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 0.24109 8 0.033233 0 0 9 0.033233 0 0.13338 10 0.051811 0 0.52801 11 0.15011 0 0.3834 12 0.22486 0 0.85411 13 1.4345 0 1.1185 14 2.4758 0 1.7515 15 3.5668 0 2.1049 16 4.6168 0 2.3033 17 5.6104 0 0.68623 18 5.7272 0 1.4693 19 6.0077 0 1.9811 20 6.4907 0 0.7024 21 6.6812 0 0 22 6.6812 0 0.72733 23 7.5164 0 0.54074 24 8.4005 0 0.73305 25 9.322 0 0.9284 26 10.217 0 0.76295 27 10.349 0 1.4866 28 11.064 0 0.91056 29 11.963 0 0.98736 30 12.788 0 1.2561 31 13.716 0 1.3407 32 14.585 0 1.1532 33 15.355 0 1.048 34 16.051 0 1.1222 35 16.724 0 0.28183 36 16.652 0 1.9706 37 16.812 0 0.9319 38 16.792 0 1.1595 39 16.994 0 1.2076 40 17.187 0 1.4461 41 16.802 0 1.1543 42 16.515 0 1.0888 43 16.222 0 1.0142 44 15.905 0 1.127 45 15.583 0 0.87356 46 15.2 0 0.84584 47 14.669 0 1.7513 48 15.503 0 1.8539 49 15.512 0 1.8152 50 15.829 0 0.77544 51 16.023 0 0 52 16.023 0 0.9433 53 14.967 0 2.3506 54 14.112 0 0.93704 55 13.282 0 0.84112 56 12.309 0 2.4954 57 12.339 0 2.2212 58 12.195 0 2.0753 59 11.728 0 1.7044 60 11.14 0 1.6095 61 11.14 0 0.66542 62 10.572 0 3.4522 63 10.63 0 3.1139 64 11.022 0 1.5518 65 10.897 0 1.1514 66 10.408 0 1.3492 67 9.9436 0 1.1214 68 9.1485 0 1.6238 69 8.2228 0 1.4275 70 7.8003 0 1.0987 71 7.8003 0 0 72 7.4741 0 1.0508 73 6.9859 0 1.5991 74 6.4085 0 1.726 75 5.7519 0 1.7494 76 5.0749 0 1.2106 77 5.1244 0 0.23389 78 5.1626 0 0 79 5.1307 0 1.6506 80 5.5098 0 1.3939 81 5.7107 0 1.1033 82 5.8739 0 0 83 5.8615 0 0.18698 84 5.873 0 0.081989 85 5.8831 0 0.73816 86 6.0188 0 0.76038 87 6.1571 0 0.19508 88 6.153 0 1.8365 89 6.6139 0 2.3795 90 7.1668 0 2.4228 91 7.6016 0 1.9549 92 7.8153 0 1.4659 93 7.5124 0 2.9122 94 7.8544 0 3.0833 95 8.4703 0 1.7437 96 9.1414 0 0.34495 97 9.196 0 0.35769 98 9.1267 0 1.0267 99 9.0743 0 0.6339 100 8.9587 0 1.6401 101 9.1242 0 1.3686 102 9.0071 0 1.7436 103 8.8853 0 1.8805 104 8.3729 0 2.7689 105 8.0105 0 2.9025 106 7.9755 0 1.3866 107 8.2959 0 1.0505 108 8.5452 0 0.42846 109 8.5714 0 1.3473 110 8.8324 0 1.7444 111 9.204 0 0.59854 112 9.2474 0 1.9246 113 9.4331 0 3.3907 114 10.066 0 2.8971 115 11.189 0 2.1626 116 12.575 0 1.0595 117 13.851 0 1.1485 118 15.189 0 1.0932 119 16.491 0 1.2316 120 17.669 0 0.31282 121 17.669 0 0.42626 122 17.756 0 0.56316 123 17.843 0 0.86097 124 18.322 0 1.7014 125 18.914 0 1.6615 126 19.449 0 1.8974 127 19.992 0 1.5066 128 20.698 0 1.0655 129 21.139 0 1.3092 130 21.367 0 2.2654 131 20.773 0 2.5934 132 20.892 0 2.4428 133 21.414 0 2.3249 134 21.803 0 2.4954 135 21.679 0 1.9158 136 21.787 0 2.1096 137 22.483 0 2.0703 138 23.152 0 2.1437 