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 0.16447 9 0.024211 0 0 10 0.024211 0 0.19247 11 0.05383 0 0.98345 12 0.26436 0 1.2489 13 1.2214 0 1.6561 14 1.6737 0 0.75076 15 1.8293 0 0 16 1.8293 0 1.3546 17 2.4498 0 1.7535 18 3.2387 0 2.0269 19 4.0378 0 2.1592 20 4.8078 0 2.0258 21 5.4488 0 1.2888 22 5.6292 0 0.50187 23 5.7191 0 0.57016 24 5.3219 0 1.5903 25 4.9163 0 1.5815 26 4.4798 0 1.5715 27 4.4844 0 1.4451 28 4.6522 0 1.4677 29 5.3063 0 1.1896 30 5.8076 0 1.2511 31 6.2766 0 1.4033 32 6.6667 0 1.7712 33 7.0269 0 2.2533 34 7.4724 0 2.6035 35 8.0191 0 2.4697 36 8.4956 0 2.1622 37 8.9274 0 0.6891 38 9.0355 0 1.2217 39 9.8939 0 2.0708 40 10.156 0 2.3052 41 11.279 0 2.2531 42 12.379 0 2.1621 43 13.569 0 1.4555 44 14.489 0 1.4059 45 15.231 0 1.838 46 16.082 0 1.7321 47 16.869 0 0.9964 48 17.334 0 0.91392 49 17.663 0 1.9594 50 18.439 0 2.0296 51 19.197 0 1.4334 52 19.599 0 1.5808 53 20.299 0 1.7125 54 20.97 0 1.9331 55 21.598 0 1.3005 56 21.899 0 0.10901 57 21.658 0 1.5431 58 21.708 0 2.137 59 22.081 0 2.2957 60 23.011 0 2.5368 61 23.467 0 2.8354 62 23.6 0 2.3555 63 23.492 0 2.425 64 23.746 0 1.902 65 23.346 0 2.0559 66 22.311 0 3.1882 67 21.786 0 3.4173 68 21.633 0 2.7258 69 22.095 0 0.15071 70 21.527 0 2.0594 71 20.935 0 2.0185 72 20.94 0 2.1041 73 21.25 0 2.1961 74 21.575 0 2.4966 75 21.857 0 2.418 76 22.128 0 2.1692 77 22.429 0 1.3705 78 22.88 0 0.78204 79 23.091 0 1.0891 80 23.12 0 1.613 81 22.626 0 2.1769 82 22.684 0 2.5921 83 22.682 0 2.661 84 22.917 0 2.015 85 23.279 0 1.7106 86 23.165 0 2.0607 87 22.941 0 2.0581 88 22.615 0 1.4062 89 21.669 0 0.9411 90 20.618 0 1.0885 91 19.968 0 1.0899 92 19.245 0 1.1767 93 18.521 0 1.2462 94 18.504 0 1.994 95 18.047 0 2.1335 96 18.289 0 1.7095 97 17.884 0 1.8564 98 17.399 0 1.6816 99 16.863 0 2.0567 100 16.397 0 2.9291 101 16.175 0 2.7413 102 15.944 0 2.0157 103 15.542 0 1.8778 104 15.155 0 1.9028 105 14.761 0 2.5493 106 15.462 0 2.1893 107 15.264 0 2.972 108 15.359 0 2.6425 109 15.249 0 2.9157 110 15.254 0 2.6151 111 15.563 0 2.4905 112 15.993 0 2.7152 113 16.62 0 3.0861 114 17.419 0 2.9755 115 17.797 0 2.7547 116 18.447 0 2.4201 117 18.936 0 2.2285 118 18.834 0 2.9385 119 18.611 0 3.8304 120 18.911 0 3.2292 121 18.74 0 2.7337 122 18.227 0 2.6289 123 18.095 0 2.8006 124 18.61 0 2.7795 125 19.321 0 2.6185 126 19.751 0 2.6073 127 19.698 0 3.0774 128 19.676 0 2.5517 129 19.495 0 1.8509 130 19.042 0 2.2182 131 18.338 0 3.3347 132 18.111 0 3.1562 133 17.752 0 2.761 134 18.231 0 2.8301 135 19.024 0 2.9957 136 19.747 0 2.1856 137 19.622 0 2.5353 138 20.156 0 2.2176 139 21.517 0 1.3862 140 21.989 0 3.4473 141 22.729 0 3.8505 142 23.486 0 3.5575 143 24.558 0 3.81 144 25.729 0 2.8408 145 26.042 0 3.2182 146 27.091 0 