Input: 0.66753846 0.0090788845 0.003968254 0.006012506 0.006463444 0.0024050025 0.006764069 0.0019540645 0.0021043771 0.0025553151 0.0027657528 0.0017736893 0.0012926888 0.0027657528 0.0011123136 0.000962001 0.0044492544 0.0013528139 0.00066137564 0.0038780663 0.000962001 0.000962001 0.0008417508 0.0007816258 0.00066137564 0.00054112554 0.00063131313 0.00075156323 0.0011724387 0.0015331891 0.0013227513 0.00066137564 0.0050805677 0.0015632516 0.0012025012 0.00066137564 0.0012325638 0.0016233766 0.0008718134 0.00066137564 0.00051106303 0.00057118805 0.0013528139 0.0014129389 0.0006914382 0.0016534391 0.0021945648 0.0022847522 0.0131072635 0.005741943 0.003006253 0.0021344395 0.0013528139 0.0007816258 0.0011123136 0.0012325638 0.0010822511 0.0012926888 0.0013828764 0.00045093795 0.0006012506 0.00063131313 0.0004208754 0.0009018759 0.0020743145 0.0018638768 0.00054112554 0.003517316 0.0012325638 0.001473064 0.0008417508 0.00051106303 0.0019540645 0.000962001 0.00054112554 0.0009920635 0.00075156323 0.0021945648 0.0011724387 0.0009018759 0.0019540645 0.00057118805 0.0014430014 0.0021344395 0.0012926888 0.0041786917 0.0014129389 0.001473064 0.0012626263 0.0012626263 0.0011423761 0.0006914382 0.00066137564 0.0006012506 0.0006914382 0.0012626263 0.0009018759 0.0033068783 0.0006914382 0.004599567 0.0033068783 0.0044492544 0.0021945648 0.0011724387 0.0025853775 0.005050505 0.0010221261 0.0008417508 0.0022847522 0.003006253 0.0033670033 0.007665945 0.0026154402 0.0007816258 0.005561568 0.0030663782 0.0069444445 0.0021043771 0.00066137564 0.0015031265 0.0009018759 0.0009920635 0.00051106303 0.0004208754 0.0008718134 0.0006012506 0.00063131313 0.0006012506 0.0015933141 0.0016233766 0.0027657528 0.0011423761 0.0006012506 0.0011724387 0.0027056278 0.0004208754 0.0006012506 0.0009018759 0.0008718134 0.0020141895 0.0006012506 0.00027056277 0.00054112554 0.0003908129 0.00063131313 0.0004810005 0.0004810005 0.0004208754 0.0003006253 0.00036075036 0.0004208754 0.00063131313 0.0008116883 0.0004810005 0.0006012506 0.0006914382 0.00051106303 0.00033068782 0.00045093795 0.0002104377 0.0011423761 0.0011123136 0.00057118805 0.0006914382 0.00054112554 0.0003908129 0.00033068782 0.00051106303 0.00051106303 0.00057118805 0.00036075036 0.0004810005 0.00054112554 0.0003006253 0.0004810005 0.00051106303 0.00063131313 0.00051106303 0.00036075036 0.00063131313 0.00054112554 0.0003908129 0.0004208754 0.00045093795 0.0004810005 0.0003908129 0.0004208754 0.00051106303 0.0004208754 0.00075156323 0.00051106303 0.00054112554 0.0013528139 0.0003908129 0.0009319384 0.00054112554 0.00063131313 0.0006012506 0.0007215007 0.00057118805 0.00054112554 0.00051106303 0.00051106303 0.00045093795 0.0009319384 0.0006012506 0.00045093795 0.0006012506 0.00063131313 0.00066137564 0.00033068782 0.0004208754 0.0003006253 0.00051106303 0.0004208754 0.0003006253 0.0004810005 0.00033068782 0.00075156323 0.00033068782 0.00027056277 0.0004208754 0.00045093795 0.0006914382 0.0004810005 0.00057118805 0.0004208754 0.0003908129 0.00051106303 0.00051106303 0.00033068782 0.0004208754 0.0011423761 0.00045093795 0.00057118805 0.00075156323 0.0006914382 0.0006914382 0.0003908129 0.0004208754 0.0007816258 0.0004810005 0.00036075036 0.00045093795 0.00057118805 0.00057118805 0.00054112554 0.0012926888 0.00036075036 0.0008116883 0.0002104377 0.0004208754 0.0008116883 0.00057118805 0.0006914382 0.0033670033 0.4186933 6.300403e-05 6.300403e-05 0.0 9.4506046e-05 6.300403e-05 0.00031502015 6.300403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09039503 0.00026776714 0.00033077117 0.0024414062 0.00015751008 0.0005670363 0.0002205141 0.00048828125 0.0003937752 0.00018901209 7.875504e-05 9.4506046e-05 0.0004410282 9.4506046e-05 0.00015751008 0.00045677923 0.028099798 0.00045677923 0.00045677923 0.00034652217 0.00031502015 0.00017326108 0.0010238155 0.0005197833 0.0004410282 4.7253023e-05 1.5751008e-05 9.4506046e-05 4.7253023e-05 9.4506046e-05 4.7253023e-05 7.875504e-05 0.052608367 0.00015751008 0.00091355847 0.0010395666 0.0016066028 0.0005670363 0.0047253026 0.001795615 0.00015751008 0.00025201612 0.0 9.4506046e-05 0.0 3.1502015e-05 3.1502015e-05 0.0005355343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044606853 0.0012285786 0.0016696069 0.0010710686 0.0054183467 0.002299647 0.004504788 0.0014805947 0.0006300403 0.00050403224 0.00018901209 9.4506046e-05 0.00012600806 6.300403e-05 0.00018901209 0.0004410282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.040354084 0.0024571572 0.001968876 0.0029611895 0.0011025706 0.002220892 0.0027249244 0.002315398 0.002299647 0.0004095262 0.0008820564 0.0004410282 0.0013545867 0.00031502015 0.0010710686 0.0016381048 0.01842868 0.0016066028 0.0011970766 0.00091355847 0.0005355343 0.0015751008 0.00067729334 0.0012915827 0.0017168599 3.1502015e-05 0.00033077117 3.1502015e-05 0.0014333418 0.00015751008 0.0008820564 0.0014490928 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.037424397 0.011309224 0.013388357 0.021437122 0.009765625 0.011450983 0.025815902 0.01669607 0.009797127 0.0047095516 0.005796371 0.005197833 0.0048828125 0.0048828125 0.0048985635 0.00609564 0.005292339 0.0020791332 0.002315398 0.0029769405 0.0017641129 0.002236643 0.003827495 0.0026776714 0.0014333418 0.0010553176 0.0011813256 0.0010868196 0.0012443296 0.00094506046 0.0009765625 