139 23.842 0 2.0262 140 24.453 0 1.1402 141 24.707 0 0.10989 142 24.698 0 1.0672 143 25.422 0 1.9383 144 25.9 0 1.8129 145 25.771 0 2.0871 146 24.527 0 3.0663 147 23.02 0 3.8454 148 21.811 0 3.5369 149 20.993 0 2.5796 150 20.043 0 1.8032 151 18.859 0 2.5157 152 17.943 0 2.8447 153 17.987 0 3.234 154 17.423 0 4.1907 155 16.945 0 3.8593 156 16.535 0 2.2219 157 16.732 0 2.2277 158 16.236 0 2.1418 159 15.788 0 2.8774 160 15.411 0 2.4965 161 14.975 0 2.8734 162 15.847 0 1.267 163 17.07 0 1.9773 164 18.588 0 1.5538 165 18.692 0 1.9349 166 17.756 0 1.4363 167 16.904 0 1.4047 168 16.81 0 0.41364 169 16.636 0 0.53546 170 16.396 0 1.0905 171 17.237 0 0.75011 172 16.938 0 1.4937 173 17.751 0 0.89387 174 18.44 0 1.0077 175 19.109 0 0 176 19.109 0 0.55998 177 19.211 0 0.080926 178 18.526 0 1.2773 179 17.828 0 1.118 180 17.672 0 0.40106 181 17.916 0 0.4582 182 18.055 0 0.68832 183 18.094 0 0.95081 184 18.168 0 1.0364 185 18.926 0 0.93015 186 19.58 0 1.3423 187 20.438 0 1.0131 188 19.915 0 2.2122 189 19.775 0 2.0258 190 19.688 0 0.74694 191 19.343 0 1.8779 192 19.196 0 1.9724 193 19.014 0 1.6398 194 20.63 0 1.871 195 21.617 0 2.3627 196 22.641 0 1.7043 197 22.806 0 2.6108 198 23.554 0 2.2382 199 23.862 0 1.9865 200 24.929 0 0.84614 201 25.109 0 2.7646 202 25.602 0 2.8319 203 26.363 0 1.883 204 26.604 0 0.39276 205 26.546 0 0.37459 206 26.029 0 1.8272 207 26.476 0 1.4873 208 25.708 0 1.6745 209 25.599 0 1.5134 210 25.363 0 1.0675 211 24.906 0 1.1017 212 25.147 0 0 213 24.871 0 2.0239 214 25.079 0 1.17 215 24.514 0 3.0499 216 24.523 0 2.7772 217 24.289 0 3.0152 218 24.168 0 3.5325 219 23.954 0 2.7138 220 23.6 0 2.5163 221 23.973 0 0.23008 222 23.393 0 3.1824 223 23.168 0 2.8821 224 22.887 0 2.8367 225 22.568 0 3.245 226 22.326 0 2.3593 227 22.72 0 1.7042 228 23.035 0 1.9799 229 23.186 0 1.9818 230 23.359 0 4.4575 231 25.167 0 4.4197 232 26.044 0 3.8495 233 27.102 0 1.2406 234 27.455 0 0.88227 235 27.629 0 0.86441 236 27.708 0 0.60387 237 27.553 0 3.0212 238 28.204 0 3.0483 239 28.873 0 0 240 28.661 0 1.5226 241 28.52 0 2.9446 242 28.846 0 0.87026 243 28.881 0 1.1577 244 28.984 0 0.40063 245 28.639 0 2.2778 246 29.592 0 1.7629 247 29.866 0 2.1624 248 29.596 0 2.6456 249 29.114 0 2.367 250 27.995 0 2.5644 251 27.178 0 2.4579 252 26.672 0 3.1488 253 26.836 0 3.107 254 27.375 0 2.4413 255 27.551 0 3.1365 256 27.495 0 2.7184 257 27.237 0 2.9595 258 27.989 0 1.7127 259 28.072 0 1.8863 260 28.383 0 1.5487 261 28.365 0 1.1128 262 29.312 0 0.95973 263 29.432 0 1.0176 264 29.148 0 1.0967 265 28.285 0 2.2044 266 27.914 0 1.9022 267 27.791 0 1.2781 268 27.237 0 