1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0.095253 5 0.012232 0 0.11567 6 0.027782 0 0.10494 7 0.041565 0 0 8 0.041565 0 0 9 0.041565 0 1.1191 10 0.51898 0 1.104 11 0.95415 0 1.7709 12 1.4887 0 1.5753 13 1.9392 0 0.59938 14 2.0116 0 0.095253 15 2.0116 0 0.82319 16 2.2693 0 0.9374 17 2.6231 0 1.6864 18 3.4318 0 1.7027 19 4.3481 0 1.7965 20 5.1866 0 1.1357 21 5.6428 0 1.0921 22 6.0573 0 0.92053 23 6.3929 0 0.9092 24 6.6431 0 0.64852 25 6.7441 0 0.70667 26 6.7939 0 0.34572 27 6.4984 0 0.97364 28 6.1585 0 1.1366 29 5.8302 0 0.94632 30 5.1409 0 1.5829 31 4.4238 0 1.8035 32 3.9063 0 2.1602 33 4.7768 0 2.3043 34 5.3966 0 1.5451 35 5.6577 0 1.5876 36 6.4141 0 1.9731 37 7.5116 0 1.8142 38 8.0972 0 2.1542 39 8.7581 0 2.0124 40 9.3253 0 1.9645 41 9.7667 0 1.7152 42 10.495 0 1.0129 43 10.783 0 0.062919 44 11.776 0 0.068492 45 12.768 0 0.039172 46 13.763 0 0.024332 47 14.761 0 0.13865 48 15.742 0 0.23319 49 16.704 0 0.33003 50 17.643 0 0.56715 51 18.648 0 0.99369 52 19.195 0 0.91011 53 19.52 0 0.84348 54 21.102 0 0.95537 55 21.865 0 1.0717 56 22.484 0 0.10843 57 22.487 0 0.087242 58 21.889 0 0.97194 59 21.017 0 1.5088 60 20.408 0 0.68066 61 19.728 0 0.5782 62 19.005 0 1.059 63 18.557 0 0.91981 64 17.941 0 1.1105 65 17.37 0 0.55881 66 16.581 0 0.56208 67 15.774 0 1.262 68 16.145 0 1.8638 69 16.304 0 1.7386 70 16.486 0 1.367 71 16.214 0 2.8833 72 16.359 0 2.6467 73 16.5 0 3.2256 74 16.584 0 3.4247 75 17.227 0 1.1596 76 16.734 0 1.9446 77 16.682 0 2.127 78 16.673 0 2.1746 79 17.033 0 1.9931 80 17.753 0 1.4359 81 18.057 0 1.4684 82 18.13 0 1.7646 83 18.928 0 0.6755 84 19.096 0 0.083326 85 19.07 0 0.84953 86 19.138 0 2.5432 87 20.122 0 2.5799 88 20.797 0 0.78769 89 20.882 0 0.64998 90 20.645 0 2.0875 91 20.415 0 3.0069 92 20.642 0 2.2951 93 21.806 0 1.3479 94 22.814 0 1.2342 95 23.466 0 2.8934 96 23.622 0 2.8224 97 23.422 0 3.2549 98 23.158 0 3.0061 99 22.592 0 3.5559 100 23.442 0 3.0846 101 23.546 0 3.1351 102 23.28 0 3.2826 103 23.058 0 3.7877 104 22.917 0 3.4395 105 22.802 0 2.5111 106 22.354 0 3.9102 107 23.183 0 3.412 108 24.069 0 2.5926 109 24.359 0 2.3432 110 24.288 0 2.8598 111 24.069 0 2.3813 112 23.838 0 2.8589 113 23.728 0 3.3995 114 23.909 0 2.8801 115 23.698 0 3.5868 116 24.469 0 3.4051 117 26.101 0 2.3183 118 27.021 0 3.1753 119 28.125 0 2.0682 120 28.79 0 2.6497 121 29.422 0 2.6288 122 29.946 0 2.5928 123 30.842 0 1.4034 124 31.5 0 1.5515 125 32.028 0 1.5943 126 32.34 0 1.9359 127 32.553 0 2.0818 128 32.431 0 2.1459 129 32.864 0 1.5871 130 32.641 0 1.4984 131 32.402 0 1.8715 132 32.37 0 1.5547 133 32.433 