1 0 0 0 2 0 0 0 3 0 0 0.16981 4 0.025217 0 1.2396 5 0.98244 0 1.5549 6 1.9241 0 1.7851 7 2.7139 0 2.437 8 3.409 0 2.5526 9 4.2808 0 1.7705 10 4.7966 0 2.44 11 5.3627 0 1.4706 12 5.6157 0 1.5252 13 6.2153 0 1.5347 14 6.5792 0 2.2019 15 6.9583 0 1.1842 16 6.6922 0 2.1645 17 7.2085 0 1.9263 18 7.8604 0 1.462 19 8.5553 0 1.5687 20 9.2872 0 1.2442 21 9.9098 0 1.1403 22 10.346 0 1.4866 23 11.221 0 0.79544 24 12.253 0 0.68135 25 13.247 0 0.61647 26 14.159 0 0.81968 27 15.063 0 0.79631 28 16.031 0 1.015 29 17.018 0 1.3512 30 17.304 0 1.7301 31 17.97 0 0.42626 32 18.057 0 0.27089 33 18.104 0 1.4472 34 18.425 0 1.2156 35 18.682 0 0.46052 36 18.78 0 0 37 18.723 0 1.4187 38 18.505 0 2.0718 39 18.696 0 1.0897 40 17.937 0 1.2446 41 17.187 0 1.0887 42 16.347 0 0.81465 43 15.313 0 1.3254 44 14.372 0 0.86117 45 13.349 0 1.6141 46 12.504 0 2.9846 47 12.009 0 2.4199 48 11.543 0 2.4341 49 10.855 0 2.9293 50 10.192 0 2.7202 51 9.818 0 2.2157 52 10.33 0 1.963 53 11.456 0 1.1038 54 12.056 0 1.9931 55 12.612 0 2.0415 56 12.958 0 1.9887 57 13.337 0 1.4771 58 13.671 0 1.3296 59 13.502 0 1.5448 60 12.799 0 2.0681 61 12.118 0 1.9895 62 11.35 0 2.5916 63 10.604 0 2.5673 64 10.759 0 1.2328 65 10.421 0 2.7267 66 9.8525 0 3.7975 67 9.7315 0 4.2635 68 9.1879 0 4.3347 69 9.4802 0 3.5493 70 9.8473 0 3.1988 71 10.173 0 3.0122 72 10.582 0 2.6649 73 10.791 0 3.1517 74 10.832 0 3.6468 75 11.281 0 3.3551 76 11.603 0 3.0155 77 11.694 0 2.3883 78 11.905 0 1.7916 79 12.585 0 1.0828 80 13.228 0 1.2006 81 13.787 0 1.598 82 14.309 0 1.8766 83 15.378 0 1.8477 84 15.768 0 1.2962 85 15.573 0 1.9904 86 16.667 0 1.9863 87 17.791 0 1.8507 88 17.99 0 2.1934 89 18.998 0 1.6096 90 19.112 0 2.0855 91 18.862 0 2.2794 92 19.103 0 1.0676 93 18.729 0 1.9901 94 18.71 0 1.8977 95 18.639 0 1.5026 96 17.931 0 1.5915 97 17.423 0 1.104 98 16.879 0 1.2649 99 16.725 0 1.2351 100 17.089 0 1.1298 101 17.445 0 0.097363 102 16.817 0 0.95203 103 16.159 0 1.1386 104 15.532 0 1.1562 105 14.897 0 1.0197 106 14.297 0 0.95416 107 14.297 0 0 108 14.285 0 0.088743 109 14.216 0 0.37709 110 15.16 0 0.35442 111 15.941 0 1.034 112 17.184 0 1.1015 113 18.153 0 1.7147 114 19.21 0 1.8357 115 20.685 0 1.7128 116 21.115 0 1.5517 117 21.348 0 1.746 118 21.512 0 3.0378 119 21.746 0 2.7266 120 21.054 0 2.4121 121 20.442 0 1.4744 122 19.792 0 0.53354 123 18.859 0 1.2143 124 18.205 0 1.2305 125 17.583 0 1.0205 126 17.785 0 2.3414 127 18.236 0 2.0157 128 18.484 0 2.2152 129 19.213 0 2.1859 130 19.881 0 2.0041 131 19.284 0 2.9481 132 19.778 0 2.2877 133 19.888 0 2.758 134 20.35 0 1.953 135 21.27 0 0.29024 136 21.239 0 0.68872 137 20.843 0 2.4094 138 20.661 0 1.7289 139 20.151 0 2.2202 140 19.603 0 2.2821 141 19.141 0 1.6633 142 19.362 0 1.4532 143 19.641 0 1.63 144 19.615 0 1.3591 145 18.986 0 1.2714 146 18.446 0 1.9946 147 18.549 0 1.4877 148 18.926 0 1.911 