0.000000 87.806119 95.859724 102.755393 147.755546 158.269011 148.937903 163.291988 172.960081 173.807107 177.960764 185.654511 188.331045 187.995641 193.008385 201.219850 202.314566 206.010240 209.118973 216.630766 223.350750 233.173593 246.911659 249.359957 252.993574 254.523471 251.490932 245.999745 246.332952 244.339729 249.353356 254.716928 259.389198 260.271718 257.618300 252.731467 253.875682 249.230814 246.254447 244.600050 247.620707 244.756595 236.140494 235.755146 234.530646 226.560193 211.847708 220.453626 218.622586 210.785082 200.050326 208.085697 204.606211 198.215034 188.904330 178.025174 165.663579 137.397420 135.111223 121.372846 123.127353 115.814979 118.888901 129.399231 165.487539 178.178725 188.456553 190.855129 198.761882 200.425537 200.480480 199.009112 196.340012 191.306330 187.799369 183.597261 186.514660 187.860461 187.132960 186.996600 184.549064 183.494920 186.976583 187.145040 182.634520 182.119699 190.245027 194.430793 187.622711 199.435241 204.510988 206.626213 207.298404 211.798031 217.884556 217.776482 217.968469 221.705505 227.336089 227.698447 232.671517 235.070571 238.744244 248.956097 250.473608 251.822294 252.143623 252.586729 250.371129 253.558329 258.084567 262.348841 264.355836 265.025698 264.080485 263.601518 264.998862 265.541168 265.456634 263.300494 261.436815 253.889932 250.511152 245.205315 118.704601 0.000000 112.922366 147.856097 170.948601 179.161274 176.852229 192.765225 200.023771 201.319353 207.710151 214.450775 216.431010 215.728962 219.918658 226.321683 227.317828 231.007601 234.478089 242.617129 249.777070 259.489583 273.815744 276.651295 280.304646 281.833591 278.666337 272.887299 272.023553 267.649585 274.287457 280.715230 286.330756 287.596687 285.153756 280.470589 281.517380 277.075954 274.314959 272.656358 275.456952 272.868369 264.707354 264.067624 262.935528 255.292475 240.912219 249.197623 247.649344 240.354370 227.782101 237.634215 235.353028 230.531776 223.825061 215.402597 205.150071 179.828047 174.723195 154.852733 168.588319 169.343279 171.451754 179.214671 207.348517 215.869722 224.587102 225.194048 233.511745 235.209850 235.290713 233.875005 231.731643 227.780389 225.235931 222.288321 224.961198 226.076008 225.195895 224.848833 222.415493 221.858986 224.353278 224.173357 219.918404 219.876625 226.188800 228.486862 221.232922 232.761937 236.912773 238.324974 238.623515 242.870156 248.362873 247.825405 247.953977 251.641076 256.777323 256.755884 261.478614 263.664871 266.551112 276.505434 277.947165 279.281140 279.583313 279.953844 277.431617 280.642286 285.295252 289.544115 291.552966 292.243211 291.308987 290.823427 292.329511 292.919886 292.850672 290.730807 288.904238 281.685585 278.494090 273.392081 122.548122 108.712280 0.000000 131.495742 164.198515 161.926937 152.168566 177.716078 185.910260 186.041673 194.053629 202.057435 204.004639 202.906134 207.531276 214.575601 215.785938 219.902525 223.728364 233.108763 241.675031 252.597632 268.466187 272.237141 276.365306 278.546821 275.724484 269.244996 269.762317 268.689897 273.642705 278.959852 283.594841 284.695076 282.088401 277.424958 278.195312 273.596027 270.876470 269.167275 272.248611 270.054611 261.749058 261.702323 261.176460 254.075687 239.843869 249.146817 248.140004 241.470605 232.376831 239.986512 237.817461 233.346731 227.139077 219.522466 210.474768 190.136721 188.259554 175.948599 179.975737 175.715611 170.682554 172.824110 200.997874 208.099536 217.178350 216.594520 226.285501 228.193507 228.432287 227.355703 225.545244 221.682895 220.359186 217.474860 221.465321 223.809071 223.807945 223.894022 222.335241 220.785549 222.726335 222.818262 218.769697 216.952579 223.351722 226.004519 217.572758 227.722986 232.125828 233.391422 232.815723 237.169850 243.005308 242.113602 241.651794 245.769618 251.225234 250.609763 255.569854 257.878577 260.641905 271.398045 272.860913 274.268747 274.665209 275.319944 272.275009 275.856048 281.124612 285.730630 288.048567 288.773158 287.815385 287.600750 289.254175 289.929190 289.881308 287.800995 286.086615 279.163813 276.443807 271.837446 58.894354 73.096576 60.946305 0.000000 95.521941 105.189610 89.065835 106.293760 118.862122 119.434440 124.443970 133.123584 135.929417 135.425834 141.119603 150.685760 151.973639 156.030001 159.290724 167.585531 175.254595 185.907091 200.709249 203.803488 207.776462 209.751327 206.931340 200.895050 201.819742 201.328597 205.697293 210.617086 214.900529 215.784002 213.060309 208.232058 209.152407 204.420403 201.493931 199.807105 203.010270 200.499881 191.799678 191.874127 191.187043 183.706008 168.927712 178.625304 177.430264 170.284261 161.943630 168.903160 166.231597 161.080812 153.992046 145.691002 136.332016 116.982850 117.761784 107.733633 106.197797 98.272390 82.363108 80.376596 117.386118 128.497335 139.856064 141.464107 150.712129 152.588151 152.802868 151.674609 149.313253 144.294077 142.241252 138.049696 142.908789 146.065143 146.634819 147.114047 146.019022 143.505624 145.972915 146.425097 142.328079 139.006004 147.296832 151.470765 143.368933 153.732910 159.056222 160.923580 160.761970 165.378778 171.725204 171.282680 170.973006 175.089466 180.976422 180.862781 186.035611 188.535543 192.146623 202.921301 204.456118 205.857247 206.245750 206.892916 204.309938 207.750844 212.706461 217.210506 219.425035 220.123686 219.164616 218.866565 220.398826 221.014482 220.949034 218.829135 217.059743 209.825755 206.892366 202.060009 93.844912 86.139484 83.599484 85.472345 0.000000 88.165696 87.462234 93.704025 96.750991 104.353231 112.773891 117.415503 118.907444 118.549893 123.741978 133.358136 134.503822 138.729659 141.982686 150.333702 158.059121 168.826558 183.664601 186.772932 190.751570 192.767949 190.015934 183.981460 185.540675 186.352692 189.926970 194.316735 198.139687 198.871072 196.023816 191.086833 192.036014 187.222274 184.241322 182.527029 185.779769 183.169958 174.225304 174.183363 173.733611 165.898542 147.282928 161.928656 162.091218 156.260775 150.240887 156.772757 156.012593 153.753319 150.997272 147.012596 141.616292 130.269401 129.162012 123.020626 124.461448 120.876220 113.863484 108.737825 128.319169 131.606465 138.301985 136.376571 145.085045 146.799537 146.892729 145.503497 144.241139 142.219010 141.557298 140.752862 144.666787 146.935708 146.895917 146.803189 146.014570 144.091207 143.918516 143.644354 139.709395 137.028590 141.026948 140.403204 124.906506 141.307697 144.449123 144.465610 144.817107 149.555382 155.243330 153.971705 154.359112 158.446889 164.129866 163.957357 169.116232 171.590786 175.117563 185.890892 187.420736 188.821074 189.208129 189.846622 187.264657 190.724832 195.702835 200.248856 202.495183 203.190555 202.224088 201.957124 203.476279 204.089765 204.021930 201.891846 200.138935 192.857004 190.145300 185.588932 112.976599 102.970379 89.946127 103.758236 96.783918 0.000000 75.981727 96.179121 92.106436 91.258648 110.174120 114.940776 113.110910 109.303019 107.911050 99.164933 100.022038 104.622818 111.987924 128.285185 142.818108 156.768437 179.714702 187.881190 193.451413 197.605636 195.391156 185.933420 187.410754 190.189476 194.271663 199.075176 203.257070 204.877199 202.434977 198.447691 198.148531 193.796017 191.962506 190.076730 193.169965 192.893060 185.876949 186.431296 187.539465 182.878933 171.660209 180.446563 180.811259 176.559962 171.330288 176.891665 176.304891 174.261081 171.537325 167.564353 162.118202 150.386275 149.193481 142.476160 144.357979 140.902022 134.199286 130.369441 146.032688 145.250452 151.740737 146.594862 158.530913 160.730394 161.188462 160.582793 160.049789 158.160887 159.747679 158.927960 163.816182 166.993281 167.605517 167.807627 167.077779 165.299995 165.349780 165.267898 161.838622 159.087617 162.641917 163.137086 153.642419 159.911422 162.535095 162.325457 159.556168 162.999737 167.649282 164.889096 163.438712 167.831115 172.108589 168.894062 173.223969 174.914634 174.019767 186.041596 187.242273 188.801273 189.388666 190.550582 184.712466 189.503457 197.112292 202.755657 206.033731 206.920068 205.925265 206.523468 208.903091 209.956306 210.013972 208.157398 206.849732 201.633477 200.511202 197.583107 127.225532 124.241376 103.767798 111.214503 119.660498 99.561769 0.000000 92.780601 106.470638 99.574339 111.940094 126.456253 129.407284 127.414609 135.766020 151.331304 153.381433 158.624218 162.264017 173.045191 183.775740 196.598034 214.700363 219.849114 224.712031 227.838483 225.439489 217.781177 219.289767 220.867311 224.786326 229.388473 233.395509 234.568639 231.870200 227.385382 227.660350 222.919569 220.349870 218.579920 222.015263 220.633410 212.324725 213.223806 213.732241 207.829780 194.923048 204.562820 204.413936 199.008572 193.085777 199.046200 197.835878 194.881603 191.036716 186.049099 179.860908 167.350882 166.760058 159.846370 160.717200 156.340187 147.734628 142.764697 158.341132 155.795475 163.082551 156.338788 170.757279 173.347149 174.098926 174.123983 173.868038 171.390711 174.189565 172.939951 178.808977 182.901420 184.166072 184.714138 184.263774 182.136886 182.432789 182.633395 179.153340 175.864235 180.112982 181.948324 172.406472 177.456018 181.921169 182.465841 179.040982 183.580783 189.981970 188.276930 185.840425 191.186089 197.235905 195.210145 200.744964 203.317494 205.949572 217.956975 219.461877 220.986019 221.531126 222.639377 218.805139 222.929248 229.114763 234.220092 236.972010 237.760407 236.776197 236.938178 238.889414 239.723999 239.718522 237.721474 236.202829 229.978265 228.116723 224.407698 135.502755 134.077509 123.238447 122.365566 119.825426 113.682300 86.703738 0.000000 88.896016 93.770862 97.965008 105.237880 111.954025 113.283022 125.952483 150.159220 152.600503 158.279048 160.694022 169.864756 179.654561 192.601664 209.538635 213.936855 218.789671 221.848464 219.538813 212.176720 214.018915 215.978756 219.519671 223.812992 227.550084 228.581304 225.741615 221.121591 221.437041 216.466651 213.627062 211.887450 215.628626 214.112297 205.197041 206.719343 207.419459 201.527429 188.730138 198.560397 198.497424 193.075212 187.940998 193.572890 192.524306 189.843574 186.567336 182.283921 176.974606 167.184826 166.879762 161.644217 161.891842 157.813207 149.057879 140.387792 150.091110 142.773908 150.877622 143.744664 158.486789 161.123981 161.911359 162.012870 162.139906 160.348660 164.735212 164.076805 170.791452 175.671069 177.505456 178.262039 178.307069 175.926854 175.469196 175.757544 172.437941 168.511098 171.788308 173.597201 163.271003 164.586754 170.429251 171.035760 165.108625 171.307903 178.936831 177.558808 174.179667 180.293949 187.459799 185.678975 191.887722 194.938993 199.116060 211.604026 213.259181 214.813897 215.399650 216.665709 213.383286 217.432789 223.370232 228.441378 231.138263 231.910780 230.920941 231.043935 232.935453 233.742211 233.727218 231.704366 230.176258 223.816499 221.998496 218.328612 147.245635 143.410842 133.507416 137.008714 124.947179 111.684402 102.468563 90.970803 0.000000 70.959528 95.886913 92.199291 85.813191 86.518590 99.173370 136.552979 138.470777 147.186207 148.865628 159.405492 171.590248 186.324083 205.646263 211.588669 217.019463 220.831329 218.736992 210.230413 212.204166 215.077576 218.627358 222.939297 226.693541 227.992760 225.249945 220.922427 220.808770 215.944940 213.467396 211.661772 215.406634 214.680837 206.384639 208.081182 209.398098 204.527350 193.274479 202.392419 202.776526 198.352664 193.948614 199.137410 198.602412 196.679901 194.328509 190.894133 186.228144 177.232274 176.517411 171.653184 172.468974 169.010939 161.759167 155.206178 162.813530 155.374544 160.688412 150.611070 166.764870 169.583839 170.507977 170.903173 171.515346 170.287436 174.976783 174.988026 181.284669 185.773666 187.331854 187.918048 187.813643 185.717632 185.049225 185.164802 182.008391 178.512121 180.990202 181.845888 172.423681 173.916958 176.932961 176.519262 170.797052 174.650424 181.194030 178.038148 173.274117 180.282564 186.959628 183.143041 189.603381 192.596505 195.557556 208.730900 210.320743 211.948405 212.625443 214.148439 209.891431 214.400911 221.201327 226.659267 229.710923 230.546960 229.544797 229.967605 232.150066 233.106581 233.133716 231.200718 229.831487 224.172516 222.971756 219.946597 193.000289 189.614053 178.546458 182.488661 177.457048 155.744243 140.479891 140.753277 115.867156 0.000000 114.246210 130.472744 132.980636 119.656807 137.414022 182.296443 187.509200 194.181586 195.551311 205.864836 218.339526 233.094954 252.220927 258.049584 263.485356 267.293147 265.208819 256.744864 258.721248 261.553988 265.106439 269.411976 273.160050 274.451268 271.699327 267.363464 267.250936 262.364470 259.861577 258.061924 261.840938 261.107590 252.770468 254.544695 255.852761 251.000586 240.008964 248.820487 249.115347 244.578043 240.151878 245.307164 244.652198 242.550347 239.983370 236.377777 231.634581 222.765107 222.165503 217.320000 218.029289 214.511383 207.104924 200.305834 204.512888 193.604475 198.234118 184.328901 204.372348 207.776841 209.141495 210.482682 211.797914 210.353060 216.939570 217.036990 224.228152 229.551024 231.707629 232.567248 232.670058 230.493348 229.845866 230.119919 227.099861 223.374905 225.841483 227.351410 218.653957 218.377854 222.236060 222.157854 216.106664 219.952972 226.998323 224.588543 218.952870 226.090016 232.943791 229.015610 235.608153 238.677409 241.817720 255.101020 256.713756 258.349082 259.035621 260.592240 256.407162 260.918959 267.687625 273.141399 276.185865 277.020339 276.017824 276.435347 278.611910 279.565459 279.591684 277.656469 276.285085 270.613010 269.399295 266.356711 206.584335 205.435239 195.988802 196.928579 195.308095 184.090103 162.276035 154.377812 150.224930 123.676599 0.000000 125.904785 146.131134 146.770308 170.868897 208.251713 212.468394 218.275428 219.526326 227.927947 237.987355 251.597382 268.405801 272.719184 277.786724 281.070510 278.911279 271.381191 273.465083 275.898525 279.234421 283.346297 286.924294 287.956472 285.050745 280.442037 280.624871 275.508928 272.584506 270.853286 274.851391 273.534880 264.401016 266.517343 267.556833 262.099360 250.528272 259.529338 259.485976 254.190137 249.816258 254.909988 253.817522 251.079825 247.889039 243.892176 239.213026 232.017270 231.961219 227.931792 227.988218 224.397723 216.463743 207.282270 194.876615 167.710435 169.207774 138.238659 175.455410 181.441842 184.749002 190.261653 194.753997 192.525460 207.657361 208.416936 219.608556 228.660173 233.494832 235.554688 236.706993 234.103474 233.229628 234.163833 231.698826 226.838524 228.978071 232.955920 225.701703 219.396525 227.357527 228.621042 222.197418 226.358013 235.214096 233.983085 227.702394 235.342382 243.518293 240.996577 247.971920 251.459909 256.572558 269.773581 271.540598 273.152386 273.811723 275.325260 272.159916 276.322845 282.367609 287.550698 290.330092 291.113438 290.115127 290.313805 292.265570 293.105157 293.098237 291.088725 289.609539 283.403809 281.815823 278.373976 202.447516 200.345297 192.162042 193.777627 188.119142 177.026193 164.961629 149.820118 134.706743 128.072567 114.074219 0.000000 86.307245 102.090229 140.483863 189.569214 195.359231 201.269495 201.394278 208.873564 219.052894 233.575229 250.266950 254.452109 259.928429 263.638061 261.760360 253.872615 256.292616 259.369735 262.503423 266.382043 269.759501 270.839876 267.811526 263.231485 263.146399 257.747440 254.651261 252.938383 257.435076 256.532183 246.917378 250.203153 252.031307 247.443301 237.425744 245.923113 246.380132 242.076920 238.538871 243.302811 242.930619 241.287381 239.460628 236.669127 232.789020 226.158439 225.590900 222.136880 222.600174 219.533259 212.814863 205.514127 205.986746 193.832634 196.805312 182.473060 201.108877 204.265665 205.443958 206.384944 208.050417 208.152657 215.184511 216.344087 223.390189 228.576498 230.640876 231.396461 231.727829 229.481045 228.023154 228.227219 225.372579 221.470920 222.331024 223.131304 215.065435 209.779590 210.684987 209.373889 196.876080 201.061539 212.124543 210.535698 198.086155 209.414200 219.860782 216.303128 224.616634 228.921050 235.891575 250.382366 252.358407 254.074174 254.868864 256.839654 253.880602 258.251562 264.510210 269.907817 272.845672 273.652230 272.638029 272.981928 275.067164 275.978392 275.989155 274.008677 272.636901 266.786104 265.759739 262.892902 237.906202 235.107685 226.891400 229.365613 222.393235 207.978480 200.694812 189.318416 161.102795 163.362611 167.082721 119.089397 0.000000 86.350774 135.124006 208.078488 217.448410 223.932328 222.724425 230.976386 243.790231 259.836012 278.304377 283.669325 289.635013 293.964010 292.238111 283.452468 285.903455 289.543618 292.767831 296.727868 300.175910 301.490754 298.574233 294.255911 293.828666 288.567370 285.847449 284.080288 288.494186 288.241239 279.449575 282.518388 284.661784 280.789600 271.815863 279.706767 280.416463 276.767713 273.484286 278.032227 277.924319 276.659521 275.225259 272.746945 269.012657 262.157964 261.401558 257.833632 258.515607 255.549030 249.102409 242.419046 245.380785 235.588633 239.042469 226.940141 243.527110 246.379698 247.329128 247.778638 248.969411 248.942208 254.684075 255.649790 262.050912 266.635974 268.268850 268.827553 268.913928 266.845690 265.526376 265.585953 262.698913 259.103950 260.139436 260.391026 252.387215 249.040422 249.477305 248.010384 238.945779 240.946097 248.245784 245.146610 229.323882 242.174092 251.458548 243.829739 253.294301 257.809225 263.818279 279.045880 280.989702 282.778531 283.663515 285.895930 282.181392 286.944747 293.893143 299.600185 302.821079 303.679392 302.656757 303.238724 305.557645 306.588301 306.633223 304.727480 303.475569 298.182019 297.570130 295.137446 301.358908 298.193746 289.581003 292.650140 285.823793 267.958698 262.490246 254.435522 225.596303 213.826891 231.510004 198.660490 150.138884 0.000000 166.479688 260.062173 272.757107 279.627145 277.506907 287.028211 302.321649 319.550296 339.895691 346.578320 352.700730 357.318772 355.568766 346.120966 348.452223 352.374159 355.744905 359.877486 363.475233 364.966559 362.205613 358.092035 357.514461 352.527982 350.196451 348.356667 352.442408 352.515915 344.431239 346.949558 349.077827 345.434425 336.646605 344.338756 345.095440 341.605173 338.272765 342.801102 342.717959 341.478699 340.031125 337.513013 333.697580 326.503408 325.702889 321.913982 322.686682 319.687361 313.212164 306.711350 310.237616 300.614101 304.313671 292.165783 309.131857 312.047984 313.045217 313.597384 314.737246 314.401885 320.075270 320.850475 327.256675 331.846651 333.482278 334.050554 334.071390 332.053750 330.893764 330.948781 328.053235 324.532212 325.855731 326.161513 318.144519 315.864639 316.901041 315.665379 307.635100 310.047899 316.679933 313.450538 302.568505 312.267079 319.616026 312.204829 320.384054 324.083765 327.548458 342.378538 344.107085 345.877659 346.734667 348.827732 344.169266 349.160984 356.641807 362.503280 365.893099 366.785218 365.763768 366.480751 368.936485 370.035651 370.101444 368.245827 367.046298 362.060717 361.568467 359.268777 247.727420 243.739210 235.561914 239.699677 232.371647 207.922498 212.197426 208.460751 179.606851 172.939875 196.964362 178.409893 140.267883 107.835456 0.000000 163.960451 187.981615 195.557050 189.515321 201.011036 223.011369 244.150113 268.961354 278.748323 285.710322 291.505666 289.966334 278.522738 280.865050 286.073757 289.626117 293.980274 297.770171 299.758169 297.290966 293.742305 292.518835 287.978395 286.526167 284.524176 288.216881 289.540538 283.075558 285.040371 287.737187 285.442730 278.643514 285.115478 286.310370 283.937660 281.224034 285.292572 285.681563 285.126762 284.444576 282.591240 279.202535 272.211195 271.133451 267.481672 268.549413 265.821694 259.940060 254.272828 260.043917 253.052910 256.946141 247.320042 261.620375 264.133210 264.827029 264.727624 265.365822 265.146789 269.328576 270.070546 275.623439 279.417639 280.483560 280.776863 280.505785 278.744197 277.621288 277.464690 274.589104 271.467565 272.696176 272.114170 264.468947 263.684715 263.720092 262.089313 255.805116 257.265221 261.185927 256.763667 249.534080 256.168844 260.216374 249.617112 257.037315 259.844226 258.961572 274.311023 275.740953 277.587346 278.531140 280.804656 274.035844 279.828845 288.856886 295.324541 299.298369 300.299014 299.265436 300.467191 303.398003 304.739304 304.875250 303.176436 302.207836 298.337612 298.616560 297.129739 218.082739 212.286088 204.750092 211.409687 204.131659 161.320234 189.906563 194.811342 179.130314 179.966149 196.491031 189.639098 175.366219 163.561795 126.104304 0.000000 87.184247 89.065337 71.295425 110.903686 148.300018 171.172167 207.177244 224.328277 232.638393 240.634173 239.384316 223.964733 226.060674 233.756712 237.760945 242.682186 246.955282 249.960541 248.182292 245.802075 243.382510 239.982196 240.395371 238.108562 240.639369 244.296264 241.066822 241.627645 245.259518 245.400117 242.084289 246.320943 248.272819 247.853476 246.172705 249.447463 250.638957 251.242196 251.841220 251.094011 248.402365 241.666123 240.096754 236.587750 238.226523 235.979340 231.158531 