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 0.43267 9 0.088864 0 0.41709 10 0.15817 0 0.10148 11 0.17139 0 0 12 0.17139 0 0.4271 13 0.24337 0 0.34184 14 0.29761 0 0.27602 15 0.33668 0 1.1232 16 0.53043 0 1.157 17 0.731 0 1.0034 18 0.90559 0 0.91591 19 1.0583 0 0.45655 20 1.1247 0 0 21 1.1247 0 0 22 1.1247 0 0.084804 23 1.0334 0 1.7361 24 1.134 0 2.592 25 1.3591 0 2.5861 26 1.6025 0 2.2185 27 1.9165 0 0.49894 28 1.9695 0 0.26937 29 1.9695 0 0.77877 30 2.7958 0 0.56273 31 3.714 0 0.8629 32 4.5014 0 1.5457 33 5.3469 0 1.2526 34 5.9273 0 0.15705 35 5.9073 0 0.14141 36 5.9073 0 0.061506 37 6.9001 0 0.2947 38 7.8912 0 0.60067 39 8.857 0 0.63574 40 9.7604 0 1.5432 41 10.645 0 0.95803 42 11.554 0 0.93099 43 12.418 0 0.77606 44 12.574 0 1.6463 45 13.34 0 1.8841 46 14.336 0 2.0471 47 15.28 0 0.99999 48 15.778 0 1.4642 49 16.404 0 1.6352 50 16.954 0 0.58784 51 17.073 0 0.29 52 17.067 0 0.96333 53 17.503 0 1.9436 54 17.793 0 1.4709 55 17.348 0 1.3742 56 17.808 0 1.0559 57 18.123 0 1.6305 58 18.656 0 1.3003 59 19.956 0 1.5388 60 21.538 0 0.84283 61 22.662 0 1.4836 62 23.612 0 1.2543 63 23.981 0 0.12504 64 23.998 0 1.752 65 23.907 0 2.0094 66 23.915 0 2.0563 67 24.152 0 2.0239 68 23.89 0 1.9542 69 23.337 0 1.2955 70 22.736 0 1.3997 71 22.056 0 2.1449 72 21.601 0 1.0757 73 22.331 0 1.765 74 22.76 0 2.872 75 22.561 0 2.431 76 22.579 0 1.8489 77 22.395 0 2.1778 78 21.803 0 1.299 79 20.858 0 1.2005 80 19.902 0 1.6925 81 19.709 0 1.5888 82 19.36 0 2.0504 83 18.916 0 2.1613 84 18.368 0 2.4869 85 17.961 0 2.987 86 17.852 0 2.7092 87 18.403 0 1.9948 88 18.807 0 0.9956 89 18.992 0 0.21938 90 19.021 0 0.13058 91 19.04 0 0 92 19.04 0 0.68799 93 19.181 0 1.0882 94 19.383 0 0.47243 95 19.447 0 0 96 19.447 0 0 97 19.447 0 0.55555 98 19.545 0 2.1151 99 20.448 0 1.991 100 21.366 0 2.1943 101 22.185 0 1.5129 102 22.858 0 1.5317 103 23.317 0 1.4752 104 23.611 0 1.8031 105 23.933 0 1.8546 106 24.42 0 1.5732 107 23.954 0 2.0667 108 23.371 0 2.0279 109 23.182 0 2.0221 110 23.239 0 0.61932 111 22.805 0 1.5444 112 22.232 0 1.6615 113 21.537 0 1.5177 114 21.293 0 1.4373 115 21.299 0 0.70991 116 20.779 0 0.25991 117 19.771 0 1.1239 118 19.537 0 1.4002 119 18.735 0 1.4529 120 18.351 0 1.758 121 18.563 0 1.8579 122 18.363 0 2.5038 123 18.461 0 2.021 124 18.399 0 1.7824 125 17.221 0 1.9152 126 16.768 0 1.3485 127 17.125 0 0.94913 128 16.425 0 1.5388 129 15.676 0 1.791 130 14.969 0 1.8159 131 14.067 0 1.4245 132 13.105 0 1.3425 133 12.689 0 1.4311 134 12.681 0 1.6623 135 12.272 0 1.8488 136 12.664 0 2.1211 137 13.185 0 2.013 138 13.988 0 2.1267 139 14.686 0 3.4111 140 15.615 0 3.1669 141 17.323 0 3.1185 142 18.655 0 1.8345 143 20.316 0 2.2755 144 21.337 0 1.4868 145 21.402 0 2.1969 146 21.62 0 2.1137 147 21.754 0 1.8959 148 21.768 0 1.9086 149 