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 0.11912 9 0.016129 0 0.11582 10 0.031704 0 0.24707 11 0.072751 0 0.25058 12 0.11457 0 0.42512 13 0.18233 0 0.38695 14 0.23667 0 0.50642 15 0.32838 0 0.92451 16 0.9887 0 1.0923 17 1.5851 0 1.3504 18 2.0752 0 1.4543 19 2.4858 0 1.2646 20 2.8388 0 0.50739 21 2.9284 0 1.0072 22 3.1105 0 1.4762 23 3.4951 0 1.9708 24 4.0536 0 1.9621 25 4.6147 0 1.8863 26 5.1013 0 0.11358 27 5.1165 0 1.7682 28 5.8156 0 1.6581 29 6.6213 0 1.6804 30 7.2466 0 0.77079 31 7.3962 0 0.38896 32 8.3199 0 0.029445 33 9.3169 0 0.13132 34 10.318 0 0.27788 35 11.27 0 0.44053 36 12.179 0 0.9747 37 12.772 0 0 38 12.772 0 0.86691 39 13.706 0 0.72284 40 14.701 0 0.98752 41 15.64 0 0.67251 42 15.817 0 0.94899 43 16.763 0 0.92507 44 17.713 0 0.80748 45 18.465 0 0.97247 46 19.063 0 0.16464 47 19.087 0 0.092881 48 18.932 0 0.6505 49 18.759 0 0.66371 50 17.985 0 1.5142 51 17.091 0 1.0888 52 16.163 0 0.94279 53 15.295 0 1.0529 54 15.308 0 0.20561 55 14.573 0 0.91581 56 13.777 0 0.84893 57 13.168 0 0.82673 58 13.363 0 1.9163 59 13.225 0 1.8191 60 12.738 0 1.1165 61 12.092 0 0.89262 62 11.359 0 0.5363 63 10.547 0 0.54908 64 9.8041 0 0.60928 65 9.9612 0 0.31888 66 9.4266 0 1.6854 67 8.6549 0 1.6433 68 7.8934 0 1.9221 69 7.4179 0 1.9689 70 6.7226 0 2.4816 71 5.9908 0 2.4469 72 5.3554 0 2.4281 73 5.2591 0 1.1425 74 5.282 0 1.5205 75 5.1939 0 2.2129 76 5.1744 0 2.0679 77 5.1434 0 3.1693 78 5.3423 0 2.3223 79 5.3548 0 2.7335 80 6.168 0 2.2206 81 6.8362 0 2.5739 82 7.624 0 1.2564 83 7.8816 0 1.0134 84 7.9336 0 1.8485 85 8.0425 0 1.6675 86 7.9521 0 2.8415 87 8.1385 0 2.0751 88 8.0403 0 2.5772 89 8.0808 0 2.5139 90 8.4985 0 1.1735 91 8.5946 0 1.6356 92 8.6077 0 1.0854 93 8.4814 0 0.86114 94 8.4986 0 0.10523 95 8.4904 0 0.15281 96 8.1415 0 1.5648 97 7.8299 0 1.4529 98 7.3772 0 2.1919 99 7.2025 0 2.4306 100 7.8892 0 2.0786 101 8.8163 0 2.0242 102 9.4135 0 2.4707 103 9.89 0 2.4462 104 10.035 0 2.4819 105 10.562 0 2.1642 106 11.107 0 1.7067 107 11.805 0 1.8011 108 12.272 0 1.4501 109 11.934 0 1.429 110 11.617 0 1.5559 111 11.406 0 1.7309 112 10.94 0 3.3708 113 11.336 0 3.0523 114 12.053 0 1.9624 115 12.272 0 1.4457 116 12.074 0 1.054 117 11.787 0 2.0945 118 11.825 0 2.1797 119 11.796 0 2.2867 120 11.694 0 1.6424 121 11.735 0 0.47237 122 11.63 0 0.71251 123 11.55 0 0.63706 124 11.185 0 1.2209 125 10.65 0 2.3548 126 11.159 0 2.2163 127 11.481 0 2.399 128 11.196 0 2.7771 129 11.282 0 2.2022 130 11.134 0 2.0012 131 11.664 0 1.0665 132 11.774 0 0.9757 133 11.567 0 1.7853 134 11.41 0 2.0354 135 11.422 0 1.89 136 11.546 0 2.0759 137 11.774 0 2.2544 138 12.12 0 1.3311 139 12.365 0 0.083862 140 12.36 0 0.11866 141 12.342 0 0.20987 142 12.308 0 0.64159 143 12.332 0 0.82373 144 12.187 0 2.1763 145 12.461 0 2.2993 146 13.211 0 2.0448 147 13.468 0 2.6979 148 13.741 0 1.8778 149 13.907 0 0.66018 150 12.943 0 2.4296 151 12.096 0 2.3312 152 11.562 0 1.2951 153 11.764 0 0.50226 154 12.706 0 0.63301 155 13.154 0 1.5163 156 13.454 0 1.4259 157 13.686 0 1.3488 158 13.847 0 1.4448 159 14.339 0 0.85344 160 15.185 0 0.92253 161 15.896 0 0.1668 162 