0.0011655746 155.0 19.31613 2994.0 0.028056113 0.0006680027 0.001002004 0.0016700067 0.0023380094 0.0066800267 0.0026720108 0.0016700067 0.0006680027 0.0013360054 0.0006680027 0.0006680027 0.0006680027 0.011022044 0.015698062 0.019372078 0.05444222 0.04008016 0.0250501 0.010354041 0.008016032 0.0053440216 0.009018037 0.00501002 0.006012024 0.006012024 0.0053440216 0.0006680027 0.002004008 0.0006680027 0.0013360054 0.00501002 0.013694054 0.014696059 0.0006680027 0.02972612 0.00501002 0.010354041 0.002004008 0.0006680027 0.003006012 0.0053440216 0.0013360054 0.0063460255 0.0023380094 0.016700067 0.0033400133 0.0033400133 0.011022044 0.0036740147 0.010354041 0.011690047 0.0066800267 0.0006680027 0.002004008 0.008684034 0.004342017 0.0006680027 0.008350033 0.00033400135 0.0006680027 0.00033400135 0.00033400135 0.004342017 0.0013360054 0.022044089 0.0016700067 0.037742153 0.026386106 0.02972612 0.016032064 0.0053440216 0.018036073 0.044088177 0.003006012 0.004008016 0.012692051 0.023714095 0.028390113 0.0741483 0.023046093 0.00033400135 0.046092186 0.027388109 0.052772213 0.0070140283 0.0023380094 0.010354041 0.0016700067 0.0036740147 0.0006680027 0.0006680027 0.0016700067 0.001002004 0.0006680027 0.00033400135 5.595687 2.0 10.0 0.0 1.0 33264.0 24576.0 0.0 10.0 9.0 1.0 1.0 1.0 0.0 0.0 1142824200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -4.3817754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1371484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2551504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8287973 0.0 3.3931763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 951.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1170.0 0.0 984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 471.0 8672.0 80.0 8348.0 984.0 16384.0 0.0 0.0 8688.0 24576.0 168.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.117709056 0.009639409 0.0034162726 0.0028319573 0.0034485355 0.002365939 0.002398202 0.002294244 0.002394617 0.0022870745 0.0023910324 0.02206059 0.0021078365 0.0016310641 0.0015808775 0.0019035055 0.0020612348 0.0015199366 0.0016525727 0.001322775 0.0015163518 0.0015450299 0.001853319 0.0016238946 0.0016203098 0.021580232 0.0015020128 0.021562308 0.0015701232 0.0015665385 0.0012976817 0.0013012665 0.0037245618 0.0012403256 0.0015701232 0.02139024 0.0016740811 0.0015020128 0.0014589957 0.0010790116 0.0025523463 0.0035524934 0.0024232953 0.0014052244 0.0014518263 0.0015486147 0.0018031324 0.0013120208 0.0015271062 0.0013442836 0.0016382335 0.0014374872 0.0012152323 0.0014088092 0.00125108 0.0013586226 0.0015593689 0.0013120208 0.02174513 0.0014769195 0.0014733347 0.0015235214 0.0012869275 0.0011865543 0.0019070903 0.0038894603 0.0020253872 0.00250216 0.005499016 0.02211436 0.0017314373 0.0033911793 0.0018103019 0.0034807983 0.0013156055 0.0012367408 0.0014625805 0.02219681 0.003950401 0.022200394 0.005993712 0.0028032793 0.0018927513 0.002394617 0.0019393531 0.0019536922 0.001706344 0.0019859548 0.0031545854 0.0014625805 0.0015737079 0.0012546646 0.0014231482 0.0014374872 0.0014446568 0.0034915525 0.0012295714 0.0043626484 0.0017135135 0.0032728824 0.0046386747 0.02720113 0.002322922 0.0022404727 0.0028606355 0.006793113 0.0019859548 0.0015916318 0.004262275 0.0025057446 0.0050939387 0.005162049 0.0049039465 0.0033911793 0.004516793 0.010195047 0.02589628 0.0028785593 0.0016203098 0.002469897 0.0018748274 0.0025523463 0.0013765463 0.0011758 0.003337408 0.022085683 0.0015701232 0.0013837159 0.0019465226 0.0016059708 0.001749361 0.003129492 0.0014912586 0.0015808775 0.001426733 0.021494199 0.0013191903 0.0013765463 0.0013622073 0.0018640732 0.0014805043 0.001867658 0.0013873007 0.0012725885 0.0017314373 0.0017887934 0.0013335292 0.0013442836 0.0016704964 0.0012331561 0.0012869275 0.0014052244 0.001498428 0.0014661653 0.0013837159 0.0014805043 0.0017099287 0.0013299446 0.0015163518 0.001337114 0.0016238946 0.021555139 0.0014589957 0.0015091824 0.0015163518 0.0014805043 0.0016418183 0.0014733347 0.0014840891 0.0014876738 0.0012331561 0.0012188171 0.001706344 0.0013299446 0.0012582494 0.0013299446 0.001412394 0.0015199366 0.001412394 0.0012618342 0.0013729616 0.0014769195 0.0014518263 0.0011363677 0.0011722153 0.0014912586 0.0013980549 0.0014482415 0.001455411 0.0014088092 0.021447597 0.001455411 0.0018999208 0.0015091824 0.0015091824 0.0015521995 0.0016704964 0.0013837159 0.0015342756 0.0014088092 0.0015199366 0.0013120208 0.0014482415 0.0011937238 0.0012295714 0.0014088092 0.0013335292 0.0015306909 0.0013873007 0.0013550378 0.0013478684 0.0013263598 0.0014661653 0.021508537 0.0013944701 0.0014303178 0.0012546646 0.0012188171 0.0013837159 0.0012833427 0.0013299446 0.0013012665 0.021433257 0.0015557841 0.0017386067 0.00125108 0.0014661653 0.021436842 0.021447597 0.0013156055 0.0013586226 0.0015271062 0.0015450299 0.0011973085 0.00125108 0.0014303178 0.0013550378 0.0013657921 0.0018461494 0.0013765463 0.001337114 0.0012403256 0.0014231482 0.0014195634 0.0011578762 0.021375902 0.0013908854 0.0016418183 0.0013873007 0.0011722153 0.0012331561 0.0011148591 0.0011829695 0.0011973085 0.0011041049 0.013711693 0.02210779 0.0 7.2071034e-06 5.4053276e-06 3.6035517e-06 3.6035517e-06 0.0 0.0 0.0 0.0 0.0 0.0 7.2071034e-06 0.0 1.8017759e-06 3.6035517e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00662513 8.107991e-05 