1 0 0 0 2 0 0 0.12229 3 0.016667 0 0 4 0.016667 0 0 5 0.016667 0 0 6 0.016667 0 0.4539 7 0.11196 0 0.94539 8 0.29658 0 0.69575 9 0.41757 0 1.5111 10 0.68287 0 0.10566 11 0.69677 0 1.2525 12 1.249 0 0.9982 13 1.7239 0 1.1286 14 2.1452 0 1.0189 15 2.4609 0 0.81507 16 2.7133 0 1.3047 17 3.0458 0 1.1376 18 3.2734 0 0.99251 19 3.3941 0 1.2257 20 3.4324 0 1.7745 21 3.694 0 1.6999 22 3.9583 0 1.5956 23 4.2936 0 1.3146 24 4.6219 0 0.42966 25 4.7098 0 1.3259 26 5.1479 0 1.3297 27 5.5799 0 1.9821 28 6.41 0 2.0171 29 7.2668 0 1.1947 30 7.6667 0 0.96087 31 7.8746 0 1.2201 32 8.1306 0 1.179 33 8.3818 0 0.46939 34 8.4657 0 0.20176 35 8.492 0 0.19908 36 8.5179 0 0.99657 37 8.5814 0 1.1779 38 8.7934 0 1.2302 39 9.0121 0 1.337 40 9.3205 0 1.3517 41 9.9752 0 1.3113 42 10.524 0 0.37685 43 10.597 0 0.35513 44 10.664 0 0.32683 45 10.242 0 1.5314 46 9.7831 0 1.1786 47 9.2318 0 1.1611 48 8.6622 0 1.2091 49 8.0927 0 1.2167 50 7.6617 0 1.1765 51 7.695 0 0.30587 52 7.7401 0 0.14555 53 7.7609 0 0 54 7.7057 0 1.1124 55 7.5911 0 2.2867 56 7.8507 0 1.9984 57 8.2185 0 2.4645 58 8.9568 0 1.5792 59 9.1794 0 1.9009 60 9.4592 0 3.1589 61 10.172 0 1.8164 62 10.873 0 1.6661 63 11.096 0 2.23 64 11.319 0 2.3525 65 11.488 0 2.9796 66 11.993 0 2.2124 67 11.927 0 3.2219 68 12.079 0 3.6852 69 12.307 0 3.7008 70 12.553 0 2.9347 71 12.537 0 2.6276 72 12.478 0 1.5417 73 12.479 0 0.093298 74 12.309 0 0.77843 75 12.04 0 1.2081 76 11.882 0 1.4939 77 11.791 0 1.7241 78 11.58 0 1.9097 79 11.337 0 1.9391 80 11.06 0 1.4529 81 10.592 0 1.4109 82 10.576 0 0.11776 83 10.375 0 0.72405 84 10.331 0 0.47328 85 9.5686 0 1.6034 86 8.6372 0 1.6554 87 7.6706 0 1.9744 88 6.7747 0 1.7407 89 6.1692 0 1.1968 90 5.5718 0 0.97247 91 5.0927 0 1.0817 92 5.0667 0 0.34905 93 4.8919 0 1.2333 94 4.7738 0 1.4446 95 4.6373 0 1.7838 96 4.5545 0 1.4194 97 4.3883 0 0.87216 98 4.1735 0 0.75045 99 4.1367 0 0.22736 100 3.648 0 1.4695 101 3.1627 0 1.3561 102 2.6474 0 1.6102 103 2.0441 0 2.0965 104 1.8599 0 1.1804 105 1.7153 0 0.65372 106 1.6709 0 0.2619 107 1.6247 0 0.27014 108 1.6247 0 0 109 1.6142 0 0.084131 110 1.602 0 0.22958 111 1.608 0 0.29725 112 1.6215 0 0.3215 113 1.5402 0 1.1234 114 1.5081 0 0.77355 115 1.419 0 0.75383 116 2.4093 0 0.48005 117 3.2821 0 0.4586 118 4.1664 0 0.70067 119 4.9446 0 1.4845 120 5.0315 0 1.6791 121 5.7211 0 1.5589 122 6.2532 0 1.7972 123 6.6764 0 1.5137 124 6.9493 0 1.8093 125 6.3445 0 1.6991 126 5.7486 0 1.5464 127 5.1153 0 1.2619 128 4.4342 0 0.56135 129 4.5906 0 0.41677 130 4.632 0 