1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.6875 7 0.13238 0 0.92935 8 1.0535 0 1.2225 9 1.9114 0 1.1542 10 2.6338 0 1.2823 11 3.2905 0 1.2007 12 4.2057 0 1.4314 13 4.6486 0 1.6447 14 5.2608 0 1.6917 15 6.105 0 1.726 16 6.8526 0 1.8821 17 7.7512 0 2.1885 18 8.4405 0 1.0704 19 8.6931 0 0.99974 20 9.1835 0 0.99878 21 9.6629 0 1.4224 22 10.248 0 1.5651 23 11.196 0 0.57918 24 12.195 0 0.61465 25 13.187 0 0.55455 26 14.185 0 0.71574 27 15.154 0 0.84599 28 16.089 0 0.93789 29 16.993 0 1.0273 30 17.86 0 1.0936 31 18.692 0 1.5975 32 19.764 0 1.1777 33 20.574 0 2.3458 34 21.996 0 1.9064 35 22.917 0 1.757 36 23.389 0 1.6398 37 24.453 0 1.0261 38 24.813 0 1.8963 39 25.434 0 2.1281 40 25.653 0 2.2322 41 26.005 0 1.8754 42 26.541 0 1.7086 43 26.554 0 1.8472 44 26.492 0 1.8043 45 26.365 0 1.239 46 25.664 0 1.6099 47 25.271 0 1.3212 48 24.782 0 1.5626 49 24.328 0 1.5202 50 23.848 0 0.78223 51 23.09 0 0.86836 52 22.583 0 1.2459 53 22.556 0 0.22863 54 22.353 0 0.72868 55 21.758 0 1.9158 56 20.973 0 2.7205 57 20.341 0 2.6414 58 20.079 0 2.292 59 20.347 0 1.2942 60 20.303 0 3.0727 61 19.808 0 3.3468 62 19.207 0 3.105 63 18.719 0 1.5608 64 18.06 0 1.4068 65 18.312 0 1.3387 66 18.406 0 1.3569 67 18.199 0 2.1343 68 18.882 0 2.5418 69 19.591 0 2.3769 70 20.429 0 1.3089 71 20.322 0 1.647 72 20.677 0 1.7898 73 21.041 0 1.5671 74 21.182 0 1.3874 75 20.622 0 2.1631 76 20.229 0 2.5616 77 19.771 0 2.5793 78 19.569 0 2.7153 79 18.572 0 3.561 80 17.342 0 2.847 81 16.69 0 2.4636 82 16.979 0 1.1899 83 17.26 0 2.349 84 17.701 0 1.8442 85 17.403 0 2.2631 86 17.291 0 2.5183 87 17.108 0 2.4103 88 16.708 0 2.1956 89 16.095 0 1.7974 90 15.626 0 1.1709 91 15.115 0 1.2109 92 14.771 0 1.4485 93 13.939 0 2.8552 94 13.582 0 1.9625 95 12.978 0 2.1809 96 12.074 0 3.0659 97 10.806 0 3.6311 98 9.9231 0 3.3679 99 9.5116 0 2.4616 100 9.2481 0 1.432 101 8.8863 0 1.5611 102 7.8659 0 2.1302 103 8.0819 0 2.0897 104 8.3971 0 1.5486 105 8.9695 0 0.81405 106 8.9983 0 0.88721 107 8.5037 0 1.7189 108 7.8906 0 2.0154 109 8.2365 0 1.9512 110 9.1275 0 1.3683 111 8.9888 0 2.4986 112 9.2709 0 2.6572 113 9.5584 0 2.0925 114 10.651 0 1.5027 115 11.564 0 1.711 116 11.991 0 2.1726 117 13.297 0 1.3171 118 13.975 0 0.69467 119 14.093 0 1.357 120 14.66 0 1.7497 121 15.34 0 2.2302 122 16.043 0 1.0402 123 16.212 0 0.93236 124 16.56 0 1.2518 125 17.024 0 1.6563 