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 0.09963 9 0.012928 0 0 10 0.012928 0 0.41227 11 0.095814 0 1.0427 12 0.35326 0 1.0648 13 0.58978 0 1.1766 14 0.8717 0 1.6766 15 1.6997 0 1.2873 16 2.6653 0 1.2514 17 3.6446 0 1.4326 18 4.5716 0 1.548 19 5.4465 0 1.596 20 6.2649 0 1.3818 21 6.9829 0 1.414 22 7.4846 0 1.1618 23 7.7548 0 1.7424 24 8.62 0 1.8135 25 9.5793 0 1.7953 26 10.542 0 1.9964 27 11.483 0 1.365 28 12.124 0 0 29 12.124 0 0.52169 30 13.263 0 0.45746 31 14.34 0 0.74722 32 15.503 0 0.73561 33 16.613 0 0.64824 34 17.772 0 1.4781 35 19.185 0 1.3027 36 20.456 0 0.97478 37 21.208 0 1.2972 38 22.141 0 1.1044 39 23.019 0 1.6375 40 23.87 0 0.085885 41 23.881 0 0.9486 42 24.048 0 0 43 24.048 0 0.44453 44 23.465 0 1.0283 45 22.748 0 0.85191 46 22.463 0 0.83427 47 22.255 0 0.83035 48 21.923 0 0.70641 49 21.553 0 0.56018 50 20.657 0 0.64971 51 20.213 0 0.618 52 19.726 0 1.0533 53 19.356 0 1.0764 54 18.966 0 1.458 55 19.751 0 1.119 56 19.986 0 0.8778 57 19.367 0 2.4502 58 18.922 0 2.6978 59 18.471 0 2.8211 60 18.013 0 2.8643 61 17.573 0 2.2277 62 17.897 0 1.0762 63 17.554 0 2.0345 64 16.738 0 1.8105 65 16.009 0 1.8913 66 15.316 0 2.0645 67 14.633 0 2.0497 68 13.908 0 2.4178 69 13.629 0 2.3905 70 13.504 0 1.7083 71 13.766 0 1.6143 72 13.842 0 1.3829 73 13.31 0 1.9651 74 12.922 0 1.9613 75 12.949 0 1.835 76 12.977 0 2.0264 77 12.958 0 1.9786 78 12.406 0 2.2351 79 12.333 0 1.6522 80 12.287 0 1.7494 81 12.201 0 1.8421 82 12.065 0 1.7815 83 12.127 0 0.99891 84 12.088 0 1.5562 85 12.065 0 1.9346 86 11.786 0 1.3238 87 11.353 0 1.3655 88 10.995 0 1.0769 89 10.978 0 0.22828 90 10.867 0 1.57 91 10.969 0 2.0625 92 11.176 0 1.6859 93 10.734 0 2.2387 94 10.284 0 2.306 95 10.585 0 2.4874 96 10.51 0 2.4314 97 10.342 0 2.3704 98 10.055 0 2.1914 99 9.9272 0 1.8287 100 9.4399 0 2.3272 101 8.8186 0 1.7788 102 8.8609 0 0.62097 103 8.5369 0 1.7001 104 8.5826 0 2.0995 105 8.5089 0 2.5962 106 8.2875 0 2.6027 107 8.4296 0 0.30865 108 8.4514 0 1.4589 109 9.0783 0 1.1763 110 10.513 0 1.3904 111 11.737 0 1.7462 112 12.876 0 2.632 113 14.08 0 2.8624 114 14.61 0 2.7524 115 15.374 0 2.4592 116 16.208 0 2.5935 117 17.097 0 2.296 118 17.566 0 2.3016 119 17.396 0 2.7906 120 18.352 0 1.4744 121 18.796 0 2.2205 122 19.533 0 0.41368 123 19.595 0 0 124 19.578 0 2.078 125 20.067 0 1.0525 126 20.293 0 2.1017 127 20.575 0 2.4815 128 20.821 0 2.6549 129 21.067 0 3.1585 130 21.133 0 2.4575 131 20.926 0 2.3309 132 20.641 0 2.3367 133 20.987 0 2.4559 134 20.781 0 3.1589 135 20.509 0 3.2207 136 20.178 0 2.649 137 20.137 0 2.6585 138 20.142 0 2.6017 139 20.087 0 2.0173 140 19.595 0 2.0173 141 19.053 0 1.8961 142 18.414 0 1.8835 143 17.576 0 1.9675 144 16.939 0 1.734 145 16.58 0 2.2528 146 16.027 0 2.6116 147 15.446 0 2.6119 148 15.669 0 1.0334 149 15.487 0 2.3984 150 15.804 0 2.0943 151 15.415 0 2.8282 152 14.841 0 2.2008 153 13.602 0 2.7891 154 12.791 0 2.6659 155 12.091 0 2.258 156 12.377 0 0.82416 157 12.452 0 0.36653 158 12.438 0 0.97463 159 12.537 0 0.24046 160 12.515 0 1.2238 161 