.003293663 0.0032232546 0.003144563 0.0038921344 0.0033267965 0.0032967692 0.0036270674 0.0046169264 0.003293663 0.0034790027 0.0031714838 0.004029845 0.003194263 0.0034686485 0.0033392215 0.008641594 0.0045982893 0.0040143137 0.003539057 0.0043632495 0.003432409 0.0030192775 0.0033909923 0.004538235 0.0038320802 0.0029644002 0.003189086 0.003722326 0.0027987335 0.0028473982 0.0029778606 0.0052298936 0.0032149714 0.0035100654 0.0030317025 0.0036570947 0.0031776964 0.0033040172 0.0032584588 0.0045403056 0.0028432563 0.003035844 0.002703475 0.0035173132 0.0032253254 0.0029799317 0.0031476691 0.005007279 0.0034220547 0.0032646714 0.002799769 0.0037740967 0.0030151356 0.0030493045 0.0031797672 0.0041427054 0.003005817 0.0031207483 0.0030151356 0.0036446697 0.0028401501 0.002918842 0.003028596 0.004678016 0.0031062525 0.003846576 0.0028639648 0.0035649424 0.0031455983 0.0029882148 0.0031186775 0.004253495 0.0031466337 0.0033392215 0.0031849442 0.0036539882 0.0031911568 0.0033330088 0.00334854 0.0067157177 0.004054695 0.0037306093 0.0033340442 0.0041178553 0.0032532818 0.0033050526 0.0032253254 0.004330116 0.0033267965 0.003119713 0.003085544 0.0036519174 0.002986144 0.0030814025 0.0027935563 0.004246247 0.0032708838 0.003094863 0.0030068525 0.003713007 0.0030213483 0.0029405856 0.0029457628 0.003979109 0.0031135003 0.0027293605 0.0026444562 0.0035349154 0.002943692 0.0035794382 0.002893992 0.0049565434 0.0032325734 0.0033992757 0.002973719 0.0038030883 0.0030720837 0.00319944 0.0029053814 0.0044460827 0.0054442254 0.0034665777 0.003132138 0.0037937697 0.0030865795 0.0032543172 0.0031952984 0.004610714 0.0033216192 0.003419984 0.0030399857 0.0037337155 0.003085544 0.0033164422 0.0032418922 0.004347718 0.003035844 0.0031963338 0.0028681064 0.0040184553 0.0030969337 0.0042255386 0.0045144204 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 0.099192105 0.062035043 0.062438317 0.05532921 0.060600266 0.05954232 0.054940972 0.05448016 0.060465496 0.05315579 0.05213206 0.052971777 0.056430694 0.050578576 0.056657214 0.0538483 4025.0 5.7031054 22955.0 0.017164016 0.010455239 0.009366151 0.008712699 0.0134611195 0.012502722 0.01184927 0.011457199 0.012633413 0.009758223 0.008494881 0.008582008 0.013940318 0.010498802 0.011762143 0.009932477 0.01672838 0.011892834 0.008712699 0.0075364844 0.009801786 0.008451317 0.007884992 0.00836419 0.010368112 0.008407754 0.009627532 0.008886953 0.011587889 0.00897408 0.009671096 0.009148334 0.017991723 0.010934437 0.010324548 0.009061207 0.01084731 0.008843389 0.010673056 0.008277064 0.014201699 0.011587889 0.009758223 0.008930516 0.011457199 0.009453278 0.01171858 0.009540405 0.014768024 0.009627532 0.010019603 0.00897408 0.012023524 0.009366151 0.009583969 0.009801786 0.013722501 0.00923546 0.010498802 0.009540405 0.011108691 0.009801786 0.010411675 0.010673056 0.017991723 0.010978 0.009758223 0.008189937 0.0130690485 0.008233501 0.009366151 0.008320628 0.015421477 0.009279024 0.008886953 0.008712699 0.011326509 0.008015683 0.009932477 0.007928556 0.013199738 0.007972119 0.008669135 0.008843389 0.011544326 0.009540405 0.008233501 0.007884992 0.010890873 0.0090176435 0.011892834 0.0085384445 0.011282945 0.00897408 0.010019603 0.008712699 6.554636 0.0 0.0 0.0 14.0 965794.0 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: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0013950893 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.0 0.001953125 0.001953125 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0016741072 0.002232143 0.0027901786 0.001953125 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.003627232 0.00055803574 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00055803574 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.0061383927 0.006417411 0.00055803574 0.00027901787 0.0013950893 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024414062 