149 19.312 0 1.6356 150 19.604 0 1.8005 151 19.84 0 2.817 152 20.238 0 1.4278 153 20.389 0 1.3425 154 20.817 0 1.5796 155 21.099 0 1.6704 156 20.772 0 1.5354 157 20.311 0 1.4106 158 20.993 0 0.99691 159 21.448 0 1.6281 160 22.078 0 2.2188 161 22.675 0 1.2167 162 22.655 0 2.1856 163 22.379 0 3.6448 164 22.727 0 4.0466 165 23.025 0 3.6554 166 23.412 0 2.8416 167 23.793 0 2.1724 168 23.693 0 2.9812 169 23.858 0 2.6266 170 23.559 0 2.7712 171 22.954 0 2.6897 172 22.386 0 3.0214 173 22.052 0 3.8966 174 22.875 0 2.8139 175 22.818 0 3.1549 176 22.111 0 3.7617 177 21.562 0 2.9552 178 20.982 0 1.9852 179 19.798 0 2.2464 180 20.015 0 0.63412 181 19.628 0 2.5573 182 19.583 0 1.6777 183 19.196 0 2.0793 184 18.655 0 2.6472 185 18.634 0 1.3911 186 18.504 0 1.8138 187 18.3 0 1.8989 188 18.172 0 1.0217 189 18.109 0 0.39928 190 18.039 0 1.4581 191 17.964 0 2.1879 192 17.527 0 2.8211 193 17.048 0 2.6991 194 17.103 0 0.20101 195 17.107 0 0.49358 196 16.804 0 2.0916 197 16.755 0 0.78268 198 16.355 0 1.9137 199 16.136 0 2.6392 200 15.8 0 3.3403 201 16.442 0 2.9045 202 17.296 0 1.9627 203 18.065 0 1.7916 204 18.748 0 2.1004 205 19.078 0 2.4499 206 18.454 0 2.7931 207 17.639 0 1.4664 208 17.409 0 1.8626 209 17.649 0 1.7463 210 17.974 0 1.9919 211 18.397 0 2.4401 212 19.057 0 1.3497 213 18.813 0 2.6594 214 18.468 0 2.7236 215 19.275 0 1.2852 216 20.007 0 1.2025 217 20.685 0 0.14157 218 20.295 0 1.2087 219 19.845 0 1.134 220 19.024 0 2.1065 221 18.484 0 2.1284 222 18.421 0 1.4967 223 18.21 0 1.0098 224 18.189 0 0.60012 225 18.238 0 1.4027 226 18.328 0 1.4357 227 18.147 0 2.4226 228 18.604 0 1.7926 229 19.019 0 1.641 230 19.329 0 2.3678 231 19.658 0 2.5363 232 20.003 0 1.6917 233 20.043 0 2.8777 234 20.271 0 2.486 235 20.756 0 2.0612 236 21.194 0 0.69188 237 21.099 0 0.49819 238 21.099 0 0 239 20.838 0 1.6342 240 20.25 0 2.4426 241 20.302 0 3.4761 242 19.881 0 2.1677 243 19.84 0 1.169 244 19.717 0 0.73546 245 19.635 0 1.2975 246 19.911 0 2.5885 247 19.841 0 2.8957 248 19.248 0 3.1698 249 19.135 0 2.5436 250 19.155 0 1.3517 251 19.172 0 0 252 19.172 0 0 253 18.48 0 1.6025 254 17.957 0 2.1773 255 17.589 0 2.9979 256 17.147 0 2.6492 257 16.392 0 2.8135 258 16.278 0 1.5552 259 16.043 0 1.4781 260 15.793 0 0.25474 261 15.08 0 0.7944 262 15.054 0 0.173 263 14.732 0 2.0009 264 14.229 0 2.8795 265 13.659 0 2.6757 266 13.114 0 2.2822 267 12.759 0 1.3955 268 12.311 0 0.98243 269 12.339 0 1.4265 270 13.023 0 1.7458 271 13.718 0 1.9104 272 14.405 0 1.1994 273 14.254 0 1.4836 274 14.112 0 1.8131 275 14.679 0 2.5112 276 15.381 0 2.9263 277 15.727 0 2.3964 278 15.918 0 3.0299 279 16.433 0 2.5036 280 16.916 0 1.4573 281 17.113 0 0.54802 282 16.387 0 2.2613 283 16.326 0 2.1812 284 16.895 0 1.7875 285 17.686 0 1.6187 286 17.817 0 1.3017 287 17.587 0 1.902 288 17.616 0 1.5562 289 18.159 0 0.96265 290 18.243 0 