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 0.10292 8 0.013456 0 0.092325 9 0.025228 0 0 10 0.025228 0 0 11 0.025228 0 0 12 0.025228 0 0 13 0.025228 0 0 14 0.025228 0 0 15 0.025228 0 0 16 0.025228 0 0 17 0.025228 0 0 18 0.025228 0 0 19 0.025228 0 0.096799 20 0.037705 0 0.23005 21 0.068714 0 0.1373 22 0.08798 0 0 23 0.08798 0 0.36203 24 0.15694 0 0.35749 25 0.21122 0 1.3511 26 0.42951 0 0.35234 27 0.46512 0 0 28 0.46512 0 0 29 0.46512 0 0.98461 30 1.038 0 0.98764 31 1.5817 0 1.7137 32 2.2424 0 0.90648 33 2.3741 0 0 34 2.3741 0 0 35 2.3741 0 0.08279 36 2.3844 0 0.081989 37 2.3409 0 1.5508 38 2.9622 0 1.563 39 3.6147 0 0 40 3.6147 0 0.18541 41 3.6429 0 0 42 3.6429 0 0 43 3.6429 0 0 44 3.6429 0 0.12641 45 3.632 0 0.66248 46 3.7162 0 0.45646 47 3.1593 0 2.1908 48 2.7382 0 2.0811 49 2.9556 0 0.23316 50 2.9936 0 0 51 2.9936 0 0 52 2.9936 0 0 53 2.9936 0 0.15314 54 2.406 0 2.5524 55 2.3776 0 2.8102 56 2.3131 0 2.8893 57 2.883 0 0.42682 58 2.9059 0 0 59 2.8687 0 0.42346 60 2.8989 0 0 61 2.7976 0 0.62107 62 2.811 0 0 63 2.767 0 0.26041 64 2.7159 0 0.29076 65 2.5023 0 2.2358 66 2.6527 0 1.5799 67 2.8918 0 0 68 2.8918 0 0 69 2.755 0 0.57587 70 2.6148 0 0.5847 71 2.4232 0 1.6443 72 2.5267 0 0.55549 73 2.57 0 0.082123 74 2.5802 0 0 75 2.5802 0 0 76 2.5802 0 0 77 2.4942 0 0.42286 78 2.4942 0 0 79 2.4942 0 0 80 2.4942 0 0 81 2.1313 0 2.4262 82 1.8706 0 2.5011 83 1.9905 0 0.090666 84 1.9905 0 0 85 1.9905 0 0 86 1.9905 0 0 87 1.9905 0 0 88 1.9905 0 0.091495 89 2.0022 0 0 90 1.7425 0 0.92452 91 1.4809 0 0.84883 92 1.1407 0 1.4664 93 1.155 0 0.21178 94 1.155 0 0.22034 95 1.1903 0 0 96 1.1903 0 0 97 1.1903 0 0 98 1.103 0 0.48384 99 1.0243 0 0.39751 100 0.82225 0 1.2107 101 0.72053 0 0.65853 102 0.54962 0 1.2017 103 0.49072 0 0.43048 104 0.44682 0 0.29463 105 0.44682 0 0 106 0.42513 0 0.15087 107 0.40088 0 0.16464 108 0.33992 0 0.42567 109 0.30663 0 0.24361 110 0.28967 0 0.12397 111 0.28967 0 0 112 0.23557 0 0.34511 113 0.18642 0 0.28278 114 0.11115 0 0.44373 115 0.081342 0 0.22297 116 0.081342 0 0 117 0.081342 0 0 118 0.081342 0 0 119 0.081342 0 0 120 0.081342 0 0.11881 121 0.09742 0 0 122 0.09742 0 0 123 0.09742 0 0 124 0.09742 0 0 125 0.09742 0 0 126 0.09742 0 0 127 0.081342 0 0.63653 128 0.16335 0 0.20926 129 0.19087 0 0.26302 130 0.23547 0 0 131 0.23547 0 0.092325 132 0.24725 0 0 133 0.24725 0 0 134 0.24725 0 0 135 0.24725 0 0 136 0.24725 0 0 137 0.19998 0 1.235 138 0.90058 0 1.2176 139 1.6212 0 0 140 1.5917 0 