227.013421 236.273491 233.373240 237.502758 231.614250 241.980029 243.897922 244.144141 243.083530 242.955136 242.850383 244.722152 245.385967 249.587053 252.120577 252.284012 252.141211 251.375414 250.062757 249.045525 248.544166 245.719372 243.283972 244.407301 242.402818 235.494662 237.251945 235.873340 233.714357 229.852122 230.319922 230.712895 224.738793 223.794802 226.436927 226.060373 217.694502 218.995059 218.327838 206.423193 220.837283 221.287914 223.141048 224.081874 226.102569 213.965576 221.539949 233.910548 241.551749 246.708712 247.931376 246.881893 249.056438 252.928300 254.748454 255.024744 253.645625 253.111556 251.407530 253.067000 253.045956 211.763234 205.868013 198.546209 205.283346 197.863124 154.763119 184.542471 189.838405 173.633892 177.764686 193.293492 188.014894 177.321921 168.842508 142.711247 79.770027 0.000000 76.221527 81.774089 108.378903 130.656564 154.753631 194.715523 213.787115 222.242088 230.421251 229.072531 212.645695 214.584330 222.882911 227.039305 232.195539 236.686160 239.894481 238.267855 236.087040 233.517630 230.329523 231.005654 228.650735 230.962304 234.995605 232.264534 232.550392 236.375537 236.923217 234.188464 238.048201 240.136974 240.040961 238.560486 241.688613 243.016987 243.818592 244.644615 244.100415 241.551024 234.946191 233.309937 229.881960 231.584738 229.419440 224.758969 220.778269 230.339710 227.884209 232.014067 226.566549 236.439337 238.282145 238.471874 237.289953 237.074422 237.005782 238.603448 239.280177 243.306414 245.676823 245.723718 245.522130 244.694454 243.446975 242.425402 241.873431 239.066931 236.721744 237.794889 235.566995 228.787188 230.817814 229.232874 226.975246 223.416645 223.773697 223.689154 217.274898 217.484823 219.650564 218.814908 210.968395 211.762038 210.794051 198.471732 211.437265 211.704958 213.461205 214.293270 215.964456 203.185831 210.361091 223.262960 231.004855 236.299072 237.553075 236.507158 238.786789 242.795991 244.684335 244.980935 243.648549 243.174294 241.819299 243.703326 243.921898 248.288422 242.387300 235.492310 242.169222 234.918475 192.193412 222.614771 228.346463 215.178835 217.266586 231.930040 226.754672 216.635352 208.542060 183.116197 114.480631 109.051040 0.000000 93.524353 138.362955 165.134568 171.052925 219.461885 241.768630 250.575425 259.437718 258.185179 240.707510 242.251924 251.399635 255.687275 261.033573 265.674840 269.205220 267.815410 266.008881 263.083199 260.303465 261.540054 259.301620 261.046830 265.734511 263.867648 263.818964 267.916221 269.183804 267.505932 270.690450 272.999367 273.461585 272.366166 275.219780 276.783916 277.929598 279.158654 278.984724 276.713851 270.459699 268.726008 265.513800 267.292294 265.276783 260.892997 257.115194 266.677311 264.564079 268.568941 263.482684 272.839817 274.602113 274.731269 273.419270 273.139472 273.175874 274.517761 275.270323 279.085439 281.258776 281.165386 280.887460 279.987015 278.838054 277.773838 277.148598 274.394205 272.168094 273.086418 270.512966 264.030378 266.149008 264.194673 261.804381 258.461010 258.533105 257.825837 251.512572 251.955512 253.630233 251.998966 244.187850 244.172717 242.669759 228.920757 240.322759 240.211850 241.880170 242.622644 243.962508 229.113913 236.699614 250.845058 258.964717 264.666105 265.995561 264.946518 267.558744 271.872051 273.915756 274.258221 273.031916 272.692829 272.010654 274.307483 274.966767 302.340358 296.800992 290.261352 296.373148 289.114705 250.501722 277.197773 281.704641 267.801460 269.579514 284.124140 277.822659 266.370653 257.365026 228.017671 147.653922 165.546806 144.467557 0.000000 158.645978 210.769645 234.583171 271.982697 291.966148 300.851368 310.197705 309.372458 292.592668 294.872679 303.673840 307.644035 312.499998 316.679128 320.098357 318.560646 316.720652 313.620876 310.680408 311.937268 309.590061 311.726770 316.534174 314.671382 314.976558 319.166958 320.616176 319.335327 322.357185 324.715916 325.341048 324.452266 327.187760 328.838338 330.117422 331.526122 331.534510 329.433298 323.544621 321.806803 318.839435 320.563937 318.613315 314.325305 310.469783 319.475906 317.133348 320.936469 315.739867 325.003182 326.747351 326.862869 325.521583 325.290732 325.493071 326.906415 327.788152 331.584480 333.740095 333.634885 333.341943 332.461385 331.321845 330.159624 329.516104 326.799151 324.565134 325.280271 322.568264 316.238819 317.833807 315.511124 312.939766 309.423710 309.182792 308.126914 301.492532 301.744087 303.219943 301.053814 292.259057 291.574153 289.667830 273.169695 287.739157 287.634538 289.546182 290.567347 292.694301 276.705441 286.732075 300.926884 309.329815 315.206301 316.551552 315.481932 318.263007 322.639201 324.720830 325.072617 323.863317 323.575453 322.965972 325.388845 326.171756 260.935729 256.023610 250.725329 255.751533 248.549299 217.882561 239.062525 241.958952 229.424901 230.976617 243.609340 236.385523 225.706192 217.969907 190.596965 138.345761 143.235198 140.389736 109.729556 0.000000 145.253703 181.510649 215.222506 232.490019 243.179540 253.739799 253.430651 235.856300 238.909721 248.490157 252.244480 256.813302 260.767777 264.347310 262.702093 261.054550 257.393845 254.169440 255.891362 253.225738 255.887650 261.697573 260.663597 261.304616 266.151622 268.794571 269.585010 271.476909 274.234068 275.851618 275.839244 278.013466 280.129347 282.101418 284.369314 285.199082 283.775987 279.022846 277.146300 274.915153 276.645161 275.016291 271.282455 267.574292 275.716762 273.600883 276.870854 272.158043 280.316872 281.882860 281.864324 280.235164 279.975944 280.665081 281.770481 283.003070 286.434414 288.249048 287.902332 287.464829 286.519287 285.525151 284.112025 283.331176 280.743388 278.658801 278.768197 275.309670 269.633783 270.356407 266.707650 263.548436 260.082209 258.733953 255.923212 248.525029 249.110265 249.148665 244.397094 233.361935 229.258471 225.382346 198.130606 223.056847 223.831722 226.507512 228.330931 232.891471 220.201890 229.843333 243.916891 252.749892 258.855331 260.236100 259.136085 262.134226 266.756081 268.963527 269.348155 268.198193 268.081986 268.143493 271.262499 272.755653 235.574267 231.102104 227.210150 231.339150 224.193272 200.334038 217.711628 219.667311 209.528212 211.369861 221.587301 214.483406 206.438591 201.181899 180.515851 143.660647 133.431413 135.079904 129.771777 113.172256 0.000000 125.123998 165.236474 191.739908 201.558081 211.120697 209.415563 185.546844 188.589897 201.337294 205.995055 212.113911 217.579118 221.967922 220.957268 219.890415 216.089789 213.469285 215.362207 211.695238 214.447990 221.481239 221.607537 221.387407 227.435177 231.636117 234.890722 235.231777 238.598380 241.471397 242.469776 243.968055 246.661947 249.482006 252.779536 254.577346 253.924378 250.335376 248.254574 246.744090 248.587489 247.359347 244.323730 240.940383 248.525404 246.993293 249.766603 245.851918 252.609701 253.953310 253.767470 251.779027 251.417769 252.565296 253.143653 254.705425 257.636626 258.984219 258.305817 257.679491 256.608203 255.821311 254.182344 253.223153 250.776262 248.929576 248.444179 244.064996 239.144197 239.415090 234.415201 230.401406 227.341053 225.468250 221.104679 208.522832 215.671347 215.415215 211.124628 201.309229 201.119985 199.120250 183.666603 192.956561 192.711775 194.251915 194.842459 195.716573 180.863106 186.443088 201.812194 210.276707 216.353374 217.783751 216.733915 219.635616 224.528324 226.858713 227.281053 226.216506 226.210804 227.278016 231.210435 233.565272 260.666392 256.083900 253.402034 257.260930 250.229992 229.553649 245.803205 247.883697 239.531329 241.394572 250.466611 244.275024 237.753654 233.679829 216.923878 181.802079 172.797763 156.267543 168.854585 164.698486 140.393281 0.000000 131.062794 183.310074 194.796833 208.140340 206.789836 178.694884 176.309033 193.533430 199.350374 207.098303 213.809659 220.152912 220.881860 222.124184 216.598327 217.196454 222.706292 221.285983 218.316655 228.272187 233.184041 230.198440 236.750907 243.897875 250.851503 248.510633 252.685319 257.691569 259.928484 260.446205 263.957799 267.951437 272.564372 275.540666 275.718806 272.918400 270.488963 269.423156 271.608251 270.825196 268.586832 265.867783 273.637708 272.803026 275.546911 272.272382 278.433905 279.688812 279.436236 277.304483 276.756656 277.764868 277.721992 279.262580 281.675103 282.538550 281.515438 280.702352 279.341355 278.933392 277.375272 276.194820 273.928646 272.516916 271.957178 266.643031 262.606283 264.486446 259.701122 256.165988 253.961571 252.023411 246.861028 240.386641 243.291133 241.976837 235.339568 228.683719 224.617479 220.160185 201.868825 194.512693 191.448588 191.933027 191.416083 188.600137 159.739347 165.756607 189.619060 200.199684 208.791014 210.690452 209.652538 214.577127 221.224264 224.449188 225.142196 224.728469 225.407931 230.105270 235.735202 239.957867 269.016401 265.022003 263.882532 266.675031 259.679977 247.111857 258.517476 259.432611 253.465452 255.132487 261.886973 255.578687 250.833962 248.637167 236.347061 212.419099 207.371597 199.288446 200.866054 193.022285 175.117699 125.674737 0.000000 145.689088 158.579639 182.475370 188.223332 168.876922 177.158087 188.706017 190.185139 190.455933 189.502853 195.857344 197.194919 200.810627 191.828116 195.800628 205.429681 205.665475 199.502481 212.304800 222.033493 219.150751 225.395613 235.479565 246.604597 241.946349 246.550001 253.789262 257.565959 256.994328 261.389693 266.695935 272.849749 277.256380 278.537199 277.261926 274.527770 274.533893 276.757687 276.438554 275.069695 272.802930 279.958070 279.741560 282.013722 279.547037 284.392206 285.439322 285.030416 282.562950 281.878735 283.225865 282.547388 284.379416 286.176313 286.464859 285.033541 283.987185 282.406533 282.338887 280.604399 279.174690 277.129719 276.086757 274.960166 268.437834 265.467997 267.571556 261.763827 257.943093 256.321160 253.511275 246.392895 241.952534 243.939004 241.026273 231.382058 225.641439 217.987625 210.976382 188.722781 163.183104 155.957706 155.245261 153.461833 146.465219 95.467374 88.144452 136.210792 153.137416 169.217596 172.190128 171.002190 182.179874 192.084171 197.099974 198.317214 199.158732 201.262783 210.424235 218.118472 224.582982 218.613994 215.006849 214.802781 216.918564 209.937603 202.427640 210.815522 210.980125 206.557152 208.110439 213.349651 206.913141 203.348204 202.469091 193.283325 176.719426 173.592484 168.744486 167.998800 157.439093 148.770428 125.071311 92.838382 0.000000 80.692293 115.305407 123.387927 102.872195 119.804347 131.138171 132.099065 132.004508 132.669059 137.898042 135.769435 136.764729 127.983595 122.718540 136.408506 137.307261 130.962982 147.470753 158.770953 156.118188 163.482590 174.917967 188.492428 182.672938 187.849948 196.127780 200.769894 199.631812 204.526611 210.567921 217.606763 222.837825 224.762730 224.416672 221.510892 222.173370 224.404988 224.359131 223.499635 221.475780 228.214149 228.366280 230.319626 228.355479 232.341217 233.252178 232.740836 230.053392 229.293349 230.892334 229.838416 231.873272 233.303812 233.250225 231.576027 230.390356 228.693432 228.812052 226.946289 225.372033 223.452850 222.612901 221.105887 213.861913 211.511225 213.588282 207.037477 203.012326 201.692852 198.176011 189.644221 186.842362 187.667224 183.491608 171.344054 165.782131 154.882456 145.754888 117.921878 85.856044 90.240770 90.295527 89.547254 87.109928 99.544645 101.111675 109.330096 121.445165 128.533127 130.072155 128.702501 132.608514 139.488602 142.751931 143.422957 142.790305 144.114787 150.495671 158.578838 165.199267 258.253284 254.665873 254.936618 256.897211 249.921914 244.003535 251.684112 251.838614 247.993619 249.551884 254.422864 248.395134 245.319565 244.597173 236.250996 221.035214 218.053130 213.556953 212.889693 204.134287 194.594274 172.563743 141.734606 116.697965 0.000000 110.954091 141.440714 150.138528 157.179935 163.335026 160.565347 153.862435 149.621236 157.029228 156.612122 162.073134 151.255305 159.281476 170.716351 172.171882 155.689189 177.566791 192.512394 189.553807 194.690470 208.286051 223.791795 216.514255 221.825714 231.348180 236.647769 234.967512 240.278782 246.926597 254.635647 260.469947 262.823347 262.904923 259.837910 260.803646 263.119901 263.253794 262.742945 261.005289 267.810096 268.250591 270.205268 268.499189 272.277610 273.158430 272.624412 269.888272 269.043260 270.547585 269.214787 271.228108 272.421515 272.146564 270.314832 269.042987 267.205393 267.510713 265.691338 264.008932 262.184220 261.551515 260.027456 252.326335 250.405115 253.347730 246.987817 243.088609 242.229963 239.062563 230.502302 228.328595 230.060579 226.231253 214.936159 212.245750 203.818126 196.372415 175.994222 146.799521 144.455018 142.088869 137.610383 121.943805 134.934360 131.304946 120.685930 137.521029 144.385700 145.855797 144.169017 147.768483 157.104911 161.279051 162.257567 162.323143 164.416828 174.957977 184.427126 192.637052 258.708457 255.120094 256.043409 257.797351 250.863569 247.083034 253.735839 253.822683 250.730762 252.284950 256.631925 251.030042 248.573839 248.140491 240.971617 227.956271 225.157569 221.344522 221.161305 213.619822 203.082165 184.832526 164.555614 150.236356 109.879367 0.000000 114.328525 150.836328 149.043309 149.056279 141.559554 126.012355 117.647909 131.502808 130.865968 144.241960 130.428968 154.698222 165.241270 167.344144 145.481221 167.804516 186.665524 182.745601 185.549463 201.579229 219.186770 210.071999 215.643321 226.600195 232.649831 230.339188 236.135158 243.480755 251.961902 258.491474 261.339214 261.912622 258.653779 259.926116 262.393317 262.765120 262.691677 261.305606 268.161270 268.946929 270.880781 269.494231 272.981911 273.819625 273.253176 270.447393 269.504374 270.925127 269.262239 271.265044 272.173929 271.633377 269.612638 268.237304 266.236985 266.759220 264.984193 263.175620 261.459804 261.070192 259.502451 251.267789 249.856434 253.712566 247.501437 243.721718 243.370899 240.514092 231.861761 230.412226 232.968649 229.394982 218.801646 218.884745 212.694050 206.930426 192.513800 172.967624 171.423532 170.045075 166.805577 155.961233 161.955658 155.085613 141.997858 138.279193 133.129105 133.096774 132.242388 122.314260 134.149372 138.154171 139.187962 139.105187 141.783086 157.452306 168.571868 178.673494 217.769779 214.046702 215.314935 217.071227 210.205415 206.962417 213.430708 213.606894 210.730287 212.294485 216.566556 211.246203 208.941802 208.484347 201.526147 188.800275 185.902710 182.185845 182.429921 175.404535 163.470894 145.575884 132.397437 120.412737 102.459852 76.422387 0.000000 97.294006 88.200367 92.399986 86.639750 77.175966 80.482013 89.346225 103.492703 112.886633 112.650709 125.496368 132.946831 133.930929 116.347227 131.448854 147.973072 139.482796 139.957835 158.634036 176.555823 165.283000 172.190552 183.685496 189.967930 187.358142 193.421882 201.071694 209.890270 216.713453 219.753726 220.433687 217.067056 218.344501 220.981680 221.490698 221.644265 220.480171 227.461073 228.412702 230.397261 229.129237 232.590448 233.426005 232.857934 230.048665 229.053632 230.366185 228.552965 230.505030 231.291140 230.636011 228.533588 227.115159 225.023436 225.659848 223.946839 222.082096 220.413423 220.155532 218.638291 210.199880 209.013054 213.477509 207.527567 203.873222 203.775901 201.236325 193.016947 191.518202 194.500743 191.275472 181.634734 182.045057 176.821177 171.798598 158.959912 143.102031 142.181699 141.332828 138.827934 130.426821 133.484952 127.923612 119.265546 114.561180 109.008565 109.368548 109.246617 101.071508 104.612036 106.020928 106.211445 104.657947 103.625970 116.429209 127.225095 136.913655 214.949612 210.938684 211.506466 213.705956 206.841962 200.175700 208.443415 208.915821 204.894727 206.501550 211.707488 206.029477 202.827178 201.707567 192.753570 176.051713 172.146895 167.379196 168.321150 160.501204 142.273194 120.151952 115.722047 102.568025 113.828686 115.601209 99.965026 0.000000 58.380183 85.407165 94.251671 107.619350 121.982423 130.705710 133.730284 136.046389 132.287376 134.093577 140.507259 139.122400 128.458253 143.921496 153.220274 139.820260 153.717535 166.312474 180.945120 173.128214 179.818978 188.938673 194.029231 192.464943 197.793272 204.388017 212.037599 217.790611 220.040930 219.776749 216.643174 217.159320 219.842675 220.102836 219.720967 218.190257 225.287680 225.811590 227.915087 226.196185 230.182832 231.098792 230.591213 227.911847 227.035128 228.361009 226.984500 228.886267 230.070664 229.787417 227.949285 226.679300 224.792884 225.139516 223.422160 221.736880 219.895741 219.334672 217.981292 210.318831 208.382873 211.940823 206.034658 202.286395 201.614971 199.005748 191.181580 188.283524 191.325670 188.318255 178.944952 177.220119 171.582236 166.224837 150.394639 134.720941 134.713780 134.477437 132.943066 127.499629 126.231500 124.759517 128.266731 132.037082 133.421192 134.462652 133.699592 132.283861 137.218786 139.380060 139.764240 138.566766 138.541229 144.377354 151.998705 158.342615 337.796011 332.588131 334.536979 337.143840 330.914368 324.166227 332.465197 333.271209 329.381672 330.991126 336.304572 330.962671 327.791358 326.552017 317.609074 300.660846 296.598722 291.436802 293.114354 286.067818 267.829439 240.279293 246.516405 242.013369 243.383285 236.321383 213.384579 180.893375 0.000000 79.860742 116.022193 173.161259 224.332492 244.539172 253.917036 259.918938 257.339380 263.406719 269.830522 269.289132 258.153399 271.282517 282.269937 272.325750 280.334984 293.117776 306.990730 297.573736 304.836544 313.997232 318.750309 317.222426 322.472789 328.879870 336.228299 341.660313 343.579753 342.402782 339.128584 338.146487 342.092788 342.841242 342.950853 342.008323 349.557952 350.286276 352.556581 350.902521 355.023079 355.963083 355.473592 352.833072 351.909866 353.057754 351.602636 353.360501 354.503662 354.182163 352.315771 351.041548 349.068771 349.484665 347.927690 346.255119 344.363718 343.945860 342.799037 335.353579 333.436730 337.344707 331.804403 328.249795 327.659391 325.337979 318.062667 315.169729 318.218275 315.520726 306.818536 305.230067 300.268105 295.377522 280.845011 267.003550 266.328710 266.005938 264.287527 258.309919 255.176506 252.599815 253.075007 252.552197 250.677381 251.865241 251.628309 247.259203 253.048751 255.396022 255.895042 255.077716 254.733622 264.721514 272.964535 280.103180 533.993508 526.404881 531.655279 534.843415 529.917105 525.135667 532.233461 533.421768 530.445802 532.014585 536.928733 532.230509 529.622240 528.664671 521.008501 506.547603 503.088022 498.775233 500.106233 493.838973 478.767556 455.694409 456.255054 451.537913 447.729095 434.525072 415.774917 406.111077 278.051461 0.000000 179.116420 295.835657 399.295918 434.850335 449.965333 459.076432 457.429320 466.369296 472.711798 472.726424 461.333127 472.420705 484.452135 475.803695 480.920496 493.183801 506.380824 494.935792 503.206363 512.389088 516.685031 515.221997 520.403214 526.607525 533.582844 538.583257 540.003698 537.218035 533.590872 529.658118 536.289428 538.173557 539.501461 539.870971 548.199496 549.499606 551.983930 550.666666 554.709308 555.642723 555.148274 552.497108 551.449882 552.341438 550.580408 552.128360 553.052613 552.527225 550.513749 549.180524 546.997783 547.608381 546.321538 544.627094 542.661582 542.607543 541.733507 534.461692 532.774713 537.384789 532.273104 529.005680 528.714693 526.714692 519.912076 517.600489 520.502850 517.995114 509.832607 508.935212 504.440412 499.908820 486.888697 473.623501 472.813097 472.385734 470.476553 464.032926 461.986005 457.722940 453.979506 448.921214 443.390520 444.801541 445.129292 437.604726 444.574900 447.176098 447.821977 447.458648 446.835324 460.546543 469.041081 476.632924 484.496566 478.532184 482.097518 484.701543 478.980814 474.707286 481.641907 482.452114 479.485015 481.056467 485.754061 480.853628 478.335884 477.524848 470.050292 456.041267 452.733847 448.552304 449.565860 443.082727 428.914748 407.000784 403.223607 397.988238 390.448847 372.517779 355.504112 360.445014 259.702344 124.605852 0.000000 178.450920 320.383345 367.537877 387.258280 399.098787 397.899848 409.400950 416.185897 416.645378 404.317701 414.850611 428.646741 420.388720 423.996677 437.036451 451.307315 437.303223 447.031143 457.242588 462.330376 460.247033 465.950701 472.843996 480.698290 486.554333 488.715582 487.430882 483.888038 482.204321 487.143855 488.457384 489.320432 489.082233 496.877812 498.049556 500.348109 499.054991 502.887883 503.786122 503.265209 500.557211 499.522761 500.552760 498.749282 500.445077 501.291962 500.694022 498.630333 497.254317 495.086045 495.738283 494.295579 492.517482 490.694158 490.582379 489.464355 481.680851 480.256870 484.941969 479.580108 476.199370 476.023681 473.890448 466.713112 464.650558 467.589513 464.882045 456.339962 455.810532 451.118757 446.452810 433.520375 419.392015 418.372283 417.784472 415.635640 408.530509 407.192016 401.458779 394.576646 386.128859 377.864347 379.455798 380.210933 370.297067 378.313391 381.185166 381.963110 381.983285 381.248609 398.471753 407.777537 