Input: 0.34878817 0.0033735796 0.0028242632 0.0041060015 0.002729936 0.002125133 0.0019975142 0.001731179 0.002779874 0.0020141602 0.002286044 0.0019420277 0.0027909712 0.0022139116 0.002125133 0.002557928 0.002080744 0.0020419033 0.0027965198 0.0022693982 0.0027687766 0.0024414062 0.0019475763 0.0021084873 0.0022194602 0.0019475763 0.002080744 0.0028242632 0.0032958984 0.0019586736 0.0018698953 0.0018144087 0.0064974697 0.0017589222 0.0025801226 0.001953125 0.0038951526 0.0019420277 0.0021306819 0.0020419033 0.0036787554 0.002125133 0.0018643466 0.0023581765 0.0023248845 0.0026966443 0.0025801226 0.0031682795 0.0044555664 0.0031072444 0.0025357334 0.0020696467 0.0024414062 0.002352628 0.0033957742 0.0033846768 0.002335982 0.0024025657 0.0020696467 0.00209739 0.0022527522 0.002080744 0.003096147 0.0021528765 0.003318093 0.0022250088 0.002319336 0.002191717 0.0037120471 0.0038840554 0.0025523792 0.0021639736 0.002779874 0.0024081143 0.0022583008 0.0019087358 0.0035622336 0.003284801 0.002397017 0.0023082385 0.0028242632 0.0017977628 0.0022472034 0.0029130415 0.0026023171 0.0027576794 0.002347079 0.0023137874 0.002175071 0.0019142844 0.002985174 0.0022305576 0.002158425 0.002397017 0.0024414062 0.0024303088 0.0043612393 0.0041337446 0.0020751953 0.0022638494 0.0038008257 0.0053599966 0.0025190874 0.0026855469 0.0045665395 0.00398948 0.0036787554 0.0024358577 0.003096147 0.0024525037 0.004339045 0.003651012 0.0041725854 0.0022638494 0.0036454634 0.0036787554 0.0038396663 0.003462358 0.0028797498 0.0021084873 0.0024802468 0.0025690251 0.0033402876 0.0020141602 0.0024025657 0.0021473279 0.002380371 0.0019087358 0.002380371 0.0033846768 0.002114036 0.0029463335 0.0022139116 0.0020363547 0.0018976385 0.0018477007 0.0024469548 0.005071467 0.0030129172 0.004622026 0.0037730823 0.002413663 0.0031738281 0.001858798 0.0021029385 0.0019586736 0.001969771 0.0017200817 0.0030406604 0.0019753196 0.0018698953 0.0018754438 0.0025301846 0.0030351118 0.002080744 0.001969771 0.001747825 0.0019198331 0.0018754438 0.0018088601 0.0019475763 0.002080744 0.0030240146 0.0019919656 0.0020086116 0.002114036 0.0022804954 0.0027854226 0.002363725 0.0022583008 0.0023914685 0.003301447 0.002286044 0.001986417 0.001842152 0.0024691494 0.0034068713 0.0020862927 0.0020474521 0.0019919656 0.0017700195 0.0020197087 0.0022749468 0.0022139116 0.002319336 0.0030184658 0.0019253817 0.0021195845 0.002125133 0.0033569336 0.0020696467 0.0021195845 0.0025135388 0.0023415305 0.002352628 0.0023581765 0.002413663 0.0019142844 0.002968528 0.0028963955 0.0023748225 0.0021029385 0.0023415305 0.0019031871 0.0022971414 0.0020030627 0.002158425 0.0021084873 0.002191717 0.002125133 0.0018754438 0.0028464578 0.0021972656 0.0031016956 0.002064098 0.0018643466 0.0021972656 0.0020585493 0.0019919656 0.0022361062 0.001986417 0.0018698953 0.0017589222 0.0019142844 0.002114036 0.0021195845 0.0021306819 0.002175071 0.004721902 0.003112793 0.0017755682 0.002208363 0.0033236416 0.0023248845 0.0020918413 0.0029019443 0.0028464578 0.002208363 0.0019198331 0.003479004 0.0035011985 0.0027021929 0.0018643466 0.0037508877 0.0028020686 0.0030295632 0.002968528 0.002125133 0.0024247603 0.0020363547 0.002064098 0.0022971414 0.002319336 0.0020751953 0.0024247603 0.004971591 0.16558594 1.1160714e-05 5.580357e-06 1.3950893e-05 1.1160714e-05 1.674107e-05 2.7901786e-05 8.370535e-06 5.580357e-06 2.7901785e-06 1.1160714e-05 5.580357e-06 2.7901785e-06 2.7901785e-06 2.7901785e-06 0.0 0.011032366 2.7901786e-05 4.4642857e-05 2.7901786e-05 1.1160714e-05 2.7901786e-05 2.2321428e-05 3.90625e-05 2.7901786e-05 2.2321428e-05 3.348214e-05 2.7901786e-05 3.90625e-05 2.2321428e-05 5.580357e-06 1.674107e-05 0.005329241 8.370535e-06 4.185268e-05 4.7433037e-05 1.953125e-05 2.2321428e-05 0.00018694196 5.580357e-05 0.0 0.0 0.0 0.0 0.0 0.0 2.7901785e-06 0.0 0.025577568 0.00019252232 0.00022879464 0.00017578126 0.00019252232 0.00017299107 0.0004157366 0.00020368304 0.00026785713 0.0001422991 0.00013392857 0.00017020089 0.00010881697 0.00013392857 0.00022879464 0.00022600447 0.014634486 0.00011160714 0.00010881697 0.0009821429 7.2544644e-05 6.696428e-05 0.00013950893 0.00010881697 0.0001311384 8.649554e-05 0.00012555804 0.00010881697 7.533482e-05 0.00011439732 0.0001422991 0.00013392857 0.009355469 0.00011439732 0.00013950893 0.00017578126 0.00010602678 8.928571e-05 0.00021763393 0.00011997768 0.00016462053 8.928571e-05 0.00013671875 0.0001311384 0.00011160714 0.00011997768 0.00017020089 0.00018694196 0.017142856 0.0002483259 0.00056640623 0.0003766741 0.00084542413 0.00029017858 0.0010574777 0.00060267857 0.00034040178 0.00014508929 0.00017020089 0.00018973215 0.0002204241 0.00012555804 0.00018136161 0.00035435267 0.022254465 0.00011439732 0.002703683 0.00010602678 0.0012248884 0.000703125 0.0080775665 0.003922991 0.00014508929 7.533482e-05 2.7901786e-05 3.90625e-05 0.00011439732 4.4642857e-05 0.00019810267 0.0002483259 0.013696986 0.00018415178 0.0013699777 0.0002511161 0.0013364955 0.0012388392 0.0021316963 0.0007924107 0.00034598215 0.00013671875 0.0 1.1160714e-05 0.0005217634 5.580357e-06 5.580357e-06 0.000828683 0.012246094 0.00027622769 0.0014453125 0.00031529018 0.000906808 0.00059151783 0.002421875 0.0017243304 0.0008565848 0.00025669642 0.00015066964 0.00033203125 0.00034040178 0.0002511161 0.00038504464 0.00035714285 0.009863282 0.00040736608 0.00045758928 0.00065848214 0.001015625 0.0005245536 0.0004268973 0.00046037947 0.0003766741 0.0003794643 0.00039620535 0.00027064732 0.00044642857 0.00034040178 0.0005245536 0.000594308 0.0220452 0.0010714285 0.0018694196 0.0018024554 0.0020033482 0.001484375 0.0038253348 0.0023688616 0.0013113839 0.00094587053 0.0011132812 0.0012751116 0.0011662947 0.000984933 0.001219308 0.0012276786 0.007159598 0.00060546875 0.00063337054 0.0008035714 0.0003794643 0.0003376116 0.001171875 0.0005022322 