0.03540039 0.034179688 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.019157087 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.022988506 0.0 0.011494253 0.01532567 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.049808428 0.007662835 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.007662835 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.057471264 0.019157087 0.0 0.0 0.019157087 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.2654243 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1527218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.09391765 0.012351507 0.011191066 0.003971921 0.006845209 0.002750445 0.0059999875 0.005354869 0.005430584 0.0044339336 0.00950217 0.0021624987 0.0020172505 0.0019067692 0.0035918031 0.004433161 0.0058771446 0.006323706 0.004688118 0.0029435942 0.002045064 0.001949262 0.0035014092 0.0043443125 0.0047391094 0.0039132033 0.0025217563 0.0022768432 0.0020133876 0.0013497268 0.0014787505 0.002545707 0.0071156174 0.003931746 0.0044509307 0.002236668 0.0019554428 0.001583051 0.0015328323 0.0020072067 0.005261385 0.0034187413 0.0035392665 0.0023888696 0.0030896151 0.0015552376 0.0034759135 0.0032696303 0.0050566467 0.005160175 0.005275292 0.003283537 0.0027094975 0.0018905447 0.0012145224 0.0021060992 0.0032093676 0.0032078223 0.0027048618 0.0022073095 0.0026762758 0.0025233016 0.0018380081 0.0011109944 0.0024321352 0.003987373 0.0040762215 0.004632491 0.0037154185 0.00293046 0.0019160403 0.0016216809 0.0026979083 0.0043157265 0.0029412764 0.0023401962 0.0023780533 0.002309292 0.001987892 0.0016827161 0.0033893827 0.0030641193 0.0037424595 0.006227131 0.003128245 0.002403549 0.0018642764 0.0014084441 0.0018882268 0.002836976 0.0025503424 0.0023533301 0.0019052239 0.0020806035 0.0012330647 0.0017947427 0.0016317246 0.009118961 0.004011323 0.0070298593 0.008459936 0.016189769 0.0032881724 0.0030718453 0.0024522226 0.008417443 0.0020790582 0.002507077 0.0071326145 0.0057233977 0.007439336 0.012710764 0.005282245 0.001801696 0.010411516 0.009446543 0.013114832 0.005476167 0.0028933755 0.0019840288 0.0016510396 0.003896979 0.002228942 0.005207303 0.0019987081 0.002575838 0.0012940998 0.000753282 0.0023031114 0.0019963905 0.0020187958 0.0021586358 0.0018681394 0.0024715376 0.0025750655 0.0013025984 0.0010059212 0.0012299743 0.0017630662 0.0015583279 0.0022181259 0.0018642764 0.0016850339 0.0011619858 0.0009796529 0.0014339399 0.0016363603 0.0015807333 0.0015930948 0.001753795 0.0018828186 0.0013265489 0.0009835159 0.0016525848 0.0019708946 0.0015722347 0.001358998 0.0015374678 0.0017012584 0.0011982978 0.0011897993 0.0011712569 0.001987892 0.0012709219 0.0013821758 0.001598503 0.0018318273 0.0013072339 0.001236155 0.0011071314 0.0013195955 0.0011256736 0.0013597705 0.0015482842 0.0014648438 0.0010824082 0.0010669563 0.0009757899 0.0009541572 0.0010607756 0.0012299743 0.0015042461 0.0013288667 0.0013002806 0.0009132096 0.0009240259 0.00084599364 0.0010430058 0.0015227885 0.001569917 0.0015150625 0.001207569 0.0014138523 0.0008738071 0.00086685375 0.0010422332 0.0011187203 0.0024715376 0.0020157055 0.0018457341 0.0020728775 0.0017043488 0.0014262139 0.0014540274 0.0016147275 0.0014053538 0.0016077742 0.0014787505 0.001192117 0.00078650366 0.0008807605 0.0008699441 0.0011449886 0.0015274241 0.0016355877 0.0015529197 0.0011156299 0.00079113926 0.0007749147 0.000849084 0.0009989678 0.0012863738 0.0014934299 0.0015768703 0.0012856013 0.0008320869 0.0007324219 0.000801183 0.00079191185 0.0009495216 0.001287919 0.0014802957 0.0012531521 0.0013628609 0.0009804255 0.0009456586 0.00093793264 0.00096497353 0.0013265489 0.001830282 0.0017661565 0.0010700467 0.0009997404 0.0010028308 0.0012222483 0.0010290991 0.0013783129 0.002092965 0.0018511422 0.0022861143 0.0035083627 0.0074941902 0.014243597 0.07264806 0.007853447 0.14013904 0.007122798 1.9330216e-06 2.319626e-06 