21.481 0 2.6211 150 21.25 0 1.9714 151 20.915 0 1.9644 152 20.612 0 2.2682 153 20.027 0 2.7448 154 19.244 0 2.6244 155 18.722 0 1.8548 156 18.116 0 1.5525 157 18.1 0 1.4951 158 18.307 0 0.83707 159 18.404 0 1.5118 160 18.614 0 1.3815 161 18.698 0 1.9333 162 19.335 0 1.6041 163 19.33 0 2.0558 164 19.643 0 1.6164 165 19.621 0 2.2315 166 19.531 0 2.0391 167 19.321 0 1.2184 168 18.431 0 1.2879 169 17.575 0 2.4103 170 18.194 0 2.2031 171 18.8 0 1.3298 172 18.958 0 1.0698 173 19.154 0 1.5606 174 19.468 0 1.7346 175 18.897 0 1.9581 176 18.03 0 1.6633 177 18.2 0 0.18971 178 18.229 0 0.18198 179 18.245 0 0.25506 180 18.028 0 0.95952 181 17.256 0 2.0754 182 16.658 0 1.9955 183 15.993 0 2.6669 184 15.985 0 2.0836 185 16.798 0 1.9013 186 17.096 0 2.7296 187 18.148 0 1.992 188 19.138 0 2.2067 189 19.878 0 2.1048 190 20.262 0 1.8204 191 20.747 0 1.5826 192 21.1 0 2.2641 193 21.464 0 2.5013 194 21.722 0 2.4522 195 21.536 0 2.4495 196 21.052 0 2.8089 197 20.938 0 3.4386 198 21.599 0 2.5031 199 21.617 0 1.3511 200 21.593 0 1.2672 201 21.517 0 1.5206 202 20.75 0 2.73 203 20.909 0 2.4762 204 21.454 0 1.7623 205 21.447 0 1.5315 206 20.815 0 3.4185 207 20.457 0 3.357 208 19.819 0 2.3047 209 18.478 0 1.5336 210 18.1 0 2.22 211 17.223 0 1.9278 212 17.425 0 1.8053 213 17.617 0 1.7452 214 17.819 0 1.494 215 17.989 0 1.5835 216 17.612 0 1.3212 217 18.176 0 0 218 18.1 0 0.69783 219 18.109 0 0.48123 220 18.1 0 0.88838 221 18.219 0 1.1286 222 18.401 0 1.2978 223 18.019 0 2.1074 224 17.892 0 2.4531 225 17.033 0 3.2068 226 17.119 0 3.3595 227 17.195 0 2.2048 228 17.169 0 1.0819 229 16.895 0 1.1104 230 16.239 0 1.1959 231 15.809 0 1.573 232 15.236 0 2.0975 233 15.252 0 1.5123 234 15.222 0 1.29 235 15.104 0 1.5461 236 14.909 0 2.3514 237 15.061 0 2.2886 238 15.293 0 2.3236 239 15.559 0 2.6441 240 15.932 0 2.7026 241 16.418 0 2.5274 242 16.895 0 2.5484 243 18.431 0 1.6632 244 19.456 0 2.5084 245 20.464 0 2.4999 246 20.895 0 2.8247 247 20.805 0 2.9364 248 20.801 0 2.5925 249 20.681 0 2.7255 250 20.262 0 3.9485 251 20.071 0 4.0925 252 19.848 0 3.0475 253 18.901 0 1.2252 254 18.235 0 1.1557 255 18.354 0 1.8595 256 18.897 0 2.2124 257 19.493 0 2.2489 258 19.154 0 3.7427 259 19.106 0 3.0539 260 19.279 0 1.6138 261 19.197 0 1.2474 262 19.307 0 1.2223 263 19.464 0 0.84103 264 19.137 0 1.5586 265 18.904 0 1.4318 266 18.697 0 1.8706 267 18.58 0 1.843 268 18.997 0 0 269 18.997 0 0 270 18.506 0 1.2458 271 18.539 0 1.7863 272 18.575 0 2.116 273 18.632 0 2.1311 274 19.151 0 1.7642 275 19.199 0 2.0296 276 19.535 0 1.6886 277 19.572 0 1.5803 278 19.823 0 1.65 279 19.688 0 1.6596 280 19.245 0 1.4008 281 18.807 0 1.9491 282 18.652 0 1.9199 283 18.293 0 1.752 284 18.092 0 2.078 285 17.421 0 3.844 286 16.985 0 3.5264 287 16.375 0 2.4535 288 15.555 0 1.9014 289 15.531 