0.00091517856 0.0005078125 0.0006640625 0.0006417411 0.0003515625 0.00046595983 0.0009347098 0.0010686384 0.009631696 0.0009235491 0.0014732142 0.0015541294 0.0016183036 0.0011467634 0.0016155133 0.0010128348 0.0016434152 0.00083984376 0.0009542411 0.0011830357 0.001297433 0.0010016741 0.0012583706 0.0014174107 0.0070758928 0.0015011161 0.00265625 0.0014955357 0.0048186383 0.0029882812 0.0012862723 0.0017327009 0.0075558037 0.0009263393 0.0007617187 0.0012137276 0.0032003347 0.0016015625 0.0027427454 0.004157366 0.030892856 0.030828683 0.030039063 0.033671875 0.028850446 0.028992746 0.032575335 0.031835936 0.031347655 0.029101562 0.03265625 0.031434152 0.029241072 0.029252233 0.033649553 0.03277344 547.0 6.716636 3674.0 0.010070767 0.0046271095 0.0070767556 0.008982036 0.013064779 0.005171475 0.010070767 0.005988024 0.009526402 0.006804573 0.005988024 0.008982036 0.010887316 0.0070767556 0.011703865 0.0070767556 0.032389767 0.010615134 0.015786609 0.009254219 0.009526402 0.0076211216 0.010615134 0.013064779 0.0076211216 0.008982036 0.006804573 0.006804573 0.0076211216 0.008709853 0.008709853 0.00843767 0.008165487 0.010615134 0.0073489384 0.011431682 0.017419705 0.010887316 0.008165487 0.011159499 0.008709853 0.008982036 0.00843767 0.0073489384 0.009254219 0.010070767 0.0076211216 0.011159499 0.009526402 0.0076211216 0.013336962 0.010887316 0.011159499 0.009254219 0.0070767556 0.013609146 0.0048992923 0.006260207 0.0046271095 0.008982036 0.006804573 0.006804573 0.005715841 0.0076211216 0.010887316 0.0138813285 0.0097985845 0.010615134 0.0138813285 0.026129559 0.008709853 0.012248231 0.011976048 0.016603157 0.011703865 0.01034295 0.018236255 0.013336962 0.017964073 0.02340773 0.016058791 0.0073489384 0.019052804 0.010887316 0.023135547 0.012792597 0.00843767 0.007893304 0.011159499 0.007893304 0.005715841 0.006804573 0.0097985845 0.008709853 0.008709853 0.009254219 6.4700565 0.0 0.0 0.0 4.0 180224.0 188416.0 1.0 0.0 36.0 1.0 1.0 0.0 0.0 0.0 786906940.0 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 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 13.0 0.0 5.0 1.0 4.0 0.0 12288.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 40960.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8436174 0.0 0.0 6.8635726 0.0 0.0 0.0 0.0 0.0 5.0652957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2097728 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.975887 0.0 0.0 0.0 0.0 0.0 0.0 -6.6668415 0.0 4.1252627 0.0 0.0 0.0 0.0 -6.975206 0.0 0.0 0.0 0.0 0.0 0.0 -352.0 0.0 0.0 39009.0 0.0 0.0 0.0 0.0 0.0 2070.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22652.0 0.0 0.0 0.0 0.0 0.0 0.0 -8770.0 0.0 16704.0 0.0 0.0 0.0 0.0 -64172.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 240.0 17200.0 16704.0 163840.0 0.0 0.0 0.0 0.0 352.0 184320.0 56.0 16576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.15779245 0.009237337 0.0048490716 0.0046986826 0.007561852 0.0050765825 0.0035842638 0.00351871 0.008269451 0.003904322 0.0031774433 0.0022037728 0.0065168436 0.0039216746 0.0028361767 0.0101705175 0.005882512 0.0019434846 0.0018914271 0.0015173834 0.0033413284 0.0038908254 0.0017063332 0.0014055559 0.002982709 0.0014036278 0.0014865345 0.0012551672 0.0025913129 0.0012860162 0.0013862753 0.0014826783 0.0069313766 0.0012378147 0.0015096711 0.0014942467 0.003462796 0.001760319 0.0013592824 0.0015212395 0.0022057008 0.0013303616 0.0020861612 0.0029537883 0.002271255 0.0057803243 0.0017834557 0.0016793405 0.004058567 0.0024216436 0.0027378455 0.0052308273 0.003133098 0.0023946508 0.0021305066 0.002527687 0.003206364 0.0024814135 0.0022905355 0.0033143356 0.0030868244 0.003366393 0.0026028813 0.004733388 0.0054178494 0.0031292418 0.0027301332 0.004739172 0.0065168436 0.019779969 0.002654939 0.0017487506 0.0028381047 0.0022635427 0.001473038 0.0015867936 0.005869015 0.008128702 0.0023348809 0.0016272828 0.006333678 0.0033702492 0.0019724057 0.0026009532 0.002658795 0.00428415 0.0026144497 0.002400435 0.002915227 0.003912034 0.0015578726 0.0014479732 0.0019492689 0.0026645793 0.0023907947 0.0019936142 0.002144003 0.004266797 0.0019049235 0.0025469675 0.0034685803 0.0068021966 0.0045502223 0.0017641751 0.004727604 0.0032796303 0.005743691 0.0020649524 0.004039286 0.0023830824 0.0036941634 0.0034473718 0.0033355441 0.0013322897 0.0042822217 0.004259085 0.009387725 0.010652533 0.0025084063 0.0017333261 0.0022808951 0.0019049235 0.0020032546 0.0013631386 0.0019357725 0.00384648 0.0019511969 0.0020553123 0.00383684 0.0023425932 0.0014286926 0.01221619 0.0027069966 0.010542633 0.0014036278 0.0012686637 0.002562392 0.010725799 0.0017583909 0.022166908 0.0018721465 0.00736519 0.0012570953 0.0011915412 0.0019801178 0.0010758576 0.0012995126 0.0011356275 0.0018393694 0.0013342177 0.0012301024 0.0011009224 0.0018972113 0.001374707 0.0013168651 0.0011741887 0.0017256138 0.0013689228 0.0013631386 0.0013477141 0.0021035138 0.0028284644 0.001376635 0.0015559446 0.0019781897 0.002336809 0.0016292109 0.0012744478 0.002273183 0.0013631386 0.0015347359 0.0018432256 0.002010967 0.0012995126 0.0014942467 0.0016369232 0.003239141 0.0016619879 0.0019743338 0.001569441 0.002273183 0.0021035138 0.002492982 0.0024216436 0.0023927228 0.0014595416 0.0015867936 0.001251311 0.001985902 0.0024717732 0.0016716282 0.0019589092 0.0071916645 0.004135689 0.0029267955 0.0036112568 0.0032680621 0.0014768941 0.002174852 0.0029769249 0.0035283503 0.0042783655 0.0027359175 0.0016812686 0.003298911 0.001922276 0.0024081473 0.0023888666 0.00262409 0.0018470817 0.0017892399 0.0014229084 0.0019049235 0.0013342177 0.0015193115 0.001313009 0.0024871978 0.0020630243 0.0013843472 0.0015347359 0.0019396286 0.0017236859 0.0013265054 0.0012339585 0.0035071415 0.0014132682 0.0015405201 0.0012435989 0.003042479 0.0016292109 0.0014267645 0.0013496422 0.011537513 0.0026703633 0.0015289518 