0.23723 131 4.6502 0 0.10581 132 4.6184 0 0.26808 133 4.5457 0 0.50873 134 4.4498 0 0.63856 135 4.2157 0 1.186 136 4.2574 0 0.52649 137 4.2994 0 0.53735 138 4.3402 0 0.27111 139 4.3511 0 0.19463 140 4.366 0 0 141 4.3208 0 0.26545 142 4.27 0 0.28981 143 4.2175 0 0.62226 144 4.2431 0 0.6748 145 4.321 0 0.45573 146 4.3972 0 0.40134 147 4.4633 0 0.38353 148 4.5036 0 0.4185 149 4.5125 0 0.50481 150 4.4889 0 0.44247 151 4.4323 0 0.39306 152 4.3795 0 0.61324 153 4.3225 0 1.0724 154 4.2645 0 2.0475 155 4.4251 0 1.1438 156 4.501 0 0.23812 157 4.4809 0 0.14204 158 4.4269 0 0.30319 159 4.3667 0 0.32813 160 4.2858 0 0.46609 161 4.2419 0 0.5059 162 4.1504 0 1.1635 163 4.0469 0 2.5116 164 4.3292 0 2.0244 165 4.6669 0 0.60537 166 4.7346 0 1.0258 167 4.939 0 0.9539 168 5.1551 0 1.6501 169 5.6172 0 0.8938 170 5.812 0 0.34179 171 5.8757 0 0.56699 172 6.829 0 0.54298 173 7.9594 0 0.92413 174 9.0602 0 0.88435 175 9.9602 0 1.1074 176 10.672 0 0.95263 177 10.523 0 1.3427 178 10.509 0 1.3082 179 10.658 0 0.52914 180 10.738 0 1.1142 181 11.29 0 1.2622 182 12.094 0 2.1634 183 12.605 0 3.1623 184 13.195 0 2.3617 185 13.305 0 3.2259 186 13.837 0 2.2352 187 13.84 0 3.2959 188 14.618 0 1.89 189 14.795 0 1.7551 190 14.97 0 1.4814 191 15.22 0 0.20365 192 15.252 0 0 193 14.73 0 1.4866 194 14.831 0 0.73881 195 14.282 0 1.2019 196 13.642 0 1.1715 197 12.993 0 1.0486 198 12.307 0 0.81893 199 11.554 0 0.80636 200 10.903 0 1.116 201 10.944 0 0.40389 202 10.186 0 0.6754 203 10.253 0 1.6257 204 10.568 0 1.6362 205 10.662 0 2.1105 206 10.793 0 2.2883 207 11.691 0 0.43738 208 11.741 0 0 209 11.489 0 1.2448 210 11.58 0 0.087787 211 11.515 0 1.1068 212 11.6 0 1.393 213 11.46 0 1.836 214 11.298 0 1.1431 215 11.339 0 0 216 11.339 0 0 217 11.318 0 0.14619 218 11.222 0 0.53221 219 11.114 0 0.59398 220 11.012 0 0.62864 221 10.856 0 1.5093 222 11.421 0 1.1674 223 12.15 0 1.1818 224 12.893 0 0.61998 225 12.87 0 0.62926 226 12.828 0 0.72521 227 12.78 0 0.73554 228 12.702 0 0.83937 229 12.697 0 0.2379 230 12.685 0 0.1747 231 12.575 0 0.8906 232 11.647 0 1.4493 233 10.682 0 1.7219 234 10.083 0 1.1566 235 10.177 0 0 236 10.126 0 0.34002 237 10.108 0 0.13151 238 10.079 0 0.21495 239 10.061 0 0.13291 240 9.894 0 1.6683 241 10.293 0 1.0979 242 10.989 0 1.0851 243 11.504 0 1.5303 244 11.928 0 1.6492 245 12.206 0 2.0725 246 12.54 0 1.7958 247 11.937 0 1.9624 248 11.326 0 1.6314 249 11.078 0 0.83544 250 10.395 0 1.9569 251 9.223 0 1.5277 252 8.1451 0 1.2896 253 7.0385 0 1.3392 254 6.2607 0 