1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0.16497 6 0.024305 0 0.11004 7 0.038922 0 0 8 0.038922 0 0 9 0.038922 0 0.19634 10 0.064465 0 0.65758 11 0.19388 0 0.67658 12 0.33116 0 0.51714 13 0.42316 0 1.1419 14 1.1338 0 0.59681 15 2.0392 0 0.45332 16 2.9907 0 0.81676 17 4.211 0 0.68859 18 5.2045 0 0.96256 19 6.084 0 1.2362 20 6.8592 0 0.25892 21 6.8787 0 1.5685 22 7.6243 0 1.7604 23 8.3976 0 1.541 24 9.081 0 1.5801 25 9.6862 0 0.88182 26 9.8642 0 1.8052 27 10.465 0 2.0226 28 11.1 0 1.9738 29 11.636 0 1.947 30 11.967 0 2.1224 31 12.847 0 1.9795 32 13.603 0 1.7785 33 14.497 0 1.5072 34 15.436 0 2.0292 35 16.592 0 1.43 36 16.997 0 0.2932 37 16.941 0 1.338 38 17.095 0 1.3113 39 17.167 0 1.5888 40 17.269 0 0.7855 41 18.088 0 0.83883 42 18.863 0 1.0425 43 19.726 0 1.0805 44 20.172 0 1.3665 45 20.491 0 1.6594 46 20.569 0 1.869 47 21.121 0 2.1716 48 21.568 0 1.9671 49 21.452 0 1.7986 50 21.672 0 1.8339 51 21.931 0 1.7646 52 22.146 0 1.4007 53 22.174 0 1.5184 54 22.682 0 1.6818 55 22.69 0 1.5727 56 22.148 0 1.2198 57 21.96 0 1.4587 58 21.889 0 1.5109 59 22.464 0 1.5571 60 22.329 0 1.4207 61 22.067 0 1.369 62 21.574 0 0.8862 63 20.63 0 0.75338 64 19.725 0 0.47603 65 18.475 0 1.1064 66 17.229 0 1.2033 67 16.553 0 1.6012 68 15.908 0 2.0465 69 15.444 0 1.7088 70 15.005 0 1.7478 71 14.897 0 1.3341 72 14.717 0 1.976 73 14.709 0 1.4063 74 14.273 0 1.9392 75 13.696 0 2.519 76 13.341 0 3.0182 77 13.085 0 2.7203 78 12.806 0 2.5549 79 12.843 0 1.3717 80 12.398 0 1.6193 81 11.891 0 1.9515 82 11.327 0 2.0419 83 10.664 0 1.6229 84 9.8608 0 1.5561 85 8.7988 0 1.7953 86 8.332 0 1.8886 87 9.1538 0 2.067 88 9.9831 0 1.771 89 10.496 0 1.8664 90 10.777 0 1.819 91 10.246 0 1.681 92 9.2047 0 1.8058 93 8.4259 0 2.2541 94 8.5115 0 1.9391 95 8.8319 0 1.518 96 9.1463 0 2.0613 97 9.7068 0 2.3425 98 10.348 0 2.5168 99 11.05 0 2.5221 100 11.742 0 2.1673 101 12.198 0 1.375 102 12.458 0 1.5086 103 12.707 0 1.8393 104 12.784 0 1.7197 105 12.572 0 1.7676 106 12.34 0 1.8691 107 11.971 0 2.5463 108 11.515 0 2.4883 109 11.245 0 2.1082 110 10.986 0 2.0919 111 10.475 0 2.6018 112 9.9136 0 2.2459 113 9.5251 0 2.4947 114 9.2196 0 3.3527 115 8.9536 0 3.0329 116 8.5848 0 1.9508 117 7.8879 0 1.948 118 7.319 0 1.5526 119 6.7939 0 1.9026 120 6.7695 0 1.4413 121 7.6462 0 2.5446 122 8.3975 0 3.0837 123 9.1999 0 2.4659 124 9.9604 0 1.3639 125 9.8276 0 1.429 126 9.9113 0 1.247 127 10.13 0 2.0657 128 10.332 0 1.4539 129 10.182 0 1.9732 130 10.447 0 1.8081 131 10.589 0 2.6732 132 10.937 0 2.4261 133 11.403 0 2.0307 134 12.044 0 1.727 135 12.661 0 2.1285 136 13.38 0 2.2653 137 14.166 0 1.7993 138 14.751 0 2.6656 139 15.58 0 2.7128 140 15.922 0 2.743 141 16.246 0 2.3402 142 16.634 0 2.3473 143 17.248 0 