0.004704467 0.0062237782 0.0012262462 0.0014653257 0.001985902 0.005452554 0.0021035138 0.0028650975 0.004546366 0.0058111735 0.0022963197 0.003009702 0.0031408102 0.006782916 0.0023676578 0.0019319163 0.001631139 0.008699408 0.0017873119 0.010750864 0.053191327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017026996 3.7708847e-05 2.0304766e-05 8.702042e-06 9.6689355e-06 1.1602723e-05 1.1602723e-05 1.2569616e-05 7.058323e-05 1.1602723e-05 1.2569616e-05 1.8370978e-05 1.0635829e-05 9.6689355e-06 2.0304766e-05 1.1602723e-05 0.0015847386 3.1907486e-05 4.6410893e-05 2.9006808e-06 2.9006808e-06 1.9337872e-06 1.9337872e-06 3.8675744e-06 4.8344677e-06 2.9006808e-06 5.0278464e-05 2.5139232e-05 9.378867e-05 1.7404083e-05 5.0278464e-05 5.8980506e-05 0.012220568 8.8954206e-05 0.001199915 4.060953e-05 0.0002407565 0.00019821318 0.0036664603 0.0019357209 1.0635829e-05 2.9006808e-06 0.0 3.8675744e-06 8.121906e-05 0.0 9.6689355e-06 0.00010249072 0.021385752 7.928527e-05 0.002051748 9.0887996e-05 0.0023640548 0.0010307085 0.004461247 0.0029035814 7.638459e-05 6.574876e-05 7.7351484e-05 8.8954206e-05 8.025217e-05 0.0002107828 0.000115060335 0.00056176516 0.02062384 0.00033551207 0.0010587485 0.00052115566 0.0028784422 0.00078511756 0.0035011217 0.0020401455 0.0003625851 0.00019918007 0.00021755105 0.00023205446 0.00027943225 0.00067102414 0.00050181773 0.0014358369 0.017245514 0.00050471845 0.0025419632 0.0012850015 0.003634553 0.0015499304 0.006674466 0.0038192295 0.00029296876 0.0001643719 0.00021755105 0.00018854425 0.00022625309 0.0003142404 0.00028716738 0.0006574876 0.013426284 0.0005898051 0.0030196086 0.0016756265 0.0038569383 0.001599242 0.005016244 0.002917118 0.00074354117 0.0003567837 0.00070003094 0.0008711711 0.0013420483 0.000390625 0.00035098236 0.0047281096 0.017568456 0.0018293626 0.0019028465 0.013349899 0.00196086 0.0016959313 0.0021755106 0.0021397355 0.0018438661 0.0016359839 0.0032719679 0.003424737 0.0054571475 0.0018225943 0.0016968983 0.015451926 0.011252707 0.0011506033 0.00092821784 0.0013546179 0.0025245592 0.0012695312 0.0012211866 0.001607944 0.0039304225 0.0009030786 0.0013120746 0.001290803 0.0025429302 0.0006333153 0.0016147123 0.008047455 0.077675395 0.011855082 0.0088954205 0.010050858 0.032515664 0.01461653 0.011497332 0.015899599 0.048864868 0.0038849784 0.0072188275 0.009007581 0.018189201 0.006062423 0.020475905 0.057745785 0.025674893 0.0054146037 0.0040261447 0.006432743 0.008949567 0.009083965 0.0048218984 0.007832805 0.014880492 0.0017984221 0.0019376547 0.0035765392 0.008313351 0.0038675743 0.007872447 0.014229773 0.015779704 0.013598391 0.013750194 0.014533377 0.014068302 0.013323793 0.013880724 0.0138343135 0.013792736 0.013584855 0.013565517 0.013839148 0.013503635 0.013492033 0.013595491 0.013639968 2234.0 12.122202 27081.0 0.07071379 0.0017724604 0.003988036 0.002289428 0.007274473 0.003729552 0.0022155754 0.008308408 0.004024962 0.002584838 0.0020309442 0.0020309442 0.0038034045 0.005317381 0.008086851 0.0030648794 0.018020013 0.01203796 0.012407223 0.010191647 0.012222592 0.00878845 0.00849304 0.009822384 0.011631771 0.009342344 0.008825376 0.0076437355 0.009822384 0.011188656 0.010634762 0.014179683 0.017798457 0.018389277 0.0051327497 0.015250545 0.011188656 0.011225582 0.0096008275 0.006388243 0.0064620953 0.011520993 0.002141723 0.0029171745 0.008825376 0.00601898 0.00720062 0.0052066026 0.011373288 0.0027694693 0.0096377535 0.01115173 0.015065913 0.0064990213 0.0074960305 0.008086851 0.006277464 0.0029541007 0.0026956168 0.002141723 0.0036556995 0.0020678705 0.0022525017 0.0066098003 0.0050958237 0.033085927 0.0063513163 0.020383295 0.01776153 0.05642332 0.0059451275 0.006277464 0.007828367 0.023263542 0.0040988144 0.003138732 0.027842399 0.011373288 0.024149774 0.032310475 0.013219601 0.0020309442 0.029614858 0.019423211 0.038107898 0.010819393 0.0094531225 0.006277464 0.0077914405 0.006129759 0.0028802482 0.0048373397 0.0028802482 0.003988036 0.0022155754 0.0025109856 6.0580263 1.0 1.0 7.0 6.0 518656.0 532480.0 1.0 0.0 254.0 1.0 1.0 0.0 0.0 0.0 1543333900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 14.0 16.0 5.0 1.0 5.0 1.0 237568.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -237568.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.715941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0998964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6133223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4492555 0.0 7.612047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -237492.0 0.0 163700.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -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 -1.0 -1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 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 0.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 -2.0 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 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 -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 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 -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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -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 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 -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 -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 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 2.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 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 -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 -2.