1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0 7 0 0 0 8 0 0 0 9 0 0 0 10 0 0 0.25904 11 0.036172 0 0.10234 12 0.049536 0 1.5482 13 0.75502 0 1.6106 14 1.6951 0 1.6821 15 2.5327 0 1.7247 16 3.2959 0 2.2193 17 4.0808 0 0.44415 18 4.1567 0 0.88389 19 4.3282 0 1.6798 20 5.0758 0 1.6563 21 5.9983 0 1.8621 22 6.735 0 1.6402 23 7.3797 0 1.5853 24 7.9176 0 0.73939 25 8.0077 0 1.1115 26 8.3611 0 1.8206 27 9.1142 0 1.9078 28 9.6312 0 2.1531 29 9.8211 0 2.4784 30 10.418 0 2.0537 31 11.075 0 2.2575 32 11.662 0 1.9221 33 12.056 0 1.8648 34 12.669 0 1.6825 35 13.193 0 1.0738 36 13.346 0 1.0972 37 13.361 0 0.78404 38 13.409 0 0.25202 39 13.443 0 0.096658 40 13.127 0 1.2857 41 12.537 0 1.9652 42 12.3 0 2.0257 43 12.041 0 2.3865 44 12.381 0 1.9878 45 13.022 0 1.9155 46 13.507 0 2.0711 47 13.973 0 1.807 48 14.377 0 1.5348 49 14.417 0 2.0962 50 14.408 0 1.5905 51 14.656 0 2.1973 52 15.535 0 1.7861 53 16.032 0 1.877 54 16.436 0 1.5231 55 16.737 0 1.1381 56 16.66 0 1.869 57 16.75 0 2.236 58 17.543 0 2.5185 59 18.325 0 1.8085 60 18.927 0 1.8879 61 19.305 0 1.6222 62 19.413 0 1.5481 63 18.958 0 1.5767 64 18.484 0 1.8387 65 18.193 0 1.6474 66 18.276 0 0.80448 67 17.717 0 2.1718 68 17.249 0 1.5598 69 16.662 0 1.9617 70 16.341 0 2.3836 71 16.262 0 1.8363 72 16.183 0 1.4946 73 16.161 0 1.0698 74 16.145 0 0.80386 75 16.076 0 0.69853 76 15.955 0 1.2815 77 15.744 0 2.4834 78 16.401 0 1.8807 79 17.093 0 1.7768 80 17.624 0 3.0528 81 18.401 0 3.5692 82 19.364 0 2.9182 83 20.183 0 2.0963 84 20.646 0 2.7651 85 20.962 0 2.6608 86 21.341 0 2.2174 87 21.537 0 2.7537 88 21.811 0 3.1273 89 21.891 0 3.376 90 22.207 0 2.5475 91 21.943 0 3.5565 92 21.825 0 3.4479 93 22.141 0 2.1276 94 21.995 0 2.163 95 21.688 0 2.4298 96 21.224 0 2.1344 97 20.776 0 2.4179 98 20.95 0 1.1995 99 21.031 0 1.4723 100 21.855 0 1.6647 101 22.384 0 1.3641 102 22.161 0 1.9215 103 21.976 0 2.1904 104 22.3 0 1.0619 105 22.459 0 1.3624 106 22.869 0 1.9096 107 23.439 0 1.9685 108 23.887 0 2.1613 109 23.606 0 2.6179 110 23.258 0 1.8028 111 22.404 0 1.2967 112 21.871 0 1.2264 113 21.644 0 1.4359 114 21.366 0 2.1433 115 21.295 0 1.6919 116 20.666 0 2.5195 117 20.236 0 2.3454 118 19.659 0 1.6793 119 18.655 0 2.1777 120 17.681 0 1.8924 121 17.312 0 1.8379 122 16.964 0 2.2923 123 16.515 0 3.5054 124 16.435 0 3.6015 125 16 0 2.5193 126 15.75 0 2.513 127 15.515 0 2.4076 128 14.909 0 3.1388 129 14.392 0 3.1752 130 13.872 0 4.2448 131 13.637 0 3.9959 132 13.838 0 4.587 133 14.606 0 2.8461 134 15.225 0 3.0034 135 