416.366410 449.107598 444.207417 446.662124 448.868795 442.618039 438.758259 445.491514 445.992895 443.044414 444.609464 449.113397 443.979708 441.543380 440.904890 433.651909 420.209968 417.137541 413.146061 413.669283 406.899009 394.281064 373.996173 362.741860 357.141141 342.993395 316.218039 305.287788 333.060153 276.088869 200.572548 137.698380 0.000000 227.130836 300.095498 329.649828 347.521516 346.783053 363.571408 371.531155 372.874092 358.737628 368.854313 386.429590 379.675936 381.328924 396.453046 412.508951 400.355977 407.663493 418.788214 424.486520 422.114470 427.949191 435.195562 443.476052 449.766387 452.327903 451.961788 448.515722 448.217449 452.061297 452.984559 453.494610 452.802448 460.199614 461.249391 463.394364 462.099902 465.760678 466.629634 466.086690 463.331382 462.321259 463.496305 461.705004 463.525961 464.356077 463.742263 461.668225 460.276306 458.151418 458.787526 457.212925 455.399455 453.646892 453.454196 452.142411 444.077908 442.752728 447.247801 441.576806 438.056968 437.882257 435.511105 427.783818 426.026947 428.886967 425.878916 416.666049 416.522476 411.404092 406.427528 393.312210 377.405879 375.936214 375.046025 372.447192 364.119237 363.637179 355.015898 342.239926 326.912236 313.125199 315.187422 316.851393 302.126481 312.750125 316.373405 317.484862 318.435856 317.638030 343.022916 354.626392 365.912692 314.380234 310.423310 311.897480 313.752604 307.041357 303.540519 310.098916 310.330354 307.399023 308.957904 313.291760 307.957532 305.591789 305.103002 298.042172 285.083430 282.228528 278.387695 278.448779 271.453850 260.346637 241.307896 222.389147 218.406058 199.352562 168.453959 169.194201 208.023592 187.860469 164.633175 140.231171 87.731202 0.000000 121.611226 168.336719 195.443128 196.152008 219.404761 228.643576 231.039922 216.131741 223.717757 245.838068 240.986094 240.492741 257.198401 274.826005 264.235523 269.067996 281.222638 287.505709 284.818696 290.783116 298.373152 307.053524 313.749990 316.681010 317.142433 313.779700 314.717408 317.589956 318.170205 318.375168 317.288741 324.335163 325.280531 327.291475 325.998038 329.507947 330.351280 329.789058 326.992351 326.002264 327.301491 325.516848 327.446017 328.256520 327.624201 325.537839 324.130036 322.038718 322.667192 320.979282 319.131860 317.446420 317.187542 315.706041 307.388426 306.166219 310.503512 304.568337 300.932843 300.761831 298.185689 289.988341 288.514107 291.282343 288.010985 278.210602 278.389267 272.878168 267.609900 254.329705 236.614309 234.505103 233.289276 230.192091 220.640673 219.904883 207.101913 186.547571 159.964933 137.259163 140.401506 143.710403 121.561327 136.672000 141.622152 143.328639 145.989681 144.897221 183.291123 197.778808 212.642374 292.184185 288.610671 289.919146 291.557508 284.694173 282.082078 288.193477 288.283004 285.619674 287.170552 291.245369 285.959338 283.828063 283.515759 276.951601 265.010120 262.358280 258.839505 258.789438 251.954813 241.656872 224.572579 205.665069 200.556472 183.681984 159.230289 154.979844 193.668309 184.988579 177.109023 164.307133 137.617295 98.532656 0.000000 105.539889 151.392485 161.913019 191.957636 201.818467 205.337940 191.412049 191.793081 219.666388 216.177695 212.915679 230.889213 249.916116 239.496212 242.474554 255.969421 262.829282 259.701646 265.885499 273.894613 283.020126 290.139658 293.404493 294.386008 290.993088 292.538703 295.071234 295.597345 295.836103 294.716435 301.630557 302.650655 304.597098 303.413989 306.759231 307.576753 306.995113 304.156707 303.141552 304.465348 302.570518 304.540395 305.242346 304.508609 302.350440 300.899397 298.762384 299.467677 297.750459 295.844501 294.228696 294.029286 292.460681 283.861716 282.873714 287.427155 281.426860 277.787715 277.775831 275.196282 266.788588 265.688016 268.566739 265.231930 255.352595 256.315352 251.097005 246.055573 234.014053 217.487431 215.594337 214.418395 211.365115 201.820531 202.798506 191.075258 171.136255 148.770161 131.685312 129.037072 130.582416 110.285817 93.690902 90.532118 88.702046 82.571358 78.396655 129.393401 148.231145 167.569209 362.375058 359.012032 360.156763 361.678107 354.691209 352.484148 358.339329 358.287607 355.721150 357.262904 361.183934 355.775280 353.755835 353.599106 347.328689 336.076163 333.575946 330.293988 330.096020 323.153889 313.490510 298.145820 279.846936 271.272156 256.109171 231.437741 241.970614 269.537175 267.210735 265.068313 256.871829 240.015917 218.102442 178.384181 0.000000 166.274156 183.066332 244.597113 260.190208 266.221378 251.284095 253.240438 284.648211 283.661144 281.277616 299.204233 319.096586 309.699921 313.408869 326.048240 332.854097 329.953379 336.074580 343.997320 353.087335 360.181504 363.451346 364.560628 361.201752 362.959015 365.304258 365.757566 365.908217 364.662621 371.446278 372.430738 374.305947 373.133490 376.372565 377.172252 376.577194 373.709971 372.709692 374.121378 372.246047 374.275386 374.990296 374.268611 372.119210 370.670903 368.571544 369.236261 367.458850 365.559237 363.934763 363.688144 362.036797 353.399391 352.365320 356.695935 350.471788 346.734768 346.687552 343.911636 335.008991 334.220787 337.063485 333.479631 322.936042 324.720345 319.452575 314.347416 303.266067 287.382748 285.801194 284.549427 281.397136 271.074072 276.618034 267.915941 250.565647 240.241489 230.872472 228.634273 228.044232 218.136427 202.626538 198.023482 194.129500 175.896403 197.448328 226.198322 241.914284 256.777823 315.891443 312.732082 313.896537 315.253073 308.157443 306.900079 312.257729 312.070801 309.796850 311.330258 314.978442 309.598456 307.840730 307.888744 302.183246 292.099163 289.798348 286.890675 286.659243 279.909563 270.826874 257.791360 241.865860 230.670667 219.973400 203.216951 209.767761 230.256497 231.615854 232.582629 227.115552 216.290822 203.612068 182.639994 124.677373 0.000000 140.121928 188.485109 205.873203 214.009678 201.623878 190.591980 232.358765 233.635961 228.729909 248.348609 270.130755 261.173583 265.383123 277.772677 284.811444 281.894063 288.111064 296.191307 305.504498 312.806333 316.244837 317.635603 314.248721 316.318011 318.518597 318.970320 319.169035 317.914178 324.601773 325.657792 327.469484 326.399347 329.469709 330.242739 329.627627 326.717338 325.699388 327.154324 325.194557 327.269027 327.907930 327.115250 324.915508 323.437694 321.319455 322.018097 320.204206 318.269746 316.674094 316.461995 314.730141 305.888052 304.976727 309.424968 303.077144 299.301738 299.383818 296.553094 287.265743 286.935843 289.953612 286.264447 275.512268 278.433868 273.609393 268.839383 259.580509 246.007042 244.994743 243.930547 241.043049 231.242158 239.251589 233.437948 220.294676 217.286327 212.727523 211.638716 210.050786 205.354226 199.245249 197.477761 195.876310 187.682297 193.583044 198.145622 212.121956 223.373431 291.322123 288.065339 288.953356 290.459888 283.393090 280.887386 286.819162 286.672716 283.969658 285.504196 289.447742 283.799835 281.699950 281.597636 275.246242 263.966064 261.515404 258.251459 257.845933 250.535324 241.312714 226.551969 207.169815 196.176000 183.442037 163.690424 183.818303 200.783950 203.322762 205.221982 200.203080 189.838825 178.607414 167.446994 115.756014 114.408393 0.000000 149.474314 175.706470 184.985528 168.686592 183.481159 210.817222 211.940941 213.480276 229.608560 249.027926 240.879508 245.595746 256.865602 263.290232 260.839399 266.738874 274.316389 283.081305 289.884514 292.961819 293.952364 290.679268 292.412429 294.632316 294.976852 294.936143 293.497229 300.169025 301.019738 302.842116 301.580286 304.816186 305.613566 305.016774 302.145826 301.189860 302.706453 300.955351 303.037423 303.857510 303.233986 301.154539 299.743433 297.729985 298.285957 296.445587 294.596429 292.921588 292.557276 290.852549 282.377944 281.124280 284.939113 278.459291 274.594049 274.345778 271.285902 261.931070 261.205067 263.792441 259.882693 248.377194 250.442125 244.634193 239.054129 227.918176 210.815539 209.105544 207.483908 203.814413 191.371906 202.580314 195.930047 177.867202 181.107953 179.750217 178.796564 174.809132 176.509181 176.081571 176.709056 175.963243 170.086199 176.701308 186.232951 198.206044 208.342985 222.541793 219.488451 220.218609 221.592422 214.443887 212.399409 217.942919 217.566864 214.970366 216.482267 220.196337 214.265415 212.303192 212.475695 206.570339 196.430288 194.191834 191.336263 190.770003 183.175456 174.556747 163.014634 147.006865 126.775482 127.332745 123.824216 132.528500 138.454689 145.254639 150.026497 147.568719 142.491718 137.724704 133.356148 113.151334 98.636113 85.338852 0.000000 68.309880 92.833944 95.532544 112.517119 135.537916 141.789595 147.803360 161.035559 180.255379 173.463155 178.620985 188.887725 195.092143 192.973059 198.706801 206.051172 214.612988 221.243678 224.225912 225.262315 222.062284 223.902898 225.961348 226.221210 226.044534 224.422142 230.890157 231.649665 233.355473 232.077846 235.160231 235.931205 235.314545 232.400935 231.483073 233.165060 231.492608 233.670107 234.546613 233.975700 231.933931 230.540876 228.604001 229.070774 227.136203 225.319000 223.612717 223.148516 221.314726 212.906692 211.519846 214.714159 207.799343 203.752881 203.327704 199.816304 189.582359 189.334226 191.561558 187.020315 173.568231 177.555841 171.438000 165.381322 157.287847 143.809920 143.527604 142.374824 139.412008 128.575847 144.235981 142.867897 137.071613 141.055026 141.528735 141.593109 139.786097 139.240684 140.031454 140.597434 140.263061 136.686758 138.062165 136.307134 146.015201 153.252214 259.152009 256.314038 257.085635 258.252532 251.049518 250.152481 254.959803 254.313857 252.079405 253.565957 256.858498 250.755818 249.169854 249.730746 244.704694 236.430045 234.454548 232.159434 231.613445 224.483961 216.036252 208.111055 196.222501 180.052032 178.354203 173.953846 179.565546 184.454954 191.265024 195.955582 193.940248 190.038047 186.550102 182.803563 168.331011 155.610789 151.157590 107.896463 0.000000 112.269342 140.037343 145.478708 162.904063 176.991455 184.774441 195.946546 215.556668 209.625609 214.823710 224.722062 230.961928 228.941743 234.647266 241.975250 250.560963 257.226684 260.263769 261.506783 258.328678 260.372556 262.309833 262.555354 262.372248 260.664630 266.922922 267.691405 269.260332 268.067624 270.883994 271.611429 270.962013 267.978059 267.071826 268.913476 267.224963 269.504508 270.352713 269.755318 267.694973 266.288853 264.383379 264.822722 262.799493 260.977938 259.273805 258.776944 256.784736 248.293071 246.929321 249.688167 242.321084 238.115439 237.648593 233.711145 222.366589 223.046548 225.144818 219.875142 203.694930 212.747920 208.511526 204.459126 200.052342 193.252832 193.668997 193.266547 191.284002 183.982638 194.845133 193.643583 189.026452 191.983570 191.984585 192.063743 190.612156 189.130393 189.341479 189.483011 189.113831 185.748727 185.637604 179.087684 187.991620 194.093388 220.037286 217.195112 217.916114 219.105381 211.874899 210.806379 215.729527 215.113920 212.813455 214.305979 217.666952 211.582614 209.942367 210.430636 205.242377 196.682910 194.639303 192.460674 191.805912 184.358011 174.908957 169.230420 158.997969 143.490460 142.349408 138.596394 143.089318 145.609769 153.263308 158.509881 156.939404 153.920658 151.486122 148.862709 136.901855 126.286938 122.976323 94.960201 74.809016 0.000000 102.343660 115.789602 122.131588 135.330720 146.927265 157.364018 176.427608 170.692130 176.286700 185.926673 192.073420 190.141598 195.826995 203.107488 211.654451 218.282507 221.291243 222.498880 219.325973 221.359977 223.284259 223.513641 223.303669 221.579125 227.856754 228.612442 230.195892 228.984159 231.837154 232.570438 231.925423 228.950921 228.046609 229.874528 228.197790 230.469397 231.332089 230.748227 228.697480 227.296939 225.397833 225.827144 223.807406 221.991144 220.279448 219.773723 217.798351 209.322220 207.923019 210.729223 203.402556 199.198118 198.744307 194.883662 183.578546 184.110235 186.512751 181.462121 166.161293 174.136744 169.871250 165.978215 159.328048 155.869525 156.591064 156.570326 155.065218 149.386713 158.423239 157.540415 153.970768 157.042728 157.237420 157.415990 156.073741 154.549719 155.178673 155.466282 155.172328 152.074296 151.728241 145.547293 153.369707 158.719739 181.053697 177.991460 178.993204 180.304299 173.123394 171.895369 177.160624 176.850850 174.554071 176.080746 179.660811 174.075062 172.352019 172.512132 166.930837 157.209471 154.946627 152.201639 151.938375 145.015677 135.657463 124.256846 110.830729 95.141935 83.862469 74.729226 83.501370 92.941376 100.123330 105.112339 102.607481 97.779948 94.573696 92.932572 79.960327 71.896893 64.673141 55.654556 60.572772 60.339415 0.000000 71.677879 90.989345 92.110646 100.190454 115.352716 135.595174 127.881408 133.726576 144.568354 151.152515 148.739104 154.761398 162.500795 171.515368 178.548099 181.810626 183.101894 179.785267 181.827916 183.937385 184.308499 184.354848 182.931564 189.500094 190.456571 192.200160 191.079089 194.090001 194.851920 194.228448 191.300207 190.319687 191.891395 190.027381 192.165307 192.886753 192.171107 190.026271 188.577571 186.539755 187.136830 185.252566 183.361315 181.716104 181.399481 179.595633 170.871526 169.757983 173.727257 167.077022 163.152114 163.086650 159.978134 150.019753 149.883924 152.999113 149.023568 137.412984 141.464410 136.854538 132.352640 123.790524 112.663675 112.488077 111.820360 109.512470 101.325169 109.959125 107.289604 100.845638 103.012443 102.247281 102.322674 100.942386 98.479388 99.838580 100.408584 100.177469 97.101741 97.442458 94.832133 103.725187 110.465350 210.423315 207.636607 209.032934 210.027641 202.747313 203.852193 208.012501 207.568251 206.062005 207.581129 210.578030 205.405899 204.332802 204.819369 200.488224 193.100097 191.213657 189.123050 188.979509 183.059330 174.924443 166.446108 155.866779 143.883437 137.973802 129.286251 130.836726 140.638349 145.486178 148.433647 145.374121 140.130364 134.393441 125.547335 114.150399 93.098724 111.701438 104.872860 98.247867 106.019086 103.911609 0.000000 109.546688 119.497697 117.754968 131.440944 158.600253 150.601260 154.758399 167.325261 175.143507 171.965050 178.474496 187.079796 197.044610 204.947983 208.852759 210.916417 207.422666 210.157540 212.137346 212.658039 213.079209 211.916692 218.448004 219.744473 221.435302 220.653108 223.325371 224.036422 223.374680 220.364257 219.282743 220.788543 218.569907 220.722500 221.132948 220.126928 217.775698 216.211390 214.007116 214.836411 212.970382 210.932313 209.424524 209.351952 207.459671 198.073966 197.555095 202.507545 195.971794 192.163934 192.662181 189.860135 179.653842 180.563335 184.452063 180.811451 170.593652 176.073253 173.011726 169.745471 164.578268 157.232103 157.305956 156.943944 155.016226 148.205580 155.158209 152.324665 145.727564 145.003813 142.582417 142.135025 141.156600 137.198719 132.899593 130.767505 129.818740 125.484699 122.012773 97.047689 112.453280 121.450988 173.701871 171.370248 172.622038 173.222094 165.697315 168.730739 171.598473 170.547651 169.660463 171.138663 173.338823 167.685750 167.435795 168.629349 165.917900 161.765311 160.377243 159.150843 159.011374 153.920011 146.945397 143.252619 137.490127 127.078293 124.814061 120.041915 119.255602 121.831783 128.368254 132.359733 131.064908 129.600297 128.408409 125.315298 117.452829 106.760166 110.932158 99.788314 87.567877 84.255729 95.117731 81.441345 0.000000 80.884914 95.922142 97.176607 119.987176 117.452316 123.367884 132.694208 139.634787 137.633283 143.669602 151.580760 160.976454 168.388353 172.016268 174.163838 170.833793 173.746504 175.438733 175.814198 175.965073 174.378387 180.390058 181.555109 182.902611 182.195621 184.296499 184.911912 184.178218 181.013279 180.012768 181.991440 179.903088 182.338612 182.849046 181.936251 179.651849 178.118851 176.116569 176.706219 174.564311 172.601284 170.993159 170.677392 168.393325 159.085002 158.205308 161.628366 153.683931 149.325320 149.687573 145.917725 130.911118 135.479561 141.657037 137.792493 128.861312 137.947321 137.397153 136.279410 137.068917 136.146753 137.124515 137.388953 136.297269 132.203537 137.888440 137.131663 134.314969 136.153946 135.712893 135.822046 134.760432 132.401858 131.762010 131.355762 130.930228 127.791642 125.846291 114.000243 117.991896 119.939700 170.593597 168.007592 169.852376 170.573617 162.932448 166.562159 169.774627 169.347027 168.634079 170.189964 172.732223 168.248599 167.781682 168.424742 165.159787 159.603208 157.940174 156.379233 156.593624 151.838103 144.002340 137.544091 131.884459 121.702601 119.132547 113.399066 108.042399 105.708843 115.701141 120.988367 120.083961 120.123716 120.833509 119.103679 113.742836 105.314436 109.332950 103.317067 98.932343 94.731935 93.516106 88.669427 78.161987 0.000000 77.692069 88.358802 108.262155 97.928579 110.300102 121.651793 129.347844 126.259729 133.489611 142.722786 153.636052 162.366151 166.867709 169.586183 165.828286 169.274214 171.168057 171.863404 172.688324 171.835976 178.507115 180.237895 181.962555 181.555674 183.980341 184.656722 183.968896 180.902458 179.684712 180.997193 178.340342 180.456516 180.526492 179.202659 176.625183 174.937913 172.550020 173.619142 171.804411 169.603312 168.201818 168.418520 166.539487 156.331687 156.271247 163.100084 157.114245 153.443324 154.773132 152.865399 144.027530 143.517871 149.530859 146.909573 139.863431 144.925713 143.572296 141.618483 138.488432 134.420362 135.003850 135.087135 133.779885 129.008908 133.408504 132.112267 129.334403 130.656990 129.879162 130.033550 129.086727 126.280080 125.940142 125.630485 125.259049 122.318374 120.173138 109.639186 111.254138 112.007674 187.919124 185.425523 187.876541 188.436560 181.032724 186.220356 188.833090 188.597171 188.501023 190.048057 192.321741 188.626780 188.475105 189.103039 186.406631 181.785109 180.315348 179.026517 179.334052 175.235137 168.600138 162.646586 156.679349 147.617031 142.819239 134.752956 127.067466 138.156146 142.260403 144.655195 142.241945 140.326733 138.890183 134.391691 129.909336 118.958412 129.422312 127.880859 125.265357 124.878507 120.145942 105.476726 111.749243 96.242096 0.000000 85.704045 121.171735 105.557218 109.224406 127.887592 138.513315 132.809298 141.057127 152.199461 164.894288 175.260367 180.910931 184.730253 180.650423 184.938580 186.829932 187.825595 189.361689 189.167838 196.069533 198.311389 200.169456 200.151894 202.483904 203.152228 202.458340 199.378884 197.982103 198.924856 195.731585 197.682851 197.261811 195.479569 192.576068 190.708275 187.941459 189.517912 187.921748 185.469362 184.361193 185.075577 183.307509 172.250047 173.371905 182.130107 177.060086 173.987662 176.057608 174.924431 167.809616 168.547413 173.046764 170.816292 164.696670 169.309134 168.131670 166.275681 163.284810 159.163195 159.575280 159.596599 158.189222 153.148305 157.381532 155.451728 151.172248 150.858884 148.926639 148.797015 147.999580 144.136536 141.590451 140.177197 139.524261 136.116301 132.328735 114.237075 110.557610 111.413164 191.462893 189.296692 192.289989 192.469747 184.711875 193.074045 194.444851 194.219362 195.144496 196.710103 198.378489 195.552995 196.117143 196.973858 195.626395 193.439929 192.377249 191.808322 192.297491 189.392308 184.315300 181.307775 178.277523 170.566630 167.929040 162.296943 157.257888 162.265307 166.557416 168.432721 166.795940 166.965076 167.110065 163.879446 159.350174 150.091333 157.064818 152.627280 147.951684 146.829482 146.822425 130.676923 124.517930 118.423051 97.218267 0.000000 112.218703 106.225496 105.562668 118.995836 134.398089 128.578301 136.730590 148.999625 163.104675 174.732758 181.302579 186.174646 181.819532 187.080892 188.803058 190.013353 192.094800 192.319313 199.356846 202.171296 204.069299 204.553138 206.563028 207.186505 206.458877 203.306966 201.722826 202.391326 198.591153 200.494449 199.591079 197.358560 194.134710 192.090709 189.060524 190.988655 189.460457 186.765971 185.841587 186.969701 185.184550 172.835014 175.028645 186.168778 181.847656 179.164893 182.297129 182.082302 176.435723 177.880062 182.437531 180.873940 176.758290 181.808705 181.959553 181.122156 180.569602 179.595465 180.364784 180.668387 179.630832 175.765491 179.372208 178.501687 175.961789 176.811776 175.811739 175.859197 174.994157 171.975038 170.384982 169.441969 168.923674 165.802189 162.513164 147.182059 141.782430 135.672732 135.839873 134.005902 137.147637 136.780916 125.185727 140.944787 140.627584 140.511536 142.981090 144.807947 145.896867 144.624904 146.232870 147.275503 147.916644 149.213566 148.731961 149.219916 150.106106 149.272211 146.659370 147.350868 148.492019 143.230556 142.524250 138.993949 134.269140 135.987417 139.519836 140.719210 140.156270 142.110446 143.827134 141.995815 138.331992 130.962944 135.573649 130.936565 126.651271 124.982537 126.154349 116.925697 106.417964 97.415869 91.775421 71.308169 0.000000 67.773753 76.134821 76.121672 79.036282 83.472672 90.269032 99.605091 112.058078 122.027686 127.461316 131.398154 126.828334 132.369481 133.840729 134.875921 136.475908 136.064447 