0 1.2857 134 32.371 0 1.9178 135 32.212 0 1.4732 136 31.342 0 2.4779 137 31.317 0 2.7444 138 30.748 0 1.9517 139 29.821 0 2.9196 140 29.163 0 2.7794 141 28.527 0 2.6581 142 28.191 0 1.6533 143 28.511 0 1.9866 144 28.652 0 1.9436 145 28.751 0 2.7807 146 29.146 0 2.5839 147 29.22 0 2.4873 148 28.962 0 3.2416 149 29.459 0 3.3896 150 29.846 0 3.4456 151 30.014 0 3.5623 152 29.828 0 4.4525 153 29.743 0 2.7734 154 28.853 0 3.2444 155 28.421 0 2.2589 156 27.778 0 2.6299 157 27.332 0 3.0834 158 27.776 0 2.4191 159 28.29 0 1.088 160 27.663 0 2.5788 161 27.259 0 2.3283 162 26.801 0 2.6346 163 25.479 0 3.597 164 24.867 0 2.2783 165 24.304 0 2.2946 166 23.14 0 3.0415 167 22.727 0 2.0038 168 22.529 0 1.3495 169 22.978 0 1.3809 170 23.043 0 1.4588 171 22.448 0 1.5326 172 21.571 0 1.4528 173 20.662 0 0.92836 174 19.958 0 1.3742 175 19.235 0 1.1681 176 18.457 0 1.3774 177 19.22 0 2.544 178 19.563 0 2.6997 179 19.917 0 2.4401 180 19.992 0 2.9053 181 19.319 0 2.6329 182 19.077 0 3.3653 183 19.043 0 2.3014 184 18.693 0 2.3347 185 18.799 0 1.29 186 19.279 0 1.2174 187 19.628 0 0.6125 188 19.527 0 1.3792 189 19.49 0 0.81133 190 19.369 0 1.4907 191 19.845 0 0.83756 192 19.878 0 0.71243 193 20.758 0 0.61684 194 21.408 0 1.3123 195 21.976 0 1.5664 196 22.013 0 2.5644 197 22.188 0 1.8717 198 22.089 0 2.2488 199 21.388 0 1.8215 200 21.443 0 1.7736 201 21.648 0 1.2089 202 22.207 0 1.3315 203 22.076 0 2.465 204 22.085 0 2.2063 205 22.326 0 1.4795 206 21.819 0 1.792 207 21.733 0 2.3618 208 22.047 0 1.9299 209 22.048 0 2.0753 210 22.231 0 0.36922 211 21.102 0 2.5431 212 20.24 0 2.2485 213 20.08 0 2.0698 214 18.97 0 2.4748 215 17.554 0 3.3432 216 17.039 0 3.2078 217 16.569 0 2.6871 218 16.926 0 1.8093 219 17.223 0 1.5693 220 17.635 0 1.5754 221 18.059 0 0.77913 222 18.221 0 0.54245 223 17.719 0 1.3238 224 17.659 0 1.0827 225 17.598 0 0.91503 226 16.84 0 1.1702 227 16.95 0 1.1282 228 17.022 0 1.2484 229 17.64 0 1.7526 230 17.417 0 1.4508 231 18.358 0 1.2901 232 19.308 0 1.622 233 20.141 0 1.9144 234 20.286 0 2.7168 235 19.681 0 2.9829 236 19.633 0 2.6541 237 20.294 0 1.3374 238 19.762 0 2.5943 239 19.689 0 1.9728 240 19.529 0 1.1396 241 18.432 0 1.958 242 18.141 0 2.8602 243 17.863 0 2.7129 244 17.83 0 1.5413 245 16.917 0 1.5722 246 16.763 0 1.7394 247 16.885 0 0.24841 248 16.853 0 0.34954 249 16.335 0 2.0583 250 15.914 0 2.0039 251 15.677 0 2.7454 252 15.417 0 2.1301 253 14.895 0 1.8826 254 14.955 0 1.0798 255 14.254 0 2.0279 256 14.101 0 1.4813 257 14.296 0 1.2438 258 14.584 0 0.90363 259 15.339 0 0.35454 260 14.842 0 1.0799 261 14.089 