1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0.16464 6 0.024242 0 0.32651 7 1.0075 0 0.90342 8 1.9225 0 0.82159 9 2.6659 0 1.5419 10 3.522 0 1.6116 11 4.276 0 0.65122 12 4.3969 0 0.43805 13 4.4678 0 0.37365 14 4.5251 0 0.25725 15 4.5119 0 1.9462 16 4.3578 0 2.1768 17 4.3519 0 1.6952 18 4.224 0 1.442 19 4.0159 0 1.2265 20 3.7935 0 1.0397 21 4.5229 0 1.7318 22 5.2687 0 2.0946 23 6.0684 0 1.6949 24 6.7529 0 0.765 25 6.9293 0 1.5202 26 7.8108 0 2.3149 27 7.9128 0 1.8556 28 7.6234 0 2.01 29 8.0449 0 2.3177 30 8.4402 0 1.7975 31 8.447 0 1.9937 32 8.9695 0 1.8641 33 9.3387 0 2.6288 34 9.7089 0 2.195 35 9.8549 0 0.25725 36 9.8549 0 0 37 9.7855 0 0.82812 38 10.794 0 1.266 39 11.779 0 1.7949 40 12.638 0 1.2333 41 13.405 0 0.72772 42 14.123 0 1.2447 43 15.086 0 0.84542 44 15.762 0 1.2887 45 16.637 0 1.758 46 17.542 0 1.3808 47 18.322 0 1.5701 48 19.067 0 1.5919 49 19.775 0 1.5987 50 20.48 0 1.0792 51 21.076 0 1.6057 52 21.663 0 1.5964 53 22.46 0 1.6839 54 23.357 0 1.6079 55 24.199 0 1.0542 56 24.422 0 0.89686 57 24.539 0 1.0668 58 24.63 0 1.5419 59 24.742 0 1.9559 60 24.927 0 1.5402 61 24.457 0 1.7539 62 23.751 0 2.092 63 23.64 0 1.6116 64 22.98 0 1.8726 65 22.247 0 1.7542 66 22.593 0 1.134 67 21.881 0 2.417 68 21.007 0 2.4279 69 19.936 0 2.2047 70 18.86 0 2.4809 71 17.922 0 2.1731 72 17.391 0 2.8181 73 17.265 0 2.6251 74 17.172 0 2.3369 75 17.287 0 1.1159 76 16.239 0 1.8881 77 15.994 0 1.7618 78 15.607 0 2.042 79 15.377 0 2.2436 80 15.328 0 1.7445 81 15.235 0 1.3369 82 15.331 0 2.4724 83 15.751 0 1.8283 84 15.439 0 1.6441 85 15.048 0 1.8556 86 15.355 0 1.6728 87 15.964 0 1.8673 88 16.295 0 2.2507 89 17.101 0 2.022 90 18.08 0 1.9168 91 18.437 0 1.7094 92 18.501 0 1.0258 93 18.557 0 1.7734 94 17.168 0 3.5362 95 16.429 0 3.1061 96 15.324 0 2.5262 97 14.671 0 2.6958 98 15.282 0 2.0649 99 15.856 0 0.97023 100 16.174 0 0.81397 101 16.425 0 1.8269 102 16.806 0 2.1749 103 16.965 0 2.2944 104 16.871 0 2.981 105 16.677 0 2.7247 106 16.766 0 2.9183 107 17.03 0 2.63 108 17.334 0 1.6655 109 17.559 0 0.76381 110 16.906 0 1.6152 111 16.434 0 1.3864 112 15.896 0 1.1217 113 15.147 0 1.2627 114 14.463 0 1.0048 115 14.613 0 0.3386 116 14.58 0 0.35426 117 14.544 0 0.5155 118 13.951 0 2.307 119 13.899 0 1.9 120 13.898 0 1.9878 121 14.104 0 0.89191 122 13.873 0 1.309 123 14.432 0 1.3308 124 14.765 0 1.2431 125 14.905 0 1.496 126 14.947 0 1.5371 127 15.342 0 1.4684 128 15.919 0 0.32939 129 15.956 0 0.90755 130 16.129 0 1.0945 