1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.11462 7 0.015376 0 0.24431 8 0.055817 0 0.30704 9 0.11076 0 0.27221 10 0.15746 0 0.32672 11 0.20735 0 0.18678 12 0.23584 0 1.6632 13 0.65895 0 2.2041 14 1.3041 0 1.9195 15 1.9158 0 2.377 16 2.5806 0 2.0006 17 3.2376 0 1.8438 18 3.8729 0 2.0725 19 4.7143 0 1.1166 20 4.9472 0 1.6215 21 5.6674 0 1.7687 22 6.5036 0 1.7971 23 7.4441 0 1.1758 24 8.068 0 1.1643 25 9.3721 0 1.0563 26 10.765 0 1.1771 27 11.948 0 1.8148 28 13.107 0 1.6318 29 14.18 0 1.3421 30 14.704 0 1.2688 31 15.133 0 0.25076 32 15.175 0 0.38279 33 15.235 0 0 34 15.235 0 0.86464 35 15.467 0 1.8501 36 16.326 0 2.2008 37 17.782 0 1.6664 38 19.291 0 1.2917 39 20.428 0 2.2701 40 21.772 0 2.2192 41 22.959 0 1.9389 42 23.702 0 1.7882 43 24.383 0 1.6394 44 25.399 0 1.4899 45 26.078 0 1.6045 46 26.669 0 0.44455 47 26.666 0 1.0428 48 27.012 0 1.2421 49 27.602 0 1.2645 50 28.182 0 1.3017 51 28.722 0 1.3365 52 29.219 0 1.3646 53 30.07 0 1.3714 54 30.862 0 1.1645 55 31.428 0 1.3155 56 31.774 0 0.25765 57 31.76 0 0.35918 58 31.119 0 1.9824 59 31.016 0 2.023 60 30.874 0 1.8593 61 30.584 0 1.1585 62 30.776 0 1.7301 63 31.181 0 2.2363 64 31.754 0 1.5466 65 32.036 0 1.9269 66 32.443 0 1.598 67 33.082 0 0.11567 68 32.938 0 0.66089 69 32.537 0 1.6945 70 31.658 0 2.2818 71 31.769 0 1.495 72 31.215 0 2.5088 73 30.061 0 2.6922 74 30.021 0 2.0453 75 30.222 0 1.783 76 30.732 0 1.2923 77 30.967 0 1.4773 78 31.054 0 1.7269 79 30.948 0 1.7531 80 30.864 0 2.2867 81 30.169 0 2.8764 82 29.872 0 1.5479 83 29.404 0 1.9602 84 28.98 0 3.5787 85 28.425 0 3.4874 86 27.678 0 3.3907 87 27.002 0 2.6483 88 26.267 0 1.8557 89 25.757 0 0.88127 90 24.303 0 1.9922 91 23.402 0 2.2521 92 22.587 0 1.5619 93 22.096 0 2.2631 94 21.75 0 1.6919 95 21.003 0 0.99226 96 19.988 0 1.1177 97 19.105 0 1.3177 98 18.492 0 1.2577 99 18.595 0 1.435 100 17.99 0 2.9924 101 18.17 0 1.9579 102 18.2 0 2.7821 103 18.361 0 2.5171 104 18.721 0 0.93848 105 18.686 0 1.3265 106 18.617 0 1.2203 107 18.487 0 1.3775 108 18.514 0 1.4446 109 18.688 0 1.9836 110 18.764 0 2.2419 111 18.72 0 1.9617 112 18.505 0 2.086 113 17.808 0 2.3191 114 17.726 0 2.0559 115 17.681 0 1.7573 116 17.5 0 2.1346 117 17.701 0 2.0058 118 18.118 0 1.9097 119 18.415 0 1.2123 120 18.097 0 0.94015 121 18.035 0 1.2192 122 16.985 0 1.4907 123 16.711 0 1.4892 124 15.836 0 1.5105 125 14.803 0 1.1846 126 13.534 0 1.5056 127 12.752 0 1.3179 128 12.147 0 2.0946 129 11.285 0 2.1149 130 10.981 0 2.5634 131 11.08 0 2.4293 132 11.624 0 1.9663 133 12.644 0 2.6889 134 13.945 0 3.0073 135 15.342 0 2.6846 136 16.209 0 3.7733 137 17.56 0 3.9335 138 19.194 0 3.3938 139 20.704 0 3.4001 140 22.075 0 3.6759 141 23.388 0 3.6418 142 24.715 0 2.9025 143 25.793 0 2.9658 144 26.794 0 2.7097 145 