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 0.17149 9 0.025536 0 0.17875 10 0.052465 0 0.31007 11 0.097756 0 0.67587 12 0.21258 0 1.4294 13 0.68387 0 0.93021 14 1.0296 0 1.0725 15 1.3751 0 1.4161 16 1.7728 0 0.99769 17 2.0644 0 0.76897 18 2.1836 0 0.68202 19 2.25 0 0.35649 20 2.2737 0 0.54862 21 2.4005 0 1.3883 22 2.7292 0 0.92223 23 2.6551 0 2.4581 24 2.9805 0 1.4796 25 3.8663 0 1.4583 26 4.6167 0 0 27 4.2318 0 1.584 28 5.0653 0 1.769 29 5.6205 0 1.6423 30 6.4064 0 0.32502 31 6.3267 0 1.4443 32 6.4738 0 1.5206 33 6.755 0 0 34 6.755 0 0.57819 35 7.6173 0 0.74612 36 8.6007 0 0.89495 37 9.5786 0 0.98736 38 10.526 0 1.2286 39 11.499 0 1.7712 40 12.582 0 1.051 41 14.337 0 1.0889 42 15.414 0 1.3707 43 16.384 0 2.0259 44 16.928 0 1.6279 45 17.356 0 1.7898 46 18.043 0 2.0198 47 18.767 0 2.1815 48 19.5 0 0.46855 49 19.563 0 0 50 19.563 0 0.43862 51 19.622 0 0.10163 52 19.635 0 0 53 19.625 0 0.50772 54 19.683 0 0.88567 55 19.431 0 1.1541 56 19.04 0 1.95 57 18.937 0 1.8268 58 19.535 0 2.4341 59 20.236 0 1.7178 60 20.531 0 1.8836 61 20.591 0 1.0793 62 19.687 0 2.1547 63 19.121 0 2.2608 64 18.53 0 1.7054 65 17.78 0 1.4901 66 17.875 0 0 67 16.904 0 2.1132 68 16.386 0 2.66 69 16.109 0 2.2204 70 15.846 0 2.2336 71 15.578 0 2.0588 72 16.039 0 1.7218 73 16.252 0 1.955 74 16.948 0 2.7874 75 16.907 0 1.9443 76 16.498 0 1.1846 77 15.694 0 1.4935 78 15.877 0 0.87407 79 15.808 0 1.3458 80 15.771 0 0.64857 81 14.628 0 1.6193 82 13.341 0 2.0585 83 13.129 0 1.2342 84 13.078 0 0.72975 85 12.853 0 1.8126 86 12.626 0 2.1414 87 12.739 0 0.22483 88 12.757 0 0.28704 89 12.781 0 0.18385 90 12.805 0 0.28074 91 12.749 0 1.2808 92 12.792 0 0.65229 93 12.74 0 0.77757 94 12.601 0 2.3625 95 12.872 0 2.3161 96 12.934 0 2.2109 97 13.326 0 0.56113 98 13.313 0 0.34461 99 13.332 0 0.13151 100 12.923 0 2.188 101 12.566 0 2.8739 102 12.172 0 2.3532 103 13.023 0 1.0032 104 13.716 0 1.8946 105 14.092 0 2.6318 106 14.781 0 1.7969 107 14.094 0 2.687 108 13.155 0 3.0508 109 12.326 0 1.9903 110 12.365 0 1.8665 111 12.226 0 2.3733 112 12.337 0 1.9527 113 12.716 0 1.0331 114 12.342 0 1.7656 115 12.113 0 1.5681 116 12.002 0 1.6483 117 11.933 0 2.8145 118 12.12 0 2.9118 119 12.744 0 2.3853 120 13.277 0 1.4923 121 13.588 0 2.2715 122 13.992 0 3.0548 123 14.614 0 2.9622 124 15.136 0 2.4579 125 15.482 0 2.3622 126 15.723 0 1.7133 