131 16.182 0 2.4156 132 16.277 0 2.9085 133 16.322 0 1.5593 134 17.31 0 0.77101 135 18.007 0 1.2669 136 18.348 0 1.6064 137 18.14 0 2.4161 138 17.896 0 1.7702 139 17.355 0 1.5698 140 16.212 0 1.5466 141 15.449 0 0.65155 142 16.374 0 0.29538 143 16.626 0 1.5724 144 16.669 0 2.464 145 16.858 0 2.3941 146 17.75 0 1.7388 147 17.874 0 2.4645 148 18.034 0 2.0743 149 18.954 0 0.87874 150 19.072 0 0.51538 151 19.187 0 0 152 19.187 0 0 153 18.955 0 1.9378 154 19.453 0 3.075 155 20.242 0 2.659 156 20.938 0 2.0761 157 21.008 0 2.2264 158 22.332 0 1.236 159 23.51 0 1.5387 160 25.219 0 1.9155 161 26.67 0 2.6438 162 28.381 0 2.8816 163 30.001 0 1.8407 164 30.78 0 1.829 165 31.921 0 3.0394 166 33.16 0 2.0126 167 33.7 0 2.3385 168 33.845 0 2.3237 169 34.427 0 2.1883 170 34.48 0 2.1062 171 35.331 0 1.9781 172 35.854 0 1.7899 173 35.709 0 2.8991 174 35.465 0 3.4395 175 35.956 0 1.5256 176 35.442 0 1.9952 177 34.808 0 2.2833 178 34.193 0 1.5903 179 33.543 0 1.3099 180 33.53 0 0.3519 181 32.864 0 1.0079 182 32.813 0 0.95065 183 32.768 0 0.92152 184 33.478 0 1.1649 185 34.235 0 1.0387 186 34.707 0 1.8677 187 34.936 0 1.9108 188 34.786 0 1.8168 189 34.625 0 0.98479 190 34.086 0 0.74733 191 33.193 0 0.49014 192 32.27 0 0.43881 193 31.429 0 0.46708 194 30.588 0 0.41952 195 29.726 0 0.3826 196 29.71 0 1.0578 197 29.042 0 1.6397 198 27.46 0 2.7761 199 27.071 0 2.512 200 26.455 0 1.9235 201 25.737 0 1.4717 202 24.863 0 0.91135 203 24.279 0 1.106 204 23.569 0 0.99937 205 23.688 0 0.88028 206 24.104 0 1.1319 207 24.634 0 1.6783 208 25.686 0 1.5843 209 26.411 0 2.0399 210 27.094 0 1.8575 211 27.417 0 2.1356 212 27.581 0 1.8681 213 27.769 0 1.3989 214 27.459 0 1.93 215 27.125 0 1.5405 216 26.379 0 2.5088 217 26.355 0 2.5662 218 26.843 0 1.6704 219 26.999 0 0.12795 220 26.681 0 2.4537 221 26.132 0 2.1956 222 25.469 0 2.6691 223 25.181 0 1.9721 224 24.894 0 1.8972 225 24.163 0 1.3694 226 23.442 0 1.4644 227 22.844 0 1.0742 228 22.922 0 1.7402 229 22.321 0 2.0896 230 21.43 0 1.9107 231 20.827 0 1.3153 232 20.031 0 1.5801 233 18.539 0 1.8707 234 18.013 0 1.9599 235 18.141 0 1.396 236 17.316 0 2.9176 237 16.308 0 2.6398 238 15.376 0 2.4849 239 14.903 0 2.2669 240 14.125 0 2.0417 241 13.317 0 1.0324 242 12.501 0 0.68854 243 11.428 0 1.6982 244 10.389 0 1.5802 245 9.7229 0 1.7118 246 9.1876 0 2.5293 247 9.4636 0 3.2565 248 9.9275 0 1.4865 249 9.4039 0 1.4814 250 8.5568 0 1.4329 251 7.4309 0 1.7884 252 6.1991 0 1.5428 253 6.0633 0 0.82557 