Input: 0.052094337 0.0051799347 0.0040148753 0.003980797 0.004852994 0.0035345813 0.0036879345 0.0036826096 0.005798673 0.0033546041 0.0030617418 0.0032459788 0.004657042 0.0035899587 0.0033695134 0.005232117 0.0040638633 0.003081976 0.0028913491 0.0032044456 0.003399332 0.0033705784 0.0030660015 0.003285382 0.003422761 0.0035952835 0.0029563115 0.0031884713 0.0036495961 0.0033556689 0.0033524742 0.0035399059 0.0037017788 0.0028157374 0.0029435318 0.0031906012 0.00367622 0.0031682372 0.0030713263 0.0034312806 0.0031352236 0.0029701558 0.002941402 0.0032055106 0.0030351179 0.0039211595 0.0031671722 0.0034429953 0.0037252079 0.0029776103 0.0033365 0.004111786 0.0030191436 0.002894544 0.003034053 0.0031309638 0.003630427 0.0033492793 0.0035303214 0.0036826096 0.003629362 0.0038508724 0.0035505556 0.004793356 0.0043812194 0.0038881458 0.0058423355 0.0046740817 0.0032342642 0.008491941 0.0032928367 0.0036197775 0.0033290451 0.0030670664 0.00321403 0.0030723913 0.0032598232 0.007129865 0.0033290451 0.003491983 0.004465351 0.003842353 0.003309876 0.0033002915 0.0033034862 0.0060191182 0.003767806 0.0037039088 0.0032278746 0.0037837804 0.0028998689 0.0034163713 0.0032502385 0.0041213706 0.0036943243 0.0038657817 0.0032214848 0.0034387354 0.0029818702 0.0034642941 0.004166099 0.0042491653 0.0038998602 0.003490918 0.0037560915 0.0035260615 0.0037071037 0.0031054048 0.0040116804 0.003516477 0.0035431008 0.0041320203 0.003747572 0.0031107296 0.004345011 0.0038785613 0.0054301987 0.0047475635 0.0035196717 0.0032534334 0.0035516205 0.0034802686 0.0033258502 0.0033503443 0.003467489 0.0037411822 0.0036091278 0.0035782442 0.0036155176 0.0034153063 0.002963766 0.0060031437 0.0031693021 0.004299218 0.0028913491 0.0033865527 0.0031756917 0.00711602 0.0031309638 0.014349186 0.0032119001 0.0050702444 0.0033567338 0.003335435 0.003882821 0.0031298988 0.0029989094 0.003401462 0.0032108352 0.0036187125 0.0029115833 0.0033439544 0.0028082829 0.0029786753 0.0026474749 0.0031533279 0.0031799516 0.0033279802 0.0034536447 0.0032704726 0.0033247853 0.0036144527 0.002939272 0.0036826096 0.0030723913 0.0029733507 0.00286792 0.0033471494 0.003217225 0.0028199973 0.0027316061 0.0032970966 0.0030447026 0.0029445968 0.0031416132 0.003241719 0.0030606769 0.0029339474 0.0029019988 0.0030159487 0.003333305 0.003010624 0.003629362 0.0032331992 0.0035665298 0.0031863414 0.0032055106 0.0030681314 0.003467489 0.0035462957 0.003559075 0.0037017788 0.0046069897 0.0040127453 0.0035047624 0.004181008 0.00355801 0.0032481086 0.0035548152 0.0047486285 0.0036730252 0.0036634405 0.0032757975 0.0031863414 0.008320482 0.0030873006 0.0032928367 0.0032278746 0.0036581159 0.0034877232 0.0031629123 0.0033258502 0.0032821873 0.0031778216 0.0031011452 0.003312006 0.00356227 0.003471749 0.0032949666 0.0034610995 0.0034142414 0.003401462 0.0032683427 0.0034823983 0.0045068837 0.0036144527 0.0029733507 0.003376968 0.0039360686 0.003810404 0.002894544 0.0032928367 0.007255529 0.003907315 0.0033130709 0.004224671 0.005192714 0.0034834633 0.0033865527 0.0035026325 0.0050084773 0.0031810165 0.0036410766 0.0032204199 0.004526053 0.0033854877 0.003717753 0.0038317032 0.0045835604 0.0035931536 0.0037528966 0.0034834633 0.0055249794 0.0035899587 0.0041437345 0.014187313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046056225 0.00016791331 0.00022868194 5.117358e-05 0.00034808696 4.637606e-05 0.00028945057 0.0001732439 1.5458685e-05 7.729343e-05 2.5053732e-05 1.8123976e-05 1.705786e-05 2.3454559e-05 1.8657034e-05 0.00044457047 0.004100283 7.729343e-05 0.0003272977 7.196285e-05 0.00049201265 9.8082695e-05 0.0005096036 0.000320901 2.2388442e-05 4.1578536e-05 1.5991744e-05 1.5991744e-05 1.9723151e-05 1.6524802e-05 3.624795e-05 0.0003843349 0.006628578 0.00012366948 0.00065512845 0.00022121913 0.0007489467 0.00026706213 0.0013299801 0.0012180378 4.637606e-05 0.00010074799 8.955377e-05 3.7847127e-05 3.9446302e-05 4.637606e-05 3.5181838e-05 0.00042058286 0.004878548 0.00015938438 0.00036994234 0.00023507864 0.0010410625 0.0004520333 0.0017862779 0.0008720831 0.0001183389 0.00053519034 0.00011087609 5.117358e-05 0.000137529 5.757028e-05 6.023557e-05 5.170664e-05 0.006723462 0.00025800013 0.00062207883 0.0004355085 0.0014898975 0.0005309259 0.0021786087 0.0012025791 0.00019616539 0.00029424808 0.00021428936 0.00012686783 0.00015885133 0.00014605792 0.00021748772 0.0004888143 0.002446737 0.00022228523 0.00018870257 0.00032250016 0.000495211 0.00013006618 0.00028092164 0.00017644225 0.00019669846 8.902071e-05 9.3285176e-05 8.6355416e-05 0.00019403316 0.00013966124 0.00012580171 0.00027079353 0.0054990277 0.00055331434 0.00034595473 0.00046002917 0.0028657205 0.0016252942 0.00047069034 0.0003816696 0.0047260933 0.00066419045 0.00029371504 0.00038486798 0.0025325592 0.00040778948 0.0018747655 0.0031151918 0.019829763 0.002632241 0.001595443 0.0025453526 0.010069468 0.0063743093 0.0030027165 0.0024291459 0.01471507 0.00090086827 0.0013219842 0.001513352 0.008465496 0.0018625051 0.006545954 0.010082794 0.008993757 0.0019472614 0.0013624966 0.0022404434 0.0031994148 0.0033646629 0.0015448024 0.0024963112 0.005478238 0.0004962771 0.00063327304 0.0011119592 0.0032628488 0.0015106867 0.0029659355 0.00524316 0.04909039 0.047329698 0.04608341 0.049686883 0.046622865 0.047135666 0.04674813 0.050859075 0.047038116 0.048172463 0.047517337 0.04912877 0.048364364 0.049712468 0.050855346 0.0529476 3668.0 7.2876225 26731.0 0.01780704 0.0066963453 0.006546706 0.006883394 0.012681905 0.007930866 0.007145262 0.009502077 0.008791291 0.006995623 0.008304964 0.006845984 0.0067711645 0.007033033 0.010549549 0.008866111 0.007294901 0.006584116 0.008791291 0.007930866 0.007743818 0.006883394 0.007968277 0.0071078525 0.008267554 0.0077812276 0.009539486 0.007893457 0.0076689986 0.008230145 0.0088287005 0.012532266 0.021809883 0.011858891 0.00748195 0.010549549 0.0066963453 0.007818637 0.009988403 0.008417194 0.007968277 0.007968277 0.00744454 0.006995623 0.007818637 0.006958213 0.006883394 0.007856048 0.010774008 0.008080506 0.008043096 0.0087164715 0.010624369 0.0072574914 0.011709251 0.0103625 0.009689125 0.009315028 0.008117915 0.008566832 0.006845984 0.008267554 0.008043096 0.0121581685 0.008866111 0.020350903 0.010961057 0.017432943 0.015637275 0.030750813 0.0091653885 0.011634432 0.008267554 0.020276085 0.0071826717 0.00744454 0.019677527 0.011447383 0.020089036 0.026523512 0.013579739 0.007556769 0.022258801 0.02091205 0.030152258 0.012868954 0.010175452 0.007743818 0.010474729 0.010586959 0.007332311 0.0075193597 0.007332311 0.0090531595 0.007033033 0.008230145 6.4494076 0.0 0.0 0.0 13.0 939008.0 954368.0 1.0 0.0 70.0 0.0 1.0 0.0 1.0 0.0 1542619600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 142336.