1.4447 144 17.519 0 1.1341 145 17.775 0 1.2834 146 17.943 0 1.7755 147 18.035 0 1.8879 148 17.75 0 3.6245 149 18.074 0 2.8286 150 18.291 0 3.5204 151 18.498 0 3.0492 152 18.856 0 2.9821 153 18.717 0 2.185 154 18.054 0 2.2903 155 17.456 0 2.8669 156 17.592 0 2.3451 157 17.61 0 1.9337 158 17.532 0 2.1177 159 17.988 0 2.1279 160 17.938 0 2.7022 161 17.742 0 2.8677 162 17.8 0 2.6512 163 18.343 0 3.6246 164 18.507 0 3.2149 165 18.653 0 2.5326 166 18.069 0 2.7301 167 17.679 0 3.441 168 17.904 0 2.3609 169 18.384 0 2.3596 170 18.019 0 2.6968 171 17.785 0 1.9847 172 17.306 0 2.1239 173 17.265 0 2.0241 174 17.906 0 2.0632 175 18.423 0 2.0395 176 19.037 0 1.7937 177 19.494 0 0.73018 178 19.054 0 2.0843 179 18.66 0 1.7889 180 17.913 0 2.1531 181 17.555 0 2.189 182 17.522 0 2.6825 183 17.551 0 1.9679 184 17.46 0 2.1043 185 16.791 0 2.7858 186 16.492 0 2.8747 187 16.971 0 1.8144 188 17.164 0 1.5376 189 16.879 0 1.7 190 16.867 0 0.30081 191 16.758 0 0.82362 192 16.587 0 1.3731 193 16.392 0 1.7819 194 16.281 0 1.1227 195 15.958 0 1.4551 196 15.582 0 1.3746 197 15.174 0 1.4314 198 14.746 0 1.6609 199 14.109 0 2.1196 200 13.675 0 1.589 201 13.568 0 0.76413 202 13.387 0 1.0574 203 12.789 0 1.7314 204 12.156 0 1.7379 205 11.545 0 1.8673 206 11.568 0 0.1683 207 11.506 0 0.64992 208 11.279 0 1.1945 209 11.019 0 1.321 210 10.236 0 2.3194 211 9.485 0 2.5383 212 8.974 0 2.2243 213 8.56 0 1.6321 214 8.0958 0 2.0605 215 8.2285 0 2.707 216 8.536 0 2.9518 217 8.7363 0 2.5624 218 8.1751 0 3.1868 219 7.8888 0 2.7895 220 8.2677 0 1.6209 221 8.1941 0 2.2296 222 7.8288 0 2.6412 223 7.4598 0 2.4978 224 8.2883 0 2.5308 225 8.9941 0 2.3871 226 10.002 0 2.2989 227 10.505 0 2.365 228 10.53 0 2.0012 229 10.491 0 1.7472 230 10.781 0 1.4279 231 11.551 0 1.2555 232 11.7 0 0.30031 233 11.7 0 1.0946 234 12.431 0 1.2941 235 13.001 0 1.7373 236 13.358 0 1.8372 237 13.549 0 2.9295 238 14.278 0 1.9118 239 14.955 0 1.8161 240 15.283 0 1.8386 241 15.433 0 1.9555 242 16.325 0 2.6268 243 17.508 0 1.9023 244 18.344 0 1.2925 245 18.862 0 1.8774 246 19.717 0 1.5283 247 20.905 0 2.5131 248 21.74 0 3.7644 249 22.534 0 2.5535 250 23.307 0 2.4987 251 23.728 0 2.5503 252 23.503 0 2.26 253 23.81 0 2.8573 254 24.409 0 2.4565 255 24.927 0 1.918 256 25.116 0 0.70039 257 25.251 0 0.59286 258 25.358 0 0.17807 259 24.824 0 1.303 260 24.232 0 1.3762 261 23.795 0 1.3424 262 23.93 0 1.7154 263 24.09 0 1.6294 264 23.986 0 1.3348 265 23.768 0 1.3043 266 24.363 0 1.0033 267 24.985 0 1.1193 268 25.257 0 1.0057 269 25.509 0 0.92274 270 25.726 0 1.0262 271 26.374 0 1.2452 272 26.509 0 1.3819 273 25.975 0 0.6339 274 26.306 0 1.4121 275 26.217 0 1.3136 276 25.89 0 1.4455 277 24.719 0 1.8599 278 23.67 0 1.5638 279 22.671 0 2.0494 280 