1.7072 291 18.31 0 1.0614 292 18.376 0 0.14764 293 18.379 0 0.12996 294 18.379 0 0.79341 295 18.191 0 1.8391 296 18.022 0 1.9597 297 17.832 0 1.2176 298 17.279 0 2.1607 299 17.613 0 2.2451 300 17.825 0 1.631 301 18.232 0 0 302 18.152 0 0.40289 303 17.922 0 1.734 304 18.469 0 2.4091 305 18.829 0 3.0035 306 18.91 0 2.5392 307 18.224 0 2.4057 308 17.42 0 3.4109 309 15.995 0 3.0214 310 15.135 0 3.152 311 15.214 0 1.9316 312 15.117 0 2.4244 313 15.26 0 2.6148 314 15.846 0 0.89284 315 15.527 0 1.5723 316 14.929 0 2.5987 317 15.245 0 3.106 318 15.978 0 2.8284 319 16.686 0 2.5132 320 16.634 0 2.1549 321 17.186 0 3.2349 322 17.569 0 4.2278 323 17.965 0 2.9165 324 17.843 0 3.5628 325 18.006 0 2.9279 326 18.127 0 2.2352 327 18.629 0 0.77426 328 18.729 0 0.21338 329 18.517 0 2.7874 330 18.801 0 2.5832 331 19.17 0 1.5596 332 19.393 0 0.83376 333 19.282 0 1.9002 334 19.406 0 2.0415 335 19.631 0 1.1809 336 19.726 0 1.4256 337 19.853 0 1.5961 338 19.857 0 1.5222 339 19.774 0 1.7962 340 19.941 0 1.1835 341 19.998 0 1.711 342 20.027 0 1.3914 343 19.63 0 3.1257 344 19.474 0 2.9748 345 19.53 0 1.5571 346 19.652 0 0.50877 347 19.192 0 2.1449 348 18.785 0 2.0221 349 19.309 0 2.1557 350 19.519 0 2.3148 351 18.801 0 2.8792 352 18.733 0 2.8402 353 19.362 0 1.9254 354 19.852 0 2.029 355 19.507 0 2.5572 356 18.604 0 2.8616 357 17.949 0 2.0386 358 17.967 0 1.2678 359 17.655 0 1.7267 360 17.865 0 2.3012 361 17.84 0 2.3459 362 17.795 0 1.2326 363 17.404 0 1.23 364 16.9 0 1.1303 365 17.125 0 1.3137 366 17.234 0 1.6753 367 17.265 0 1.1621 368 17.149 0 1.2496 369 17.913 0 1.3732 370 19.346 0 1.4651 371 19.867 0 2.201 372 19.981 0 1.7398 373 19.753 0 1.2096 374 19.59 0 1.4044 375 19.476 0 0.75545 376 19.246 0 1.0415 377 19.223 0 0.41783 378 18.69 0 1.6619 379 18.126 0 1.3152 380 17.407 0 1.3782 381 17.246 0 2.2996 382 17.375 0 2.1035 383 18.087 0 1.0983 384 18.41 0 2.5144 385 18.918 0 1.3175 386 18.229 0 2.6384 387 18.28 0 1.6324 388 18.003 0 1.0677 389 18.302 0 1.608 390 18.841 0 1.0428 391 18.306 0 0.90044 392 17.7 0 0.77605 393 17.014 0 0.57582 394 16.877 0 0.8937 395 16.599 0 2.1397 396 16.923 0 1.7366 397 17.27 0 2.008 398 17.125 0 2.4946 399 16.948 0 1.7488 400 16.304 0 1.1969 401 15.651 0 1.2284 402 15.233 0 1.0965 403 13.838 0 1.2282 404 12.388 0 1.172 405 12.042 0 1.4302 406 12.075 0 1.0409 407 12.923 0 1.2953 408 13.593 0 1.6359 409 14.455 0 1.2919 410 14.734 0 1.1619 411 15.002 0 0.90578 412 15.04 0 1.1796 413 15.075 0 1.3948 414 15.418 0 1.2191 415 15.715 0 1.4842 416 16.448 0 1.1895 417 16.569 0 1.598 418 16.368 0 2.4934 419 16.275 0 2.2999 420 16.263 0 2.4253 421 16.471 0 2.1866 422 17.305 0 1.0529 423 17.115 0 2.8709 424 17.579 0 2.0819 425 17.807 0 2.3032 426 18.151 0 1.8017 427 18.247 0 1.7048 428 17.996 0 1.2989 429 17.291 0 1.5854 430 16.64 0 1.2264 431 16.733 0 0.70555 432 16.803 0 