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142336.0 0.0 727040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1955733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.253295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.307193 0.0 7.994784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59110.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141938.0 0.0 726592.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 204940.0 726592.0 225280.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 192256.0 0.0 0.0 0.0 0.0 24.0 192448.0 64.0 192288.0 0.0 0.0 284.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.0114617795 0.0038215339 0.0036987592 0.0038991498 0.0038173003 0.0037015816 0.0036281992 0.00432251 0.0040134573 0.0034969575 0.003437687 0.0036324328 0.0037580298 0.003492724 0.003480023 0.0036902921 0.003893505 0.003451799 0.0033628934 0.0033586598 0.0035816296 0.0033854726 0.0034136965 0.003451799 0.0035280038 0.0033643045 0.0034122854 0.0034532102 0.0034503879 0.003262698 0.0033572484 0.0033106788 0.0036747688 0.0034151077 0.0033572484 0.0033995844 0.0034052294 0.0033346692 0.0033008005 0.0033657157 0.003326202 0.0032542308 0.0032316516 0.0034997799 0.0034278086 0.0034757894 0.00327681 0.003458855 0.0034320422 0.0033840614 0.003367127 0.003591508 0.0034616773 0.0035463495 0.0033741829 0.0034221637 0.003381239 0.0034052294 0.00331209 0.0037283944 0.0034574438 0.0033868838 0.0034038182 0.003388295 0.0038328234 0.00374674 0.0036790024 0.003717105 0.0037396841 0.0037947209 0.0035943303 0.0037410953 0.0038074218 0.0034574438 0.003571751 0.0036211433 0.0036098536 0.0037608522 0.0035336488 0.003584452 0.0039231405 0.0038610476 0.003997934 0.003837057 0.0038568138 0.0038342346 0.0038892715 0.0038342346 0.0038483466 0.0037989547 0.0036507784 0.0038596361 0.0037904873 0.0038765706 0.0036521896 0.0037622633 0.0038596361 0.004010635 0.0038074218 0.0036902921 0.0038144777 0.003766497 0.003906206 0.0038144777 0.0040642605 0.003955598 0.0039541866 0.0039457195 0.004045915 0.0041898573 0.0040233354 0.004095307 0.0042194924 0.004144699 0.004340856 0.0046033394 0.005060569 0.0051141945 0.0052256794 0.005033756 0.0057196 0.0061161476 0.006831627 0.0074469107 0.008208959 0.008740982 0.009359089 0.009464929 0.009788094 0.00933651 0.008388182 0.008060783 0.0068937195 0.0062332773 0.0056885537 0.0052285017 0.0050168214 0.004963196 0.0046795444 0.004970252 0.0043789586 0.00443964 0.0039174957 0.004095307 0.004052971 0.0038779818 0.0038412907 0.0037029928 0.003842702 0.0037961323 0.0038285898 0.003837057 0.0037947209 0.0035957415 0.0036324328 0.0036211433 0.0036536008 0.0034913127 0.0035957415 0.0036239657 0.0038215339 0.00360562 0.0036084424 0.003683236 0.0034052294 0.0035308262 0.003492724 0.0033939397 0.0036846471 0.0034687335 0.0034828454 0.0034221637 0.0035703399 0.003508247 0.0034856678 0.0033276132 0.0036281992 0.0033643045 0.0035675175 0.0034320422 0.0035026022 0.0033628934 0.0037368617 0.003543527 0.0036042088 0.0034433317 0.0034899015 0.0035336488 0.0035251814 0.0034207525 0.0035618728 0.003333258 0.0036818248 0.0035195367 0.0035265926 0.0035054246 0.0035519942 0.003492724 0.0034983687 0.0033530148 0.0035265926 0.00353506 0.00334737 0.003402407 0.0034560326 0.003354426 0.003319146 0.0033233797 0.0034955463 0.0033897061 0.0033374918 0.0032895107 0.003494135 0.003345959 0.0032753989 0.0032161283 0.0035153031 0.0033699493 0.0032358852 0.0033897061 0.003396762 0.0033233797 0.003269754 0.003388295 0.0033911173 0.0033163237 0.0032669315 0.0031893156 0.0033163237 0.0032542308 0.0032302404 0.0033205573 0.0035872743 0.0032316516 0.003269754 0.0036775912 0.0035308262 0.0034757894 0.0032528196 0.0033106788 0.0035745734 0.003115933 0.0032612868 0.0031455683 0.003283866 0.0033135011 0.0033360806 0.0032499973 0.003801777 0.0032372964 0.0032260066 0.0038497578 0.003220362 0.0032612868 0.00320625 0.004481976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046517444 0.0040313234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.7558566e-05 0.0 0.0 0.0 1.4132597e-06 8.479558e-06 0.00016817791 0.009591088 0.008905657 0.000110234265 0.0 7.0662986e-07 0.0 0.0 0.0 0.0 0.0011687658 4.239779e-06 2.1198896e-06 7.0662986e-07 4.9464093e-06 1.4132597e-05 9.822156e-05 0.0021227163 0.0021311957 5.865028e-05 3.5331493e-06 0.0 9.8928185e-06 1.4132597e-06 0.0 0.00016817791 0.0023467178 1.2012708e-05 2.1198897e-05 1.6959117e-05 4.2397794e-05 8.338233e-05 0.00034907516 0.003411609 0.0031741813 0.00034836854 6.3596686e-05 5.2997242e-05 2.4025416e-05 8.479558e-06 1.6252487e-05 0.00015899172 0.0 0.0 5.653039e-06 7.0662986e-06 9.8928185e-06 4.451768e-05 0.00026427957 0.0018704493 0.0017595084 0.00029961107 3.8864644e-05 4.1691164e-05 0.0 0.0 0.0 0.0 0.0014818029 2.1905527e-05 3.1798343e-05 4.0277904e-05 0.00014839228 0.00018301714 0.00035755473 0.0021834862 0.0018647963 0.00030385086 0.00014061935 7.490277e-05 6.924973e-05 4.593094e-05 3.1798343e-05 0.00025650664 4.3104425e-05 3.1798343e-05 3.7451384e-05 8.1262435e-05 0.00027134587 0.00053774536 0.0009009531 