143.754676 147.250076 149.269635 150.300600 151.979954 152.558057 151.796293 148.571074 146.797743 147.190804 142.789589 144.831951 143.869639 141.582631 138.317706 136.276054 133.580663 134.970250 133.101752 130.411743 128.891612 129.879387 128.256186 114.153418 113.948727 131.545609 128.708335 125.964151 131.666785 133.690887 132.288311 133.883358 138.030673 137.919242 137.627569 142.055654 144.012648 144.490020 146.493917 149.201121 150.319612 150.963064 150.370591 147.945066 150.173050 150.454302 149.896086 151.734262 151.590102 151.825401 150.943158 148.637107 147.973366 147.480062 147.098593 144.298217 141.378151 128.629754 122.121321 114.082781 189.509886 187.355400 191.514680 191.542602 184.895550 194.795235 195.331450 195.405891 197.163126 198.683564 199.962027 198.186368 199.187870 200.031749 199.452703 198.514315 197.655792 197.468529 198.192059 196.228205 192.064519 190.074093 188.897866 182.475160 180.310805 174.943273 168.060412 173.234606 175.166936 174.338273 171.216272 175.021566 178.300747 176.640005 173.999422 167.069866 172.489326 169.208436 165.784307 164.311154 163.504677 153.990799 148.947199 132.146389 121.225000 110.379056 112.837848 0.000000 88.232471 105.324181 114.486666 104.257483 118.615662 133.195516 150.632894 165.114995 173.648313 180.187199 174.894549 181.875189 183.716876 185.576236 189.064536 190.629995 198.019374 201.592847 203.702124 204.745961 206.643227 207.258625 206.524919 203.359955 201.516072 201.635926 197.074348 198.655900 196.954931 193.977754 190.224398 187.886106 184.147606 187.027638 185.966696 182.880965 182.505874 184.503844 182.954149 169.962724 173.742409 187.072117 183.988462 182.129992 186.003719 186.838250 183.693373 184.822725 189.013228 188.211390 185.945838 190.205560 191.008569 190.618111 190.588602 190.689887 191.529409 191.949385 191.066783 187.722067 190.391727 189.819630 187.978303 188.836877 187.910218 188.052768 187.254966 184.223584 183.063077 182.288107 181.843501 178.961855 175.548837 161.689490 151.897335 140.410487 189.011582 187.139858 191.840604 191.680300 186.390849 196.492668 196.515304 196.675654 198.879969 200.311162 201.251402 199.976124 201.230302 202.121170 201.980331 201.798928 201.077303 201.110182 201.883527 200.318102 196.763860 195.581516 194.834255 188.984908 186.955001 181.847332 176.300701 181.258107 183.762481 183.941580 182.276930 183.661819 184.465957 180.951084 179.041107 172.612144 178.538301 175.699002 172.315145 171.238461 170.682582 159.480675 156.195503 145.850648 126.224924 111.048965 122.531652 89.565208 0.000000 83.601481 106.785572 83.999482 97.014879 118.104531 138.636873 156.441397 167.354617 176.413209 171.282433 179.133691 180.823868 182.996738 187.496708 190.017898 197.339464 201.369094 203.549104 204.977525 206.741042 207.341304 206.596211 203.406794 201.384723 201.158085 196.046509 197.398352 194.999486 191.370449 187.154811 184.546203 180.150708 183.965221 183.285367 179.823093 180.150131 182.850130 181.305377 167.658088 173.978733 187.577138 185.060458 183.844677 187.915371 189.077770 186.755385 188.128810 192.076548 191.523765 189.924159 194.141295 195.269556 195.116976 195.625723 196.380981 197.252638 197.717735 196.889002 193.734111 196.205496 195.650044 193.736948 194.273293 193.180522 193.195412 192.441067 189.250901 186.891611 185.493693 184.911366 181.886162 177.274852 159.225366 137.396248 111.471625 182.519230 181.190036 186.516356 185.879448 181.905558 193.586523 192.455091 192.598594 195.801259 197.119010 197.300714 197.018063 198.926704 199.976054 200.952773 202.724736 202.326441 202.917552 203.853811 203.280803 200.982029 201.932918 203.418668 198.607891 197.822618 194.149357 189.140796 191.722954 194.268320 194.469457 193.833526 196.131692 197.965750 195.791102 193.025629 186.346849 191.153309 187.310894 183.558648 182.223585 182.869511 173.392688 166.866980 158.547490 146.233262 125.827284 123.863656 108.002069 84.946633 0.000000 92.656894 79.659622 80.960258 100.854693 123.831134 143.409943 155.679227 166.619401 161.486767 170.409766 171.857601 174.307572 179.560737 182.666559 189.712493 194.442165 196.588977 198.720307 200.037462 200.575741 199.784015 196.494455 194.178515 193.499824 187.375520 188.776314 185.593338 181.232063 176.496498 173.590824 168.893272 173.149955 172.382168 168.420653 169.146995 172.582489 170.512538 152.389995 166.000084 180.940228 179.441392 179.390468 184.420554 186.529243 186.319726 188.060574 191.802186 191.935277 192.284841 196.449648 198.585207 199.183788 201.330671 204.263381 205.375179 206.037479 205.467963 203.132620 205.097884 205.335087 204.714560 206.249060 205.919207 206.110167 205.277866 202.779315 201.637991 200.881311 200.449152 197.627783 194.114725 179.753672 167.230362 152.087253 168.523585 165.356878 174.161694 174.277928 172.624780 185.095961 183.271408 184.203492 188.136321 189.431956 189.665947 190.219126 192.382388 193.382758 194.978258 197.783076 197.585078 198.561244 199.704141 200.007540 198.719519 200.908944 203.934476 199.989117 199.861319 196.938105 192.162342 193.552624 195.760509 195.504512 195.660426 198.569109 200.987932 199.390074 196.570598 190.124728 194.317050 190.254423 186.537626 185.109443 186.192784 177.950046 170.546669 162.982653 153.598096 137.968649 123.517377 113.903666 104.869835 89.396006 0.000000 69.713216 80.829771 90.068358 113.273600 131.110344 141.504034 147.150727 134.212834 149.573105 152.695681 157.470615 165.674605 171.779850 180.610172 186.120605 188.820823 191.178799 192.810322 193.406516 192.658361 189.462369 187.040342 185.939063 179.751737 180.492632 177.109536 172.562728 167.689613 164.768309 159.477180 164.294853 164.491225 160.759778 160.931364 165.218553 164.592796 151.862072 156.783254 175.057208 174.631016 174.906983 179.727866 182.462608 183.414401 185.094561 188.510188 189.126532 190.474875 194.316132 196.955628 197.905831 200.628686 204.704956 205.911104 206.679497 206.248576 204.351692 205.834752 206.493109 206.592774 208.551577 208.570939 208.839891 207.986599 205.792729 205.108313 204.585981 204.214312 201.499404 198.315446 185.262161 174.891595 162.144491 247.038692 245.688728 252.251110 251.717194 249.636386 261.137073 259.711566 260.315119 263.804852 265.066977 265.239413 265.462802 267.410065 268.390831 269.526532 271.537570 271.192940 271.894593 272.919370 272.661498 270.697533 271.906400 273.842581 269.330770 268.660797 265.107197 260.032290 262.468071 264.712362 264.521214 264.056818 266.676795 268.780655 266.742174 264.149615 257.687082 262.345952 258.615074 254.997176 253.657357 254.259109 245.251325 239.024901 230.374274 218.373815 202.628596 198.433502 174.154218 152.563480 146.878469 140.192951 0.000000 99.218062 126.252773 160.071928 188.902429 207.600763 224.462525 219.598592 230.134284 231.549664 234.801207 242.680821 248.496611 256.114715 261.521368 264.091299 266.530586 268.130920 268.723419 267.972485 264.770524 262.267019 260.996370 254.521316 254.872253 250.393632 244.822040 239.228742 235.815098 229.092254 236.179155 237.120667 232.599697 235.278297 240.097903 239.264775 227.582958 235.354699 250.611105 249.802287 249.945164 254.530417 256.734066 256.808544 258.425787 261.978273 262.260921 262.787337 266.742353 268.954689 269.594204 271.699798 274.825428 275.938799 276.620882 276.077022 273.822774 275.596961 275.913283 275.448974 277.021671 276.734878 276.938893 276.111691 273.643776 272.548685 271.811325 271.387390 268.592819 265.066596 250.819597 237.828785 222.101188 299.928757 299.777092 306.451610 305.415182 305.245774 316.919850 314.870795 315.636086 319.639405 320.781562 320.516497 321.460160 323.671708 324.677239 326.285074 329.098615 328.890865 329.828281 330.939499 331.146929 329.760977 331.787545 334.607497 330.595120 330.341618 327.272718 322.465580 324.165950 326.332276 326.071981 326.130036 328.881067 331.114626 329.295578 326.640367 320.273635 324.614979 320.718368 317.072250 315.712304 316.650954 308.130322 301.430771 293.973706 282.991195 267.150437 261.599413 244.881948 221.948428 204.548656 207.679058 155.587613 0.000000 137.867876 169.583038 212.778290 241.899532 269.964557 269.423171 279.282695 279.673333 282.898701 293.002732 301.009989 308.315112 314.527959 317.320796 320.390436 321.941987 322.538649 321.790847 318.595612 315.764138 313.751416 306.354812 305.790536 299.444101 292.127413 285.298658 281.139591 272.055809 282.548959 285.077947 279.734051 284.968585 291.420001 291.074580 281.945049 291.039153 305.694090 305.719368 306.565684 311.215898 313.716232 314.665250 316.376738 319.734659 320.314224 321.570822 325.408311 327.984536 328.887442 331.511309 335.421834 336.608155 337.360615 336.908443 334.946853 336.466845 337.043289 337.003303 338.831498 338.756223 339.000204 338.159276 335.877949 335.000105 334.375606 333.980893 331.238837 327.867542 314.199280 302.131369 287.395841 283.945305 285.363564 292.388605 290.672122 293.394224 305.283765 302.324245 303.363078 308.124619 309.087436 308.186526 310.224648 312.814635 313.845703 316.137998 320.109579 320.100195 321.381688 322.626308 323.526726 322.988760 326.188909 330.321464 327.044155 327.397158 325.026040 320.523117 321.168421 323.147081 322.684017 323.431056 326.535163 329.112387 327.712418 324.970832 318.761602 322.600218 318.470464 314.807959 313.400523 314.798076 307.143346 299.749654 293.614606 284.541254 269.827196 261.343197 249.869527 233.445806 214.850816 207.325370 173.030049 128.275601 0.000000 101.505161 160.335849 200.738958 243.591097 248.479829 257.793223 256.867473 260.177045 273.384698 284.547390 291.361098 298.803147 301.954542 305.978952 307.491656 308.100580 307.362003 304.186579 300.850417 297.677403 288.872241 286.860331 277.602961 267.565426 258.815433 253.442754 240.925348 256.526531 261.347711 253.740383 264.134223 273.168377 273.721588 269.791010 279.410798 293.296209 294.633940 296.513939 301.172249 304.102805 306.326709 308.146418 311.207009 312.224985 314.533343 318.173077 321.270001 322.547720 325.888840 330.924954 332.214900 333.069284 332.750110 331.212378 332.347724 333.306944 333.900158 336.111722 336.351435 336.660156 335.798870 333.794486 333.286279 332.852880 332.507246 329.851180 326.749504 314.109134 303.784117 290.971751 321.575236 325.597484 333.121586 330.523991 337.578812 349.500644 345.419993 347.027475 352.713861 353.461094 351.936374 355.338530 358.321008 359.338764 362.396447 367.649238 367.866853 369.551378 370.975643 372.735257 373.226925 377.742479 383.415913 381.023632 382.046843 380.447822 376.282328 375.758638 377.436145 376.599971 378.225986 381.756288 384.733394 383.778565 381.001482 375.015428 378.305770 373.972915 370.334306 368.888121 370.753284 364.048795 356.085983 351.468507 344.176716 330.872882 320.736819 314.247541 300.918783 284.767892 277.471247 253.789839 206.931398 148.445797 0.000000 110.692935 188.680681 261.638688 277.497801 285.241795 281.902466 285.380122 305.170508 322.619086 329.583486 338.715341 342.529906 347.664989 349.328394 349.984879 349.282085 346.183503 342.257789 337.619168 327.323322 323.142714 310.261177 296.841767 285.679537 279.047032 260.587731 284.137736 293.387192 287.666363 299.207236 311.477213 313.462815 315.628704 325.570249 338.078516 340.954269 343.948489 348.447012 351.811633 355.411027 357.283264 359.950008 361.476139 364.903439 368.246173 371.899400 373.570103 377.605536 383.869145 385.263487 386.229711 386.056263 384.981977 385.642563 387.027152 388.332163 390.951696 391.532232 391.910437 391.029896 389.323132 389.194614 388.956334 388.662020 386.100710 383.258526 371.650547 362.845927 351.675641 369.039453 375.518394 383.848349 380.566321 391.937510 403.871046 398.775749 401.087435 407.622859 408.198875 406.282885 410.890402 414.186068 415.164026 418.886485 425.245403 425.666027 427.720822 429.327404 431.908399 433.368109 439.062146 446.165917 444.598068 446.224517 445.320768 441.448886 439.855024 441.211534 439.943758 442.425402 446.389997 449.773234 449.241471 446.439025 440.660637 443.452352 438.946979 435.343402 433.859551 436.129388 430.295543 421.841256 418.541981 412.886168 400.844338 389.049801 387.073016 377.066681 362.690075 353.651364 340.963714 308.470024 265.619858 169.036309 0.000000 181.477266 287.445445 314.704834 321.150383 315.413865 319.318106 346.901363 371.510963 379.492872 390.169119 394.709937 400.700144 402.632361 403.351435 402.695729 399.698268 395.323400 389.483190 378.159877 372.156615 356.704752 340.890511 328.004308 320.641578 297.412213 326.817558 340.144157 337.689489 347.474899 362.493959 365.929019 372.911660 382.581838 394.060981 398.234212 402.092228 406.377402 410.125102 414.893879 416.763439 419.057026 421.044330 425.427808 428.463152 432.596378 434.601633 439.191041 446.535650 448.017393 449.082768 449.038484 448.373728 448.584567 450.354300 452.309899 455.298027 456.187202 456.629425 455.731864 454.294220 454.516723 454.458549 454.211634 451.737833 449.135204 438.485360 431.101874 421.472486 248.109741 256.697751 266.232533 262.639217 277.973089 289.856777 284.019441 287.210002 294.388753 294.887561 293.035618 298.442177 301.883662 302.780475 306.929663 313.985639 314.548519 316.881832 318.658076 321.917186 324.147023 330.672169 338.878619 337.954855 340.009799 339.600390 335.921041 333.537225 334.562855 332.796082 336.018534 340.383396 344.136136 343.938188 341.140749 335.531024 337.961540 333.361095 329.812370 328.300169 330.823797 325.632201 316.901053 314.475421 309.968615 298.846042 285.915313 287.038216 279.411783 266.391241 255.476937 251.093930 229.023148 197.454849 138.455937 72.909149 0.000000 142.488628 181.512176 187.038800 179.031425 183.749923 220.845308 253.601957 264.271818 276.051860 281.332796 287.619258 289.986446 290.785311 290.189634 287.321084 282.801776 276.387086 264.939014 258.295805 242.957219 227.256778 214.416822 207.454825 184.282530 212.216199 227.312589 226.677322 232.680226 249.489942 254.220138 263.540141 272.218587 283.258234 288.184593 292.429360 296.433154 300.435685 305.916656 307.692737 309.683084 312.007046 316.980283 319.719695 324.156903 326.365161 331.216479 339.287651 340.819072 341.952306 341.996338 341.609422 341.455361 343.502610 345.938339 349.187157 350.296910 350.786584 349.878108 348.631747 349.112833 349.186619 348.974744 346.566658 344.136113 334.193010 327.822037 319.290927 197.998927 209.531071 224.049830 221.445396 244.781542 256.280195 249.664760 255.575566 263.548227 264.173431 263.995206 269.966941 273.184313 273.741648 278.093666 285.404742 286.099030 288.783025 290.924743 295.319389 298.713366 306.027107 315.758690 315.764141 318.246720 318.329143 314.756346 311.428388 311.541228 308.165762 312.889178 318.172625 322.752903 323.075048 320.405376 315.077133 317.107429 312.552842 309.210727 307.663150 310.270410 305.851203 297.203968 295.349239 291.943281 281.873453 268.007495 271.732446 266.625719 255.486760 239.278973 246.111036 235.243518 218.462332 189.569289 157.032672 120.643972 0.000000 88.947312 90.844323 80.301806 102.159272 163.339575 216.877242 238.754426 251.629595 258.696198 263.859279 267.830996 268.880400 268.473216 266.009446 262.127543 256.344029 247.545449 242.787672 235.695916 227.702892 220.309088 216.745864 205.436231 215.521196 224.784216 223.706101 217.655342 233.537119 240.378996 247.205782 251.079440 262.885843 267.788193 271.348255 274.431342 278.591553 284.212864 285.450915 286.949373 289.652773 294.778565 296.842114 301.400378 303.640869 308.106909 316.695820 318.215658 319.403756 319.518818 319.344468 318.601770 320.943480 323.945876 327.446440 328.780593 329.328204 328.415209 327.358057 328.148454 328.376236 328.206836 325.883431 323.636707 314.547129 309.220874 301.825240 228.212489 236.925978 254.672423 254.724089 276.173912 287.587159 281.573695 287.770262 295.333124 296.073587 296.438914 301.899162 304.927666 305.440888 309.515682 316.335132 316.962535 319.549092 321.686684 325.942603 329.132323 336.097429 345.524293 345.358121 347.679466 347.570059 343.889474 340.794572 340.766790 337.038358 341.846094 347.226318 351.889930 352.181887 349.546259 344.190011 346.334092 341.852570 338.532382 336.990003 339.453543 334.857212 326.373682 324.091102 320.363211 310.018098 295.937435 298.939555 293.994702 282.853885 258.840840 273.746863 267.201891 255.850823 237.928161 216.791820 192.167279 121.447071 0.000000 109.103482 132.160015 168.073668 212.260870 253.787254 275.001019 286.688917 293.386622 297.866051 301.901084 302.947741 302.538491 300.070284 296.498218 291.419025 283.380984 279.806577 274.531335 268.232576 262.050747 259.082925 250.659867 257.080181 263.763044 262.099967 253.074781 269.184515 275.559275 279.975563 283.174950 295.765320 300.077988 303.176295 306.246103 310.291933 315.475078 316.632338 318.218944 320.793846 325.571628 327.653543 332.040706 334.154753 338.341226 346.587525 348.071420 349.229673 349.305912 349.006479 348.341062 350.580625 353.425650 356.825725 358.076989 358.611806 357.704883 356.574378 357.299093 357.491892 357.313476 354.973652 352.679618 343.424652 337.859437 330.216267 251.915897 254.497301 279.803252 282.137722 307.474311 318.311623 312.101791 319.976501 327.910681 328.669868 329.851272 335.886925 338.801525 339.093766 343.305687 350.267913 350.976342 353.778669 356.161101 361.153240 365.063623 372.473407 382.972201 383.462384 386.086987 386.284181 382.608704 378.752503 377.226478 370.547389 377.604161 384.369830 390.269423 391.169286 388.745307 383.701085 385.509037 381.134969 378.018044 376.465791 378.937976 375.033870 366.728177 364.978814 362.093152 352.721243 338.920367 343.361980 339.287745 329.218669 311.642896 321.724340 314.503199 302.606003 283.113940 260.679154 235.135688 160.785867 146.545266 0.000000 131.872788 186.204326 235.834099 284.437209 309.465104 321.795471 329.447282 333.613182 338.564080 339.760221 339.463433 337.236736 333.794190 328.524727 321.367545 317.218121 313.289486 308.248913 302.957602 300.529536 292.624539 298.142721 305.273706 304.354179 297.840861 309.430232 316.318161 321.454454 322.475624 334.407893 338.998612 341.942807 344.390486 348.499834 353.899055 354.724941 355.959674 358.795769 363.732271 365.342592 369.815105 371.954886 375.879022 384.453155 385.927327 387.122676 387.247498 387.095916 385.996895 388.424563 391.659163 395.200730 396.582072 397.166120 396.263406 395.238643 396.233013 396.555518 396.414095 394.150949 392.001294 383.521015 378.758286 371.972702 275.280263 289.842747 305.440250 302.211746 330.524992 341.803302 334.582481 341.833985 350.336331 350.989017 351.517558 357.960079 361.093359 361.476326 365.983288 373.516545 374.288980 377.167023 379.495462 384.493108 388.516882 396.268361 406.805855 407.303861 410.013102 410.361241 406.855742 403.045718 402.782639 398.788559 404.153555 409.823537 414.751830 415.311678 412.700409 407.511531 409.338785 404.803279 401.565181 399.999933 402.657305 398.623536 390.030266 388.482517 385.594364 376.053268 362.001474 366.813526 362.587782 352.276363 336.375331 344.749579 336.503697 323.290112 301.384470 276.552495 248.738172 171.853209 191.211660 153.482648 0.000000 161.445517 226.581697 298.659731 326.606888 340.603125 348.843883 353.682711 358.546590 359.741236 359.443323 357.214211 353.547446 347.775800 340.189615 335.347516 331.157281 325.876643 320.396644 318.058234 309.830131 315.010733 323.580708 323.036713 317.339922 328.320377 335.899962 342.117921 343.418681 355.207834 360.228480 363.475951 366.026732 370.253533 375.967624 376.922788 378.141259 381.054824 386.269559 387.972049 392.601153 394.862919 399.135108 408.010001 409.524905 410.742782 410.896308 410.837182 409.785748 412.285719 415.588256 419.224409 420.679544 421.256178 420.340192 419.385339 420.327322 420.630959 420.482524 418.201281 416.043868 407.365037 402.521155 395.645129 194.966292 217.596110 228.178527 221.284743 253.938168 265.345748 257.203872 264.753754 273.876700 274.469515 274.925466 281.891568 285.125187 285.475408 290.253973 298.267766 299.122085 302.149915 304.543244 309.862641 314.287144 322.483710 333.485125 334.256408 337.145398 337.731448 334.363164 330.304282 330.529496 327.671092 332.465487 337.745203 342.330483 342.836192 340.152120 334.961658 336.681724 332.061544 328.809105 327.227718 330.026822 326.142632 317.404134 316.176267 313.588430 304.261967 290.035069 295.671290 291.759055 281.724738 268.148669 274.999526 266.727469 253.598088 231.860529 207.455140 180.455074 120.709079 154.123716 134.812589 88.443920 0.000000 123.621252 214.703321 247.246639 262.842369 272.027083 277.160869 282.412828 283.679268 283.435369 281.322248 277.596855 271.458692 264.131854 258.686141 255.482386 251.126196 246.288690 244.468064 237.009396 240.477474 249.782619 249.781434 245.309040 253.419411 261.776267 268.631092 268.909546 280.484793 285.876921 289.196812 291.538087 295.874837 301.863034 302.757029 303.814820 306.891726 312.346005 313.914525 318.685081 321.039212 325.436851 334.659571 336.198416 337.447098 337.640252 337.704482 336.513408 339.144183 342.653615 346.420557 347.985931 348.574959 347.649742 346.792466 347.791837 348.128300 347.987917 345.720579 343.610100 335.055474 330.441271 323.809385 