127 15.766 0 1.3137 128 15.745 0 1.1245 129 15.666 0 1.1492 130 15.559 0 2.0084 131 15.9 0 1.3471 132 16.324 0 2.0885 133 16.74 0 1.9479 134 16.728 0 1.7572 135 16.971 0 1.4399 136 17.115 0 2.0316 137 17.15 0 2.1681 138 17.135 0 2.6879 139 17.883 0 1.6863 140 18.301 0 2.4044 141 19.034 0 1.6201 142 18.904 0 1.3781 143 18.568 0 1.1308 144 17.774 0 0.93309 145 16.988 0 0.81995 146 16.309 0 0.80804 147 16.309 0 0.23426 148 16.301 0 1.2072 149 15.542 0 2.3372 150 15.085 0 0.90939 151 14.314 0 1.0127 152 13.278 0 1.6014 153 13.013 0 1.3883 154 12.734 0 1.3567 155 12.441 0 1.3667 156 12.124 0 1.507 157 11.747 0 2.0595 158 11.575 0 1.3847 159 10.892 0 1.8312 160 10.324 0 2.8727 161 10.074 0 1.5736 162 9.555 0 1.7376 163 9.6231 0 1.1295 164 10.234 0 1.5028 165 10.904 0 1.5248 166 11.645 0 1.2164 167 12.182 0 1.9131 168 12.556 0 2.2892 169 12.303 0 2.2276 170 12.06 0 1.8898 171 11.959 0 1.509 172 12.395 0 1.5439 173 12.753 0 1.7246 174 12.284 0 1.9691 175 11.643 0 2.2186 176 11.101 0 1.5794 177 10.632 0 1.082 178 10.148 0 1.5955 179 11.122 0 1.3377 180 11.481 0 2.4158 181 12.183 0 2.0111 182 12.327 0 2.1784 183 12.259 0 2.7803 184 12.046 0 1.9504 185 12.775 0 1.4305 186 13.372 0 1.8103 187 13.926 0 1.7779 188 13.902 0 2.4809 189 13.675 0 1.9021 190 14.045 0 1.651 191 14.733 0 0.50213 192 14.205 0 1.2621 193 14.399 0 1.4477 194 14.54 0 1.6643 195 14.693 0 1.6705 196 15.526 0 0.43422 197 15.275 0 0.8847 198 15.947 0 0.90376 199 16.811 0 0.92658 200 17.635 0 0.89733 201 18.388 0 0.96787 202 18.993 0 0 203 18.993 0 0 204 18.917 0 0.38836 205 18.744 0 1.9387 206 19.244 0 1.867 207 19.614 0 0.74819 208 19.788 0 0.32937 209 19.755 0 0.49636 210 19.637 0 1.1538 211 19.693 0 0.30296 212 19.132 0 1.0572 213 18.38 0 0.87352 214 18.247 0 1.2023 215 18.912 0 1.5183 216 19.322 0 1.9634 217 20.347 0 1.8298 218 19.865 0 1.1414 219 19.478 0 1.4697 220 19.09 0 1.0403 221 18.46 0 0.71228 222 18.618 0 1.07 223 18.665 0 1.0104 224 18.637 0 1.5764 225 19.424 0 1.8319 226 19.965 0 1.2187 227 19.367 0 1.9349 228 18.641 0 1.848 229 18.063 0 1.5407 230 17.909 0 1.7525 231 17.804 0 1.2937 232 18.291 0 1.2541 233 18.706 0 1.5043 234 19.143 0 1.1242 235 18.976 0 1.9075 236 18.717 0 1.7458 237 18.203 0 1.706 238 17.618 0 1.2996 239 16.861 0 0.90762 240 16.962 0 0.4146 241 16.925 0 1.033 242 16.267 0 1.1785 243 15.638 0 