3.8660432e-06 3.8660432e-06 3.4794389e-06 4.2526476e-06 1.5077569e-05 1.0438316e-05 9.278504e-06 2.3969467e-05 2.2036445e-05 2.6675698e-05 3.2474763e-05 2.9381928e-05 0.109869465 0.00017087911 9.665107e-06 2.4356072e-05 0.000110955436 2.5515885e-05 2.2036445e-05 0.00012062055 3.479439e-05 3.9820243e-05 4.213987e-05 4.407289e-05 5.4897813e-05 5.0645165e-05 4.7938935e-05 6.378971e-05 0.018140247 0.0012178036 0.00016623986 0.00013299189 0.0004206255 8.93056e-05 9.007881e-05 0.00047900275 0.00022152427 9.549127e-05 7.2681614e-05 6.533613e-05 7.732086e-05 0.00024356072 7.9640486e-05 9.355824e-05 0.033667825 0.0013500223 0.00015812117 9.626448e-05 0.0001527087 4.677912e-05 5.799065e-05 0.00020374048 0.00027371585 0.00011018223 6.26299e-05 6.224329e-05 0.00015580154 0.00026250433 8.389314e-05 0.00014381681 0.015781961 0.001856474 0.0006494952 9.355824e-05 0.00013260527 0.00010863581 8.311993e-05 0.00016353362 0.000110568835 0.00010245015 6.340311e-05 4.3299682e-05 6.7655754e-05 0.00012757942 7.2681614e-05 0.00010167694 0.007307981 0.0007411205 9.510466e-05 9.1625225e-05 0.00011250185 6.6495944e-05 4.059345e-05 0.0001159813 0.00011984734 4.561931e-05 7.15218e-05 4.561931e-05 7.9253885e-05 0.000110955436 5.992367e-05 9.433145e-05 0.00444363 0.0048232754 0.0004098006 0.00027951493 0.00039742925 0.00062049995 0.00023853486 0.0018417829 0.0010434451 0.00021688502 9.7810895e-05 4.136666e-05 0.00014111058 0.0010020784 0.00013840434 0.00020992615 0.0035416821 0.018216796 0.00080529676 0.0014211575 0.0013384242 0.0060913377 0.0038567646 0.02540841 0.013016194 0.00064910867 0.0003320931 0.00021031275 0.0006788772 0.0012228295 0.0003413716 0.00039820245 0.006772921 0.03949279 0.003311266 0.0043083187 0.0022198819 0.002805974 0.0019848265 0.010998506 0.007962116 0.0010245014 0.0012580104 0.00071212515 0.00043608967 0.00050993107 0.00037152675 0.00047900275 0.005260525 0.031109275 0.0042398893 0.007060168 0.005635531 0.003176341 0.0045789415 0.020909881 0.015094966 0.0024441124 0.0010670279 0.001091384 0.0011060749 0.0013330117 0.0005887984 0.00073184195 0.006721116 0.017494231 0.0028933466 0.00332673 0.003873002 0.0022222016 0.0019875327 0.010029289 0.0068173804 0.0017737406 0.0011087812 0.0010461513 0.0008056834 0.0021939795 0.0006997538 0.0007592909 0.014227812 0.011390137 0.0043365406 0.0033213177 0.0045801015 0.0022562228 0.002105447 0.005137971 0.0036781535 0.0013469295 0.0008667669 0.0007140582 0.0008868703 0.0027247872 0.0008729526 0.0008524625 0.0119364085 0.006380131 0.006421884 0.0066101607 0.0056761247 0.00518939 0.0041695274 0.0035540534 0.002568599 0.0014474465 0.0011555603 0.00086367404 0.0006877691 0.00094524754 0.0009054273 0.00069202174 0.003405984 0.010812936 0.009720006 0.008091242 0.0065409583 0.0064512664 0.0053676143 0.0045576785 0.0036267352 0.0028713103 0.0025655061 0.00196395 0.0016322434 0.0015425512 0.0014915194 0.0011752772 0.002848114 0.009515492 0.00857991 0.0055756075 0.0050594904 0.005649449 0.0059359227 0.005872906 0.004847245 0.0050243097 0.0042893747 0.0042054816 0.0033263436 0.0029610025 0.0033700299 0.0028937333 0.006029094 0.013568652 0.010744121 0.010408934 0.009956221 0.011191422 0.011379312 0.0119356355 0.010635871 0.012000198 0.011115647 0.010866287 0.008817671 0.00917296 0.009334948 0.009057753 0.010835745 9827.0 21.620638 212466.0 0.019165419 0.009898054 0.016275546 0.0051396457 0.0023909707 0.0012613783 0.0013413911 0.0030028333 0.005704442 0.005902121 0.004480717 0.0041277194 0.0075353235 0.0012425517 0.0137386685 0.009333258 0.010853501 0.010095733 0.005793868 0.0062409984 0.0049231406 0.004325398 0.0017226286 0.004909021 0.005925654 0.0058032814 0.0061892257 0.004090066 0.007954214 0.009446218 0.006481037 0.001044873 0.0033275913 0.009088513 0.00952623 0.016741503 0.012081933 0.0073894174 0.0054079243 0.004094773 0.007252925 0.010448731 0.005864468 0.0052243653 0.005332618 0.0054926435 