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 0.12595 9 0.017292 0 0.8664 10 0.25099 0 0.81919 11 0.46357 0 0.68237 12 0.64462 0 1.1709 13 0.94211 0 0.60519 14 1.0903 0 0.64377 15 1.2228 0 0.38979 16 1.284 0 1.1784 17 2.1872 0 0.98817 18 3.3236 0 0.93684 19 4.3146 0 0.70459 20 4.4514 0 0.31842 21 4.5092 0 0.73775 22 5.3759 0 0.60494 23 6.3233 0 0.75926 24 7.2244 0 0.94148 25 8.0496 0 0.25768 26 8.0855 0 0 27 8.0855 0 0.081989 28 8.0956 0 0 29 8.0956 0 0 30 7.311 0 0.92096 31 6.5039 0 0.72447 32 5.6931 0 0.51527 33 4.9819 0 0.96104 34 5.2774 0 0.8941 35 5.5305 0 0.45127 36 4.6746 0 1.1733 37 4.2881 0 0.81615 38 4.0075 0 0.97798 39 4.3672 0 0.25467 40 4.3534 0 0.25549 41 4.3372 0 0.17739 42 4.1625 0 0.90166 43 4.0097 0 0.80147 44 3.6471 0 1.4457 45 3.2724 0 2.1775 46 3.2829 0 2.0023 47 3.5237 0 1.7898 48 3.6894 0 2.2563 49 4.7329 0 1.6131 50 5.6193 0 2.0197 51 6.4472 0 3.2507 52 7.5911 0 3.2435 53 8.8046 0 2.8117 54 10.209 0 1.2962 55 11.265 0 1.5608 56 11.75 0 0.48222 57 11.83 0 0.78695 58 11.851 0 1.2762 59 11.77 0 0.92644 60 12.32 0 0.85973 61 13.104 0 0.51121 62 13.951 0 1.0369 63 15.007 0 0.75287 64 16.006 0 0.92053 65 16.766 0 0.51187 66 16.769 0 0.24916 67 16.746 0 0.68145 68 16.825 0 0.61855 69 17.594 0 1.5037 70 18.407 0 1.3843 71 19.402 0 1.3146 72 20.102 0 1.8237 73 20.685 0 1.9827 74 21.253 0 1.4229 75 22.147 0 1.2523 76 22.923 0 0.56856 77 22.99 0 1.2705 78 23.416 0 1.5981 79 23.793 0 1.0175 80 23.589 0 1.8722 81 23.7 0 2.2819 82 23.047 0 3.4019 83 22.378 0 3.4244 84 22.424 0 2.4609 85 21.783 0 2.2634 86 21.404 0 1.0596 87 20.854 0 1.5523 88 19.957 0 1.3525 89 18.961 0 1.5005 90 18.254 0 1.33 91 17.621 0 0.4678 92 16.83 0 0.73916 93 15.956 0 0.54469 94 15.029 0 0.66832 95 14.181 0 1.1767 96 13.721 0 2.1105 97 13.484 0 2.1677 98 13.522 0 1.8193 99 13.401 0 1.6034 100 13.117 0 1.6271 101 12.691 0 2.1945 102 12.483 0 3.2361 103 13.081 0 2.0374 104 12.802 0 2.6275 105 13.63 0 2.3262 106 14.288 0 1.6069 107 14.697 0 1.9589 108 15.579 0 1.573 109 16.483 0 1.1012 110 16.618 0 0.97724 111 16.623 0 1.6753 112 16.603 0 1.5148 113 16.53 0 0.96049 114 16.265 0 1.5874 115 16.011 0 1.1994 116 16.01 0 1.0957 117 15.292 0 1.6173 118 14.751 0 1.5491 119 14.1 0 1.7189 120 13.604 0 2.2947 121 14.564 0 1.3095 122 15.814 0 0.90491 123 16.413 0 1.8575 124 17.894 0 2.3092 125 18.351 0 2.4786 126 18.924 0 2.1415 127 19.29 0 3.1384 128 20.259 0 2.0347 129 21.519 0 2.7973 130 22.558 0 2.5984 131 23.228 0 3.4708 132 23.681 0 3.8329 133 25.107 0 3.2257 134 26.195 0 3.9737 135 27.164 0 3.7592 136 28.389 0 0.8421 137 28.318 0 3.0096 138 28.654 0 3.2249 139 29.117 0 2.0344 140 28.967 0 2.6031 141 28.675 0 3.5544 142 29.146 0 2.8373 143 29.456 0 3.4512 144 29.821 0 3.7501 145 30.283 0 2.9298 146 31.058 0 0.53621 147 31.041 0 2.2602 148 31.596 0 2.4571 149 32.106 0 2.4027 150 33.167 0 2.8453 151 34.051 0 2.2488 152 34.202 0 2.5405 