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 0.11612 8 0.015625 0 0.12595 9 0.032917 0 0 10 0.032917 0 0 11 0.032917 0 0.74724 12 0.17716 0 0.70773 13 0.32113 0 0.6056 14 0.44823 0 0.64636 15 0.57303 0 0.081191 16 0.58309 0 0.16282 17 0.60699 0 0.67301 18 0.73693 0 1.2005 19 0.9518 0 0.29395 20 0.99421 0 1.1351 21 1.3284 0 1.8274 22 2.2911 0 1.9387 23 3.1954 0 1.9687 24 4.0555 0 1.4586 25 4.4831 0 0.52141 26 4.573 0 1.1779 27 4.7581 0 0.31237 28 4.8051 0 0.084939 29 4.8157 0 0.4357 30 4.8708 0 0.69697 31 4.947 0 1.3282 32 4.801 0 2.2066 33 4.7233 0 2.0134 34 4.6985 0 1.4122 35 4.7921 0 0.77438 36 4.8626 0 1.7912 37 5.0242 0 2.5383 38 5.2475 0 2.5695 39 5.4611 0 1.2727 40 5.3394 0 0.92915 41 5.3764 0 0.21641 42 5.4109 0 0.28527 43 5.4029 0 0.45759 44 5.4288 0 0.84278 45 5.4797 0 1.4446 46 5.4019 0 1.5367 47 5.1793 0 2.0088 48 5.1949 0 0.62063 49 5.0877 0 0.887 50 4.7478 0 2.3515 51 4.8034 0 1.8042 52 4.9015 0 2.1909 53 5.3162 0 2.0345 54 5.6935 0 1.7591 55 5.8528 0 1.3295 56 5.9707 0 0.89896 57 6.0062 0 0.94959 58 6.0816 0 0.28677 59 6.0991 0 0.74575 60 6.1916 0 0.88542 61 6.21 0 2.1127 62 6.33 0 2.5012 63 6.2814 0 2.3204 64 6.1035 0 2.5855 65 6.2114 0 2.2535 66 6.5363 0 2.3286 67 7.0812 0 2.0256 68 7.7648 0 2.1855 69 8.1815 0 2.5195 70 8.6324 0 2.2866 71 8.6144 0 2.2764 72 8.7594 0 1.7796 73 8.9072 0 1.4116 74 9.1567 0 1.7389 75 9.3555 0 1.6164 76 9.5617 0 0.98744 77 9.6655 0 1.3763 78 9.7482 0 1.6392 79 9.6698 0 1.9811 80 9.3547 0 2.2111 81 8.6883 0 3.2461 82 8.8978 0 3.1313 83 8.8115 0 2.2407 84 8.616 0 1.5994 85 8.2815 0 1.974 86 7.935 0 2.2053 87 7.8081 0 2.3269 88 8.377 0 1.9782 89 8.9048 0 0.67207 90 9.0341 0 1.1542 91 9.2222 0 2.2053 92 9.8972 0 2.1908 93 10.699 0 1.9452 94 11.44 0 1.8532 95 12.149 0 1.601 96 12.789 0 1.9412 97 13.494 0 1.6142 98 13.931 0 2.3209 99 15.095 0 2.0494 100 16.015 0 2.1611 101 16.737 0 2.5395 102 17.274 0 2.7951 103 17.876 0 2.7716 104 18.462 0 2.4011 105 18.932 0 0.5781 106 18.853 0 1.6809 107 19.227 0 1.7421 108 19.525 0 2.3207 109 19.906 0 2.3398 110 20.195 0 2.7073 111 20.429 0 1.7609 112 20.03 0 2.1903 113 19.412 0 2.426 114 19.053 0 2.641 115 18.9 0 2.9452 116 18.99 0 2.2784 117 18.941 0 2.2229 118 18.76 0 2.7759 119 18.705 0 2.6232 120 19.143 0 2.6366 121 19.232 0 2.2797 122 19.178 0 2.2342 123 19.046 0 2.2743 124 18.776 0 2.4113 125 18.425 0 2.2714 126 18.486 0 2.0067 127 17.937 0 3.0968 128 17.526 0 3.5892 129 17.616 0 2.7438 130 17.48 0 2.4731 131 17.004 0 2.3224 132 16.44 0 2.0829 133 15.739 