21.472 0 1.7419 281 20.19 0 1.7604 282 18.862 0 1.9536 283 17.741 0 1.087 284 16.999 0 1.1157 285 16.183 0 1.0952 286 16.656 0 1.5404 287 17.005 0 2.7301 288 17.607 0 2.7347 289 18.302 0 1.5613 290 18.452 0 2.1095 291 18.404 0 2.0719 292 18.802 0 1.4782 293 19.103 0 1.7095 294 19.329 0 2.2026 295 19.961 0 2.7313 296 20.467 0 2.4159 297 20.921 0 1.9264 298 21.25 0 2.1876 299 21.439 0 2.72 300 21.788 0 1.4608 301 21.654 0 2.0793 302 21.389 0 2.4451 303 21.48 0 2.1272 304 21.5 0 2.7785 305 21.657 0 2.0498 306 21.541 0 2.9244 307 20.822 0 2.7459 308 20.488 0 2.4367 309 19.866 0 1.8385 310 19.337 0 1.9046 311 18.886 0 2.416 312 19.626 0 2.0181 313 20.453 0 1.6048 314 21.235 0 0.36133 315 21.268 0 0.59 316 21.364 0 0.17807 317 21.249 0 1.1911 318 21.2 0 2.1501 319 20.809 0 2.7328 320 20.348 0 2.8501 321 19.832 0 1.3624 322 19.742 0 2.006 323 19.209 0 2.0125 324 18.658 0 1.9488 325 18.171 0 1.6148 326 17.394 0 1.3262 327 16.475 0 1.8059 328 16.223 0 2.3333 329 16.047 0 3.0823 330 16.293 0 2.8834 331 16.479 0 2.243 332 16.258 0 1.7031 333 15.695 0 1.9944 334 15.362 0 1.4563 335 14.535 0 2.029 336 13.654 0 1.9413 337 12.71 0 1.7439 338 11.832 0 2.5236 339 12.126 0 2.3266 340 11.864 0 2.1814 341 10.508 0 4.1227 342 9.6754 0 3.8397 343 9.5895 0 3.7247 344 9.2446 0 3.8667 345 10.192 0 1.4893 346 10.939 0 1.875 347 11.68 0 1.7313 348 12.332 0 2.1481 349 12.07 0 2.3726 350 12.69 0 1.4847 351 13.217 0 1.3301 352 13.83 0 0 353 13.83 0 1.0642 354 14.566 0 0.92111 355 15.312 0 0.86055 356 16.005 0 1.0864 357 16.674 0 0.24491 358 16.632 0 0.41006 359 16.608 0 0.47991 360 16.536 0 1.5262 361 16.01 0 1.9953 362 15.812 0 1.2782 363 15.276 0 1.3992 364 14.867 0 1.2975 365 15.506 0 1.448 366 16.217 0 1.514 367 16.251 0 1.4247 368 16.186 0 1.9105 369 16.171 0 2.4908 370 16.869 0 2.5764 371 16.721 0 2.1866 372 16.364 0 1.886 373 16.107 0 1.5683 374 16.232 0 2.1397 375 16.563 0 0.30064 376 16.607 0 0.37963 377 16.681 0 0.99428 378 16.89 0 1.4625 379 17.57 0 1.882 380 18.148 0 2.0604 381 18.627 0 2.6453 382 19.718 0 2.4387 383 20.787 0 1.5605 384 21.036 0 1.6797 385 21.448 0 1.8685 386 21.777 0 1.6182 387 22.049 0 2.0478 388 22.307 0 2.2471 389 22.717 0 1.8684 390 23.107 0 0.97721 391 22.709 0 2.243 392 22.276 0 2.8941 393 22.622 0 2.9221 394 22.507 0 3.0954 395 22.029 0 2.0782 396 22.207 0 1.2033 397 22.907 0 1.6045 398 23.253 0 2.0775 399 23.208 0 2.5796 400 22.839 0 2.5881 401 22.019 0 3.0442 402 21.274 0 3.0392 403 21.418 0 2.7062 404 21.406 0 2.0948 405 21.062 0 2.5963 406 21.322 0 2.3467 407 21.346 0 2.6168 408 21.354 0 2.4414 409 21.397 0 2.2453 410 21.872 0 1.0731 411 22.936 0 0.62147 412 23.564 0 1.4006 413 24.078 0 2.3257 414 24.65 0 2.127 415 25.03 0 2.057 416 24.948 0 2.2885 