220.993351 242.657721 246.098606 228.328597 269.878568 281.596148 271.551449 278.951562 289.578063 290.016192 289.944623 298.126308 301.631701 301.953348 307.325475 316.400093 317.414751 320.719265 323.208370 329.081942 334.204663 343.198483 355.069402 356.350048 359.587685 360.611141 357.469867 352.875550 353.592243 351.952132 356.281672 361.208390 365.488582 366.028087 363.255908 358.113509 359.594151 354.838005 351.579136 349.970883 353.026308 349.516938 340.508146 339.954323 338.077661 329.296550 314.588193 322.112726 319.212161 309.931039 299.305796 305.832276 299.784636 289.758877 274.604052 257.991533 240.503596 204.842519 221.264054 207.395499 176.533237 146.574389 0.000000 206.744882 252.957575 273.503433 285.268905 291.428918 297.485098 298.908516 298.782718 296.923216 292.997705 285.892351 279.119472 272.279101 272.248827 270.875333 268.073137 268.309591 265.110361 258.982699 271.311383 272.858626 269.530757 270.874409 281.636834 289.829773 287.750534 298.923830 305.225905 308.741492 310.674066 315.245849 321.830074 322.632155 323.370936 326.769654 332.725853 334.045715 339.098960 341.639921 346.309885 356.189229 357.776180 359.083786 359.353083 359.656088 358.197974 361.070068 364.970503 368.974079 370.738616 371.356743 370.416985 369.734978 370.880946 371.296513 371.176317 368.945333 366.943193 358.750030 354.714837 348.703536 95.780879 114.697835 112.517359 90.619282 129.030106 142.043501 130.858715 134.558672 147.302272 147.494299 145.040347 155.102770 159.225536 159.729731 165.935440 176.532180 177.711248 181.218660 183.630046 189.650976 195.098514 204.756630 217.079835 218.603390 222.127226 223.502268 220.582971 215.622037 216.926911 216.598839 220.320670 224.793425 228.679352 229.185616 226.287509 221.135850 222.432434 217.492810 214.148715 212.523536 215.880220 212.631619 203.198657 203.379173 202.161007 193.798260 178.453929 187.955382 186.010549 177.314058 169.688238 175.925263 172.069090 165.198766 156.329827 146.878331 137.537442 122.657383 127.067635 120.275806 112.888468 101.933655 71.022080 0.000000 80.501742 114.420135 131.772436 141.067993 147.845559 149.453553 149.466620 147.905324 143.362511 134.237246 128.010707 118.748369 126.963352 133.253538 136.048616 137.796935 138.428378 133.340296 136.211385 137.669068 132.955068 123.144875 139.541425 148.983714 143.271401 154.736287 162.667632 166.649392 168.414042 173.332383 180.758915 181.705979 182.230343 185.910147 192.545329 193.854237 199.258877 202.057654 207.334754 217.869264 219.531992 220.895286 221.236915 221.773761 220.229049 223.284928 227.451628 231.648621 233.569162 234.206774 233.252500 232.710577 233.959467 234.432447 234.326054 232.117029 230.203103 222.262871 218.733280 213.264593 291.957916 302.920411 300.779853 287.717534 308.700180 317.795477 306.523879 304.350720 314.998353 311.790082 292.723422 315.664118 322.276004 323.344726 331.795259 345.880980 347.361418 350.869507 352.724897 357.882176 362.772263 372.615285 384.323704 385.430489 389.020763 390.446661 387.652602 382.808189 384.565269 385.016094 388.204978 392.279321 395.814503 396.188466 393.159896 387.912174 389.192960 384.049555 380.495737 378.889894 382.537480 379.251661 369.299058 370.139041 369.151432 360.924523 346.232888 355.433491 353.420845 344.448721 338.607289 343.632097 339.462943 332.101204 323.382957 314.948969 308.296032 304.623296 308.370130 305.392430 300.924355 294.565702 277.323502 240.590471 0.000000 151.878602 208.866116 243.222167 254.611729 257.498835 258.474236 258.979516 248.467269 221.355008 216.226306 168.429954 209.994355 247.362093 272.506800 283.959486 291.278964 286.423798 289.182686 294.017489 294.580850 285.081715 293.010974 310.327055 310.564554 305.586439 321.364970 327.739578 329.173805 333.620167 342.721806 344.419164 344.502078 348.435129 356.046774 357.760473 363.614572 366.775203 373.242772 384.256073 386.036222 387.433457 387.819984 388.519392 387.309225 390.365519 394.441186 398.667423 400.594264 401.225191 400.263087 399.733714 400.959576 401.424193 401.313854 399.091557 397.186553 389.187439 385.742860 380.351979 321.181722 327.974237 324.414136 315.361371 328.520096 333.545861 320.510843 313.566139 324.091987 317.414290 282.089862 320.042626 329.016473 330.253832 341.336872 359.513349 361.438538 365.288895 366.914960 372.298917 377.772773 388.313223 400.639814 402.115240 405.993878 407.764940 405.136851 399.864719 401.826213 402.848824 405.909342 409.861718 413.292492 413.741185 410.676976 405.500813 406.576294 401.341683 397.796840 396.178202 400.026578 397.080750 386.996729 388.402442 387.925908 380.271594 366.260908 375.539584 373.983094 365.711014 360.650342 365.571370 362.208410 356.075873 349.047432 342.157836 336.608694 334.031086 336.590648 334.255418 331.453211 326.694052 314.401980 291.041485 168.411223 0.000000 139.703020 200.246707 225.644586 231.430256 234.586373 239.774664 232.035277 201.349337 236.874281 220.612330 254.770125 285.230858 305.429769 314.505848 320.682798 316.324516 316.818582 321.050765 321.304006 312.068970 316.336344 332.183400 331.634853 316.378227 336.905063 343.641729 343.587920 347.764393 357.779999 359.385708 358.457934 362.985679 371.160900 372.458889 378.670597 382.043865 388.836017 400.438710 402.270154 403.719576 404.173467 405.087154 403.688855 406.936170 411.313693 415.719576 417.797224 418.452609 417.480804 417.083489 418.432539 418.962105 418.868870 416.679028 414.857518 407.168344 404.130139 399.163424 326.868519 332.100585 328.901918 322.129069 330.624585 335.445115 323.206887 317.078821 324.814824 317.452902 278.996169 318.424273 327.879277 329.362370 340.639072 359.051835 360.977365 364.702724 366.127049 370.977856 375.955052 386.466077 398.320945 399.477555 403.357523 405.107760 402.530379 397.377185 399.505487 400.742116 403.616864 407.415660 410.712405 411.096596 407.961153 402.721473 403.807640 398.456459 394.774735 393.170621 397.179134 394.180547 383.753199 385.536070 385.192943 377.578564 363.689436 373.057830 371.572072 363.266794 358.759528 363.550270 360.410215 354.636236 348.270966 342.107622 337.298599 336.506657 338.697322 337.316197 335.102938 331.287734 321.576420 303.802754 220.807705 135.111989 0.000000 121.346834 159.697855 168.886697 174.603171 185.289736 179.922797 145.791642 217.907197 228.629943 259.797432 287.468821 305.673625 313.756932 319.785788 315.401589 314.098473 318.406459 318.756041 308.549151 310.461114 327.465150 327.643908 301.160516 328.742989 337.020762 337.039941 340.867431 352.020424 354.185038 353.366951 357.828469 366.566648 368.301427 374.709810 378.274322 385.791973 397.602765 399.501386 400.964143 401.436168 402.420488 401.261394 404.478851 408.754837 413.151806 415.210113 415.859050 414.884098 414.474232 415.800640 416.320067 416.223076 414.022251 412.200799 404.462424 401.473089 396.554256 376.821419 380.261855 375.872413 371.291436 376.253495 377.853564 364.017449 357.500187 362.291807 351.102009 295.581379 351.646345 363.331274 364.768807 378.567297 400.717652 403.084171 407.170792 408.484772 413.819370 419.594691 430.745872 443.408585 445.067732 449.205770 451.275535 448.816679 443.212608 445.405751 446.979177 449.878071 453.675522 456.973292 457.467812 454.343021 449.205661 450.100134 444.733157 441.136352 439.513213 443.612388 440.952677 430.600534 432.683514 432.729706 425.616729 412.274725 421.655992 420.554818 412.952449 408.671830 413.543881 411.034180 406.214971 400.960373 395.652154 391.139386 389.224062 390.731076 389.036422 387.496091 383.975846 375.290758 360.652635 302.718080 243.210000 168.901158 0.000000 143.725854 165.091222 179.968633 210.327981 238.049637 241.518727 296.675868 307.409041 331.731347 353.021596 366.647168 372.637250 377.222420 373.293155 371.524736 374.791471 374.294987 365.404268 366.398928 379.670583 377.811807 348.025487 376.505900 384.184498 382.821436 386.505381 397.891956 399.663898 397.816214 402.874751 411.820355 412.925760 419.554965 423.208706 430.623769 442.850652 444.758962 446.261358 446.784049 447.922596 446.464885 449.869406 454.470715 459.032505 461.235629 461.910299 460.928592 460.643059 462.094154 462.678141 462.598786 460.433615 458.687713 451.260483 448.613610 444.054109 459.578854 463.430234 460.414075 455.390140 459.812651 464.640298 453.286621 447.092994 453.296289 445.996138 407.648812 445.132844 454.768925 456.585562 467.718312 485.934113 487.807641 491.378607 492.598769 496.828880 501.203156 511.758077 523.104436 523.904152 527.834872 529.613897 527.128573 522.049936 524.376991 525.872501 528.561645 532.186980 535.333883 535.663736 532.432778 527.126705 528.186716 522.666223 518.803404 517.216890 521.473983 518.475623 507.552094 509.958863 509.912398 502.477300 488.804761 498.403939 497.169017 489.120286 485.154034 489.994897 487.436413 482.578357 477.474460 472.435053 468.357256 468.046462 469.616790 468.838002 467.210652 464.078487 456.197620 442.280884 388.958324 343.458561 282.102861 218.576536 0.000000 55.189444 95.514201 180.520807 266.905745 308.526010 367.598134 384.294841 407.942205 428.602210 441.780071 447.516583 452.323148 448.193508 445.391396 448.745989 448.361191 438.764953 438.077528 452.179722 450.947835 404.776832 445.306010 455.761890 455.554767 458.818392 471.833589 474.777388 474.143692 478.492418 488.089769 490.432992 497.127949 500.973114 509.513751 521.689682 523.685324 525.173905 525.680650 526.792766 525.916160 529.124749 533.318039 537.732515 539.789807 540.435157 539.454702 539.049660 540.372647 540.892272 540.793926 538.585386 536.781641 529.049693 526.221427 521.468006 583.341650 587.227481 584.421224 579.365304 583.626285 588.938920 577.975634 571.829328 578.214400 571.499773 535.734386 570.388773 579.720654 581.600831 592.330289 609.951148 611.749591 615.240045 616.442080 620.494010 624.645907 635.112126 646.250693 646.914255 650.814834 652.550753 650.063271 645.065039 647.416137 648.905057 651.559025 655.155077 658.276357 658.580400 655.331606 649.998877 651.083238 645.536339 641.629980 640.049316 644.335043 641.285816 630.266649 632.734385 632.679863 625.199919 611.482006 621.118479 619.868421 611.757707 607.849369 612.686538 610.132217 605.286422 600.230087 595.253269 591.255262 591.195007 592.762589 592.133284 590.504440 587.444068 579.720179 565.988019 513.944572 471.343372 413.390845 362.041045 177.288586 0.000000 156.553224 284.657675 381.667946 430.516058 489.918567 507.629157 531.026541 551.453333 564.464612 570.116663 574.932334 570.777623 567.790611 571.139565 570.757033 561.066878 560.075409 574.245028 573.079440 524.058120 566.653080 577.569200 577.531251 580.720594 594.017239 597.152470 596.704783 600.944652 610.656885 613.198076 619.908572 623.788038 632.517973 644.693465 646.704142 648.191159 648.696194 649.806864 649.023134 652.202115 656.332478 660.725170 662.760536 663.401411 662.421035 661.998135 663.301810 663.811771 663.710546 661.495338 659.683253 651.905658 649.053325 644.274042 547.583709 551.495459 548.847119 543.767136 547.906592 553.584104 542.914526 536.803822 543.325652 537.051542 503.228661 535.754182 544.857199 546.785180 557.211223 574.384482 576.126435 579.556316 580.744713 584.662590 588.647182 599.046666 610.028903 610.590028 614.467931 616.171419 613.682315 608.744574 611.113761 612.597724 615.225228 618.799249 621.901251 622.185876 618.923664 613.570880 614.673561 609.106795 605.167680 603.591416 607.898686 604.811189 593.720070 596.233674 596.173090 588.659406 574.907357 584.571888 583.310443 575.153096 571.288330 576.122718 573.571530 568.734960 563.714408 558.784678 554.846701 554.974938 556.540454 556.023612 554.393642 551.387284 543.781497 530.188201 479.107088 438.686604 383.294434 341.105572 181.800458 120.740340 0.000000 234.134280 339.138459 393.424401 453.075473 471.548852 494.758164 515.009500 527.895451 533.483958 538.306481 534.132908 531.006788 534.351498 533.970672 524.209858 522.989643 537.209990 536.094282 484.928542 529.077680 540.340061 540.429388 543.562846 557.071235 560.350490 560.042745 564.200717 573.999380 576.689512 583.411699 587.316971 596.189322 608.364484 610.386473 611.872312 612.376062 613.485645 612.771789 615.928494 620.011514 624.387818 626.406687 627.044195 626.063878 625.627544 626.916690 627.419379 627.315988 625.095764 623.277405 615.465467 612.595028 607.796288 345.157705 349.125115 346.815898 341.684241 345.562724 352.023798 341.984947 335.950696 342.766212 337.438093 307.786675 335.740532 344.352074 346.382711 356.157182 372.369234 373.989878 377.289681 378.448790 382.078794 385.704103 395.960276 406.606800 406.947948 410.777155 412.411000 409.918410 405.110573 407.518605 408.991922 411.562594 415.089305 418.149908 418.392833 415.101806 409.705955 410.847978 405.238548 401.229090 399.662277 404.015810 400.846129 389.600495 392.212600 392.138998 384.552859 370.727502 380.452288 379.166390 370.908900 367.137702 371.966122 369.421659 364.604900 359.661190 354.832581 351.023514 351.556532 353.117611 352.842279 351.209894 348.319527 340.967359 327.672270 278.657732 242.920260 193.026364 170.510284 65.852428 47.890154 33.179645 0.000000 122.170806 188.134290 248.319143 268.430583 291.236020 311.110568 323.727384 329.179432 334.016668 329.802591 326.377739 329.713337 329.336174 319.423624 317.712185 332.041468 331.032874 275.262070 322.748751 334.754712 335.117362 338.130808 352.093912 355.682451 355.675228 359.657328 369.641598 372.651572 379.398866 383.359556 392.537742 404.712194 406.758476 408.241786 408.742774 409.850022 409.286218 412.395087 416.376441 420.717551 422.700994 423.331271 422.351083 421.885898 423.143843 423.630918 423.522874 421.291878 419.460046 411.574357 408.665037 403.824512 343.704602 348.197750 346.221436 340.538882 345.516363 352.706791 342.944998 337.293728 344.594382 339.969321 313.495016 338.622001 346.758843 348.738569 358.011376 373.456837 374.990343 378.225880 379.433936 383.035570 386.558841 396.628446 407.138582 407.403902 411.148139 412.683978 410.139373 405.449850 407.811395 409.160692 411.744141 415.295178 418.375818 418.593675 415.317523 409.904001 411.108008 405.536683 401.538853 399.973962 404.251286 400.980612 389.815981 392.210851 391.958214 384.184715 370.170167 379.824402 378.360316 369.808957 365.931672 370.678613 367.806181 362.484735 356.951473 351.673710 347.720203 348.890626 350.761541 350.615729 348.759126 345.810131 338.257844 324.345453 269.361482 236.396869 188.875421 199.447937 153.453362 146.116421 139.399819 123.386803 0.000000 152.022789 224.184015 251.463706 278.008960 301.369694 316.488718 323.079691 328.718550 324.272485 320.981699 324.999547 325.158974 314.313011 313.170852 330.054470 330.388351 280.180753 324.218315 335.946298 336.772032 339.948361 353.429853 356.965384 357.170662 361.031320 370.781284 373.829957 380.464432 384.345659 393.349315 405.333011 407.357407 408.824254 409.303822 410.341469 409.808906 412.865609 416.768777 421.058800 423.000599 423.623950 422.646752 422.144705 423.365945 423.833692 423.720647 421.480556 419.622545 411.641277 408.594763 403.610732 290.306620 295.882197 293.994788 287.155407 295.129934 302.453591 292.103372 287.138184 295.002173 290.160169 262.902180 290.359943 298.367342 300.038910 309.428045 324.987786 326.557405 329.897983 331.271976 335.360408 339.342069 349.272359 360.121413 360.638588 364.288166 365.740431 363.087628 358.411432 360.594985 361.687950 364.409840 368.105926 371.310745 371.553172 368.364910 362.994638 364.260302 358.854372 355.016205 353.437583 357.458695 354.122113 343.430354 345.159033 344.536668 336.488917 322.198930 331.579957 329.769379 320.765967 316.466093 321.043666 317.429161 310.947422 303.948553 297.469201 292.941215 294.742813 297.318049 296.981967 294.623180 291.307669 282.788192 266.855889 193.884922 157.346630 106.379967 154.552728 146.709328 146.600235 145.321463 140.985988 103.658491 0.000000 127.635714 163.508195 199.618032 231.895266 253.411589 262.941387 270.389649 265.524131 263.249227 268.782544 270.152135 257.695059 258.769011 280.898242 283.921798 254.630576 284.804902 294.503766 295.823822 299.584637 311.144917 313.975596 314.080843 318.006003 326.886370 329.413238 335.750322 339.350554 347.386857 358.950943 360.880779 362.316113 362.753683 363.642224 362.892672 365.925389 369.849766 374.094098 376.011486 376.633349 375.662513 375.134079 376.333900 376.788803 376.673602 374.434001 372.543956 364.492702 361.217880 355.997133 265.142674 271.680753 271.014093 263.445596 272.811237 282.383396 273.245241 269.867750 278.034534 275.089693 256.377096 275.734812 282.452222 284.055309 291.952846 305.202569 306.498085 309.582884 311.028335 314.808823 318.263441 327.572497 337.785950 337.927684 341.298382 342.420558 339.617423 335.377937 337.482881 338.269934 340.949377 344.657639 347.869117 348.001356 344.832593 339.377886 340.852214 335.524934 331.670706 330.103859 333.937696 330.246491 319.685016 320.845196 319.686412 311.031758 296.140729 305.361394 303.000818 292.984677 288.621782 292.911626 288.375571 280.485275 271.995720 264.488902 259.836157 264.287248 267.623023 268.167799 265.380009 262.323845 254.358327 238.972364 167.099234 171.214588 156.838537 188.052883 184.124467 184.345759 183.315549 179.513855 154.162731 105.978728 0.000000 105.156382 147.082659 184.781199 210.191538 221.462980 230.767610 225.008378 221.167941 228.951536 231.738710 214.519530 216.399469 248.693672 256.843148 242.302749 263.229718 272.626691 275.551874 279.738723 290.114905 292.985709 293.820449 297.331834 305.657933 308.474923 314.521667 317.936528 325.683737 336.703418 338.587801 339.974301 340.348629 341.036242 340.484071 343.333716 346.960983 351.034190 352.807292 353.403756 352.441433 351.787115 352.856861 353.244031 353.110839 350.836828 348.860659 340.474179 336.767914 331.094931 311.863573 319.656150 319.052775 310.177046 322.929808 332.486684 322.918634 320.132351 328.968784 326.110120 308.059678 327.817394 334.340945 335.753520 343.617822 356.789391 358.097821 361.258454 362.833078 366.964419 370.748220 380.036092 390.540986 390.885547 394.234710 395.346370 392.492494 388.202712 390.163753 390.740893 393.568179 397.401603 400.721293 400.894240 397.784938 392.375363 393.857293 388.625439 384.873258 383.298472 386.998628 383.322091 373.043547 373.884377 372.560684 363.858061 349.106098 357.865952 355.275667 345.308478 340.285684 344.185570 338.734302 329.396371 318.738120 309.408647 304.115955 310.452477 314.971623 314.941382 311.460918 307.801139 298.440963 280.633033 170.225890 205.875644 218.484289 249.709063 251.744181 252.979356 252.711935 250.548301 232.365429 192.774217 156.079389 0.000000 88.454194 169.524616 226.067439 251.484527 267.463745 262.416460 268.941119 277.851173 284.411256 276.246340 280.074890 305.601315 312.221306 302.795051 320.790022 328.926716 331.558735 335.844048 345.511350 347.974694 348.668828 352.231348 360.139774 362.636456 368.529752 371.797494 379.002419 389.835437 391.668387 393.041968 393.398920 394.022105 393.311317 396.168732 399.846618 403.911601 405.686627 406.285791 405.326734 404.670768 405.745789 406.134345 406.002408 403.733980 401.748732 393.368115 389.565900 383.790834 415.555785 423.103841 423.818049 415.810953 427.618547 438.149720 429.562472 427.621811 436.040241 434.076095 420.026111 435.638309 441.516880 442.934534 449.945529 461.765290 462.898871 465.848383 467.404220 471.170576 474.454234 483.223429 493.112696 493.090900 496.202930 497.030069 494.053418 490.161922 492.081728 492.439959 495.189877 499.006533 502.306609 502.371004 499.274662 493.789079 495.452194 490.276758 486.496276 484.935978 488.494887 484.507352 474.328794 474.729166 472.914458 463.729504 448.918599 456.939796 453.651615 442.900315 437.677401 440.481762 433.162680 420.913815 406.631396 394.731597 389.552181 404.135534 410.471194 411.787560 408.045496 405.372197 399.185502 389.622830 312.565104 340.808253 350.426592 374.806182 376.166358 377.151552 376.696061 374.128552 359.685496 329.658866 298.780479 189.229008 0.000000 150.386629 256.701508 304.555129 332.555924 327.880936 346.476793 359.359771 373.420009 373.871141 377.473284 403.358657 413.321657 409.227842 423.934558 431.879326 435.349983 439.720384 448.797360 451.358738 452.496805 455.763962 463.322700 466.077785 471.773122 474.919614 481.989474 492.398398 494.203417 495.538049 495.844618 496.309848 495.802437 498.499888 501.908865 505.824677 507.472652 508.048777 507.096861 506.330450 507.286814 507.613748 507.465442 505.165782 503.101936 494.413286 490.197752 483.982461 471.307160 478.624225 480.567373 473.372881 484.293041 495.732393 488.060490 486.907002 494.934811 493.804541 483.483302 495.230192 500.507515 501.930083 508.145303 518.704388 519.674855 522.427293 523.965408 527.390784 530.207402 538.492449 547.806815 547.442887 550.333553 550.895090 547.803863 544.284249 546.165802 546.320145 548.997511 552.798292 556.079864 556.042841 552.958551 547.401973 549.234243 544.111420 540.304455 538.757689 542.184816 537.906906 527.821573 527.810907 525.537789 515.902560 501.037165 508.368193 504.428152 492.944614 487.536167 489.315744 480.251566 465.281854 447.617560 433.322930 428.257315 450.548084 458.578009 461.152561 