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 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 1.0 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 -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 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 -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 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 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 325876.0 163700.0 352256.0 0.0 0.0 0.0 0.0 13316.0 516096.0 112.0 316464.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 316576.0 0.0 0.0 1096.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.0062680463 0.003951803 0.0039130324 0.0039066374 0.0039558 0.0038960453 0.0039006418 0.0039054381 0.0039667916 0.0038824556 0.003860672 0.003918228 0.003952802 0.0038864524 0.003864669 0.003918228 0.0039110337 0.0038824556 0.0039114337 0.0038834547 0.0038946462 0.003943609 0.0039086356 0.0038846538 0.003904239 0.0038666676 0.0039222254 0.003906437 0.003921426 0.003912033 0.0038520787 0.003875261 0.0038994427 0.003877859 0.003881856 0.0039048386 0.0038852533 0.0038814563 0.0038732626 0.003909635 0.0038942466 0.0039074365 0.0038876517 0.0038992427 0.0038700649 0.003880457 0.0038762602 0.0039040393 0.0038718635 0.0038574745 0.003893647 0.003920627 0.003860672 0.0038562755 0.0038774593 0.003862071 0.0039272215 0.0038994427 0.0039432095 0.0038756607 0.0038237001 0.003921226 0.003880457 0.0039072367 0.004088499 0.0038868522 0.003918228 0.0038496803 0.003900242 0.0039855773 0.003917429 0.0038722632 0.0038772596 0.003897444 0.003848881 0.0038548764 0.0039420105 0.003926422 0.0038914487 0.0039204266 0.0039494047 0.0039540012 0.0039130324 0.0039426098 0.003862071 0.0039312188 0.003953002 0.0039773835 0.003917629 0.0039198273 0.003885653 0.0038960453 0.0038538773 0.00383709 0.0039284206 0.003930619 0.0038718635 0.0039086356 0.0039420105 0.003910634 0.003930419 0.003971588 0.0039098347 0.003899043 0.0039196275 0.0039458075 0.0039286204 0.0038960453 0.0039100344 0.0039314185 0.0039026402 0.003921826 0.00392922 0.00396899 0.0039575985 0.003962395 0.0039915727 0.0040303436 0.003920627 0.0038750612 0.003950404 0.0038414865 0.0039142314 0.003825299 0.0039028402 0.0039350158 0.003912633 0.0039074365 0.0039577982 0.0038982437 0.0038702649 0.003946207 0.0039216257 0.003921426 0.0038930476 0.0038560755 0.003884454 0.0039591976 0.003875461 0.00400836 0.0038744616 0.0039006418 0.0038996425 0.0038384888 0.0038944464 0.0038860529 0.0039220257 0.003887252 0.003887252 0.0038652685 0.003830295 0.0039072367 0.0038938469 0.0038770596 0.003793723 0.0038982437 0.0038227008 0.0038474821 0.0038782586 0.0039004418 0.003921826 0.003868666 0.003856675 0.0038426856 0.0038668674 0.0038796577 0.0038524782 0.003869865 0.003897444 0.0038612715 0.00390304 0.0039072367 0.0038938469 0.0038932473 0.0039575985 0.0039020407 0.0038820559 0.0038984434 0.003891049 0.0038830552 0.0038115093 0.0038336925 0.0038650688 0.0038810566 0.003893647 0.0038892503 0.0038276971 0.0038742619 0.0038654683 0.0038432851 0.0038642692 0.0039098347 0.003918628 0.003868666 0.0038736623 0.0038928476 0.0038688658 0.0039086356 0.0038954457 0.003977783 0.0039152307 0.0038902496 0.0038624706 0.0038508794 0.003897444 0.0038798575 0.0039204266 0.0039104344 0.003893647 0.0038984434 0.0038101105 0.0038548764 0.0038868522 0.0038624706 0.0038728628 0.0038518787 0.003888451 0.00386347 0.003856675 0.0038826554 0.0038692656 0.0038694653 0.003904239 0.0038692656 0.0038874517 0.0038428856 0.0038446842 0.0038482815 0.0038690658 0.0039118333 0.0038824556 0.003869865 0.0040231487 0.0038828552 0.003933217 0.0039288206 0.0038490808 0.003866068 0.0038840543 0.003910834 0.0038678667 0.003860872 0.0038456835 0.0038700649 0.00387666 0.0038630702 0.003899043 0.003892448 0.003936015 0.0038702649 0.0038708644 0.0038904494 0.0038550764 0.0038544768 0.003917629 0.004249777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005999312 8.896014e-06 1.62927e-05 7.296731e-06 1.5792924e-05 2.338952e-05 2.3989252e-05 1.5393103e-05 2.738773e-05 2.29897e-06 1.4993283e-06 1.5992836e-06 5.897358e-06 3.5983878e-06 5.7974025e-06 5.977322e-05 0.00013423986 3.0986118e-06 2.698791e-06 2.9986566e-06 1.8991492e-06 6.9968655e-07 8.196328e-06 5.7974025e-06 1.359391e-05 7.896462e-06 2.9986566e-07 5.997313e-07 1.4993283e-06 0.0 1.0995075e-06 2.0091e-05 0.00012464415 2.0990597e-06 8.196328e-06 2.7987462e-06 9.495746e-06 3.7982984e-06 2.8287328e-05 1.4393551e-05 2.7987462e-06 2.29897e-06 4.997761e-07 5.997313e-07 1.1994626e-06 8.9959696e-07 8.9959696e-07 1.7991939e-06 0.00031905706 1.1494851e-05 1.0495298e-05 1.169476e-05 6.357152e-05 3.238549e-05 0.00017312245 0.00011105025 1.37938205e-05 6.6969997e-06 6.8969102e-06 8.496194e-06 1.20945815e-05 9.795612e-06 1.0695208e-05 1.7492164e-05 0.00043830363 1.759212e-05 3.428464e-05 3.1685806e-05 5.2176623e-05 3.0086521e-05 0.000176321 0.00011135011 3.268536e-05 3.8782626e-05 1.3393999e-05 1.1394895e-05 1.8891536e-05 5.5974924e-06 2.5988356e-06 8.396239e-06 0.000209806 1.5393103e-05 1.0895119e-05 1.1894671e-05 2.049082e-05 1.4393551e-05 1.589288e-05 1.609279e-05 1.7092343e-05 4.1981193e-06 7.096821e-06 8.596149e-06 1.4893328e-05 8.896014e-06 1.0995074e-05 2.278979e-05 8.6961045e-05 2.9986566e-06 3.8982535e-06 2.9986566e-06 1.4593462e-05 4.1981193e-06 6.0972684e-06 1.8091894e-05 1.839176e-05 3.1985671e-06 2.9986566e-06 4.997761e-06 9.595701e-06 4.59794e-06 6.1972237e-06 1.4893328e-05 0.00054405624 9.5257325e-05 4.038191e-05 9.855584e-05 0.0001714232 0.00014343574 7.8364894e-05 0.00014663431 0.00018511707 2.2290014e-05 2.738773e-05 2.2090104e-05 8.466207e-05 4.058182e-05 0.00011974636 0.00022709827 0.0005395583 0.00012564371 9.835594e-05 0.00013423986 0.00021610319 0.000176321 0.00011984631 0.00020420851 0.00022130086 3.7083388e-05 3.6283745e-05 4.0281953e-05 0.00010695209 4.6679088e-05 0.00011974636 0.00023389522 0.06187718 0.06210388 0.062012017 0.06187758 0.062016215 0.062226724 0.06207219 0.062183842 0.061979834 0.061871283 0.062082388 0.061820906 0.06208379 0.061820105 0.06196264 0.061821103 23446.0 5.724985 134228.0 0.010668415 