Input: 0.10779536 0.011141893 0.006089606 0.0053311232 0.011670146 0.004095551 0.002972536 0.0056943763 0.014688727 0.0020209153 0.0015118492 0.0021769605 0.008567145 0.0010654572 0.0016308018 0.0054462384 0.008130986 0.0011422008 0.0008352263 0.0010808059 0.004589268 0.007973662 0.0008812725 0.00072650623 0.005178915 0.00081604044 0.0006638323 0.00091580715 0.0040443884 0.00079301733 0.00083138916 0.02136926 0.004479269 0.0005640656 0.00042592705 0.0007751105 0.007238202 0.0011856889 0.00048860104 0.000573019 0.0024788189 0.0006280186 0.00042336894 0.0011204567 0.0017791728 0.00040290397 0.0006062746 0.0004732523 0.004439618 0.002081031 0.0020976588 0.011204568 0.0028177698 0.0020183572 0.0019467297 0.0017868471 0.0036248567 0.004119853 0.0019249857 0.0047082207 0.0024980046 0.0017855681 0.0017881262 0.0017651032 0.0063876268 0.0029392804 0.001421036 0.0026553292 0.0033843934 0.012817463 0.0034227653 0.0028318395 0.002293355 0.0010232482 0.0006344139 0.0015028958 0.0022409135 0.00714611 0.0021744024 0.001740801 0.008814004 0.0062891394 0.0016308018 0.0051443805 0.0015131283 0.0065487884 0.00843796 0.0066779735 0.0015476629 0.0023918427 0.0006280186 0.0030863723 0.0015873137 0.006534719 0.005176357 0.0041697365 0.0016742898 0.0013685945 0.0006958088 0.001018132 0.0018060331 0.003059512 0.0021130075 0.00069452974 0.0037092748 0.001570686 0.00481822 0.0006049955 0.0019019626 0.00082627294 0.001038597 0.0010654572 0.004517641 0.0016602202 0.005311937 0.0063876268 0.010374458 0.013598968 0.0014466172 0.0019352181 0.003354975 0.0016525459 0.00060755364 0.0008876678 0.0015169655 0.003377998 0.0014530125 0.0009004584 0.004822057 0.00235475 0.00056534464 0.011792935 0.0023496337 0.012019329 0.001571965 0.0015566163 0.0021501002 0.020242408 0.00071627373 0.067571476 0.0010219691 0.01188119 0.0013711526 0.001166503 0.0015975463 0.00037604372 0.00025581205 0.0004924382 0.0010910383 0.00052825187 0.00065743696 0.00046174074 0.0012598743 0.00051034504 0.00032360223 0.00032488132 0.00090557465 0.00040034586 0.0006241814 0.00051290315 0.0016039415 0.0022537042 0.00022383554 0.0004118574 0.0008774353 0.003179744 0.00040418303 0.00043871766 0.0010155739 0.00031081165 0.00028906763 0.00044511296 0.0009234815 0.00026860266 0.0003018582 0.00039778775 0.0017382429 0.00047197324 0.0003351138 0.0010347597 0.0010296435 0.00059987925 0.0007751105 0.00159243 0.0022639367 0.0005295309 0.0008851097 0.0014542915 0.00094010925 0.00050011254 0.0017817309 0.0010603409 0.008798655 0.0021731234 0.004752988 0.0030275355 0.0018354515 0.0020234734 0.0022140532 0.0047235694 0.0025952132 0.0024877721 0.0007149947 0.0018738232 0.04767697 0.002185914 0.0046135704 0.0027128868 0.0022562623 0.00071627373 0.0014478962 0.0010040622 0.0013596411 0.00041953177 0.0032321853 0.0009695277 0.0028753274 0.0013506876 0.0004732523 0.002125798 0.001825219 0.0013762688 0.0004310433 0.00066766946 0.0027857933 0.00055767025 0.0005180194 0.00028778854 0.0020541707 0.0030428844 0.0003901134 0.00041953177 0.017021734 0.0021309145 0.00047708946 0.0056598415 0.007731919 0.00032616037 0.00047708946 0.0003312766 0.010476783 0.0035340434 0.0011281312 0.0012061538 0.0068685533 0.00072266906 0.004778569 0.0020874264 0.0069593666 0.0020477755 0.0010513875 0.012240606 0.0068749487 0.0023688197 0.002357308 0.052467052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012232662 3.460261e-05 1.2815781e-06 0.0 2.5631562e-06 0.0 1.9223671e-06 0.0 6.4078904e-07 1.9223671e-06 1.2815781e-06 2.114604e-05 6.4078904e-07 2.5631562e-06 6.4078904e-07 1.9864461e-05 0.0011367598 6.3438114e-05 1.9223671e-06 6.4078904e-07 9.611836e-06 0.0 2.5631562e-06 1.9223671e-06 2.5631562e-06 7.0486794e-06 3.2039452e-06 3.460261e-05 1.2815781e-06 3.2039452e-06 5.1263123e-06 3.8447342e-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 0.001029748 7.0486794e-06 2.755393e-05 3.1398664e-05 2.691314e-05 1.2815781e-05 0.000110856505 4.9981547e-05 2.5631562e-06 0.0 2.5631562e-06 1.9223671e-06 1.9223671e-06 6.4078904e-07 1.2815781e-06 5.1263123e-06 0.0010015533 1.6019727e-05 8.3302575e-06 1.0252625e-05 1.1534203e-05 8.3302575e-06 1.1534203e-05 7.753547e-05 9.804072e-05 7.0486794e-06 7.6894685e-06 1.1534203e-05 1.0893414e-05 8.971047e-06 9.611836e-06 1.345657e-05 0.0054845135 0.0003043748 0.00021979064 8.073942e-05 0.00039024052 0.00028451034 0.00087275467 0.00043573655 4.165129e-05 3.9088132e-05 2.6272352e-05 3.5884186e-05 2.9476296e-05 3.0117086e-05 6.0874958e-05 0.0008503271 0.0032910926 8.586573e-05 0.0002575972 0.0001172644 0.00027938402 0.0003396182 0.0009989901 0.0005632536 1.8582883e-05 3.2039454e-05 2.691314e-05 1.4738148e-05 2.114604e-05 1.4738148e-05 2.2427617e-05 0.0004780286 0.009199168 0.00034858924 0.0009349112 0.000455601 0.001378978 0.0012098097 0.004561777 0.0026067297 0.0003268024 0.00011534203 0.00011790518 0.00010893414 0.00012687623 9.1632835e-05 0.00014161438 0.00058504037 0.007067903 0.000738189 0.0005216023 0.000619643 0.0006734693 0.0005728654 0.0019512026 0.0011668769 0.00029540376 0.00013905122 0.00018070251 0.00016211963 0.00015571174 0.00013392491 0.00023709194 0.0011322743 0.008543 0.0017903646 0.0016109437 0.021621503 0.0016833529 0.0015840305 0.0018871237 0.0016820712 0.0016391383 0.0015494279 0.0015750595 0.0015667292 0.001767937 0.0015532726 0.0016686147 0.0020832052 0.004024796 0.0049866205 0.00076702447 0.00084071525 0.0010867782 0.0013956386 0.0009925822 0.0009118428 0.0021492064 0.0005843996 0.0005773509 0.0007772771 0.00218445 0.0010156506 0.0009592612 0.0056177974 0.09413063 0.02926804 0.00946125 0.015305887 0.027373867 0.03786871 0.009261324 0.029079007 0.082816854 0.0047591403 0.0057536447 0.0085077565 0.05766845 0.010894055 0.023984093 0.063053645 0.054797716 0.022092484 0.009724614 0.011102952 0.02159331 0.026854828 0.0072274595 0.022346877 0.0558736 0.0029258428 0.00490524 0.0055998554 0.032452762 0.008653856 0.017065493 0.043239802 0.00025503404 0.00031398662 0.000109574925 0.00013328412 0.00016724593 