15.896 0 0 163 15.896 0 0 164 15.896 0 0 165 15.16 0 0.83349 166 14.31 0 0.78797 167 13.445 0 0.54731 168 12.538 0 0.38609 169 11.602 0 0.21267 170 10.629 0 0.20981 171 9.675 0 0.60883 172 8.9296 0 0.6514 173 8.3996 0 0.84867 174 8.635 0 1.8271 175 9.2465 0 1.0774 176 9.4092 0 1.7897 177 9.5785 0 2.1485 178 9.7209 0 2.6435 179 9.9959 0 1.8273 180 10.001 0 1.2746 181 9.8223 0 2.0601 182 9.9911 0 1.9198 183 10.138 0 2.0593 184 10.24 0 1.9105 185 10.212 0 2.0514 186 10.267 0 2.5722 187 10.534 0 1.8727 188 10.54 0 1.81 189 10.333 0 2.0537 190 10.507 0 2.0076 191 10.628 0 2.5615 192 10.844 0 2.9525 193 11.279 0 3.1804 194 11.645 0 3.4507 195 12.352 0 1.9093 196 13.049 0 2.5518 197 13.579 0 3.5363 198 14.088 0 3.4077 199 14.712 0 1.8668 200 14.552 0 2.6867 201 14.12 0 2.0129 202 13.415 0 2.6017 203 13.835 0 1.1255 204 13.764 0 2.0582 205 13.567 0 2.0601 206 13.279 0 2.1992 207 12.911 0 1.8894 208 12.584 0 1.8968 209 12.581 0 1.2885 210 12.548 0 0.85245 211 12.385 0 1.0476 212 12.094 0 1.0073 213 11.75 0 1.4691 214 11.882 0 1.4482 215 12.096 0 1.4722 216 12.679 0 1.5364 217 13.308 0 1.7008 218 14.039 0 1.3409 219 14.122 0 2.0658 220 14.167 0 1.5914 221 14.006 0 1.3356 222 13.901 0 1.0689 223 13.961 0 0 224 13.961 0 0 225 13.961 0 0.30781 226 13.813 0 1.0989 227 13.608 0 1.3582 228 12.632 0 1.8487 229 11.63 0 1.6623 230 10.556 0 1.7503 231 9.5381 0 1.5587 232 9.0018 0 1.3618 233 8.7805 0 2.627 234 9.1416 0 2.4425 235 9.2478 0 1.5332 236 8.6301 0 1.6288 237 8.1313 0 1.3768 238 7.7254 0 2.2986 239 8.5781 0 3.4768 240 9.1566 0 3.7419 241 9.4513 0 3.5919 242 9.5981 0 3.2071 243 10.458 0 2.4327 244 11.546 0 1.909 245 12.455 0 2.3582 246 13.081 0 2.5716 247 13.618 0 2.7859 248 13.761 0 2.9566 249 14.568 0 2.3539 250 15.028 0 1.4282 251 15.184 0 1.1534 252 16.231 0 1.3838 253 17.43 0 1.4797 254 18.274 0 1.7092 255 19.01 0 1.9078 256 19.723 0 1.8591 257 20.25 0 2.0876 258 21.084 0 2.1678 259 21.543 0 1.8402 260 21.925 0 1.839 261 22.421 0 0.53433 262 22.292 0 0.73391 263 22.152 0 1.7029 264 22.631 0 0.41811 265 23.586 0 0.22395 266 24.56 0 0.35174 267 25.284 0 0.6855 268 25.958 0 1.3043 269 26.699 0 1.88 270 27.4 0 1.8864 271 28.979 0 2.0202 272 29.397 0 1.8734 273 30.208 0 1.7556 274 30.669 0 1.1689 275 30.804 0 0.92238 276 30.893 0 0.91082 277 31.086 0 0.89129 278 31.059 0 1.9125 279 31.277 0 0.84376 280 31.008 0 1.1216 281 30.944 0 1.4245 282 31.57 0 1.8864 283 31.715 0 1.8056 284 31.559 0 1.053 285 31 0 1.0161 286 30.333 0 0.35366 287 29.379 0 0.68409 288 29.29 0 0.83741 289 29.204 0 2.5285 290 29.603 0 1.331 291 29.303 0 2.0659 292 29.53 0 4.0097 293 29.525 0 3.953 294 29.673 0 4.3845 295 30.039 0 3.9743 296 29.837 0 4.2288 297 30.156 0 3.1106 298 30.407 0 2.6828 299 30.441 0 1.5352 300 30.302 0 1.6141 301 29.91 0 2.4843 302 29.7 0 2.2487 303 29.155 0 3.1171 304 28.965 0 2.8037 305 28.626 0 1.9427 306 27.018 0 2.8252 307 26.432 0 3.2021 308 25.93 0 3.3582 309 25.403 0 3.4845 310 24.832 0 2.7015 311 24.113 0 1.4308 312 24.311 0 0.86024 313 24.267 0 1.929 314 24.661 0 1.8155 315 24.636 0 1.456 316 24.605 0 1.8464 317 25.306 0 1.3701 