0.0048619546 0.0039535738 0.009912174 0.00650457 0.010039253 0.026352452 0.008608436 0.005374978 0.0044571836 0.0037229487 0.0033464178 0.005732682 0.0049513807 0.0034217238 0.0030122467 0.0035017368 0.0018214679 0.0055632433 0.0020285598 0.0388721 0.009385031 0.019970255 0.021386951 0.07765007 0.007187032 0.011427711 0.007257632 0.03649996 0.002541583 0.0062268786 0.03166624 0.02218708 0.03371363 0.041889057 0.014915328 0.002414504 0.0383732 0.0351115 0.05350974 0.015663683 0.006659889 0.0052573117 0.0023674376 0.013446857 0.0035911629 0.0043065716 0.0020473865 0.0030310731 0.00044242374 0.00022121187 5.904481 0.0 213.0 0.0 83.0 1294336.0 1302528.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1301693400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1277952.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1277952.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6457014 0.0 3.5017462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1275300.0 0.0 5008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1283404.0 5008.0 1286144.0 0.0 0.0 0.0 0.0 12.0 1294336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004983341 0.0018095128 0.0017377068 0.002391142 0.0018238741 0.0020321116 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.003597484 0.0030732995 0.002628102 0.0024055033 0.0044447957 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.0022906135 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.0020177504 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-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 0.013104022 0.00013382523 9.042245e-05 0.000101273145 0.0056966147 0.002094184 0.00018446181 0.000101273145 8.318866e-05 1.808449e-05 1.808449e-05 3.616898e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003761574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1398123600.0 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 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 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 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 2.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.14997882 0.07080115 0.06579262 0.10783003 0.08478374 0.077664785 0.109902434 0.001157068 0.0012331193 0.0010239779 0.0009316298 0.00088817184 0.0011434873 0.0010429908 0.0010647197 0.0015101638 0.0023250002 0.0017953565 0.0011516357 0.0011842292 0.0012113904 0.0017247373 0.0009941006 0.0009533588 0.0010348425 0.00089360407 0.0010755842 0.001004965 0.0012331193 0.0025830318 0.001002249 0.00095607486 0.0013010224 0.0009126169 0.0018415306 0.002539574 0.0066164727 0.001048423 0.00094249425 0.0009180492 0.0010565714 0.0017491825 0.00089360407 0.0009859522 0.0011407712 0.0016595505 0.00182795 0.0010429908 0.0011299066 0.0012113904 0.0011244745 0.0026699477 0.001157068 0.0009316298 0.0017328857 0.0009506426 0.0011081777 0.0009479265 0.00097508775 0.0018007888 0.0011163261 0.0018306661 0.0017301696 0.0010375585 0.0042181374 0.0012792933 0.0009995329 0.0010429908 0.0022706778 0.004391969 0.0010103973 0.002517845 0.004296905 0.0009234814 0.00093977817 0.0017980726 0.0023114197 0.0010755842 0.0009832361 0.0009778038 0.0011733646 0.0009234814 0.004372956 0.00096965546 0.0013852221 0.001070152 0.0009941006 0.0017926404 0.0009886683 0.0009669394 0.001874124 0.0018496789 0.0019963495 0.0011190422 0.0010511391 0.0010728681 0.0010511391 0.0010864487 0.0010402746 0.0010457069 0.0011760808 0.004386537 0.0012195387 0.001048423 0.0026889606 0.0010239779 0.0027215541 0.0010239779 0.001138055 0.0009506426 0.0028845214 0.001048423 0.0011353389 0.00095607486 0.0011108938 0.0009859522 0.0015291766 0.00091533305 0.0010457069 0.0010429908 0.0011108938 0.000937062 0.0010185457 0.0009805199 0.0020588203 0.0010158295 0.0011000293 0.0008990363 0.0011652162 0.0011108938 0.0009859522 0.001472138 0.001626957 0.0009913845 0.0009180492 0.00092891365 