0.00014738148 8.2021e-05 0.00014161438 0.0001460999 0.00015891569 0.000164042 0.0001582749 0.00014802227 0.00014930384 9.9963094e-05 0.00024990772 2426.0 9.472795 22981.0 0.010530438 0.0016970541 0.0020451678 0.002523824 0.016013227 0.0017840825 0.002306253 0.0032200513 0.0084417565 0.0021757104 0.0020451678 0.0023932813 0.0067882165 0.0026108525 0.005874418 0.0016100256 0.026804753 0.022844959 0.024585526 0.024367956 0.025890954 0.021887647 0.02193116 0.02088682 0.023454158 0.026239067 0.02088682 0.022888472 0.022496846 0.019015709 0.020973848 0.019015709 0.0072233584 0.0059614466 0.005439276 0.008572299 0.0120099215 0.005265219 0.0072668726 0.0072233584 0.009007441 0.00548279 0.0018711109 0.00248031 0.008833384 0.0030895087 0.0045254775 0.0030895087 0.015055915 0.01044341 0.006483617 0.015317001 0.009050955 0.0027849092 0.010182325 0.013271833 0.0067882165 0.0035246508 0.0017405683 0.0037422217 0.010530438 0.0034376225 0.005004134 0.0073103867 0.005830904 0.018145425 0.0059179324 0.009834211 0.0162308 0.03529002 0.008485271 0.005743875 0.013576433 0.019581392 0.008180671 0.0033070797 0.02006005 0.009616639 0.011705322 0.012271007 0.011792351 0.002523824 0.02223576 0.014185632 0.030372918 0.013358861 0.0042208782 0.006875245 0.008702842 0.0047865626 0.002523824 0.0021757104 0.006266046 0.0018275967 0.003785736 0.0023497671 6.174556 0.0 0.0 0.0 2.0 781824.0 802816.0 1.0 4.0 243.0 1.0 1.0 0.0 0.0 0.0 1540439000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 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 10.0 0.0 12.0 10.0 10.0 0.0 10.0 0.0 732672.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -732672.0 -7168.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.749846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4130013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.550293 -5.678355 0.44992614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -732400.0 -7046.0 1024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 -2.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 736336.0 220.0 750584.0 1056.0 761856.0 0.0 0.0 0.0 0.0 33872.0 765952.0 56.0 63488.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 15072.0 0.0 0.0 1012.0 749568.0 96.0 736028.0 0.0 0.0


Input: 0.056729656 0.008304277 0.0061774203 0.0056633265 0.005752464 0.0049595567 0.004204999 0.005422863 0.0050518033 0.0056249765 0.0037510209 0.0044734473 0.004953338 0.0031685191 0.004323158 0.004637211 0.0050372924 0.0037696776 0.004928462 0.0041604303 0.004353216 0.0031726651 0.0041044606 0.0038463771 0.0050735692 0.0033550856 0.0031623002 0.0029290924 0.0041521387 0.003438004 0.0037883343 0.0037914435 0.006174311 0.0038173557 0.0034867185 0.0030265215 0.0049118786 0.004172868 0.0038432677 0.003720963 0.004724276 0.0038940553 0.0033312466 0.0030938927 0.004368763 0.0037271818 0.0037219995 0.0035882937 0.0055182194 0.0039479523 0.0031063303 0.0029021439 0.0036784674 0.003069017 0.0026896654 0.0028627575 0.0041687223 0.0033115535 0.0035229954 0.003360268 0.0040111775 0.0032296716 0.0035064116 0.0034514782 0.0066013406 0.003945879 0.003617315 0.0032172338 0.0041604303 0.0032224162 0.0035478708 0.0030679808 0.005002052 0.0037821154 0.0037023064 0.0035914031 0.00412519 0.0031229141 0.0035603086 0.0034628795 0.0051668524 0.0036297527 0.0036567012 0.0033447207 0.0039313682 0.0033768516 0.0033613045 0.003537506 0.004651722 0.0036421905 0.0038069908 0.0035043387 0.0041148253 0.003390326 0.003688832 0.0037893706 0.005917264 0.0036338987 0.003338502 0.0029508583 0.0040049586 0.003045178 0.0032659483 0.0030317039 0.004975104 0.0031602273 0.0032037594 0.0030462146 0.0035810382 0.002839955 0.0030876738 0.0031913219 0.004504542 0.003290824 0.0032317445 0.0031436437 0.0038940553 0.0033291737 0.0032897873 0.003623534 0.004623737 0.003290824 0.003487755 0.003178884 0.004037089 0.0031871758 0.0034711713 0.0033447207 0.008646316 0.0046009347 0.0040091043 0.003519886 0.004364617 0.0034348946 0.003021339 0.003384107 0.0045408187 0.0038443042 0.002956041 0.0031871758 0.0037302913 0.002796423 0.0028430645 0.0029788434 0.0052290414 0.0032016865 0.0034981198 0.0030337768 0.0036577377 0.0031861393 0.003308444 0.0032638754 0.004539782 0.0028389185 0.0030410322 0.0027062492 0.003519886 0.0032317445 0.0029809163 0.0031498626 0.0050134533 0.003410019 0.0032732037 0.0027974595 0.0037758965 0.003005792 0.0030503606 0.003185103 0.004137628 0.0030047554 0.0031239507 0.0030120108 0.0036453 0.0028337361 0.0029145817 0.0030285944 0.00466105 0.0031104763 0.0038422311 0.0028534294 0.003563418 0.0031519355 0.0029881718 0.0031198047 0.0042526773 0.0031498626 0.003340575 0.0031768112 0.0036484094 0.0031944313 0.00333021 0.0033436844 0.006718463 0.004061965 0.0037178537 0.003334356 0.0041127526 0.0032514376 0.0033022251 0.0032224162 0.0043273037 0.003328137 0.0031104763 0.0030804183 0.003649446 0.0029871352 0.0030824915 0.002790204 0.0042381664 0.003284605 0.0030918196 0.0029985365 0.0037137077 0.0030265215 0.0029373842 0.0029467125 0.003975937 0.0031073669 0.0027186868 0.0026388778 0.0035292143 0.002943603 0.0035768922 0.0028886697 0.0049574836 0.0032327808 0.0033996543 0.0029664056 0.0038080274 0.00307109 0.0031996137 0.0029083628 0.0044423533 0.0054518846 0.0034649526 0.0031280965 0.0037914435 0.0030897467 0.003248328 0.0031933947 0.0046081897 0.0033125898 0.0034183108 0.0030399957 0.0037344373 0.0030897467 0.0033136264 0.0032400363 0.004351143 0.0030285944 0.0031913219 0.002863794 0.004010141 0.0030918196 0.0042288383 0.004519053 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923214 0.062020022 0.06248132 0.0553356 0.060599804 0.059574984 0.054935534 0.05447631 0.060457624 0.053147934 0.052111182 0.052940894 0.056401934 0.05054048 0.056665014 0.053818867 4028.0 5.7033267 22973.0 0.017281156 0.010447047 0.009315283 0.008705872 0.013407043 0.012536456 0.011839986 0.011491751 0.012623515 0.009750577 0.008488226 0.008575284 0.013885866 0.010534105 0.011796457 0.009968224 0.016715275 