0.59455 141 1.6187 0 0.52209 142 1.6661 0 0 143 0.96986 0 1.3089 144 0.38042 0 1.2729 145 0.51062 0 0 146 0.51062 0 0 147 0.51062 0 0 148 0.51062 0 0 149 0.51062 0 0 150 0.51062 0 0 151 0.51062 0 0 152 0.51062 0 0 153 0.40441 0 0.59261 154 0.34918 0 0.30819 155 0.29892 0 0.28752 156 0.29892 0 0.40888 157 0.36903 0 0.43001 158 0.43188 0 0.25391 159 0.47444 0 0.20682 160 0.50695 0 0.17384 161 0.53294 0 0.14909 162 0.55431 0 0 163 0.55431 0 0 164 0.55431 0 0 165 0.55431 0 0.16547 166 0.57871 0 0.17149 167 0.60425 0 0.15265 168 0.62627 0 0.20664 169 0.5184 0 1.1791 170 0.43502 0 1.0423 171 0.47304 0 0.46419 172 0.55139 0 0.61938 173 0.65294 0 0.29095 174 0.70401 0 0.27164 175 0.75058 0 0.25243 176 0.79281 0 0.22106 177 0.82827 0 0 178 0.82827 0 0.13275 179 0.84674 0 0.72868 180 1.0501 0 0.77081 181 1.2761 0 0.74278 182 1.4867 0 0.7176 183 1.6846 0 0.69289 184 1.8705 0 0.66821 185 2.0452 0 0 186 2.0452 0 0 187 2.0452 0 0 188 2.0452 0 0.66038 189 2.874 0 0.63394 190 3.6923 0 0.90676 191 4.677 0 0.90598 192 5.4987 0 1.2355 193 6.3613 0 0.67618 194 6.421 0 0.20664 195 6.421 0 0.70746 196 6.5725 0 0.64398 197 6.7102 0 0.14204 198 6.7303 0 0.25278 199 6.0016 0 1.0484 200 5.3969 0 0.89368 201 4.7619 0 0.75645 202 4.0968 0 0.66407 203 3.4232 0 1.3047 204 4.1397 0 1.0947 205 4.606 0 1.1321 206 5.0169 0 0.82019 207 5.1714 0 0.39225 208 5.2327 0 1.0978 209 5.4894 0 1.3711 210 5.8143 0 1.3078 211 6.12 0 1.4107 212 6.456 0 1.7903 213 6.9165 0 1.6395 214 7.2952 0 0.50119 215 7.2356 0 1.1836 216 7.1904 0 0.91424 217 6.9878 0 2.0536 218 7.2763 0 1.8001 219 7.0658 0 3.3152 220 7.0835 0 3.0322 221 6.8451 0 1.848 222 6.0929 0 3.6164 223 6.131 0 3.6317 224 6.2932 0 2.6831 225 6.9004 0 1.2828 226 7.4437 0 1.3023 227 8.0239 0 0 228 7.9928 0 0.19944 229 7.9609 0 0.29808 230 7.9731 0 0 231 7.8815 0 0.63845 232 7.7933 0 0.57009 233 7.7025 0 0.6928 234 7.7197 0 0.60892 235 7.7945 0 0.31456 236 7.7996 0 1.5291 237 8.1681 0 1.5909 238 8.4406 0 2.5795 239 9.0452 0 2.5705 240 9.6696 0 1.4591 241 10.012 0 0.80249 242 10.188 0 1.1246 243 10.347 0 1.4911 244 10.585 0 1.6602 245 10.815 0 1.1837 246 10.91 0 0.50646 247 10.916 0 0.16998 248 10.701 0 0.94877 249 10.49 0 1.0563 250 9.7106 0 1.5146 251 9.6739 0 1.737 252 9.9384 0 1.4533 253 10.157 0 1.3902 254 10.296 0 1.4311 255 10.98 0 1.8588 256 11.12 0 2.1376 257 10.752 0 1.6768 258 10.181 0 1.3685 259 10.603 0 1 260 10.94 0 1.2564 261 10.984 0 2.688 262 11.302 0 1.8689 263 11.695 0 0.66705 264 12.556 