0.77096 255 5.4696 0 0.7556 256 4.9034 0 1.0638 257 4.9172 0 0 258 4.9172 0 0.34414 259 4.4519 0 1.3031 260 3.8325 0 1.2357 261 3.0599 0 1.71 262 2.3439 0 1.5404 263 1.6827 0 0.99732 264 1.8173 0 0.89513 265 1.8032 0 1.5907 266 2.069 0 1.5335 267 2.3638 0 1.9245 268 2.7365 0 1.6931 269 3.0944 0 1.3656 270 3.3999 0 0.18489 271 3.4281 0 0.15233 272 3.45 0 0.69601 273 3.6173 0 0.88777 274 3.8118 0 1.1055 275 3.9629 0 2.7528 276 4.5487 0 2.7771 277 5.1013 0 2.5018 278 5.5129 0 0.88432 279 5.6361 0 0.46232 280 5.734 0 0 281 5.734 0 0.62125 282 5.8886 0 0.67643 283 5.9301 0 1.6988 284 6.0954 0 1.7667 285 6.2814 0 1.6249 286 6.5622 0 1.1065 287 6.8259 0 0.97181 288 7.0379 0 0 289 7.0379 0 0 290 7.0379 0 0.15006 291 7.0595 0 0.12458 292 7.0765 0 1.4068 293 7.6354 0 1.4615 294 8.1319 0 1.9358 295 8.5139 0 1.8864 296 8.5028 0 3.2582 297 8.7731 0 2.6939 298 8.5934 0 3.7239 299 8.8604 0 3.8096 300 9.2125 0 3.9891 301 9.8728 0 3.0609 302 10.246 0 3.0426 303 10.571 0 1.4952 304 10.73 0 0.11626 305 10.712 0 0.4956 306 10.705 0 0.4935 307 10.731 0 1.4497 308 10.96 0 2.3191 309 11.198 0 2.3353 310 11.458 0 1.8447 311 11.644 0 0.70755 312 11.598 0 0.31416 313 11.375 0 0.7659 314 11.127 0 0.80778 315 10.837 0 1.174 316 10.03 0 2.2888 317 9.1325 0 2.4585 318 8.4274 0 2.5486 319 7.8248 0 2.2582 320 7.6591 0 1.0196 321 7.6713 0 0 322 7.6451 0 0.17502 323 7.5315 0 1.1058 324 7.3663 0 1.9018 325 7.274 0 1.8863 326 7.1079 0 2.4401 327 6.9711 0 1.8677 328 6.7703 0 1.4012 329 6.609 0 0.87271 330 6.5817 0 0.18045 331 6.0419 0 1.6244 332 5.475 0 1.6562 333 4.6709 0 1.9526 334 3.5158 0 3.0344 335 2.6203 0 2.905 336 2.4477 0 1.9408 337 2.2406 0 2.0968 338 2.0346 0 2.0542 339 2.0177 0 0.88221 340 1.9024 0 0.68519 341 1.6952 0 1.1889 342 1.4635 0 1.313 343 1.279 0 1.1147 344 1.0502 0 1.2873 345 1.5825 0 1.156 346 2.3489 0 0.63491 347 3.1727 0 0.5737 348 3.9669 0 0.539 349 4.8626 0 0.56575 350 5.7296 0 0.39947 351 5.7822 0 0.4345 352 5.8122 0 0.34048 353 5.8354 0 1.005 354 6.1218 0 1.5378 355 6.5494 0 1.5479 356 6.072 0 1.4088 357 5.5655 0 1.0768 358 4.8002 0 1.0743 359 4.1624 0 0.54383 360 3.4903 0 0.83874 361 2.9821 0 1.0603 362 3.2102 0 0.79548 363 3.3808 0 0 364 3.3808 0 0 365 3.3694 0 0.69938 366 3.4733 0 0.70609 367 3.5496 0 0.81205 368 3.588 0 0.77711 369 3.5851 0 0.80699 370 3.6457 0 0 371 3.5634 0 0.48172 372 3.4842 0 0.64013 373 3.3887 0 0.82498 374 3.3281 0 1.5912 375 3.5718 0 2.3554 376 4.0872 0 2.3565 377 4.6969 0 1.6639 378 5.1448 0 1.6257 379 5.5373 0 0.10494 