0.012014103 0.008705872 0.007574109 0.009837636 0.008531755 0.007835285 0.008357638 0.010403518 0.008488226 0.009576459 0.00883646 0.0115788095 0.009054107 0.0096199885 0.009141166 0.017977625 0.01088234 0.010359988 0.009054107 0.01083881 0.008792931 0.010708223 0.008270578 0.0142341005 0.0116223395 0.009707048 0.0089235185 0.011404692 0.009315283 0.011665869 0.00953293 0.014756453 0.009576459 0.010011753 0.009097637 0.012014103 0.009358812 0.00953293 0.009750577 0.013755278 0.009271754 0.010490576 0.0094894 0.011143517 0.009837636 0.010403518 0.010664693 0.017934097 0.010969399 0.009663518 0.008183519 0.013058808 0.008227049 0.009358812 0.008357638 0.015409393 0.009271754 0.008879989 0.008705872 0.011361163 0.008096461 0.009881165 0.007835285 0.013276455 0.008009402 0.008662343 0.008792931 0.01153528 0.00953293 0.008270578 0.007878814 0.01083881 0.0089235185 0.011970574 0.008618813 0.011361163 0.0089670485 0.010011753 0.008792931 6.554571 0.0 0.0 0.0 14.0 964804.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14294948 0.008661412 0.0042009465 0.0034361174 0.006263366 0.0039626393 0.0020362178 0.0019675952 0.007911555 0.0015159341 0.0017080773 0.0015109434 0.0045902235 0.0013774415 0.0012352056 0.0039039983 0.0061860094 0.0015109434 0.0011915367 0.000899579 0.0024803926 0.0019900536 0.00077106775 0.0008297088 0.0023169462 0.00075859093 0.00083469955 0.00071492203 0.0016244826 0.00060762133 0.0005976399 0.0005689432 0.0039064935 0.0005901538 0.00065628096 0.0005464849 0.0041822316 0.0013262865 0.00046788092 0.0005652001 0.0011915367 0.00065752864 0.00058765843 0.00094948633 0.0011129327 0.0023581197 0.0006812346 0.00052153127 0.0054673445 0.002694994 0.0029832087 0.010154887 0.0030892617 0.0019214309 0.0024704111 0.0016219872 0.0036082976 0.0019900536 0.00071991276 0.0014934759 0.0016793805 0.0009831737 0.0004691286 0.0005327604 0.011864212 0.0039588963 0.0049395747 0.008895976 0.0038990076 0.03281405 0.0032938817 0.002729929 0.003409916 0.0035758577 0.0022059025 0.0023730919 0.0027311768 0.0044217864 0.0011690784 0.0015433831 0.00913054 0.002160986 0.0020724004 0.009832985 0.0032302497 0.013946594 0.0032477174 0.0021123264 0.0019413938 0.006565305 0.0027636166 0.003285148 0.0015783183 0.0046738186 0.002396798 0.0036332512 0.0058104573 0.004428025 0.001661913 0.003260194 0.009280262 0.0061910003 0.0039114845 0.0015720798 0.0078079966 0.0042545972 0.0036282605 0.0013799368 0.0034897677 0.0017567369 0.0043706317 0.0040325094 0.0031067294 0.0016980958 0.004875943 0.0038865309 0.010199804 0.0055883694 0.0017542415 0.0011054466 0.0028022947 0.0012738837 0.00053525576 0.0005951445 0.0016669037 0.0025390338 0.0010717592 0.0008821115 0.005287678 0.0011678308 0.0010979605 0.009139274 0.0031479027 0.0032539559 0.0010430625 0.0006238412 0.0026850125 0.01531655 0.0022520667 0.052163105 0.001206509 0.011093144 0.00086464395 0.00068622536 0.002678774 0.000447918 0.00073363725 0.00065129023 0.0011328957 0.0009444956 0.001524668 0.00057268626 0.0011840506 0.00059389684 0.0005040637 0.0007186651 0.0009644585 0.00048035773 0.0004691286 0.00042296434 0.00090456975 0.0033575133 0.00047037628 0.002572721 0.0014360825 0.0008247181 0.0005689432 0.00045665176 0.0010555394 0.00046164248 0.0005140452 0.00049158686 0.00085466244 0.0004541564 0.0007486095 0.00066376704 0.0013362679 0.0006912161 0.0017455077 0.00054149417 0.00088585453 0.00067624386 0.0007186651 0.0015932905 0.0031778472 0.0025565012 0.004691286 0.0008309565 0.0010093751 0.00048410078 0.00086090085 0.00072116044 0.012101272 0.001159097 0.0023069647 0.010439359 0.004395585 0.0010680162 0.0035883347 0.0033974391 0.0018864959 0.0017804428 0.0009919076 0.0013138097 0.0016968481 0.0009008267 0.0010006413 0.000950734 0.002899614 0.0011603447 0.0030006762 0.0013649645 0.0018291024 0.0007748108 0.0016182441 0.0008833592 0.0033974391 0.000660024 0.0010954652 0.0018029012 0.0015096958 0.0007249035 0.00056769553 0.0008496717 0.0024604297 0.00066376704 0.00088585453 0.0009993936 0.0024541914 0.0024529437 0.00055521866 0.00069994986 0.027850768 0.006078709 0.0011029512 0.005951445 0.006590259 0.0010517963 0.00068622536 0.0007610863 0.007306428 0.0009856691 0.0018328455 0.0009270281 0.009217878 0.0021896826 0.0041323244 0.0026163901 0.010156135 0.003080528 0.003100491 0.0036444804 0.015019601 0.004031262 0.0043394393 0.06953958 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017918234 0.0 0.0 0.00052204204 0.00024695403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009574314 0.0 0.0 0.0041038133 0.0029671995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062895124 0.0 0.0 0.00037449485 0.00027696363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055580284 3.7512004e-06 1.8130802e-05 6.752161e-05 0.00015004801 7.627441e-05 6.2520007e-06 7.502401e-06 1.5630001e-05 0.0 0.0 1.8756002e-06 8.127601e-06 3.1260004e-06 5.0016006e-06 0.00036136564 0.006146342 0.00020756642 0.00021506882 0.0005551777 0.0019262414 0.00049203244 0.0024670395 0.0010734685 0.00019631282 0.00010128241 9.315481e-05 7.564921e-05 0.00067709165 0.00038324765 0.00040387924 0.002912182 0.013431173 0.00064645684 0.0009534301 0.0020981715 0.004162582 0.003638039 0.007022872 0.0032354104 0.00045764644 0.00023757602 0.00031322523 0.00033323164 0.0020994218 0.0011134814 0.001130987 0.009062275 0.020939825 0.0013135454 0.001243523 0.0020950455 0.00737611 0.0025820762 0.006745909 0.0032829256 0.0024113967 0.0009828145 0.0009846902 0.0013466809 0.0040913094 0.00267148 0.0026958627 0.009659341 0.020390274 0.0015748789 0.0012616537 0.0022863566 0.009505542 0.0040775547 0.005934399 0.0034360995 0.0058600004 0.0014254561 0.001793699 0.0023244938 0.0038949964 0.001787447 0.0040788054 0.009753746 0.07466702 0.009903794 0.0073448503 0.010170129 0.04243358 0.03087363 0.021492502 0.014075754 0.051929116 0.005337958 0.0061088298 0.009223577 0.016936045 0.0071360334 0.02768386 0.06161034 0.06079133 0.01021952 0.009199194 0.011775018 0.028369078 