0.0049471157 0.0043464806 0.000987162 0.0003448354 0.00024237405 0.00014909891 5.0877352e-05 2.9678455e-05 2.3318786e-05 2.3318786e-05 4.0277904e-05 8.4088955e-05 0.00017312432 0.0004967608 0.0009002465 0.0012797067 0.0052686324 0.0049782074 0.0011624062 0.00057095697 0.0005200796 0.0002508536 8.2675695e-05 3.6744754e-05 5.0877352e-05 5.653039e-06 2.9678455e-05 9.1155256e-05 0.0002840652 0.0011185951 0.0018344112 0.0023968886 0.006126481 0.00576822 0.0023361184 0.0012578012 0.0011369674 0.0005525846 0.00014839228 5.5823763e-05 1.2012708e-05 0.0013892343 0.00017453758 0.0002762923 0.00038935305 0.00059780886 0.00073348184 0.00090377964 0.0031049317 0.0025933317 0.0008147443 0.00045930943 0.00041973815 0.00032010334 0.00028901163 0.0002437873 0.00031515694 0.00016535139 4.451768e-05 6.712984e-05 0.000198563 0.00052573264 0.0009716161 0.0011087023 0.0016853123 0.0012443752 0.0007440813 0.00054057187 0.00055894424 0.00036391438 0.00020492266 7.8435914e-05 0.00018089724 0.00010104807 8.4088955e-05 0.00016393814 0.00032575638 0.0005292658 0.0007469078 0.0007702266 0.0010613581 0.0010083609 0.00060840836 0.00047838842 0.0004515365 0.00034695526 0.0002388409 0.00013567293 0.00018513703 0.059566073 0.054665595 0.053489763 0.05359293 0.05512137 0.055288136 0.054414034 0.053742737 0.054409795 0.052088514 0.052669365 0.052627675 0.053384475 0.052728016 0.053057306 0.053119488 4717.0 12.223871 57660.0 0.00381547 0.0036246965 0.0033298647 0.0029309746 0.0032258064 0.0035032951 0.003052376 0.0030176898 0.0032604926 0.0039889 0.0032604926 0.0045612208 0.0035553244 0.0032778357 0.0036073534 0.0043531046 0.0036593827 0.0035206382 0.0036767256 0.0037807839 0.0039021852 0.0039889 0.003798127 0.0035553244 0.0039889 0.004474506 0.0040062433 0.0048387097 0.0047519943 0.0042837323 0.00461325 0.0046652793 0.004994797 0.0058966354 0.0054283733 0.0058099204 0.005740548 0.0052896286 0.005029483 0.006226153 0.006243496 0.006000694 0.00563649 0.0066597294 0.0068158167 0.0063128686 0.0063475547 0.0070759626 0.0076829693 0.0070586195 0.0077696843 0.008012487 0.008532778 0.007943115 0.0075615677 0.0075268815 0.0077870274 0.007596254 0.007596254 0.008532778 0.00842872 0.008792924 0.007821714 0.008272633 0.008896982 0.00945196 0.008532778 0.0079778 0.009139785 0.008879639 0.009434617 0.009920222 0.009556018 0.010718002 0.0096947625 0.010006937 0.009139785 0.011394381 0.010665973 0.011862643 0.012382935 0.01264308 0.013596947 0.01600763 0.018002082 0.01840097 0.021592092 0.023673257 0.027662158 0.033281304 0.043860562 0.046444677 0.0527402 0.057821713 0.056798473 0.045525495 6.010579 0.0 0.0 0.0 20.0 708616.0 155648.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1542111900.0 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 7.0 10.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60928.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.905602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1607516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 86016.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 152484.0 932.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 150776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.052158237 0.005144791 0.0039871866 0.0039403285 0.004856189 0.0035228666 0.0036677003 0.0037284028 0.005837011 0.0034483199 0.0030660015 0.0033365 0.00471455 0.0036378817 0.0033727083 0.005243832 0.0040777074 0.0031075347 0.002960571 0.0033727083 0.003465359 0.0033684485 0.0030915604 0.0031533279 0.0033215904 0.0034610995 0.0030415077 0.0032246797 0.003657051 0.0033652536 0.0033375646 0.0036091278 0.0036943243 0.002781659 0.0030021043 0.0031916662 0.003651726 0.0031043398 0.0029925199 0.003398267 0.003149068 0.0029733507 0.0029360773 0.0033141358 0.002985065 0.0038700416 0.003144808 0.003489853 0.003743312 0.0030021043 0.0032651478 0.0041192407 0.0030755862 0.0029701558 0.0030425726 0.0032736675 0.0035324513 0.0033822928 0.003516477 0.0037007139 0.0036197775 0.0037379873 0.0035931536 0.004735849 0.004336491 0.003837028 0.0059190122 0.0046378733 0.0032331992 0.0085185645 0.0032875119 0.0035505556 0.0032459788 0.0030212735 0.0032779274 0.0029595061 0.003264083 0.007144774 0.003264083 0.0034642941 0.0044259476 0.0038956006 0.0033396946 0.0032896418 0.003424891 0.0060116635 0.0037390522 0.0036677003 0.0031863414 0.003884951 0.0028636605 0.0034610995 0.0032704726 0.004105396 0.0037315977 0.0038689766 0.00333437 0.0034621644 0.0030031693 0.003403592 0.0040319148 0.004282179 0.0038785613 0.0035569451 0.003842353 0.0036016733 0.0037603513 0.003152263 0.0039818618 0.0035303214 0.0035143471 0.0041330853 0.0036325569 0.0031277689 0.004300283 0.003971212 0.0055239145 0.004724134 0.0035079573 0.0031884713 0.0036006083 0.0035058274 0.0034429953 0.0033460844 0.003467489 0.0037337276 0.003582504 0.003588894 0.0036006083 0.0033918773 0.0029978445 0.0060926 0.0030883655 0.004296023 0.0029318174 0.0033652536 0.00321403 0.007143709 0.0030723913 0.01435877 0.0031575875 0.0049754633 0.0033365 0.003307746 0.0037294677 0.0030393777 0.0030841057 0.0033876176 0.0030904955 0.0036357518 0.0029083884 0.0032513035 0.0028647254 0.0029765454 0.0026772935 0.0031171194 0.0032789924 0.0032821873 0.0033386296 0.0033045511 0.0032587582 0.0035473607 0.0029169081 0.0035345813 0.003031923 0.0030031693 0.0027646197 0.0032907068 0.003145873 0.00298826 0.0028189323 0.0032491735 0.0029754804 0.0030031693 0.0032523684 0.00333437 0.0031160545 0.0029360773 0.0031000802 0.0030521571 0.0032726026 0.003032988 0.0035995434 0.0032289394 0.0035249966 0.0030681314 0.0033269152 0.0030958203 0.003495178 0.003515412 0.0035803742 0.0037071037 0.0045814305 0.003969082 0.003582504 0.0041671637 0.0035111522 0.0031671722 0.0035122172 0.004727329 0.003631492 0.0036389467 0.003331175 0.003219355 0.008398225 0.0030521571 0.0034302156 0.003309876 0.0035399059 0.0035100873 0.003240654 0.0031607824 0.0032896418 0.003193796 