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 2.434 49 10.855 0 2.9291 50 10.192 0 2.6462 51 9.8063 0 2.217 52 10.317 0 1.5154 53 10.894 0 0.98683 54 11.017 0 1.5546 55 11.21 0 1.5804 56 11.275 0 1.5666 57 11.397 0 0.76018 58 11.523 0 0.62072 59 11.182 0 1.3707 60 10.436 0 2.0298 61 9.7277 0 2.0711 62 9.2813 0 2.7601 63 8.8199 0 3.3054 64 9.4557 0 2.1542 65 9.4974 0 3.2122 66 9.7407 0 2.1926 67 9.4095 0 3.5977 68 9.2001 0 3.493 69 9.7087 0 3.3375 70 10.41 0 3.6179 71 11.261 0 3.5871 72 12.163 0 2.5801 73 12.543 0 3.3037 74 12.926 0 2.9244 75 12.881 0 2.9984 76 13.171 0 1.7274 77 13.058 0 2.2435 78 13.288 0 1.5781 79 14.053 0 0.83611 80 14.824 0 0.92041 81 15.513 0 1.2262 82 16.178 0 1.4486 83 16.819 0 0.96665 84 16.631 0 1.4458 85 16.487 0 1.9156 86 17.055 0 1.94 87 17.65 0 1.9637 88 18.282 0 2.319 89 19.033 0 2.3418 90 19.065 0 2.7721 91 18.672 0 2.5964 92 18.775 0 1.4672 93 18.681 0 1.961 94 18.526 0 1.6113 95 18.216 0 1.8467 96 17.52 0 1.4186 97 16.893 0 1.2739 98 16.275 0 1.3658 99 15.637 0 1.2687 100 15.649 0 0.64949 101 15.679 0 0.31875 102 14.947 0 1.1404 103 14.238 0 1.2664 104 13.553 0 1.2201 105 12.872 0 1.0581 106 12.248 0 1.1571 107 12.273 0 0.21992 108 12.215 0 0.9524 109 12.114 0 2.3592 110 12.331 0 1.6285 111 12.107 0 2.4101 112 11.64 0 2.8732 113 11.619 0 2.4263 114 11.521 0 3.1106 115 11.37 0 3.1136 116 11.322 0 2.6791 117 11.215 0 2.2159 118 11.022 0 1.502 119 10.757 0 1.0004 120 10.372 0 1.0361 121 9.878 0 1.5452 122 9.4279 0 1.9047 123 8.796 0 2.4415 124 8.3026 0 1.7073 125 7.71 0 1.3825 126 7.71 0 0.21945 127 7.5069 0 1.3878 128 7.1046 0 2.5634 129 6.6342 0 2.958 130 6.46 0 2.8629 131 6.2743 0 2.6561 132 6.0928 0 1.3859 133 5.8431 0 0.90056 134 5.8046 0 1.2102 135 5.9235 0 2.4815 136 6.1467 0 2.9093 137 6.7802 0 2.7958 138 7.406 0 2.3744 139 7.8014 0 2.9169 140 8.676 0 2.1045 141 9.4274 0 2.1934 142 10.15 0 0.72661 143 10.282 0 0 144 10.282 0 0 145 9.9175 0 1.2656 146 9.3498 0 2.3365 147 8.6928 0 2.5348 148 8.4014 0 2.3072 149 8.4362 0 1.9029 150 8.6432 0 0.44923 151 8.5825 0 0.3851 152 9.3976 0 0.84627 153 10.246 0 1.0806 154 11.044 0 1.6773 155 10.969 0 1.0796 156 10.675 0 1.7368 157 11.095 0 1.9966 158 11.651 0 1.8173 159 11.399 0 1.663 160 11.154 0 2.0279 161 11.003 0 1.6555 162 11.06 0 0.21683 163 11.033 0 0.64377 164 10.201 0 1.1189 165 9.3918 0 1.0476 166 9.4209 0 0.7974 167 9.4554 0 1.0453 168 8.7829 0 0.84666 169 8.1408 0 0.77285 170 7.4522 0 0.70486 171 7.706 0 0.087514 172 7.4239 0 0.99131 173 7.167 0 0.82195 174 7.167 0 0 175 7.1478 0 0.1373 176 7.1478 0 0.32114 177 6.7552 0 1.7576 178 6.5716 0 1.9291 179 6.495 0 1.7217 180 6.287 0 1.9868 