0.030877382 0.01782758 0.014739716 0.05026171 0.005937525 0.006540218 0.009231704 0.021286186 0.011034781 0.025305597 0.048959415 0.00023570043 4.8140406e-05 8.690281e-05 5.2516807e-05 9.127921e-05 0.00010003201 4.3764005e-05 6.6271205e-05 0.00013566841 2.9384402e-05 3.3760803e-05 2.9384402e-05 8.502721e-05 6.0644405e-05 7.3773605e-05 0.00010815961 5347.0 15.226109 81414.0 0.005748397 0.0001351119 0.00058957917 9.82632e-05 0.0035374751 0.0006018621 0.0001351119 0.0001842435 0.0004176186 0.0004299015 0.00077382266 0.000614145 0.0005281647 0.015046552 0.0011914413 0.00049131596 0.02380426 0.017417151 0.024344707 0.012430294 0.01952981 0.014604368 0.020217653 0.01152136 0.02309185 0.01473948 0.00087208586 0.0005404476 0.0010071978 0.0005650134 0.00012282899 0.00014739479 0.0014370993 0.009003365 0.0078119244 0.015316776 0.0075294175 0.0170241 0.0049868575 0.0032426855 0.0051956666 0.018571744 0.002591692 0.0042130346 0.007197779 0.0070381016 0.0046797846 0.009728056 0.013621735 0.0027636525 0.0063134106 0.02160562 0.013793697 0.0066082003 0.00622743 0.00368487 0.002935613 0.005650134 0.0016090599 0.0031567053 0.00122829 0.002947896 0.003070725 0.02342349 0.0002702238 0.032009237 0.012479426 0.027845334 0.02664161 0.055543274 0.011214287 0.010636991 0.018412067 0.036160856 0.0066696145 0.006853858 0.024578083 0.012319748 0.038642004 0.03532562 0.018645441 0.0025548432 0.039808877 0.02982288 0.042425137 0.011312551 0.010526445 0.00584666 0.013805979 0.0070503843 0.0011054609 0.0003070725 0.0005772963 0.0002702238 0.0003193554 0.0003316383 5.7776976 0.0 2.0 14.0 4.0 801486.0 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 -6.573564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.45943448 0.009287831 0.0050487304 0.0053313375 0.005125111 0.00404815 0.0026962208 0.0033225382 0.0049494365 0.0025281843 0.0017949345 0.0022455775 0.0028566192 0.0022532155 0.0013901194 0.0038037335 0.0029482753 0.0014512236 0.0011609789 0.0014130335 0.0022990438 0.0033225382 0.0010464085 0.00087073416 0.0016727261 0.0013748434 0.0010464085 0.0013213772 0.0013290154 0.0011533409 0.0009547524 0.0022379395 0.0032996242 0.0013137392 0.0009929425 0.0010922367 0.0021768354 0.0012831872 0.0011533409 0.00089364825 0.0013213772 0.0012908252 0.00081726804 0.0013519294 0.0016880021 0.0012449971 0.0013977574 0.0009471144 0.0014970517 0.0009929425 0.0012526351 0.0023448719 0.0011227888 0.0016880021 0.0010464085 0.00090892427 0.0012373591 0.0019171428 0.0009776665 0.002092817 0.0013061012 0.0014741377 0.0009700284 0.0012602732 0.00628609 0.002046989 0.0033912805 0.002031713 0.0019247808 0.005125111 0.0018560386 0.0014283096 0.0013672054 0.001191531 0.0007561639 0.0009165623 0.0013977574 0.002046989 0.0011227888 0.0009929425 0.0039946837 0.0012984632 0.0011151507 0.003207968 0.0013290154 0.0021004553 0.0029329993 0.0028948092 0.0010387705 0.0011533409 0.00081726804 0.00093947636 0.0013519294 0.0013519294 0.0011762549 0.0012449971 0.0010540467 0.0027114968 0.0010693227 0.0016650881 0.0021691974 0.0053160614 0.0013366534 0.0013748434 0.0028642572 0.0034829366 0.003620421 0.0009776665 0.0029253613 0.0016727261 0.0024670803 0.0030017414 0.0017261923 0.0006568696 0.0033683663 0.0029024472 0.006431212 0.0061409674 0.0011304268 0.0010234945 0.0012602732 0.0014894137 0.0007332498 0.0007561639 0.0010082185 0.0019400568 0.0007714399 0.001183893 0.003207968 0.0025358223 0.0017949345 0.0033225382 0.0015428799 0.0026351165 0.00084782013 0.00080963003 0.0015810699 0.0038113715 0.0011686169 0.0070498916 0.0009776665 0.0024670803 0.0011762549 0.001183893 0.0009929425 0.0011075127 0.0008783722 0.0007179738 0.00084782013 0.0006568696 0.00090128626 0.0007179738 0.0008783722 0.00084782013 0.00085545814 0.00090892427 0.0006568696 0.0007332498 0.00061867957 0.0009318383 0.0011304268 0.0015123278 0.00085545814 0.0012373591 0.00078671594 0.0006797837 0.0006950597 0.00083254406 0.0013519294 0.00081726804 0.0022608535 0.0015581559 0.006836027 0.0013519294 0.00079435395 0.0010464085 0.0012373591 0.0011686169 0.0010464085 0.0009318383 0.0009929425 0.0011151507 0.0009471144 0.0010464085 0.0014130335 0.0009623904 0.00081726804 0.0009929425 0.00085545814 0.00078671594 0.0014206716 0.001183893 0.0036891631 0.0018178485 0.0016956403 0.0017109163 0.0013595674 0.0010005805 0.0012755492 0.002054627 0.0015734319 0.0015505179 0.0011609789 0.0011457029 0.0014206716 0.0009776665 0.00090128626 0.0011609789 0.0013595674 0.0011227888 0.0011686169 0.0013977574 0.0013061012 0.0009471144 0.0015123278 0.0011304268 0.0013290154 0.0011075127 0.00086309615 0.0014588616 0.001206807 0.0011686169 0.0010922367 0.0009165623 0.0019476948 0.0010998747 0.001183893 0.0009776665 0.0015657939 0.0014206716 0.0013137392 0.0011151507 0.0059729307 0.002046989 0.001206807 0.0030552077 0.0021310074 0.0011609789 0.0011380648 0.0014512236 0.0025358223 0.0013901194 0.0012908252 0.0013672054 0.0030322936 0.0013748434 0.001962971 0.0017872965 0.0032385201 0.001611622 0.0017032783 0.0016803641 0.0030475697 0.0014894137 0.0022455775 0.08970854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.037841797 0.000437903 0.00012788319 8.9130706e-05 0.00012013269 5.4253473e-05 8.138021e-05 5.0378225e-05 9.68812e-05 8.9130706e-05 4.6502977e-05 6.200397e-05 0.00012788319 8.138021e-05 7.750496e-05 0.0002983941 0.036090184 0.00037589905 0.00027126737 7.750496e-05 0.00012400794 0.00013175844 0.00013175844 9.3005954e-05 9.68812e-05 0.00013175844 0.0001046317 7.3629715e-05 0.00011238219 0.00013175844 0.00012013269 0.0016159784 0.0823219 0.000984313 0.0004185268 0.00039915054 0.00024414062 0.0003061446 0.00017438616 0.00030226936 0.0004107763 0.0002673921 0.00027126737 0.0002092634 0.0003952753 0.00042240202 0.00056966144 0.0075412327 0.045859683 0.0007324219 0.00040690103 0.00032164558 0.0002480159 0.00023639013 0.00013175844 0.00018988716 0.00023251488 0.00022863963 0.00020538815 0.00022476439 0.00027126737 0.00048828125 0.00072467135 0.005053323 0.024526445 