5.94586e-05 2.5224861e-05 0.005585505 0.0019423143 0.00016936693 6.1260376e-05 5.4053275e-05 1.0810655e-05 1.6215983e-05 1.8017758e-05 3.9639068e-05 1.8017758e-05 3.7837293e-05 1.6215983e-05 1.0810655e-05 0.0 5.7656827e-05 1.4414207e-05 0.0026468087 0.00088287017 5.7656827e-05 1.9819534e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008271953 9.008879e-06 0.00013333141 0.0001117101 0.00051891146 0.00050990254 0.0008792666 0.00059278426 7.2071034e-06 3.6035517e-06 9.008879e-06 3.6035517e-06 9.008879e-06 5.4053276e-06 5.4053276e-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 0.0 0.0070215203 6.846748e-05 0.0004990919 6.846748e-05 0.00022882553 0.00041260666 0.0014035833 0.0010180033 0.00011351188 2.162131e-05 3.7837293e-05 2.5224861e-05 3.0630188e-05 2.5224861e-05 4.8647948e-05 4.6846173e-05 0.028251845 0.0014378171 0.0017531279 0.0005008937 0.0022540216 0.0021044742 0.014781769 0.010792637 0.00073692633 4.5044395e-05 1.0810655e-05 9.008879e-06 5.4053276e-06 9.008879e-06 1.26124305e-05 2.5224861e-05 0.033781495 0.002176545 0.0027657258 0.0010053909 0.0044810167 0.004268407 0.014425017 0.010680927 0.0012522342 0.00022882553 0.00020540245 0.0001783758 0.00033513032 0.00030089656 0.00032972498 0.0010756602 0.0063999076 0.00018738469 0.0010143998 0.0003207161 0.0021116813 0.0014432224 0.002998155 0.002410776 0.00016215982 7.747636e-05 8.648524e-05 8.648524e-05 0.00012252075 0.00012432253 0.00034594096 0.0005585505 0.00871519 0.0007008908 0.00080359203 0.00038197648 0.001736912 0.0014216012 0.00044323684 0.0010468317 0.0008288169 0.00073692633 0.0012918733 0.0011963792 0.000787376 0.0003567516 0.00036756226 0.0013243052 0.00699089 0.000313509 0.00080359203 0.00049548835 0.00047386705 0.0007513405 0.0013459265 0.0015855627 0.00081079913 0.0008216098 0.00069008017 0.00047927236 0.00061080203 0.0003639587 0.000627018 0.0012864679 0.006163875 0.00028107702 0.0014414206 0.00046305638 0.0006396304 0.0018522255 0.0007675565 0.0019279001 0.0013999798 0.0014378171 0.00096034654 0.00095674297 0.0014179975 0.00086305063 0.0011225063 0.0041350755 0.019585304 0.030280644 0.016745705 0.01567725 0.04604258 0.00236393 0.016226793 0.032363497 0.016698858 0.001736912 0.016615978 0.016167335 0.0020360067 0.031547293 0.031725667 0.02152942 0.024082536 0.029695068 0.023738397 0.02377263 0.034359865 0.018035777 0.02395641 0.029042825 0.024453701 0.018428564 0.02350777 0.023342006 0.018023163 0.02858157 0.028525716 0.023287952 2022.0 12.200791 24670.0 0.019416295 0.001297122 0.003161735 0.001297122 0.00093230646 0.0025537089 0.0015403323 0.0010944468 0.006688285 0.0049452777 0.0018240778 0.0007296311 0.0011349818 0.0027563842 0.005837049 0.001256587 0.0012160519 0.001256587 0.0041345763 0.0034454803 0.0010944468 0.00093230646 0.00085123634 0.0010539116 0.0014592622 0.001297122 0.0066477503 0.0012160519 0.001297122 0.0027969193 0.0013781921 0.00093230646 0.0014997973 0.027280098 0.004377787 0.011633563 0.046291042 0.010133766 0.006039724 0.023672476 0.0039724363 0.02667207 0.0007296311 0.0019862182 0.004661532 0.0111066075 0.028374543 0.010944467 0.03169842 0.00328334 0.005755979 0.0101743005 0.009160924 0.0068504256 0.0033238751 0.00656668 0.0218484 0.0022294284 0.0014187272 0.0015403323 0.0023510337 0.0020672882 0.0014187272 0.0226591 0.001297122 0.035184436 0.0054316986 0.021564653 0.020308066 0.06428861 0.012160519 0.010093231 0.01305229 0.033927847 0.0021888935 0.0037292258 0.031090394 0.015484394 0.03652209 0.034373734 0.020875558 0.003850831 0.034941223 0.07936765 0.031414673 0.015079044 0.0042156465 0.00944467 0.004499392 0.011187677 0.0011349818 0.00085123634 0.0007296311 0.0008107013 0.0007296311 0.0009728415 5.5989656 8.0 2.0 0.0 5.0 278959.0 278528.0 0.0 0.0 62.0 0.0 1.0 0.0 0.0 0.0 1098460800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 2.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -196608.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1496763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6970582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.62739 0.0 5.783121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1718.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -194588.0 0.0 65628.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8468.0 65628.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.0936856 0.006095429 0.0047061313 0.0050741574 0.005028154 0.004338105 0.0049637496 0.003680259 0.005879214 0.0034870454 0.0032570292 0.0033996394 0.004604924 0.0033306344 0.00298101 0.0040804874 0.003579052 0.0030040115 0.0026497866 0.0036848595 0.0031328206 0.004876343 0.002714191 0.0031052185 0.003197225 0.0031880245 0.002741793 0.002994811 0.0030224128 0.0032708303 0.0026727882 0.0028522008 0.004784337 0.0028890034 0.0033904386 0.0028614015 0.003763065 0.003321434 0.002769395 0.0029074047 0.0029672089 0.002824599 0.002925806 0.0032570292 0.0029626086 0.0028153982 0.0033122331 0.0031006183 0.0058470117 0.003933277 0.0029672089 0.0041402914 0.0030454143 0.00298101 0.0027371927 0.0029994112 0.0033628368 0.0034778449 0.002783196 0.003211026 0.0028337995 0.0029304062 0.0028383997 0.0032340277 0.013023517 0.0038136684 0.0034134402 0.0039148754 0.0034410423 0.008298984 0.003298432 0.0038872736 0.003523848 0.0031144193 0.0030914177 0.003109819 0.002925806 0.00582401 0.0031006183 0.0029580083 0.0068820845 