0.0012657128 0.0027677282 0.0019474593 0.0029062503 0.0014639896 0.001138055 0.0010294102 0.0009669394 0.001004965 0.0010212618 0.0009941006 0.0009099008 0.0012385516 0.00095607486 0.00095607486 0.001895853 0.0010212618 0.0009778038 0.0011108938 0.00092891365 0.0011190422 0.00089360407 0.0009723716 0.0008990363 0.0010592875 0.0010375585 0.0010076812 0.00092619756 0.0010511391 0.001002249 0.0025721674 0.001048423 0.0029143987 0.0017600469 0.001048423 0.0020995622 0.0010429908 0.0010783004 0.00096150715 0.0010457069 0.0017274534 0.0010565714 0.0011000293 0.0009044686 0.0011869452 0.0009234814 0.0010810165 0.0010538553 0.001895853 0.0010321263 0.0010457069 0.0009533588 0.0019012853 0.0010158295 0.0011299066 0.00095607486 0.0012548483 0.0011190422 0.001895853 0.001181513 0.0010321263 0.0017030084 0.0010810165 0.0014069511 0.0011516357 0.001094597 0.001094597 0.00096965546 0.0010973132 0.0010620037 0.0017763437 0.001004965 0.0010864487 0.0010375585 0.0010647197 0.001895853 0.0010158295 0.0010810165 0.0011000293 0.001002249 0.0010103973 0.0010837326 0.0010103973 0.0009207653 0.0010457069 0.0010647197 0.0009316298 0.0018931369 0.0019067175 0.0010076812 0.0010783004 0.00097508775 0.00111361 0.0011978097 0.0021647492 0.0019501755 0.0011787969 0.0011679324 0.0010429908 0.0011054616 0.0011299066 0.0010810165 0.0010511391 0.00092891365 0.0009913845 0.0010185457 0.0011000293 0.0010837326 0.0010674358 0.001070152 0.0011326228 0.001159784 0.0011353389 0.001048423 0.00091533305 0.0010158295 0.0010158295 0.0009941006 0.0012358354 0.0017437502 0.29579616 3.0006111e-05 2.1822625e-05 2.8642196e-05 2.0458712e-05 1.7730883e-05 5.4556563e-06 2.4550454e-05 8.183485e-06 1.3639141e-05 3.1370026e-05 1.636697e-05 2.318654e-05 1.9094798e-05 1.636697e-05 1.636697e-05 0.026948215 7.092353e-05 9.274616e-05 8.0470934e-05 5.8648307e-05 7.637919e-05 6.274005e-05 5.592048e-05 3.955351e-05 6.683179e-05 8.456267e-05 5.592048e-05 5.1828734e-05 6.955962e-05 6.4103966e-05 5.4556564e-05 0.018205525 9.547399e-05 8.319876e-05 0.0001063853 9.1382244e-05 8.72905e-05 8.319876e-05 7.910702e-05 9.411007e-05 7.365136e-05 0.00010229356 0.00010229356 8.5926586e-05 7.637919e-05 9.547399e-05 9.1382244e-05 0.02499509 0.00022095408 0.0001936758 0.000222318 0.00017048926 0.00018822015 0.00019094798 0.0002032232 0.00015957795 0.00018822015 0.0002523241 0.00020595103 0.0002032232 0.00017730883 0.00019503971 0.00016639753 0.019107074 0.00028642197 0.00025914368 0.00033552287 0.0001936758 0.00024959628 0.00014593881 0.0001350275 0.00014184706 0.00017185317 0.0003287033 0.00024277672 0.00021959018 0.00017867275 0.000222318 0.00012820793 0.03209699 0.0005210152 0.0004937369 0.00054283784 0.0003791681 0.00048555344 0.00047055035 0.00044054425 0.00043099685 0.00042281338 0.00054420176 0.000444636 0.0005060121 0.00042144945 0.00049782865 0.00040781032 0.013004921 0.00027687458 0.00023595714 0.00023732106 0.00023868497 0.00024686844 0.00024004889 0.0002605076 0.00023868497 0.00025914368 0.00025505194 0.0002509602 0.00023322931 0.00025641586 0.00028778586 0.00023732106 0.048553977 0.0006396757 0.0036416508 0.00063694787 0.00787524 0.0037412164 0.008193032 0.0005210152 0.00052783475 0.0005605687 0.00060694176 0.00054283784 0.0005455656 0.0005101039 0.00063285616 0.0004828256 0.01898023 0.00060285005 0.0006151253 0.00062740047 0.0005687522 0.00058239134 0.0006083057 0.00057284394 0.0005196513 0.0005605687 0.00066149834 0.0006014861 0.00063694787 0.0006096696 0.00059603044 0.0005892109 0.026147597 0.00111159 0.0010965869 0.0009465564 0.0015275838 0.0010979509 0.0014089233 0.0009888377 0.00094928424 0.0009479203 0.00096019555 0.0008906359 0.0008988194 0.00095473987 0.0009260977 0.0010461222 0.027770655 0.0019108437 0.001666703 0.0018753819 0.0015916878 0.0018003667 0.0013980119 0.001365278 0.0014375654 0.00111159 0.0017430822 0.0013639141 0.0015125808 0.0012261588 0.0014662077 0.0010393026 