0 0.507 262 14.081 0 1.0549 263 14.191 0 1.5582 264 14.449 0 1.8124 265 14.435 0 2.1809 266 15.203 0 2.5974 267 15.523 0 3.2793 268 15.7 0 2.892 269 15.663 0 2.2523 270 15.329 0 2.8334 271 14.631 0 2.5907 272 14.174 0 1.5284 273 14.882 0 0.9212 274 15.532 0 1.0241 275 16.113 0 0.9112 276 17.637 0 1.0751 277 18.693 0 1.4281 278 18.911 0 1.5476 279 18.989 0 2.0524 280 19.442 0 1.9184 281 19.625 0 2.2166 282 19.826 0 1.9814 283 19.966 0 2.0564 284 20.137 0 1.0421 285 20.019 0 1.5813 286 20.117 0 0.44698 287 20.164 0 1.2379 288 20.042 0 2.2551 289 19.648 0 2.7597 290 19.633 0 1.3055 291 19.439 0 2.1141 292 19.362 0 2.3317 293 19.117 0 2.5178 294 18.758 0 2.3707 295 18.484 0 2.2835 296 18.189 0 2.0873 297 17.797 0 2.1453 298 17.7 0 1.8889 299 18.492 0 1.3358 300 18.702 0 1.3835 301 19.005 0 1.8965 302 19.846 0 2.0049 303 20.281 0 1.7762 304 19.899 0 1.5364 305 19.396 0 1.422 306 20.033 0 1.9335 307 19.297 0 2.8392 308 18.552 0 1.6271 309 17.338 0 2.6599 310 17.263 0 2.0474 311 16.751 0 1.5814 312 15.367 0 1.344 313 13.992 0 1.0367 314 12.638 0 1.3664 315 11.819 0 2.6068 316 11.928 0 3.0197 317 12.356 0 2.1314 318 12.701 0 0.9717 319 12.407 0 1.9596 320 12.956 0 1.5785 321 13.665 0 1.1578 322 14.27 0 1.7973 323 14.965 0 1.5488 324 15.038 0 1.9568 325 15.478 0 2.3653 326 16.042 0 2.8622 327 16.28 0 1.3976 328 16.27 0 1.8658 329 16.773 0 0.97911 330 17.188 0 0.15722 331 17.199 0 0.75234 332 17.314 0 0.85497 333 17.35 0 1.3037 334 17.419 0 1.6282 335 17.165 0 2.8659 336 16.563 0 3.3102 337 15.985 0 3.352 338 16.171 0 2.1602 339 16.027 0 1.6269 340 15.369 0 2.6872 341 14.212 0 2.8373 342 13.952 0 2.3427 343 13.992 0 1.4845 344 13.326 0 2.1131 345 12.632 0 2.01 346 12.05 0 1.3764 347 11.286 0 1.518 348 11.104 0 1.1946 349 11.716 0 2.8078 350 12.632 0 3.3832 351 13.522 0 2.3762 352 13.72 0 1.8954 353 13.753 0 1.4437 354 13.611 0 1.3284 355 13.515 0 1.2896 356 13.438 0 1.9148 357 13.258 0 2.8502 358 13.452 0 2.4252 359 13.429 0 2.8142 360 13.214 0 2.8429 361 13.881 0 2.8125 362 14.549 0 2.4299 363 15.023 0 1.8242 364 15.306 0 1.4005 365 14.798 0 1.2611 366 14.959 0 2.2407 367 15.127 0 2.5796 368 14.947 0 2.8378 369 14.444 0 2.7173 370 13.312 0 2.5715 371 14.05 0 1.1471 372 14.762 0 1.3026 373 15.412 0 1.4822 374 16.028 0 1.5841 375 16.623 0 1.9224 376 17.269 0 1.9083 377 17.824 0 2.0608 378 18.478 0 2.1287 379 19.256 0 1.8337 380 20.07 0 2.0121 381 20.703 0 0.87285 382 20.996 0 0 383 20.97 0 0.17452 384 20.619 0 1.7661 385 19.926 0 1.8134 386 19.25 0 1.442 387 18.493 0 1.6992 388 17.746 0 1.8337 389 16.979 0 1.7314 390 16.225 