1.0263 244 14.972 0 0.77699 245 14.167 0 0.68613 246 13.426 0 0.90544 247 13.415 0 0.6904 248 13.518 0 0.57856 249 13.464 0 1.2518 250 12.916 0 1.5526 251 12.309 0 1.305 252 11.617 0 1.7048 253 11.26 0 1.8653 254 11.638 0 2.0869 255 12.586 0 2.6006 256 12.738 0 1.9214 257 12.441 0 1.1973 258 12.368 0 1.32 259 12.185 0 2.0755 260 11.924 0 2.0607 261 11.038 0 1.3426 262 10.049 0 1.7066 263 9.4554 0 1.289 264 9.1507 0 1.5599 265 9.462 0 0.97531 266 9.4027 0 2.1603 267 9.9045 0 1.9282 268 10.346 0 1.8673 269 10.823 0 1.81 270 11.042 0 0.92111 271 10.484 0 1.9909 272 9.7815 0 1.9009 273 9.6693 0 2.5436 274 9.7917 0 2.0231 275 9.6246 0 1.8275 276 9.3294 0 2.6316 277 9.3571 0 2.1624 278 9.4894 0 2.7867 279 9.336 0 3.1323 280 9.1052 0 3.2604 281 8.9597 0 3.2847 282 9.1904 0 2.6169 283 9.3146 0 2.3054 284 9.8695 0 2.7842 285 10.251 0 3.0768 286 10.66 0 2.4284 287 11.308 0 1.9651 288 11.57 0 2.1735 289 11.651 0 1.9592 290 11.185 0 1.6576 291 11.295 0 1.5818 292 11.508 0 1.5565 293 11.673 0 1.933 294 12.035 0 2.0897 295 12.51 0 1.6697 296 12.945 0 0.45763 297 12.475 0 1.5319 298 11.955 0 1.7628 299 11.58 0 1.4294 300 11.157 0 1.9759 301 10.238 0 2.2431 302 9.3539 0 2.3072 303 8.9078 0 2.1699 304 8.4852 0 1.6766 305 8.2778 0 1.4268 306 8.1054 0 1.7179 307 8.4578 0 1.3132 308 8.3316 0 1.5095 309 8.1833 0 1.618 310 8.0456 0 1.6551 311 8.3325 0 1.1221 312 8.5549 0 1.4485 313 8.8077 0 1.4508 314 8.7 0 1.8689 315 8.5152 0 2.1645 316 8.3439 0 2.4014 317 8.6052 0 2.3575 318 8.7627 0 1.7483 319 8.3726 0 1.655 320 7.9932 0 1.5841 321 7.9448 0 0.77111 322 7.2931 0 2.3982 323 6.2354 0 1.9896 324 5.6878 0 2.224 325 5.3299 0 2.0771 326 4.9907 0 2.3538 327 4.7536 0 2.2048 328 4.7619 0 1.7238 329 4.8929 0 2.1438 330 5.4421 0 0.84026 331 5.4002 0 0.58328 332 6.1905 0 0.54817 333 6.9964 0 0.73161 334 7.6797 0 1.4561 335 8.3917 0 1.2932 336 9.0724 0 1.3733 337 9.8065 0 1.2649 338 10.583 0 1.4862 339 11.31 0 1.8216 340 11.945 0 1.9074 341 12.622 0 2.345 342 13.708 0 2.0608 343 14.021 0 2.2054 344 14.338 0 2.2197 345 14.568 0 1.2762 346 14.639 0 0.86623 347 14.074 0 1.513 348 14.156 0 0.43961 349 13.467 0 1.6157 350 12.629 0 1.3395 351 11.696 0 1.3022 352 10.687 0 1.57 353 9.8062 0 1.1989 354 8.9884 0 1.2561 355 8.3093 0 1.1104 356 7.6632 0 1.3554 357 7.0877 0 0.82891 358 7.212 0 0.83733 359 7.1482 0 0.6989 360 7.0589 