181 6.1439 0 1.9484 182 6.0278 0 1.3157 183 6.0435 0 0.24965 184 6.0586 0 0.62189 185 6.026 0 1.4826 186 6.9662 0 1.7761 187 7.5071 0 2.5833 188 7.8931 0 2.2295 189 8.0027 0 2.2891 190 8.1068 0 2.8067 191 8.5173 0 1.6466 192 8.3465 0 1.9351 193 8.8495 0 2.0261 194 9.3505 0 2.2823 195 9.2761 0 1.6948 196 9.5619 0 2.5379 197 9.9676 0 3.1257 198 10.606 0 2.8628 199 11.328 0 2.0088 200 12.104 0 1.7641 201 13.145 0 0.90223 202 13.915 0 1.5176 203 14.613 0 2.1956 204 15.172 0 1.826 205 15.813 0 1.9164 206 16.45 0 0.3638 207 16.45 0 0 208 16.45 0 0.087378 209 16.461 0 0.081191 210 16.471 0 0 211 16.471 0 0 212 15.874 0 0.97238 213 15.215 0 1.1457 214 14.602 0 1.9169 215 14.738 0 1.6154 216 14.947 0 1.2643 217 14.363 0 1.6406 218 13.834 0 1.7744 219 13.321 0 1.8383 220 12.785 0 1.2913 221 12.468 0 1.2648 222 12.018 0 1.8765 223 12.027 0 1.4113 224 11.727 0 1.8802 225 11.143 0 2.3276 226 10.548 0 2.9568 227 10.213 0 2.3409 228 10.242 0 3.0772 229 9.7756 0 2.6135 230 9.1121 0 2.6108 231 9.3725 0 2.1633 232 9.1999 0 2.5298 233 9.2918 0 0.5622 234 9.3096 0 0.21866 235 9.3387 0 0.09963 236 9.3127 0 0.38136 237 8.9565 0 1.4483 238 8.9454 0 1.609 239 9.1908 0 1.7533 240 9.3641 0 1.8049 241 9.3973 0 1.5163 242 9.251 0 1.5692 243 9.55 0 1.0225 244 9.6579 0 1.0845 245 9.7442 0 0.64062 246 9.2948 0 1.5713 247 8.8415 0 1.7337 248 8.285 0 2.0696 249 7.6245 0 2.9925 250 7.1367 0 2.9929 251 7.0547 0 2.8885 252 6.9918 0 2.9028 253 7.0322 0 2.3249 254 6.9001 0 2.2752 255 6.7872 0 1.4904 256 6.5083 0 2.2219 257 6.672 0 0.60482 258 6.7821 0 0.50942 259 6.8573 0 0.76139 260 6.954 0 0.60478 261 6.9276 0 1.5905 262 7.0195 0 1.3521 263 6.9723 0 2.4503 264 7.1011 0 3.0707 265 7.4946 0 3.5825 266 8.3361 0 2.6512 267 8.7658 0 1.3767 268 9.0026 0 1.2908 269 8.9776 0 1.5547 270 8.7496 0 1.9448 271 9.6576 0 2.2776 272 10.786 0 1.7184 273 11.593 0 2.9449 274 12.494 0 3.7187 275 13.777 0 2.4555 276 14.181 0 0.76779 277 14.343 0 1.0879 278 14.61 0 2.213 279 15.203 0 1.9895 280 16.194 0 2.3167 281 17.192 0 2.4208 282 17.265 0 2.669 283 18.021 0 2.6588 284 18.645 0 2.7183 285 19.464 0 2.2765 286 20.013 0 2.3211 287 20.461 0 2.8514 288 20.755 0 2.97 289 21.125 0 2.3113 290 21.23 0 2.3073 291 21.867 0 2.0023 292 22.311 0 2.5676 293 22.785 0 2.3178 294 23.464 0 2.2334 295 23.691 0 1.591 296 23.449 0 1.3355 297 23.456 0 0.50157 298 23.303 0 2.1187 299 22.993 0 2.5755 300 22.232 0 2.9703 301 21.619 0 3.0544 302 20.958 0 2.5927 303 20.555 0 1.4551 304 21.042 0 1.8128 305 21.189 0 2.7274 306 21.311 0 2.6357 307 20.937 0 3.0429 308 20.715 0 3.0685 309 20.655 0 2.4882 310 20.179 0 2.1393 311 20.389 0 1.957 312 21.009 0 2.1624 