0.058177758 0.0036784764 0.0035543602 0.0039758096 0.006117155 0.0035652714 0.0029610575 0.0029255957 0.0031138158 0.0031506417 0.0045281947 0.003983993 0.0039799013 0.0036812043 0.0041503906 0.0029815163 0.023197452 0.0023145622 0.0021195225 0.0023882135 0.0020172289 0.0021072472 0.0016653391 0.0017880914 0.001762177 0.00168307 0.0024564094 0.0019394859 0.0019394859 0.0018303727 0.0020990637 0.0017649048 0.020589648 0.0027864766 0.005324721 0.0028574 0.0036907515 0.0029924274 0.0022013574 0.0024864154 0.006197626 0.0021154308 0.002622807 0.0025014186 0.0028955897 0.0023159261 0.0026296263 0.0028314856 0.013815086 0.0028696752 0.0034507026 0.002666452 0.0029446906 0.0026569047 0.0022422748 0.0023582075 0.003591186 0.0020063177 0.002557339 0.002221816 0.002603712 0.0022013574 0.002476868 0.0024100363 0.009035931 0.0037207578 0.0036648372 0.0039553507 0.003588458 0.0037357607 0.003670293 0.0036402869 0.0035134428 0.0035679992 0.0039621703 0.0036280116 0.0036007334 0.00371803 0.0037548556 0.0034888922 505.0 6.2653465 3164.0 0.0082174465 0.0053729457 0.012958281 0.011061947 0.016750949 0.0072692796 0.0063211126 0.01011378 0.007585335 0.0088495575 0.005689001 0.0082174465 0.0082174465 0.0094816685 0.014854615 0.0069532236 0.0063211126 0.011694058 0.013590392 0.012958281 0.012958281 0.0072692796 0.012642225 0.007585335 0.0069532236 0.005689001 0.0082174465 0.010745891 0.007901391 0.011378002 0.01232617 0.009797724 0.011378002 0.013274336 0.0088495575 0.014538559 0.013906447 0.01011378 0.0094816685 0.011061947 0.0082174465 0.012642225 0.008533502 0.008533502 0.009165613 0.012642225 0.0094816685 0.009797724 0.011061947 0.0053729457 0.009797724 0.012958281 0.0069532236 0.006637168 0.008533502 0.014222503 0.0094816685 0.01011378 0.009165613 0.008533502 0.007901391 0.0069532236 0.011061947 0.007585335 0.01011378 0.014222503 0.0063211126 0.012010113 0.019279392 0.028761063 0.008533502 0.009165613 0.011378002 0.017067004 0.0072692796 0.0072692796 0.022756005 0.009797724 0.011694058 0.01517067 0.012010113 0.008533502 0.017699115 0.01232617 0.023388116 0.0094816685 0.009165613 0.010429836 0.01011378 0.006637168 0.0060050567 0.0094816685 0.0060050567 0.0037926675 0.012010113 0.0082174465 6.492873 0.0 0.0 0.0 7.0 368172.0 409600.0 0.0 0.0 26.0 0.0 0.0 0.0 0.0 0.0 1543919500.0 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 1.0 0.0 2.0 0.0 5.0 0.0 5.0 0.0 13824.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 176640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0713162 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1851573 0.0 0.0 0.0 0.0 0.0 0.0 -4.231558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.852567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2632.0 0.0 0.0 0.0 0.0 0.0 176532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145752.0 0.0 0.0 0.0 0.0 0.0 0.0 -48864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15098.0 0.0 2432.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 320.0 69800.0 2432.0 401408.0 0.0 0.0 0.0 0.0 2632.0 405504.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.17517903 0.0040283203 0.0030110676 0.0025553384 0.003125 0.0028971354 0.002734375 0.0029378256 0.003507487 0.003100586 0.002718099 0.0036295573 0.0037760416 0.0034342448 0.002726237 0.0036946614 0.00316569 0.0031901042 0.0029947916 0.0026204428 0.002783203 0.003914388 0.003442383 0.003474935 0.003059896 0.0029215494 0.0033691407 0.0023925782 0.002709961 0.0029622396 0.0029134115 0.003141276 0.0027750651 0.0026041667 0.002758789 0.002368164 0.0060221353 0.003841146 0.0037272135 0.0034342448 0.0028889973 0.004532878 0.0026367188 0.002709961 0.0037190756 0.0024576823 0.0024983725 0.0024820964 0.0032389322 0.0029622396 0.0026855469 0.0030029297 0.004207357 0.0029785156 0.0023925782 0.0035481772 0.0031738281 0.0031819663 0.0026041667 0.0026448567 0.0039876304 0.0038085938 0.002701823 0.0028157553 