0.0030127538 0.0032875119 0.0035409709 0.0034621644 0.0033482143 0.003467489 0.003465359 0.0033972021 0.0032289394 0.0035079573 0.0044248826 0.0035452307 0.002987195 0.0033162658 0.0039626923 0.0038966655 0.002962701 0.0032459788 0.007261919 0.0038902757 0.003401462 0.004225736 0.0053396774 0.0035026325 0.0033556689 0.0035729194 0.0050851535 0.003241719 0.003629362 0.0032214848 0.004477065 0.0033226553 0.0036251023 0.003881756 0.0047539533 0.0034792037 0.0037081686 0.003333305 0.0054110293 0.0036240374 0.0040489538 0.014207547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046056225 0.00016791331 0.00022868194 5.117358e-05 0.00034808696 4.637606e-05 0.00028945057 0.0001732439 1.5458685e-05 7.729343e-05 2.5053732e-05 1.8123976e-05 1.705786e-05 2.3454559e-05 1.8657034e-05 0.00044457047 0.004100283 7.729343e-05 0.0003272977 7.196285e-05 0.00049201265 9.8082695e-05 0.0005096036 0.000320901 2.2388442e-05 4.1578536e-05 1.5991744e-05 1.5991744e-05 1.9723151e-05 1.6524802e-05 3.624795e-05 0.0003843349 0.006628578 0.00012366948 0.00065512845 0.00022121913 0.0007489467 0.00026706213 0.0013299801 0.0012180378 4.637606e-05 0.00010074799 8.955377e-05 3.7847127e-05 3.9446302e-05 4.637606e-05 3.5181838e-05 0.00042058286 0.004878548 0.00015938438 0.00036994234 0.00023507864 0.0010410625 0.0004520333 0.0017862779 0.0008720831 0.0001183389 0.00053519034 0.00011087609 5.117358e-05 0.000137529 5.757028e-05 6.023557e-05 5.170664e-05 0.006723462 0.0002558679 0.0006242111 0.00043444237 0.0014898975 0.00053145894 0.0021796748 0.0012025791 0.00019723151 0.00029478114 0.00021428936 0.00012580171 0.00015885133 0.00014659099 0.00021695466 0.00048774818 0.0024419392 0.00021375631 0.00018923564 0.00032836382 0.00049041345 0.00012260336 0.00028465304 0.00017964058 0.00019403316 8.902071e-05 8.955377e-05 8.955377e-05 0.000183372 0.00014552487 0.00014072735 0.0002761241 0.0054990277 0.0005522482 0.00034595473 0.00046002917 0.0028646544 0.0016252942 0.00047069034 0.0003806035 0.0047271596 0.0006631243 0.00029371504 0.0003870002 0.0025336253 0.00040778948 0.0018747655 0.0031151918 0.01983456 0.0026349064 0.0015874471 0.0025416212 0.010065737 0.006373776 0.0030032494 0.0024232822 0.014712937 0.00090459967 0.0013347776 0.00150429 0.008463364 0.001861439 0.0065502184 0.010090257 0.008993757 0.0019472614 0.0013624966 0.0022404434 0.0031994148 0.0033646629 0.0015448024 0.0024963112 0.005478238 0.0004962771 0.00063327304 0.0011119592 0.0032628488 0.0015106867 0.0029659355 0.00524316 0.049415555 0.047530662 0.045950145 0.049749784 0.046276376 0.04733823 0.04700187 0.050970487 0.046880864 0.047817446 0.04736328 0.049365982 0.048463512 0.049496047 0.051057376 0.05261497 3675.0 7.2854424 26774.0 0.019421827 0.005975947 0.0071337866 0.0074325837 0.011615747 0.007656682 0.0070217373 0.00896392 0.008030179 0.00672294 0.008179577 0.008104878 0.0073578847 0.007283185 0.010532606 0.008478374 0.0077687306 0.0066482406 0.009225368 0.009075969 0.0073578847 0.0068723387 0.00788078 0.006834989 0.0074699335 0.0076940316 0.008627773 0.0074699335 0.007955479 0.00788078 0.008403676 0.01124225 0.022185702 0.0112796 0.0072458354 0.010345858 0.007283185 0.0075072832 0.009972361 0.008291626 0.008067528 0.007395234 0.0077313813 0.007096437 0.0074699335 0.007096437 0.006834989 0.008104878 0.011130201 0.008104878 0.008814521 0.009337417 0.010607306 0.006162695 0.01232539 0.011018152 0.009598864 0.009300067 0.007544633 0.008030179 0.0075072832 0.0077687306 0.0069096885 0.013296481 0.008777172 0.021289311 0.012138642 0.016882049 0.017106147 0.031000225 0.009673564 0.011130201 0.009598864 0.02035557 0.0072458354 0.0074325837 0.020430269 0.010644656 0.019272428 0.025771271 0.01240009 0.007096437 0.021998955 0.020691715 0.030701427 0.012848286 0.009935011 0.007059087 0.009972361 0.011092851 0.0077687306 0.00791813 0.0073578847 0.008366326 0.007955479 0.008403676 6.445956 1.0 0.0 0.0 18.0 939008.0 954368.0 1.0 0.0 70.0 0.0 1.0 0.0 1.0 0.0 1542619600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 142336.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142336.0 0.0 727040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.195446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2561903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3071866 0.0 7.9949207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59110.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141938.0 0.0 726592.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 204940.0 726592.0 225280.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 192256.0 0.0 0.0 0.0 0.0 24.0 192448.0 64.0 192288.0 0.0 0.0 284.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.017242739 0.0044389204 0.003945707 0.004346854 0.004228483 0.004373159 0.003978588 0.0037352694 0.0043337015 0.0038930976 0.0038141834 0.004379735 0.0038207597 0.0037681502 0.0035445602 0.0044060396 0.0036563552 0.0039259787 0.003833912 0.0037155407 0.0037023884 0.0035248317 0.0038865216 0.004004893 0.004018045 0.0038404881 0.0037681502 0.003899674 0.003833912 0.003833912 0.0038404881 0.004018045 0.003899674 0.003689236 0.003899674 0.0036695076 0.005313552 0.003939131 0.00426794 0.0037615742 0.004018045 0.003833912 0.003945707 0.0043994635 0.0038930976 0.0039325547 0.0038207597 0.0037484218 0.0036695076 0.0036300505 0.0039917403 0.0038865216 0.0036958123 0.0038865216 0.0038141834 0.0035182554 0.0038733692 0.003722117 0.0038076073 0.004156145 0.0036563552 0.0038799453 0.003722117 0.0037549979 0.0038207597 0.003899674 0.0038733692 0.0037418455 0.004379735 0.004156145 0.0038141834 0.0038273358 0.0039259787 0.0037418455 0.0038141834 0.0035840173 0.0043139732 0.0036629315 0.0035905933 0.003722117 0.0038470645 0.0038470645 0.003794455 0.0038733692 0.003985164 0.00368266 0.003689236 0.0037681502 0.0040706545 0.003787879 0.003801031 0.0036958123 0.0037352694 0.003498527 0.0039917403 0.003577441 0.0039720116 0.0041495687 