0.010489615 0.010392765 0.009908514 0.010087314 0.010169264 0.010601365 0.009886164 0.010102214 0.010199064 0.010534314 0.009677564 0.009997914 0.009878714 0.010459814 0.010921715 0.009766963 0.009923414 0.009871264 0.009938314 0.010303364 0.010631165 0.009640314 0.010213965 0.009699914 0.009848914 0.010132014 0.0102959145 0.009975564 0.010079864 0.010549215 0.010281014 0.010631165 0.010854665 0.009968114 0.010370415 0.009930864 0.009930864 0.010310815 0.010020264 0.010273565 0.010787616 0.009662664 0.010094764 0.010660965 0.010415114 0.010601365 0.010318264 0.010720565 0.010370415 0.010079864 0.010698215 0.009863813 0.0103555145 0.010705665 0.011279316 0.0101171145 0.010415114 0.0100575145 0.010482165 0.0098414635 0.010318264 0.010400214 0.0099606635 0.009752064 0.011368716 0.010929165 0.011130315 0.011033465 0.013320618 0.010549215 0.010660965 0.010593914 0.011838066 0.010072414 0.009819114 0.011428316 0.010601365 0.011525166 0.012277617 0.010631165 0.009997914 0.011599666 0.011450666 0.012009417 0.010832315 0.010377864 0.009997914 0.010832315 0.010109664 0.009930864 0.009953214 0.010318264 0.009588163 0.010139464 0.009707363 6.5825143 0.0 1.0 0.0 81.0 5003792.0 204800.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1244324500.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 4.196453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 11208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 11208.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.088544145 0.0067079123 0.005487209 0.0040476727 0.0054142647 0.0039300686 0.0037886456 0.0034626287 0.0060975607 0.0032988759 0.0034730493 0.0030547353 0.004549352 0.003328649 0.0029207554 0.0049036536 0.0045642387 0.0025113735 0.0028954484 0.0030413372 0.0034328555 0.0035028225 0.0029430855 0.0029237329 0.003328649 0.0029133123 0.0025872951 0.0036382908 0.003553437 0.0026647055 0.0029371309 0.002764446 0.004327541 0.0027436046 0.008364794 0.0027227635 0.012370784 0.0026170684 0.0020841274 0.002919267 0.002636421 0.002751048 0.0027212747 0.0031634076 0.0027361615 0.0028984256 0.0033167398 0.00324975 0.0038571241 0.0036665753 0.0031812715 0.0044987374 0.003385218 0.0036516888 0.0030011432 0.0030577125 0.0032705911 0.0030740877 0.00292671 0.004320098 0.0031842487 0.0031321456 0.004546375 0.00456275 0.0037752476 0.0034819813 0.006626036 0.0048694145 0.0045210677 0.0045433976 0.0035102658 0.003121725 0.0033718203 0.0032944097 0.0024682023 0.0031425662 0.0035340844 0.0040283203 0.0032586819 0.008403499 0.0054961415 0.003809487 0.0034328555 0.0043989974 0.0033107852 0.0032244427 0.0040938216 0.003395639 0.003196158 0.0035028225 0.0026140912 0.002957972 0.0031410775 0.0030309164 0.002888005 0.008483887 0.002865675 0.0034373214 0.0027629572 0.0029148008 0.0037484518 0.0048396415 0.0061749713 0.0030711105 0.0042620404 0.003474538 0.004128061 0.0027093654 0.0033584223 0.0029862567 0.0033494902 0.0036129835 0.0037886456 0.0030785538 0.004034275 0.0037008147 0.0064161345 0.0060409917 0.002584318 0.006489079 0.0036933713 0.0024964868 0.0023654844 0.0024220536 0.0030458032 0.0032065788 0.003412014 0.003108327 0.0037812022 0.0032914325 0.0028492997 0.008326088 0.005432129 0.0037216558 0.0028418563 0.0025887839 0.0032616593 0.006439953 0.0028239924 0.01004996 0.003968774 0.00839159 0.0027108542 0.0023252906 0.0031872261 0.0024875547 0.0022597895 0.002618557 0.0034760265 0.0027316953 0.0029073576 0.0023238019 0.0029475514 0.0028180378 0.002474157 0.0025322146 0.0033613995 0.0023833485 0.0025232828 0.0024205649 0.0026602396 0.0030592012 0.0025411467 0.003036871 0.002535192 0.0025887839 0.0024667135 0.002791242 0.0030056094 0.0025590106 0.001966523 0.0029832793 0.0026527962 0.0027168088 0.0030398485 0.0026661942 0.002795708 0.002301472 0.002384837 0.0026617283 0.0030725992 0.002209175 0.0022493687 0.0027674234 0.0029386196 0.0025992044 0.0023967463 0.002566454 0.0026915015 0.002301472 0.0028775844 0.0026915015 0.0050376332 0.0035489711 0.003751429 0.004265018 0.003968774 0.0024786228 0.003324183 0.0036263815 0.0032437954 0.0032036013 0.0028076172 0.0028597203 0.0046714223 0.0025545445 0.0026974562 0.0024101443 0.0027793327 0.0031410775 0.002618557 0.003121725 0.0034313668 0.0023610184 0.0028463225 0.003240818 0.0034864473 0.0032973872 0.0026527962 0.003126191 0.0029237329 0.0022716988 0.002989234 0.0027316953 0.009042135 0.0026751263 0.002663217 0.0025679425 0.0033703316 0.0025798518 0.0025738971 0.0027704006 0.007432891 0.003157453 0.002870141 0.0035043112 0.0036502 0.002411633 0.0026929902 0.002384837 0.003395639 0.0030309164 0.0021362305 0.0025977157 0.0028046397 0.0032006241 0.003218488 0.0029386196 0.0048738807 0.0029311762 0.0032988759 0.0031142817 0.0033971274 0.0026915015 0.0050078603 0.025856577 0.0106870225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028931596 1.1927481e-05 8.945611e-06 4.4728054e-06 4.7709924e-05 3.8018847e-05 1.0436545e-05 1.0436545e-05 7.4546756e-06 3.7273378e-06 2.2364027e-06 3.7273378e-06 2.2364027e-06 1.4909351e-06 4.4728054e-06 2.9818702e-06 0.0056118798 2.3109495e-05 2.161856e-05 8.945611e-06 7.1564886e-05 5.6655535e-05 9.6910786e-05 5.2182728e-05 5.441913e-05 5.2182727e-06 8.200143e-06 1.1182014e-05 8.945611e-06 1.8636689e-05 3.2800574e-05 2.460043e-05 0.0012494036 3.7273378e-06 7.007395e-05 0.0 4.4728054e-06 0.0 0.0 0.00018934876 3.7273378e-06 0.0 7.4546756e-07 1.4909351e-06 0.0 0.0 7.4546756e-07 2.9818702e-06 0.0012881679 4.3982585e-05 2.9818702e-05 2.9818702e-06 4.4728054e-05 7.4546756e-06 1.1182014e-05 3.130964e-05 1.4909351e-05 8.945611e-06 4.4728054e-06 6.709208e-06 8.945611e-06 1.4909351e-06 9.691078e-06 1.1927481e-05 0.0024078602 7.007395e-05 0.0009795444 1.3418416e-05 0.00014685711 7.976503e-05 7.529222e-05 0.0005695372 6.858302e-05 2.087309e-05 2.3854962e-05 1.9382156e-05 2.161856e-05 1.1927481e-05 4.547352e-05 2.6091364e-05 0.0013097865 2.6836831e-05 