0 0.65328 265 13.388 0 0.85674 266 14.202 0 0.67249 267 14.288 0 0.75432 268 14.392 0 0.27627 269 14.431 0 0.90673 270 14.74 0 0.92741 271 14.991 0 2.1309 272 15.583 0 1.5811 273 16.004 0 1.2101 274 15.355 0 1.3624 275 15.158 0 1.3866 276 15.053 0 0.59399 277 14.917 0 0.52633 278 15.355 0 1.3277 279 15.337 0 0.90882 280 15.244 0 0.98104 281 14.289 0 1.3941 282 14.341 0 1.0112 283 14.571 0 1.6864 284 15.065 0 0.77759 285 14.897 0 1.387 286 14.855 0 1.6922 287 15.926 0 1.3238 288 16.788 0 1.4094 289 17.745 0 1.3685 290 18.602 0 1.2919 291 18.892 0 1.9151 292 19.275 0 1.6345 293 20.049 0 1.7024 294 20.61 0 2.0728 295 21.905 0 1.9039 296 22.733 0 1.416 297 23.336 0 1.656 298 23.562 0 2.9244 299 23.856 0 2.9167 300 24.328 0 2.289 301 24.67 0 2.7036 302 24.442 0 1.9766 303 24.262 0 3.2462 304 23.908 0 3.074 305 24.078 0 2.0713 306 24.243 0 2.1368 307 24.274 0 1.7325 308 24.086 0 1.6225 309 23.844 0 1.8839 310 24.421 0 1.5879 311 24.591 0 2.1612 312 25.014 0 2.2414 313 25.154 0 2.1203 314 25.746 0 0.67977 315 25.782 0 2.2975 316 26.088 0 2.6875 317 25.763 0 3.211 318 25.741 0 1.2276 319 25.156 0 1.759 320 24.467 0 1.833 321 23.975 0 1.063 322 24.229 0 1.0378 323 24.936 0 1.1234 324 25.328 0 1.9103 325 25.47 0 2.3634 326 25.512 0 2.0822 327 25.231 0 1.8698 328 24.79 0 2.1588 329 24.555 0 2.2357 330 24.173 0 2.3291 331 23.662 0 2.9395 332 23.486 0 2.8183 333 24.09 0 1.7248 334 23.953 0 1.2829 335 24.385 0 1.3631 336 24.647 0 1.734 337 24.847 0 1.949 338 24.956 0 1.9888 339 24.391 0 1.9294 340 24.302 0 2.3138 341 24.148 0 2.3356 342 23.693 0 2.0375 343 23.695 0 1.9469 344 23.375 0 2.3188 345 23.191 0 1.8715 346 22.991 0 1.6571 347 22.705 0 2.1794 348 23.302 0 2.1482 349 23.634 0 2.1421 350 23.961 0 1.2381 351 23.285 0 1.7867 352 22.96 0 2.4633 353 24.045 0 2.1891 354 25.098 0 2.2373 355 25.961 0 2.3064 356 26.829 0 1.2272 357 27.145 0 1.1387 358 27.505 0 1.8691 359 27.491 0 2.2604 360 27.493 0 1.1587 361 27.237 0 1.5792 362 26.908 0 1.8076 363 26.57 0 1.5969 364 26.156 0 1.7116 365 25.709 0 2.389 366 25.261 0 2.6712 367 24.869 0 4.1215 368 25.387 0 2.8015 369 25.999 0 1.905 370 26.106 0 3.5248 371 26.394 0 4.0858 372 26.766 0 2.2845 373 26.393 0 2.7288 374 26.206 0 3.1281 375 26.464 0 2.4711 376 25.481 0 3.78 377 26.048 0 2.84 378 25.449 0 2.6576 379 24.824 0 3.3292 380 24.503 0 2.2543 381 25.04 0 1.6714 382 24.822 0 3.2929 383 25.209 0 2.7845 384 25.44 0 1.4389 385 24.704 0 2.6602 386 24.249 0 3.0464 387 24.384 0 