1.2995 269 26.251 0 1.0596 270 25.749 0 0.99999 271 25.034 0 0.96128 272 25.034 0 0.32327 273 23.983 0 2.3716 274 23.081 0 2.4768 275 22.121 0 2.189 276 21.394 0 1.4633 277 20.8 0 1.6247 278 20.423 0 1.7126 279 19.868 0 3.1406 280 19.388 0 2.8492 281 19.227 0 1.9984 282 18.675 0 1.9855 283 17.884 0 2.689 284 17.074 0 2.3431 285 16.413 0 1.8149 286 14.911 0 3.314 287 13.397 0 2.7392 288 11.837 0 2.0525 289 10.532 0 1.2167 290 9.7636 0 3.5502 291 9.4647 0 3.1853 292 9.3399 0 2.9609 293 9.3538 0 2.8684 294 9.3944 0 1.8151 295 9.0743 0 2.1511 296 9.0213 0 2.4339 297 9.2385 0 3.5859 298 9.6081 0 3.9457 299 9.6549 0 2.7133 300 10.257 0 1.7502 301 10.652 0 1.193 302 10.958 0 0.66051 303 10.921 0 1.3294 304 10.373 0 3.9213 305 11.092 0 3.5661 306 12.171 0 1.4795 307 11.239 0 4.8135 308 10.645 0 4.5679 309 10.779 0 2.8954 310 10.837 0 0.99282 311 11.751 0 0.83473 312 12.591 0 1.4324 313 13.692 0 1.9903 314 14.954 0 1.5727 315 15.891 0 1.2627 316 16.372 0 1.7193 317 17.043 0 1.2322 318 17.621 0 1.9927 319 18.546 0 2.0528 320 19.332 0 1.2392 321 19.656 0 1.5371 322 20.533 0 1.3706 323 20.61 0 1.8844 324 20.441 0 2.3447 325 20.456 0 2.1483 326 20.415 0 2.2404 327 20.728 0 0.88225 328 20.428 0 2.3465 329 20.345 0 2.766 330 20.791 0 2.9051 331 21.549 0 1.536 332 21.99 0 0.1061 333 22.004 0 0.52344 334 21.971 0 2.2239 335 22.565 0 2.2125 336 23.149 0 2.2403 337 23.995 0 2.4979 338 24.817 0 2.0312 339 25.636 0 1.9588 340 26.068 0 2.3822 341 27.213 0 2.7589 342 28.263 0 2.3812 343 28.809 0 3.0281 344 28.821 0 3.0401 345 28.789 0 2.7952 346 28.454 0 2.7157 347 28.084 0 2.9799 348 28.502 0 1.183 349 28.721 0 1.7027 350 28.409 0 2.0139 351 27.703 0 2.642 352 27.078 0 3.2756 353 26.745 0 2.6991 354 26.137 0 2.1669 355 25.515 0 2.1567 356 24.948 0 2.3856 357 23.767 0 2.3051 358 22.72 0 2.1589 359 21.773 0 2.64 360 21.101 0 2.8289 361 20.155 0 2.9131 362 19.099 0 3.3898 363 18.017 0 2.3612 364 16.752 0 2.0122 365 15.651 0 2.6401 366 14.842 0 3.0568 367 14.186 0 3.4794 368 14.588 0 2.2252 369 14.95 0 2.9736 370 14.875 0 2.9951 371 14.238 0 3.3697 372 14.313 0 3.0602 373 15.108 0 1.9456 374 15.649 0 2.1614 375 16.271 0 1.6974 376 16.716 0 2.2577 377 17.205 0 2.1439 378 17.473 0 2.2008 379 16.984 0 3.0823 380 17.179 0 2.2291 381 17.026 0 2.1778 382 16.648 0 2.8867 383 16.395 0 2.8695 384 16.156 0 3.0094 385 16.175 0 2.1179 386 16.654 0 1.8783 387 17.04 0 2.7903 388 17.349 0 3.3501 389 17.452 0 2.5935 390 17.262 0 2.1751 391 17.734 0 1.4696 392 18.61 0 1.5029 393 19.125 0 1.814 394 19.22 0 2.8822 395 19.426 0 3.4645 396 19.904 0 2.8115 397 20.365 0 2.8624 398 20.43 0 