12.668 0 2.4238 162 12.951 0 2.5643 163 13.193 0 1.1685 164 12.914 0 1.395 165 12.596 0 1.4566 166 12.635 0 2.6437 167 12.823 0 3.0007 168 13.312 0 2.7205 169 13.357 0 2.0085 170 13.421 0 1.6229 171 13.633 0 2.5681 172 14.348 0 2.8017 173 15.245 0 2.9219 174 16.065 0 3.2856 175 16.795 0 2.8156 176 17.168 0 2.8436 177 17.312 0 3.2914 178 18.1 0 2.6211 179 18.223 0 2.3458 180 18.322 0 2.3259 181 18.464 0 2.9264 182 19.313 0 2.4937 183 20.054 0 2.9681 184 20.609 0 3.4949 185 20.932 0 2.8534 186 20.82 0 2.2835 187 20.563 0 2.3202 188 20.754 0 2.336 189 20.738 0 2.6049 190 21.25 0 2.1995 191 21.306 0 2.3147 192 21.304 0 2.5424 193 21.672 0 2.1978 194 21.434 0 2.4639 195 21.125 0 2.4901 196 20.788 0 2.1617 197 20.873 0 0.81871 198 20.962 0 0.17536 199 20.852 0 0.66431 200 20.522 0 1.2494 201 20.043 0 1.7947 202 19.559 0 1.8242 203 19.145 0 1.5768 204 19.004 0 0.61178 205 18.341 0 1.5657 206 17.572 0 1.8822 207 17.156 0 1.681 208 16.603 0 2.0035 209 16.043 0 1.9418 210 16.561 0 0.8025 211 16.836 0 1.3152 212 16.986 0 2.5563 213 16.703 0 2.0101 214 15.462 0 2.5861 215 15.199 0 2.0421 216 15.821 0 1.9666 217 15.933 0 1.5493 218 16.553 0 2.112 219 16.992 0 2.5709 220 17.527 0 2.1064 221 17.704 0 2.8793 222 18.242 0 2.422 223 18.392 0 3.0407 224 18.31 0 2.4041 225 18.09 0 2.1126 226 17.733 0 2.4014 227 18.166 0 1.626 228 18.783 0 1.789 229 19.334 0 1.7472 230 19.566 0 1.4772 231 20.351 0 1.4927 232 21.047 0 1.266 233 21.631 0 0.47255 234 21.682 0 1.2039 235 21.887 0 1.455 236 22.432 0 1.4098 237 23.003 0 1.5081 238 23.618 0 0.67983 239 23.773 0 0.5894 240 23.893 0 1.4047 241 24.216 0 0.81969 242 24.308 0 1.0989 243 24.251 0 1.4502 244 23.62 0 1.8462 245 22.792 0 1.8772 246 22.006 0 1.7984 247 21.745 0 2.9852 248 21.407 0 2.8026 249 21.125 0 1.6107 250 20.058 0 2.7132 251 19.686 0 2.2323 252 19.175 0 2.1944 253 18.832 0 2.0899 254 18.358 0 2.5768 255 17.892 0 2.1216 256 17.139 0 2.5553 257 17.216 0 1.7339 258 17.595 0 2.2999 259 17.757 0 1.346 260 16.953 0 2.8847 261 17.457 0 1.7602 262 17.395 0 3.3915 263 17.562 0 3.1035 264 17.773 0 2.9782 265 17.872 0 3.5112 266 19.569 0 2.1015 267 19.895 0 2.3212 268 20.095 0 2.2322 269 20.506 0 1.8689 270 20.631 0 2.5722 271 20.862 0 1.6856 272 20.694 0 1.5317 273 21.381 0 1.3523 274 22.138 0 1.2312 275 22.855 0 1.2761 276 23.541 0 1.0781 277 24.206 0 1.1742 278 24.851 0 0.35475 279 24.892 0 1.3038 280 24.821 0 1.8929 281 24.67 0 1.8554 282 24.474 0 1.2798 283 24.541 0 1.8078 284 25.032 0 2.0963 285 25.841 0 2.0894 286 26.473 0 2.3588 287 26.971 0 2.1559 288 26.776 0 1.981 289 26.477 0 1.9739 290 26.161 0 1.8392 291 25.861 0 1.8117 292 25.619 0 1.1894 293 24.983 0 1.5339 294 24.084 0 1.9179 295 23.407 0 1.5653 296 22.78 0 1.489 297 22.287 0 1.215 298 22.755 0 1.4506 299 22.836 0 2.7104 300 23.239 0 3.2859 301 24.072 0 2.7923 302 24.009 0 1.5052 303 23.806 0 3.0765 304 23.754 0 2.363 305 23.632 0 2.591 306 23.976 0 1.8817 307 24.825 0 2.0065 308 25.604 0 1.9779 309 26.068 0 2.1951 310 26.44 0 2.5726 311 26.737 0 2.4703 