0.0009489802 2.460043e-05 4.1000716e-05 1.6400287e-05 3.429151e-05 0.0003533516 1.7145754e-05 1.1927481e-05 1.3418416e-05 2.161856e-05 0.000104365456 6.0382874e-05 5.51646e-05 1.4163884e-05 0.0064945132 0.00012449308 0.001425334 7.007395e-05 0.00080137764 0.00051735446 0.00021916746 0.0010526002 0.00015580271 4.323712e-05 3.8764312e-05 6.783755e-05 0.0001446207 0.00010361999 0.00035111522 0.0006038287 0.0036714277 6.560115e-05 0.0027582298 0.0003309876 0.0004979723 0.00033024212 0.0007752863 0.0019687798 6.560115e-05 3.7273378e-05 2.75823e-05 6.709208e-05 4.8455393e-05 8.0510494e-05 0.0002713502 0.0012173485 0.008364146 0.00019680343 0.00050915434 0.0014775167 0.0035737716 0.0035670623 0.0027164838 0.0014148974 0.0003056417 0.000117038406 0.00011927481 0.00016400286 0.00035484254 0.00034664242 0.0026449189 0.006188872 0.004410186 0.00016102099 0.00044429867 0.0007581405 0.0020701634 0.0018353411 0.0011860388 0.0007790136 0.00030265984 0.00011927481 0.00012896588 9.541985e-05 0.0001379115 0.00018487596 0.0013850788 0.0027955032 0.0030936904 8.647424e-05 0.00035409708 0.0012561128 0.0017578125 0.001563991 0.0012538765 0.00064184755 0.00012971135 0.00013642057 0.000120020275 0.0001379115 0.00031458732 0.00028625954 0.0015118083 0.0026225548 0.0037295741 0.00025569537 0.0007678316 0.0012702767 0.00086772424 0.0005911558 0.001079437 0.0009959446 0.0002549499 0.00026687738 0.0002161856 0.00027284113 0.00031458732 0.0003585699 0.00046964455 0.00050244515 0.021152642 0.0033508767 0.0056230617 0.0034619514 0.0050579975 0.004646499 0.0031428912 0.00427302 0.010754115 0.0016937023 0.001114474 0.001481244 0.005260019 0.0023996602 0.003432878 0.0055977157 0.035254654 0.007018577 0.009787244 0.009140178 0.0101264315 0.0109561365 0.008437201 0.010051885 0.021313664 0.0037839934 0.002692629 0.0032822937 0.009433892 0.0050840885 0.008379055 0.016250446 0.040947787 0.038827676 0.037912242 0.039556 0.04056909 0.03674037 0.038619693 0.0375 0.03946356 0.037269652 0.03882395 0.03593228 0.038374435 0.038150795 0.037834715 0.03874493 2995.0 12.101836 36245.0 0.027590012 0.0033108015 0.119878605 0.004000552 0.0061525726 0.0032556215 0.004414402 0.004690302 0.0037522416 0.0033935716 0.0032832115 0.0038901917 0.004524762 0.006538833 0.010484205 0.011974066 0.010456615 0.009270244 0.009546144 0.006897503 0.0073665334 0.0067319633 0.0057663126 0.008111464 0.006676783 0.006456063 0.0109532345 0.0026486411 0.0075596636 0.0076148435 0.004993792 0.005021382 0.0039453716 0.012056835 0.0057387226 0.009628914 0.016029797 0.0058766725 0.007863154 0.008525314 0.0038350117 0.009573734 0.0032832115 0.004441992 0.0060973926 0.007890743 0.0057939026 0.0033108015 0.009656505 0.004773072 0.0078079733 0.013188026 0.0074217133 0.004469582 0.0083873635 0.007863154 0.008111464 0.0035867016 0.0032832115 0.0030073114 0.0038901917 0.0032004414 0.0029521314 0.0033108015 0.005021382 0.019395778 0.0074768933 0.016719548 0.017905919 0.035397984 0.014650296 0.007890743 0.0076424335 0.01980963 0.004800662 0.0056007723 0.014291626 0.014622707 0.020802869 0.022816941 0.014733067 0.0036694717 0.02060974 0.016526418 0.031204304 0.010346254 0.0057939026 0.076976135 0.012774176 0.006594013 0.0030073114 0.0028693613 0.0019588908 0.0031728514 0.0036970617 0.0052145123 5.912217 1.0 32.0 0.0 7.0 671744.0 675840.0 1.0 0.0 190.0 0.0 1.0 0.0 0.0 0.0 1541616800.0 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 -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 8.0 0.0 4.0 0.0 4.0 0.0 155648.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 466944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.784859 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0347295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6326437 0.0 7.8769894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25822.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152272.0 0.0 466316.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 280.0 180964.0 466316.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 160624.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 177320.0 0.0 0.0 812.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.36449113 0.008656176 0.006448094 0.0050805975 0.0060169846 0.0031290175 0.003158376 0.0029683174 0.0073489416 0.002758171 0.002280706 0.0021478194 0.0048271855 0.0020489271 0.0019824838 0.004576864 0.0045305085 0.0023548754 0.0015884592 0.001491112 0.003649748 0.002279161 0.0019438538 0.0014463015 0.0027689873 0.0014354851 0.0013335022 0.001474115 0.0024676744 0.0015575554 0.0013690417 0.0015621909 0.005585876 0.0012207031 0.0013767678 0.0014308494 0.0047143865 0.0017568854 0.0012145224 0.0011975252 0.0017754277 0.0012500618 0.0013427734 0.0021076445 0.0016811709 0.0014092168 0.0014895669 0.0014401206 0.002025749 0.0013010532 0.0013891292 0.0026160132 0.0017692469 0.0015776429 0.001331957 0.0012886917 0.0018032412 0.0019268567 0.0015173804 0.0032170936 0.0018542326 0.0019268567 0.0014354851 0.0016487219 0.0026345556 0.0028524278 0.0036837421 0.0041565713 0.0027998912 0.00562296 0.0028817866 0.0020149327 0.0023486947 0.0016796257 0.0015668266 0.0014092168 0.002033475 0.0032665397 0.0018913172 0.0014880217 0.004672666 0.0019392183 0.0015961853 0.0029188711 0.002081376 0.0028400663 0.0037501855 0.0029559557 0.0018217835 0.0032186387 0.001331957 0.001857323 0.001539013 0.0025634766 0.0027643517 0.0025495698 0.0015853689 0.0029992212 0.0016008208 0.0021215512 0.0024923976 0.0043157265 0.0026917276 0.0016904421 0.002894148 0.0030239443 0.0029126904 0.0014401206 0.0028802413 0.002079831 0.0029374135 0.0031429243 0.0024197735 0.001569917 0.0032155483 0.002781349 0.0064604552 0.005939725 0.0020319298 0.0019253115 0.0019593057 0.0017120747 0.0015436487 0.001642541 0.0021107348 0.0027071796 0.0021941753 0.0019484895 0.0030950233 0.0020674693 0.001458663 0.00665824 0.0026129228 