126 17.564 0 1.6571 127 17.895 0 1.5017 128 17.794 0 2.5892 129 18.223 0 2.1526 130 18.473 0 2.5951 131 19.135 0 2.1034 132 19.732 0 1.9727 133 20.081 0 1.4525 134 20.092 0 1.5202 135 19.636 0 1.5981 136 19.06 0 1.4799 137 18.369 0 2.4812 138 18.305 0 2.4823 139 18.219 0 2.1376 140 18.048 0 1.5674 141 17.337 0 2.0525 142 16.754 0 1.4514 143 16.711 0 2.1682 144 16.813 0 0.66521 145 16.798 0 0.48099 146 16.276 0 1.1872 147 15.603 0 1.0827 148 14.845 0 0.96611 149 14.84 0 0.14427 150 14.84 0 0.30446 151 14.859 0 0.2327 152 14.761 0 0.57186 153 14.701 0 0.42145 154 14.38 0 1.5188 155 14.066 0 1.3026 156 13.484 0 1.8796 157 13.084 0 1.5445 158 12.55 0 2.3247 159 12.497 0 1.5422 160 11.923 0 2.7113 161 11.666 0 3.8949 162 11.978 0 4.0548 163 12.196 0 3.3627 164 12.635 0 2.8288 165 12.342 0 2.7552 166 11.901 0 3.9036 167 12.083 0 2.2611 168 11.942 0 2.7056 169 12.205 0 1.9446 170 11.91 0 2.8063 171 11.56 0 2.7332 172 11.164 0 2.2042 173 11.527 0 0.86225 174 12.405 0 0.38343 175 12.903 0 0.80666 176 13.36 0 0.68055 177 13.74 0 1.0186 178 14.582 0 0.95238 179 14.705 0 1.576 180 14.007 0 0.78713 181 14.172 0 0.71038 182 14.207 0 0.88787 183 14.157 0 0.68591 184 13.198 0 0.97283 185 12.339 0 0.63597 186 11.448 0 0.63996 187 10.649 0 0.71142 188 9.8487 0 0.55325 189 9.0771 0 0.28207 190 8.3493 0 1.1189 191 8.2611 0 0.74432 192 8.1599 0 1.1556 193 7.8824 0 1.7697 194 7.6058 0 1.6141 195 7.4621 0 0.87713 196 7.4034 0 0.43246 197 7.2911 0 0.82441 198 7.2089 0 0.84271 199 7.1967 0 1.7202 200 7.709 0 1.8469 201 7.9391 0 2.7277 202 8.3742 0 2.3398 203 8.7799 0 1.8016 204 8.7357 0 3.1198 205 9.1377 0 1.0436 206 8.9702 0 2.0274 207 8.8064 0 2.2248 208 8.7686 0 1.8293 209 8.6201 0 1.6191 210 8.263 0 2.441 211 8.3665 0 2.4286 212 8.6926 0 1.8072 213 8.9872 0 2.5059 214 9.6618 0 1.9098 215 10.164 0 1.9903 216 10.569 0 1.7857 217 10.846 0 2.11 218 10.889 0 2.0187 219 10.791 0 1.6962 220 10.674 0 1.6641 221 11.073 0 0.19299 222 10.907 0 0.64727 223 10.907 0 0 224 10.685 0 1.186 225 10.581 0 0.87687 226 10.007 0 1.8105 227 9.4931 0 1.7637 228 8.4738 0 2.1252 229 7.3401 0 2.4075 230 6.753 0 2.0598 231 6.2706 0 2.2283 232 6.349 0 0.14363 233 6.3268 0 0.41043 234 6.3186 0 1.2051 235 6.6686 0 1.0937 236 7.0312 0 1.3685 237 7.3794 0 1.6929 238 7.8536 0 1.3617 239 8.0774 0 1.769 240 8.1484 0 2.0233 241 8.5525 0 1.8659 242 8.8455 0 