0.0006200397 0.00027126737 0.00032552084 0.0002983941 0.00022088914 0.00060841395 0.00038364955 0.00017826141 0.00018988716 0.00021313864 0.00011625744 0.00013563369 0.00031389509 0.0003061446 0.0030381945 0.06024073 0.0010114397 0.0007595486 0.000561911 0.00046502976 0.000437903 0.00043402778 0.00050378224 0.000468905 0.00036039806 0.0032397073 0.00093781 0.000891307 0.00097268727 0.0016159784 0.014400422 0.07164559 0.0012594556 0.0010811941 0.0009029328 0.0008796813 0.00069366937 0.0012633308 0.000875806 0.00070917036 0.00058516243 0.0035381014 0.0015190972 0.0016198537 0.0015811012 0.0025576637 0.020399306 0.032858226 0.00055416045 0.0015035962 0.0012517051 0.0012168279 0.00072854664 0.00351485 0.002077133 0.00051153277 0.00026351688 0.0012788319 0.0006355407 0.00069366937 0.00053865946 0.0008951823 0.0070335753 0.037593782 0.0012710814 0.0017477368 0.0016004774 0.00327846 0.0018949963 0.009300595 0.004952567 0.0017206101 0.00093781 0.0025770399 0.0016198537 0.0014415922 0.0011625744 0.0015578497 0.014644562 0.024014913 0.0011276972 0.001906622 0.0014764694 0.0025731646 0.0015074714 0.00625465 0.0033288382 0.0014222161 0.00081767736 0.0019453745 0.0016779824 0.0016857329 0.0017051091 0.0023251488 0.017659506 0.0097578745 0.0004456535 0.0013059586 0.0009881882 0.0014493427 0.0009029328 0.0025964163 0.0017593626 0.0017748636 0.0003875248 0.00012400794 0.00014338418 0.00046502976 0.00039140004 0.0004107763 0.000906808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.031529017 0.005572607 0.002608042 0.0043829056 0.009827629 0.00795976 0.003654359 0.0063515315 0.014191158 0.0012439546 0.0018291171 0.0014105903 0.0060996404 0.002937438 0.0070490763 0.012400794 0.018872458 0.0045224144 0.0029878162 0.0031234499 0.0065142917 0.0060531376 0.0029878162 0.004716177 0.0073552206 0.0007517981 0.0016741072 0.0014222161 0.003673735 0.0015849764 0.0039333766 0.009192089 0.006704179 0.0063670324 0.0064019095 0.006293403 0.0065375436 0.006487165 0.006281777 0.006630549 0.00679331 0.0065142917 0.00648329 0.0064135357 0.0064755394 0.006235274 0.00625465 0.0063011535 400.0 15.925 6370.0 0.024018839 0.0014128728 0.006279435 0.0007849294 0.0029827314 0.0026687598 0.0058084773 0.0010989011 0.003610675 0.0032967033 0.0010989011 0.001255887 0.008948195 0.0040816325 0.012715856 0.0042386185 0.0064364206 0.0031397175 0.010204081 0.0075353216 0.0037676608 0.0021978023 0.003610675 0.0032967033 0.0028257456 0.0028257456 0.0065934067 0.0007849294 0.0047095763 0.0053375196 0.0037676608 0.0017268446 0.0020408162 0.020565148 0.0031397175 0.014285714 0.00989011 0.011145997 0.011302982 0.008791209 0.0042386185 0.009733124 0.0006279435 0.0026687598 0.008006279 0.0065934067 0.0042386185 0.0043956046 0.010361068 0.0017268446 0.007378336 0.017268445 0.0076923077 0.0028257456 0.005965463 0.0069073783 0.001255887 0.0010989011 0.0017268446 0.0007849294 0.005180534 0.0009419152 0.00031397174 0.0018838304 0.0014128728 0.039403453 0.008948195 0.020565148 0.027629513 0.09262166 0.008791209 0.0124018835 0.0094191525 0.053532183 0.0034536892 0.005965463 0.042543173 0.01711146 0.03720565 0.045839876 0.018524332 0.0007849294 0.051177394 0.037519623 0.059497647 0.01868132 0.006279435 0.0065934067 0.007849294 0.011616955 0.0018838304 0.0017268446 0.0007849294 0.0010989011 0.0007849294 0.00031397174 5.6118402 1.0 3.0 0.0 2.0 130924.0 282624.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1517284600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 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 -25600.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3554616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0493803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4959064 0.0 3.046221 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 4948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25231.0 0.0 34064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 0.0 160.0 34100.0 34064.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.043189123 0.0035605642 0.0032710524 0.003672912 0.0032191994 0.002959935 0.0031068516 0.003007467 0.0031846308 0.0030420355 0.0029728983 0.002713634 0.002959935 0.0032105572 0.0031241358 0.0036901964 0.0029858614 0.0026747442 0.002717955 0.0028303028 0.0028778347 0.0036513067 0.003024751 0.002713634 0.0031803097 0.003085246 0.0030117878 0.0044507054 0.0032235205 0.003024751 0.0030463564 0.0032667313 0.0034222899 0.0029945036 0.0032191994 0.0032019152 0.0032494469 0.0029124033 0.003426611 0.0032019152 0.0032667313 0.0028821556 0.0031154936 0.0029988247 0.0031803097 0.003085246 0.0030938883 0.002964256 0.002964256 0.0031284569 0.0032148783 0.0028648714 0.0029901825 0.0027611656 0.0029253664 0.0028043764 0.0029685772 0.0027957342 0.004480953 0.0028130186 0.0029772194 0.002545112 0.0028821556 0.00302043 0.0036167381 0.002895119 0.0030506775 0.0029426508 0.0031803097 0.0029728983 0.0029340086 0.0029253664 0.002726597 0.002666102 0.0032019152 0.0028864767 0.0029080822 0.002834624 0.0030463564 0.002791413 0.0029858614 0.0027395603 0.0029080822 0.0026833864 0.0029383297 0.002601286 0.0026185703 0.0028259817 0.0029426508 0.0027352392 0.0026790653 0.0028821556 0.0028086975 0.002851908 0.0030593197 0.00277845 0.0029340086 0.0029512928 0.0028562292 0.0028303028 0.00302043 0.0032235205 0.0028691925 0.0026833864 0.002903761 0.0028259817 0.0028735136 0.002834624 0.0030333933 0.0028475872 0.0029296875 0.0028648714 0.0029728983 0.0027309181 0.00302043 0.0029512928 0.0030377144 0.0028907978 0.0028562292 0.0028043764 0.0031500622 0.0028259817 0.0030766039 0.002774129 0.0027957342 0.0027309181 0.0027352392 0.0028648714 0.0031803097 0.0030161089 0.0029988247 0.0028475872 0.0030463564 0.0029124033 0.0029296875 0.002661781 0.0029383297 0.0030593197 0.0029685772 0.0036340223 0.0029296875 0.0028043764 0.002838945 0.0028475872 0.002959935 0.0027827711 0.0027352392 0.0028562292 0.0026704231 0.002717955 0.0028432661 0.002774129 0.0044852737 0.003067962 0.0026833864 