15.352 0 3.1091 136 15.28 0 2.7764 137 14.744 0 3.601 138 14.124 0 3.2414 139 13.284 0 3.3717 140 12.697 0 2.483 141 12.349 0 2.6433 142 12.623 0 3.0813 143 13.375 0 2.615 144 14.434 0 1.9003 145 15.238 0 2.2293 146 16.115 0 2.4189 147 16.984 0 2.4384 148 17.726 0 2.3309 149 18.385 0 2.2286 150 18.817 0 2.0436 151 19.126 0 1.9534 152 19.793 0 2.081 153 20.182 0 2.315 154 20.045 0 2.0824 155 20.22 0 2.449 156 20.485 0 2.313 157 20.336 0 2.6406 158 20.43 0 2.6593 159 20.458 0 2.9792 160 20.903 0 2.6115 161 21.299 0 2.2753 162 22.015 0 1.5993 163 22.372 0 2.2724 164 22.673 0 2.2347 165 23.011 0 2.3201 166 23.538 0 1.9604 167 24.353 0 2.6943 168 25.22 0 2.8152 169 25.519 0 3.0663 170 25.742 0 2.2073 171 25.634 0 2.6986 172 25.299 0 2.7971 173 25.129 0 3.1687 174 25.169 0 4.3055 175 26.213 0 2.2433 176 26.758 0 1.2808 177 26.972 0 1.8059 178 27.281 0 2.2188 179 27.557 0 2.608 180 27.904 0 2.5843 181 28.183 0 2.3767 182 28.522 0 1.7978 183 28.467 0 2.5094 184 28.139 0 3.1083 185 27.892 0 2.817 186 27.631 0 2.5004 187 27.572 0 2.4273 188 27.52 0 2.9928 189 27.502 0 3.0296 190 27.355 0 3.3597 191 27.229 0 3.2819 192 27.254 0 3.1183 193 27.291 0 3.4023 194 27.308 0 2.7078 195 27.312 0 2.9475 196 26.95 0 2.7102 197 26.256 0 3.365 198 25.733 0 2.8028 199 24.814 0 3.6266 200 24.28 0 3.3672 201 24.116 0 2.6655 202 23.649 0 2.4508 203 23.64 0 1.4514 204 22.895 0 2.9685 205 22.304 0 2.7331 206 22.173 0 3.3971 207 22.332 0 2.7234 208 22.702 0 2.0562 209 22.976 0 2.0481 210 22.988 0 2.4779 211 22.697 0 1.6425 212 22.427 0 2.3886 213 22.688 0 2.6428 214 22.623 0 3.0463 215 22.34 0 2.4011 216 21.611 0 2.1581 217 20.309 0 3.0377 218 18.923 0 5.6587 219 18.69 0 5.4691 220 19.159 0 4.2238 221 19.551 0 3.8989 222 19.889 0 3.9472 223 19.956 0 2.2044 224 19.028 0 3.2262 225 18.038 0 3.9076 226 17.157 0 3.8822 227 16.573 0 4.6895 228 17.452 0 3.8757 229 18.082 0 3.9723 230 18.57 0 2.642 231 18.644 0 2.8041 232 19.291 0 0.36183 233 19.296 0 0.61946 234 19.101 0 2.4366 235 19.176 0 1.9509 236 19.253 0 1.4029 237 19.251 0 2.4016 238 19.411 0 2.2169 239 19.521 0 1.352 240 19.319 0 2.6081 241 19.162 0 2.7991 242 19.007 0 2.1234 243 18.904 0 1.0765 244 18.785 0 0.59087 245 18.733 0 0.37482 246 18.47 0 1.3386 247 18.168 0 1.4433 248 17.812 0 1.8408 249 17.702 0 0.88431 250 17.382 0 1.7142 251 17.055 0 1.5517 252 16.679 0 2.2229 253 16.42 0 2.2342 254 16.189 0 1.724 255 16.235 0 2.3102 256 16.101 0 3.8271 257 16.461 0 2.9172 258 16.766 0 2.4051 259 16.091 0 2.8949 260 15.637 0 