1.6844 147 27.97 0 1.595 148 28.602 0 2.8594 149 28.321 0 2.484 150 28.802 0 2.7301 151 30.098 0 2.8199 152 31.235 0 3.104 153 32.168 0 3.2992 154 33.017 0 2.5147 155 33.721 0 1.5334 156 34.169 0 2.1513 157 34.905 0 2.9692 158 35.795 0 2.1969 159 36.265 0 2.4672 160 36.374 0 2.6973 161 36.849 0 2.9002 162 37.452 0 3.116 163 37.763 0 3.0284 164 37.558 0 4.3134 165 38.035 0 2.9559 166 38.026 0 2.8635 167 37.866 0 3.0027 168 37.446 0 2.6087 169 36.678 0 2.276 170 36.084 0 2.3082 171 35.58 0 2.8487 172 35.272 0 2.9515 173 34.497 0 4.2753 174 33.6 0 2.8676 175 32.992 0 3.7761 176 33.236 0 2.7066 177 33.044 0 1.4584 178 32.492 0 1.7165 179 32.176 0 1.3258 180 31.556 0 1.2029 181 30.967 0 1.8478 182 31.025 0 1.9247 183 30.982 0 1.6705 184 30.78 0 0.9898 185 30.313 0 1.3945 186 29.929 0 1.2164 187 30.069 0 1.8559 188 29.487 0 1.1464 189 28.84 0 1.0651 190 28.254 0 1.3916 191 28.201 0 0.53964 192 27.588 0 2.0691 193 27.257 0 1.7613 194 27.306 0 2.0566 195 27.455 0 2.2296 196 28.117 0 1.0915 197 27.94 0 1.7487 198 27.336 0 1.7521 199 27.446 0 1.4716 200 26.569 0 2.4717 201 25.223 0 3.1796 202 24.104 0 3.1892 203 23.361 0 2.9487 204 22.644 0 1.7345 205 21.52 0 0.95491 206 21.096 0 2.1401 207 20.373 0 2.3401 208 19.995 0 1.747 209 19.054 0 4.2084 210 19.276 0 3.7505 211 19.01 0 3.522 212 18.469 0 2.6394 213 17.875 0 3.28 214 16.912 0 4.8669 215 16.346 0 4.2685 216 16.103 0 3.2211 217 15.922 0 2.1716 218 16.329 0 2.1471 219 16.862 0 2.1696 220 17.431 0 2.3517 221 17.738 0 3.3953 222 18.192 0 2.6669 223 18.617 0 1.5668 224 18.96 0 1.0551 225 19.866 0 0.84032 226 20.866 0 0.98048 227 21.657 0 1.3493 228 22.531 0 1.6451 229 23.175 0 0.97735 230 23.259 0 1.6529 231 23.416 0 1.0399 232 22.938 0 1.7174 233 22.284 0 1.2033 234 21.682 0 1.2521 235 21.031 0 1.4405 236 20.518 0 0.81489 237 20.486 0 1.5095 238 20.732 0 1.9892 239 21.175 0 1.9981 240 21.096 0 3.0412 241 21.65 0 3.0682 242 21.959 0 3.64 243 22.534 0 2.7263 244 23.13 0 2.5322 245 23.283 0 1.9793 246 22.953 0 3.2251 247 22.312 0 3.0783 248 22.426 0 1.3229 249 21.3 0 2.2469 250 20.418 0 2.2801 251 19.159 0 2.6451 252 18.629 0 1.849 253 18.568 0 0.80921 254 18.112 0 0.59528 255 17.785 0 1.6057 256 18.565 0 1.8802 257 19.34 0 1.5792 258 19.688 0 1.9667 259 20.288 0 1.9957 260 20.883 0 0.51328 261 20.795 0 1.0307 262 20.774 0 1.5728 263 20.277 0 2.6585 264 19.773 0 2.2702 265 19.658 0 1.1384 266 19.131 0 1.9164 267 18.298 0 2.5938 268 17.204 0 3.573 269 16.084 0 3.3046 270 15.523 0 2.5234 271 15.6 0 2.0594 272 15.641 0 2.1483 273 16.14 0 1.767 274 17.221 0 2.642 275 17.926 0 3.6114 276 17.808 0 4.6075 277 17.373 0 3.0443 278 17.584 0 2.044 279 17.275 0 1.5953 280 16.829 0 1.818 281 16.606 0 1.8078 282 16.129 0 2.2508 283 