0 0.93855 391 15.356 0 0.65555 392 14.453 0 1.3214 393 13.611 0 1.686 394 12.799 0 1.3782 395 12.869 0 1.7573 396 12.709 0 1.9012 397 11.933 0 2.1302 398 11.259 0 2.1889 399 11.365 0 1.9477 400 10.682 0 2.1557 401 10.099 0 1.7906 402 9.4849 0 0.98163 403 8.6474 0 0.66683 404 8.5315 0 0.68544 405 8.2496 0 2.3079 406 8.2361 0 1.0393 407 8.1663 0 1.2954 408 8.5162 0 1.5483 409 9.2166 0 1.9135 410 9.4202 0 2.0734 411 9.5864 0 1.0813 412 9.1653 0 0.96145 413 9.5385 0 0.11761 414 9.5385 0 0 415 9.4903 0 0.2788 416 9.0309 0 1.2788 417 8.0557 0 1.7377 418 7.1853 0 2.0756 419 6.5422 0 1.6759 420 5.9114 0 1.8154 421 6.795 0 0.54654 422 7.6824 0 0.85662 423 8.3701 0 0.6013 424 8.3701 0 0.4844 425 9.3283 0 0.60359 426 10.162 0 0.82154 427 10.93 0 1.0118 428 11.66 0 1.4215 429 12.495 0 1.4709 430 13.999 0 1.2307 431 15.006 0 2.1394 432 15.65 0 2.9587 433 16.478 0 2.6569 434 16.74 0 2.543 435 16.958 0 2.4009 436 16.931 0 3.5053 437 18.025 0 2.4324 438 18.613 0 1.9676 439 18.868 0 1.6096 440 19.787 0 1.4482 441 20.683 0 1.4893 442 21.556 0 1.6571 443 22.295 0 0.84922 444 22.197 0 2.1807 445 22.806 0 0.98963 446 23.099 0 0.99135 447 23.442 0 1.6992 448 24.113 0 1.7478 449 24.782 0 1.8604 450 25.409 0 0.82797 451 25.67 0 1.5334 452 26.209 0 1.549 453 26.781 0 1.5403 454 27.339 0 1.8442 455 27.966 0 1.7651 456 28.467 0 1.2542 457 28.466 0 2.4565 458 28.483 0 1.8502 459 28.696 0 1.9219 460 28.644 0 1.9876 461 28.536 0 1.9823 462 28.291 0 1.2107 463 27.895 0 1.7039 464 27.444 0 1.8456 465 26.969 0 1.8413 466 26.661 0 0.92538 467 26.661 0 0 468 25.865 0 1.5225 469 25.001 0 1.531 470 24.436 0 1.554 471 23.589 0 1.6716 472 22.822 0 1.6384 473 21.709 0 1.6456 474 20.541 0 1.4161 475 19.288 0 1.3771 476 17.966 0 1.3289 477 16.592 0 1.2922 478 15.193 0 1.2969 479 14.106 0 0.63538 480 12.851 0 0.90008 481 11.407 0 0.59132 482 10.016 0 0.69714 483 9.4558 0 1.8854 484 9.3825 0 2.1038 485 9.5681 0 1.8784 486 9.7242 0 1.7925 487 10.13 0 1.6795 488 10.348 0 1.4365 489 10.352 0 1.4163 490 10.175 0 1.126 491 10.147 0 0.55287 492 9.5447 0 1.8387 493 9.1189 0 2.0707 494 8.5056 0 2.0752 495 8.0367 0 0.99172 496 6.9515 0 1.0232 497 6.0868 0 1.5404 498 6.1722 0 1.6023 499 6.4135 0 1.5413 500 6.7552 0 0.4331 501 6.6366 0 0.7022 502 6.498 0 0.80385 503 6.4569 0 0.28506 504 5.9237 0 1.7102 505 5.3223 0 1.8405 506 4.9349 0 1.3738 507 4.3241 0 1.2385 508 3.6495 0 1.212 509 3.0497 0 1.2574 510 2.6942 0 1.1206 511 2.2455 0 0.99237 512 1.6866 0 1.1608 513 1.008 0 1.1507 514 0.90022 0 0.60101 515 0.50843 0 1.5453 516 7.9936e-15 0 1.7622 517 7.9936e-15 0 0