417 25.212 0 2.3034 418 25.374 0 2.1247 419 25.53 0 2.1494 420 25.618 0 2.0229 421 25.488 0 2.8532 422 25.545 0 3.2023 423 25.287 0 3.3571 424 25.655 0 1.7195 425 25.994 0 1.4085 426 26.124 0 1.9175 427 26.432 0 2.9177 428 27.097 0 2.0376 429 27.421 0 2.0518 430 27.105 0 1.8776 431 27.551 0 1.8588 432 27.393 0 3.4791 433 27.534 0 3.2805 434 27.279 0 2.6919 435 26.413 0 3.8441 436 26.445 0 3.1491 437 26.609 0 2.872 438 26.764 0 3.0956 439 26.222 0 3.8006 440 25.715 0 3.0319 441 24.965 0 2.8112 442 24.411 0 2.1141 443 23.425 0 2.4912 444 22.926 0 2.2067 445 22.359 0 1.8768 446 21.993 0 1.1869 447 21.613 0 1.3003 448 21.118 0 1.4738 449 20.267 0 2.3895 450 20.485 0 2.1984 451 20.092 0 2.4092 452 19.516 0 2.5872 453 19.061 0 2.0643 454 18.459 0 1.7043 455 17.849 0 1.576 456 17.079 0 1.4785 457 17.113 0 1.3635 458 17.136 0 0.62836 459 15.99 0 1.5866 460 14.55 0 1.685 461 12.668 0 1.8084 462 11.546 0 1.6907 463 11.273 0 1.3083 464 10.507 0 2.3565 465 10.022 0 2.4518 466 9.7479 0 2.7476 467 10.339 0 2.648 468 10.596 0 2.8809 469 10.634 0 1.8055 470 10.399 0 1.8507 471 11.074 0 1.4571 472 11.521 0 2.0408 473 11.814 0 1.5253 474 11.977 0 1.0693 475 12.172 0 1.3601 476 12.027 0 1.7167 477 11.58 0 1.3534 478 11.257 0 1.086 479 11.033 0 0.59314 480 11.355 0 0.97221 481 11.081 0 0.99237 482 11.696 0 0.98203 483 12.481 0 0.9961 484 12.614 0 1.4774 485 13.369 0 1.6885 486 13.912 0 2.6636 487 14.503 0 1.6894 488 14.057 0 2.28 489 14.285 0 2.1979 490 15.125 0 1.203 491 15.678 0 1.6473 492 16.394 0 1.5929 493 17.546 0 1.7092 494 18.26 0 1.8533 495 18.87 0 2.1404 496 19.871 0 2.1588 497 20.878 0 1.8122 498 21.264 0 1.6161 499 22.034 0 1.0451 500 22.573 0 1.9063 501 22.941 0 2.3208 502 23.64 0 2.5898 503 24.749 0 2.3106 504 25.022 0 1.7524 505 25.575 0 1.2664 506 26.06 0 1.4078 507 26.48 0 1.5832 508 26.876 0 1.7214 509 27.27 0 1.1992 510 26.726 0 1.3148 511 26.278 0 1.4491 512 25.832 0 1.8496 513 25.508 0 1.0007 514 24.999 0 1.6405 515 25.261 0 2.1979 516 25.2 0 2.0516 517 25.132 0 1.7255 518 25.511 0 1.1696 519 25.761 0 1.4882 520 26.084 0 2.4436 521 26.278 0 1.8675 522 26.053 0 1.4998 523 25.671 0 1.7067 524 25.335 0 1.6376 525 25.439 0 2.4388 526 25.479 0 3.0068 527 25.475 0 2.9815 528 25.535 0 1.5317 529 24.509 0 2.5064 530 23.587 0 1.9115 531 22.527 0 2.082 532 21.415 0 2.2092 533 20.209 0 2.3086 534 18.791 0 2.8065 535 18.558 0 2.9629 536 18.007 0 2.4898 537 17.372 0 1.823 538 17.371 0 2.035 539 17.911 0 2.1097 540 18.895 0 2.2537 541 20.328 0 2.5377 542 21.334 0 2.5722 543 22.395 0 2.9047 544 23.459 0 2.2701 545 24.163 0 2.6116 546 24.917 0 2.8063 547 25.819 0 1.7239 548 25.828 0 2.5306 549 26.916 0 1.8812 550 27.002 0 2.73 551 26.821 0 2.4805 552 26.163 0 3.1731 