2.7269 261 15 0 2.7399 262 14.921 0 1.762 263 14.861 0 1.0343 264 13.879 0 1.9755 265 13.632 0 1.8823 266 13.317 0 1.8512 267 12.869 0 1.9825 268 12.453 0 2.5845 269 12.98 0 1.9447 270 12.85 0 1.8843 271 13.239 0 1.8445 272 13.532 0 2.043 273 13.767 0 2.6694 274 13.876 0 2.7804 275 14.052 0 2.8771 276 14.693 0 3.208 277 15.382 0 3.2204 278 16.005 0 2.5972 279 16.276 0 3.2201 280 16.894 0 2.6711 281 17.108 0 2.5481 282 17.291 0 2.6976 283 17.576 0 2.5428 284 17.987 0 1.7798 285 18.367 0 0.70872 286 17.867 0 2.1403 287 17.342 0 1.8061 288 16.472 0 2.1661 289 15.628 0 2.148 290 14.902 0 2.2792 291 14.064 0 2.2368 292 13.183 0 2.0605 293 12.343 0 1.9902 294 11.402 0 1.8543 295 10.351 0 1.8708 296 9.34 0 1.499 297 8.3806 0 2.1086 298 7.9544 0 2.6024 299 8.8822 0 2.6266 300 9.7677 0 1.4021 301 9.4001 0 2.3132 302 10.14 0 1.3437 303 10.32 0 2.4241 304 10.592 0 1.469 305 10.453 0 2.1728 306 9.6859 0 2.2808 307 10.361 0 1.192 308 10.993 0 1.3747 309 11.631 0 1.7542 310 12.384 0 1.6934 311 12.999 0 1.8453 312 13.585 0 1.9799 313 14.275 0 0.95759 314 14.114 0 1.0232 315 13.909 0 2.4686 316 14.315 0 2.0041 317 14.417 0 2.9322 318 14.916 0 2.6871 319 14.985 0 2.7781 320 15.25 0 0.38502 321 14.974 0 1.1372 322 15.604 0 1.4057 323 15.777 0 1.349 324 16.036 0 1.5437 325 16.762 0 1.2093 326 17.518 0 1.3788 327 18.352 0 1.4114 328 18.461 0 1.6614 329 18.43 0 1.8366 330 17.84 0 1.982 331 17.624 0 1.7555 332 17.341 0 1.3836 333 17.018 0 1.048 334 16.792 0 0.92759 335 17.412 0 1.1542 336 17.257 0 1.2136 337 18.023 0 1.306 338 18.438 0 1.5197 339 18.769 0 1.8677 340 19.46 0 1.5055 341 18.904 0 2.0446 342 18.415 0 2.219 343 18.473 0 2.2378 344 18.667 0 1.7826 345 18.98 0 1.0975 346 19.296 0 0.93572 347 19.107 0 1.7874 348 18.918 0 1.4989 349 19.131 0 1.9681 350 19.238 0 2.1861 351 19.172 0 1.8774 352 18.865 0 1.495 353 19.143 0 1.6787 354 20.236 0 1.678 355 20.972 0 2.1314 356 21.389 0 1.8961 357 21.37 0 2.1146 358 21.483 0 1.978 359 22.076 0 1.8146 360 22.48 0 2.3339 361 22.907 0 2.3752 362 23.658 0 2.1969 363 24.242 0 2.2839 364 24.804 0 2.125 365 24.467 0 2.0077 366 24.042 0 1 367 23.429 0 1.899 368 23.13 0 1.6485 369 23.601 0 0.98883 370 24.038 0 0.43463 371 24.142 0 0.59991 372 24.932 0 0.10624 373 24.099 0 0.54087 374 24.018 0 0.44589 375 23.908 0 0.43789 376 23.47 0 0.96491 377 23.856 0 2.1005 378 23.984 0 2.4973 379 24.338 0 2.2789 380 24.01 0 1.7095 381 24.181 0 1.7585 382 24.251 0 1.6153 383 24.847 0 1.2493 384 25.438 0 1.8684 385 26.221 0 1.1854 386 26.405 0 