0 2.7636 290 16.008 0 1.6376 291 16.154 0 2.1069 292 15.943 0 3.6622 293 16.447 0 3.2841 294 16.577 0 3.5622 295 16.952 0 2.5513 296 17.023 0 2.968 297 16.572 0 3.3817 298 16.099 0 3.5106 299 15.698 0 3.4575 300 15.689 0 2.368 301 15.467 0 2.1508 302 14.809 0 2.2341 303 14.709 0 2.1284 304 14.858 0 2.0331 305 15.094 0 1.3127 306 15.861 0 1.159 307 16.529 0 0.86147 308 16.441 0 1.3048 309 16.493 0 1.4435 310 16.542 0 1.4662 311 16.512 0 1.8002 312 16.267 0 2.1864 313 16.813 0 2.4295 314 17.328 0 2.2594 315 17.493 0 2.3908 316 18.115 0 0.9259 317 17.993 0 1.0973 318 18.57 0 1.1138 319 18.693 0 2.2363 320 19.052 0 1.5397 321 18.696 0 1.3532 322 18.548 0 0.60441 323 18.401 0 0.60071 324 18.27 0 0.6528 325 18.282 0 0.099204 326 18.259 0 0.22286 327 18.197 0 0.54844 328 18.159 0 0.54339 329 18.128 0 0.60464 330 18.008 0 0.90315 331 17.092 0 1.3062 332 16.121 0 1.0827 333 15.15 0 1.4326 334 14.096 0 1.7694 335 13.541 0 1.68 336 13.028 0 1.4855 337 12.588 0 0.87114 338 11.527 0 1.497 339 10.837 0 1.3713 340 9.9381 0 1.3858 341 9.0391 0 1.0137 342 8.407 0 1.1867 343 8.3819 0 0.7904 344 8.8562 0 0.68344 345 9.483 0 0.6547 346 10.393 0 0.39258 347 11.296 0 0.3862 348 12.283 0 0.18728 349 12.789 0 0.81097 350 13.216 0 1.3604 351 13.174 0 1.9437 352 12.693 0 1.7162 353 13.198 0 1.6458 354 13.87 0 0.89446 355 14.77 0 0.58566 356 15.574 0 0.89321 357 16.226 0 1.4942 358 16.853 0 0.90182 359 17.51 0 1.1968 360 18.326 0 1.0732 361 19.008 0 1.2082 362 19.504 0 0.4371 363 19.441 0 0.33788 364 19.441 0 0.1885 365 18.618 0 0.83568 366 18.209 0 1.0941 367 18.361 0 1.2599 368 18.441 0 1.2617 369 18.414 0 0.77389 370 17.85 0 2.3843 371 17.574 0 1.0569 372 17.051 0 1.1485 373 16.511 0 1.1639 374 15.962 0 1.1953 375 15.235 0 0.6467 376 14.398 0 0.18768 377 13.592 0 0.68496 378 13.139 0 1.4298 379 12.747 0 1.8863 380 12.43 0 1.8083 381 12.816 0 1.196 382 13.066 0 0.92281 383 13.94 0 0.80144 384 14.794 0 0.71225 385 15.599 0 0.74761 386 16.346 0 1.1151 387 17.136 0 1.1567 388 17.876 0 1.2462 389 17.969 0 0.94403 390 17.957 0 1.6531 391 18.341 0 1.2742 392 18 0 1.1634 393 17.63 0 1.1495 394 17.216 0 1.2431 395 16.758 0 1.0727 396 16.083 0 1.0547 397 15.42 0 0.79353 398 15.456 0 1.1008 399 16.029 0 1.2358 400 16.105 0 1.7573 401 16.081 0 1.7547 402 16.268 0 1.2876 403 16.337 0 0 404 16.303 0 0.21694 405 16.011 0 0.8705 406 15.696 0 1.0582 407 15.376 0 1.8026 408 15.274 0 1.4035 409 15.369 0 0.40021 410 15.424 0 0 411 14.429 0 0.99616 412 13.376 0 1.3697 413 12.367 0 1.4219 414 11.393 0 1.1608 415 11.341 0 0.29381 416 11.222 0 0.74358 417 11.1 0 1.403 418 10.681 0 1.8513 419 9.9215 0 1.7417 420 8.7088 0 2.5587 421 8.2697 0 2.2191 422 7.9394 0 2.4222 423 8.4412 0 2.0478 424 9.0611 0 2.6339 425 8.955 0 2.5642 426 8.6304 0 2.5461 427 8.855 0 1.7587 