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 0.13089 8 0.018144 0 1.0476 9 0.3977 0 0.98422 10 0.68782 0 0.8105 11 0.885 0 0.91614 12 1.0687 0 0.33434 13 1.121 0 0.47056 14 1.1907 0 0.19029 15 1.2152 0 0.49511 16 1.3079 0 0.53776 17 1.408 0 0.50538 18 1.4999 0 0.73402 19 1.6179 0 1.1625 20 1.9017 0 1.0733 21 2.0843 0 0.47899 22 2.1637 0 0.2148 23 2.1979 0 1.1308 24 2.5266 0 1.8955 25 3.3714 0 1.9289 26 4.3251 0 2.0476 27 5.2333 0 1.3128 28 5.5748 0 1.3866 29 6.2283 0 1.6571 30 7.1713 0 1.5832 31 8.0968 0 1.6172 32 8.9233 0 1.5602 33 9.7124 0 0.99676 34 10.246 0 1.2376 35 10.718 0 0.52059 36 10.733 0 1.5577 37 10.751 0 2.0167 38 10.679 0 0.9377 39 10.4 0 1.2362 40 10.177 0 1.3314 41 10.14 0 1.9702 42 10.33 0 2.6749 43 10.704 0 2.4745 44 10.595 0 2.5448 45 10.773 0 2.0465 46 10.42 0 3.0851 47 10.317 0 2.7682 48 10.151 0 2.2453 49 9.9626 0 2.1498 50 10.729 0 1.3848 51 11.308 0 2.0772 52 11.652 0 1.7306 53 12.068 0 1.6651 54 12.609 0 1.6756 55 13.645 0 1.8378 56 14.831 0 2.0699 57 15.99 0 1.5885 58 16.365 0 1.4166 59 16.635 0 1.152 60 16.839 0 1.5734 61 17.199 0 1.9497 62 17.876 0 1.8613 63 18.453 0 1.8128 64 20.056 0 1.6388 65 21.152 0 2.0362 66 22.547 0 1.9801 67 23.815 0 2.0665 68 24.627 0 2.3899 69 24.927 0 3.0965 70 25.465 0 2.7723 71 26.192 0 2.2787 72 26.936 0 1.6521 73 27.174 0 1.8699 74 27.328 0 2.1465 75 27.181 0 2.3757 76 27 0 2.2144 77 27.026 0 2.5502 78 27.33 0 2.248 79 27.069 0 2.3663 80 26.94 0 2.3499 81 27.007 0 2.4928 82 27.293 0 1.9985 83 27.353 0 2.4793 84 27.186 0 1.9292 85 26.685 0 2.0512 86 25.961 0 2.6837 87 25.222 0 2.483 88 24.9 0 2.1413 89 24.178 0 2.7874 90 24.097 0 1.9342 91 23.617 0 2.4494 92 23.703 0 1.9338 93 23.796 0 1.9646 94 23.862 0 2.1092 95 23.836 0 2.2683 96 23.754 0 2.3128 97 22.758 0 2.3244 98 21.907 0 2.5387 99 21.259 0 2.2606 100 20.612 0 1.8437 101 19.964 0 1.2843 102 19.19 0 1.6407 103 18.764 0 1.8391 104 18.039 0 3.0087 105 17.193 0 2.7845 106 16.173 0 2.6161 107 15.337 0 2.373 108 15.394 0 2.4229 109 15.75 0 3.1849 110 15.729 0 4.5926 111 15.565 0 4.0449 112 15.698 0 4.0396 113 16.333 0 2.2205 114 16.724 0 1.8517 115 16.584 0 2.257 116 16.402 0 2.9054 117 17.708 0 3.0937 118 18.633 0 3.4963 119 19.336 0 2.1486 120 19.227 0 2.3968 121 19.871 0 1.832 122 20.281 0 1.7343 123 20.323 0 2.6562 124 20.584 0 2.2802 125 20.299 0 2.286 126 19.651 0 1.8517 127 19.176 0 0.94271 128 19.43 0 1.4559 129 19.445 0 2.1452 130 19.798 0 1.43 131 20.212 0 1.217 132 20.353 0 1.6996 133 20.399 0 1.7747 134 20.367 0 1.4883 135 20.126 0 2.003 136 20.496 0 2.3732 137 21.463 0 2.1245 138 22.14 0 2.4591 139 22.424 0 3.3081 140 22.694 0 2.9709 141 22.382 0 2.8086 142 21.884 0 3.0897 143 21.744 0 1.8655 144 22.228 0 1.5258 145 22.853 0 1.5147 146 23.588 0 1.6298 147 