0 1.9235 134 14.997 0 2.5124 135 14.328 0 3.0761 136 14.163 0 3.1419 137 13.903 0 3.1856 138 13.945 0 1.6545 139 13.624 0 1.9014 140 13.089 0 1.8896 141 12.21 0 1.9853 142 11.348 0 2.7043 143 10.853 0 2.4252 144 10.287 0 2.742 145 9.8468 0 2.7917 146 9.2992 0 2.8727 147 8.3171 0 3.0489 148 7.3427 0 2.9743 149 6.6672 0 2.4994 150 5.9233 0 2.507 151 5.2563 0 2.6174 152 5.2597 0 1.6639 153 5.7784 0 1.3377 154 6.311 0 1.465 155 6.791 0 1.6428 156 6.4584 0 1.9526 157 7.245 0 2.1214 158 8.558 0 1.7989 159 9.758 0 1.8104 160 10.877 0 1.5954 161 11.831 0 1.8079 162 12.329 0 1.9072 163 12.481 0 1.9317 164 12.653 0 1.7983 165 12.284 0 2.2127 166 11.527 0 1.5377 167 10.548 0 1.2438 168 9.7201 0 0.84628 169 8.8945 0 0.71609 170 9.0645 0 0.59993 171 9.2105 0 0.48463 172 8.4708 0 1.1119 173 7.8533 0 1.6004 174 7.5616 0 1.5677 175 7.615 0 1.7081 176 7.7149 0 0.54976 177 7.7284 0 0.40435 178 7.7384 0 0.87693 179 8.55 0 0.78698 180 9.4441 0 1.0799 181 10.299 0 1.3259 182 11.085 0 0.95991 183 11.956 0 1.149 184 12.765 0 1.5747 185 13.164 0 0.70593 186 13.109 0 0.39006 187 13.049 0 0.55803 188 13.003 0 0.87292 189 12.557 0 1.6277 190 12.554 0 0.88419 191 11.846 0 1.1323 192 11.146 0 0.94648 193 10.456 0 0.55433 194 9.5944 0 0.43608 195 8.7213 0 0.54887 196 7.9147 0 0.70856 197 7.9147 0 0 198 7.9147 0 0 199 7.9147 0 0.65957 200 8.0651 0 0.93208 201 7.7991 0 2.287 202 7.5275 0 2.0017 203 7.4012 0 1.2305 204 7.323 0 0.69257 205 6.918 0 1.5111 206 7.2627 0 1.4882 207 7.904 0 0.92882 208 8.7607 0 0.62933 209 9.5246 0 1.1722 210 10.184 0 1.5378 211 10.891 0 1.0332 212 11.4 0 1.9061 213 11.055 0 1.8232 214 10.87 0 1.2935 215 10.817 0 0.93586 216 10.672 0 1.1814 217 10.464 0 1.028 218 10.085 0 1.0594 219 10.623 0 1.2452 220 11.459 0 0.63506 221 12.258 0 0.76359 222 13.061 0 1.3033 223 13.57 0 0.7757 224 13.295 0 0.95648 225 12.545 0 0.95382 226 11.828 0 1.0729 227 10.83 0 0.40508 228 9.7933 0 0.37113 229 8.7574 0 0.3048 230 7.714 0 0.32355 231 7.714 0 0 232 7.714 0 0 233 7.714 0 0 234 7.714 0 0.12473 235 7.7093 0 0.2698 236 7.694 0 0.52847 237 6.8006 0 0.74811 238 5.877 0 0.47994 239 4.9875 0 0.76046 240 4.167 0 0.78198 241 3.3534 0 0.7767 242 2.5509 0 0.75808 243 1.9033 0 0.84969 244 2.0659 0 0.90411 245 1.9753 0 2.0134 246 2.294 0 1.6727 247 2.727 0 1.4111 248 3.6722 0 1.0478 249 4.6259 0 1.1519 250 5.5507 0 1.2873 251 6.4782 0 1.0523 252 6.8207 0 1.0476 253 7.1003 0 1.4404 254 7.3926 0 2.5221 255 7.5247 0 2.3734 256 7.7034 0 2.1889 257 7.8098 0 1.4406 258 7.4116 0 1.7479 