0.52065 433 16.795 0 1.3016 434 16.772 0 1.1728 435 16.831 0 0.54151 436 16.805 0 0.64711 437 16.772 0 1.6758 438 17.626 0 1.6626 439 17.838 0 3.268 440 18.401 0 2.7836 441 18.959 0 3.3438 442 19.261 0 3.6503 443 18.921 0 3.523 444 18.363 0 2.2869 445 17.698 0 2.1742 446 18.136 0 2.1346 447 18.194 0 3.31 448 18.666 0 2.3849 449 19.205 0 2.0638 450 19.375 0 2.1368 451 19.037 0 1.7694 452 18.526 0 1.7763 453 17.866 0 1.6789 454 17.161 0 1.7766 455 17.335 0 2.1404 456 16.728 0 2.1513 457 15.91 0 2.3806 458 15.178 0 1.3472 459 14.397 0 1.3715 460 13.533 0 2.5892 461 13.8 0 1.7684 462 14.23 0 1.8502 463 14.55 0 1.8133 464 15.089 0 1.4323 465 15.521 0 1.6527 466 15.128 0 2.7439 467 14.654 0 2.2042 468 14.181 0 2.2362 469 14.477 0 1.9087 470 14.272 0 1.758 471 14.651 0 1.5615 472 15.054 0 1.7499 473 15.648 0 0.13275 474 15.667 0 0.43567 475 15.734 0 0.78818 476 15.841 0 0.66364 477 15.302 0 1.6669 478 14.692 0 1.6246 479 14.091 0 1.8207 480 14.147 0 0.40455 481 13.591 0 1.856 482 13.115 0 1.5944 483 13.087 0 0.61499 484 13.014 0 0.7909 485 13.008 0 0.15656 486 13.008 0 0 487 12.976 0 0.38989 488 12.843 0 1.487 489 12.563 0 2.7282 490 12.536 0 1.3558 491 12.599 0 0.40681 492 12.01 0 1.6523 493 11.227 0 1.9497 494 10.386 0 1.8677 495 9.4688 0 1.8199 496 8.7255 0 1.6128 497 8.6698 0 0.66142 498 8.69 0 0.30256 499 8.6948 0 0.78722 500 8.5414 0 2.0038 501 8.4734 0 2.1473 502 9.5361 0 2.2086 503 10.504 0 2.2204 504 11.206 0 1.6745 505 10.544 0 2.0885 506 11.4 0 1.2529 507 11.862 0 1.4384 508 12.192 0 2.4964 509 12.932 0 1.9802 510 13.809 0 1.9155 511 13.948 0 1.478 512 13.69 0 1.7205 513 14.103 0 1.2127 514 14.467 0 1.2574 515 14.847 0 0.11033 516 14.862 0 0.12002 517 14.868 0 0.082924 518 14.84 0 0.18284 519 14.602 0 1.0177 520 14.161 0 1.3038 521 13.574 0 1.611 522 12.924 0 1.2601 523 12.46 0 1.8254 524 12.053 0 1.6757 525 11.898 0 2.0515 526 12.606 0 0.95658 527 12.272 0 1.5488 528 11.808 0 1.1996 529 11.321 0 1.3029 530 11.299 0 0.29985 531 11.303 0 0.097222 532 11.058 0 0.77464 533 11.942 0 0.37677 534 12.648 0 0.95639 535 13.396 0 0.89233 536 14.119 0 0.76894 537 14.866 0 1.5015 538 15.458 0 0.11462 539 15.473 0 0 540 15.442 0 0.20049 541 14.831 0 1.1706 542 13.89 0 0.61402 543 12.974 0 0.41572 544 12.026 0 0.26974 545 11.071 0 0.32552 546 10.117 0 0.36892 547 9.5455 0 1.1124 548 8.9092 0 1.2639 549 8.0978 0 1.4409 550 7.2743 0 1.3049 551 6.4161 0 1.2433 552 5.4934 0 1.1433 553 4.707 0 0.80128 554 3.8776 0 0.74703 555 3.021 0 0.62577 556 3.0769 0 0.42225 557 2.3592 0 1.2069 558 2.1951 0 0.7224 559 1.7577 0 0.65728 560 2.1407 0 0.093855 561 2.1407 0 1.0371 562 2.5287 0 1.2504 563 2.9114 0 0.43496 564 2.9767 0 0 565 2.9243 0 0.29649 566 2.8645 0 0.32657 567 2.4154 0 1.5207 568 1.8969 0 1.629 569 1.8576 0 0.27861 570 1.3852 0 1.4522 571 0.77115 0 1.3335 572 1.4655e-14 0 1.3126