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 9 0 0 0 10 0 0 0.10537 11 0.013853 0 0.1045 12 0.027566 0 0.098636 13 0.040335 0 0 14 0.040335 0 0 15 0.040335 0 0 16 0.040335 0 0.12442 17 0.057365 0 0.30475 18 0.10148 0 0.38899 19 0.16241 0 0.40817 20 0.22789 0 0.47996 21 0.33138 0 0.49539 22 0.43988 0 0.48117 23 0.54376 0 0 24 0.54376 0 1.3621 25 0.89808 0 0.75549 26 1.0812 0 0.73419 27 2.258 0 0.65862 28 3.3366 0 0.64336 29 4.2346 0 1.2321 30 5.5792 0 1.1889 31 6.6986 0 2.0726 32 7.3769 0 2.031 33 8.1435 0 2.0992 34 8.8801 0 2.1882 35 9.4457 0 1.4688 36 9.4953 0 1.6941 37 9.6237 0 2.0783 38 9.8225 0 2.627 39 10.435 0 2.1448 40 10.973 0 2.6027 41 11.643 0 2.1518 42 12.518 0 1.4915 43 13.309 0 1.4077 44 14.864 0 1.6713 45 16.127 0 0.77591 46 16.193 0 2.339 47 16.711 0 2.3361 48 17.765 0 1.9394 49 18.63 0 1.2038 50 19.14 0 0 51 19.129 0 0.64771 52 19.063 0 2.0502 53 19.128 0 1.9836 54 19.612 0 2.7411 55 19.746 0 2.0827 56 19.887 0 2.2224 57 20.467 0 1.916 58 20.8 0 1.0886 59 20.069 0 1.9515 60 19.635 0 1.7994 61 19.236 0 1.4969 62 18.816 0 1.5324 63 18.81 0 2.0588 64 18.46 0 1.821 65 18.188 0 1.7122 66 17.68 0 2.3016 67 17.035 0 2.6145 68 16.667 0 1.9183 69 16.387 0 1.3955 70 15.596 0 2.1666 71 15.071 0 2.8716 72 15.465 0 1.3534 73 15.46 0 1.9145 74 15.532 0 2.7513 75 15.996 0 2.5326 76 15.728 0 2.8278 77 15.477 0 2.5672 78 14.957 0 1.9686 79 14.183 0 1.9938 80 13.47 0 1.5368 81 13.898 0 2.0717 82 14.543 0 0.94348 83 14.893 0 1.4436 84 15.268 0 1.2766 85 15.644 0 1.789 86 16.003 0 1.8015 87 16.163 0 0.86408 88 15.897 0 2.2096 89 16.624 0 2.713 90 17.379 0 2.4797 91 17.977 0 2.6862 92 18.462 0 2.2749 93 18.665 0 2.0889 94 19.114 0 2.0087 95 19.711 0 2.2566 96 20.517 0 1.9484 97 21.236 0 1.2714 98 21.533 0 1.6476 99 21.68 0 0.29467 100 21.319 0 1.9069 101 22.323 0 2.2766 102 23.528 0 1.9925 103 23.902 0 2.1844 104 24.168 0 2.1531 105 23.862 0 1.3427 106 22.946 0 1.6651 107 22.406 0 1.077 108 22.256 0 1.5596 109 21.774 0 1.5673 110 22.04 0 0.64577 111 21.327 0 2.1417 112 21.296 0 1.8455 113 21.283 0 2.1357 114 21.268 0 2.1188 115 21.277 0 1.7673 116 21.121 0 1.892 117 21.344 0 1.3398 118 22.221 0 1.7455 119 22.601 0 2.3448 120 22.711 0 2.3319 121 22.757 0 2.0016 122 21.635 0 1.6318 123 22.434 0 1.6729 124 23.302 0 2.0143 125 23.776 0 2.948 126 23.608 0 2.6732 127 23.914 0 2.6126 128 24.105 0 2.5106 129 24.151 0 2.2004 130 24.086 0 2.451 131 25.152 0 2.7071 132 25.284 0 2.6665 133 24.905 0 2.4243 134 24.162 0 2.3353 135 23.596 0 2.4072 136 23.085 0 2.6731 137 21.887 0 2.0479 138 21.175 0 1.9749 139 20.235 0 3.1728 140 20.469 0 1.2093 141 19.744 0 1.3892 142 18.982 0 1.5601 143 18.107 0 1.3073 144 17.195 0 1.5422 145 17.375 0 2.2258 146 16.847 0 3.3398 147 16.215 0 3.5094 148 15.531 0 2.9567 149 15.197 0 1.7284 150 15.358 0 0.12397 151 15.328 0 1.2763 152 15.342 0 2.6753 153 15.322 0 2.817 154 15.399 0 1.5828 155 15.082 0 2.5272 156 14.76 0 2.7743 157 14.575 0 2.1119 158 14.548 0 1.0133 159 14.081 0 1.7406 160 14.427 