24.291 0 1.7206 148 24.794 0 1.1389 149 25.467 0 1.2256 150 26.134 0 1.7976 151 26.654 0 1.9329 152 26.581 0 1.9745 153 26.223 0 1.7538 154 25.601 0 1.4557 155 24.979 0 1.5954 156 24.412 0 1.4535 157 24.382 0 1.2037 158 24.275 0 1.6646 159 23.998 0 1.9019 160 24.586 0 2.1262 161 25.412 0 1.6864 162 25.59 0 2.7516 163 25.706 0 2.2708 164 25.707 0 2.4853 165 26.016 0 1.9384 166 25.812 0 1.4873 167 26.314 0 1.7154 168 27 0 1.7141 169 27.509 0 1.993 170 27.536 0 2.4028 171 27.021 0 3.1705 172 26.32 0 2.9206 173 25.575 0 2.8417 174 25.705 0 1.1869 175 25.36 0 1.7321 176 25.12 0 1.4238 177 25.84 0 1.1178 178 25.877 0 1.5703 179 25.205 0 2.1881 180 25.149 0 1.8429 181 24.925 0 0.836 182 25.057 0 0.96103 183 24.603 0 2.1313 184 23.629 0 1.5155 185 22.154 0 1.4661 186 22.78 0 1.4611 187 23.04 0 1.3671 188 23.072 0 1.2587 189 22.899 0 1.2055 190 22.542 0 1.2636 191 22.148 0 1.9617 192 21.856 0 2.6226 193 21.504 0 1.8855 194 21.133 0 1.909 195 20.965 0 1.6268 196 20.589 0 1.3022 197 20.883 0 1.254 198 21.009 0 2.0671 199 21.14 0 2.3208 200 20.887 0 2.5685 201 20.254 0 2.8866 202 19.768 0 2.9895 203 19.155 0 2.945 204 19.037 0 2.9123 205 19.374 0 1.5701 206 19.28 0 2.4615 207 19.359 0 2.1149 208 19.25 0 2.0644 209 18.82 0 2.799 210 18.303 0 2.8315 211 17.742 0 2.8581 212 16.726 0 2.9615 213 15.835 0 2.3591 214 15.133 0 2.176 215 14.233 0 1.8964 216 13.436 0 1.9533 217 13.638 0 0.62279 218 13.519 0 2.1682 219 13.663 0 3.084 220 13.748 0 2.8107 221 13.647 0 1.6793 222 14.544 0 2.5737 223 15.884 0 1.6579 224 17.185 0 2.1085 225 18.557 0 1.457 226 19.443 0 1.487 227 20.205 0 1.206 228 20.53 0 3.2618 229 20.919 0 3.1943 230 20.879 0 4.1811 231 20.969 0 2.7089 232 20.551 0 2.2864 233 19.565 0 3.5577 234 18.451 0 3.7804 235 17.875 0 2.71 236 17.9 0 2.3091 237 17.583 0 2.9514 238 17.637 0 2.385 239 17.734 0 2.7676 240 17.791 0 2.0567 241 17.585 0 1.8011 242 17.221 0 2.6428 243 16.602 0 2.8939 244 16.303 0 1.9898 245 15.819 0 1.5388 246 15.469 0 1.761 247 15.117 0 2.003 248 15.704 0 1.797 249 16.277 0 1.6963 250 16.879 0 1.3882 251 17.279 0 0.80658 252 17.04 0 2.4039 253 17.524 0 2.4556 254 18.257 0 2.1957 255 18.973 0 1.4078 256 19.401 0 0.65731 257 19.378 0 0.92437 258 19.135 0 1.6005 259 18.966 0 1.2272 260 18.836 0 1.0625 261 18.199 0 2.4829 262 17.322 0 2.6542 263 16.483 0 2.5027 264 16.026 0 1.6275 265 15.307 0 1.7283 266 14.422 0 1.6266 267 13.491 0 1.7019 268 12.794 0 1.6873 269 11.893 0 1.5398 270 10.811 0 2.1155 271 10.298 0 1.9819 272 9.7095 0 2.3612 273 9.7461 0 1.8659 274 9.5285 0 2.2182 275 9.484 0 2.6239 276 9.8506 0 2.8118 277 10.359 0 2.8231 278 10.77 0 2.3789 279 11.761 0 1.2406 280 11.825 0 1.7017 281 12.123 0 1.8089 282 12.497 0 1.5156 283 12.718 0 1.871 284 12.884 0 0.89543 285 12.713 0 2.2405 