0.0035330488 0.0032938318 0.004614125 0.0035284483 0.0040390845 0.0039654793 0.0038964744 0.003040814 0.0026083835 0.0031696232 0.0028890034 0.0030592154 0.0038918739 0.0027509937 0.0036710585 0.002654387 0.004678529 0.002925806 0.0043979096 0.004020683 0.0072915135 0.0037124613 0.003565251 0.004604924 0.005621596 0.0041126898 0.0029580083 0.003818269 0.0036848595 0.0047107316 0.0057780067 0.0037032608 0.0026037833 0.005805609 0.0044393125 0.007314515 0.0060218237 0.0035146475 0.0030086117 0.0032570292 0.00326623 0.0028522008 0.002884403 0.002870602 0.0035054467 0.0027877963 0.0029074047 0.0032340277 0.0035974532 0.0032478287 0.004503717 0.003151222 0.0039838804 0.0031696232 0.003238628 0.00340884 0.0046095247 0.0030086117 0.008229979 0.0029166054 0.0077607464 0.002612984 0.0028337995 0.0028476005 0.0028291992 0.002714191 0.003224827 0.0027601942 0.002497976 0.0027785955 0.0028430002 0.002810798 0.0026267848 0.0027095908 0.0028890034 0.0028430002 0.0026313853 0.0027049903 0.0029166054 0.0040712864 0.004844141 0.003183424 0.002994811 0.0030086117 0.0025761814 0.0028660018 0.003027013 0.0027601942 0.0027601942 0.0026405859 0.0027923966 0.0027279921 0.0025577801 0.0026635875 0.0031144193 0.0025899822 0.002741793 0.002530178 0.002755594 0.0028061976 0.0030730164 0.002884403 0.002939607 0.003606654 0.002612984 0.00270039 0.0028936036 0.002668188 0.0025347786 0.0026175843 0.003068416 0.0042552995 0.0030914177 0.0030316135 0.004503717 0.003040814 0.002668188 0.0048073386 0.0036112543 0.0032754305 0.002925806 0.0028660018 0.002824599 0.0030132122 0.002769395 0.0026727882 0.0026451861 0.0033030326 0.0027371927 0.0028614015 0.0028798028 0.0030776167 0.0025807817 0.0032616297 0.003298432 0.0033582365 0.0027601942 0.0031190196 0.0033628368 0.0034824451 0.0026727882 0.0027923966 0.0030730164 0.003381238 0.0027233916 0.0026175843 0.002870602 0.0035974532 0.00270039 0.0031236198 0.0029166054 0.007769947 0.00369406 0.002925806 0.0035422493 0.004043685 0.002686589 0.0028383997 0.0027923966 0.0049131457 0.002870602 0.0029212057 0.0031282203 0.0030592154 0.0026589872 0.0030500146 0.0034180407 0.002939607 0.0028199984 0.0027049903 0.0033352347 0.005336376 0.0032616297 0.0031328206 0.021552518 0.014218009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073381034 4.8596714e-05 0.00011339233 0.00015041839 0.00025224008 0.00012033471 0.00085391366 0.00042579975 4.6282585e-05 4.6282585e-06 2.3141292e-05 1.8513034e-05 6.9423872e-06 9.256517e-06 2.545542e-05 4.1654326e-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 0.0104922615 5.091084e-05 0.00079143216 0.0005253073 0.00094185054 0.0006872963 0.00365401 0.0018119632 0.0 0.0 0.0 2.3141292e-06 0.0 0.0 0.0 0.0 0.020528639 0.00059935945 0.00047902475 0.00022678466 0.0027376148 0.00046976822 0.001164007 0.0009950756 0.0015157546 0.0005947312 0.000143476 0.00028000964 0.00041191498 0.0002614966 0.00015504665 0.0026126518 0.0071992557 0.00021058576 0.00021752814 0.00081457343 0.0052785287 0.0028926614 0.006255091 0.003531361 0.00018050207 0.00021521401 0.000115706454 9.950755e-05 8.330865e-05 0.0005970453 0.0005391921 0.00020595749 0.0023974378 5.091084e-05 8.562278e-05 4.6282585e-05 0.00031472158 8.793691e-05 9.950755e-05 6.2481486e-05 0.00014579014 9.025104e-05 8.562278e-05 6.479562e-05 0.00012959124 0.00032397808 0.00040728672 0.00034711938 0.013218306 0.00063407136 0.00072663656 0.000608616 0.0015550948 0.0010413581 0.0027468712 0.0017679947 0.0009464788 0.0005461345 0.0005785323 0.0006386996 0.0005577051 0.000770605 0.00090713863 0.0011917765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010890292 0.0013445091 0.0015759219 0.0016522883 0.007567202 0.004054354 0.0024437204 0.0025293431 0.006393939 0.00088399736 0.0016476599 0.0012982264 0.003135645 0.0013468232 0.005158194 0.009689258 0.023659656 0.0064980746 0.0047370223 0.006738744 0.01129295 0.007988374 0.0070881774 0.007759275 0.0128202755 0.0017263404 0.0047231377 0.0029482006 0.007224711 0.00445007 0.0068151103 0.016231302 0.047113355 0.041307203 0.04210558 0.042593863 0.0409624 0.04157333 0.04416284 0.041922763 0.04158027 0.040696274 0.041402083 0.03977988 0.040589824 0.04104108 0.04036304 0.04105265 1088.0 12.523897 13626.0 0.019374724 0.0043299575 0.0071187434 0.003963012 0.0034492882 0.0029355644 0.0034492882 0.0032291207 0.0041831792 0.005357405 0.0025686189 0.005504183 0.003375899 0.0037428446 0.012989872 0.0069719655 0.025686188 0.015998825 0.0064582415 0.0071921325 0.006311463 0.0036694554 0.0035960663 0.0057243505 0.004770292 0.0071921325 0.0049170703 0.0023484514 0.0049904594 0.0036694554 0.0041831792 0.010494643 0.026933802 0.019668281 0.00660502 0.019448115 0.012329371 0.01071481 0.005357405 0.017173052 0.004476736 0.0117422575 0.0034492882 0.0050638486 0.0057243505 0.008806693 0.0074123 0.0041831792 0.012696316 0.0046235137 0.008733304 0.018787611 0.00660502 0.005210627 0.0064582415 0.007926024 0.00990753 0.003963012 0.010127697 0.0025686189 0.003963012 0.002715397 0.002642008 0.013283429 0.002642008 0.02715397 0.006091296 0.024511963 0.013283429 0.05019815 0.013063261 0.012769705 0.012989872 0.036327608 0.0035226773 0.004843681 0.015925437 0.015925437 0.028181419 0.04205196 0.016806105 0.0034492882 0.044987522 0.024218407 0.04469397 0.00910025 0.008586526 0.0058711288 0.005430794 0.011301923 0.0031557316 0.0029355644 0.0025686189 0.0034492882 0.0030823427 0.0018347277 6.0695014 0.0 14.0 1.0 4.0 217376.0 139264.0 1.0 0.0 183.0 0.0 1.0 1.0 0.0 0.0 1161931500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 33792.