3.5567 388 24.79 0 3.8353 389 25.269 0 2.5397 390 25.973 0 2.3802 391 26.21 0 1.5078 392 25.974 0 1.4674 393 25.538 0 1.101 394 25.219 0 1.1478 395 25.727 0 2.372 396 25.892 0 2.0326 397 26.23 0 1.4202 398 27.261 0 1.8854 399 27.754 0 2.1383 400 27.747 0 2.7234 401 29.08 0 2.1949 402 29.611 0 2.2133 403 29.868 0 1.5536 404 30.821 0 1.4695 405 31.157 0 2.4614 406 31.838 0 2.8699 407 32.436 0 2.4621 408 32.743 0 1.9445 409 32.858 0 2.0144 410 32.278 0 2.4201 411 31.663 0 2.5286 412 31.125 0 2.5 413 30.623 0 2.1565 414 31.413 0 1.2229 415 31.364 0 2.7153 416 31.382 0 2.1736 417 30.343 0 2.4903 418 30.016 0 2.21 419 30.492 0 0.78489 420 31.301 0 0.89862 421 31.376 0 2.5526 422 31.21 0 2.8732 423 30.31 0 2.8901 424 30.195 0 2.6002 425 30.434 0 2.6708 426 30.483 0 3.1801 427 30.547 0 2.7064 428 30.044 0 2.8897 429 28.844 0 2.99 430 27.934 0 2.5348 431 28.333 0 2.0181 432 28.065 0 2.813 433 27.93 0 2.5251 434 29.076 0 2.8441 435 29.807 0 2.7036 436 30.611 0 2.2623 437 31.059 0 1.4478 438 30.512 0 3.4584 439 30.421 0 2.7709 440 30.725 0 1.3667 441 30.762 0 1.61 442 31.981 0 2.0316 443 33.351 0 1.6709 444 34.19 0 2.238 445 33.691 0 2.8823 446 33.758 0 2.4043 447 33.676 0 2.5431 448 33.542 0 1.5586 449 32.879 0 2.2745 450 33.267 0 2.4292 451 33.912 0 2.2436 452 33.426 0 1.6118 453 32.873 0 1.141 454 32.46 0 0.79387 455 32.179 0 1.0277 456 31.817 0 1.5788 457 31.411 0 2.1758 458 31.182 0 2.3234 459 30.197 0 2.0047 460 30.012 0 2.0301 461 29.903 0 1.5793 462 29.153 0 3.2136 463 28.634 0 2.5368 464 28.146 0 2.6137 465 28.283 0 2.1184 466 28.072 0 2.0707 467 27.663 0 2.8797 468 26.89 0 2.1897 469 25.76 0 1.1543 470 26.303 0 0.99668 471 27.637 0 1.2113 472 27.352 0 2.415 473 28.104 0 2.5 474 27.579 0 2.0332 475 26.702 0 2.706 476 26.397 0 3.4231 477 26.974 0 2.6863 478 26.727 0 2.8657 479 26.31 0 1.8875 480 26 0 1.6147 481 25.735 0 0.99673 482 25.735 0 0 483 25.735 0 1.5225 484 25.978 0 2.4549 485 26.232 0 2.4968 486 26.568 0 1.2453 487 26.499 0 1.0052 488 25.608 0 2.4954 489 24.947 0 2.4562 490 24.494 0 2.0115 491 23.713 0 2.3567 492 23.1 0 1.9679 493 23.543 0 1.2906 494 23.896 0 1.582 495 23.967 0 1.99 496 24.464 0 1.1522 497 24.073 0 1.2342 498 23.561 0 0.91362 499 23.925 0 0.55681 500 23.604 0 0.94337 501 23.063 0 0.83064 502 23.407 0 0.66643 503 24.32 0 0.62691 504 24.437 0 1.6568 505 24.332 0 1.1687 506 23.763 0 1.1318 507 23.812 0 2.313 508 23.87 0 1.9673 509 23.271 0 1.3723 510 22.596 0 1.9254 511 22.199 0 1.7058 