259 7.1465 0 1.4114 260 6.7543 0 0.99978 261 6.4063 0 1.1313 262 6.0508 0 1.8505 263 6.082 0 2.0537 264 6.238 0 0.92915 265 5.8555 0 2.7334 266 6.4728 0 2.2192 267 7.2318 0 0.91332 268 7.767 0 1.3949 269 8.7179 0 1.3943 270 9.6605 0 1.3133 271 10.529 0 1.3614 272 11.361 0 1.4008 273 12.422 0 1.0372 274 13.073 0 1.422 275 13.41 0 1.0464 276 13.647 0 1.365 277 13.774 0 1.8561 278 13.793 0 1.8402 279 13.813 0 1.5823 280 14.129 0 1.5556 281 14.541 0 1.1404 282 14.863 0 1.4275 283 14.992 0 1.2655 284 14.818 0 1.7889 285 15.127 0 1.1669 286 15.437 0 0.96209 287 15.019 0 1.0052 288 14.305 0 1.1096 289 13.566 0 1.1353 290 12.798 0 1.0048 291 11.996 0 0.85605 292 11.17 0 0.79806 293 10.334 0 0.74568 294 9.9981 0 1.3415 295 9.3924 0 1.5821 296 8.7737 0 1.5188 297 8.5188 0 1.027 298 8.284 0 1.0148 299 8.1686 0 0.58588 300 8.0516 0 0.57083 301 7.9421 0 0.49839 302 7.8082 0 0.63837 303 7.6873 0 0.77039 304 7.6417 0 0.60694 305 7.614 0 0.47257 306 7.3273 0 1.0889 307 6.9978 0 1.5364 308 6.862 0 1.6667 309 7.0937 0 1.3812 310 7.0437 0 1.4934 311 6.736 0 1.7955 312 6.5467 0 2.0613 313 6.4249 0 1.7838 314 6.6436 0 1.1841 315 6.6274 0 1.6849 316 6.4636 0 2.1067 317 6.3509 0 1.2995 318 6.4016 0 0.92585 319 6.4876 0 0.56069 320 6.539 0 0.87116 321 6.9725 0 0.8105 322 7.5066 0 0.79251 323 8.0238 0 0.58374 324 8.4353 0 0.82702 325 8.8601 0 0.84631 326 9.3389 0 1.032 327 8.9143 0 1.079 328 8.6671 0 1.0015 329 8.2622 0 1.4557 330 8.2839 0 0.66077 331 8.3283 0 0.14475 332 8.3105 0 0.12888 333 8.3105 0 0 334 8.267 0 0.25818 335 8.1714 0 0.76946 336 8.2003 0 0.2116 337 8.2338 0 1.5268 338 8.5474 0 1.4822 339 7.937 0 1.2027 340 7.1433 0 1.5521 341 6.735 0 1.828 342 7.5094 0 1.6964 343 7.8953 0 1.2382 344 7.9283 0 2.2779 345 8.7748 0 2.3502 346 9.2705 0 1.7494 347 9.5432 0 1.3926 348 9.931 0 1.4946 349 10.161 0 1.879 350 10.311 0 2.3643 351 10.701 0 3.8791 352 11.119 0 3.3038 353 11.489 0 2.144 354 11.6 0 0.58648 355 11.718 0 1.4993 356 12.21 0 1.3398 357 12.667 0 1.5303 358 13.15 0 1.4955 359 13.592 0 0.31444 360 13.452 0 0.85733 361 13.311 0 1.0363 362 13.226 0 1.0077 363 13.302 0 0.21669 364 13.331 0 0.089978 365 13.316 0 0.86524 366 13.506 0 0.72708 367 13.614 0 1.0951 368 13.662 0 0.85633 369 13.583 0 0.77455 370 13.416 0 0.99566 371 13.202 0 1.0879 372 13.114 0 0.46513 373 13.114 0 0.12672 374 12.536 0 2.7858 375 12.11 0 2.7398 376 11.687 0 2.4885 377 11.465 0 1.9634 378 11.605 0 1.0412 379 11.987 0 1.0727 380 12.363 0 1.0324 381 12.177 0 1.2241 382 11.664 0 1.3126 