0.0028907978 0.0027049917 0.0027957342 0.002895119 0.0028303028 0.002787092 0.0030161089 0.0030333933 0.0028821556 0.002666102 0.002666102 0.0030463564 0.002959935 0.002834624 0.002726597 0.0028043764 0.0029167242 0.0028691925 0.002722276 0.0027957342 0.0025580751 0.0031284569 0.0028000553 0.0029901825 0.002791413 0.0029988247 0.002605607 0.003314263 0.0029080822 0.17881465 0.0026185703 0.002838945 0.0031500622 0.0027525234 0.00277845 0.0029167242 0.0029080822 0.0031716677 0.0030420355 0.0032451258 0.0028907978 0.002955614 0.0029340086 0.003487106 0.0028043764 0.0028907978 0.0029080822 0.00302043 0.002838945 0.0029512928 0.002834624 0.0030506775 0.0029167242 0.002834624 0.0028778347 0.0028475872 0.0028043764 0.0027525234 0.0026747442 0.0028605503 0.0028778347 0.0027049917 0.0027698078 0.003067962 0.005643321 0.0028735136 0.002834624 0.0027352392 0.0028259817 0.0036469856 0.0030290722 0.002955614 0.0028691925 0.00302043 0.0028173395 0.0030463564 0.002903761 0.0029728983 0.0029210453 0.002722276 0.002774129 0.0029512928 0.002959935 0.0032451258 0.0033617949 0.0036513067 0.0033834002 0.0037420492 0.0035692062 0.0035087112 0.003426611 0.0035173534 0.0034957482 0.0032710524 0.0034438951 0.003080925 0.0036037748 0.0035389587 0.0037895811 0.0036426645 0.016981818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053190105 7.5954864e-05 0.0002061632 3.689236e-05 2.6041667e-05 3.689236e-05 3.0381945e-05 9.548611e-05 0.0001063368 0.00012369792 8.029514e-05 9.3315975e-05 0.00013888889 8.2465274e-05 0.0004296875 0.006451823 0.009340278 0.00025824652 0.00048828125 0.00021918403 0.00015190973 0.00018012153 4.7743055e-05 0.00023871528 0.00012369792 0.00013454861 0.00013237847 0.00013237847 0.00031467015 0.00014322916 0.0011675347 0.0091493055 0.002437066 1.953125e-05 0.00012586806 0.00014756944 6.7274304e-05 4.340278e-06 0.0 4.7743055e-05 4.1232637e-05 1.953125e-05 1.3020834e-05 1.7361112e-05 0.00029730902 6.9444446e-05 0.00043402778 0.000703125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006920573 0.0007248264 0.00044921876 0.00036892362 0.00083333335 0.00045355904 0.000625 0.00042751737 0.0005360243 0.00057074655 0.00022135417 0.0002126736 0.00025824652 0.00021050347 0.0002452257 0.00027560763 0.009704861 0.0023111978 0.0016232639 0.001592882 0.001126302 0.0004926215 0.00059461803 0.0009006076 0.00077256944 0.001688368 0.00046006945 0.00052083336 0.0007769097 0.0019509549 0.0016514757 0.004943576 0.0047634547 0.000985243 0.0016536459 0.00059895834 0.00033203125 0.00017578126 0.0002669271 0.0003624132 0.0004361979 0.00057074655 0.0006640625 0.0011284723 0.00078559027 0.00047743056 0.00079427083 0.003782552 0.0035915799 0.0012261284 0.0006076389 0.0011631944 0.0008094618 0.0006445313 0.00019314236 0.00052300346 0.000922309 0.00016059028 0.0001953125 0.00024739583 0.00047092015 0.0016644965 0.00042751737 0.00048611112 0.04142578 0.04014974 0.04090712 0.03999783 0.040334202 0.039144967 0.040813804 0.039587673 0.040538196 0.03967448 0.039737415 0.20211372 0.04112413 0.039709203 0.03933811 0.03984809 0.004481337 0.0042122398 0.0041948785 0.00406033 0.004049479 0.0040668403 0.0037673612 0.0040429686 0.0043381075 0.0039301217 0.0039800345 0.018815104 0.003971354 0.0038758682 0.0039127604 0.004301215 126.0 14.031746 1768.0 0.033936653 0.0028280544 0.020361992 0.0005656109 0.0039592762 0.0005656109 0.0022624435 0.008484163 0.0062217196 0.0022624435 0.0005656109 0.0067873304 0.0028280544 0.011877828 0.0067873304 0.0039592762 0.0033936652 0.004524887 0.008484163 0.010746607 0.0005656109 0.0011312218 0.0005656109 0.0005656109 0.014705882 0.0005656109 0.18665159 0.0033936652 0.009615385 0.0062217196 0.012443439 0.016968327 0.061085973 0.010746607 0.0011312218 0.0033936652 0.0028280544 0.0039592762 0.005090498 0.009615385 0.0056561087 0.010180996 0.048642535 0.0022624435 0.0039592762 0.0033936652 0.011877828 0.0005656109 0.004524887 0.0033936652 0.0033936652 0.0039592762 0.015271493 0.0022624435 0.005090498 0.0028280544 0.0028280544 0.0011312218 0.012443439 0.028280543 0.0011312218 0.0011312218 0.014140272 0.0033936652 0.0011312218 0.01866516 0.0028280544 0.014705882 0.010180996 0.042420816 0.0039592762 0.0022624435 0.0033936652 0.014705882 0.0016968326 0.0011312218 0.017533937 0.010180996 0.01300905 0.016968327 0.015837105 0.0016968326 0.022058824 0.0260181 0.017533937 0.010180996 0.0056561087 0.0005656109 0.0033936652 0.0033936652 0.020927602 0.011312217 0.0005656109 0.0 0.0011312218 0.0005656109 5.3973446 0.0 0.0 0.0 1.0 231424.0 249856.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1539120100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -205824.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8882556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.735646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.108169 0.0 5.346261 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 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -205532.0 0.0 23336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 213068.0 23336.0 221184.0 0.0 0.0 0.0 0.0 48.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 212992.0 0.0 0.0 0.0 0.0