254 6.0177 0 0.26714 255 5.9019 0 1.5565 256 6.2745 0 1.1185 257 6.9193 0 1.2302 258 7.6632 0 1.1884 259 8.3954 0 1.2861 260 9.0888 0 1.3852 261 9.9909 0 1.0903 262 10.079 0 1.5171 263 10.285 0 1.2892 264 10.439 0 1.4115 265 11.246 0 0.90744 266 12.06 0 0.87257 267 12.91 0 0.96204 268 13.821 0 1.1881 269 15.114 0 1.2915 270 15.273 0 1.6469 271 15.971 0 1.5651 272 16.629 0 1.451 273 17.102 0 0.71398 274 16.889 0 1.9884 275 16.756 0 2.1026 276 15.612 0 2.6114 277 14.996 0 2.3863 278 14.643 0 2.5751 279 15.333 0 2.2008 280 15.017 0 1.2824 281 14.524 0 2.1975 282 14.292 0 2.3024 283 14.096 0 1.8312 284 13.762 0 1.3902 285 13.877 0 1.8052 286 15.141 0 3.5288 287 16.673 0 3.183 288 18.066 0 2.5143 289 18.103 0 1.2128 290 17.832 0 1.4958 291 17.635 0 1.9283 292 17.438 0 1.9957 293 17.294 0 1.2492 294 16.958 0 1.907 295 17.104 0 2.3382 296 17.779 0 2.1493 297 18.208 0 1.658 298 18.672 0 0.37532 299 18.671 0 1.4011 300 18.617 0 2.7187 301 18.732 0 3.7095 302 19.332 0 3.6333 303 19.695 0 2.6972 304 20.086 0 0.79806 305 19.542 0 2.5529 306 19.334 0 2.2137 307 18.99 0 2.1359 308 18.662 0 2.4838 309 18.405 0 1.5665 310 17.897 0 1.8797 311 17.978 0 1.5446 312 18.368 0 1.6268 313 18.987 0 1.5463 314 19.211 0 1.6849 315 19.458 0 1.6733 316 20.144 0 1.5718 317 21.063 0 1.6209 318 21.728 0 0.53659 319 21.476 0 1.4039 320 21.184 0 1.3988 321 20.433 0 1.8376 322 19.613 0 1.825 323 19.182 0 1.5766 324 18.312 0 1.4012 325 17.274 0 1.8789 326 16.358 0 1.6179 327 15.59 0 2.1708 328 14.867 0 2.9257 329 14.588 0 2.1185 330 14.297 0 1.7891 331 14.163 0 0.81768 332 13.822 0 1.618 333 14.55 0 2.1133 334 14.853 0 2.1823 335 15.221 0 2.1288 336 14.968 0 3.765 337 14.522 0 3.6245 338 14.344 0 3.2762 339 14.613 0 2.6487 340 14.933 0 2.2152 341 15.223 0 2.1291 342 15.129 0 2.2584 343 14.536 0 2.3353 344 14.037 0 2.5938 345 14.841 0 2.0824 346 15.477 0 2.3395 347 15.914 0 1.9533 348 16.099 0 2.8842 349 16.591 0 2.2147 350 17.08 0 2.0192 351 17.866 0 1.0971 352 18.059 0 1.19 353 17.449 0 2.0531 354 17.739 0 2.0215 355 18.239 0 1.6058 356 19.046 0 1.4228 357 19.786 0 2.087 358 20.515 0 1.9066 359 21.201 0 1.7715 360 21.821 0 1.1048 361 21.803 0 1.8176 362 21.696 0 1.0226 363 21.314 0 1.0341 364 21.314 0 0.36823 365 21.016 0 1.2885 366 20.688 0 0.96632 367 20.278 0 0.97663 368 19.883 0 1.2484 369 19.942 0 0.32017 370 19.807 0 1.2314 371 19.431 0 1.9119 372 18.785 0 2.1469 373 18.071 0 2.2601 374 17.407 0 2.0739 375 16.545 0 2.1251 376 