383 11.185 0 1.5717 384 11.108 0 0.86879 385 11.619 0 1.1977 386 12.074 0 1.1611 387 12.904 0 0.81905 388 13.625 0 0.86541 389 14.19 0 1.425 390 14.046 0 0.75 391 13.808 0 1.3299 392 13.597 0 1.3148 393 13.631 0 0.94752 394 13.5 0 1.6649 395 13.172 0 1.9394 396 12.825 0 2.0511 397 11.697 0 1.3717 398 10.518 0 1.1467 399 9.2815 0 0.64498 400 8.365 0 0.41466 401 7.4267 0 0.49224 402 7.3397 0 1.2577 403 7.1679 0 1.6293 404 6.7844 0 2.1161 405 6.027 0 2.6167 406 5.4696 0 3.0198 407 4.9056 0 3.165 408 4.4172 0 1.9399 409 4.832 0 2.1339 410 4.8332 0 3.3702 411 5.1875 0 2.9586 412 5.3957 0 2.6558 413 5.3853 0 2.7762 414 5.5902 0 2.2197 415 5.8738 0 1.3691 416 6.0513 0 1.171 417 6.2749 0 0.85567 418 6.3735 0 0.67554 419 6.3899 0 0.3463 420 6.3614 0 1.3001 421 6.6098 0 1.2873 422 6.8703 0 1.5147 423 7.1913 0 1.0334 424 7.4014 0 0.887 425 7.542 0 0.41388 426 7.5098 0 0.69396 427 7.5686 0 0.1658 428 7.331 0 2.0878 429 7.2336 0 2.2992 430 7.1581 0 2.4564 431 7.8464 0 0.78962 432 8.6417 0 0.38816 433 9.496 0 0.54015 434 10.387 0 0.82618 435 11.353 0 1.1161 436 12.417 0 1.462 437 13.213 0 1.8346 438 13.35 0 1.2957 439 13.313 0 0.91094 440 13.321 0 1.224 441 13.957 0 1.5943 442 14.611 0 1.0794 443 15.346 0 1.3921 444 15.779 0 2.0712 445 16.269 0 1.3644 446 16.023 0 1.0498 447 16.023 0 0.63874 448 16.862 0 0.43799 449 17.708 0 0.58538 450 18.517 0 0.72657 451 19.299 0 0.81767 452 20.062 0 0.98322 453 20.647 0 1.4014 454 21.17 0 1.521 455 20.883 0 1.437 456 20.591 0 1.2161 457 21.095 0 1.4701 458 21.049 0 1.7604 459 20.825 0 1.2673 460 19.847 0 1.1871 461 18.725 0 1.6156 462 17.864 0 1.1118 463 16.944 0 1.8128 464 16.592 0 1.5836 465 16.945 0 2.2063 466 17.251 0 2.4127 467 17.562 0 1.5561 468 16.728 0 2.0051 469 16.762 0 1.5305 470 16.384 0 2.9252 471 17.332 0 1.3361 472 16.731 0 2.0283 473 16.764 0 2.4229 474 17.834 0 1.4636 475 18.858 0 0.99983 476 19.365 0 0 477 18.703 0 0.92263 478 17.892 0 0.69958 479 16.999 0 0.97533 480 16.325 0 1.6112 481 16.279 0 1.1008 482 15.883 0 1.4122 483 17.503 0 1.7484 484 18.567 0 1.7035 485 19.591 0 1.2516 486 19.871 0 1.5721 487 20.886 0 1.5083 488 22.056 0 1.1817 489 23.171 0 1.2793 490 24.264 0 1.0911 491 25.238 0 1.011 492 25.554 0 0 493 25.554 0 0.37168 494 25.514 0 1.6046 495 25.578 0 2.5068 496 25.29 0 2.6015 497 25.015 0 2.478 498 24.817 0 1.8125 499 24.402 0 1.5236 500 24.383 0 0.4669 501 24.33 0 0.52206 502 24.34 0 0.57685 503 24.084 0 1.9737 504 23.935 0 1.8579 505 24.291 0 1.9016 506 24.523 0 2.1978 507 24.856 0 2.0975 