0.0037813026 0.0038536405 0.003945707 0.0038536405 0.0039983164 0.003570865 0.0037352694 0.0040706545 0.0035511365 0.0038273358 0.00412984 0.003801031 0.00412984 0.00390625 0.0036629315 0.0038865216 0.0038865216 0.0037155407 0.0038865216 0.003985164 0.003610322 0.0036958123 0.004050926 0.00368266 0.0035116794 0.003801031 0.003919402 0.0034722222 0.003722117 0.0036695076 0.0035971696 0.0039522834 0.0035905933 0.0037286931 0.003801031 0.0037813026 0.0036563552 0.00390625 0.003912826 0.0041495687 0.0036234744 0.0046625105 0.003801031 0.0041758735 0.0036695076 0.0039588595 0.0040838066 0.0040772306 0.0038207597 0.0037747265 0.0038733692 0.003689236 0.0038930976 0.0038141834 0.0036037457 0.0040969593 0.0037023884 0.0038076073 0.0037813026 0.0040706545 0.0039522834 0.0038799453 0.0038799453 0.0038141834 0.0035840173 0.0036497791 0.0038602168 0.0035971696 0.0037023884 0.003866793 0.003570865 0.004136416 0.0038865216 0.0035971696 0.0040377737 0.0037549979 0.0037484218 0.0037813026 0.0037747265 0.0038404881 0.0038141834 0.0037023884 0.0036563552 0.0035905933 0.0038865216 0.004031197 0.004018045 0.0038930976 0.003833912 0.003833912 0.0039654355 0.0038076073 0.003833912 0.00404435 0.004156145 0.004603325 0.0036629315 0.0036563552 0.004018045 0.003939131 0.003939131 0.004031197 0.0038470645 0.003866793 0.003919402 0.0037089647 0.003610322 0.003616898 0.003978588 0.0036300505 0.003866793 0.0037286931 0.0040640784 0.003978588 0.0039259787 0.004090383 0.003899674 0.0038733692 0.003722117 0.0037418455 0.0038865216 0.0033670033 0.0036563552 0.003866793 0.0038076073 0.0037286931 0.003794455 0.0036497791 0.0035314078 0.003794455 0.0034853746 0.0036497791 0.0039325547 0.0036497791 0.0037089647 0.0035511365 0.0037615742 0.003833912 0.0037484218 0.0037484218 0.0038865216 0.003939131 0.003985164 0.003912826 0.0037023884 0.003722117 0.0039654355 0.00368266 0.0038470645 0.004057502 0.0038076073 0.0039588595 0.0038602168 0.0037089647 0.004136416 0.0035971696 0.0038536405 0.0040640784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046569407 0.00011625744 0.00030891263 0.00016276042 0.00031555592 0.00010961416 0.00021922831 0.00015943877 0.0002889828 2.3251489e-05 2.6573129e-05 4.982462e-05 0.00011957908 2.6573129e-05 7.6397744e-05 0.00014283057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027137809 0.00016608206 0.00068093644 0.00015943877 0.0004583865 0.00015943877 0.00025244473 0.00023915817 0.0007174745 5.978954e-05 6.311118e-05 0.00012622237 0.00039195365 6.6432825e-05 0.0002092634 0.0003388074 0.0018435109 0.00014283057 0.0007872289 0.00020262011 0.00055471406 0.00017936862 0.00036538052 0.00029562606 0.000906808 6.975447e-05 6.311118e-05 0.00016276042 0.00049160287 8.304103e-05 0.000259088 0.0003952753 0.0035375478 0.0005248193 0.0009200946 0.0005879305 0.0008935215 0.00060121703 0.0007672991 0.0006576849 0.00095663266 0.00049824617 0.00048163798 0.0006443984 0.0007108312 0.0005082111 0.0006543633 0.0006610066 0.061742667 0.060583413 0.061586548 0.059679925 0.05974636 0.059842687 0.060895648 0.059072066 0.059410874 0.06156994 0.060148276 0.06086243 0.060769424 0.060795996 0.058743224 0.06053691 728.0 5.6675825 4126.0 0.009452254 0.007270965 0.008482792 0.009936985 0.016965585 0.0075133303 0.01236064 0.009209888 0.010421716 0.014299564 0.011148812 0.01236064 0.01017935 0.008967523 0.010664081 0.009452254 0.009694619 0.0077556954 0.01236064 0.013330102 0.008967523 0.010906447 0.011391178 0.008725158 0.009694619 0.008240427 0.01017935 0.009936985 0.008967523 0.011875909 0.008725158 0.011391178 0.010906447 0.010906447 0.009209888 0.008240427 0.011391178 0.012603005 0.011875909 0.01017935 0.011148812 0.009936985 0.01017935 0.009936985 0.01236064 0.0135724675 0.009694619 0.012845371 0.008482792 0.005574406 0.011875909 0.011391178 0.008967523 0.008240427 0.009694619 0.0135724675 0.009694619 0.011391178 0.011391178 0.010421716 0.012603005 0.01017935 0.009452254 0.008725158 0.011148812 0.012118274 0.010421716 0.01017935 0.010664081 0.012603005 0.008967523 0.008482792 0.012845371 0.012845371 0.010664081 0.009452254 0.012845371 0.011391178 0.011148812 0.009936985 0.008967523 0.011391178 0.010906447 0.007270965 0.01236064 0.0135724675 0.009452254 0.008482792 0.009452254 0.010906447 0.008482792 0.009452254 0.010421716 0.006543868 0.010421716 0.008725158 6.5630236 0.0 0.0 0.0 4.0 152064.0 380928.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1365764200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.45448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 372736.0 552.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 372836.0 0.0 0.0 0.0 0.0


Input: 0.0054405998 0.0039560543 0.0039060563 0.0038726574 0.0039512548 0.0039000565 0.003882657 0.0038764575 0.003941255 0.0038506582 0.003886657 0.0038750574 0.0039264555 0.003910256 0.0039064563 0.0039026565 0.003886857 0.0038758575 0.0038244592 0.003856258 0.0039312555 0.0038874568 0.0039068563 0.0038510582 0.0039100563 0.0038768572 0.003952455 0.0039424547 0.0038874568 0.0038510582 0.003883657 0.0038244592 0.0039238557 0.0038620578 0.003885057 0.0038410586 0.003910256 0.003916056 0.0038358588 0.0039250557 0.0038792572 0.0038428586 0.003884857 0.0039240555 0.0039498545 0.0038764575 0.0039032563 0.0038450586 0.0039076563 0.0039004565 0.0038794572 0.003963054 0.003859058 0.0039186557 0.0039452547 0.003884657 0.003856258 0.0038654578 0.0038980565 0.003856058 0.0038928567 0.0038716574 0.0038680576 0.0039226557 0.0040670503 0.0038924566 0.003990853 0.0039096563 0.0039088563 0.0039686537 0.0039220555 0.0038816573 0.0039248555 0.0039006565 0.0038992565 0.0039072563 0.0038668576 0.003913856 0.003882657 0.003939655 0.0039870534 0.003911056 0.003885057 0.0039706538 0.003911256 0.0039064563 0.0039002565 0.0039488547 0.003884057 0.0038888569 0.0038706576 0.0039436547 0.003907856 0.0039566546 0.0039010565 0.003883657 0.003830059 0.003885057 0.0039040563 