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 0.093298 8 0.011925 0 0.10177 9 0.025196 0 0.22827 10 0.062175 0 0.21998 11 0.097406 0 0.27851 12 0.13749 0 0.20259 13 0.16914 0 0.9301 14 0.40647 0 0.53589 15 0.48724 0 1.8178 16 1.213 0 1.8801 17 2.0948 0 1.9035 18 2.8854 0 1.6145 19 3.6062 0 0.93854 20 3.9007 0 2.2952 21 4.6664 0 2.3355 22 5.6245 0 2.3938 23 6.5485 0 2.5523 24 7.3065 0 1.1393 25 7.4696 0 0.45666 26 7.4841 0 0.29216 27 7.4764 0 1.0092 28 7.6249 0 0.98691 29 7.7213 0 2.064 30 8.0399 0 1.4372 31 8.1686 0 1.072 32 8.2328 0 1.0467 33 8.3765 0 0.87353 34 8.6703 0 1.1376 35 9.6525 0 1.2294 36 10.645 0 1.2722 37 11.592 0 1.339 38 13.289 0 1.5229 39 14.567 0 0.1945 40 14.592 0 0.16747 41 14.617 0 0.77754 42 14.847 0 1.5027 43 14.819 0 1.2661 44 14.827 0 1.0502 45 14.751 0 1.1511 46 14.287 0 1.2939 47 14.272 0 2.1189 48 14.625 0 1.8776 49 14.822 0 2.2041 50 15.394 0 1.8279 51 15.907 0 2.0186 52 16.415 0 2.3213 53 17.008 0 1.6499 54 17.73 0 0.74379 55 17.772 0 0.89567 56 17.815 0 0.50532 57 17.792 0 0.63323 58 17.408 0 1.3641 59 16.944 0 1.4732 60 16.487 0 1.8043 61 16.581 0 2.2741 62 17.034 0 1.8549 63 16.954 0 2.6044 64 16.876 0 2.6672 65 16.74 0 1.9955 66 16.396 0 1.1869 67 16.38 0 0.51155 68 15.977 0 2.8541 69 16.739 0 1.7042 70 17.503 0 1.6836 71 17.902 0 1.1449 72 17.488 0 1.8531 73 17.029 0 1.9541 74 16.546 0 1.7176 75 16.859 0 1.6152 76 17.387 0 1.1913 77 17.95 0 1.2082 78 18.37 0 1.6152 79 18.185 0 1.1294 80 18.721 0 0.9573 81 19.056 0 1.6774 82 19.397 0 1.7178 83 19.96 0 1.4485 84 20.685 0 1.1723 85 21.265 0 0.10191 86 21.235 0 0.46333 87 21.262 0 0.11329 88 21.186 0 0.44048 89 20.544 0 1.4211 90 19.903 0 1.2883 91 19.154 0 1.7104 92 18.457 0 1.5872 93 17.689 0 1.612 94 16.868 0 2.1627 95 17.27 0 1.7307 96 16.563 0 2.1823 97 15.976 0 2.3995 98 15.783 0 2.1128 99 15.179 0 2.2341 100 14.959 0 2.3054 101 14.619 0 1.6869 102 14.286 0 2.063 103 13.817 0 1.993 104 12.963 0 2.6723 105 11.999 0 1.6419 106 12.464 0 0.64728 107 12.572 0 0 108 12.334 0 0.79112 109 12.087 0 1.6115 110 12.332 0 1.6155 111 12.284 0 1.4821 112 11.501 0 1.6371 113 10.441 0 1.7175 114 8.9207 0 2.6712 115 6.8154 0 2.1991 116 5.7416 0 2.2207 117 5.5985 0 1.256 118 5.4847 0 1.086 119 5.5415 0 0.543 120 5.4842 0 1.1983 121 5.4496 0 1.4503 122 5.4734 0 1.534 123 5.5314 0 1.0277 124 5.6013 0 0 125 5.5429 0 0.3777 126 5.327 0 1.8196 127 5.7015 0 1.8011 128 6.2775 0 1.6221 129 7.0111 0 1.4649 130 7.7427 0 1.4285 131 8.3426 0 1.9553 132 8.6079 0 2.2369 133 8.9687 0 1.7654 134 10.016 0 1.5817 135 10.392 0 1.6068 136 10.706 0 1.147 137 10.915 0 0.83271 138 11.038 0 0.66498 139 10.812 0 2.0946 140 10.734 0 1.4947 141 10.572 0 1.1741 142 10.564 0 0.76762 143 10.561 0 1.8995 144 10.92 0 1.6631 145 10.584 0 2.3896 146 10.294 0 1.5195 147 9.6022 0 1.7897 148 9.2417 0 1.3033 149 8.9679 0 1.3688 150 9.0478 0 0.56337 151 9.0871 0 1.3363 152 9.6684 0 1.5793 153 9.8884 0 2.8807 154 10.272 0 2.6691 155 10.244 0 2.2496 156 9.8858 0 2.938 157 10.262 0 2.5826 158 10.816 0 1.6632 159 