2.348 243 9.4677 0 1.0057 244 9.5348 0 0.089428 245 9.4718 0 1.0386 246 9.6244 0 0.43866 247 9.7022 0 0.28752 248 9.2313 0 1.5943 249 9.1653 0 2.1782 250 9.2375 0 2.3244 251 9.58 0 2.434 252 9.6603 0 2.932 253 9.7086 0 3.1578 254 9.6305 0 2.9135 255 9.5257 0 2.7949 256 9.3753 0 2.6352 257 9.4832 0 1.174 258 9.6677 0 2.0001 259 10.176 0 1.7672 260 10.167 0 2.6092 261 9.9066 0 2.5359 262 9.6248 0 1.8639 263 9.0691 0 2.2077 264 8.8317 0 2.186 265 8.6366 0 2.1761 266 8.7822 0 1.1848 267 8.6609 0 1.5585 268 8.5467 0 2.0391 269 8.4871 0 2.8473 270 9.0249 0 2.2451 271 9.6259 0 2.087 272 10.127 0 1.8549 273 10.527 0 1.1529 274 10.576 0 2.7232 275 11.133 0 2.5315 276 11.558 0 2.4009 277 11.928 0 1.9253 278 11.896 0 1.4585 279 12.429 0 1.791 280 13.043 0 1.7848 281 13.161 0 1.5852 282 13.626 0 2.5581 283 14.028 0 3.1328 284 14.397 0 2.9289 285 14.811 0 1.9105 286 15.088 0 2.4144 287 15.269 0 2.4685 288 15.547 0 2.4424 289 15.689 0 2.1775 290 16.069 0 1.046 291 16.442 0 1.0506 292 16.839 0 0.95199 293 17.037 0 1.6677 294 17.181 0 0.88383 295 16.996 0 1.9982 296 17.62 0 1.7116 297 17.69 0 2.101 298 18.132 0 2.1178 299 18.183 0 2.3517 300 17.795 0 2.4622 301 17.746 0 1.7997 302 17.555 0 1.9433 303 17.274 0 2.0277 304 17.187 0 2.0712 305 17.034 0 1.5479 306 16.47 0 2.3817 307 16.007 0 2.97 308 15.434 0 3.2048 309 16.08 0 2.6663 310 16.687 0 1.8193 311 16.666 0 1.8576 312 16.52 0 2.0941 313 15.698 0 3.2275 314 16.625 0 2.4133 315 17.904 0 0.72965 316 18.298 0 2.0092 317 18.963 0 2.1588 318 19.461 0 2.3046 319 19.392 0 1.7886 320 19.125 0 1.6049 321 19.177 0 1.8089 322 18.75 0 2.3419 323 18.32 0 2.0666 324 18.891 0 2.3301 325 19.384 0 2.4619 326 20.097 0 1.8581 327 20.585 0 2.2396 328 20.619 0 3.053 329 20.96 0 2.2152 330 21.459 0 1.7324 331 21.658 0 2.1422 332 21.605 0 2.4901 333 21.415 0 2.8342 334 21.346 0 2.2295 335 21.303 0 1.9651 336 21.151 0 2.3072 337 21.059 0 2.0597 338 21.122 0 1.009 339 21.04 0 1.0828 340 20.813 0 1.7359 341 21.374 0 1.9005 342 21.785 0 2.8249 343 21.919 0 3.4885 344 21.936 0 3.7803 345 21.998 0 3.1794 346 22.033 0 2.8174 347 21.415 0 3.1203 348 20.884 0 3.106 349 20.632 0 3.6874 350 21.425 0 2.207 351 21.767 0 3.1913 352 21.626 0 2.985 353 21.223 0 3.1187 354 20.683 0 3.1135 355 20.546 0 1.7689 356 20.091 0 1.8811 357 20.284 0 1.4397 358 20.86 0 1.3686 359 21.113 0 1.6216 360 21.047 0 