512 21.807 0 1.5958 513 21.352 0 1.1253 514 21.205 0 0.97777 515 21.492 0 0.38549 516 21.553 0 1.5905 517 21.629 0 2.049 518 22.365 0 2.3062 519 22.497 0 2.3009 520 22.655 0 2.5299 521 23.629 0 1.9356 522 24.064 0 2.7577 523 24.801 0 2.8342 524 25.2 0 3.1237 525 25.098 0 3.9623 526 24.888 0 3.5057 527 24.827 0 2.6884 528 25.192 0 1.8916 529 25.786 0 3.0062 530 26.574 0 1.7031 531 26.624 0 3.2882 532 27.182 0 3.3189 533 27.306 0 4.144 534 27.179 0 4.7355 535 27.67 0 3.18 536 27.395 0 3.4012 537 28.265 0 2.8077 538 28.523 0 3.4954 539 28.209 0 3.5244 540 28.679 0 3.2373 541 29.01 0 2.7392 542 29.096 0 2.2369 543 28.793 0 2.5437 544 28.865 0 2.7777 545 28.875 0 2.7256 546 28.758 0 3.116 547 28.959 0 2.974 548 29.13 0 1.9635 549 28.777 0 2.4318 550 28.689 0 2.1327 551 28.596 0 2.491 552 28.671 0 2.3599 553 28.434 0 2.9829 554 28.303 0 2.2399 555 28.334 0 0.59706 556 28.302 0 0.36918 557 27.765 0 2.4656 558 27.131 0 3.0216 559 27.236 0 3.3438 560 28.019 0 3.251 561 28.712 0 4.1729 562 29.354 0 4.2853 563 29.459 0 4.2921 564 29.216 0 3.0251 565 28.532 0 2.5776 566 27.84 0 2.7224 567 27.496 0 3.9668 568 27.068 0 3.9957 569 26.619 0 3.4065 570 26.572 0 2.5499 571 26.712 0 2.7234 572 26.931 0 3.78 573 27.492 0 2.303 574 27.536 0 4.2224 575 27.519 0 4.6611 576 27.158 0 4.567 577 26.807 0 3.5861 578 26.721 0 3.2093 579 26.253 0 3.2139 580 25.989 0 2.8122 581 26.204 0 2.7247 582 25.633 0 2.6241 583 26.178 0 2.9212 584 26.167 0 3.1521 585 25.588 0 2.6961 586 25.509 0 2.9929 587 25.809 0 2.3395 588 25.654 0 2.0639 589 25.357 0 2.8548 590 26.283 0 2.3947 591 26.962 0 2.2886 592 27.873 0 2.1852 593 28.111 0 2.77 594 28.289 0 3.2769 595 28.342 0 2.8774 596 28.254 0 1.5203 597 27.962 0 1.568 598 27.548 0 1.5474 599 27.835 0 1.6727 600 28.081 0 1.6928 601 28.298 0 1.7165 602 28.942 0 1.3653 603 29.721 0 1.041 604 29.942 0 2.0626 605 30.167 0 2.1361 606 30.361 0 2.6041 607 30.539 0 1.6106 608 30.674 0 2.241 609 30.564 0 2.4464 610 30.458 0 1.932 611 29.819 0 1.5675 612 29.066 0 1.5553 613 28.492 0 1.4749 614 27.371 0 1.9185 615 26.144 0 1.5148 616 24.781 0 1.1308 617 24.629 0 1.5818 618 23.766 0 2.1203 619 22.542 0 2.55 620 21.215 0 2.223 621 19.715 0 2.0447 622 18.206 0 1.8965 623 16.975 0 0.94412 624 16.377 0 1.0796 625 16.449 0 1.4884 626 17.533 0 1.5439 627 17.865 0 1.9482 628 17.703 0 3.4374 629 17.567 0 3.1654 630 17.262 0 2.5343 631 16.765 0 2.0326 632 16.306 0 2.0683 633 16.427 0 2.4295 634 16.726 0 2.426 635 16.999 0 