0.0038872568 0.003859458 0.003940855 0.003940655 0.0038702576 0.0039690537 0.0039468547 0.0039540543 0.0038760575 0.0039346553 0.0038758575 0.0039044563 0.0039560543 0.0039562546 0.0038890569 0.0039354553 0.003978654 0.0040140525 0.004014252 0.0038970567 0.003887057 0.003913856 0.003913856 0.003859458 0.0038676576 0.0038674576 0.0039258557 0.0038510582 0.0038248592 0.0039242557 0.0039448547 0.003912456 0.0039528543 0.0038722574 0.0039488547 0.0039258557 0.0039096563 0.003860658 0.003932055 0.0038770572 0.004023052 0.0039068563 0.0039210557 0.0038776572 0.0038798572 0.0039248555 0.003885057 0.0038738574 0.0038970567 0.0038708576 0.003952455 0.0039564543 0.003941655 0.0038912569 0.0038742574 0.0039024565 0.0038974567 0.0038384588 0.0038532582 0.0038946567 0.003914656 0.0038918569 0.0038722574 0.003855658 0.0038924566 0.003858658 0.0038552582 0.0039016565 0.0038752574 0.0038764575 0.0038612578 0.003886857 0.0038990565 0.0038876568 0.003906256 0.0038712576 0.0038902569 0.003909456 0.0038744574 0.0038974567 0.0038420586 0.0038764575 0.0038900569 0.0039330553 0.0038708576 0.0038944567 0.0038728574 0.0038744574 0.0038962567 0.0039262557 0.0039030563 0.003882257 0.0038792572 0.0039076563 0.003911256 0.003882457 0.003920056 0.0038952567 0.0038960567 0.0039496548 0.0039334553 0.0038946567 0.0038810573 0.0038802573 0.0038794572 0.0039046563 0.0038532582 0.0038690576 0.0038240594 0.0039358553 0.0038516582 0.003885057 0.003916056 0.0038930567 0.0038618578 0.0039022565 0.0038944567 0.0038778572 0.0038634578 0.0038774572 0.003857258 0.0038764575 0.0039178557 0.003914256 0.0038766572 0.0038910569 0.0038792572 0.0039076563 0.0038874568 0.0039234557 0.003933255 0.0038766572 0.0038644578 0.0039710538 0.0038948567 0.003887057 0.003915856 0.0038554582 0.0038530582 0.003831059 0.0038924566 0.0038874568 0.0038784572 0.003918856 0.0038904569 0.0039036563 0.0039244555 0.0039092563 0.003884257 0.003967654 0.003914056 0.0038964567 0.0038684576 0.0039000565 0.0039008565 0.0038918569 0.004181046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014235284 2.1007797e-06 1.6005941e-06 9.003342e-07 4.4016338e-06 2.6009654e-06 1.6005941e-06 7.402748e-06 1.6606164e-05 2.0007427e-07 5.0018565e-07 4.0014854e-07 7.902933e-06 8.002971e-07 1.9007056e-06 1.360505e-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 0.0002063766 3.901448e-06 7.1026366e-06 1.1004085e-05 5.902191e-05 3.0211215e-05 0.0001691628 8.543171e-05 8.403119e-06 2.7010026e-06 2.5009283e-06 4.501671e-06 6.5024137e-06 3.001114e-06 3.4012626e-06 1.1404233e-05 0.00040595068 8.1030075e-06 4.081515e-05 2.510932e-05 6.752506e-05 3.2912216e-05 0.00020297534 0.00015315686 2.510932e-05 8.503156e-06 5.7021166e-06 5.0018566e-06 1.0503899e-05 6.002228e-06 8.00297e-06 1.9007055e-05 0.000102838174 7.702859e-06 6.4023766e-06 6.702488e-06 1.3104865e-05 8.70323e-06 5.5020423e-06 1.150427e-05 1.1204159e-05 1.0003713e-06 2.8010397e-06 2.0007426e-06 6.802525e-06 2.300854e-06 4.3015966e-06 1.2004456e-05 7.9729594e-05 3.3012254e-06 4.1015223e-06 3.4012626e-06 1.6105978e-05 4.3015966e-06 6.3023394e-06 1.850687e-05 1.9707315e-05 3.1011512e-06 3.4012626e-06 5.0018566e-06 1.0603936e-05 5.0018566e-06 6.702488e-06 1.5605792e-05 0.0005489038 9.5135314e-05 3.7213813e-05 8.973331e-05 0.00016926283 0.00013555032 7.662844e-05 0.00014695455 0.00018806981 2.230828e-05 2.230828e-05 2.6009655e-05 9.043357e-05 4.8417973e-05 0.00012194527 0.00022988534 0.00057581376 0.00012974816 9.813643e-05 0.00013545027 0.0002187812 0.0001718638 0.00010323832 0.00019317171 0.00021077823 3.7213813e-05 4.1015224e-05 4.4816636e-05 0.000102438025 4.711749e-05 0.000117143485 0.00023178603 0.06184736 0.061902877 0.06201342 0.062023122 0.0622312 0.062278617 0.061973903 0.06198251 0.062196787 0.062299527 0.062006216 0.062137965 0.062054534 0.06209495 0.06200782 0.062188283 23556.0 5.7201986 134745.0 0.011043081 0.009432632 0.010189617 0.009825967 0.010300939 0.010323203 0.010382574 0.009796282 0.009929867 0.00999666 0.010531003 0.0102044605 0.01004861 0.009989239 0.010798174 0.009573639 0.010286096 0.010300939 0.009937289 0.010538424 0.010263831 0.010308361 0.010122824 0.010145089 0.010004082 0.009885339 0.009929867 0.009885339 0.009900182 0.01004861 0.010531003 0.010041188 0.010033768 0.010404839 0.0100115035 0.010441946 0.010389996 0.010056032 0.010746225 0.010664589 0.010456788 0.010389996 0.010508738 0.01004861 0.0105903745 0.010300939 0.010545846 0.010545846 0.010256411 0.010545846 0.010308361 0.0109762885 0.009788861 0.009833389 0.00994471 0.010694275 0.010182196 0.01036031 0.010441946 0.010694275 0.01041226 0.009811125 0.010330625 0.010026346 0.009855653 0.011458681 0.010857546 0.010954024 0.010813017 0.013180452 0.01077591 0.01036031 0.01087981 0.011421574 0.009811125 0.010018924 0.011592267 0.010738803 0.011325096 0.012000445 0.01062006 0.009885339 0.011332517 0.01134736 0.012349253 0.01113956 0.01041226 0.01046421 0.0105903745 0.010471632 0.010315781 0.010041188 0.009759175 0.010130246 0.009922446 0.009937289 6.582776 0.0 0.0 0.0 73.0 5000184.0 200704.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1198530300.0 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 23040.0 1024.0 4096.0 5.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 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 -23040.0 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 5.260295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0516963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.472585 0.0 4.6017003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22836.0 0.0 3760.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 3760.0 196608.0 0.0 0.0 17064.0 78558830.