457.170432 455.421581 452.217582 450.318590 404.338415 425.674559 432.503555 450.502005 451.231937 451.983918 451.352970 448.408675 437.451804 416.341674 390.884593 324.705003 204.792203 0.000000 246.987297 311.312713 352.227596 348.472970 377.828853 394.292361 415.483188 423.964168 427.335308 453.557390 466.645095 467.520988 479.161331 486.927745 491.181006 495.630531 504.156954 506.810055 508.362329 511.353852 518.586411 521.582809 527.093472 530.126873 537.070964 547.084106 548.863081 550.161362 550.420907 550.738723 550.421272 552.969387 556.127294 559.903852 561.433221 561.987833 561.042581 560.173067 561.018637 561.288034 561.124444 558.795621 556.658391 547.682109 543.080661 536.454326 282.697112 289.861564 292.683700 286.060010 296.370703 308.462081 301.442594 300.858841 308.610452 308.078599 300.435413 309.412023 314.257844 315.683163 321.328676 330.985275 331.839201 334.451356 335.977651 339.161521 341.646452 349.586789 358.492950 357.886141 360.619274 360.991804 357.818891 354.563569 356.416862 356.424121 359.051274 362.841707 366.110955 366.002124 362.926602 357.319683 359.272248 354.187103 350.361562 348.824395 352.157432 347.673129 337.654623 337.350883 334.751741 324.796162 309.889693 316.732290 312.329965 300.326501 294.780505 295.839898 285.540263 268.649313 248.572782 232.554179 227.534810 255.271733 264.513632 267.978703 263.807885 262.701527 261.532838 265.231120 241.600575 257.990923 262.825810 276.245029 276.527250 277.112649 276.356373 273.142942 264.688280 249.975450 228.412385 193.365279 123.224534 59.104749 0.000000 95.332262 138.142340 132.572879 171.778298 191.342611 217.050861 231.303307 234.594791 261.049457 276.343575 280.791182 290.235489 297.871488 302.682834 307.189985 315.322385 318.039861 319.887782 322.682778 329.682118 332.849834 338.228556 341.181068 348.034299 357.765307 359.525618 360.797999 361.024039 361.236797 361.054067 363.495947 366.475370 370.152832 371.597817 372.137143 371.196643 370.253767 371.020611 371.249117 371.074667 368.725127 366.535726 357.355108 352.479374 345.560929 283.347489 290.301239 293.556514 287.325975 297.064713 309.450929 302.777398 302.402162 309.983384 309.724956 303.282007 310.954345 315.603286 317.038177 322.408718 331.629212 332.424352 334.960168 336.471448 339.510756 341.806863 349.560441 358.233332 357.487208 360.134167 360.403208 357.187201 354.080322 355.929378 355.877635 358.461996 362.236526 365.489890 365.337820 362.265034 356.628608 358.647881 353.580786 349.742181 348.210593 351.495470 346.895559 336.908364 336.450352 333.670686 323.538898 308.634779 315.180736 310.508096 298.207565 292.645939 293.212993 282.167935 264.063373 242.727015 225.978188 221.359553 252.495246 262.332548 266.337375 262.256214 261.667640 262.556030 267.766177 253.839999 267.853740 271.695856 283.021850 283.050501 283.551439 282.731619 279.381728 272.065991 260.291986 240.470565 219.569105 171.864894 124.216904 96.119000 0.000000 122.686134 142.815525 163.717765 179.004921 213.204502 229.997747 232.329890 258.987814 275.675658 281.698543 290.091288 297.693672 302.797916 307.322347 315.263237 318.025636 320.025821 322.717334 329.600911 332.866790 338.178947 341.091603 347.909798 357.491615 359.243137 360.501679 360.709822 360.866729 360.762712 363.146060 366.025787 369.649012 371.047589 371.578307 370.640302 369.657178 370.379650 370.585186 370.404613 368.043331 365.824836 356.528586 351.499030 344.416356 217.686094 224.654041 228.783874 223.017091 233.062235 245.507222 239.113174 239.233333 246.665120 246.613906 241.220453 248.071855 252.475801 253.845154 258.923780 267.649556 268.382816 270.845864 272.377030 275.351354 277.521716 284.985586 293.438821 292.576425 295.082714 295.189029 291.881619 288.980046 290.742741 290.481035 293.079865 296.897778 300.184712 299.986947 296.951816 291.296509 293.420573 288.430052 284.622847 283.097627 286.243794 281.477426 271.692223 270.848599 267.690011 257.294854 242.725528 248.228376 242.898742 230.296154 224.140951 223.276289 209.870293 188.332107 161.053855 139.534963 134.973398 177.971755 190.695632 195.218519 190.814251 190.995113 196.142941 205.183761 197.945617 210.816831 214.510852 224.393161 224.643206 225.153251 224.340282 221.005105 214.490991 204.526389 186.561335 172.334463 136.651829 101.917927 75.715219 59.472275 0.000000 85.807958 114.654795 121.219323 149.996568 170.402993 173.694964 196.917816 212.983476 220.483726 227.981634 235.027539 240.105117 244.558432 252.039595 254.683663 256.757489 259.340298 265.878606 269.125096 274.272697 277.060320 283.576245 292.848561 294.563229 295.795067 295.968350 296.011906 295.952967 298.250977 301.002454 304.537819 305.865724 306.384519 305.452138 304.405988 305.061893 305.232205 305.042766 302.666377 300.396802 290.922126 285.585524 278.171792 242.561191 250.026773 253.163422 246.432933 257.068112 269.658679 262.915527 262.782358 270.498349 270.366436 264.546175 271.754311 276.336803 277.756754 283.091433 292.266139 293.064577 295.626143 297.166730 300.286458 302.664065 310.506862 319.300415 318.624285 321.317274 321.640504 318.447271 315.255919 317.087876 317.020872 319.661343 323.463127 326.742426 326.621481 323.545772 317.924391 319.905786 314.826065 310.991430 309.456178 312.770110 308.235961 298.211113 297.846962 295.195704 285.152225 270.044356 277.037649 272.642495 260.482078 254.887864 256.292431 246.292684 229.862530 210.533100 194.869549 188.836307 213.985959 223.045186 226.665941 221.924093 220.392431 215.944519 226.024919 219.019691 232.387790 236.055894 246.393136 246.442806 246.927780 246.095950 242.720268 235.974166 225.590111 206.731343 193.216419 157.906082 124.092541 96.074998 105.530906 111.737199 0.000000 128.253923 148.354833 167.812248 186.882816 193.403303 219.337015 235.642912 242.716580 250.850817 258.400551 263.548031 268.153921 276.135978 278.884110 280.888646 283.604270 290.543937 293.787306 299.128030 302.060696 308.905188 318.564171 320.320806 321.586548 321.804063 321.990340 321.846961 324.260570 327.192486 330.844820 332.267950 332.803643 331.864261 330.902527 331.652171 331.871704 331.694799 329.340250 327.140504 317.918052 313.001575 306.042293 218.854562 225.332774 227.915916 221.711933 229.707129 242.520171 236.023138 235.136408 242.641650 242.530663 236.484036 243.108128 247.829197 249.408476 254.780232 264.060615 264.854713 267.373635 268.816217 271.685040 273.836806 281.760451 290.377635 289.570230 292.309606 292.677186 289.545969 286.350271 288.342609 288.545737 291.030347 294.700233 297.866225 297.715970 294.580069 288.922209 290.877124 285.703202 281.779909 280.248148 283.697554 279.181640 268.880913 268.843939 266.411248 256.435736 240.987565 248.788415 244.774349 232.525998 227.895943 230.045651 221.633380 207.495419 192.594264 181.007855 176.744405 196.060688 202.539756 206.608634 203.305777 202.509284 201.084911 201.707716 194.590288 205.693563 207.564486 217.436424 216.452402 216.752476 215.781537 212.107125 205.495088 196.126915 175.702615 172.552786 149.313646 126.260132 108.092125 99.244853 113.395743 101.065631 0.000000 110.688829 139.489909 149.822915 144.923447 184.017822 203.366172 209.129679 217.219882 226.051060 231.715395 236.367611 244.824601 247.916211 250.070027 252.758090 260.068274 263.570100 269.060206 272.130058 279.452494 289.319869 291.123630 292.404864 292.642984 292.902178 292.871724 295.298192 298.219110 301.898372 303.336467 303.872424 302.928962 301.983317 302.742294 302.968090 302.791966 300.435771 298.254693 289.063054 284.297283 277.501253 204.032548 210.162383 213.017373 207.173644 214.442497 227.447819 221.233274 220.434286 227.766757 227.814245 222.427771 228.321722 232.898304 234.473023 239.633163 248.568786 249.312271 251.757924 253.182227 255.913721 257.887144 265.589528 273.957456 273.005504 275.636731 275.878142 272.690757 269.674521 271.679567 271.860823 274.261780 277.896294 281.028332 280.819542 277.689986 271.997278 274.037496 268.895529 264.967884 263.441416 266.815833 262.153101 251.927415 251.652369 248.968392 238.750779 223.307086 230.712214 226.321604 213.574013 209.174027 210.534210 201.299013 184.897620 171.882966 163.562717 161.118668 179.992103 185.886209 190.698637 187.771311 187.517628 187.641685 188.174929 184.434620 194.935276 196.882002 205.712689 204.816525 205.110959 204.135777 200.452253 194.522466 186.669762 168.495740 166.472369 147.206154 127.733170 112.665967 99.541540 104.969801 106.176071 95.698359 0.000000 115.133221 137.279576 137.639100 163.845187 187.056269 194.922553 202.070771 210.223592 216.204921 220.898375 229.040164 232.102721 234.388924 236.980365 244.095351 247.656960 253.052108 256.055907 263.264043 272.927914 274.714452 275.977268 276.191438 276.374467 276.420733 278.777553 281.583354 285.196565 286.579227 287.104595 286.164320 285.170294 285.873001 286.069728 285.885922 283.515313 281.296342 271.954975 266.981216 259.963362 163.126175 169.511576 172.572955 166.680773 174.111683 187.622690 181.357365 180.718829 188.214492 188.398334 183.566910 189.071229 193.615410 195.181623 200.361724 209.348138 210.109918 212.607679 214.069420 216.930079 219.044399 226.927501 235.516631 234.690467 237.416165 237.766473 234.626230 231.437528 233.392313 233.499457 236.042603 239.747877 242.947038 242.807884 239.669659 234.005772 235.966801 230.793392 226.867898 225.333867 228.774768 224.249458 213.923436 213.855022 211.464369 201.430542 185.391101 193.941269 190.252789 177.904501 172.949759 176.816956 170.137693 158.895606 147.027984 136.952274 130.725718 137.545490 140.465170 147.789465 145.678667 146.649381 147.917962 147.065076 148.602128 158.792664 160.835730 168.820351 168.035874 168.332574 167.359098 163.679236 158.286039 151.643499 134.887060 136.636599 124.870538 112.528144 101.978364 97.345267 97.351192 89.237632 88.103585 78.737368 0.000000 94.533572 107.277312 124.356913 144.072468 156.212671 163.218541 170.793568 176.842218 181.833498 190.077154 193.097967 195.392546 198.049222 205.301979 208.825780 214.292931 217.347648 224.643241 234.473624 236.273870 237.551986 237.786114 238.032368 238.010201 240.427017 243.334449 247.006669 248.438336 248.974001 248.030820 247.079696 247.840326 248.066851 247.890782 245.534039 243.356099 234.174926 229.459747 222.725623 135.237656 142.096100 143.382139 135.985000 144.057181 157.497986 150.694563 149.418289 157.344524 157.299680 151.332911 157.795872 162.646750 164.286902 169.866487 179.539041 180.391033 183.007869 184.461705 187.471795 189.824017 198.142074 207.099971 206.476821 209.409762 210.003163 206.994641 203.502762 205.600757 206.071721 208.557126 212.181483 215.314463 215.234777 212.049342 206.419976 208.228792 202.955494 198.997339 197.454444 201.084447 196.803189 186.233972 186.698026 184.805055 175.184958 159.005179 168.565542 165.579090 153.966298 149.863250 154.262865 149.215412 140.556063 131.924264 124.597636 120.161737 126.053570 129.201206 132.005138 129.285424 127.386055 121.887916 109.881185 111.729296 122.183930 123.255143 132.555935 131.065938 131.268721 130.224586 126.392989 120.066379 111.812725 90.294182 101.097985 97.947972 93.635426 88.857113 86.764814 90.383920 80.934503 71.062894 73.510025 67.159875 0.000000 72.955450 99.318772 113.634058 121.028174 131.549307 140.040576 145.633650 150.606697 159.652546 162.812865 164.922706 167.748959 175.491558 179.002940 184.697192 187.921892 195.603013 205.876618 207.725599 209.042281 209.326657 209.735299 209.624465 212.170568 215.276324 219.078276 220.615805 221.168905 220.217775 219.360538 220.215184 220.491479 220.328099 217.993722 215.885549 206.951036 202.630195 196.316794 156.460026 161.505316 162.878323 157.372869 161.152580 174.149328 168.040352 165.792540 172.919647 172.863300 166.569500 171.753017 176.779277 178.707463 184.192139 193.759411 194.561219 197.023235 198.273884 200.678232 202.435660 210.679377 219.070422 218.066848 220.982744 221.532464 218.574441 215.246423 217.550976 218.294726 220.536143 223.966740 226.930003 226.763213 223.495036 217.785163 219.621106 214.218745 210.102172 208.576114 212.377641 208.007949 197.046947 197.916035 196.134029 186.496848 170.479019 180.112888 177.131378 164.993388 162.334535 166.526779 161.967033 154.206315 147.006908 141.129738 137.988975 145.992488 148.673007 151.990109 149.962050 148.839952 145.747382 139.374776 132.755596 139.548345 138.264148 146.647636 143.475555 143.374293 142.101413 137.778591 132.021261 125.983719 105.271162 118.023576 114.647157 110.103608 105.245638 102.193999 106.772932 100.552031 79.260467 86.966591 93.000656 86.052492 0.000000 101.193243 126.970123 126.367092 133.300552 146.666401 153.381156 157.941909 167.653958 171.612766 174.032414 176.693484 184.965978 189.028922 194.911438 198.331928 206.805879 217.275347 219.196293 220.524549 220.824891 221.298721 221.468641 223.969725 226.942778 230.724662 232.231990 232.775934 231.821593 230.942974 231.762048 232.021853 231.852855 229.503358 227.389133 218.371819 214.074849 207.782312 132.460067 135.617654 137.345396 133.361078 132.343113 146.458772 141.689969 139.415709 145.589609 146.187502 142.361624 144.367573 148.845143 150.827521 155.424409 163.569204 164.147601 166.264059 167.376154 169.033982 169.870753 177.179506 184.362366 182.637150 185.095899 185.112078 181.950306 179.398238 181.919793 182.837187 184.566915 187.716512 190.426665 189.978524 186.671906 180.757351 182.960776 177.624987 173.424783 171.914259 175.467809 170.436519 159.552900 159.522510 156.890843 145.961589 128.190528 138.935739 135.298365 118.685122 121.418086 126.659237 124.651777 122.090013 120.987072 119.926654 119.123253 124.633549 124.903572 128.940678 127.994285 127.509052 125.754597 120.631342 121.885953 127.209677 127.082459 131.733568 129.392024 129.358189 128.136036 123.922150 120.719155 119.927226 109.379641 115.364278 112.346806 108.139966 103.514580 100.666199 101.810060 98.300018 90.169118 84.986953 81.894532 84.230090 73.007518 0.000000 90.478605 104.180724 104.509044 110.944904 121.420903 126.699934 134.663135 138.442729 141.794504 144.014591 151.507417 155.961241 161.493426 164.681245 172.871382 182.530244 184.397519 185.650685 185.853602 186.020437 186.596827 188.796093 191.253075 194.765346 196.040416 196.538049 195.593869 194.515238 195.098944 195.238786 195.036955 192.621716 190.365060 180.731676 175.767691 168.787815 98.055126 100.766854 101.316776 97.662387 89.249555 109.367246 104.551257 101.492651 108.570542 109.893190 107.510547 108.704845 113.244472 115.213667 120.182326 129.064189 129.770934 132.184611 133.449849 135.761234 137.353095 145.545897 153.795670 152.689603 155.577819 156.103863 153.166621 149.865420 152.406085 153.553349 155.546074 158.794473 161.607597 161.393662 158.040976 152.249166 154.110253 148.641281 144.464174 142.918198 146.757407 142.320789 131.076346 131.865211 130.415842 120.558359 100.388977 115.118564 114.022151 104.698351 98.742409 106.834119 106.149022 104.112941 103.331757 101.999973 100.204839 100.910348 100.506099 102.364988 101.698186 100.190647 96.078498 87.322168 94.526592 99.064270 99.664357 102.277931 100.563278 100.595741 99.423467 95.316696 93.456176 95.353922 89.932258 94.387408 94.712946 93.630811 91.211838 89.757183 90.278860 87.009056 81.920608 80.601175 74.013228 70.948516 71.187539 62.881745 0.000000 71.583870 75.540405 78.619108 85.345438 93.665585 102.366047 105.672851 108.784761 111.466368 119.589637 123.739349 129.606348 133.016539 141.524374 151.943358 153.866604 155.189547 155.483113 155.935228 156.172650 158.654893 161.588813 165.375431 166.880865 167.422182 166.463990 165.586668 166.406726 166.669263 166.499419 164.142584 162.051316 153.052189 149.062761 143.142939 151.053847 153.482061 152.653196 149.212556 146.836938 156.822441 150.786995 143.994594 151.250011 150.803279 142.391562 144.605192 151.083872 154.119979 160.584287 172.007663 172.987753 175.489433 176.231029 177.670051 178.810180 188.612253 197.085420 195.952852 199.706627 201.146187 198.817268 194.609563 197.500254 199.349617 201.417365 204.475738 207.131083 207.133295 203.557783 197.883599 199.111278 193.021786 188.409211 186.910593 191.912873 188.459431 175.685596 179.880240 180.360235 172.884685 159.172051 169.634464 168.806748 160.824686 158.202555 163.276717 161.990151 159.184545 157.026216 154.665308 152.430678 153.902943 154.282661 155.483449 154.673531 152.952086 148.437987 139.973246 130.734670 124.993837 114.367157 113.677804 95.578467 92.760613 89.443920 80.732084 84.434770 107.248892 116.578051 126.147346 131.805324 135.692895 136.845637 136.966260 138.965303 135.268916 128.870307 129.653651 127.339623 119.528824 111.770700 117.770056 112.770062 0.000000 86.633495 105.582613 106.424463 107.885406 127.233229 133.478425 135.075319 138.108156 150.431995 155.843587 163.207246 167.902038 180.158295 193.029092 195.349422 196.873171 197.430966 198.775676 199.292484 202.212195 205.671152 209.919821 211.774245 212.372365 211.382187 210.822772 211.966936 212.400608 212.273868 209.990457 208.147447 200.025055 197.309635 192.663040 166.227172 167.730475 167.153616 164.633445 160.075942 169.543692 165.349724 159.934668 164.363592 164.759063 160.450141 155.608167 161.618332 165.253958 170.717241 180.726636 181.500390 183.632676 184.005924 184.118871 183.907868 193.924506 201.375269 199.499624 203.444291 205.032635 202.964904 198.800975 202.057528 204.335509 206.153082 208.902320 211.293485 211.230577 207.431213 201.633353 202.729034 196.204548 191.139706 189.681504 195.360215 192.021258 177.838738 183.991979 185.387792 178.661140 166.432354 176.648387 176.387645 169.423428 167.873941 172.565476 172.113006 170.619853 169.999548 168.936116 167.454615 168.902870 168.692907 170.171746 169.791754 168.441792 164.837639 158.002169 156.610777 155.618250 152.047208 152.255795 146.205223 145.453150 143.690635 138.316343 138.569910 147.520796 147.602598 154.239895 156.609617 157.430816 156.387522 155.456583 156.560788 153.500731 147.058088 146.899447 144.443070 140.147534 128.801738 128.195954 126.824175 96.731072 0.000000 87.686418 101.556086 102.260385 116.045761 127.260787 130.994216 133.070446 146.419985 153.779630 161.745844 167.068240 181.825153 195.672934 198.232142 199.827567 200.481527 202.173229 203.303550 206.245904 209.585473 213.917002 215.803890 216.401457 215.396568 214.879085 216.058545 216.514592 216.390527 214.100052 212.326953 204.340050 202.150438 198.037754 144.437944 145.238223 144.514756 142.596350 136.187975 145.429601 141.989942 136.636724 140.045439 140.776403 137.809203 130.392615 136.246958 140.113844 145.182008 154.663200 155.338309 157.337930 157.530112 157.055204 155.989620 166.484919 173.650082 171.570020 175.640630 177.348463 175.406105 171.148258 174.598466 177.163631 178.867891 181.478029 183.753538 183.686979 179.789740 173.953493 174.959338 168.253632 163.029608 161.572612 167.530854 164.308944 149.575674 156.416604 158.410915 152.073924 139.783717 150.885463 151.267411 145.468050 144.245454 148.803899 149.054868 148.595399 149.089313 148.889679 147.794928 148.558479 147.886760 149.211487 149.134771 147.857230 144.448773 138.079475 139.080933 138.450463 136.420528 136.029939 132.756649 132.464818 131.048563 126.417850 126.393440 133.315206 133.095117 138.472136 140.649931 141.292777 140.119068 139.154513 139.702240 137.146011 131.984812 131.147815 128.113644 124.734350 118.263133 110.727361 105.998424 91.775737 63.781965 0.000000 65.774739 77.847097 84.849427 89.717632 100.229688 102.545330 115.627247 123.244112 131.674792 137.290427 153.028429 167.333134 169.990056 171.620683 172.321512 174.177543 175.506578 178.484075 181.836802 186.235277 188.164018 188.766557 187.753943 187.278257 188.500375 188.980364 188.861207 186.574684 184.850518 176.994502 175.151000 171.404969 156.805396 157.232025 155.634318 154.130001 148.234733 154.355573 150.260345 142.404851 146.018491 146.420475 143.080840 129.590067 138.877615 143.778826 150.593074 162.496227 163.474969 165.689821 165.709317 165.284238 164.624528 175.975764 183.723410 181.945807 186.477245 188.692905 187.004045 182.172096 185.703324 188.567907 190.387463 192.998580 195.277787 195.370357 191.437786 185.730834 186.406329 179.523718 174.258023 172.814064 179.160652 176.502453 161.633189 169.441674 172.176122 166.901422 157.181612 166.454452 167.033367 162.193398 160.761599 165.084415 165.400345 164.948971 165.283098 164.870114 163.493984 163.336828 162.651830 163.354428 163.380814 161.893766 158.076608 151.539387 152.210421 150.091916 148.134968 146.362139 144.244788 144.122130 142.833152 138.475762 138.914435 146.330523 147.715561 152.799416 155.815850 157.241300 156.625675 155.954019 156.475079 153.988753 149.344409 148.824405 145.857556 142.022686 136.673150 132.898621 124.420016 104.312849 89.346894 77.470001 0.000000 75.930428 93.111503 95.973340 99.709031 105.689928 121.808981 128.755511 138.044320 144.276255 161.280079 176.719919 179.524270 181.251470 182.078340 184.350401 185.588352 188.832850 192.566427 197.217418 199.350164 199.988310 198.962383 198.666715 200.074022 200.650194 200.556623 198.319079 196.717048 189.342010 188.052039 184.864113 164.875491 165.049133 163.558912 