2.8406 636 17.531 0 2.6406 637 18.049 0 1.5122 638 18.356 0 0.33163 639 17.615 0 1.5566 640 17.194 0 2.1669 641 16.806 0 1.8091 642 16.814 0 1.115 643 17.608 0 1.1677 644 18.505 0 0.78914 645 19.14 0 1.3735 646 19.395 0 1.2985 647 20.034 0 1.0336 648 19.961 0 1.4607 649 19.896 0 1.1598 650 19.621 0 2.6763 651 19.929 0 1.9587 652 19.997 0 2.2759 653 20.101 0 2.4095 654 20.611 0 1.6245 655 20.939 0 1.574 656 21.297 0 1.8628 657 21.588 0 1.3887 658 21.235 0 2.2085 659 21.594 0 1.6467 660 21.863 0 2.4638 661 22.225 0 2.9922 662 22.666 0 1.4947 663 22.753 0 0.42086 664 22.675 0 0.54129 665 22.511 0 1.1826 666 23.425 0 2.0042 667 23.59 0 4.3332 668 24.267 0 4.1975 669 24.899 0 2.7367 670 24.613 0 2.1732 671 23.89 0 2.2852 672 24.085 0 2.6612 673 24.257 0 2.1308 674 24.375 0 1.1514 675 24.117 0 0.93357 676 23.158 0 1.4719 677 22.914 0 1.0958 678 23.265 0 1.3158 679 22.346 0 3.7149 680 22.275 0 3.6694 681 22.68 0 2.532 682 22.535 0 3.9066 683 22.929 0 4.1797 684 23.258 0 3.603 685 23.313 0 3.0769 686 23.316 0 2.6502 687 23.036 0 1.4396 688 22.389 0 2.4416 689 22.368 0 2.8717 690 22.704 0 2.262 691 23.05 0 0.59838 692 22.901 0 1.0378 693 22.721 0 1.5919 694 22.317 0 2.5851 695 22.107 0 1.7787 696 21.812 0 1.3537 697 21.585 0 1.611 698 21.546 0 1.6094 699 21.491 0 1.7094 700 21.462 0 0.89627 701 20.977 0 1.3996 702 20.426 0 1.7876 703 19.606 0 2.1257 704 18.818 0 2.2241 705 18.411 0 2.7091 706 17.956 0 2.091 707 17.419 0 1.7902 708 16.818 0 2.0169 709 15.909 0 2.1029 710 15.312 0 1.7303 711 14.967 0 1.2452 712 13.746 0 1.8756 713 12.871 0 1.4284 714 12.637 0 1.6702 715 12.012 0 1.4396 716 11.125 0 1.8631 717 10.416 0 1.1373 718 9.5083 0 1.3028 719 9.2202 0 1.6018 720 8.4044 0 1.9093 721 7.613 0 1.934 722 7.2734 0 2.4622 723 7.2284 0 2.2166 724 7.1302 0 2.7081 725 7.3915 0 1.9081 726 7.393 0 1.607 727 7.1757 0 1.4205 728 7.2196 0 0.14877 729 7.1985 0 0.56458 730 6.8783 0 1.5418 731 6.4471 0 1.6106 732 5.7221 0 1.7933 733 4.6644 0 1.7406 734 3.0199 0 1.9617 735 2.3776 0 2.1039 736 1.649 0 2.331 737 1.3572 0 1.2602 738 1.3458 0 0.45248 739 1.3351 0 0.26356 740 1.2998 0 0.25428 741 1.264 0 0.25763 742 1.2507 0 0.10234 743 1.2236 0 0.17926 744 1.19 0 0.21213 745 1.0061 0 1.094 746 0.82095 0 1.1328 747 0.67515 0 0.84392 748 0.6456 0 0.19213 749 0.61388 0 0.20294 750 0.61388 0 0 751 0.60049 0 0.20158 752 0.61338 0 0 753 0.57923 0 0.2148 754 0.48551 0 0.54242 755 0.35994 0 0.67068 756 0.14753 0 1.0717 757 -1.4905e-14 0 0.68717