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 0.0 73216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8306365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9799649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.283344 0.0 7.9438744 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19534.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33415.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 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 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 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 3.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 54160.0 3248.0 65536.0 0.0 0.0 6944.0 58880.0 0.0 0.0 28.0 41792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 46152.0 0.0 0.0 780.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.0052307346 0.0038694202 0.00387022 0.0038744183 0.003861223 0.004052155 0.003917403 0.0038780172 0.0038070425 0.0038996094 0.0040283636 0.0039379955 0.0038256359 0.003936996 0.003937196 0.0038358322 0.003844429 0.003931998 0.003960188 0.003958988 0.0039224015 0.0038964106 0.0039797807 0.003920202 0.003878217 0.003906407 0.0038626227 0.0039016088 0.0039022085 0.0039711837 0.0038416302 0.003903408 0.003914404 0.003942994 0.0039216015 0.0039835796 0.0039917766 0.003991177 0.0038826154 0.0039321976 0.0039667855 0.003926 0.0038824156 0.0039090062 0.0039275996 0.003942394 0.0038994094 0.003949192 0.0039024083 0.0038730188 0.0039291987 0.0039537903 0.0039062072 0.003903608 0.003850427 0.0038722192 0.0039080065 0.0038856145 0.0038768174 0.0039553894 0.0039002092 0.003833433 0.0038436293 0.0038766176 0.003928399 0.0039855787 0.003984379 0.0038914124 0.0039619873 0.0039383955 0.0038986097 0.0038794165 0.0039523905 0.003978981 0.0039082062 0.0039673853 0.003920802 0.0038540256 0.003940595 0.0038806163 0.003977182 0.0039893775 0.003892612 0.0038932117 0.003878217 0.0038274352 0.003830234 0.0038838151 0.0039321976 0.0039421944 0.003948792 0.0038976101 0.0039162035 0.0038858142 0.003956989 0.003830234 0.0039052074 0.0039080065 0.003910206 0.0038764176 0.0039721834 0.003956389 0.0039525903 0.0039104056 0.0039206017 0.003878217 0.0038344327 0.0038818158 0.0039018085 0.0038596236 0.0039297985 0.0038228368 0.0038574245 0.003909406 0.003958988 0.0038714195 0.0039557894 0.0038106411 0.0039256 0.0039142044 0.0038552252 0.003914404 0.0038330331 0.0038458286 0.003917403 0.003878217 0.0038536259 0.0038508268 0.0039421944 0.0039407946 0.0039915764 0.003923801 0.0039437935 0.0039883777 0.0038880135 0.003892412 0.003956789 0.003963187 0.0038930117 0.003934797 0.0038914124 0.0039383955 0.0038838151 0.0038288347 0.003960388 0.0039461926 0.00398298 0.0038348325 0.003900609 0.0038746183 0.0039389953 0.0038912124 0.0038800163 0.003944993 0.0038450288 0.0038826154 0.0038486277 0.003884415 0.003892412 0.0039018085 0.003933397 0.003914604 0.0040027727 0.0038464284 0.0038740186 0.0039256 0.0038944113 0.0038408304 0.0039086062 0.0038452288 0.0038888133 0.003861823 0.003917803 0.0037908482 0.003889413 0.0038746183 0.0039613876 0.003926 0.003931598 0.0038748183 0.003948392 0.0038874138 0.0038470281 0.00384203 0.003923401 0.0038908126 0.003861823 0.0038178386 0.0039311983 0.0038484277 0.0038552252 0.0038798165 0.0039445935 0.003942594 0.003878417 0.003903208 0.0039084065 0.0038914124 0.0038774174 0.0038582243 0.0039218017 0.0038814158 0.0039210017 0.003914604 0.003973383 0.0038250359 0.003875218 0.0038886133 0.004035561 0.003936796 0.0038920122 0.0038374315 0.0038328331 0.0037900484 0.003858624 0.0037778527 0.0039050074 0.0038826154 0.003894811 0.0038252359 0.0038624227 0.003827835 0.0038712195 0.0039040078 0.0039301985 0.003912005 0.003917603 0.0038900129 0.003878617 0.0038368318 0.003844229 0.0038834151 0.0039739828 0.0038876138 0.003819638 0.0038600236 0.0038874138 0.0038606233 0.0038780172 0.0039271996 0.003910206 0.003923201 0.0038660213 0.0038938115 0.0038838151 0.0038016443 0.0038470281 0.0038902129 0.0039252 0.00389841 0.0038822156 0.0038946113 0.0038872138 0.0038574245 0.0039016088 0.0040593524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00012359525 3.9998463e-07 9.7996235e-06 1.7999308e-06 7.899696e-06 6.2997583e-06 3.359871e-05 1.7399332e-05 5.9997694e-07 4.999808e-07 4.999808e-07 4.999808e-07 4.999808e-07 5.9997694e-07 3.9998463e-07 3.9998463e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033208725 6.899735e-06 4.219838e-05 1.2299528e-05 1.589939e-05 1.6799355e-05 8.3996776e-05 4.5898236e-05 1.4299451e-05 5.399793e-06 4.5998236e-06 5.4997886e-06 4.5998236e-06 2.8998886e-06 2.3999078e-06 1.8599285e-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 0.0001691935 9.099651e-06 4.189839e-05 2.2899121e-05 1.6799355e-05 1.3299489e-05 5.3497944e-05 3.1598785e-05 1.3299489e-05 3.199877e-06 2.1999156e-06 3.5998617e-06 5.9997697e-06 2.6998964e-06 3.799854e-06 1.6499367e-05 0.00038958504 2.7698936e-05 3.1698783e-05 2.029922e-05 3.1298798e-05 2.7998925e-05 3.679859e-05 3.439868e-05 5.2797972e-05 2.7098959e-05 2.2199147e-05 4.399831e-05 3.829853e-05 3.179878e-05 3.539864e-05 0.00017259337 8.149687e-05 1.6099382e-05 4.139841e-05 2.9098883e-05 