286 13.205 0 2.1456 287 13.633 0 1.6365 288 13.847 0 0.44169 289 14.886 0 0.36092 290 15.892 0 0.47089 291 16.843 0 0.64306 292 17.695 0 0.40872 293 17.432 0 1.328 294 18.011 0 1.2739 295 18.738 0 1.3142 296 19.59 0 0.68907 297 19.638 0 0.80551 298 19.717 0 0.14061 299 19.594 0 1.7579 300 19.574 0 2.3185 301 19.625 0 1.7368 302 19.583 0 1.6096 303 19.72 0 0.48259 304 18.943 0 1.2336 305 18.05 0 1.6831 306 18.281 0 1.6609 307 19.052 0 1.5989 308 18.576 0 2.5283 309 18.176 0 2.2061 310 17.672 0 1.9771 311 17.118 0 1.4366 312 16.538 0 2.8623 313 16 0 1.9043 314 15.709 0 1.4864 315 15.843 0 1.1592 316 15.757 0 2.1551 317 15.721 0 3.0342 318 15.744 0 2.3958 319 15.016 0 2.134 320 15.167 0 1.2565 321 14.958 0 3.1786 322 15.244 0 2.2776 323 15.435 0 1.5132 324 15.08 0 1.4609 325 14.758 0 1.2136 326 14.772 0 0.51545 327 14.82 0 0.73322 328 14.896 0 0.99042 329 14.951 0 0.90399 330 14.993 0 0.73387 331 14.646 0 2.2202 332 13.978 0 2.5382 333 13.325 0 2.3417 334 12.558 0 1.396 335 11.802 0 1.2504 336 12.146 0 1.5301 337 12.528 0 1.8711 338 12.784 0 1.9701 339 12.834 0 2.2373 340 13.257 0 2.0423 341 14.225 0 1.3506 342 14.656 0 1.1282 343 14.841 0 1.6265 344 15.422 0 2.2034 345 16.385 0 1.769 346 17.123 0 1.8757 347 17.601 0 2.0382 348 17.694 0 1.6448 349 17.835 0 1.5911 350 18.538 0 1.5332 351 19.236 0 1.4866 352 19.987 0 1.3962 353 20.637 0 1.3966 354 20.992 0 1.9387 355 21.532 0 1.9389 356 22.017 0 2.1472 357 22.315 0 1.1798 358 21.935 0 1.6059 359 21.644 0 1.6125 360 21.739 0 0.73136 361 21.802 0 1.8184 362 22.22 0 1.9871 363 22.351 0 2.3947 364 22.595 0 2.3523 365 22.336 0 2.3789 366 22.354 0 1.4998 367 22.449 0 1.2872 368 22.275 0 1.7695 369 21.612 0 2.6422 370 20.681 0 3.0344 371 20.82 0 2.3329 372 20.849 0 1.8744 373 20.464 0 1.3338 374 19.852 0 1.5407 375 19.386 0 2.2154 376 19.296 0 1.9412 377 19.64 0 1.7815 378 20.19 0 1.5456 379 20.5 0 0.9995 380 20.578 0 1.3213 381 20.652 0 1.3693 382 21.095 0 1.789 383 21.334 0 2.008 384 20.904 0 2.5099 385 20.394 0 1.9548 386 19.987 0 2.0242 387 19.752 0 1.2756 388 19.604 0 1.0701 389 19.47 0 1.7055 390 19.427 0 1.5016 391 18.918 0 2.1523 392 18.902 0 2.4684 393 19.32 0 2.4805 394 19.925 0 1.8492 395 20.25 0 2.4312 396 20.638 0 1.1548 397 20.261 0 0.43503 398 20.26 0 1.7964 399 20.239 0 3.1122 400 20.457 0 3.5116 401 21.085 0 2.205 402 21.847 0 1.6628 403 22.712 0 1.4172 404 23.235 0 1.22 405 23.682 0 1.6974 406 23.912 0 1.8536 407 23.756 0 2.1999 408 23.563 0 2.605 409 23.748 0 2.0979 410 23.613 0 1.5377 411 23.635 0 0.75727 412 23.659 0 1.3922 413 22.998 0 2.0807 414 22.188 0 2.0362 415 21.423 0 1.8913 416 20.414 0 2.2487 417 19.681 0 2.1436 418 19.539 0 1.0364 419 20.092 0 0.88455 420 20.429 0 1.2515 421 20.111 0 1.7796 422 19.598 0 1.9596 423 18.919 