0.0040082326 0.001920676 0.001443211 0.0024414062 0.0070352675 0.0023131552 0.016204448 0.0018279643 0.0043404493 0.0017398882 0.0016224536 0.0021632714 0.0013273215 0.0013041436 0.0013860388 0.0015930948 0.0015637361 0.0015359226 0.0013783129 0.0017908796 0.0015436487 0.001483386 0.001458663 0.0015266516 0.0013968552 0.0017507046 0.0013705869 0.0018604134 0.0019902096 0.0015173804 0.0015266516 0.0014772053 0.001443211 0.0013705869 0.0012840561 0.0013103244 0.0013010532 0.0012701494 0.0012871465 0.0012840561 0.0012608782 0.0012902368 0.0015482842 0.0017924248 0.001418488 0.0013025984 0.0013968552 0.001602366 0.0014571177 0.002025749 0.0014926572 0.0017769729 0.0014663889 0.0013396831 0.001387584 0.0014617534 0.0013767678 0.0015575554 0.0015730073 0.004258554 0.0025341178 0.0019299471 0.003379339 0.0027071796 0.0011697117 0.0018325999 0.0027968008 0.0019036788 0.002248257 0.0015575554 0.001387584 0.0024908525 0.0012794205 0.0015915496 0.0014571177 0.0017182556 0.0015575554 0.0014849312 0.0016178179 0.0013690417 0.001251607 0.0012500618 0.0013937649 0.0021756329 0.0021679068 0.0012052512 0.0020504722 0.0015405583 0.0015853689 0.0012546974 0.0013984004 0.002263709 0.0013288667 0.0013489542 0.0013103244 0.0015158352 0.0013072339 0.0014092168 0.001259333 0.006203953 0.0019160403 0.0012686042 0.003037851 0.0028122528 0.0013134148 0.0013736773 0.00139531 0.002319336 0.0016888969 0.0012825109 0.0016379055 0.0022436215 0.001322686 0.0020427462 0.0020875568 0.0032510879 0.0018743201 0.0016688093 0.0021138252 0.003666745 0.0021509097 0.01048414 0.05024507 0.1172022 3.482196e-05 2.0893176e-05 7.7382134e-07 6.1905707e-06 0.0 7.7382134e-07 0.0 1.5476427e-06 3.0952854e-06 3.0952854e-06 0.0 0.0 0.0 7.7382134e-07 0.0 0.011979528 0.00019732444 0.00018649094 0.0002824448 3.8691064e-06 0.0 0.0 0.0 1.702407e-05 7.7382134e-07 0.0 0.0 0.0 0.0 0.0 1.0833498e-05 0.017267048 0.000290183 0.00031185 0.0006314382 0.00011375173 5.5715136e-05 0.00013928783 6.732246e-05 3.1726675e-05 1.160732e-05 1.4702605e-05 2.0119354e-05 1.6250247e-05 9.285855e-06 9.285855e-06 2.7857568e-05 0.028670853 0.00028708772 0.00022982493 0.00039774415 0.00031494527 0.00028554007 0.00034589812 0.00072042766 0.00074132084 4.565546e-05 8.512035e-06 5.416749e-06 4.2560172e-05 1.160732e-05 2.6309925e-05 0.0011468031 0.023701373 0.00018649094 0.00023446787 0.00023911078 0.00020583648 0.00037685098 0.00042947082 0.0004139944 0.0005424487 0.0001888124 0.00014393077 0.00015553809 0.0001926815 0.00010601352 0.00012226377 0.0012868649 0.017780092 0.00059429475 0.00020196737 0.00021821761 0.00022440818 0.00028167095 0.00026774217 0.00033274316 0.0004975671 0.000320362 0.00021976525 0.00017256216 0.00016791922 0.00011143027 8.4346524e-05 0.0007119156 0.0074039223 0.0002321464 0.00019500297 0.00018571712 0.00019809826 0.00022053908 0.00015166898 0.00017024069 0.00015863337 0.00013154962 7.97036e-05 0.00010369206 7.119156e-05 5.9584243e-05 4.642928e-05 0.00010059677 0.023458393 0.0009990033 0.00074983283 0.000515365 0.0005439964 0.00042560173 0.0011112074 0.00080090505 0.00074209465 0.00095644314 0.00058500894 0.00041863733 0.00036833895 0.00046970954 0.00032345732 0.00081251236 0.014615937 0.0005517346 0.0015948458 0.00062060467 0.0008968589 0.00065774814 0.004118277 0.0021798545 0.0004906027 0.00045655458 0.00042328026 0.00031726673 0.0003126238 0.0003884583 0.0002615516 0.0022247364 0.0152752325 0.0005873304 0.0020591386 0.00082257204 0.0015422258 0.001130553 0.005443833 0.0029428424 0.0006136403 0.0005409011 0.0005045315 0.0004356614 0.00043720903 0.00029327828 0.00042482791 0.0033963018 0.012651978 0.000870549 0.0006631649 0.0006028068 0.00082876266 0.0007598925 0.0013301988 0.0010222179 0.0006399502 0.00047976922 0.00044494725 0.0004642928 0.00072042766 0.00046042367 0.00057572307 0.006011044 0.017821878 0.0009045971 0.001589429 0.0012172209 0.0018037775 0.0014021642 0.0035239824 0.0022022955 0.0013247821 0.001277579 0.00094251434 0.00090924004 0.00087596575 0.0011220409 0.00096727663 0.0064892657 0.034242366 0.0029026037 0.0026356354 0.002651112 0.00371589 0.0032252872 0.004054824 0.003750712 0.004157742 0.0026696834 0.0023106304 0.0029397472 0.0027780186 0.0025690868 0.002910342 0.01440391 0.043334767 0.0088749565 0.0065805763 0.0060992595 0.013066746 0.012542096 0.005773481 0.009554372 0.024457397 0.0047481675 0.0040989313 0.0051165065 0.010554923 0.005201627 0.008485724 0.02326958 0.03203775 0.006934213 0.00538657 0.0056055617 0.010274026 0.010798677 0.005530501 0.009062221 0.017652411 0.004174766 0.0046909046 0.0043101846 0.009498657 0.005434547 0.007970359 0.020702042 0.009751696 0.008817694 0.008388997 0.008580904 0.008645905 0.008296139 0.008625013 0.008992578 0.0088138245 0.008601798 0.008580904 0.009092401 0.008536797 0.008812278 0.008901266 0.009607766 1621.0 15.581739 25258.0 0.08599256 0.002098345 0.00502811 0.0015044739 0.0037215932 0.009303983 0.0019795708 0.0040383246 0.0022171193 0.0021775279 0.0020191623 0.0019795708 0.00391955 0.0030485392 0.006770132 0.001900388 0.005978304 0.0030089477 0.004275873 0.0030485392 0.0041175075 0.0018212051 0.002375485 0.0021775279 0.0020191623 0.003800776 0.0035236361 0.005226067 0.0028109907 0.004948927 0.0019795708 0.0024150764 0.0023358937 0.010293769 0.00475097 0.009383165 0.006532584 0.009699897 0.0072848205 0.008591337 0.004948927 0.009660305 0.0038799588 0.002375485 0.0072056376 0.0070472723 0.0045926045 0.0042362814 0.0091456175 0.0030881304 0.006374218 0.010610499 0.009026843 0.0049885185 0.006057487 0.007997466 0.0035632276 0.0055427984 0.0024942593 0.0035632276 0.0025338507 0.00419669 0.0038403673 0.007601552 0.0035632276 0.041729353 0.0087101115 0.018964289 0.03020825 0.0737984 0.012906802 0.0109668225 0.014213319 0.03963101 0.00391955 0.0053844326 0.03440494 0.016628396 0.042323224 0.04386729 0.016707579 0.0034444532 0.042362817 0.030841714 0.053250454 0.021933645 0.0062554437 0.009185209 0.0077599175 0.008828886 0.0029693563 0.0021775279 0.0016232481 0.0015044739 0.0026526249 0.0026130334 5.68404 1.0 0.0 0.0 4.0 647168.0 667648.0 0.0 0.0 172.0 0.0 1.0 0.0 0.0 0.0 1262649300.0 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 167936.