0 1.3964 361 7.0443 0 1.7501 362 7.1144 0 1.5754 363 7.2571 0 0.93145 364 7.4172 0 2.6295 365 7.8955 0 2.2808 366 8.2297 0 1.2031 367 8.3579 0 1.5789 368 8.724 0 0.8584 369 9.0062 0 0.82613 370 9.2657 0 0.45691 371 9.1809 0 1.3784 372 8.9655 0 1.6347 373 8.6691 0 2.2031 374 8.8333 0 2.1741 375 9.3899 0 1.21 376 9.9056 0 0.83695 377 10.112 0 0.64207 378 10.092 0 0.87997 379 10.108 0 0.40437 380 9.7684 0 1.6251 381 9.2915 0 1.8363 382 8.7946 0 2.1023 383 8.5436 0 2.0183 384 8.7622 0 1.0219 385 8.9764 0 0.20365 386 8.8801 0 0.98513 387 8.7226 0 1.3903 388 8.6252 0 2.2246 389 8.6958 0 2.6064 390 8.532 0 2.7431 391 8.2963 0 2.3178 392 7.9348 0 2.2568 393 7.8163 0 2.1177 394 7.3102 0 2.7413 395 7.2068 0 2.3801 396 6.7714 0 3.4705 397 6.6277 0 2.0039 398 6.6207 0 1.6378 399 7.0443 0 1.9029 400 7.7749 0 2.5217 401 8.6712 0 2.681 402 9.7023 0 1.8593 403 10.568 0 0.51877 404 10.622 0 0.66075 405 10.557 0 1.0026 406 10.375 0 1.5118 407 10.138 0 1.4345 408 9.5926 0 2.1852 409 8.9043 0 1.7272 410 9.0409 0 1.708 411 9.2561 0 0.6033 412 9.2059 0 1.058 413 9.2009 0 1.2547 414 9.1862 0 0.86874 415 9.0866 0 0.90884 416 9.047 0 0.85055 417 9.116 0 1.1299 418 9.0273 0 1.5779 419 9.5858 0 1.6474 420 10.114 0 1.5834 421 10.604 0 1.7462 422 11.501 0 0 423 11.214 0 0.86492 424 10.908 0 1.4479 425 11.3 0 1.4104 426 11.871 0 0.69692 427 12.059 0 0.69839 428 12.247 0 0 429 11.894 0 1.0559 430 11.518 0 1.3218 431 10.624 0 1.6851 432 10.209 0 1.5061 433 10.339 0 0.15428 434 10.329 0 0.082256 435 10.317 0 0.093716 436 9.7225 0 0.97411 437 9.0947 0 1.0376 438 8.3108 0 1.4434 439 7.5345 0 1.4123 440 7.5637 0 0.096517 441 7.5761 0 0.27108 442 7.5789 0 0.51579 443 7.4744 0 0.95251 444 7.3239 0 0.9854 445 7.1995 0 0.83172 446 6.5924 0 2.5071 447 6.0977 0 1.9567 448 6.0269 0 0.43879 449 5.8834 0 0.64922 450 5.856 0 0.20811 451 5.856 0 0.1949 452 5.5945 0 1.798 453 5.7254 0 1.79 454 5.2403 0 1.9796 455 4.4444 0 2.0185 456 4.0011 0 2.2446 457 4.0679 0 1.7858 458 4.5992 0 1.4072 459 4.5102 0 1.5636 460 4.7095 0 1.4566 461 4.9413 0 1.5009 462 5.4675 0 1.435 463 6.0931 0 0.76045 464 6.0294 0 0.3989 465 5.9788 0 0.28905 466 5.9651 0 0.10422 467 5.121 0 1.0488 468 4.2272 0 0.58038 469 3.2416 0 0.1084 470 2.4495 0 0.73745 471 2.1932 0 1.2267 472 1.3882 0 2.3833 473 0.86027 0 1.9087 474 0.51183 0 1.3653 475 1.5543e-15 0 1.3495