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.12239765 0.0028060891 0.0012631476 0.0012210427 0.0019381845 0.000797277 0.0008081428 0.00078097836 0.0021799484 0.0006261409 0.00062749913 0.0005826778 0.0015266429 0.00057860307 0.00044957187 0.0018947214 0.0016027034 0.00051748304 0.00037758605 0.00050661725 0.0008176504 0.0006750369 0.0004740199 0.00033955582 0.0006859027 0.000468587 0.00035449627 0.00041289986 0.00069133565 0.0030926743 0.0003449887 0.000468587 0.0011381911 0.0004631541 0.0004088252 0.0005853942 0.0008529642 0.00044821366 0.00040067584 0.00051884126 0.0006044093 0.00048352746 0.00039931762 0.00059626 0.00053921464 0.001180296 0.00044685544 0.00032461536 0.0009779207 0.000632932 0.00086926285 0.0016529576 0.00072800764 0.00076875434 0.00059897645 0.0004848857 0.00079863524 0.0007741872 0.00059761823 0.0011164595 0.000493035 0.00075788854 0.00044685544 0.00082987436 0.0008583971 0.00070899253 0.0005731702 0.00065738003 0.00068726094 0.002068574 0.00091408426 0.0005609462 0.0005636626 0.0005623044 0.00034770515 0.00033004823 0.00057045376 0.0010485484 0.00057588663 0.00035857092 0.0015103442 0.00073344057 0.00050797546 0.0007945606 0.0005120502 0.0010363243 0.001010518 0.00092766644 0.00053513993 0.0011707884 0.0004020341 0.00054736395 0.0005324235 0.0011110266 0.0009548309 0.00075924676 0.0008081428 0.00090186024 0.00048216924 0.00065738003 0.00065873825 0.0012780881 0.0013514321 0.00037486962 0.0008176504 0.0008040682 0.0011083102 0.00048352746 0.00079184416 0.00059761823 0.0007782619 0.0008420984 0.00079184416 0.00044006432 0.00097248785 0.00085703883 0.0024991308 0.0025099965 0.0006342902 0.00046451236 0.0005555133 0.0005215577 0.0005242742 0.00035857092 0.00065194716 0.0024067715 0.00046043767 0.0006342902 0.000888278 0.0007252912 0.00034634693 0.0028169549 0.00078776944 0.0017656902 0.00067096227 0.00082987436 0.00071714184 0.0020998132 0.0005921853 0.0057289856 0.00044549722 0.0016353008 0.00030831667 0.000456363 0.0005663791 0.00040610874 0.00032325712 0.00034906337 0.0005826778 0.0003966012 0.00030152555 0.0003327647 0.0004780946 0.00033683935 0.00042376565 0.00038030252 0.0003857354 0.0003857354 0.00037758605 0.00032325712 0.00066824583 0.00057724485 0.00034770515 0.00037622784 0.00035449627 0.00030288377 0.0002567042 0.00029065978 0.0004794528 0.00032461536 0.00033412292 0.00042240744 0.0003979594 0.00030016733 0.00041561632 0.00032869002 0.00066009647 0.00032325712 0.00030967488 0.00046994523 0.0004794528 0.00040746696 0.00041425807 0.00057724485 0.000620708 0.0004088252 0.00042512387 0.00033548113 0.00038437717 0.00059761823 0.0003966012 0.00041154164 0.001970782 0.0010729963 0.0007443063 0.0013622979 0.00083938194 0.00038845185 0.0008122175 0.00087062106 0.00079048594 0.0008488895 0.00038981007 0.00035449627 0.0011707884 0.000584036 0.00044278076 0.0004916768 0.00071985833 0.00050933374 0.0005324235 0.0004794528 0.0005269906 0.00038845185 0.00049846794 0.000431915 0.00060576753 0.00069948495 0.00035585448 0.00061663333 0.00043055677 0.0006139169 0.0003735114 0.00041154164 0.0007755455 0.0005039008 0.0002811522 0.0003626456 0.00055822975 0.0005324235 0.0003870936 0.0004264821 0.0026852074 0.0009072931 0.00041697454 0.00125364 0.0011096684 0.00041018342 0.00041425807 0.00036536204 0.0010336079 0.00042376565 0.000444139 0.00055822975 0.0006859027 0.0003925265 0.0007782619 0.0008067846 0.0012590729 0.0005025426 0.00047673634 0.00041018342 0.0013093272 0.0004631541 0.0010145927 0.6894817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052160406 0.00021489816 0.00032030707 0.00013193114 0.00025842185 0.00014825253 0.00036723103 0.0002652224 0.00014689242 4.8964135e-05 4.4203734e-05 4.3523676e-05 5.4404598e-05 8.3647064e-05 9.860833e-05 0.00091399724 0.00087455387 7.208609e-05 2.1761838e-05 0.00012037017 8.908752e-05 1.8361552e-05 3.2642758e-05 2.1761838e-05 1.4961264e-05 1.8361552e-05 1.9041609e-05 2.7202299e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 2.0401723e-05 0.0030827005 0.0002523013 0.00030806602 0.000119690114 0.0003182669 0.00017205454 0.0013662354 0.0010404879 8.63673e-05 6.052511e-05 2.2441896e-05 2.9922528e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.8361552e-05 0.003386006 0.0006174922 0.00042707607 0.00024890102 0.000260462 0.00013941177 0.0010289269 0.0010445683 0.00022441895 0.00018293546 7.752655e-05 9.5208045e-05 8.092684e-05 6.3245345e-05 4.6243906e-05 0.0004331966 0.004391131 0.00065149507 0.00038287236 0.0027045885 0.00043523678 0.00039239315 0.0010092052 0.000875914 0.00037471164 0.00038763275 0.00032778768 0.0003162267 0.0005018824 0.00037947207 0.00026318224 0.0005338451 0.0021741437 0.00027202297 0.00019381638 0.00026998282 0.00019585654 0.00030466574 0.00019585654 0.0003373085 0.0010962526 0.00023461982 0.00023461982 0.0002781435 0.00046243906 0.00019721666 0.00024890102 0.0016607003 0.009127051 0.0016749816 0.0011037332 0.0019123215 0.0017409471 0.0020972972 0.0013689556 0.0025073718 0.0048386087 0.00056648784 0.0006202124 0.00080314785 0.0023529988 0.0008262698 0.0019898482 0.0040742243 0.012089381 0.0037613977 0.001798752 0.0025984994 0.003573702 0.005004543 0.0023516386 0.004590388 0.009222259 0.0007004592 0.00095548073 0.0010914922 0.0049630594 0.0019633258 0.0044081323 0.007779857 0.0040198197 0.002569257 0.002309475 0.0023842815 0.0025774178 0.0026121007 0.0024475267 0.002557696 0.003100382 0.0022428294 0.0022101868 0.0022312684 0.0028848038 0.0023740805 0.0025624565 0.002699148 564.0 10.820922 6103.0 0.033098478 0.0024578075 0.0026216614 0.0039324923 0.0044240537 0.0027855153 0.0016385384 0.009175816 0.0065541537 0.002293954 0.0014746846 0.0037686385 0.005407177 0.0019662462 0.004915615 0.0024578075 0.012125185 0.012616746 0.019334754 0.01966246 0.017204653 0.0170408 0.011797477 0.012944453 0.016385384 0.010978207 0.0077011306 0.0068818615 0.007209569 0.0106505 0.0058987383 0.010486646 0.0057348846 0.007373423 0.0044240537 0.0085204 0.0067180074 0.0067180074 0.008028838 0.008192692 0.008028838 0.005079469 0.002293954 0.0036047846 0.0077011306 0.0060625924 0.0042602 0.0034409307 0.020154024 0.005243323 0.0063902996 0.0106505 0.0090119615 0.0042602 0.009175816 0.010322792 0.0068818615 0.0039324923 0.0037686385 0.0037686385 0.004915615 0.004587908 0.0032770769 0.007864985 0.010486646 0.031623792 0.0068818615 0.02474193 0.021137146 0.058331966 0.008028838 0.008848107 0.0106505 0.024578076 0.008356546 0.0027855153 0.030312961 0.007864985 0.023594953 0.03211535 0.013927577 0.0032770769 0.038177945 0.021956414 0.04915615 0.016876945 0.007864985 0.0039324923 0.009175816 0.008848107 0.0032770769 0.0021301 0.0036047846 0.002293954 0.0027855153 0.004096346 6.083592 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 19.0 5.0 1.0 5.0 1.0 84480.0 1024.0 1286144.