11.731 0 1.4673 160 12.625 0 1.2917 161 13.359 0 1.2648 162 13.396 0 0.54088 163 13.385 0 0.37337 164 14.307 0 0.48863 165 14.978 0 1.1673 166 15.361 0 2.1229 167 15.728 0 2.2405 168 15.402 0 2.0458 169 15.469 0 1.1268 170 15.523 0 1.2106 171 15.452 0 1.2724 172 15.209 0 1.5533 173 15.682 0 1.6167 174 16.395 0 1.3106 175 17.184 0 1.2588 176 17.785 0 1.4905 177 18.233 0 2.0609 178 18.337 0 2.2492 179 18.783 0 1.0512 180 18.839 0 0.94494 181 18.876 0 0.78978 182 18.849 0 0.95419 183 18.466 0 1.3609 184 17.745 0 1.3872 185 16.946 0 1.0861 186 16.085 0 1.2871 187 15.272 0 1.1641 188 14.362 0 1.4547 189 13.51 0 1.6018 190 13.215 0 2.4446 191 12.984 0 1.9965 192 12.917 0 0.97436 193 12.775 0 1.3107 194 12.648 0 1.639 195 11.839 0 1.3308 196 11.092 0 0.91305 197 10.222 0 0.94279 198 9.2077 0 1.2675 199 9.1883 0 1.2771 200 8.3914 0 1.8769 201 7.4076 0 3.0499 202 6.5963 0 3.1748 203 6.3343 0 2.9104 204 6.6271 0 1.2135 205 7.2029 0 2.0448 206 7.3899 0 1.8024 207 6.9656 0 2.2406 208 6.5663 0 2.6365 209 7.0763 0 2.1184 210 7.7422 0 1.7598 211 8.3838 0 1.6327 212 8.9864 0 0.77417 213 8.9679 0 0.62145 214 8.8829 0 1.9182 215 9.6737 0 1.9195 216 10.348 0 1.4619 217 10.372 0 1.9241 218 10.449 0 1.5511 219 10.352 0 2.4611 220 11.029 0 2.201 221 11.623 0 1.1285 222 11.653 0 0 223 11.621 0 0.2077 224 11.604 0 0.31581 225 10.932 0 1.2924 226 11.189 0 1.5032 227 12.093 0 0.86893 228 12.867 0 1.0484 229 13.474 0 0.59642 230 12.853 0 1.7754 231 12.192 0 1.3995 232 12.891 0 1.5736 233 13.463 0 1.0819 234 12.736 0 1.2495 235 12.982 0 1.2096 236 13.286 0 0.96213 237 13.66 0 0.66791 238 14.243 0 1.3008 239 15.116 0 0.79596 240 14.687 0 1.0881 241 14.85 0 0.81771 242 15.282 0 1.0502 243 16.127 0 0.96507 244 16.524 0 1.5884 245 17.609 0 1.0491 246 18.411 0 1.9238 247 18.837 0 0.94215 248 19.025 0 0.78238 249 19.177 0 0.97745 250 19.362 0 0.60898 251 19.441 0 0.79222 252 19.564 0 0.57202 253 19.654 0 0.72451 254 19.734 0 1.4693 255 20.017 0 1.3037 256 20.18 0 1.7977 257 20.373 0 1.442 258 20.524 0 2.0485 259 20.748 0 2.4 260 21.108 0 1.8074 261 20.7 0 1.2263 262 20.044 0 0.83043 263 19.12 0 1.3252 264 18.455 0 1.3771 265 17.811 0 1.3681 266 17.448 0 1.0388 267 17.311 0 1.8345 268 16.55 0 1.7643 269 16.01 0 0.88048 270 15.343 0 1.0068 271 14.66 0 0.75387 272 13.984 0 0.57611 273 14.246 0 0.21213 274 13.563 0 1.485 275 13.023 0 1.5981 276 13.285 0 0.64214 277 13.083 0 1.4212 278 12.297 0 1.0498 279 11.212 0 1.2509 280 10.483 0 0.64598 281 10.496 0 0.05672 282 11.484 0 0.1475 283 12.463 0 0.30547 284 13.235 0 0.79459 285 13.862 0 0.83163 286 14.683 0 0 287 14.683 0 0 288 14.683 0 0 289 14.683 0 0 290 14.683 0 0 291 14.683 0 0 292 13.862 0 0.93534 293 13.054 0 0.42154 294 12.183 0 0.86214 295 12.108 0 0.74988 296 12.242 0 0.8313 297 12.222 0 0.44996 298 11.607 0 2.1621 299 12.591 0 1.6337 300 13.16 0 2.7595 301 13.945 0 2.3804 302 14.11 0 1.7791 303 13.862 0 2.41 304 13.621 0 1.6926 305 13.964 0 1.5453 306 14.216 0 2.9906 307 14.701 0 3.1903 308 15.732 0 2.1008 309 16.599 0 2.5776 310 