0 1.547 161 14.584 0 1.8783 162 14.456 0 2.2123 163 14.047 0 2.6192 164 13.49 0 1.6386 165 12.803 0 1.3054 166 12.999 0 0.74644 167 13.016 0 0.11972 168 12.963 0 0.96517 169 13.068 0 0.54686 170 12.75 0 1.9728 171 12.033 0 1.8402 172 11.304 0 1.7512 173 10.786 0 1.2704 174 10.45 0 1.2697 175 10.137 0 1.565 176 10.586 0 0.39552 177 10.586 0 0.11299 178 10.249 0 2.7011 179 10.72 0 3.0938 180 11.339 0 2.421 181 11.987 0 1.972 182 11.933 0 2.1123 183 11.767 0 2.7226 184 11.794 0 3.2499 185 12.378 0 1.6038 186 12.38 0 1.0767 187 11.917 0 3.3407 188 12.89 0 3.3289 189 13.962 0 1.7787 190 14.208 0 2.7452 191 14.653 0 1.6716 192 14.313 0 2.5248 193 14.569 0 1.0811 194 14.104 0 1.7869 195 13.536 0 2.5877 196 13.676 0 1.7452 197 13.487 0 1.6332 198 12.912 0 1.6864 199 11.961 0 1.2027 200 11.927 0 0.9355 201 11.803 0 0.96983 202 11.812 0 0.23207 203 11.776 0 0.25566 204 11.189 0 2.0598 205 10.748 0 1.5512 206 10.317 0 0.88735 207 11.168 0 1.2272 208 11.425 0 1.3245 209 11.891 0 2.1053 210 11.985 0 2.663 211 12.246 0 3.0064 212 12.605 0 2.7022 213 13.121 0 1.236 214 13.16 0 1.7042 215 13.381 0 1.8702 216 14.177 0 2.0903 217 15.167 0 1.0963 218 15.734 0 0.36464 219 15.723 0 0.173 220 15.723 0 0 221 15.703 0 0.14093 222 15.693 0 0.24468 223 15.717 0 0.11448 224 15.732 0 0.12641 225 15.167 0 1.7039 226 14.916 0 1.5726 227 14.855 0 1.9849 228 14.894 0 1.8651 229 14.9 0 1.7408 230 15.022 0 1.8442 231 15.378 0 1.3205 232 16.452 0 0.93522 233 16.888 0 2.2729 234 17.531 0 2.0234 235 17.497 0 3.3087 236 17.405 0 2.9133 237 17.608 0 1.1722 238 17.336 0 1.0947 239 16.981 0 2.0361 240 16.391 0 3.4417 241 16.552 0 0.87914 242 17.529 0 1.5291 243 17.622 0 2.8308 244 17.927 0 3.1662 245 18.644 0 2.8116 246 19.358 0 2.9544 247 19.593 0 4.1456 248 20.315 0 2.1654 249 20.539 0 0.75794 250 20.122 0 1.7806 251 20.652 0 3.3051 252 21.049 0 1.2634 253 20.676 0 1.2757 254 21.181 0 2.1143 255 22.035 0 1.1032 256 22.363 0 1.9252 257 22.932 0 2.235 258 23.644 0 2.0725 259 24.286 0 0.96544 260 24.654 0 0.15968 261 24.654 0 0.32366 262 24.253 0 1.8023 263 24.078 0 1.6587 264 23.925 0 2.7038 265 24.76 0 3.3238 266 25.386 0 3.281 267 26.902 0 1.9975 268 27.082 0 2.9512 269 28.177 0 1.0356 270 28.368 0 0.87358 271 28.386 0 2.5357 272 28.914 0 1.2006 273 29.185 0 1.4807 274 29.48 0 0.43097 275 29.541 0 1.1757 276 29.786 0 0.81596 277 29.924 0 1.704 278 30.183 0 0.65922 279 29.83 0 2.9862 280 29.689 0 4.4324 281 29.796 0 3.476 282 29.677 0 2.8596 283 29.378 0 2.6061 284 29.137 0 3.421 285 29.148 0 3.4258 286 29.118 0 3.0713 287 28.969 0 3.4401 288 28.712 0 4.1493 289 29.096 0 3.5851 290 29.199 0 2.1001 291 29.264 0 2.0215 292 30.635 0 2.3605 293 31.778 0 2.8749 294 32.531 0 3.2857 295 32.928 0 3.5143 296 33.047 0 3.0785 297 33.016 0 2.6078 298 32.391 0 2.0021 299 32.385 0 1.4358 300 32.309 0 2.0413 301 32.834 0 1.6434 302 32.936 0 2.0465 303 32.502 0 2.7361 304 31.935 0 3.0138 305 31.551 0 3.2125 306 31.359 0 3.6644 307 31.376 0 2.1056 308 30.856 0 1.4649 309 