1.1598 387 26.583 0 0.34414 388 26.583 0 0 389 26.566 0 0.12153 390 25.957 0 1.0675 391 25.04 0 1.1742 392 24.064 0 1.0633 393 23.052 0 0.9461 394 22.059 0 2.5131 395 22.467 0 2.3855 396 22.723 0 3.7745 397 24.128 0 1.494 398 24.32 0 1.2902 399 23.795 0 2.5126 400 23.128 0 3.1306 401 22.641 0 3.0158 402 22.583 0 2.5713 403 23.399 0 1.639 404 23.329 0 0.76958 405 22.996 0 1.6885 406 22.895 0 2.3915 407 23.138 0 1.252 408 23.196 0 1.9469 409 23.648 0 2.8611 410 24.347 0 2.3088 411 24.528 0 2.4707 412 24.042 0 2.3198 413 23.379 0 2.2634 414 22.793 0 1.9024 415 22.509 0 1.9856 416 22.42 0 1.7382 417 22.549 0 1.7227 418 23.066 0 1.6318 419 23.166 0 1.2544 420 23.343 0 2.2677 421 24.231 0 1.3251 422 25.43 0 1.196 423 26.389 0 1.6088 424 26.893 0 1.5938 425 27.532 0 0.49619 426 27.144 0 1.3905 427 27.242 0 1.399 428 27.268 0 1.2944 429 27.226 0 1.127 430 27.107 0 1.1397 431 26.496 0 1.0731 432 26.962 0 1.1392 433 26.76 0 1.6737 434 26.311 0 1.6348 435 26.334 0 0.54679 436 26.256 0 0.43957 437 26.209 0 0.65391 438 26.285 0 0.54926 439 26.028 0 1.2474 440 25.619 0 1.3871 441 25.204 0 1.407 442 25.002 0 1.0047 443 24.233 0 1.6735 444 23.548 0 1.325 445 22.627 0 1.7937 446 21.633 0 1.8086 447 21.373 0 0.99833 448 20.933 0 1.5799 449 20.387 0 1.8335 450 19.927 0 2.0124 451 19.664 0 1.6029 452 18.819 0 2.0932 453 17.945 0 2.0253 454 17.305 0 1.7291 455 16.366 0 1.5199 456 15.069 0 1.6524 457 13.864 0 1.0056 458 12.455 0 0.80547 459 11.413 0 0.40481 460 9.9415 0 1.1251 461 9.2069 0 1.2255 462 8.3817 0 1.1866 463 7.5303 0 1.4302 464 7.0328 0 1.9955 465 6.2519 0 1.7923 466 5.4224 0 1.3931 467 4.7997 0 0.97201 468 4.1179 0 0.40203 469 3.1689 0 0.15905 470 3.1939 0 0.16964 471 3.0099 0 1.0398 472 2.7746 0 0.82211 473 2.4297 0 0.92945 474 1.9148 0 1.3611 475 1.4436 0 1.4274 476 1.4333 0 0.08239 477 1.4333 0 0.92925 478 2.0886 0 0.94556 479 2.7251 0 0.99413 480 3.2702 0 0.20925 481 3.2977 0 0.17885 482 3.3204 0 0 483 3.3204 0 0.72494 484 3.5007 0 0.80815 485 3.6476 0 0.74351 486 3.1754 0 1.6979 487 2.5558 0 2.1594 488 2.1952 0 1.7147 489 2.4044 0 1.1829 490 2.5802 0 0.84129 491 2.8501 0 0.84204 492 3.1205 0 0.78816 493 3.3411 0 0.80222 494 3.497 0 0.34213 495 3.5184 0 0 496 3.5184 0 0 497 3.5184 0 0 498 3.5184 0 0 499 3.2148 0 1.2556 500 2.8134 0 1.5902 501 2.5158 0 1.4169 502 2.0162 0 2.2349 503 1.6013 0 1.7021 504 1.0001 0 2.0995 505 0.39709 0 2.0666 506 0.21514 0 0.86274 507 0.051588 0 0.78991 508 0.040352 0 0.08888 509 0.026569 0 0.10494 510 1.214e-14 0 0.17688