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167936.0 0.0 421888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.762712 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.113548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7297134 0.0 5.1881323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -164704.0 0.0 420270.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 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 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 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 -1.0 -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 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 184152.0 420270.0 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 0.0 716.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.056664463 0.008291628 0.006171357 0.0056506065 0.0057541355 0.004959034 0.004200167 0.005408349 0.0050408216 0.0056216186 0.003748781 0.0044569187 0.0049517867 0.0031886897 0.004325437 0.004634988 0.005042892 0.0037570633 0.0049372925 0.0041556493 0.0043513193 0.0031804075 0.004105956 0.0038481688 0.0050718803 0.003339842 0.003178337 0.0029215852 0.004139085 0.0034526882 0.0037943337 0.003785016 0.0061672158 0.0038191807 0.0034889234 0.003017867 0.0048907045 0.0041722143 0.0038502393 0.0037187575 0.004727129 0.003895792 0.00333363 0.0030996548 0.0043740952 0.0037156518 0.0037280752 0.003580029 0.0055067013 0.0039485916 0.0031017254 0.0028977734 0.0036804518 0.003082055 0.0026927863 0.0028584325 0.0041618613 0.0033253478 0.003519982 0.0033388066 0.004013815 0.0032197484 0.0035023822 0.0034537236 0.0065999664 0.0039465213 0.0036204052 0.003222854 0.004156685 0.0032238895 0.0035396526 0.0030789492 0.005005622 0.0037839809 0.0037125458 0.0035852054 0.0041297674 0.003128643 0.0035520762 0.0034609707 0.0051660915 0.003623511 0.0036421462 0.0033357006 0.003928921 0.003390571 0.0033667593 0.0035458643 0.0046432707 0.003645252 0.003809863 0.0035116998 0.004110097 0.0033895357 0.0036897694 0.0037974396 0.0059114993 0.0036328286 0.0033429477 0.0029516085 0.00401485 0.0030530668 0.003272548 0.003035467 0.004967316 0.0031659133 0.0031959368 0.0030561727 0.003576923 0.002834621 0.003082055 0.0031980074 0.004495224 0.0032922185 0.003221819 0.0031421017 0.0038916508 0.0033263832 0.0032922185 0.003626617 0.0046246354 0.0033036068 0.0034816763 0.0031586662 0.0040365914 0.003196972 0.003466147 0.0033460537 0.00865605 0.004593577 0.0040262383 0.0035261938 0.0043709897 0.0034278415 0.003020973 0.003400924 0.0045469888 0.0038284983 0.0029619613 0.0031938662 0.003723934 0.0028035622 0.0028511856 0.002981632 0.005229244 0.0032052542 0.0034847823 0.0030230435 0.0036659578 0.0031773015 0.003307748 0.0032766892 0.0045500947 0.0028429031 0.0030416786 0.0027000334 0.0035168761 0.003222854 0.0029868083 0.0031483134 0.005006657 0.0034102416 0.0032766892 0.0027901034 0.0037725926 0.0030085493 0.003049961 0.0031886897 0.004143226 0.003003373 0.0031193253 0.0030230435 0.0036462874 0.0028366914 0.0029215852 0.0030406434 0.0046784705 0.0031131136 0.0038388511 0.0028511856 0.003562429 0.0031555605 0.0029847377 0.0031276077 0.0042571076 0.0031431369 0.00333363 0.0031731604 0.0036597461 0.0031845486 0.0033232772 0.003355371 0.006709707 0.004051085 0.0037218635 0.0033450183 0.0041245907 0.0032497717 0.003307748 0.0032280306 0.0043316483 0.0033315595 0.0031120784 0.003086196 0.0036473225 0.0029868083 0.0030779138 0.0028014916 0.0042550373 0.0032735833 0.0030789492 0.003003373 0.00370944 0.003003373 0.0029340086 0.0029402203 0.0039724032 0.003103796 0.002727986 0.0026493042 0.0035458643 0.002956785 0.0035883111 0.0028832795 0.004961104 0.0032425248 0.0033864297 0.002974385 0.0038088276 0.0030696315 0.0031949014 0.0028988088 0.0044382834 0.0054394077 0.0034651118 0.0031389957 0.0037964042 0.0030706667 0.0032497717 0.0032031836 0.0046111764 0.0033181007 0.0034247355 0.0030582433 0.0037446397 0.0030789492 0.0033170655 0.0032373483 0.0043513193 0.0030375374 0.0031855837 0.0028698207 0.004013815 0.0030924077 0.004242614 0.0045138593 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099148564 0.062018976 0.06246475 0.055310033 0.06062359 0.059574977 0.054958593 0.05446824 0.060499188 0.053157344 0.052133095 0.052950006 0.056431733 0.05054385 0.05664633 0.05386903 4028.0 5.7028303 22971.0 0.017152062 0.010404423 0.009403161 0.00870663 0.013495277 0.012494015 0.011797484 0.011492752 0.01258108 0.0096643595 0.008576031 0.008663097 0.013887075 0.010578556 0.011797484 0.009969091 0.016673196 0.011928083 0.008663097 0.0074877017 0.009794959 0.008488964 0.0077924337 0.008314832 0.0102738235 0.0084454315 0.009620827 0.00883723 0.011492752 0.008924296 0.009577293 0.009229028 0.018066257 0.0108832875 0.010404423 0.009098428 0.010839755 0.00883723 0.010665622 0.008358365 0.014191807 0.011579818 0.009751426 0.008967829 0.011449219 0.009359627 0.011623351 0.009577293 0.014801271 0.009577293 0.009969091 0.008967829 0.012102216 0.009446694 0.009620827 0.009882025 0.013669409 0.009272561 0.010535022 0.009577293 0.01118802 0.009838492 0.010404423 0.010665622 0.018022723 0.010970354 0.009751426 0.008140699 0.013103479 0.008227766 0.009359627 0.008314832 0.015454268 0.009359627 0.008924296 0.008663097 0.011318619 0.008053632 0.009882025 0.0080101 0.013147011 0.0080101 0.00870663 0.00870663 0.011449219 0.009403161 0.008140699 0.007966567 0.010970354 0.008967829 0.01201515 0.0084454315 0.011362152 0.008967829 0.010056158 0.008750163 6.5545816 0.0 0.0 0.0 14.0 965914.0 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