153 34.166 0 2.732 154 34.237 0 2.2667 155 34.165 0 2.901 156 34.032 0 3.3576 157 34.019 0 3.1226 158 34.013 0 3.0476 159 34.413 0 3.4194 160 34.759 0 3.4547 161 35.372 0 1.8186 162 35.474 0 2.8319 163 35.496 0 3.0072 164 35.013 0 3.1935 165 35.039 0 2.702 166 34.537 0 3.9906 167 34.46 0 3.5865 168 34.019 0 2.9487 169 33.784 0 2.6399 170 33.348 0 3.0104 171 32.97 0 2.7907 172 32.37 0 2.9503 173 31.655 0 3.1731 174 30.924 0 3.3167 175 30.633 0 2.8813 176 30.271 0 2.2009 177 29.925 0 0.68537 178 28.836 0 1.2041 179 27.965 0 1.2576 180 28.03 0 1.3704 181 28.15 0 1.1617 182 28.137 0 1.7929 183 28.185 0 1.5717 184 27.789 0 2.1011 185 27.186 0 3.3561 186 26.661 0 3.7526 187 27.182 0 1.319 188 27.02 0 2.3751 189 26.886 0 2.2323 190 26.076 0 2.6724 191 25.068 0 2.5134 192 23.123 0 2.5972 193 22.115 0 2.8418 194 21.166 0 2.7421 195 19.865 0 2.8943 196 18.228 0 4.4442 197 17.156 0 4.1615 198 15.984 0 4.7051 199 15.229 0 3.1347 200 15.413 0 2.9404 201 15.361 0 2.9471 202 15.203 0 2.694 203 14.737 0 3.5482 204 15.103 0 4.4101 205 15.251 0 3.9188 206 15.549 0 3.1401 207 15.723 0 4.1805 208 16.122 0 3.785 209 16.563 0 3.0909 210 16.441 0 3.1262 211 16.171 0 2.71 212 16.118 0 1.3931 213 16.033 0 1.8783 214 16.165 0 1.7931 215 16.117 0 1.6375 216 15.433 0 2 217 14.526 0 1.239 218 13.972 0 2.1725 219 13.867 0 2.5475 220 13.799 0 2.1523 221 13.779 0 1.9737 222 13.882 0 1.5479 223 14.435 0 2.0308 224 15.475 0 1.0291 225 14.654 0 3.0992 226 14.384 0 3.2558 227 14.254 0 2.9455 228 14.572 0 2.09 229 13.903 0 3.2105 230 13.493 0 1.8981 231 12.619 0 2.5499 232 12.39 0 2.205 233 12.665 0 1.9889 234 12.702 0 3.1944 235 13.148 0 2.4544 236 13.483 0 1.0374 237 13.432 0 2.2114 238 13.739 0 1.1359 239 13.756 0 2.5452 240 14.325 0 2.2076 241 14.72 0 2.2928 242 15.083 0 2.7069 243 15.656 0 2.6775 244 16.36 0 0.91823 245 16.351 0 1.734 246 16.28 0 2.3711 247 16.705 0 2.8733 248 17.698 0 2.9479 249 18.424 0 2.2504 250 18.396 0 1.8289 251 18.305 0 1.8573 252 18.305 0 1.5253 253 18.199 0 1.8978 254 18.377 0 0.25638 255 18.413 0 0 256 17.696 0 2.2233 257 16.672 0 2.6813 258 15.946 0 2.2069 259 15.669 0 1.7385 260 15.272 0 2.8541 261 15.291 0 1.9204 262 15.387 0 1.5276 263 15.461 0 1.9569 264 15.739 0 1.1647 265 15.497 0 2.831 266 15.506 0 3.0117 267 15.264 0 2.7655 268 15.01 0 3.1261 269 15.434 0 2.5024 270 15.472 0 2.4352 271 15.093 0 4.2258 272 14.743 0 2.9678 273 14.596 0 1.5742 274 15.503 0 0.45139 275 16.314 0 0.91913 276 17.07 0 1.0643 277 16.597 0 0.89695 278 17.006 0 1.0062 279 17.337 0 1.1704 280 17.535 0 1.6881 281 17.365 0 1.8531 282 16.97 0 2.3156 283 17.012 0 1.6324 284 17.436 0 0.63767 285 17.169 0 1.7328 286 16.705 0 2.005 287 16.086 0 2.3788 288 15.588 0 1.621 289 16.148 0 0.98991 290 16.802 0 1.0025 291 17.352 0 1.1531 292 17.651 0 1.3301 293 18.331 0 0.7943 294 19.13 0 0.86858 295 19.866 0 0.40169 296 19.636 0 1.1636 297 19.353 0 