553 26.929 0 2.7075 554 27.36 0 2.6894 555 27.902 0 2.3459 556 28.442 0 1.8896 557 28.606 0 0.74796 558 28.516 0 0.65057 559 28.275 0 1.1739 560 27.73 0 2.6974 561 27.296 0 3.1139 562 27.647 0 2.2661 563 27.595 0 2.0368 564 27.223 0 1.4263 565 27.446 0 1.4378 566 27.817 0 1.6688 567 26.953 0 2.5076 568 26.887 0 2.7982 569 27.844 0 1.642 570 28.624 0 2.2345 571 28.719 0 1.725 572 28.617 0 0.94006 573 28.914 0 1.2696 574 29.266 0 1.3352 575 29.76 0 0.92149 576 30.246 0 0.73175 577 30.244 0 1.9625 578 30.098 0 2.4846 579 29.857 0 2.2327 580 29.519 0 2.114 581 29.11 0 3.117 582 29.791 0 1.7369 583 29.295 0 2.1543 584 28.227 0 2.0614 585 26.928 0 2.1945 586 26.571 0 1.9612 587 26.395 0 0.99784 588 26.031 0 0.92686 589 25.524 0 0.53836 590 24.672 0 0.92689 591 24.451 0 2.1962 592 24.724 0 2.0966 593 24.87 0 2.1087 594 24.887 0 2.2186 595 24.702 0 2.2739 596 24.321 0 2.4386 597 24.047 0 2.1227 598 24.252 0 2.0285 599 24.504 0 1.5839 600 24.271 0 1.8769 601 24.246 0 2.1791 602 25.175 0 1.6056 603 25.5 0 2.0674 604 25.57 0 1.4141 605 25.322 0 1.163 606 24.556 0 2.4492 607 24.073 0 2.6543 608 23.776 0 2.9959 609 23.218 0 2.2421 610 23.588 0 2.1006 611 24.239 0 1.7225 612 24.37 0 1.5911 613 24.404 0 1.6732 614 24.54 0 1.769 615 24.842 0 0.41977 616 24.128 0 1.1916 617 23.259 0 1.5206 618 22.572 0 1.3729 619 21.738 0 1.2696 620 20.666 0 1.3958 621 19.641 0 1.3191 622 18.697 0 2.1145 623 18.594 0 2.5607 624 19.094 0 1.8928 625 18.68 0 2.0023 626 18.42 0 1.1297 627 18.351 0 1.1628 628 18.932 0 1.6535 629 18.69 0 1.3119 630 18.655 0 1.2433 631 19.137 0 1.708 632 19.537 0 0.77003 633 19.469 0 0.97996 634 19.339 0 0.9705 635 19.119 0 1.0403 636 19.042 0 0.46507 637 18.973 0 0.49456 638 18.891 0 0.52055 639 18.136 0 1.7347 640 17.297 0 1.7548 641 16.378 0 1.6681 642 15.454 0 1.667 643 14.74 0 1.37 644 13.702 0 1.3694 645 12.932 0 1.6884 646 12.268 0 1.7614 647 11.39 0 1.7728 648 10.593 0 1.5851 649 9.8621 0 1.8502 650 8.9951 0 2.0768 651 8.2008 0 1.8642 652 7.7963 0 1.9444 653 7.8083 0 1.7305 654 7.9211 0 1.9461 655 8.009 0 1.6259 656 8.0128 0 1.7674 657 8.001 0 1.73 658 8.2383 0 1.2684 659 7.6932 0 2.412 660 8.0045 0 1.2515 661 8.1896 0 1.327 662 8.445 0 1.1779 663 9.2395 0 0.97731 664 9.8279 0 0 665 9.8102 0 0.12841 666 9.7869 0 0.27796 667 9.7884 0 0.1815 668 9.7901 0 0.16623 669 9.8003 0 0 670 9.2119 0 0.97731 671 8.4175 0 0.73296 672 7.5635 0 0.59984 673 6.6716 0 0.49418 674 6.0849 0 0.97817 675 5.7682 0 0.90068 676 5.0575 0 1.0159 677 4.2773 0 0.88073 678 3.4461 0 0.65496 679 2.5381 0 0.54202 680 1.6305 0 0.57916 681 0.72181 0 0.60348 682 0.11203 0 1.1325 683 0.080489 0 0.20207 684 0.024598 0 0.34919 685 0.012321 0 0.095534 686 1.2114e-14 0 0.095814 687 1.2114e-14 0 0