162.317277 156.543476 161.369609 158.370614 152.174597 153.442331 153.837250 150.811903 137.345995 144.448400 149.762093 155.623646 166.534494 167.402490 169.332383 169.038867 167.506449 166.322193 177.608071 184.483993 181.999434 186.880313 189.406566 188.034937 183.133340 186.952379 190.138373 191.824698 194.197895 196.272113 196.361275 192.232337 186.470579 186.916920 179.582785 173.891043 172.523886 179.622603 177.270874 161.433808 171.104408 174.613412 170.257062 162.776182 170.859450 171.766234 167.872555 167.066809 170.858531 171.471146 171.449994 172.218187 172.188282 171.066983 171.067507 170.268127 171.034244 171.178083 169.800984 166.218860 160.028195 160.227250 157.838856 155.532926 153.616551 151.078880 150.881941 149.537077 145.059675 145.661232 153.661807 155.472878 160.655196 163.756719 165.261292 164.703294 164.048917 164.498861 162.165111 157.567093 157.088327 154.419304 150.566200 144.804370 141.748120 136.310631 109.344259 93.621661 93.112826 79.500896 0.000000 80.958410 94.790835 85.972414 87.858061 112.440232 121.152151 131.108905 138.379643 158.540913 175.439509 178.552865 180.391876 181.367483 184.163687 186.017687 189.383599 193.104816 197.909037 200.130603 200.778888 199.736051 199.531104 201.023393 201.646837 201.563239 199.335073 197.826146 190.707837 189.967852 187.328515 162.547949 162.127783 160.980304 160.249636 153.817356 157.605087 156.357734 151.389457 151.571869 152.468534 151.253919 139.994930 143.334019 147.980059 151.130285 158.513399 158.903879 160.211048 159.568921 156.281641 153.544555 164.031621 168.951545 165.053576 169.905985 172.340168 171.401492 166.895105 171.262999 174.921690 176.233295 178.056541 179.660697 179.539514 174.915624 168.769160 169.148021 160.934772 154.132420 152.804702 161.250155 158.650513 138.013133 153.852472 159.084530 156.196416 152.959539 159.300506 161.029780 159.248970 159.604533 162.518942 164.006097 165.259830 167.403514 168.542992 168.133887 168.274750 167.037205 168.019397 168.478107 167.375113 164.389017 159.040660 160.914822 159.440394 158.271851 156.589059 155.680010 155.764517 154.631399 150.608712 150.728656 156.808019 157.434993 161.908431 164.419628 165.373648 164.421626 163.575740 163.565958 161.733100 157.610015 156.816048 154.248892 151.197982 146.102352 141.297253 136.597025 120.278014 98.992969 91.701088 88.267903 72.544343 0.000000 75.796366 79.889324 73.105946 83.301151 101.568574 110.360447 117.241801 140.368435 157.863522 161.230730 163.101875 164.124485 167.117785 170.012523 173.248182 176.520390 181.322128 183.479640 184.105237 183.039564 182.806987 184.267921 184.884078 184.790772 182.514852 181.095989 174.004037 174.242895 172.574846 181.026791 180.177232 178.675514 178.394029 171.132648 173.431818 173.239610 168.598351 167.002903 168.645670 168.609824 156.993002 158.821762 163.337580 165.294941 171.126214 171.076539 172.484699 171.521456 167.470375 159.549624 176.144150 183.098100 180.838634 186.319194 189.477549 188.489664 182.583966 186.956979 191.197019 192.757657 194.886586 196.773380 197.025858 192.714337 187.026176 187.008934 179.273556 173.399295 171.923308 179.701243 178.146924 161.168493 171.929730 178.409244 176.227671 173.141502 179.016774 180.990122 179.576735 179.871611 182.723101 184.304501 185.666456 187.862667 188.999469 188.496884 188.099718 186.781381 187.432200 188.020187 186.856025 183.778014 178.574641 181.199096 179.633021 179.023382 176.947917 177.210725 177.486665 176.497570 172.784167 172.851104 178.225614 178.892714 182.958691 185.567922 186.613665 185.726019 184.925056 184.796942 183.068149 179.288542 178.465522 175.856622 172.945217 168.648077 163.663764 158.490746 145.110127 128.794912 115.156211 109.716657 104.963684 94.383283 0.000000 89.917134 93.968756 106.223081 111.417915 124.500623 132.620033 154.862623 173.123685 176.464424 178.418202 179.545698 182.854154 184.850581 188.400804 192.541408 197.682974 200.165158 200.856662 199.789616 199.819772 201.570247 202.330354 202.280612 200.107725 198.804771 192.407528 192.859705 191.454944 223.153175 222.240201 220.148103 220.018751 213.454452 213.915831 212.737502 207.153606 204.173270 204.944394 204.263529 186.477856 184.933430 194.389944 199.999751 212.116620 213.220861 214.862037 213.707408 209.990008 208.632536 220.983039 227.018967 223.597893 229.985575 233.968370 233.406601 227.560509 231.939922 236.033777 237.631009 239.681003 241.476013 241.838979 237.491432 231.978342 231.530705 223.435285 217.431962 216.260221 224.750829 223.970048 209.280366 219.877114 224.842992 222.719537 219.223214 225.141674 226.872257 225.252744 225.221635 228.209984 229.596819 230.661444 232.463808 233.227452 232.421628 231.532573 230.302384 230.601330 231.173055 229.848213 226.451192 221.033402 223.216407 220.639643 220.139691 217.034631 218.511426 218.973375 218.124222 214.711341 214.990779 220.265259 221.661850 225.587222 228.640385 230.100336 229.508337 228.859637 228.805165 227.007081 223.376755 222.686122 220.085597 216.989455 213.002122 208.949936 203.537053 188.641418 174.462738 167.602663 155.386745 138.079660 140.410637 131.851531 0.000000 88.920725 133.644282 132.624343 149.939800 161.602676 190.295923 212.424442 216.448813 218.706955 220.231517 224.909881 227.858478 231.922836 236.248058 241.729238 244.435994 245.161237 244.074521 244.311991 246.232005 247.079906 247.054502 244.932304 243.726917 237.734898 238.294744 236.976363 228.984268 228.021357 226.359984 226.229269 219.636287 220.402292 220.177223 215.361946 213.275774 214.175598 213.997576 199.899959 199.877699 206.182576 208.728573 216.852803 217.480660 218.630815 217.277321 212.122465 210.470461 221.762801 226.200294 221.516335 228.250307 232.488760 232.275388 226.647152 231.336430 235.620099 237.017598 238.767010 240.298713 240.598227 236.001636 230.383235 229.715015 220.988099 214.256344 213.303648 222.869341 222.423494 207.509880 219.349886 224.706578 223.250004 221.205841 226.433894 228.413532 227.479892 227.932036 230.586689 232.270441 233.773478 236.083996 237.308814 236.839648 236.330030 234.971344 235.531483 236.180678 235.019176 231.943968 226.807264 229.243516 227.261445 226.695267 224.187225 224.954210 225.307303 224.376252 220.787499 220.945495 226.284476 227.267293 231.243800 234.001601 235.185917 234.397390 233.645208 233.482032 231.816763 228.158876 227.371621 224.836331 221.909766 217.757249 213.264081 208.312717 193.768313 178.633026 172.012363 163.461699 142.059365 135.721317 137.997210 91.014782 0.000000 113.619645 125.771150 137.510070 150.881239 184.745256 208.617726 213.087278 215.475903 217.180641 222.518258 226.478254 230.626472 234.755738 240.353717 243.100832 243.825654 242.720488 243.011947 244.973775 245.847335 245.825439 243.697555 242.566984 236.737119 237.718908 236.812521 203.064306 201.607057 200.265054 200.565678 193.768717 193.129219 194.676493 190.977249 188.402291 189.478826 190.622939 178.795994 177.611608 181.980977 181.225555 184.925701 185.094456 185.449001 183.560645 175.820348 174.629327 183.574985 185.005533 177.818233 185.404665 190.344877 191.084103 185.723302 191.083693 195.907045 196.924969 198.003595 198.947783 199.168345 193.907500 188.080509 186.658969 175.985468 166.525584 166.452274 179.708211 180.655149 167.028152 180.753197 187.036408 187.583807 189.363621 192.617795 195.263379 196.278910 197.729832 199.562559 201.976493 204.531288 207.960750 210.141744 210.262337 209.905275 208.198579 208.917437 209.844866 208.922908 206.349620 201.891899 205.304614 203.886120 203.882900 201.582282 203.001013 203.468988 202.624368 199.221222 199.144911 203.614296 204.042845 207.601679 210.009792 210.867929 209.846183 208.978238 208.469793 207.205883 203.918513 202.936059 200.538541 198.101817 194.479196 189.206359 184.885439 174.541605 160.432017 153.543733 148.030205 135.090989 114.365975 118.700988 104.187793 82.069098 0.000000 79.157912 82.901421 88.912787 133.799001 161.275511 166.669563 169.328414 171.409612 178.119053 184.119343 188.538390 192.389357 198.342691 201.259877 201.997148 200.841217 201.329507 203.469222 204.445305 204.441946 202.316754 201.428017 196.234779 198.440373 198.726496 257.107502 255.266457 253.330421 254.132875 247.277047 243.595529 246.331570 242.877264 238.266543 239.231483 241.782061 228.919178 223.663636 228.250617 224.307132 230.240669 230.928782 231.318723 228.446727 218.466027 218.494767 230.599974 232.945752 225.937149 236.395095 244.108814 245.175265 237.679307 243.176062 248.690488 250.076376 251.540861 252.807286 253.811940 249.372641 244.682947 242.404738 233.653916 229.259413 228.108563 237.440474 239.815588 229.794999 239.496318 245.329710 246.315060 247.472544 250.558355 253.161354 254.124555 255.251927 257.198413 259.494820 261.851861 264.984322 266.857927 266.682587 265.649663 263.961332 264.208597 265.228194 264.172266 261.350320 256.881645 260.699151 258.864947 259.298516 256.368525 259.025075 259.691018 258.995338 255.912034 255.874422 259.822002 260.540673 263.779200 266.445715 267.545165 266.694738 265.924956 265.397121 264.130090 261.101176 260.178507 257.743180 255.294038 252.222978 247.341022 242.715990 233.634036 221.472501 214.841436 208.657573 197.483746 186.314237 177.576661 156.848692 147.901441 132.838750 0.000000 80.712595 112.468905 162.589140 201.058905 207.750209 211.303592 214.484639 224.801526 231.369631 237.261752 242.836589 249.910412 253.727814 254.630237 253.457461 254.693699 257.531244 258.853752 258.958144 257.098722 256.447377 252.700226 255.069566 255.605599 354.965406 352.874021 351.175346 352.190539 345.320755 340.810271 344.751224 341.970845 337.611716 338.708860 341.642238 330.117519 326.013033 329.314676 324.612169 324.426060 324.607259 324.188425 320.646657 307.247397 311.190357 319.418568 318.176772 307.922308 320.852305 330.802954 332.836218 324.926258 331.098934 337.080522 338.269435 339.307311 340.181021 341.478427 336.989705 332.743306 329.481640 320.420910 317.907853 316.727903 325.715436 329.638894 322.129665 331.027735 337.037081 339.350743 342.314372 344.246198 347.174449 349.144948 350.776257 352.295583 354.955879 357.833619 361.522383 363.875988 364.004629 363.092761 361.233329 361.565944 362.742132 361.827657 359.288399 355.171119 359.438085 357.961489 358.591733 355.882564 358.604866 359.286348 358.602359 355.544162 355.393731 359.043921 359.472251 362.557329 365.025885 365.940662 364.958293 364.121947 363.429556 362.355649 359.476116 358.458489 356.095166 353.873124 350.990328 345.758041 341.467822 333.882529 322.323548 316.156950 310.831217 300.325334 287.990943 283.544203 267.048983 252.525195 229.467094 173.597429 0.000000 133.843638 226.173705 272.644805 281.971033 286.196725 290.439861 304.833500 314.477786 321.527797 327.543571 335.537797 339.953968 340.947657 339.723873 341.505782 344.816432 346.383720 346.555600 344.835119 344.461491 341.832817 344.976713 346.313244 326.313663 324.009481 322.433272 323.639675 316.744513 311.450139 316.272957 313.971318 309.554044 310.727319 314.079431 303.371138 299.477160 301.963591 296.368283 292.708042 292.588475 291.634669 287.689538 272.320475 278.139826 283.910477 280.114732 267.743943 282.355798 293.988533 296.762843 288.518062 295.157555 301.498133 302.552692 303.279950 303.861957 305.386199 300.833750 296.922499 292.850780 283.313435 282.804656 281.784072 290.162741 295.321842 289.961125 298.023125 304.130295 307.462549 311.740947 312.804943 315.971072 318.692733 320.675663 321.884301 324.807988 328.060541 332.142289 334.830446 335.162091 334.282455 332.296579 332.654928 333.953102 333.130991 330.778563 326.919100 331.547918 330.283960 331.105449 328.485508 331.399234 332.115017 331.456835 328.454056 328.224162 331.593356 331.836315 334.774274 337.121582 337.923266 336.860009 335.983806 335.166382 334.237518 331.495172 330.411491 328.099086 326.047028 323.360022 317.895063 313.827216 307.526523 296.595148 290.721789 286.012354 276.545275 263.821500 260.612816 247.661062 234.845568 204.427663 174.302943 102.792842 0.000000 177.526093 223.066499 235.790965 240.066990 244.936683 262.694254 274.793678 282.749238 289.125081 297.841862 302.730442 303.795873 302.530905 304.746222 308.426560 310.186145 310.410671 308.797514 308.645884 306.907511 310.641209 312.588417 258.480385 255.388769 253.689648 255.743802 248.764337 239.048320 247.398083 246.641433 241.008143 242.360679 247.685128 238.834711 233.979262 233.921332 223.978677 209.296445 208.759204 206.378716 199.684450 173.561783 191.179227 194.112166 186.354179 168.403981 190.470652 208.064955 212.417205 201.180912 209.118092 216.971058 218.113305 218.657680 219.074810 221.837726 218.245449 216.156674 210.207874 203.713008 206.890920 203.626952 210.093674 218.647688 219.243681 223.386121 229.632472 235.403043 242.237893 241.268483 244.972866 249.332663 251.891567 252.482943 255.924903 259.894709 264.670770 267.912901 268.506457 267.241542 264.976100 265.072112 266.718338 266.021678 263.941575 260.689247 266.508535 265.569160 267.116148 264.393619 268.432920 269.338000 268.822234 266.125289 265.720866 268.122706 268.076573 270.472247 272.684489 273.360405 272.206288 271.295049 270.175355 269.575057 267.310655 266.112675 263.887727 262.221196 260.327021 254.578248 250.828100 248.275828 239.845109 234.952839 231.509227 225.199593 215.441183 211.348454 204.847358 197.202632 177.806924 152.916225 123.615957 106.019141 0.000000 111.824866 120.161610 129.157551 137.647966 162.497850 177.961320 188.799054 197.596279 208.576969 215.130598 216.483737 215.148810 218.782785 223.800726 226.230565 226.654737 225.504009 225.930242 227.066738 232.146714 235.557689 319.130602 315.781456 314.884152 316.956844 309.976031 301.508513 309.843850 309.567764 304.619851 306.082343 311.324515 303.763866 299.645227 299.189776 289.766493 274.148899 272.163102 268.219082 264.692276 248.926388 250.907548 237.194398 211.252867 186.776512 211.714316 238.957143 246.997688 235.945579 245.714995 254.144227 254.423310 253.189713 251.797777 255.749469 252.800494 253.021571 243.543602 240.673445 250.529774 250.606794 249.405189 261.739887 268.759881 269.756416 275.949222 284.867270 295.383461 291.808132 296.166489 302.703738 306.406201 306.046937 310.273793 315.369187 321.372743 325.695874 327.015993 326.268818 323.660764 324.084610 326.031595 325.682762 324.259284 321.662122 327.960201 327.610218 329.365305 327.058866 331.047215 331.951856 331.435759 328.738105 328.142926 330.125157 329.534618 331.743630 333.531777 333.811911 332.375660 331.315230 329.886036 329.672405 327.616395 326.214911 324.156474 322.933166 321.234854 314.675474 311.685448 311.584989 304.131254 299.695908 297.387431 292.536554 283.374634 280.047880 277.414241 271.513467 255.721799 241.824355 220.525420 201.997912 162.263231 0.000000 88.437598 80.334605 86.922250 148.685938 188.546540 206.348110 216.652770 232.462368 242.022450 243.821658 242.263752 248.636570 255.672407 259.147972 259.876053 259.416505 260.799428 265.944954 272.899160 278.348967 375.245576 371.820650 370.944484 373.089125 366.103338 357.306653 365.946215 365.820382 360.807158 362.292541 367.688995 360.337370 356.186512 355.515786 345.793885 329.196993 327.028258 322.705636 319.185120 304.298726 305.260226 288.727756 258.624931 245.758700 263.967275 292.010514 300.674819 290.535881 299.637617 307.931285 308.001040 306.317511 304.286034 308.453838 305.816403 306.606735 296.431070 294.988592 305.543402 305.925795 303.827054 316.411203 324.335105 324.937367 330.958769 340.234052 351.099414 347.245117 351.635609 358.412998 362.209812 361.757772 366.057576 371.256597 377.364549 381.775081 383.144877 382.386118 379.742122 380.156244 382.143963 381.819070 380.443697 377.922312 384.337813 384.039125 385.861388 383.564640 387.640319 388.559996 388.055212 385.381850 384.764785 386.652456 386.016464 388.174043 389.934259 390.188350 388.733434 387.664215 386.198166 386.026503 384.017619 382.598911 380.554183 379.379610 377.753262 371.140212 368.206157 368.502783 361.287925 356.950293 354.789245 350.247372 341.339305 337.986083 336.036074 330.580482 315.713314 303.113121 284.449112 269.319840 225.197437 143.035061 0.000000 83.650491 134.629514 190.546324 223.426300 250.081735 263.735807 280.992369 291.908728 293.909558 292.312997 299.862724 307.505839 311.316287 312.144091 311.930228 313.553409 319.573561 326.792518 332.550632 472.594027 469.154391 468.352083 470.490020 463.503442 454.865419 463.470124 463.374864 458.434585 459.927634 465.300549 458.052903 453.975107 453.286126 443.640044 427.049893 424.784270 420.373722 417.096530 402.974282 402.800132 385.211961 353.912252 341.813223 357.600892 386.631823 395.825714 386.299303 395.314612 403.503688 403.412995 401.427089 399.069974 403.277662 400.564402 401.542305 390.809200 389.835578 401.140719 401.904823 399.159103 412.048957 420.599310 421.020418 426.979854 436.537421 447.742633 443.664859 448.100472 455.075065 458.977970 458.439621 462.809803 468.110747 474.330539 478.840222 480.277877 479.573983 476.900140 477.351359 479.361605 479.067518 477.751070 475.285373 481.734813 481.488312 483.323911 481.066802 485.128667 486.046779 485.540817 482.864927 482.231398 484.087556 483.402730 485.547390 487.268657 487.486397 486.005581 484.922523 483.429770 483.292011 481.298619 479.861494 477.832065 476.696057 475.081284 468.393145 465.528866 466.026298 458.883117 454.580685 452.516212 448.086149 439.210216 435.939627 434.293983 428.968873 414.371931 402.666271 384.674570 369.595632 330.193144 230.931834 179.650257 0.000000 190.093227 273.394289 318.312710 344.015582 356.556110 374.693945 385.943168 387.981316 386.328715 394.236686 402.080708 406.000334 406.858352 406.709611 408.446930 414.849755 422.251865 428.206234 408.535827 405.077035 404.369016 406.498993 399.510968 391.073283 399.635701 399.581088 394.732094 396.234643 401.580357 394.468063 390.480563 389.763604 380.204309 363.611190 361.236807 356.736667 353.738167 340.418172 339.011147 320.315488 287.749296 276.685421 288.742877 319.012795 328.941290 320.385404 329.216672 337.214979 336.884634 334.448726 331.593259 335.844853 333.032581 334.275277 322.760176 322.493233 334.778644 336.020186 332.471684 345.741710 355.128097 355.333639 361.192948 371.120336 382.770630 378.402728 382.892210 390.126019 394.167520 393.516231 397.978101 403.412043 409.777562 414.416409 415.942380 415.309516 412.596851 413.096652 415.135603 414.881143 413.640837 411.247472 417.741811 417.562674 419.416407 417.209963 421.255882 422.172285 421.665037 418.986386 418.331437 420.145597 419.397529 421.524813 423.195697 423.366413 421.852092 420.751137 419.223524 419.129997 417.157210 415.696135 413.686664 412.600905 411.002096 404.216532 401.442903 402.204563 395.157547 390.901986 388.963552 384.682228 375.853297 372.687593 371.439015 366.294081 352.073599 341.467788 324.538176 310.085795 274.304030 173.139950 166.249751 125.713697 0.000000 189.466920 252.557991 275.874944 285.801811 305.535224 317.291894 319.381994 317.627765 326.112726 334.255010 338.338429 339.242059 339.193545 341.095438 348.034272 355.683199 361.903124 296.243968 292.712600 292.288785 294.411194 287.414495 279.500233 288.008986 288.112181 283.520124 285.056296 290.358929 283.703888 279.978011 279.121705 269.742859 252.896920 250.173027 245.341566 243.130154 232.243747 227.150295 204.764576 168.017715 161.513130 160.341334 195.433486 207.805212 202.207000 210.504098 218.036386 217.044537 213.385806 209.306875 213.565303 209.974552 211.739421 197.582703 198.922107 214.742315 217.606716 211.549417 226.196098 238.299399 237.827696 243.417065 254.520031 267.610140 262.323047 267.002353 275.055710 279.535671 278.527017 283.281546 289.139346 295.968310 301.016687 302.820499 302.400200 299.562452 300.210105 302.341510 302.210407 301.208877 299.049352 305.706254 305.741395 307.665761 305.613544 309.633032 310.547989 310.039655 307.358668 306.634118 308.299172 307.350175 309.413032 310.925962 310.949263 309.329885 308.173079 306.532115 306.581308 304.681439 303.144198 301.197952 300.274581 298.740961 291.648401 289.160052 290.814308 284.114283 280.023051 278.500647 274.743466 266.111631 263.261084 263.382414 258.896733 246.048075 239.049709 226.196850 215.108400 186.418948 122.168673 109.431595 96.279794 76.731954 0.000000 131.183088 150.658002 158.731405 180.398773 192.990976 195.167331 193.256651 202.640509 211.348556 215.739444 216.720957 216.811105 219.139374 227.403973 235.799639 242.798402 305.815444 301.977450 301.030927 303.615292 296.619606 285.449194 295.961824 296.616834 291.050192 292.658294 298.980661 292.531912 288.050550 286.250314 274.761124 252.547002 249.181478 242.280046 238.928371 231.341241 224.083904 187.690862 128.806946 185.734923 185.118965 213.214987 222.650419 212.725948 219.157761 227.776541 227.493120 224.690823 220.358162 226.330354 227.305590 231.535928 220.578188 226.369317 237.391886 238.430317 231.970450 244.935803 255.771378 254.014369 259.437368 269.913823 281.625200 276.779782 281.260814 288.808051 292.805808 292.088280 296.588614 302.061768 308.415972 313.014602 314.453514 313.444578 310.684111 310.898160 313.077153 312.806409 311.537839 309.291716 