15.869 0 2.0592 284 16.516 0 0.72863 285 17.299 0 0.81031 286 17.691 0 1.8756 287 18.37 0 1.7245 288 18.862 0 2.1664 289 19.336 0 1.7712 290 19.38 0 1.0862 291 19.488 0 1.0619 292 19.582 0 1.5845 293 19.608 0 1.566 294 19.65 0 1.3822 295 19.751 0 1.207 296 20.039 0 1.5223 297 19.485 0 2.2156 298 18.936 0 2.0877 299 18.254 0 1.7567 300 17.208 0 1.6833 301 15.968 0 2.167 302 15.443 0 2.1399 303 14.842 0 2.8511 304 14.337 0 3.1069 305 14.441 0 1.7916 306 14.174 0 2.8032 307 14.204 0 1.0936 308 13.961 0 0.84397 309 13.961 0 0 310 13.961 0 0 311 13.828 0 1.4722 312 14.403 0 1.1941 313 14.878 0 1.4759 314 15.315 0 1.612 315 15.818 0 1.2532 316 16.177 0 2.0868 317 16.56 0 2.1594 318 16.997 0 0.32366 319 16.771 0 1.7868 320 17.728 0 2.1413 321 18.416 0 1.6164 322 18.792 0 1.0039 323 18.801 0 1.5158 324 18.617 0 1.2638 325 18.961 0 1.4925 326 19.351 0 1.4999 327 19.158 0 2.5107 328 19.005 0 2.885 329 19.444 0 2.2919 330 19.767 0 2.326 331 19.179 0 2.5014 332 19.492 0 2.5211 333 19.952 0 2.3284 334 20.256 0 2.5302 335 20.617 0 2.0489 336 20.804 0 2.5368 337 21.015 0 1.543 338 21.245 0 0.94432 339 20.976 0 2.3193 340 21.249 0 2.0148 341 21.236 0 2.0156 342 20.596 0 1.7625 343 20.126 0 2.8963 344 19.657 0 2.7683 345 19.564 0 2.9271 346 19.395 0 2.4224 347 19.158 0 1.9576 348 18.75 0 2.5011 349 18.488 0 2.7322 350 18.615 0 2.5349 351 18.835 0 1.5537 352 18.575 0 2.113 353 18.506 0 3.4682 354 18.566 0 3.2521 355 19.074 0 1.5499 356 18.954 0 1.0947 357 18.806 0 1.0212 358 18.841 0 0.51938 359 18.93 0 0.42439 360 18.7 0 1.8091 361 18.471 0 1.6866 362 18.285 0 1.3277 363 17.944 0 2.2782 364 17.936 0 2.2357 365 18.224 0 1.8929 366 18.434 0 2.2783 367 18.252 0 2.0588 368 17.729 0 1.994 369 17.216 0 1.6909 370 17.899 0 1.5554 371 18.345 0 1.5928 372 18.443 0 1.2644 373 17.799 0 0.89111 374 17.773 0 0.99416 375 17.614 0 1.2227 376 17.382 0 1.1744 377 16.737 0 1.194 378 16.952 0 0.45076 379 16.936 0 1.2295 380 17.152 0 2.0928 381 16.949 0 1.8561 382 16.359 0 1.6966 383 16.267 0 0.95042 384 16.023 0 0.80153 385 15.649 0 1.1635 386 15.005 0 1.7219 387 13.674 0 2.009 388 13.144 0 1.875 389 11.902 0 2.1698 390 10.363 0 2.2049 391 9.5187 0 1.0394 392 8.7469 0 1.4878 393 7.9335 0 1.4887 394 7.1353 0 1.4118 395 6.42 0 1.0342 396 5.6143 0 1.1946 397 4.7539 0 1.2542 398 4.1932 0 2.0812 399 3.5714 0 1.9018 400 2.8106 0 2.0689 401 2.0362 0 2.0875 402 1.9891 0 0.31378 403 1.8876 0 0.62867 404 1.7896 0 0.59361 405 1.7346 0 0.30742 406 1.7346 0 0 407 1.7346 0 0 408 1.7245 0 0.081191 409 1.7141 0 0.083594 410 1.2476 0 0.99676 411 0.71281 0 0.9965 412 0.13996 0 1.1405 413 0.069155 0 0.41527 414 0.054658 0 0.10931 415 0.054658 0 0 416 0.032725 0 0.15216 417 2.2309e-14 0 0.20788 418 2.2309e-14 0 0