1.2399524e-05 1.1799547e-05 4.6398218e-05 3.2298758e-05 1.2699512e-05 1.3399485e-05 1.3999463e-05 2.6398986e-05 8.099689e-06 1.0399601e-05 1.1899543e-05 4.16984e-05 4.4198303e-05 5.699781e-06 4.8998118e-06 4.4998274e-06 5.099804e-06 6.2997583e-06 7.599708e-06 7.699704e-06 9.699627e-06 9.099651e-06 1.0599593e-05 1.4599439e-05 1.119957e-05 8.59967e-06 1.3399485e-05 4.1598403e-05 0.0625524 0.062524 0.06279639 0.06218371 0.062788285 0.062401205 0.062161814 0.06198542 0.06270839 0.062354907 0.062158413 0.062134814 0.062343806 0.061879825 0.062122915 0.06203662 23619.0 5.7022734 134682.0 0.011464042 0.010914599 0.010587904 0.010439405 0.010409706 0.010328032 0.010550779 0.01047653 0.010625028 0.010773526 0.010216659 0.010008762 0.010565628 0.010773526 0.010142409 0.010469105 0.010714127 0.010521079 0.010431981 0.010662152 0.010513654 0.009956787 0.010149835 0.009993912 0.010313182 0.010001336 0.010253783 0.010290908 0.010008762 0.010179534 0.010164685 0.009941937 0.009971637 0.010521079 0.010951723 0.010357732 0.010253783 0.01011271 0.010387431 0.009607817 0.010417131 0.011152196 0.010595328 0.010691852 0.010372581 0.009786014 0.010283482 0.009986486 0.010714127 0.010625028 0.010164685 0.010008762 0.010342882 0.010936874 0.010298332 0.010439405 0.01046168 0.010728977 0.010313182 0.010305758 0.01049138 0.009882539 0.010728977 0.009845413 0.010513654 0.010654727 0.010877474 0.010261208 0.010743827 0.011248719 0.010736401 0.009897388 0.010639878 0.010959148 0.010075586 0.010758676 0.010706701 0.010179534 0.011003697 0.010328032 0.010328032 0.010892324 0.011018547 0.010728977 0.010892324 0.009563267 0.010469105 0.010587904 0.010238933 0.010261208 0.010877474 0.010090435 0.010253783 0.009964212 0.010276058 0.009392495 6.5840416 0.0 0.0 0.0 76.0 5001783.0 5115904.0 0.0 0.0 32.0 0.0 1.0 0.0 0.0 0.0 1477354100.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 5092864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.228352 0.0 0.0 0.0 0.0 0.0 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 -5.865383 0.0 7.9998107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -298.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1592.0 0.0 5092840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 9644.0 5092840.0 16384.0 0.0 0.0 12896.0 5099520.0 144.0 5111808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.05676967 0.008304948 0.0061776284 0.0056527997 0.005753409 0.0049672034 0.0041955183 0.0054204646 0.0050460314 0.005633093 0.0037526293 0.0044672675 0.0049495706 0.0031749029 0.0043293186 0.0046425564 0.00504292 0.003766113 0.004936087 0.004149881 0.004355249 0.0031728284 0.00410943 0.003843904 0.0050864825 0.0033418937 0.003165568 0.0029259722 0.004150918 0.0034404288 0.0037920433 0.0037941178 0.006174517 0.0038138248 0.0034860661 0.0030203583 0.004886301 0.004167514 0.003838718 0.003725662 0.0047327937 0.0038999133 0.0033367078 0.0030908887 0.0043697697 0.0037142525 0.0037184013 0.00358875 0.0055138133 0.0039559226 0.0031012609 0.0028948558 0.0036779502 0.0030763678 0.0026874137 0.002856479 0.004173737 0.0033128518 0.0035275545 0.0033470797 0.003998448 0.0032267633 0.0035036986 0.0034549497 0.0065997737 0.003959034 0.0036219407 0.0032278006 0.004158179 0.003214317 0.0035410384 0.0030711817 0.0049941707 0.0037806341 0.0037049176 0.003578378 0.00413536 0.0031282282 0.0035524475 0.0034673964 0.005167385 0.0036312756 0.0036551314 0.0033377449 0.00391962 0.0033792334 0.0033605637 0.0035410384 0.004649817 0.0036468338 0.0038076015 0.0035119965 0.004104244 0.0033864938 0.0036945455 0.0037827084 0.005917289 0.0036250523 0.0033418937 0.002949828 0.0040140064 0.0030545862 0.0032661774 0.0030338422 0.0049672034 0.0031676423 0.0032029075 0.0030504374 0.003578378 0.0028398836 0.003091926 0.0031873493 0.0045066816 0.0032827728 0.003224689 0.0031417122 0.003892653 0.0033356706 0.0032848471 0.0036240153 0.0046197376 0.0032931447 0.0034746567 0.0031645307 0.004037862 0.0031966842 0.0034684336 0.0033439682 0.008647228 0.0045989933 0.004016081 0.0035234056 0.004370807 0.0034342057 0.0030162095 0.0033916798 0.0045409095 0.0038314573 0.0029560514 0.003195647 0.0037266992 0.0028066928 0.0028450696 0.0029799072 0.0052379156 0.0031977214 0.0034881404 0.0030255443 0.0036644663 0.0031790517 0.0033180378 0.0032641029 0.0045450586 0.0028409208 0.0030390283 0.002702972 0.0035119965 0.0032267633 0.0029882048 0.003151047 0.005004543 0.0034082753 0.0032703262 0.0027983952 0.003775448 0.003018284 0.0030618468 0.003186312 0.004138472 0.0029954654 0.0031126703 0.003008949 0.0036499454 0.0028336605 0.0029093768 0.0030338422 0.004669524 0.0031240794 0.003838718 0.0028606278 0.0035617824 0.0031427492 0.0029913164 0.003120968 0.0042546396 0.0031500098 0.0033346333 0.0031738656 0.0036551314 0.0031821632 0.0033201124 0.003353303 0.006724239 0.004059644 0.0037266992 0.003342931 0.0041146157 0.0032506192 0.003303517 0.0032267633 0.0043376163 0.003323224 0.0031147446 0.0030753305 0.0036447593 0.0029850933 0.0030753305 0.0028015068 0.0042494535 0.003274475 0.0030888142 0.0029975397 0.0037152898 0.003013098 0.0029373814 0.0029404932 0.0039745923 0.0031105957 0.0027278648 0.0026365903 0.0035337778 0.0029477535 0.003583564 0.0028803349 0.004950608 0.0032412843 0.0033947916 0.0029767954 0.0038158991 0.0030742933 0.003199796 0.0029010791 0.0044423747 0.005457804 0.0034642846 