380 5.551 0 0.16265 381 5.5749 0 0 382 5.5749 0 0.13229 383 5.5933 0 0 384 5.5933 0 0 385 5.5933 0 0 386 5.5786 0 0.11078 387 5.5786 0 1.4008 388 6.4099 0 1.0884 389 7.2259 0 1.2678 390 8.0512 0 0.75464 391 8.2105 0 0.7277 392 8.3624 0 0.51458 393 8.4773 0 0.49559 394 8.5859 0 0.42686 395 8.673 0 0 396 8.6608 0 0.095393 397 8.5731 0 0.99929 398 7.8807 0 1.5601 399 7.2029 0 1.7671 400 6.7844 0 1.4025 401 6.8108 0 1.044 402 6.994 0 0.91819 403 7.1412 0 0.31042 404 7.0844 0 0.60847 405 7.0608 0 1.2018 406 7.1428 0 2.76 407 7.7372 0 3.2509 408 8.6179 0 2.8895 409 9.0286 0 4.0826 410 9.4999 0 2.833 411 9.5493 0 2.8428 412 9.2968 0 1.9457 413 9.1736 0 2.1257 414 9.0309 0 1.9698 415 8.8922 0 1.9477 416 8.9777 0 1.6864 417 9.0581 0 2.2699 418 9.4659 0 1.6805 419 9.7647 0 2.4204 420 10.114 0 1.5393 421 10.18 0 1.1049 422 10.191 0 0.87015 423 10.271 0 0.23425 424 10.309 0 0 425 10.291 0 0.99999 426 10.446 0 1.3314 427 10.492 0 2.3986 428 10.385 0 3.0804 429 10.308 0 2.9309 430 10.087 0 1.7685 431 10.113 0 0.11477 432 10.128 0 0 433 10.1 0 0.89223 434 10.266 0 1.0634 435 10.038 0 1.9728 436 9.847 0 2.1027 437 9.6031 0 2.3082 438 9.2594 0 3.0024 439 9.0582 0 2.9532 440 9.3629 0 2.797 441 9.8018 0 2.0429 442 10.199 0 0.33027 443 10.26 0 0.1012 444 10.233 0 0.94713 445 10.157 0 1.4768 446 9.9722 0 1.2968 447 9.6423 0 2.0872 448 9.4464 0 1.7818 449 9.3998 0 1.1352 450 9.4213 0 0.65242 451 9.4564 0 0.54462 452 9.5016 0 0.27054 453 9.4771 0 0.47843 454 9.479 0 0.90365 455 9.5876 0 0.62147 456 9.4128 0 2.008 457 9.4374 0 1.8772 458 9.9278 0 1.7828 459 10.244 0 1.7833 460 10.49 0 2.2482 461 10.844 0 1.9123 462 11.292 0 1.3415 463 11.045 0 2.2529 464 11.131 0 2.2902 465 11.158 0 2.2848 466 11.256 0 2.5949 467 11.409 0 2.7028 468 11.876 0 2.243 469 11.96 0 2.4216 470 12.093 0 1.3013 471 11.451 0 1.7359 472 10.823 0 1.0171 473 10.243 0 1.1343 474 9.7234 0 1.6228 475 9.1682 0 1.6163 476 8.9744 0 1.0599 477 8.5183 0 1.2606 478 8.0555 0 1.1859 479 7.5889 0 1.0933 480 7.0207 0 1.3618 481 6.558 0 0.99598 482 6.278 0 0.85552 483 5.9496 0 1.0429 484 5.5876 0 1.1828 485 4.7409 0 1.6848 486 3.8217 0 2.0385 487 2.9331 0 1.9006 488 2.0366 0 1.7498 489 1.2236 0 1.4199 490 0.79006 0 0.9872 491 0.79006 0 0 492 0.6845 0 0.48638 493 0.54766 0 0.63885 494 0.34374 0 1.1941 495 0.17289 0 1.3367 496 0.095221 0 0.66261 497 0.10697 0 0 498 0.10697 0 0 499 0.10697 0 0 500 0.071966 0 0.21891 501 0.034794 0 0.22917 502 0.034794 0 0 503 0.023043 0 0.092187 504 -1.4676e-15 0 0.1582