316.283163 316.130173 318.293744 315.942910 320.543503 321.551335 321.112874 318.581940 317.888632 319.336696 318.585080 320.489320 322.205627 322.418888 320.934231 319.856137 318.260252 318.225006 316.438061 314.977539 312.962862 311.950823 310.697957 304.011867 301.184550 303.118192 297.031681 293.139162 291.525675 288.384541 280.793446 277.044587 278.118086 274.643806 263.835441 257.404891 247.628212 238.994900 213.669495 173.816350 154.098648 152.985291 151.610101 142.970164 0.000000 104.028987 152.326587 174.346700 193.410785 196.738920 195.285015 209.321240 220.421911 226.120977 227.533692 228.837212 231.513723 242.009456 250.178499 257.160659 307.806332 303.991805 303.415654 305.859885 298.883468 289.043872 298.889621 299.470025 294.363360 295.973779 301.947277 295.706559 291.617592 290.045720 279.357812 258.925063 255.160425 248.669435 247.758692 239.786372 228.467574 192.511810 120.287712 186.105641 180.293238 205.148629 215.892767 210.057652 215.384757 222.317163 220.563571 214.873230 206.358879 213.410793 217.407185 224.525974 212.731607 223.804920 234.994023 236.351181 228.104616 240.905947 253.818288 251.521819 256.311252 267.846990 280.710140 275.011373 279.509050 287.848941 292.267852 291.208290 295.968746 301.824675 308.604248 313.588023 315.304449 314.589976 311.727361 312.129515 314.380811 314.240871 313.213620 311.151283 318.143144 318.181175 320.314888 318.151119 322.555779 323.534004 323.073267 320.494497 319.749022 321.173101 320.238414 322.150422 323.706765 323.770691 322.179798 321.043173 319.361950 319.442302 317.668216 316.138047 314.183365 313.300613 312.002729 305.014821 302.470481 304.841590 298.777722 294.920347 293.573859 290.554141 282.832792 279.398497 280.986132 277.595711 267.058175 262.100699 253.481910 245.754148 223.310916 190.421608 179.557769 177.491851 173.730742 161.248765 102.832674 0.000000 111.225807 133.084413 161.946758 166.914459 165.990675 187.217639 201.878860 209.576581 211.599858 214.480718 218.315890 232.975686 242.137223 250.352124 330.663121 326.975323 327.014769 329.146054 322.192023 314.983258 323.405687 323.738019 319.494327 321.072997 326.322593 320.295759 316.896540 315.857094 306.716405 289.626214 286.392846 281.145430 280.284053 272.190482 262.167231 234.704814 186.684604 212.654613 188.004773 210.391426 225.565252 231.895418 234.190501 236.904281 232.011989 220.427810 204.135089 211.802342 218.387442 229.713254 212.999314 236.339188 248.707443 251.112085 239.991201 252.639398 269.332146 267.074506 270.362324 283.637643 298.482475 291.500597 295.926505 305.558966 310.698068 309.074533 314.259311 320.748441 328.239811 333.874173 336.070730 335.922923 332.902938 333.694666 336.013899 336.080855 335.444607 333.648534 340.549363 340.889250 342.921425 341.082979 345.079620 345.994918 345.486839 342.806402 341.982741 343.428029 342.196232 344.158860 345.446294 345.259148 343.489772 342.253451 340.443978 340.704769 338.919686 337.274400 335.421349 334.736921 333.306333 325.802355 323.734952 326.631099 320.447843 316.603625 315.637988 312.605910 304.435552 301.869653 303.641906 300.055528 289.239694 286.006088 277.828235 270.460542 250.438693 219.056819 211.542393 208.362930 201.988160 187.652720 169.460826 129.556359 0.000000 100.659947 136.780351 141.548172 135.488797 171.500705 191.562370 202.291239 205.221378 210.375612 216.246846 237.348526 248.198683 258.441521 379.792654 376.089445 376.486045 378.515358 371.603303 365.491882 373.376275 373.674424 369.817526 371.392030 376.370940 370.558625 367.468840 366.583826 358.049319 342.132673 338.999999 334.130348 333.552242 325.888741 315.497002 290.150697 248.476486 269.634941 249.705131 251.538019 265.726145 280.531027 278.532950 276.711247 268.429461 249.965378 222.417710 234.301507 252.928543 271.570163 261.105323 285.187859 296.529820 299.049304 287.023265 296.780905 316.036381 313.262352 314.914218 329.352888 345.185910 337.224430 341.328109 351.958725 357.522129 355.512489 360.952765 367.825264 375.724602 381.727560 384.184807 384.288746 381.168271 382.101491 384.515311 384.713056 384.313441 382.710786 389.640859 390.160391 392.183653 390.510028 394.359355 395.252869 394.728401 392.012770 391.138023 392.537620 391.134698 393.089102 394.227364 393.900966 392.032493 390.741935 388.844602 389.222362 387.464206 385.752870 383.958827 383.404132 381.953476 374.179885 372.386829 375.745027 369.644631 365.867359 365.154238 362.275390 354.102548 351.876478 353.988344 350.518766 340.058287 337.945169 330.687721 324.042582 306.284641 279.731676 273.664214 271.366023 266.586832 254.185347 236.346197 196.280223 145.525205 0.000000 89.509101 107.467132 121.326137 167.396917 197.458262 213.936777 218.654066 228.595576 237.158080 268.628455 281.247908 293.917867 416.668356 412.967002 413.672689 415.598593 408.718337 403.638663 410.996900 411.240016 407.737889 409.305202 414.019041 408.365186 405.558440 404.842352 396.891853 382.158343 379.162923 374.700443 374.297436 366.862887 356.442376 333.610734 299.425373 311.591609 291.438510 281.256638 295.042237 316.783844 311.526840 306.049260 295.033656 271.047048 234.580646 252.085365 278.428232 301.880066 294.616295 320.530275 331.399542 334.112703 321.126809 329.228216 350.464035 347.353230 347.850680 363.221559 379.910456 371.166478 375.104045 386.497578 392.410199 390.094402 395.746196 402.933683 411.173845 417.485441 420.163267 420.491606 417.288242 418.351541 420.839153 421.147137 420.946685 419.500034 426.436407 427.106746 429.110667 427.581859 431.285354 432.156941 431.615977 428.864920 427.948529 429.323715 427.776506 429.732835 430.744046 430.299041 428.346185 427.009219 425.041213 425.514199 423.771008 422.004238 420.259201 419.810368 418.329511 410.323661 408.760969 412.468157 406.400225 402.664806 402.155691 399.365662 391.128767 389.227368 391.563807 388.134587 377.844179 376.631278 369.972598 363.799869 347.706977 324.160464 319.449279 317.483954 313.212208 301.646257 290.278990 260.011275 216.514317 124.377807 0.000000 86.952317 135.045963 172.159175 205.919689 225.941847 231.633967 244.337238 254.431194 292.673780 306.540252 320.876081 508.874718 505.193748 505.933781 507.833745 500.950209 496.061501 503.321798 503.549034 500.110427 501.676178 506.338888 500.708246 497.953255 497.270972 489.428999 474.917508 471.953427 467.566400 467.179187 459.780157 449.409255 427.046673 393.934406 404.667138 384.445108 372.760808 386.938720 409.361805 404.251202 398.996783 388.161609 364.645773 329.259490 340.973625 367.726535 392.327761 385.199143 412.131150 423.015201 425.827774 412.738704 420.317325 442.109690 439.044120 439.257557 454.805518 471.682256 462.845529 466.655436 478.225039 484.215652 481.834919 487.526678 494.778906 503.088551 509.464166 512.189442 512.575718 509.359561 510.472090 512.952288 513.272665 513.101313 511.674147 518.603835 519.298633 521.296105 519.793029 523.467206 524.334317 523.789986 521.031699 520.108381 521.482079 519.909471 521.868500 522.856672 522.390155 520.422012 519.076438 517.096510 517.586393 515.843466 514.066107 512.331367 511.899969 510.409956 502.357795 500.838788 504.602779 498.534293 494.803847 494.330338 491.550448 483.290864 481.455373 483.825552 480.395910 470.117951 469.070202 462.502789 456.401801 440.596617 417.496174 412.986610 411.058603 406.838810 395.359112 385.143626 356.515477 312.818639 233.872340 178.488818 0.000000 199.084215 256.932557 285.398328 308.797010 314.926638 329.349396 341.001699 381.422829 395.627567 410.448057 410.512913 406.842933 407.559416 409.458084 402.567151 397.650106 404.920996 405.142602 401.691672 403.257070 407.923985 402.277452 399.514028 398.832929 390.978829 376.451433 373.490918 369.100765 368.692975 361.263550 350.942826 328.592167 295.329876 305.880893 285.341735 274.489831 289.400198 311.182153 306.597677 301.907942 291.500151 268.893151 235.151795 245.102378 269.719901 293.323239 283.795119 312.907546 324.147022 327.068933 313.941824 321.922308 343.631484 340.680705 341.043530 356.523886 373.383422 364.631134 368.484499 379.976146 385.945768 383.591124 389.269158 396.501027 404.791419 411.150012 413.864374 414.246131 411.036045 412.152784 414.619710 414.930856 414.744963 413.303281 420.225139 420.910235 422.904561 421.394730 425.070158 425.937349 425.393078 422.634918 421.714590 423.094650 421.530556 423.492850 424.488164 424.028310 422.064920 420.721840 418.747536 419.230419 417.483411 415.709240 413.971594 413.532247 412.039023 403.997022 402.464004 406.196009 400.112812 396.374640 395.887818 393.091019 384.808600 382.971735 385.322243 381.874153 371.545428 370.480834 363.862412 357.720241 341.845098 318.521675 313.973458 311.989410 307.667989 296.031840 286.273128 258.175101 209.342671 150.314752 129.165871 101.667623 0.000000 158.581889 193.394316 214.940214 220.990695 234.634567 245.841700 284.823768 298.856567 313.401020 313.824267 310.147693 311.135101 312.950353 306.090507 302.038630 308.873297 309.055917 305.904800 307.464914 311.912984 306.411672 303.886316 303.340234 295.970905 282.416299 279.560870 275.503311 275.264371 268.052012 257.634848 237.307076 210.297881 213.577226 192.731522 168.352023 185.015409 213.556742 206.018892 198.173696 185.376606 157.958560 116.793040 128.596100 163.602417 192.417000 189.285488 216.152453 226.455580 229.335232 215.269147 221.754748 245.063230 241.664379 240.970807 257.295087 274.867692 265.390074 269.084653 281.267916 287.542218 284.913530 290.778152 298.286964 306.874975 313.502689 316.408334 316.979299 313.695861 314.918342 317.455178 317.863902 317.853277 316.551679 323.486087 324.303241 326.285015 324.899518 328.455437 329.304770 328.747064 325.960054 325.002864 326.356537 324.666559 326.627206 327.512074 326.949117 324.912364 323.529038 321.491707 322.059006 320.328088 318.505535 316.810790 316.465330 314.950724 306.708713 305.377002 309.426914 303.385649 299.689275 299.382471 296.676393 288.366343 286.792212 289.350034 285.955932 275.824039 275.507393 269.434642 263.725878 249.269394 228.684814 225.313505 223.687702 219.943271 209.206019 204.099674 183.192385 149.144900 100.175853 70.069405 63.306285 62.372210 0.000000 73.753676 94.423565 102.346828 118.767104 130.701667 176.200711 191.411808 207.536132 372.692644 369.124811 370.259560 371.953648 365.080695 361.889286 368.295567 368.418469 365.558295 367.112511 371.335782 365.967942 363.676270 363.267001 356.372750 343.759194 341.041105 337.287652 337.111598 330.144900 319.998589 301.425247 277.673211 277.928347 259.538983 237.658169 246.026971 275.962702 269.279474 262.614904 250.863963 226.053237 189.374746 169.472218 205.563562 243.779055 246.328912 274.414257 284.137699 287.435219 274.099372 274.926655 301.894416 298.795474 295.895756 313.176065 331.674984 321.700600 324.196397 337.597625 344.328836 341.289473 347.371341 355.249791 364.217491 371.196225 374.360453 375.240730 371.891610 373.383745 375.868194 376.334305 376.470279 375.271602 382.182982 383.123324 385.082457 383.821646 387.249457 388.079479 387.507244 384.689032 383.695139 385.027392 383.207338 385.173260 385.939471 385.265721 383.150243 381.722543 379.618646 380.279684 378.558098 376.679275 375.042454 374.791009 373.240832 364.763452 363.668094 368.042111 362.036143 358.382427 358.260812 355.639716 347.298311 346.013720 348.741082 345.388794 335.434787 335.815972 330.216325 324.877250 311.758369 293.191685 290.427654 289.002757 285.556588 275.385100 272.671378 255.324640 226.677599 187.708232 161.300953 149.243090 154.655670 131.224710 0.000000 71.739798 79.882009 112.870097 141.623458 207.800459 225.630412 245.872626 455.778349 452.258585 453.477974 455.112702 448.237581 445.485900 451.673551 451.768626 449.058209 450.609458 454.718768 449.422568 447.250325 446.909566 440.257450 428.122748 425.472849 421.874756 421.736626 414.895745 404.872378 387.193570 365.232413 363.735075 346.256523 324.206367 329.979261 360.667374 354.170143 347.759500 336.279137 312.219916 276.868297 248.856833 283.503904 324.554966 329.499796 357.523636 366.822630 370.266227 357.212774 355.337966 384.031566 381.029216 377.025900 394.776450 413.725078 403.469029 405.341877 419.384345 426.349903 423.095512 429.290241 437.359791 446.522609 453.681451 456.977638 458.011911 454.627807 456.249648 458.715231 459.214168 459.429244 458.287981 465.190998 466.196289 468.145283 466.949032 470.312481 471.132838 470.553332 467.719506 466.706284 468.025694 466.137907 468.105214 468.809804 468.078516 465.922147 464.471478 462.332356 463.042615 461.327293 459.419402 457.812378 457.610703 456.044036 447.446693 446.474030 451.019183 445.035589 441.405814 441.380383 438.806558 430.457867 429.317226 432.132382 428.805752 418.954270 419.681878 414.327012 409.180234 396.731606 379.210649 376.781500 375.465782 372.183405 362.319386 360.913844 345.565760 319.949866 286.730146 263.866509 255.185171 258.744967 234.437997 154.283197 0.000000 88.284526 172.333754 196.648199 276.746552 295.560521 318.027413 473.922103 470.417659 471.658381 473.275543 466.398033 463.771855 469.896362 469.981921 467.313633 468.863972 472.940136 467.661620 465.523535 465.203647 458.621685 446.627326 443.997737 440.445510 440.316701 433.508662 423.523006 406.114866 384.677941 382.634390 365.463327 343.468446 348.398067 379.279843 372.897452 366.633668 355.285369 331.559662 296.803072 265.255049 297.838211 341.181804 346.982272 375.417551 384.681738 388.200562 375.209948 372.617489 401.834321 398.886068 394.601253 412.486444 431.571897 421.252711 422.987839 437.180474 444.206522 440.899865 447.123817 455.242445 464.456583 471.662824 474.994052 476.070799 472.677680 474.336515 476.795084 477.302073 477.537337 476.409877 483.308947 484.331343 486.276581 485.097966 488.442424 489.259902 488.678229 485.839751 484.821527 486.138782 484.233003 486.201566 486.889787 486.143215 483.975986 482.519193 480.371206 481.093998 479.379458 477.463884 475.864597 475.675612 474.103327 465.473151 464.532474 469.120731 463.139813 459.514945 459.515100 456.951249 448.592849 447.495773 450.335266 447.012145 437.179199 438.014559 432.727181 427.633049 415.384066 398.167018 395.837593 394.552088 391.315324 381.529188 380.554847 365.817326 341.108294 309.675724 287.786918 279.543087 283.023736 260.589549 180.653697 106.512815 0.000000 172.520462 210.637943 291.470686 310.825530 333.753524 381.233855 377.765685 379.045958 380.623535 373.735841 371.383171 377.367205 377.426960 374.848525 376.396648 380.398516 375.149033 373.085683 372.815921 366.390762 354.716097 352.133242 348.687095 348.575293 341.826590 331.926350 315.169030 294.987350 291.469629 274.996794 252.853562 256.312460 287.550260 281.548017 275.738230 264.773436 241.978547 208.932006 168.592252 189.073005 242.455681 250.573118 281.309139 290.784525 294.570421 281.602111 277.751339 308.163625 305.413284 300.661184 318.832849 338.239413 327.838956 329.430526 343.826995 350.959505 347.573184 353.849652 362.054270 371.363165 378.656914 382.053856 383.215285 379.805747 381.541260 383.981732 384.502626 384.774244 383.668743 390.554541 391.609392 393.543646 392.400686 395.701775 396.512585 395.925896 393.076646 392.049327 393.367071 391.426884 393.401029 394.058018 393.282282 391.094337 389.625803 387.462708 388.207340 386.491154 384.561166 382.975745 382.809126 381.221720 372.525803 371.643530 376.305211 370.317228 366.696314 366.745447 364.190974 355.784820 354.790777 357.680958 354.352152 344.521898 345.623028 340.474591 335.487782 323.701229 307.175361 305.091621 303.871238 300.734701 291.087227 291.326258 278.166077 255.730419 229.085125 209.958080 203.433736 206.135499 186.477716 123.109675 100.029933 81.988353 0.000000 122.741641 193.714881 215.128196 238.417666 337.481273 334.050214 335.442676 336.965240 330.094028 328.186603 333.959658 334.009949 331.590392 333.136361 337.030427 331.888354 329.944870 329.727490 323.533259 312.293126 309.770084 306.459106 306.398526 299.821481 290.031745 273.959590 255.202499 250.905208 235.201576 213.642559 213.391581 245.635820 239.315021 233.226003 222.149857 199.291818 165.950643 122.528647 168.736028 206.467527 215.299325 240.795644 248.784500 252.335463 240.053926 232.390511 264.329372 261.379146 254.984715 273.654923 293.430444 282.537036 282.930313 298.425035 305.886644 302.158059 308.589454 317.063691 326.632078 334.165382 337.734409 339.079658 335.622811 337.502702 339.935416 340.503244 340.883201 339.865914 346.760634 347.898979 349.833292 348.765881 352.009127 352.811598 352.218634 349.355911 348.302414 349.588123 347.561813 349.526879 350.105269 349.256150 347.016033 345.518404 343.304230 344.118692 342.421172 340.453292 338.908903 338.812050 337.218593 328.380244 327.663360 332.573299 326.655227 323.083245 323.254514 320.793144 312.477055 311.598920 314.586669 311.332678 301.744259 303.082781 298.212060 293.447250 282.238560 266.669382 264.825899 263.719654 260.747691 251.526594 252.113867 240.112346 219.712751 195.758726 178.163133 173.197136 175.453730 156.523376 109.974134 82.455475 78.216932 80.852738 0.000000 126.994051 146.170915 174.056675 345.270183 342.167354 343.855666 345.067045 338.147889 338.306141 343.070886 342.985984 341.267213 342.800079 346.160490 341.373350 339.987113 340.077702 334.998828 325.924893 323.750882 321.112724 321.124837 315.218780 306.434750 293.992721 279.699743 272.621885 261.078518 244.647571 241.530612 266.807737 264.638705 262.273015 254.708794 240.012497 219.680338 188.861185 212.821814 226.365897 240.166760 254.376406 257.570373 261.490308 252.779394 222.761219 267.819116 266.180986 252.228847 273.659610 296.017840 284.013482 280.216620 299.399775 308.169152 303.246853 310.256985 319.759114 330.359892 338.851331 343.127099 345.325874 341.703637 344.358215 346.592378 347.284411 348.025831 347.261474 354.097314 355.545598 357.430709 356.674444 359.612972 360.369795 359.742489 356.806015 355.656938 356.872662 354.511125 356.482054 356.752411 355.615661 353.171207 351.557948 349.165346 350.232033 348.565326 346.447718 345.063522 345.213330 343.537072 334.082652 334.000025 339.786699 334.004116 330.563022 331.215269 329.010628 320.720895 320.537470 323.930443 320.838607 311.886813 314.671422 310.919179 307.044670 298.710849 287.150700 286.181845 285.458272 283.022318 275.126985 277.945392 270.107935 256.150223 242.564893 231.741512 228.954060 229.771591 217.358213 191.486928 177.889622 174.385467 167.161771 142.329844 0.000000 78.159312 117.203629 526.734259 523.818714 525.978517 526.976512 520.279041 522.026721 526.052201 526.010836 524.909310 526.429220 529.415359 525.189841 524.218079 524.428307 520.120631 512.427219 510.477764 508.252408 508.390567 503.180643 495.210025 484.465509 472.236836 465.547908 455.390523 440.609989 437.169354 459.271944 457.724582 455.610409 448.857433 436.458828 419.010879 392.541785 413.380632 425.185087 436.982709 448.927329 451.317164 454.155577 446.515303 423.009666 456.653626 452.638794 433.392238 453.102837 474.352263 459.064182 443.230358 471.719320 482.641442 475.098896 483.031930 494.276953 506.398128 516.310701 521.598981 524.842474 520.981278 524.438342 526.591351 527.513064 528.833493 528.574739 535.495590 537.350248 539.284230 538.870427 541.627562 542.360318 541.714906 538.739550 537.453280 538.440696 535.647716 537.522695 537.379733 535.857069 533.138329 531.371248 528.671600 530.158412 528.642412 526.316814 525.191199 525.735345 524.082957 513.961523 514.853453 521.914135 516.657361 513.562376 514.768153 513.113499 505.802609 505.832503 509.333145 506.663251 498.935263 501.883617 498.905930 495.621223 488.633681 478.947762 478.243657 477.703238 475.514101 468.365506 470.957291 464.112327 451.843236 440.027202 430.450840 428.001653 428.647246 417.412165 394.159736 381.546447 378.583167 373.417942 346.349564 263.002168 0.000000 99.088680 668.657783 665.946067 668.601517 669.373517 662.952034 666.327989 669.572537 669.570314 669.113512 670.615998 673.202875 669.552365 669.014758 669.357979 665.863172 659.635537 657.925699 656.141054 656.402840 651.903159 644.794224 635.917536 625.930709 619.397699 610.829811 597.940976 594.087276 612.845217 612.092589 610.431614 604.675668 594.974491 581.103807 559.109211 575.473533 583.665924 594.349012 603.393703 604.648295 606.734971 600.484828 579.236736 605.830792 600.621692 581.477154 594.222501 613.543085 594.806696 564.535097 603.805574 617.123699 606.600662 615.525764 628.693949 642.457204 653.910675 660.297234 664.676202 660.567469 664.882120 666.944687 668.110540 670.051554 670.335414 677.334071 679.612895 681.594760 681.540288 684.103503 684.810397 684.145528 681.128388 679.698611 680.449311 677.204095 678.976991 678.393805 676.460095 673.449247 671.517935 668.487231 670.428492 669.075744 666.528322 665.686437 666.651306 665.019782 654.211010 656.162993 664.496902 659.774038 657.045707 658.809589 657.703523 651.363922 651.657104 655.244126 652.986225 646.450748 649.649012 647.471823 644.797793 639.274017 631.626931 631.231133 630.886969 628.963388 622.593632 625.168812 619.556590 609.315436 599.926524 592.016030 590.051505 590.421061 580.765852 561.631312 551.242700 548.740522 543.936774 521.464685 449.275847 246.318042 0.000000