2.15 298 18.758 0 1.7915 299 17.945 0 1.312 300 17.023 0 1.2939 301 16.251 0 0.59442 302 15.294 0 0.76183 303 14.337 0 1.0179 304 13.482 0 1.7232 305 13.101 0 2.505 306 13.791 0 1.9459 307 13.937 0 2.1248 308 13.908 0 1.9162 309 13.697 0 1.179 310 13.474 0 2.1929 311 14.404 0 2.3365 312 14.136 0 1.5851 313 13.625 0 1.2201 314 12.775 0 1.2522 315 12.588 0 2.0584 316 12.303 0 3.2618 317 13.537 0 3.4311 318 14.726 0 3.5879 319 15.779 0 3.6848 320 16.945 0 2.3804 321 17.95 0 1.1877 322 18.323 0 0 323 18.26 0 0.83676 324 18.307 0 2.3123 325 18.536 0 1.6961 326 18.422 0 2.2101 327 18.421 0 2.2183 328 18.327 0 1.6875 329 18.02 0 1.9326 330 18.579 0 2.1304 331 18.859 0 2.1572 332 19.024 0 1.2673 333 19.276 0 1.1579 334 19.687 0 0.98243 335 20.091 0 1.1895 336 20.483 0 1.2021 337 20.793 0 1.8896 338 21.895 0 1.3331 339 22.61 0 1.4002 340 23.116 0 1.0828 341 24.154 0 1.7679 342 24.845 0 2.4617 343 25.163 0 3.0504 344 25.691 0 2.1828 345 25.766 0 1.8107 346 25.356 0 1.9906 347 25.05 0 1.8781 348 24.696 0 1.6265 349 24.6 0 2.0283 350 24.265 0 2.2703 351 24.2 0 2.1026 352 23.912 0 1.7299 353 23.577 0 1.4637 354 23.202 0 1.1691 355 23.281 0 0.40668 356 23.352 0 0.4653 357 22.659 0 0.9899 358 22.173 0 1.2355 359 21.766 0 1.2965 360 21.321 0 0.80467 361 20.603 0 0.56062 362 19.898 0 1.1469 363 19.843 0 1.7377 364 19.475 0 1.612 365 18.644 0 2.4307 366 18.165 0 2.8516 367 18.072 0 3.0686 368 18.002 0 3.4252 369 18.294 0 2.76 370 18.01 0 3.5446 371 17.839 0 2.4253 372 17.258 0 2.3193 373 16.579 0 3.4109 374 16.619 0 2.4453 375 15.988 0 3.5627 376 15.43 0 3.7488 377 15.904 0 3.7295 378 16.257 0 2.9565 379 16.848 0 3.0317 380 17.108 0 3.3917 381 16.926 0 3.9177 382 17.646 0 2.678 383 18.351 0 2.5392 384 19.112 0 2.4834 385 19.868 0 2.3877 386 20.533 0 1.1454 387 21.341 0 0.84048 388 21.969 0 1.2139 389 22.445 0 1.4317 390 22.7 0 2.3011 391 23.554 0 2.1653 392 24.369 0 2.3746 393 25.287 0 2.0618 394 25.386 0 2.8076 395 26.04 0 0.5658 396 25.902 0 1.7945 397 25.19 0 2.5132 398 24.569 0 3.0485 399 24.458 0 3.893 400 25.976 0 2.5573 401 26.343 0 3.5067 402 26.62 0 2.6913 403 26.038 0 4.1111 404 25.34 0 3.2631 405 25.329 0 2.5159 406 25.399 0 2.7671 407 25.779 0 2.2902 408 25.956 0 2.9825 409 26.72 0 2.8537 410 27.284 0 3.8556 411 28.529 0 2.4798 412 29.192 0 1.7729 413 29.468 0 2.0562 414 29.626 0 2.3034 415 29.874 0 2.7349 416 30.574 0 2.2845 417 30.62 0 1.8824 418 30.371 0 2.2832 419 29.987 0 2.2685 420 29.455 0 2.3278 421 28.815 0 2.3686 422 28.422 0 1.422 423 28.183 0 2.0302 424 28.33 0 0.11078 425 28.304 0 0.78029 426 28.387 0 0.41226 427 28.452 0 0.20629 428 28.15 0 1.6178 429 28.647 0 1.6908 430 29.21 0 2.0045 431 30.161 0 0.80441 432 30.512 0 3.0287 433 31.221 0 2.1989 434 31.332 0 2.671 435 30.581 0 2.0144 436 30.617 0 1.5859 437 30.317 0 2.4711 438 30.611 0 2.2213 439 30.849 0 2.5522 440 31.222 0 2.2159 441 31.195 0 1.3057 442 