2.9424 399 20.399 0 2.8724 400 19.965 0 2.6518 401 19.292 0 2.9241 402 18.69 0 4.2154 403 18.63 0 4.2246 404 19.047 0 3.1725 405 18.923 0 2.8053 406 18.482 0 2.7794 407 17.634 0 3.4899 408 17.459 0 3.878 409 16.823 0 4.988 410 17.371 0 3.4945 411 17.778 0 2.2437 412 18.161 0 2.3718 413 18.71 0 1.973 414 19.269 0 0.64562 415 19.385 0 1.2601 416 19.702 0 1.8861 417 20.155 0 3.1624 418 20.696 0 3.3747 419 20.963 0 3.9562 420 21.731 0 3.0155 421 22.313 0 2.9992 422 22.937 0 2.7842 423 23.637 0 2.5243 424 24.211 0 2.5573 425 24.859 0 2.8784 426 25.506 0 2.9399 427 26.452 0 2.1276 428 27.038 0 1.1746 429 27.259 0 0.60091 430 27.122 0 1.4876 431 26.872 0 1.9312 432 26.868 0 1.771 433 26.852 0 1.641 434 26.839 0 1.9929 435 27.203 0 1.7566 436 27.261 0 2.5563 437 26.986 0 2.7913 438 26.304 0 3.1416 439 25.876 0 2.3173 440 25.119 0 2.9717 441 24.633 0 3.2749 442 24.731 0 2.421 443 24.654 0 3.0548 444 24.787 0 2.8452 445 24.951 0 2.4091 446 25.062 0 1.7128 447 24.363 0 4.0675 448 24.364 0 3.8807 449 24.491 0 3.8201 450 24.478 0 3.9382 451 24.189 0 3.3468 452 23.891 0 3.3992 453 23.509 0 3.5168 454 23.179 0 4.018 455 22.809 0 4.2034 456 22.279 0 2.912 457 21.349 0 2.2173 458 20.401 0 2.1412 459 20.786 0 2.0137 460 20.854 0 2.9638 461 20.908 0 2.6508 462 21.803 0 3.034 463 22.51 0 2.6749 464 22.637 0 2.366 465 22.505 0 2.9605 466 22.769 0 0.90691 467 22.46 0 1.9778 468 21.344 0 2.4295 469 19.892 0 2.4808 470 18.611 0 3.1744 471 17.912 0 2.1554 472 16.966 0 2.2989 473 16.784 0 1.9507 474 16.58 0 1.9568 475 16.267 0 1.6144 476 16.041 0 0.88229 477 15.804 0 1.7255 478 15.865 0 1.7462 479 15.481 0 2.3618 480 15.466 0 3.1433 481 15.546 0 2.4818 482 15.494 0 1.218 483 16.121 0 1.2439 484 16.667 0 1.5086 485 17.22 0 1.809 486 17.753 0 0.79915 487 17.62 0 0.90601 488 17.538 0 0.72647 489 17.465 0 0.61554 490 16.705 0 1.8919 491 16.122 0 2.0796 492 15.605 0 1.229 493 15.463 0 1.7394 494 16.081 0 2.7024 495 16.205 0 3.5941 496 16.339 0 3.0529 497 16.42 0 2.7982 498 16.995 0 1.8667 499 17.204 0 2.8776 500 18.151 0 2.2976 501 18.565 0 3.0283 502 18.869 0 2.6232 503 19.341 0 2.9454 504 19.787 0 1.9993 505 19.419 0 2.0433 506 19.555 0 1.2937 507 20.038 0 1.6254 508 20.451 0 1.609 509 20.71 0 1.3232 510 20.659 0 0.64105 511 20.61 0 0.79255 512 20.613 0 0.84695 513 19.965 0 1.8172 514 19.46 0 1.5193 515 18.868 0 1.8705 516 18.957 0 2.4885 517 19.044 0 1.4528 518 18.632 0 1.4922 519 18.931 0 1.5454 520 18.943 0 1.5286 521 18.914 0 1.6154 522 18.944 0 1.5711 523 19.418 0 1.3083 524 19.873 0 0.30817 525 19.489 0 2.0863 526 19.206 0 1.7685 527 18.857 0 1.7279 528 18.332 