313 21.672 0 1.9707 314 21.784 0 2.984 315 21.944 0 2.7346 316 22.245 0 2.1899 317 22.608 0 1.2211 318 22.302 0 1.285 319 21.923 0 2.0454 320 21.753 0 2.3946 321 21.545 0 2.759 322 21.785 0 2.0164 323 22.528 0 1.3086 324 24.056 0 1.9476 325 24.768 0 2.0698 326 24.451 0 2.4817 327 23.953 0 1.2892 328 23.388 0 1.4536 329 23.339 0 2.0269 330 24.16 0 1.8061 331 24.696 0 1.4728 332 24.655 0 1.4679 333 24.399 0 2.3332 334 24.754 0 1.0212 335 25.009 0 1.1229 336 25.265 0 0.74503 337 25.365 0 1.0466 338 25.905 0 0.46253 339 25.192 0 1.105 340 24.571 0 1.0433 341 23.961 0 1.4632 342 23.77 0 2.0548 343 23.337 0 1.9525 344 22.974 0 1.2919 345 22.509 0 1.1929 346 21.996 0 1.2738 347 21.892 0 1.6628 348 22.002 0 2.0075 349 22.323 0 0.70197 350 22.457 0 0.50199 351 21.918 0 2.0469 352 22.414 0 2.0073 353 22.794 0 1.9116 354 22.903 0 2.149 355 22.818 0 1.4027 356 22.746 0 1.5292 357 22.476 0 0.80222 358 21.838 0 1.6963 359 21.808 0 2.4268 360 22.213 0 2.1029 361 22.566 0 1.8405 362 22.49 0 1.6056 363 22.806 0 1.8031 364 23.197 0 1.4168 365 23.498 0 1.4307 366 23.652 0 1.7084 367 23.58 0 1.6055 368 22.707 0 1.5224 369 22.198 0 2.163 370 22.07 0 1.3614 371 21.481 0 1.7896 372 21.217 0 1.9218 373 21.012 0 1.7534 374 21.317 0 1.8568 375 21.768 0 2.1881 376 22.227 0 2.2281 377 22.882 0 1.6715 378 23.924 0 2.596 379 24.709 0 1.8721 380 24.854 0 2.3702 381 25.073 0 1.9942 382 25.203 0 2.0362 383 25.242 0 1.5828 384 24.729 0 1.7477 385 24.07 0 2.2124 386 24.153 0 2.6906 387 24.387 0 2.9502 388 24.212 0 3.6062 389 23.948 0 3.3603 390 23.344 0 4.1251 391 22.373 0 2.9251 392 21.769 0 4.3 393 21.768 0 3.2008 394 22.545 0 0.45388 395 22.614 0 0.41865 396 22.489 0 1.7001 397 23.061 0 2.1472 398 23.81 0 2.3692 399 24.36 0 2.7881 400 24.555 0 2.0687 401 25.284 0 3.1654 402 25.992 0 2.9407 403 26.542 0 2.5425 404 26.941 0 2.754 405 27.379 0 1.8191 406 27.419 0 1.7053 407 27.898 0 0.53902 408 27.945 0 0.28717 409 27.719 0 2.4293 410 27.981 0 2.157 411 28.201 0 1.7586 412 28.356 0 1.2326 413 27.983 0 2.4762 414 27.781 0 2.8221 415 27.673 0 2.0424 416 27.496 0 2.1652 417 27.287 0 2.3497 418 27.174 0 1.8526 419 26.928 0 2.3515 420 26.809 0 1.9772 421 26.58 0 2.2662 422 26.31 0 2.0469 423 25.66 0 3.1031 424 25.271 0 2.9969 425 25.471 0 1.1713 426 25.598 0 0.52167 427 25.446 0 1.9223 428 24.932 0 2.3001 429 25.313 0 2.4956 430 25.358 0 2.5985 431 24.432 0 3.5318 432 24.229 0 3.6411 433 24.446 0 2.0125 434 24.479 0 1.9221 435 23.902 0 3.3418 436 22.81 0 3.9474 437 22.23 0 3.0023 438 21.442 0 2.4484 439 19.997 0 3.0885 440 19.766 0 2.3091 441 19.978 0 2.1425 442 20.442 0 1.6181 443 19.74 0 1.9622 444 18.921 0 1.8417 