31.22 0 1.4902 443 31.718 0 1.7728 444 31.32 0 2.5868 445 30.729 0 2.9988 446 30.34 0 2.7769 447 29.683 0 2.3711 448 29.095 0 2.3007 449 28.427 0 2.7915 450 28.01 0 2.7476 451 27.942 0 2.2244 452 28.655 0 1.771 453 28.846 0 2.389 454 28.872 0 1.7974 455 28.511 0 2.013 456 28.779 0 2.6644 457 29.247 0 1.7425 458 29.333 0 2.9023 459 30.048 0 3.8522 460 30.587 0 2.8636 461 31.207 0 3.1126 462 31.447 0 2.8806 463 31.537 0 2.4265 464 32.27 0 1.7038 465 32.268 0 3.0438 466 31.866 0 4.2279 467 31.895 0 3.1859 468 31.117 0 2.7812 469 30.551 0 2.5946 470 30.851 0 2.7677 471 30.506 0 2.7899 472 30.032 0 2.4215 473 29.306 0 2.2815 474 30.15 0 3.4691 475 30.453 0 1.9479 476 29.649 0 3.8474 477 29.392 0 4.0082 478 30.114 0 1.946 479 30.097 0 1.1341 480 29.307 0 1.8425 481 29.341 0 1.6508 482 29.195 0 2.3355 483 28.849 0 2.4511 484 28.482 0 1.4963 485 28.106 0 1.8842 486 28.621 0 3.0019 487 29.092 0 2.723 488 29.698 0 2.3305 489 29.94 0 1.8948 490 30.197 0 1.7611 491 30.47 0 1.2355 492 30.012 0 2.7067 493 29.994 0 2.4494 494 29.866 0 2.8264 495 30.077 0 2.964 496 30.739 0 2.3903 497 31.266 0 2.7286 498 31.848 0 2.4398 499 31.957 0 2.5164 500 31.596 0 3.5438 501 31.635 0 2.9558 502 32.105 0 1.6268 503 31.851 0 1.7469 504 31.683 0 1.857 505 31.439 0 2.5992 506 31.069 0 2.8025 507 30.679 0 2.3982 508 29.824 0 3.5538 509 29.143 0 3.3225 510 28.182 0 1.974 511 26.72 0 3.3253 512 25.59 0 2.4162 513 24.891 0 0.51946 514 23.99 0 1.1388 515 23.759 0 2.9249 516 23.483 0 3.159 517 23.151 0 3.2874 518 22.853 0 3.7116 519 23.015 0 2.6008 520 23.188 0 1.7687 521 22.68 0 3.2209 522 22.525 0 3.3708 523 22.47 0 2.7797 524 21.994 0 2.9378 525 21.423 0 1.738 526 20.019 0 1.5546 527 20.477 0 1.3179 528 20.756 0 1.6543 529 21.249 0 1.1534 530 21.11 0 1.6372 531 20.527 0 1.2642 532 20.712 0 0.91716 533 20.758 0 0.93104 534 20.006 0 1.1318 535 19.231 0 1.0753 536 19.201 0 0.38942 537 18.425 0 1.301 538 16.845 0 1.1504 539 15.401 0 0.75579 540 14.006 0 0.99619 541 12.083 0 0.83056 542 11.242 0 0.73732 543 10.346 0 0.87714 544 10.311 0 0.2173 545 10.017 0 0.87436 546 10.002 0 0.10931 547 9.1423 0 2.2417 548 8.3091 0 2.1683 549 8.3389 0 0.24584 550 7.8475 0 1.4673 551 6.9659 0 1.8401 552 6.0772 0 1.8225 553 5.4002 0 1.8468 554 5.0627 0 1.5423 555 4.5823 0 2.2066 556 4.764 0 2.1598 557 4.8612 0 2.5046 558 5.3438 0 1.8813 559 5.8051 0 2.0604 560 5.8793 0 2.0216 561 5.9062 0 1.9729 562 6.1771 0 0.1533 563 6.0077 0 2.5125 564 6.3841 0 2.4876 565 7.055 0 2.3016 566 7.5799 0 1.1297 567 7.6899 0 1.4785 568 7.6444 0 1.7685 569 7.843 0 1.2358 570 7.5726 0 1.9293 571 7.313 0 1.7798 572 6.9718 0 1.7171 573 6.754 0 0.98935 574 6.3849 0 1.4119 575 5.9324 0 1.4589 576 5.4873 0 1.3129 577 4.7651 0 2.2077 578 4.3837 0 1.5675 579 3.8035 0 1.5605 580 3.2836 0 1.1772 581 2.6403 0 1.2358 582 1.8588 0 1.1331 583 0.89569 0 0.71561 584 0.30217 0 1.4765 585 -5.6621e-15 0 0.88393