15.891 0 1.8481 377 15.273 0 2.0519 378 14.59 0 2.1885 379 13.653 0 1.7915 380 12.727 0 1.5053 381 11.607 0 1.0774 382 10.263 0 0.69772 383 9.2971 0 1.5393 384 9.3402 0 1.498 385 9.6058 0 1.124 386 9.7257 0 2.1164 387 9.7372 0 1.0586 388 9.1537 0 0.9537 389 8.7122 0 0.77362 390 8.3137 0 1.1369 391 9.0465 0 1.6957 392 9.7168 0 2.4257 393 10.523 0 2.576 394 11.273 0 1.9993 395 11.788 0 2.0083 396 12.343 0 2.3924 397 12.978 0 2.5701 398 13.518 0 2.4605 399 13.798 0 2.0701 400 13.755 0 1.905 401 13.189 0 0.80366 402 13.385 0 0.28107 403 13.248 0 0.94111 404 13.015 0 1.39 405 12.704 0 1.7673 406 12.414 0 1.7806 407 12.119 0 1.6859 408 11.478 0 1.9449 409 10.862 0 1.8186 410 10.325 0 2.2278 411 9.9284 0 2.3645 412 9.6014 0 2.4064 413 9.5637 0 2.2173 414 9.9318 0 1.9457 415 10.108 0 1.8054 416 9.6028 0 2.4054 417 9.131 0 2.412 418 8.6542 0 2.0454 419 8.2817 0 1.9835 420 8.2979 0 1.7911 421 8.2904 0 1.5061 422 8.1549 0 1.3589 423 7.9604 0 1.3651 424 7.7216 0 1.8589 425 7.6072 0 1.6477 426 7.4623 0 1.7725 427 7.3185 0 1.7428 428 7.1398 0 1.879 429 7.0532 0 0.985 430 6.8029 0 1.2158 431 6.5833 0 0.97846 432 6.413 0 0.72754 433 6.413 0 0 434 6.3283 0 0.41846 435 6.2053 0 0.72771 436 5.6252 0 2.0226 437 4.9007 0 2.3409 438 4.1226 0 2.0834 439 3.3917 0 1.6787 440 3.1658 0 1.8941 441 3.3732 0 2.2956 442 3.6648 0 1.9908 443 3.9064 0 1.9732 444 4.0046 0 1.6207 445 3.9822 0 1.8312 446 4.1465 0 0.88847 447 4.0635 0 1.3683 448 4.134 0 2.0325 449 4.3002 0 2.4359 450 4.2828 0 1.714 451 3.8222 0 2.6375 452 3.469 0 2.5261 453 3.2584 0 2.3637 454 2.9656 0 2.4973 455 2.728 0 1.7312 456 3.1705 0 2.154 457 3.7112 0 2.2315 458 4.1724 0 1.7159 459 4.4983 0 0.95138 460 5.7418 0 1.1209 461 6.952 0 0.59274 462 7.8447 0 0.49707 463 8.7077 0 1.0194 464 9.4041 0 0.25428 465 9.2831 0 1.4174 466 9.807 0 1.2877 467 10.391 0 1.323 468 11.028 0 1.0489 469 11.535 0 1.3909 470 11.984 0 1.4864 471 12.02 0 1.6143 472 12.051 0 1.3884 473 11.633 0 1.2176 474 11.159 0 1.3208 475 10.717 0 1.2064 476 10.259 0 1.3367 477 10.214 0 0.30897 478 9.5501 0 1.5791 479 8.8088 0 1.524 480 8.0659 0 1.451 481 7.4332 0 1.0627 482 6.7544 0 1.0682 483 6.0471 0 1.0023 484 5.2931 0 1.2673 485 5.1642 0 0.55436 486 4.3211 0 1.0813 487 3.3817 0 0.48449 488 2.3889 0 0.061506 489 1.4017 0 0.098574 490 0.41145 0 0.079304 491 0.41145 0 0 492 0.20931 0 0.72619 493 2.1427e-14 0 0.74015 494 2.1427e-14 0 0 495 2.1427e-14 0 0 496 2.1427e-14 0 0 497 2.1427e-14 0 0 498 2.1427e-14 0 0