2.1586 361 20.235 0 2.4297 362 19.747 0 2.0311 363 19.03 0 2.1233 364 17.704 0 2.685 365 16.95 0 1.199 366 16.669 0 2.1311 367 16.171 0 2.5516 368 16.166 0 3.3001 369 15.88 0 2.4853 370 14.953 0 1.408 371 15.609 0 1.1923 372 16.106 0 1.5804 373 16.608 0 1.6511 374 17.192 0 0.84834 375 17.194 0 1.4378 376 17.279 0 1.4512 377 17.407 0 0.25021 378 17.345 0 0.988 379 17.402 0 0.88861 380 17.412 0 0.43487 381 16.69 0 1.2992 382 15.679 0 1.8114 383 15.125 0 1.3973 384 14.359 0 2.306 385 14.289 0 2.5349 386 14.106 0 1.8596 387 13.828 0 1.8749 388 13.795 0 0.82192 389 13.35 0 1.6637 390 12.687 0 2.0264 391 11.964 0 1.9996 392 11.361 0 1.5835 393 10.538 0 1.7622 394 9.9122 0 1.9895 395 9.985 0 1.8196 396 9.896 0 1.6488 397 9.7309 0 1.5641 398 9.5112 0 1.2344 399 8.9187 0 1.4592 400 8.3222 0 1.5992 401 7.9817 0 1.4543 402 7.714 0 1.3165 403 7.6936 0 0.90072 404 7.198 0 1.748 405 6.6269 0 1.3426 406 5.6958 0 2.1985 407 5.0562 0 2.4512 408 5.3954 0 2.1609 409 5.7916 0 2.0117 410 6.1202 0 1.7244 411 6.7091 0 0.71472 412 6.7239 0 0.7685 413 6.7779 0 0.88186 414 6.8149 0 1.7732 415 6.7139 0 2.5174 416 7.0106 0 2.2762 417 7.1161 0 2.9994 418 7.1993 0 2.2574 419 7.2667 0 2.0582 420 8.1223 0 1.4583 421 9.094 0 1.4622 422 9.9672 0 0.42907 423 9.9821 0 0.99351 424 10.002 0 1.5851 425 10.165 0 1.1265 426 9.957 0 2.3163 427 9.6729 0 3.5548 428 9.9959 0 3.2268 429 10.248 0 2.6113 430 10.316 0 1.8662 431 10.922 0 1.7046 432 11.386 0 2.4785 433 11.899 0 1.9146 434 12.471 0 1.2106 435 12.413 0 0.69396 436 12.229 0 1.634 437 12.461 0 1.7952 438 12.632 0 1.8964 439 12.372 0 1.8345 440 12.146 0 1.5956 441 11.943 0 1.0456 442 11.595 0 1.3201 443 11.295 0 1.1157 444 11.211 0 0.46227 445 11.049 0 0.84853 446 10.316 0 1.7525 447 9.4487 0 2.1184 448 9.2206 0 1.1476 449 9.1293 0 0.49717 450 8.4653 0 0.92088 451 7.7682 0 0.88486 452 7.0572 0 0.86744 453 6.3769 0 0.99885 454 6.2552 0 0.59893 455 5.7471 0 1.4639 456 5.3301 0 1.1453 457 5.2248 0 0.64896 458 5.1038 0 0.71983 459 4.9572 0 0.88294 460 4.8617 0 0.54574 461 4.044 0 1.6894 462 3.1975 0 1.3736 463 2.3896 0 0.98316 464 2.3896 0 0.4525 465 2.0728 0 1.4957 466 1.7011 0 1.676 467 1.3592 0 1.2381 468 0.98893 0 0.98207 469 0.97341 0 0.11552 470 0.95486 0 0.13322 471 0.93322 0 0.15054 472 0.88451 0 0.32957 473 0.69611 0 1.0484 474 0.34481 0 1.781 475 2.9088e-14 0 1.7659 476 2.9088e-14 0 0