0.003132377 0.0037827084 0.0030691072 0.0032433588 0.003185275 0.004615589 0.003323224 0.0034227963 0.003043177 0.0037474432 0.003091926 0.0033066287 0.00323921 0.0043542115 0.0030307304 0.0031842378 0.0028585535 0.0040181554 0.0030950375 0.004219374 0.00452224 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.099255115 0.062024705 0.062455326 0.055307202 0.060610246 0.059560962 0.054956056 0.054449074 0.060465842 0.053158764 0.052100647 0.05293592 0.056407392 0.050531916 0.056633353 0.053828333 4019.0 5.7036576 22923.0 0.017100729 0.010426209 0.009335602 0.008593989 0.013479911 0.012432927 0.011734938 0.011516817 0.012694674 0.00972822 0.0085503645 0.008593989 0.013916154 0.0105570825 0.011778563 0.009946343 0.016795358 0.011865811 0.008681237 0.007503381 0.009815469 0.008463115 0.007808751 0.008332243 0.010251712 0.0085067395 0.009553723 0.00881211 0.011516817 0.009073856 0.009640972 0.009248354 0.01801684 0.010949701 0.010382585 0.009073856 0.010862453 0.008899359 0.010687956 0.008288618 0.014221524 0.011604066 0.009771845 0.008986607 0.011429569 0.009379226 0.01164769 0.009597348 0.014832265 0.009640972 0.009989967 0.009073856 0.012083933 0.009335602 0.009553723 0.009859093 0.013741657 0.009248354 0.010600707 0.009553723 0.011124198 0.009815469 0.010382585 0.010687956 0.017929591 0.010993325 0.00972822 0.008157746 0.013130916 0.008332243 0.009379226 0.008375867 0.015443005 0.009291978 0.008899359 0.008768486 0.011385945 0.007983249 0.009902718 0.0078523755 0.013174541 0.008026873 0.008681237 0.008724862 0.011429569 0.009466475 0.008157746 0.007896 0.010862453 0.008899359 0.0119094355 0.0085503645 0.011298696 0.009073856 0.009989967 0.008724862 6.5546007 0.0 0.0 0.0 14.0 964124.0 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: 0.034695514 0.006330795 0.0056249863 0.004845069 0.0053351023 0.0047969273 0.0043729595 0.004463383 0.005355439 0.004306894 0.0043309075 0.0043641124 0.0050868113 0.0042522033 0.0042963233 0.0054836636 0.005284088 0.004191538 0.0041652266 0.004507848 0.0044462634 0.004461085 0.0041808523 0.0041486816 0.0043801977 0.0041055954 0.00411697 0.004137307 0.0042664506 0.0041623544 0.00414443 0.0041276556 0.0047479817 0.0041120294 0.0041575287 0.004119383 0.0050521125 0.0041566095 0.0041774055 0.0040910034 0.0042485264 0.004102608 0.004064922 0.004180163 0.0042140577 0.0042255474 0.0041355835 0.0040890505 0.0044783195 0.0042633484 0.004289085 0.0048214 0.0042943703 0.0042348537 0.004273574 0.0042163557 0.004350095 0.0043996153 0.004251284 0.004611025 0.004376866 0.0043837596 0.0042309472 0.0045370315 0.0039279656 0.0038120348 0.0033894456 0.0035220361 0.0039232546 0.004558632 0.003666576 0.0035252534 0.0038389207 0.003684385 0.0033370529 0.0034051866 0.004208198 0.0038371973 0.0034470088 0.0033533683 0.0041500605 0.0034880268 0.0034148379 0.0037023087 0.0035130742 0.003895335 0.0037281604 0.0037106962 0.0034414937 0.0036470436 0.0032964945 0.003404612 0.0033416487 0.0036917382 0.0035806333 0.0035876422 0.0033137288 0.0035949955 0.0033969139 0.003405876 0.003547888 0.0038281204 0.003969443 0.003336823 0.0036827764 0.0035496114 0.0039744987 0.0033052266 0.0034935419 0.0034337956 0.0035173255 0.0035963743 0.0035405345 0.0032500762 0.0042641526 0.00355685 0.004633085 0.0045758667 0.0033922032 0.0033601471 0.0033948459 0.003369109 0.0033087884 0.0033889862 0.003421387 0.0035519092 0.0036402647 0.0038877516 0.0044771708 0.003758723 0.003282707 0.004615046 0.0037256328 0.0043160855 0.003288222 0.0032896006 0.003457924 0.0046523875 0.0032884518 0.008143746 0.003327057 0.004376866 0.0032789153 0.0032875326 0.0034143783 0.003221582 0.0032333015 0.0032239947 0.0033032733 0.0032767323 0.0032631746 0.0032643233 0.0033064904 0.003360262 0.0032584637 0.0032207777 0.0032599573 0.0032408845 0.0032453656 0.0032655874 0.003346934 0.003259383 0.003239161 0.0032817877 0.0032967243 0.0032701832 0.0032133095 0.0032022793 0.0032883368 0.003215952 0.003230314 0.0032614511 0.0032661618 0.0033407295 0.0033251038 0.0032693788 0.0033612961 0.0033055714 0.0032117008 0.003280179 0.0032920134 0.0033666962 0.0034185145 0.0034240296 0.0034152975 0.0033268272 0.0033188993 0.0032220415 0.0033299294 0.0032994817 0.0033338359 0.0033409593 0.0042342795 0.0035885612 0.0034894056 0.0036209621 0.0034880268 0.0032756983 0.0034938867 0.0040444704 0.003511121 0.0036043022 0.0032956903 0.0033463596 0.0035042274 0.0032305438 0.0034695286 0.0033558959 0.0033711772 0.003263864 0.003298333 0.0033030435 0.00332361 0.003210322 0.0032642086 0.0032565105 0.0035141085 0.0034107016 0.0032607617 0.0033646282 0.00334027 0.0033254484 0.0032846602 0.0032617957 0.0035199681 0.0033294698 0.003327057 0.003278341 0.003519049 0.0033918584 0.0032639788 0.0032723662 0.0051733283 0.003720003 0.0033054564 0.0037966387 0.0037534377 0.0032364037 0.003286039 0.0033500362 0.0037450502 0.0034043822 0.0033774965 0.0033253336 0.0034919335 0.0032840855 0.0035436368 0.0034950355 0.0040526283 0.0036539373 0.0034104718 0.0034452854 0.004093531 0.003444711 0.0036368177 0.010819456 0.0057590525 0.0 3.4475025e-07 0.0 0.0 0.0 4.9414202e-06 1.7237512e-06 0.00046886032 0.0 0.0 0.0 0.0 1.7237512e-06 1.14916745e-07 0.0 0.0004394991 2.223639e-05 6.895005e-07 2.8729187e-07 1.2640842e-06 1.1032008e-05 2.9878354e-06 1.6662929e-06 0.00010750462 2.2983349e-07 2.8729187e-07 2.2983349e-07 5.7458372e-08 