0.0032633464 0.003507487 0.0028971354 0.0025309245 0.0039876304 0.0055094403 0.0037841797 0.0022054038 0.003149414 0.0032307943 0.0026367188 0.0023925782 0.0034505208 0.0036865235 0.002693685 0.0028238932 0.004012044 0.0029785156 0.0029134115 0.0026367188 0.003125 0.0037434895 0.003873698 0.0037516276 0.002742513 0.0022786458 0.0037841797 0.002718099 0.0024576823 0.0028727213 0.002701823 0.002701823 0.0024983725 0.0025390624 0.0025227864 0.0029215494 0.002742513 0.0037516276 0.0033203126 0.002718099 0.002693685 0.0036539712 0.0034830729 0.002709961 0.0029785156 0.0031901042 0.0026692708 0.0036051432 0.0031819663 0.0028401692 0.003133138 0.0026448567 0.0035970053 0.0034830729 0.0033040366 0.002726237 0.0025797526 0.0030517578 0.0026692708 0.0022949218 0.003149414 0.002766927 0.003873698 0.0025472005 0.0033854167 0.004337565 0.0025716147 0.004378255 0.0040771486 0.0030029297 0.0025309245 0.0022298177 0.0026285807 0.006152344 0.002783203 0.0052652997 0.0033284505 0.0041015623 0.0024739583 0.0022216798 0.0024739583 0.003059896 0.0025553384 0.0032633464 0.0036132813 0.002327474 0.0029215494 0.0023925782 0.0029541017 0.002709961 0.0025716147 0.0024983725 0.0028401692 0.0026367188 0.0028564453 0.0026611327 0.0030273437 0.0030354818 0.0025797526 0.0028727213 0.00316569 0.0036946614 0.0028483074 0.0026529948 0.0034505208 0.0033935546 0.0028483074 0.0026774087 0.003157552 0.0029296875 0.0026123046 0.0029703777 0.0027750651 0.0034179688 0.0030680338 0.0026041667 0.0037516276 0.0030029297 0.0037841797 0.0028157553 0.0029052733 0.0037679037 0.0025960286 0.0032145183 0.0028401692 0.0023111978 0.0025878907 0.0025797526 0.032006837 0.002709961 0.0030273437 0.004329427 0.003149414 0.0037679037 0.0026611327 0.0033691407 0.0028157553 0.004012044 0.0029134115 0.0030192058 0.004370117 0.0036051432 0.0028401692 0.002750651 0.0033610025 0.004036458 0.003442383 0.0029296875 0.0029215494 0.0030273437 0.0029052733 0.0025634766 0.0032714843 0.0041910806 0.0028564453 0.0028320313 0.003157552 0.0029785156 0.002327474 0.0026123046 0.0033528646 0.0033365886 0.002701823 0.0022379558 0.0034342448 0.0029378256 0.0032063802 0.0040852865 0.003141276 0.0028401692 0.003938802 0.0030436197 0.0040934244 0.0026285807 0.0031901042 0.0028401692 0.002799479 0.002701823 0.0030192058 0.0037841797 0.0029703777 0.0036621094 0.0030354818 0.0038492838 0.003873698 0.0026448567 0.0023925782 0.0025878907 0.0029947916 0.0037027996 0.0029052733 0.0051757814 0.05882353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007857636 0.0 8.206408e-06 8.206408e-06 7.7960874e-05 6.154806e-05 0.0002995339 6.975447e-05 4.103204e-06 8.206408e-06 0.0 0.0 8.206408e-06 0.0 0.0 0.0 0.01569065 3.2825632e-05 8.206408e-05 0.0006154806 3.2825632e-05 5.7444853e-05 1.6412816e-05 4.103204e-05 2.4619223e-05 4.103204e-05 8.206408e-06 2.4619223e-05 2.4619223e-05 3.2825632e-05 4.103204e-05 4.103204e-05 0.019699482 7.385767e-05 0.000102580096 4.9238446e-05 0.000102580096 6.975447e-05 0.00015592175 7.385767e-05 8.206408e-06 1.6412816e-05 1.23096115e-05 2.4619223e-05 0.004772026 2.4619223e-05 1.23096115e-05 1.23096115e-05 0.0068154214 1.23096115e-05 0.00015181855 0.00017233456 0.00016823136 6.5651264e-05 0.0006359966 0.0003241531 1.6412816e-05 0.0 1.23096115e-05 8.206408e-06 0.0 8.206408e-06 8.206408e-06 4.103204e-06 0.006589745 4.9238446e-05 0.00016002495 0.000114889706 0.00017233456 7.385767e-05 7.385767e-05 3.6928835e-05 0.0003077403 7.385767e-05 1.23096115e-05 3.6928835e-05 0.00016412816 1.6412816e-05 0.00013130253 0.00038980437 0.006519991 0.00013130253 0.00016412816 0.0003200499 0.00013950893 0.0001107865 0.00034466913 0.00022567621 8.206408e-05 4.103204e-05 5.7444853e-05 9.437369e-05 5.334165e-05 3.6928835e-05 4.5135243e-05 3.6928835e-05 0.009445575 0.00014361214 0.0003241531 0.0005005909 0.00038570116 0.00023798582 0.0012801996 0.00061958376 0.000102580096 4.9238446e-05 6.975447e-05 