318 25.889 0 1.4512 319 26.463 0 0.19057 320 26.492 0 0 321 26.492 0 0 322 26.492 0 0 323 25.953 0 1.1826 324 25.34 0 1.2776 325 24.701 0 1.2619 326 23.94 0 1.1308 327 23.068 0 1.1573 328 22.196 0 1.3191 329 21.568 0 0.81066 330 21.734 0 0.52735 331 21.022 0 1.7492 332 20.117 0 2.2548 333 19.23 0 2.5072 334 18.308 0 2.6596 335 18.137 0 3.1468 336 18.57 0 3.3128 337 18.209 0 3.2206 338 17.777 0 2.7928 339 19.418 0 1.7015 340 20.577 0 1.6516 341 21.229 0 2.4669 342 21.768 0 2.8562 343 22.325 0 2.6924 344 22.56 0 3.0075 345 22.183 0 3.9175 346 21.949 0 3.2983 347 20.995 0 4.5919 348 20.606 0 2.7902 349 19.711 0 2.6558 350 18.023 0 3.0022 351 17.923 0 2.9599 352 17.652 0 2.5628 353 18.404 0 1.1688 354 18.739 0 2.88 355 19.469 0 2.7613 356 19.61 0 2.4162 357 20.016 0 2.9389 358 20.909 0 3.8906 359 22.096 0 3.2519 360 22.712 0 2.1732 361 23.76 0 0.99495 362 24.199 0 1.0847 363 24.565 0 1.5738 364 25.881 0 1.6316 365 27.127 0 1.5609 366 28.013 0 2.0509 367 28.912 0 1.8601 368 29.608 0 2.2657 369 30.206 0 2.129 370 30.2 0 1.3524 371 29.889 0 2.4572 372 30.034 0 2.3024 373 29.814 0 2.2936 374 29.312 0 2.8671 375 29.304 0 2.1098 376 29.101 0 2.5384 377 29.089 0 1.3916 378 28.674 0 1.3029 379 28.445 0 2.5781 380 28.55 0 2.6152 381 28.269 0 2.5762 382 27.886 0 2.6341 383 28.021 0 2.2486 384 27.68 0 1.9985 385 27.148 0 2.4542 386 26.654 0 2.6218 387 26.534 0 2.0317 388 26.583 0 2.3595 389 27.234 0 3.0085 390 27.271 0 1.9744 391 26.859 0 1.0892 392 26.142 0 1.0293 393 26.175 0 0 394 25.982 0 1.1282 395 25.527 0 2.3382 396 25.104 0 2.9343 397 24.542 0 2.8831 398 23.751 0 4.4683 399 23.685 0 4.1194 400 23.325 0 3.2154 401 22.854 0 1.7723 402 23.285 0 0.64708 403 23.386 0 1.49 404 23.158 0 2.9363 405 23.29 0 3.8213 406 23.663 0 3.5327 407 24.193 0 2.392 408 24.167 0 3.1677 409 24.438 0 2.4715 410 24.531 0 2.3763 411 24.863 0 2.1405 412 24.762 0 3.1734 413 24.709 0 3.0776 414 24.855 0 1.8144 415 24.614 0 2.7461 416 24.629 0 1.4775 417 24.188 0 2.9363 418 23.869 0 2.5084 419 23.198 0 2.4134 420 23.123 0 2.2564 421 22.38 0 2.2586 422 21.639 0 1.803 423 20.982 0 1.3278 424 20.171 0 1.371 425 20.783 0 1.7549 426 21.452 0 1.4533 427 22.242 0 1.2887 428 22.565 0 1.3621 429 22.189 0 1.8188 430 21.772 0 1.6626 431 21.772 0 0 432 21.772 0 0 433 21.737 0 0.22268 434 21.737 0 0 435 21.096 0 1.1402 436 20.417 0 1.1386 437 19.742 0 1.0136 438 19.069 0 0.9116 439 18.471 0 0.97255 440 17.58 0 1.6438 441 16.414 0 1.6479 442 15.908 0 1.5011 443 14.962 0 1.2634 444 13.96 0 1.1015 445 12.973 0 0.90992 446 11.976 0 0.8493 447 11.743 0 0.9292 448 10.898 0 1.5552 449 9.9644 0 1.7175 450 9.0571 0 1.9166 451 8.2192 0 2.1743 452 7.9563 0 0.9248 453 7.576 0 1.8174 454 7.324 0 2.1179 455 7.0064 0 2.4396 456 6.7364 0 2.3439 457 6.3597 0 1.7554 458 5.8351 0 1.6942 459 5.0346 0 1.3293 460 4.16 0 1.2631 461 3.9474 0 0.74645 462 3.6902 0 0.82257 463 3.0161 0 1.764 464 2.1357 0 2.0128 465 1.1389 0 1.985 466 0.96082 0 0.67587 467 0.23641 0 1.5394 468 0.038667 0 0.93416 469 0.038667 0 0 470 0.022052 0 0.12199 471 3.8476e-15 0 0.15281 472 3.8476e-15 0 0 473 3.8476e-15 0 0