445 18.645 0 2.3534 446 17.63 0 2.2769 447 17.499 0 1.5007 448 17.334 0 1.2121 449 17.994 0 1.4849 450 19.404 0 1.5733 451 19.889 0 2.3196 452 19.982 0 1.7641 453 19.753 0 1.2088 454 19.59 0 1.4044 455 19.476 0 0.75545 456 19.246 0 1.0415 457 19.223 0 0.41783 458 18.69 0 1.6619 459 18.126 0 1.3152 460 17.407 0 1.3782 461 17.246 0 2.2996 462 17.375 0 2.1035 463 18.087 0 1.0983 464 18.41 0 2.5144 465 18.918 0 1.3175 466 18.229 0 2.6384 467 18.28 0 1.6324 468 18.003 0 1.0677 469 18.302 0 1.608 470 18.841 0 1.0428 471 18.306 0 0.90044 472 17.7 0 0.77605 473 17.014 0 0.57582 474 16.877 0 0.8937 475 16.599 0 2.1397 476 16.923 0 1.7366 477 17.27 0 2.008 478 17.125 0 2.4946 479 16.948 0 1.7488 480 16.304 0 1.1969 481 15.651 0 1.2284 482 15.233 0 1.0965 483 13.838 0 1.2282 484 12.388 0 1.172 485 12.042 0 1.4302 486 12.075 0 1.0409 487 12.923 0 1.2953 488 13.593 0 1.6359 489 14.455 0 1.2919 490 14.734 0 1.1619 491 15.002 0 0.90578 492 15.04 0 1.1796 493 15.075 0 1.3948 494 15.418 0 1.2191 495 15.715 0 1.4842 496 16.448 0 1.1895 497 16.569 0 1.598 498 16.368 0 2.4934 499 16.275 0 2.2999 500 16.263 0 2.4253 501 16.471 0 2.1866 502 17.305 0 1.0529 503 17.115 0 2.8709 504 17.579 0 2.0819 505 17.807 0 2.3032 506 18.151 0 1.8017 507 18.247 0 1.7048 508 17.996 0 1.3076 509 17.296 0 1.6013 510 16.658 0 1.2525 511 16.759 0 0.73045 512 16.834 0 0.55425 513 16.835 0 1.2824 514 16.815 0 1.2 515 16.88 0 0.59358 516 16.866 0 0.6616 517 16.835 0 2.204 518 17.273 0 1.4896 519 17.018 0 2.952 520 17.012 0 2.4954 521 16.872 0 2.5705 522 16.274 0 2.55 523 15.498 0 3.0687 524 14.859 0 2.1147 525 14.047 0 2.0077 526 13.929 0 1.4484 527 13.332 0 2.436 528 13.174 0 1.9134 529 13.121 0 1.4625 530 13.058 0 1.47 531 12.437 0 1.5991 532 11.703 0 1.7263 533 10.911 0 1.5433 534 10.162 0 1.6119 535 10.006 0 1.3344 536 9.1441 0 1.8055 537 8.1105 0 1.7979 538 7.1883 0 1.1057 539 6.3527 0 1.055 540 5.478 0 1.6295 541 5.2895 0 1.8047 542 5.0679 0 1.8573 543 4.8373 0 1.4494 544 4.7665 0 0.41371 545 4.7119 0 0.41561 546 3.9535 0 2.0866 547 3.3326 0 1.837 548 2.7041 0 1.8265 549 2.8492 0 1.4802 550 2.6604 0 1.742 551 2.8832 0 1.5392 552 3.1116 0 1.7009 553 3.4887 0 0 554 3.4729 0 0.76505 555 3.6111 0 0.84355 556 3.7697 0 0.57626 557 3.4167 0 1.4174 558 2.8952 0 1.6204 559 2.396 0 1.8454 560 2.4424 0 0.26464 561 2.0461 0 1.5682 562 1.667 0 1.3801 563 1.5686 0 0.46373 564 1.426 0 0.8068 565 1.3967 0 0.19074 566 1.3967 0 0 567 1.3837 0 0.23664 568 1.23 0 0.94094 569 1.0172 0 1.171 570 0.84361 0 0.7811 571 0.84361 0 0 572 0.76037 0 0.49368 573 0.63613 0 0.7077 574 0.47692 0 0.84245 575 0.2603 0 1.0237 576 8.8263e-15 0 0.8272