Input: 0.19823788 0.014684288 0.007178985 0.006200033 0.013542176 0.0031000164 0.003426334 0.004405286 0.012889542 0.002773699 0.0022842225 0.0021210639 0.006689509 0.0031000164 0.003426334 0.00522108 0.010115842 0.001957905 0.0014684288 0.0014684288 0.0031000164 0.008647414 0.00081579376 0.0016315875 0.0035894925 0.0009789525 0.0011421113 0.0011421113 0.0031000164 0.000652635 0.00081579376 0.0017947463 0.0035894925 0.00048947625 0.0003263175 0.0011421113 0.0084842555 0.00081579376 0.0042421278 0.00130527 0.0017947463 0.0003263175 0.0003263175 0.0021210639 0.00081579376 0.00016315875 0.00130527 0.00016315875 0.0017947463 0.0 0.00081579376 0.008321096 0.0014684288 0.0003263175 0.00048947625 0.000652635 0.0014684288 0.00261054 0.00016315875 0.004731604 0.00081579376 0.0009789525 0.0003263175 0.000652635 0.005710556 0.018436939 0.0009789525 0.00048947625 0.0035894925 0.009626366 0.0011421113 0.000652635 0.00130527 0.000652635 0.00048947625 0.000652635 0.00391581 0.012236906 0.0016315875 0.0031000164 0.016479034 0.002773699 0.001957905 0.00783162 0.0009789525 0.006363191 0.008321096 0.00652635 0.0014684288 0.00522108 0.000652635 0.0024473814 0.0016315875 0.008157938 0.005547398 0.0035894925 0.005384239 0.006200033 0.0003263175 0.000652635 0.0017947463 0.00130527 0.0009789525 0.00048947625 0.008321096 0.00081579376 0.006200033 0.0 0.0016315875 0.0009789525 0.00130527 0.00081579376 0.0024473814 0.0014684288 0.0022842225 0.0017947463 0.01174743 0.011094796 0.00048947625 0.00261054 0.0031000164 0.0017947463 0.00016315875 0.00081579376 0.0022842225 0.0024473814 0.0017947463 0.0021210639 0.003263175 0.00261054 0.00048947625 0.015989557 0.0029368575 0.01435797 0.00016315875 0.0 0.00048947625 0.014847446 0.0014684288 0.035731766 0.0014684288 0.027736988 0.00016315875 0.0 0.0009789525 0.0003263175 0.0 0.0003263175 0.0014684288 0.000652635 0.0003263175 0.00016315875 0.00081579376 0.00016315875 0.0 0.0 0.00048947625 0.00048947625 0.0 0.00081579376 0.00048947625 0.00130527 0.00048947625 0.000652635 0.0003263175 0.0003263175 0.0 0.0 0.0009789525 0.0 0.0003263175 0.00048947625 0.0 0.0003263175 0.00016315875 0.0003263175 0.00016315875 0.00016315875 0.0 0.0009789525 0.0009789525 0.00081579376 0.00016315875 0.0011421113 0.0042421278 0.0009789525 0.000652635 0.0003263175 0.00081579376 0.0011421113 0.00048947625 0.000652635 0.01044216 0.0022842225 0.0031000164 0.006036874 0.003263175 0.000652635 0.0029368575 0.003263175 0.0024473814 0.00130527 0.0003263175 0.0009789525 0.00261054 0.0009789525 0.001957905 0.0016315875 0.0017947463 0.00016315875 0.0014684288 0.0003263175 0.0003263175 0.0 0.0009789525 0.0003263175 0.0014684288 0.0009789525 0.0003263175 0.003426334 0.0011421113 0.0003263175 0.00048947625 0.00016315875 0.0011421113 0.0003263175 0.006036874 0.00016315875 0.0021210639 0.0031000164 0.00048947625 0.00081579376 0.030673845 0.0016315875 0.00016315875 0.005057921 0.0097895255 0.0003263175 0.00081579376 0.000652635 0.00783162 0.0016315875 0.000652635 0.00016315875 0.006036874 0.00016315875 0.003426334 0.0014684288 0.0084842555 0.003263175 0.00081579376 0.0014684288 0.008810572 0.004078969 0.003426334 0.063468754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11743164 0.008178711 0.008422852 0.0036621094 0.014526367 0.014038086 0.012207031 0.01171875 0.014526367 0.0017089844 0.0018310547 0.0032958984 0.010375977 0.0024414062 0.010864258 0.014770508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10119629 0.026855469 0.014282227 0.015991211 0.037963867 0.04663086 0.0146484375 0.021972656 0.072753906 0.0021972656 0.0030517578 0.0076904297 0.021850586 0.0068359375 0.037963867 0.068115234 0.052246094 0.013793945 0.0078125 0.0076904297 0.020263672 0.020874023 0.009765625 0.01550293 0.032592773 0.0015869141 0.0018310547 0.0037841797 0.016113281 0.0026855469 0.017944336 0.025512695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 7.75 124.0 0.05645161 0.008064516 0.0 0.008064516 0.024193548 0.0 0.016129032 0.0 0.0 0.0 0.0 0.0 0.016129032 0.0 0.05645161 0.0 0.0 0.0 0.008064516 0.008064516 0.0 0.0 0.0 0.0 0.0 0.008064516 0.0 0.008064516 0.0 0.0 0.0 0.0 0.032258064 0.0 0.0 0.008064516 0.016129032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008064516 0.0 0.0 0.008064516 0.016129032 0.016129032 0.016129032 0.088709675 0.008064516 0.0 0.024193548 0.008064516 0.0 0.008064516 0.0 0.0 0.016129032 0.0 0.0 0.0 0.008064516 0.048387095 0.008064516 0.032258064 0.032258064 0.032258064 0.008064516 0.016129032 0.016129032 0.032258064 0.016129032 0.0 0.008064516 0.016129032 0.032258064 0.032258064 0.008064516 0.0 0.05645161 0.024193548 0.05645161 0.016129032 0.0 0.0 0.008064516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.128115 0.0 0.0 0.0 1.0 6129.0 1130496.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1525819500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4091916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.00776793 0.004218104 0.004027853 0.003962304 0.003987484 0.0038793688 0.003872574 0.0038821665 0.004025854 0.003841798 0.0038539886 0.0038881619 0.0040138634 0.0038539886 0.003821414 0.0040550316 0.003998276 0.0038134202 0.0038439962 0.0038551874 0.0038833655 0.0038719745 0.003853389 0.0038427971 0.0038463944 0.003771653 0.003777648 0.0038064257 0.0038312064 0.003818616 0.0038401992 0.0038825662 0.0040588286 0.0037838432 0.0038246114 0.003850991 0.0038887614 0.0038403992 0.0038415983 0.0038765708 0.003791837 0.003781445 0.0037648582 0.0038649798 0.0038435967 0.003808424 0.0038945568 0.0038296075 0.0038449955 0.0038310064 0.003806026 0.003950313 0.0038523898 0.0038180165 0.0038695764 0.003840599 0.0037986317 0.0038733734 0.0038200151 0.004007069 0.0038106223 0.0038529893 0.0038354031 0.0040292516 0.0039261323 0.0040768143 0.003812221 0.0038643803 0.0038603835 0.0040522334 0.003930928 0.0037872407 0.0038465944 0.003849392 0.0037498698 0.003798232 0.0038415983 0.0039231344 0.0037770486 0.003871175 0.003969698 0.0038649798 0.0038166177 0.0039049487 0.0038304068 0.003990282 0.0038851642 0.003901951 0.0038729736 0.003921536 0.003830207 0.0038939572 0.00386478 0.00391634 0.0038296075 0.0039421194 0.0038535888 0.0038513904 0.003824012 0.0038999526 0.0038783695 0.0039041494 0.003935125 0.0038465944 0.0039051485 0.0039027503 0.0039858855 0.0038196153 0.0038601838 0.0039431187 0.0039231344 0.0039806897 0.0038851642 0.0038130204 0.0038951563 0.0039181383 0.004073417 0.004110188 0.0038995529 0.0039545097 0.0038308066 0.0038360024 0.0038036278 0.0038613826 0.0038587847 0.0039359243 0.003931528 0.0042207018 0.004079412 0.0038727738 0.0037654578 0.0041709407 0.0038435967 0.0039663007 0.0038244117 0.0038146193 0.0039053482 0.0040806113 0.0038384006 0.0045066783 0.0038372015 0.0040330486 0.0038058262 0.0038230128 0.0038753718 0.0038382008 0.0037870407 