17.513 0 1.5426 311 17.927 0 2.5511 312 18.504 0 2.4992 313 18.671 0 2.8882 314 19.067 0 2.3599 315 19.681 0 1.0436 316 19.447 0 1.0887 317 19.236 0 1.5608 318 19.453 0 1.0503 319 19.267 0 1.3117 320 18.865 0 0.94532 321 19.281 0 1.8041 322 19.758 0 2.5626 323 20.674 0 1.4811 324 20.993 0 1.7013 325 21.563 0 1.8112 326 21.989 0 0.96976 327 21.549 0 1.9055 328 21.066 0 1.9935 329 21.279 0 1.7528 330 21.483 0 1.5355 331 21.443 0 2.0433 332 21.643 0 1.9992 333 22.088 0 1.7835 334 22.017 0 2.0028 335 21.589 0 1.8372 336 21.208 0 2.9886 337 21.431 0 2.9571 338 21.493 0 2.7266 339 21.618 0 2.1902 340 21.628 0 1.9257 341 21.39 0 2.5882 342 21.146 0 2.2582 343 20.618 0 2.3392 344 20.887 0 1.8764 345 20.971 0 1.5332 346 20.609 0 1.3968 347 20.067 0 1.024 348 19.436 0 0.98819 349 19.189 0 2.1864 350 19.845 0 1.6268 351 20.984 0 2.4415 352 22.19 0 1.9641 353 22.422 0 1.7032 354 22.126 0 0.82261 355 21.169 0 1.2328 356 21.166 0 1.7042 357 20.338 0 1.4498 358 19.529 0 0.77987 359 18.548 0 1.1799 360 18.215 0 1.9 361 18.052 0 1.6759 362 18.244 0 1.7993 363 18.431 0 1.9451 364 19.072 0 0 365 18.923 0 1.1845 366 18.979 0 2.8097 367 19.276 0 2.8091 368 19.059 0 1.9014 369 19.569 0 1.814 370 19.875 0 1.7628 371 19.756 0 2.3355 372 18.944 0 2.5415 373 19.261 0 2.1014 374 19.524 0 1.4648 375 18.665 0 1.5449 376 17.798 0 2.117 377 18.566 0 1.7494 378 19.493 0 2.0944 379 19.931 0 1.5332 380 20.363 0 1.3586 381 21.276 0 1.0743 382 22.086 0 1.1414 383 22.535 0 1.845 384 22.098 0 1.5706 385 21.41 0 1.0849 386 21.458 0 0.76258 387 21.461 0 0.97095 388 20.703 0 1.146 389 19.852 0 0.94104 390 19.013 0 0.81284 391 18.135 0 0.73547 392 17.655 0 1.2344 393 17.184 0 1.7814 394 16.349 0 1.3373 395 15.563 0 1.0195 396 15.661 0 0.23135 397 15.109 0 1.0348 398 15.168 0 0.94289 399 15.799 0 1.0493 400 15.738 0 0.81527 401 15.627 0 0.87582 402 14.757 0 1.4805 403 14.43 0 2.0529 404 13.917 0 2.3303 405 13.504 0 1.5809 406 13.525 0 0.22811 407 13.502 0 0.28767 408 12.911 0 1.3979 409 11.993 0 1.7352 410 11.031 0 1.3931 411 9.8115 0 2.3026 412 9.4427 0 1.4888 413 9.759 0 0.68611 414 9.8482 0 1.1527 415 10.632 0 0.81174 416 11.446 0 0.60743 417 12.326 0 0.22616 418 12.296 0 0.19438 419 12.19 0 0.58228 420 12.003 0 1.0196 421 11.803 0 0.97757 422 11.711 0 0.9932 423 11.847 0 0.53531 424 11.005 0 0.77936 425 10.158 0 0.47235 426 9.2763 0 0.42652 427 8.37 0 0.39369 428 7.4666 0 0.39807 429 6.6276 0 0.6854 430 6.6725 0 1.2441 431 7.0732 0 1.5809 432 7.4755 0 1.8933 433 7.7799 0 2.0266 434 7.9688 0 1.9254 435 8.0104 0 2.3172 436 7.75 0 1.8289 437 7.2832 0 1.4756 438 6.9571 0 1.3029 439 6.6156 0 1.2154 440 6.6624 0 0.26489 441 6.6635 0 0.80602 442 6.038 0 1.9514 443 5.4386 0 1.7365 444 4.7856 0 1.6225 445 4.121 0 1.438 446 3.9944 0 0.72492 447 3.9285 0 0.39607 448 3.8559 0 0.44296 449 3.7897 0 0.41596 450 3.7227 0 0.41583 451 3.2899 0 1.5463 452 2.7639 0 1.6557 453 2.145 0 1.8329 454 1.404 0 2.0074 455 0.69488 0 1.6978 456 0.13535 0 1.4132 457 1.335e-14 0 0.57193 458 1.335e-14 0 0 459 1.335e-14 0 0