428 8.8714 0 2.2425 429 9.0223 0 2.4482 430 9.7651 0 1.6648 431 9.9592 0 0.38121 432 9.9402 0 0.13557 433 9.923 0 1.0334 434 10.256 0 1.2198 435 10.609 0 1.3325 436 10.893 0 0.69379 437 10.915 0 2.4791 438 12.061 0 2.4996 439 12.727 0 0.1258 440 12.63 0 1.3771 441 13.148 0 1.4289 442 13.784 0 1.5321 443 14.527 0 1.3677 444 14.93 0 1.9111 445 15.031 0 1.7697 446 14.511 0 2.5694 447 14.485 0 0.91879 448 15.267 0 0.85467 449 15.709 0 1.5675 450 15.987 0 2.3161 451 16.394 0 1.7982 452 17.077 0 1.8765 453 17.328 0 0.94163 454 17.404 0 0 455 16.843 0 1.0617 456 16.122 0 1.4581 457 16.141 0 1.1574 458 16.11 0 1.5491 459 16.727 0 1.62 460 17.372 0 1.5576 461 18.024 0 1.4035 462 17.904 0 1.8205 463 17.908 0 1.2681 464 17.418 0 2.2999 465 17.206 0 1.4226 466 17.581 0 1.2966 467 17.731 0 1.307 468 17.766 0 1.4834 469 17.911 0 0.72049 470 17.86 0 1.6431 471 17.989 0 1.3597 472 18.088 0 1.0931 473 17.929 0 1.5583 474 17.571 0 1.9375 475 17.211 0 1.9007 476 17.81 0 2.0174 477 17.855 0 1.3069 478 17.086 0 2.1314 479 17.819 0 2.8021 480 18.154 0 2.7092 481 18.206 0 2.8359 482 18.731 0 2.7284 483 19.564 0 3.0413 484 20.766 0 3.3554 485 20.996 0 4.5661 486 21.712 0 3.8516 487 22.375 0 3.2178 488 22.634 0 1.3907 489 22.065 0 2.1804 490 21.845 0 1.4741 491 22.284 0 1.1459 492 22.477 0 1.2847 493 22.752 0 1.693 494 23.619 0 1.6884 495 24.246 0 2.0942 496 24.906 0 0.92639 497 24.242 0 2.3725 498 23.848 0 2.1103 499 23.395 0 1.538 500 22.854 0 1.4223 501 22.226 0 1.3266 502 21.38 0 1.5679 503 21.168 0 3.4063 504 21.329 0 3.0607 505 22.464 0 1.2715 506 22.847 0 2.5126 507 23.586 0 2.9776 508 24.382 0 2.1474 509 24.833 0 3.0738 510 25.371 0 1.8257 511 25.36 0 3.2405 512 25.682 0 2.165 513 25.815 0 1.1718 514 25.746 0 1.8485 515 25.81 0 0.7479 516 25.651 0 1.0466 517 25.393 0 2.5094 518 25.495 0 2.5428 519 25.585 0 2.411 520 26.313 0 1.7267 521 26.856 0 1.6282 522 27.75 0 1.8047 523 28.858 0 1.7422 524 29.938 0 1.6311 525 30.426 0 0.98489 526 30.582 0 2.0171 527 30.428 0 2.0109 528 30.154 0 1.5242 529 29.611 0 1.5194 530 29.023 0 1.9094 531 28.574 0 1.9377 532 28.444 0 3.0338 533 28.05 0 3.2319 534 28.438 0 2.0173 535 28.607 0 2.1438 536 28.497 0 2.1887 537 27.662 0 1.9125 538 26.723 0 2.9055 539 26.794 0 2.8974 540 26.249 0 3.5011 541 25.461 0 2.2491 542 24.733 0 1.9217 543 23.629 0 2.5285 544 23.099 0 1.9608 545 23.195 0 1.9406 546 22.768 0 2.7129 547 22.437 0 1.766 548 22.28 0 1.3295 549 21.89 0 1.8717 550 21.413 0 1.9427 551 20.622 0 1.9592 552 19.594 0 1.601 553 19.439 0 0.7333 554 19.384 0 0.30742 555 19.384 0 0 556 19.119 0 1.2397 557 18.09 0 1.4163 558 17.009 0 1.2118 559 15.752 0 0.75896 560 14.319 0 0.68306 561 12.833 0 0.62961 562 11.262 0 0.54435 563 11.194 0 0.6852 564 11.02 0 0.86748 565 10.716 0 1.211 566 10.054 0 1.9919 567 