2.8729187e-07 5.7458372e-08 5.7458372e-08 0.000110090245 2.8729187e-07 5.1712533e-07 4.5966698e-07 4.5966698e-07 2.2983349e-07 4.022086e-07 3.4475025e-07 2.2408765e-06 4.5966698e-07 6.320421e-07 3.4475025e-07 2.8729187e-07 3.4475025e-07 1.7237512e-07 4.022086e-07 0.00043134 0.00012882167 4.769045e-06 5.8032956e-06 1.551376e-06 9.767923e-07 8.101631e-06 5.28617e-06 2.2983349e-07 4.5966698e-07 1.7237512e-07 1.14916745e-07 2.8729187e-07 1.7237512e-07 1.7237512e-07 1.14916745e-07 0.0016236587 0.0005519451 1.2928133e-05 7.0099213e-06 2.6373393e-05 7.699422e-06 2.327064e-05 5.9871625e-05 0.00037428385 5.228712e-06 4.481753e-06 8.8485895e-06 9.480632e-06 9.8828405e-06 8.446381e-06 0.00020845898 0.001708812 0.00015220723 7.4006384e-05 6.0216375e-05 0.00031188404 0.00019328996 2.2064016e-05 6.711138e-05 3.4704855e-05 5.1712536e-06 8.791131e-06 5.8090416e-05 3.1602103e-05 1.0342507e-05 1.1261841e-05 0.00030998792 0.002973873 0.00016651436 0.00013835976 5.0620827e-05 0.0002495417 0.00014255423 0.00026235494 0.00078591565 0.00066554034 3.4877234e-05 1.1606591e-05 4.7575533e-05 1.7524804e-05 1.42496765e-05 7.101855e-05 0.0002516102 0.01716885 0.013365622 0.013518921 0.01330259 0.00029585315 0.00014818514 0.0007194937 0.00083159504 8.997981e-05 5.194237e-05 8.4463805e-05 0.00017317953 0.00021604348 8.8198605e-05 0.00015668898 0.0003908893 0.0023890617 0.00013721059 0.00021839928 9.526598e-05 0.00024615167 9.1990856e-05 0.0004560471 0.0003645159 8.6359934e-05 9.698973e-05 5.5906996e-05 4.832249e-05 0.00017702924 0.00010267811 8.802622e-05 0.0005237331 0.0033151757 0.00020058718 0.00034279664 0.00019024467 0.0007101855 0.00023506221 0.0010845268 0.0006249173 0.00011589354 6.0790957e-05 7.2110255e-05 8.900302e-05 0.00034561212 6.992684e-05 0.00010066707 0.0003267083 0.001458983 0.00012227142 0.00010836649 0.0001080792 0.00021248106 9.3312396e-05 0.0002930377 0.00019122146 7.946493e-05 0.00010761953 4.7000947e-05 0.00010664274 0.00011526149 8.8543355e-05 0.00014571444 0.00048759175 0.0012953415 0.00017208782 0.00017863807 0.0019447935 0.000260861 0.00020776948 0.00032498455 0.0003175724 0.0002741339 0.00018392425 0.00020081701 0.00017949996 0.00019949547 0.00016312432 0.00020817168 0.00036089603 0.0017734526 0.00014967906 0.0001819132 0.00027321457 0.00037974239 0.0002909692 0.00018944025 0.00029269294 0.0006838121 9.946044e-05 7.251246e-05 0.00018271763 0.00027717918 0.000117100164 0.00022971857 0.0006901325 0.009343191 0.0014435841 0.0011423874 0.001505869 0.0030943633 0.0027506473 0.0013018918 0.0021352107 0.005917523 0.0004778813 0.0004759277 0.0007638516 0.0022344412 0.0008105078 0.0023840629 0.005287147 0.007044454 0.0014083047 0.0013792883 0.0015041453 0.002907681 0.0026422231 0.0013763579 0.0020182254 0.005002441 0.0004901199 0.00056969974 0.0008084968 0.0021145255 0.00097363215 0.0022229494 0.0044873264 0.051051363 0.05081285 0.0505798 0.05092869 0.05074419 0.050784007 0.05088186 0.050844166 0.050671276 0.05074988 0.05070914 0.050786767 0.050819 0.050608873 0.05090243 0.050905187 44088.0 6.362117 280493.0 0.017390808 0.01188978 0.012709765 0.011640219 0.013519054 0.012171427 0.011715087 0.011996734 0.012560029 0.012445943 0.01200743 0.012050211 0.012224904 0.012335423 0.012481594 0.011975343 0.014431733 0.013772179 0.014089478 0.0134905325 0.013708007 0.013601053 0.013968263 0.013472707 0.013141148 0.014396081 0.014210694 0.013996785 0.0136474 0.0134548815 0.013344361 0.0137757445 0.007722118 0.008032286 0.007091086 0.008702534 0.008681144 0.008010895 0.00800733 0.007946722 0.008107155 0.008296107 0.006877177 0.007205171 0.008235499 0.007722118 0.007836203 0.0075331647 0.009201656 0.0076615103 0.0076009026 0.008902183 0.008349584 0.0111910105 0.008310367 0.009062614 0.0075509907 0.007650815 0.0076187286 0.0074547315 0.0074618617 0.0072229966 0.00753673 0.009964598 0.007397689 0.0129878465 0.008417322 0.010542152 0.010281896 0.017843582 0.008884357 0.008221239 0.008887922 0.01226412 0.008688274 0.0076722056 0.011062665 0.0094654765 0.011768565 0.013280189 0.010171377 0.0071445634 0.0132017555 0.011618828 0.01624283 0.009964598 0.0079217665 0.007925332 0.008142806 0.00859558 0.0075723813 0.01096284 0.007608033 0.0074333404 0.008032286 0.009433391 6.537667 0.0 15.0 0.0 117.0 8703488.0 8728576.0 1.0 0.0 504.0 1.0 1.0 0.0 0.0 0.0 1542210300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 581632.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581632.0 0.0 7874560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.79917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7656097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1963819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6754565 0.0 7.966093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 195982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581597.0 0.0 7874312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -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 0.0 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 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 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 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 770252.0 7874312.0 819200.0 0.0 0.0 0.0 0.0 28980.0 8695808.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 674640.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0