312 27.06 0 2.3296 313 27.128 0 1.6988 314 26.865 0 2.9704 315 26.767 0 2.6955 316 26.409 0 1.9242 317 25.921 0 2.0336 318 26.363 0 2.0966 319 26.66 0 2.3185 320 26.833 0 1.9693 321 26.065 0 1.9968 322 26.158 0 1.8202 323 26.713 0 1.3293 324 27.306 0 1.3837 325 27.52 0 2.3864 326 27.798 0 2.7462 327 28.317 0 2.0947 328 28.046 0 2.1343 329 28.157 0 1.1207 330 28.21 0 1.3885 331 27.434 0 3.6692 332 27.052 0 3.4424 333 27.032 0 1.195 334 26.872 0 2.3588 335 27.322 0 0.37027 336 26.802 0 2.2854 337 26.572 0 2.1702 338 26.989 0 2.078 339 27.665 0 1.6336 340 27.622 0 2.5075 341 27.577 0 2.6478 342 27.891 0 1.8104 343 27.79 0 1.9214 344 26.951 0 1.5457 345 26.159 0 2.1664 346 25.831 0 2.1263 347 25.716 0 1.4387 348 25.162 0 1.5709 349 24.375 0 1.7242 350 23.108 0 1.9725 351 21.785 0 2.6978 352 21.875 0 2.2597 353 21.606 0 1.8923 354 20.595 0 2.4777 355 20.35 0 1.7425 356 19.464 0 3.0689 357 19.15 0 2.5137 358 18.331 0 2.3746 359 17.49 0 1.9721 360 17.149 0 1.9108 361 17.647 0 2.3188 362 18.064 0 3.0219 363 19.034 0 3.6023 364 19.655 0 3.8188 365 20.361 0 2.4984 366 20.785 0 2.9372 367 20.812 0 2.5753 368 20.935 0 2.7878 369 20.631 0 2.373 370 20.083 0 1.9769 371 19.268 0 2.1824 372 18.458 0 1.9544 373 17.63 0 2.1304 374 16.863 0 2.4045 375 17.443 0 1.1657 376 17.047 0 1.6767 377 16.66 0 3.3864 378 16.477 0 3.7947 379 16.416 0 3.3792 380 16.433 0 3.0208 381 16.405 0 2.3899 382 16.125 0 2.0413 383 16.437 0 2.3095 384 16.83 0 1.3239 385 16.761 0 2.2037 386 17.463 0 1.7224 387 18.003 0 1.5377 388 18.423 0 2.2856 389 18.946 0 1.6306 390 19.374 0 1.4386 391 19.645 0 2.2437 392 20.178 0 1.8598 393 20.572 0 1.7734 394 20.766 0 1.4452 395 20.653 0 1.3921 396 20.849 0 1.2037 397 20.898 0 2.363 398 21.076 0 2.0256 399 21.118 0 1.4829 400 20.979 0 1.9402 401 20.986 0 0.73581 402 20.809 0 1.0733 403 20.715 0 0.5429 404 20.077 0 2.322 405 19.745 0 2.6079 406 19.553 0 2.0949 407 19.067 0 2.0284 408 18.937 0 1.7724 409 18.87 0 1.8805 410 18.471 0 2.5685 411 18.048 0 2.6327 412 17.962 0 1.6114 413 17.728 0 1.4679 414 17.495 0 1.3045 415 17.374 0 0.68458 416 16.612 0 2.8381 417 15.868 0 2.7856 418 15.267 0 2.1401 419 14.553 0 1.8254 420 14.109 0 2.2477 421 13.263 0 2.1504 422 12.285 0 2.1534 423 11.312 0 2.0592 424 10.773 0 1.0204 425 10.115 0 1.0171 426 9.6153 0 2.5672 427 8.6128 0 2.3579 428 7.4388 0 3.0543 429 6.1927 0 3.1854 430 5.3239 0 2.3223 431 4.87 0 2.2704 432 4.9643 0 2.2467 433 5.0693 0 1.8809 434 5.085 0 1.1808 435 4.9778 0 0.99691 436 4.9959 0 0.53268 437 4.766 0 1.5501 438 4.2742 0 2.4628 439 3.5965 0 3.1403 440 2.9611 0 2.9287 441 2.7002 0 2.9692 442 2.7075 0 2.456 443 3.0883 0 1.9263 444 3.4752 0 1.8786 445 3.8325 0 1.7018 446 4.113 0 1.6864 447 4.3273 0 1.6998 448 4.4869 0 0.86615 449 4.4156 0 0.44157 450 4.4156 0 0 451 4.3953 0 0.14284 452 4.3704 0 0.16847 453 4.3704 0 0 454 4.0435 0 0.91167 455 3.638 0 0.97408 456 3.1753 0 0.99598 457 2.6064 0 1.1795 458 1.9248 0 1.1812 459 1.0845 0 0.98464 460 0.44591 0 1.3113 461 2.7367e-14 0 1.2995 462 2.7367e-14 0 0