0 1.4254 529 17.396 0 0.54761 530 17.494 0 0.35631 531 17.536 0 0.16931 532 17.536 0 0 533 16.926 0 1.5467 534 16.114 0 1.8865 535 15.402 0 3.2545 536 15.439 0 3.2483 537 15.495 0 2.0599 538 15.896 0 0.15787 539 15.919 0 0 540 15.919 0 0 541 15.503 0 2.5874 542 16.127 0 3.3315 543 16.916 0 3.6291 544 18.119 0 2.9889 545 18.799 0 3.1639 546 19.099 0 2.6632 547 19.093 0 3.071 548 18.939 0 3.531 549 19.182 0 3.1759 550 20.106 0 2.0641 551 19.981 0 2.7403 552 20.018 0 3.0093 553 20.22 0 2.6711 554 20.608 0 2.5911 555 20.795 0 2.7579 556 20.367 0 2.9478 557 20.438 0 1.6073 558 21.063 0 1.0841 559 21.242 0 1.3971 560 21.399 0 1.6662 561 21.247 0 2.2797 562 20.994 0 2.5026 563 20.777 0 2.5569 564 20.772 0 2.3521 565 21.037 0 1.1958 566 20.83 0 1.9515 567 20.568 0 2.2923 568 20.395 0 2.2411 569 20.483 0 2.1418 570 20.685 0 1.6112 571 20.68 0 2.0252 572 20.769 0 2.1114 573 20.956 0 1.8812 574 21.186 0 1.8445 575 21.852 0 1.0717 576 22.033 0 1.2452 577 22.3 0 1.3712 578 22.956 0 1.0638 579 23.549 0 1.29 580 24.049 0 1.4015 581 24.059 0 1.6919 582 23.928 0 1.828 583 23.579 0 1.8116 584 23.258 0 1.6179 585 23.238 0 0.98207 586 22.788 0 0.61714 587 23.316 0 0.64041 588 23.866 0 1.3985 589 24.027 0 2.0175 590 23.975 0 2.3306 591 23.791 0 1.5661 592 23.027 0 1.5702 593 22.182 0 1.6918 594 21.45 0 1.5428 595 20.54 0 2.2077 596 20.497 0 3.045 597 20.946 0 2.3602 598 21.359 0 3.0165 599 21.29 0 3.4136 600 21.027 0 3.2779 601 20.871 0 3.8983 602 21.106 0 4.3465 603 21.542 0 3.3249 604 21.173 0 2.617 605 20.854 0 2.0651 606 20.317 0 1.9229 607 20.292 0 1.386 608 21.051 0 1.6517 609 21.901 0 1.1208 610 22.023 0 1.4914 611 22.721 0 1.1783 612 23.165 0 1.4817 613 23.801 0 1.202 614 24.364 0 1.0664 615 24.864 0 1.193 616 25.202 0 1.5876 617 25.711 0 0.59462 618 25.53 0 1.0525 619 25.335 0 1.1987 620 24.983 0 1.854 621 23.989 0 2.0047 622 23.099 0 1.4491 623 22.151 0 1.1839 624 21.333 0 1.1219 625 21.289 0 0.54308 626 20.46 0 0.71886 627 19.545 0 0.72986 628 18.601 0 0.57119 629 17.644 0 0.44251 630 16.687 0 0.25205 631 15.759 0 0.48902 632 15.736 0 0.16199 633 14.896 0 0.82128 634 14.02 0 0.81489 635 13.685 0 1.0706 636 13.533 0 0.61391 637 13.386 0 0.73884 638 13.345 0 0.31152 639 13.271 0 0.37963 640 12.527 0 1.548 641 11.637 0 1.2932 642 10.72 0 1.0322 643 9.724 0 0.90289 644 8.8131 0 0.73051 645 7.8434 0 0.5197 646 6.9304 0 0.85768 647 6.1991 0 1.1761 648 5.4512 0 1.5634 649 4.6237 0 1.4281 650 3.7185 0 1.2263 651 2.6284 0 0.38426 652 1.5053 0 0.39163 653 1.3507 0 0.62125 654 1.1682 0 0.68552 655 0.84819 0 1.1639 656 0.3684 0 1.3886 657 1.5432e-14 0 1.2961