508 25.034 0 1.8115 509 24.702 0 1.9044 510 23.984 0 2.0537 511 23.448 0 2.7589 512 24.519 0 2.1851 513 24.721 0 2.8462 514 24.815 0 2.0901 515 24.486 0 2.2382 516 24.007 0 2.015 517 23.54 0 2.4553 518 23.148 0 1.8761 519 23.512 0 1.8134 520 24 0 1.461 521 23.612 0 2.6801 522 22.801 0 2.2845 523 21.512 0 2.5594 524 20.423 0 2.5735 525 21.083 0 1.7483 526 21.305 0 1.457 527 21.349 0 1.4873 528 21.301 0 1.0459 529 21.22 0 1.5717 530 21.6 0 1.8417 531 22.11 0 1.6746 532 22.463 0 1.766 533 22.876 0 1.8457 534 23.209 0 1.7688 535 23.249 0 1.9843 536 23.039 0 2.2389 537 22.964 0 1.4137 538 22.857 0 0.97619 539 22.2 0 0.92744 540 21.417 0 1.0007 541 20.649 0 1.0916 542 20.008 0 0.80918 543 19.017 0 0.41002 544 19.369 0 0.94817 545 19.028 0 1.2639 546 19.236 0 1.3241 547 19.446 0 1.3073 548 19.69 0 1.6456 549 20.452 0 1.6063 550 20.634 0 1.6815 551 20.975 0 2.0281 552 21.122 0 1.9532 553 21.146 0 2.1921 554 21.718 0 2.0101 555 22.087 0 2.4511 556 22.038 0 2.3877 557 21.923 0 1.6738 558 21.388 0 2.1116 559 21.264 0 2.4017 560 21.338 0 2.0552 561 21.409 0 1.0813 562 21.246 0 1.9149 563 20.705 0 2.3102 564 19.808 0 2.0305 565 18.627 0 2.1539 566 17.627 0 1.0749 567 16.713 0 1.9898 568 15.988 0 1.6045 569 15.189 0 1.5738 570 15.103 0 1.5828 571 14.823 0 1.6197 572 14.128 0 2.314 573 14.138 0 1.5626 574 14.026 0 1.7842 575 14.065 0 0.73227 576 13.54 0 2.4045 577 12.469 0 2.0415 578 11.056 0 1.7916 579 10.423 0 1.5147 580 9.8537 0 1.0497 581 8.9923 0 1.2548 582 8.0852 0 1.0461 583 7.1382 0 1.2021 584 6.4008 0 1.4791 585 5.6028 0 2.5998 586 4.8044 0 2.4301 587 4.9422 0 2.1618 588 4.6984 0 2.9103 589 4.8815 0 1.603 590 4.9132 0 1.1655 591 4.6704 0 1.6602 592 4.4714 0 1.2561 593 4.2015 0 1.3961 594 4.0168 0 1.6035 595 3.9536 0 1.1425 596 3.9207 0 1.7765 597 4.1664 0 2.1306 598 4.5423 0 1.7452 599 4.9133 0 1.0159 600 5.0172 0 0.68567 601 5.0676 0 0.40223 602 5.05 0 1.8099 603 5.4125 0 2.0569 604 5.8736 0 1.497 605 5.8856 0 2.0907 606 6.419 0 1.3963 607 6.5774 0 2.3112 608 6.5227 0 1.787 609 6.3796 0 1.8864 610 6.7759 0 2.0104 611 7.1626 0 1.8983 612 7.4377 0 2.0992 613 7.3503 0 2.1373 614 7.2799 0 2.0736 615 7.1171 0 2.6427 616 6.8933 0 2.0329 617 6.2638 0 2.1429 618 5.4785 0 2.1473 619 5.3925 0 0.54778 620 5.0028 0 1.3043 621 4.5062 0 1.4463 622 4.0216 0 1.564 623 3.4659 0 1.3278 624 2.8186 0 1.4857 625 2.1488 0 1.2435 626 1.9431 0 1.0083 627 1.7426 0 0.87373 628 0.88473 0 1.5013 629 0.01428 0 1.3535 630 1.0209e-14 0 0.10799 631 1.0209e-14 0 0 632 1.0209e-14 0 0