0 1.8403 424 18.097 0 1.6388 425 17.217 0 2.1559 426 16.531 0 1.8309 427 15.703 0 1.3143 428 15.077 0 2.2812 429 14.679 0 2.3452 430 13.447 0 3.6994 431 12.314 0 2.6855 432 10.811 0 2.0237 433 9.4922 0 2.3827 434 9.0724 0 2.1242 435 9.0963 0 2.1201 436 9.2092 0 2.2177 437 9.4612 0 0.96083 438 9.5954 0 1.2414 439 9.9624 0 1.8212 440 10.687 0 1.797 441 11.437 0 2.0852 442 12.226 0 1.7349 443 12.723 0 1.1683 444 13.535 0 0.99809 445 14.403 0 1.0408 446 15.292 0 1.2616 447 16.27 0 1.1774 448 16.496 0 0.53223 449 16.597 0 0.41526 450 16.681 0 0.4017 451 16.761 0 1.229 452 16.287 0 1.4481 453 15.741 0 0.94446 454 15.031 0 0.8562 455 14.352 0 1.209 456 14.29 0 1.8019 457 14.165 0 1.9774 458 14.045 0 2.2051 459 14.275 0 1.7814 460 14.346 0 2.3919 461 14.298 0 1.8997 462 14.173 0 1.9344 463 14.257 0 2.9245 464 15.071 0 2.7031 465 15.631 0 2.5631 466 15.722 0 3.224 467 16.222 0 2.4581 468 16.605 0 2.1714 469 16.579 0 2.2386 470 16.647 0 2.0313 471 16.97 0 2.3682 472 17.613 0 2.3357 473 17.953 0 2.2455 474 18.052 0 1.9819 475 18.329 0 2.324 476 18.852 0 1.6363 477 18.916 0 2.48 478 18.962 0 2.1132 479 18.676 0 2.6242 480 18.708 0 2.4647 481 18.9 0 1.7961 482 18.964 0 1.4305 483 18.683 0 1.8696 484 18.432 0 1.3658 485 17.727 0 2.647 486 18.28 0 2.2094 487 18.814 0 2.148 488 19.132 0 2.0176 489 19.313 0 1.4735 490 18.646 0 2.0041 491 18.284 0 1.2901 492 17.877 0 1.6169 493 17.483 0 1.7264 494 16.719 0 2.4308 495 16.201 0 2.4171 496 15.79 0 2.8712 497 16.001 0 2.6054 498 16.153 0 2.3738 499 16.222 0 2.4385 500 16.341 0 2.7416 501 16.535 0 2.312 502 16.617 0 3.3239 503 16.747 0 3.0433 504 16.845 0 2.7791 505 16.737 0 3.3581 506 16.524 0 2.9282 507 16.193 0 2.6142 508 15.808 0 1.9487 509 15.159 0 1.7831 510 14.36 0 1.8686 511 13.663 0 2.2586 512 13.528 0 2.7812 513 13.911 0 2.4635 514 14.344 0 1.0518 515 14.033 0 2.731 516 14.076 0 2.8594 517 14.516 0 2.2419 518 14.956 0 2.826 519 15.453 0 1.8786 520 15.39 0 2.8957 521 15.281 0 2.762 522 15.022 0 2.1754 523 14.633 0 1.8627 524 13.623 0 2.9207 525 13.242 0 2.5512 526 12.786 0 2.8991 527 12.285 0 2.785 528 11.695 0 2.4511 529 10.791 0 2.01 530 10.094 0 1.6864 531 9.6293 0 2.0571 532 9.0269 0 1.6917 533 8.7917 0 1.1013 534 8.5466 0 1.2271 535 8.453 0 0.58432 536 8.4228 0 0.19525 537 8.1696 0 0.98967 538 7.7465 0 1.6455 539 7.2781 0 1.7374 540 6.7715 0 1.8563 541 6.3226 0 1.447 542 5.7935 0 1.9607 543 5.5276 0 1.6714 544 5.3531 0 1.1599 545 5.1649 0 1.5638 546 4.9159 0 2.0908 547 4.7205 0 2.5151 548 4.7824 0 2.501 549 4.777 0 2.1256 550 4.7167 0 1.0506 551 4.3399 0 1.4102 552 3.7309 0 1.703 553 2.7435 0 1.6771 554 1.8034 0 2.0168 555 1.0392 0 2.1225 556 0.9372 0 0.60469 557 0.69622 0 1.1125 558 0.15784 0 2.1017 559 0.06285 0 0.54015 560 7.0777e-16 0 0.33866