0.0037990315 0.0037652578 0.003781445 0.0038270096 0.0038274094 0.0037972329 0.003871375 0.003847194 0.0038733734 0.0038523898 0.0038683773 0.0038248112 0.003940521 0.0037998308 0.0038010299 0.0038250112 0.0038182165 0.0037746504 0.0037992313 0.0037742509 0.0038581851 0.0037620603 0.003785442 0.003899353 0.0038120213 0.0037790472 0.0038463944 0.0038048269 0.0038773702 0.0038477934 0.0038513904 0.003816218 0.0038374015 0.003853389 0.0038082243 0.003923934 0.00386478 0.003936724 0.0038795685 0.0038336045 0.003958307 0.003822613 0.0038030283 0.003875172 0.003990082 0.0040050703 0.0038539886 0.0038054264 0.003922335 0.003904549 0.003822613 0.003878969 0.0039413203 0.003875172 0.0038364022 0.0038266098 0.0038811672 0.0038831658 0.0038463944 0.0038795685 0.0038695764 0.0039123427 0.003824012 0.0038124209 0.0038376013 0.003806026 0.0038497918 0.0038613826 0.0039343257 0.0038537886 0.003848193 0.0038294077 0.0039421194 0.0039545097 0.0039037496 0.0038489923 0.0039575077 0.0039123427 0.003850791 0.0038308066 0.0038967552 0.0038901602 0.0038376013 0.0038184163 0.0038745725 0.004143762 0.003818816 0.0038220135 0.003990082 0.0039549097 0.0038487925 0.003923734 0.003958507 0.0038633812 0.0038851642 0.0038322054 0.0039515123 0.0039413203 0.003907147 0.003973495 0.003984886 0.00400567 0.003977492 0.003915141 0.0040344475 0.0041011954 0.004096399 0.004258872 0.0052095293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000180819 6.497089e-06 4.4979847e-06 2.8987013e-06 4.1981193e-06 7.996418e-07 3.998209e-07 7.996418e-07 6.9968655e-07 1.9991045e-07 3.998209e-07 4.997761e-07 1.9991045e-07 9.995522e-08 2.9986566e-07 1.3993731e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001609279 7.896462e-06 7.296731e-06 2.9986566e-06 7.1967756e-06 2.9986566e-06 3.3984775e-06 3.2985222e-06 1.3993731e-06 2.9986566e-07 1.7991939e-06 3.998209e-07 4.997761e-07 1.0995075e-06 7.996418e-07 2.3989253e-06 0.00015253166 3.7982984e-06 3.698343e-06 8.9959696e-07 1.6492611e-05 4.7978506e-06 3.7982984e-06 5.7974025e-06 1.2994178e-06 1.4993283e-06 1.4993283e-06 5.997313e-07 4.997761e-07 1.5992836e-06 1.0995075e-06 4.7978506e-06 0.0002758764 3.698343e-06 1.37938205e-05 6.3971343e-06 2.4788895e-05 1.0495298e-05 3.448455e-05 2.3089657e-05 3.3984775e-06 2.199015e-06 2.3989253e-06 1.0995075e-06 8.9959696e-07 1.3993731e-06 1.1994626e-06 4.1981193e-06 0.00013783824 6.497089e-06 2.5988356e-06 2.8987013e-06 4.997761e-06 1.359391e-05 4.2980746e-06 4.6978953e-06 5.1976713e-06 8.9959696e-07 9.995522e-07 1.0995075e-06 4.997761e-06 1.5992836e-06 2.3989253e-06 1.0095478e-05 0.00028657162 1.27942685e-05 0.000105752624 2.1990149e-05 3.5084282e-05 2.338952e-05 0.00021790239 9.825598e-05 6.8969102e-06 6.9968655e-07 3.998209e-07 3.998209e-07 1.4993283e-06 0.0 1.9991045e-07 6.9968655e-06 0.00043110686 1.8691626e-05 5.457555e-05 2.1190506e-05 7.776516e-05 6.127255e-05 0.00025938379 0.00012854241 1.8991492e-05 1.03953425e-05 1.0895119e-05 1.169476e-05 1.1494851e-05 1.6792477e-05 1.0995074e-05 8.446216e-05 0.00010415334 4.59794e-06 4.1981193e-06 2.7987462e-06 1.2194537e-05 8.6961045e-06 8.995969e-06 4.6978953e-06 1.5992835e-05 4.2980746e-06 2.3989253e-06 2.5988356e-06 1.2194537e-05 1.5992836e-06 4.897806e-06 1.03953425e-05 0.00027117852 2.5688492e-05 1.859167e-05 2.2989701e-05 3.698343e-05 3.8582715e-05 2.1290462e-05 4.038191e-05 0.00010005518 1.0495298e-05 1.359391e-05 2.069073e-05 3.908249e-05 1.4693417e-05 3.3085176e-05 0.00011145007 0.0020438842 0.00030546315 0.00021960161 0.00031465903 0.0006141249 0.00048538254 0.00023429503 0.00041491413 0.0012600356 0.00011524837 7.766521e-05 0.00018981496 0.00047118892 0.0001330404 0.0004290078 0.00088000577 0.001140489 0.00023519463 0.00012464415 0.00028717134 0.00043770391 0.00047128886 0.00017262266 0.0003741324 0.00076705636 6.257197e-05 8.866028e-05 9.9255536e-05 0.00039112478 0.000114848546 0.00036423682 0.00080553914 0.061700556 0.06091231 0.06098798 0.0611579 0.060698107 0.06111752 0.061354112 0.061733242 0.060992677 0.061172094 0.06082075 0.061578114 0.061102927 0.06169416 0.061530236 0.06302357 23000.0 5.805174 133519.0 0.014469851 0.010013556 0.0101259 0.010021046 0.010358077 0.010133389 0.010155858 0.00993117 0.009032423 0.009751421 0.010155858 0.009991087 0.010155858 0.009878743 0.009803848 0.009743932 0.009998577 0.010013556 0.009878743 0.010223264 0.009916192 0.009803848 0.010313139 0.0096465675 0.010080962 0.010440461 0.0102831805 0.00994615 0.009848786 0.010537826 0.010133389 0.010567784 0.010095942 0.010185816 0.010133389 0.010223264 0.010440461 0.009976109 0.01029816 0.009743932 0.010373056 0.0099536395 0.009968619 0.009893723 0.010432972 0.0097664 0.009863765 0.010313139 0.010605232 0.009796359 0.010545315 0.010762514 0.010103431 0.012357792 0.010275691 0.010522847 0.010388034 0.009369453 0.009871255 0.00993866 0.010238243 0.010223264 0.010065983 0.009451838 0.009923682 0.0118859485 0.010575274 0.011039628 0.011077075 0.01378081 0.010335607 0.010702597 0.010148369 0.012709802 0.010013556 0.010200796 0.011234356 0.010770002 0.012185532 0.011938375 0.01047042 0.010380545 0.012020761 0.011421596 0.013069301 0.010275691 0.010051004 0.011017159 0.010777492 0.010215774 0.009721463 0.009983598 0.009878743 0.009788869 0.010036025 0.010837409 6.580217 1.0 0.0 0.0 82.0 5003907.0 78565380.0 1.0 0.0 100.0 0.0 1.0 0.0 0.0 0.0 1347273200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 73216.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73216.0 0.0 78420990.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.409814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.738918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6120133 0.0 7.9997306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72964.0 0.0 78420500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 85364.0 78420500.0 114688.0 0.0 0.0 6040.0 78539260.0 3068.0 78536700.0 28.0 78320.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 83904.0 0.0 0.0 436.0 77824.0 0.0 0.0 0.0 0.0