8.9486 0 1.612 568 7.7356 0 1.7284 569 6.4806 0 1.6553 570 5.2917 0 0.96753 571 5.2808 0 0.086698 572 4.5237 0 1.0364 573 4.3918 0 1.1809 574 4.4936 0 1.0044 575 4.931 0 1.8286 576 4.7608 0 2.4239 577 4.4582 0 1.6645 578 4.3532 0 0.74331 579 4.3775 0 0 580 4.3775 0 0.60551 581 4.351 0 2.1906 582 4.8446 0 1.9557 583 5.4705 0 1.9427 584 6.0763 0 2.1495 585 6.7384 0 2.0541 586 7.6118 0 2.0476 587 8.4657 0 2.0272 588 9.2689 0 2.1372 589 9.9515 0 1.4595 590 10.207 0 1.1015 591 10.294 0 1.0692 592 10.331 0 2.4724 593 10.629 0 3.3704 594 11.156 0 3.4667 595 11.71 0 3.3181 596 12.06 0 2.3004 597 12.286 0 1.5597 598 12.44 0 1.5821 599 12.761 0 1.8295 600 13.225 0 1.7537 601 13.779 0 1.3409 602 14.27 0 1.2343 603 14.351 0 2.1798 604 14.565 0 2.5739 605 14.257 0 2.5861 606 13.873 0 2.4592 607 13.309 0 2.9098 608 13.291 0 3.0489 609 13.523 0 3.166 610 13.997 0 3.2176 611 14.865 0 2.9938 612 15.962 0 2.6374 613 17.044 0 2.2695 614 17.702 0 2.3051 615 18.039 0 2.6289 616 18.624 0 2.0155 617 19.114 0 1.7825 618 19.396 0 2.2758 619 19.881 0 1.5384 620 20.212 0 1.0307 621 20.372 0 1.2754 622 20.431 0 1.208 623 20.407 0 1.119 624 20.23 0 0.89749 625 19.854 0 1.6573 626 20.169 0 1.9776 627 20.576 0 1.6189 628 20.565 0 2.2876 629 20.809 0 2.5927 630 21.018 0 2.5824 631 21.391 0 1.7653 632 21.461 0 2.3146 633 21.469 0 1.7494 634 21.414 0 1.6903 635 21.165 0 2.7521 636 21.025 0 2.9678 637 21.09 0 3.3989 638 21.028 0 3.5491 639 20.851 0 3.3822 640 20.742 0 2.5371 641 20.08 0 1.9143 642 19.367 0 2.5832 643 19.244 0 2.1094 644 18.907 0 3.1392 645 19.258 0 2.7549 646 19.131 0 2.6197 647 18.793 0 2.3031 648 18.257 0 2.4149 649 17.676 0 2.5072 650 17.883 0 2.2136 651 17.41 0 1.8132 652 16.625 0 2.1086 653 15.795 0 1.9718 654 15.252 0 2.4546 655 15.343 0 1.9305 656 14.947 0 1.925 657 14.285 0 1.838 658 13.541 0 2.2726 659 12.8 0 2.4925 660 12.181 0 2.6065 661 12.094 0 0.97764 662 11.838 0 1.6074 663 11.678 0 1.3211 664 11.458 0 1.5506 665 11.149 0 1.5609 666 10.813 0 1.2551 667 10.262 0 1.7237 668 9.6925 0 1.8064 669 9.4401 0 1.0539 670 9.0714 0 2.0635 671 8.8513 0 1.9852 672 8.3655 0 2.2902 673 8.2515 0 1.8774 674 8.351 0 1.1226 675 8.2007 0 1.9371 676 8.0153 0 1.5944 677 7.6993 0 1.3952 678 7.3497 0 1.6341 679 7.2135 0 0.95875 680 7.0894 0 0.75379 681 6.7929 0 1.5865 682 6.4055 0 1.8464 683 6.2202 0 0.9527 684 5.7818 0 1.8044 685 5.349 0 1.8018 686 4.8344 0 1.9552 687 4.291 0 1.9339 688 3.5412 0 2.5791 689 2.7715 0 2.5463 690 2.51 0 1.14 691 2.1911 0 1.3043 692 1.9102 0 1.049 693 1.6962 0 0.86305 694 1.1996 0 1.6013 695 0.68629 0 1.4919 696 0.18936 0 1.4842 697 0.045566 0 0.59409 698 0.045566 0 0 699 0.045566 0 0 700 0.033966 0 0.091218 701 0.019853 0 0.10697 702 2.7135e-14 0 0.14061 703 2.7135e-14 0 0 704 2.7135e-14 0 0 705 2.7135e-14 0 0