0.000102580096 0.0034056592 4.5135243e-05 5.334165e-05 4.103204e-05 0.004181165 9.437369e-05 8.206408e-05 7.385767e-05 0.00016823136 9.437369e-05 9.0270485e-05 0.00013540573 0.00013950893 0.00015181855 9.847689e-05 0.00011899291 0.0026917018 6.154806e-05 0.00013950893 8.206408e-05 0.0048048515 0.00016823136 0.00028312107 0.00016412816 0.00045955883 0.0002995339 0.00016823136 0.00011899291 0.0007549895 4.5135243e-05 2.8722427e-05 0.000102580096 0.00035697874 7.385767e-05 0.00029132748 0.00028312107 0.0023224133 0.0002092634 0.00015181855 9.847689e-05 0.0002092634 0.00015181855 0.00017643777 0.00018054097 0.00014361214 0.00012309612 0.00018874738 0.00017233456 0.0038118763 0.00013950893 0.00018464417 0.00013950893 0.020577567 0.0015017726 0.0014648438 0.0015551143 0.00137047 0.0013868829 0.0015017726 0.0013827797 0.0014197085 0.0015263918 0.0014812566 0.0014730502 0.009031151 0.001530495 0.0016125591 0.0016043527 0.003524652 0.00048007484 0.00054982933 0.00061137736 0.00094784005 0.0005005909 0.00037749475 0.00045135242 0.0013171284 0.00045955883 0.00036928835 0.000443146 0.0043370863 0.0004308364 0.0008001247 0.0012063419 0.0015551143 0.00026260506 0.0007919183 0.00026670826 0.00089449843 0.0005087973 0.0001107865 0.00020105699 0.0015674238 0.000114889706 6.154806e-05 0.00011899291 0.0005170037 0.000221573 0.00046776523 0.00074267987 0.0051700366 0.001025801 0.0021993173 0.0012555803 0.0036682643 0.0020885307 0.00090270484 0.0012268579 0.006417411 0.0004923845 0.00037339155 0.00069754466 0.0021993173 0.0008780856 0.0021172531 0.002900965 0.04372374 0.0452091 0.045270648 0.044499245 0.043284696 0.0439289 0.04211118 0.043083638 0.04362116 0.041549042 0.04553325 0.044983424 0.050621226 0.046304654 0.045520943 0.04504087 453.0 5.9889627 2713.0 0.009952082 0.014006635 0.009583487 0.008846296 0.01437523 0.0106892735 0.009952082 0.006266126 0.009583487 0.0077405088 0.007371913 0.009952082 0.008846296 0.006266126 0.0151124215 0.0077405088 0.010320678 0.007371913 0.0110578695 0.0077405088 0.0084777 0.012900848 0.006266126 0.013638039 0.008846296 0.011426466 0.0077405088 0.009952082 0.014006635 0.013269443 0.0084777 0.0077405088 0.007371913 0.0110578695 0.007371913 0.010320678 0.011795061 0.014006635 0.008109104 0.008846296 0.009952082 0.009952082 0.0106892735 0.0084777 0.010320678 0.011426466 0.0084777 0.009583487 0.010320678 0.010320678 0.01437523 0.0110578695 0.0151124215 0.0106892735 0.008846296 0.012532252 0.009583487 0.0070033176 0.012532252 0.008109104 0.0066347215 0.008109104 0.008846296 0.0106892735 0.009583487 0.012900848 0.0084777 0.009583487 0.01437523 0.024695909 0.018429782 0.0070033176 0.0084777 0.014743826 0.0084777 0.008109104 0.012532252 0.011795061 0.014743826 0.018061187 0.0106892735 0.0110578695 0.013638039 0.008109104 0.013638039 0.0106892735 0.011426466 0.0055289348 0.007371913 0.009214891 0.008846296 0.0066347215 0.008109104 0.011426466 0.0154810175 0.008109104 6.5281525 0.0 0.0 0.0 3.0 122880.0 126976.0 1.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1026959000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 14.0 0.0 6.0 0.0 6.0 0.0 8192.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 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 24576.0 0.0 0.0 -8192.0 0.0 4096.0 24576.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.485325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8932576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.68875 0.0 0.0 0.0 0.0 0.0 0.0 7.9030576 0.0 0.0 -6.4508576 0.0 3.3849783 7.8966484 0.0 0.0 -7.6417575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1180.0 0.0 0.0 0.0 0.0 0.0 0.0 23049.0 0.0 0.0 -6710.0 0.0 984.0 23163.0 0.0 0.0 -28252.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4180.0 12980.0 984.0 118784.0 0.0 0.0 0.0 0.0 164.0 122880.0 56.0 10880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 12288.0 0.0 0.0 0.0 0.0