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6985683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4289995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.925652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28233.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84455.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.14261779 0.008641315 0.0041911993 0.0034281446 0.006248833 0.003953445 0.0020314932 0.0019630298 0.007893197 0.0015124168 0.001704114 0.0015074376 0.004579573 0.0013742454 0.0012323395 0.00389494 0.0061716563 0.0015074376 0.001188772 0.00089749176 0.0024746375 0.001985436 0.0007692786 0.00082778366 0.0023115703 0.0007568308 0.0008327628 0.00071326323 0.0016207133 0.0006062115 0.0005962532 0.00056762306 0.0038974294 0.00058878446 0.0006547582 0.0005452169 0.0041725277 0.001323209 0.0004667953 0.0005638887 0.001188772 0.000656003 0.0005862949 0.00094728323 0.0011103504 0.0023526482 0.00067965395 0.00052032113 0.005735981 0.0026837618 0.003314869 0.010127591 0.003390801 0.0018846082 0.0028505633 0.0015995519 0.003924815 0.0019505819 0.0007182424 0.0014900105 0.0016754839 0.0009808926 0.0004680401 0.00053152425 0.011836684 0.0039497106 0.0049281134 0.008875335 0.0038899607 0.03273791 0.0032862388 0.002723595 0.003402004 0.0035675608 0.0022007842 0.0023675857 0.0027248398 0.004411527 0.0011663658 0.0015398021 0.009109355 0.002155972 0.002067592 0.00981017 0.0032227547 0.013914234 0.0032401818 0.0021074251 0.0019368893 0.0065500718 0.0027572042 0.0032775253 0.0015746561 0.004662974 0.0023912366 0.003624821 0.005796975 0.0044426466 0.001727765 0.0032899731 0.009259974 0.0061716563 0.003928549 0.001563453 0.007853364 0.004288293 0.003706977 0.0014078546 0.0035053215 0.0017601295 0.004421485 0.004076679 0.0031779425 0.0017265202 0.0048969937 0.0038725338 0.010217216 0.0055903406 0.0017489264 0.0011389805 0.0028219332 0.001270928 0.00053401385 0.0005937636 0.0016630361 0.0025331425 0.0010692724 0.00088006473 0.005275409 0.0011651211 0.001095413 0.009118068 0.0031405988 0.0032464056 0.0010406423 0.00062239374 0.0026787827 0.01528101 0.0022468413 0.052042075 0.0012037095 0.011067405 0.0008626377 0.0006846331 0.0026725587 0.0004468787 0.000731935 0.00064977905 0.001130267 0.0009423041 0.0015211302 0.00057135744 0.0011813033 0.00059251883 0.0005028941 0.0007169976 0.0009622207 0.00047924317 0.0004680401 0.00042198296 0.0009024709 0.003349723 0.00046928486 0.0025667518 0.0014327504 0.0008228045 0.00056762306 0.0004555922 0.0010530902 0.00046057135 0.00051285245 0.0004904463 0.0008526794 0.00045310264 0.00074687245 0.0006622269 0.0013331673 0.00068961224 0.0017414576 0.00054023776 0.0008837991 0.0006746748 0.0007169976 0.0015895936 0.0031704737 0.0025505696 0.0046804007 0.00082902843 0.001007033 0.00048297754 0.00085890334 0.00071948714 0.012073194 0.0011564075 0.002301612 0.010415137 0.004385386 0.001065538 0.0035800086 0.0033895562 0.0018821186 0.0017763117 0.000989606 0.0013107612 0.0016929109 0.0008987365 0.0009983196 0.00094852806 0.002892886 0.0011576524 0.0029937138 0.0013617974 0.0018248584 0.000773013 0.0016144894 0.0008813095 0.0033895562 0.00065849256 0.0010929233 0.0017987179 0.0015061928 0.0007232215 0.0005663783 0.0008477002 0.002454721 0.0006622269 0.0008837991 0.0009970748 0.0024484969 0.0024472522 0.0005539304 0.00069832575 0.027786145 0.0060646045 0.0011003921 0.0059376364 0.0065749674 0.0010493558 0.0006846331 0.00075932033 0.0072894753 0.0009833821 0.0018285927 0.00092487707 0.00919649 0.002184602 0.004122736 0.0026103193 0.01013257 0.0030733803 0.003093297 0.0036360242 0.014984751 0.004021908 0.004329371 0.06937823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011285969 0.0 0.0 0.0046470906 0.0032240283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062734477 0.0 0.0 0.00037353826 0.00027625618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.574715 83278.0 0.0056197317 0.0001320877 0.00057638274 9.6063784e-05 0.0034582964 0.0005883907 0.0001320877 0.0001801196 0.0004082711 0.00042027907 0.0007565023 0.0006003987 0.0005163429 0.014709767 0.0011647734 0.00048031894 0.025985254 0.016979273 0.027065972 0.012116045 0.022070656 0.013965273 0.023487596 0.011083359 0.02570907 0.014073345 0.0008525661 0.0005283508 0.0009846538 0.0005523668 0.000120079734 0.00014409568 0.0014049329 0.008801844 0.007637071 0.014973943 0.0073608877 0.016643051 0.004875237 0.003170105 0.005079373 0.018156055 0.0025336824 0.004118735 0.0070366724 0.006880569 0.004575038 0.009510315 0.013316843 0.002701794 0.006172098 0.021122025 0.013484954 0.0064602895 0.0060880426 0.003602392 0.0028699057 0.0055236677 0.0015730445 0.003086049 0.0012007974 0.0028819137 0.0030019933 0.022899205 0.0002641754 0.03153294 0.012872547 0.027582314 0.026057303 0.054252025 0.011215447 0.010350873 0.018612359 0.035771754 0.0073608877 0.0070006484 0.024256106 0.012116045 0.038365476 0.035051275 0.018984606 0.0028098659 0.03923005 0.029107327 0.0418718 0.011203439 0.010278825 0.0060640266 0.013749129 0.006892577 0.0010807175 0.00030019935 0.0005643747 0.0002641754 0.0003122073 0.00032421527 5.7725387 0.0 2.0 14.0 4.0 803350.0 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 -6.5771923 0.0 0.0 0.0 0.0 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