29.601 0 2.1769 310 28.512 0 2.273 311 28.375 0 2.3932 312 28.173 0 2.7448 313 28.518 0 2.1181 314 28.518 0 2.2678 315 28.802 0 1.6345 316 28.393 0 2.5049 317 28.499 0 3.7387 318 28.258 0 3.5966 319 28.571 0 3.5248 320 28.617 0 3.3972 321 28.627 0 2.815 322 28.815 0 1.077 323 28.313 0 2.9089 324 28.427 0 3.9271 325 27.87 0 4.5809 326 27.774 0 3.1085 327 26.871 0 3.3705 328 25.745 0 2.5248 329 25.528 0 1.4134 330 25.632 0 2.3035 331 25.722 0 2.2065 332 25.701 0 0.97663 333 25.695 0 2.5822 334 26.292 0 0.66067 335 26.044 0 1.1358 336 25.649 0 1.8898 337 25.109 0 3.358 338 25.117 0 3.2615 339 25.058 0 3.0925 340 25.203 0 1.3026 341 24.294 0 2.7717 342 23.627 0 2.8623 343 22.948 0 2.563 344 22.391 0 2.8594 345 22.557 0 2.091 346 21.784 0 3.5772 347 21.509 0 3.0822 348 21.817 0 1.6063 349 21.904 0 1.0885 350 21.576 0 1.8959 351 21.657 0 1.8356 352 21.723 0 1.4463 353 22.008 0 1.6884 354 21.528 0 1.4938 355 22.004 0 1.1687 356 22.37 0 0.26701 357 22.407 0 0.34611 358 22.455 0 0 359 22.455 0 0.24229 360 22.148 0 1.6263 361 21.943 0 1.5524 362 22.06 0 0.71289 363 21.467 0 1.8859 364 21.192 0 2.0314 365 21.74 0 1.4327 366 22.364 0 1.6934 367 22.391 0 1.571 368 22.104 0 1.6067 369 22.089 0 1.7987 370 22.336 0 1.178 371 22.458 0 1.5546 372 22.472 0 1.9945 373 22.327 0 1.94 374 22.526 0 1.2065 375 22.93 0 1.3368 376 23.339 0 1.0639 377 23.301 0 1.9596 378 22.664 0 3.1939 379 22.05 0 3.7924 380 21.588 0 3.1432 381 21.858 0 0.75373 382 21.185 0 3.6646 383 20.886 0 3.8119 384 21.744 0 1.685 385 22.023 0 2.013 386 21.276 0 2.8812 387 20.67 0 3.2672 388 21.287 0 1.695 389 21.196 0 2.9446 390 20.864 0 2.4951 391 19.419 0 3.1002 392 19.449 0 3.1457 393 19.588 0 2.6991 394 20.022 0 1.982 395 19.886 0 2.4623 396 18.952 0 2.0817 397 17.554 0 3.0596 398 17.056 0 2.405 399 17.005 0 2.7168 400 17.319 0 0.79339 401 16.576 0 2.1661 402 15.583 0 2.5453 403 14.809 0 1.951 404 14.692 0 2.0448 405 15.305 0 1.4217 406 15.451 0 1.5371 407 15.476 0 1.7414 408 15.461 0 2.0935 409 14.929 0 2.4739 410 14.391 0 1.6362 411 13.475 0 1.6961 412 13.027 0 1.547 413 12.342 0 1.9929 414 11.767 0 2.2625 415 11.277 0 1.6593 416 10.493 0 1.5511 417 9.6005 0 2.4438 418 9.4289 0 1.1502 419 9.4499 0 0.14668 420 9.3731 0 0.48035 421 9.3846 0 0 422 9.3544 0 0.1956 423 9.3544 0 0 424 9.3428 0 0.091495 425 8.6708 0 1.8198 426 8.0596 0 1.7438 427 7.42 0 1.7861 428 6.7691 0 1.4607 429 6.2417 0 0.99784 430 5.9188 0 1.0455 431 6.5643 0 1.3609 432 6.9957 0 1.8434 433 7.3289 0 2.2697 434 7.2611 0 2.1355 435 6.9828 0 1.4206 436 6.576 0 1.786 437 6.3196 0 1.5657 438 6.54 0 0.52775 439 6.6595 0 0.66679 440 6.7105 0 0.63694 441 6.5255 0 0.98269 442 6.1241 0 1.5884 443 5.6623 0 1.7534 444 5.3084 0 1.2914 445 5.3084 0 0.39632 446 5.3867 0 0.36676 447 4.9952 0 1.7763 448 4.4537 0 2.1048 449 3.8246 0 1.8953 450 2.9666 0 2.0482 451 2.858 0 0.49559 452 2.6141 0 1.029 453 2.5233 0 0.52703 454 2.1361 0 1.1911 455 1.5845 0 1.2957 456 0.87797 0 1.2282 457 5.4401e-15 0 0.53517 458 5.4401e-15 0 0