27.672 0 1.2228 146 27.966 0 1.0796 147 27.951 0 1.8161 148 27.932 0 2.2304 149 27.78 0 2.9166 150 28.214 0 2.0048 151 28.485 0 0.86663 152 28.474 0 1.1755 153 28.553 0 1.613 154 28.467 0 1.963 155 28.51 0 1.4161 156 28.475 0 1.6897 157 28.457 0 1.0281 158 28.351 0 1.8862 159 28.199 0 2.23 160 27.987 0 2.1462 161 27.604 0 2.4955 162 27.289 0 3.0333 163 27.459 0 3.5915 164 27.803 0 3.1037 165 27.973 0 2.6755 166 27.966 0 2.3123 167 27.839 0 2.3971 168 28.134 0 0.49628 169 27.59 0 1.8943 170 27.081 0 1.9701 171 26.853 0 2.0298 172 26.663 0 2.0947 173 26.831 0 2.4059 174 26.646 0 2.5678 175 26.173 0 2.2107 176 25.176 0 3.2275 177 24.883 0 2.5256 178 24.619 0 2.2242 179 24.12 0 1.9496 180 23.598 0 2.3021 181 23.024 0 4.5737 182 23.038 0 3.2186 183 22.958 0 2.6979 184 22.684 0 3.2456 185 22.448 0 2.9642 186 22.29 0 2.6225 187 22.032 0 2.6092 188 21.726 0 2.558 189 21.276 0 2.9245 190 20.674 0 2.7911 191 19.851 0 3.387 192 19.19 0 3.2312 193 18.546 0 2.7012 194 17.705 0 3.245 195 16.906 0 3.0381 196 16.09 0 2.6352 197 15.563 0 2.1657 198 15.083 0 2.4713 199 14.643 0 2.8488 200 14.644 0 2.9032 201 14.879 0 2.3535 202 14.978 0 2.4686 203 14.891 0 2.7961 204 14.799 0 2.2145 205 15.284 0 1.8657 206 15.133 0 2.2488 207 15.001 0 2.2329 208 14.846 0 2.2561 209 14.555 0 2.1012 210 14.194 0 1.9444 211 13.721 0 1.9949 212 13.198 0 1.5277 213 13.446 0 1.3272 214 13.749 0 1.4642 215 14.569 0 0.88618 216 15.36 0 1.0815 217 16.159 0 1.1848 218 16.843 0 1.4834 219 17.475 0 1.5737 220 18.878 0 1.7818 221 20.111 0 1.7139 222 20.593 0 1.5515 223 20.983 0 1.3576 224 21.277 0 1.3798 225 21.375 0 2.1262 226 21.251 0 2.2866 227 20.231 0 2.7195 228 19.154 0 2.4708 229 17.852 0 2.5396 230 16.53 0 1.9643 231 15.025 0 1.8179 232 14.032 0 1.1189 233 13.146 0 1.01 234 12.333 0 1.3841 235 11.56 0 1.5043 236 11.348 0 2.53 237 11.138 0 2.046 238 10.833 0 1.9972 239 10.396 0 2.3074 240 10.003 0 2.9551 241 10.57 0 2.3972 242 10.91 0 2.7368 243 11.224 0 2.1629 244 11.335 0 3.6654 245 11.667 0 3.2996 246 11.235 0 3.7597 247 11.62 0 3.1064 248 11.972 0 2.8658 249 12.688 0 2.1636 250 13.298 0 2.3934 251 14.177 0 2.2966 252 15.525 0 0.68293 253 16.753 0 0.63006 254 17.644 0 0.68522 255 18.514 0 0.84897 256 19.364 0 1.0075 257 19.769 0 1.6188 258 19.493 0 1.8389 259 19.691 0 1.967 260 20.38 0 2.0212 261 20.869 0 2.2317 262 21.346 0 2.1139 263 21.375 0 2.029 264 21.372 0 1.5825 265 21.222 0 1.1803 266 20.96 0 0.89551 267 20.639 0 0.9055 268 20.319 0 1.3657 269 20.135 0 1.3992 270 19.563 0 2.4521 271 19.051 0 2.5443 272 18.146 0 3.6209 273 17.559 0 4.1943 274 17.944 0 2.9411 275 18.194 0 0.88092 276 17.414 0 0.94214 277 17.23 0 1.5733 278 17.506 0 1.5486 279 17.499 0 1.8764 280 17.476 0 1.3201 281 17.37 0 1.7352 282 17.685 0 1.8383 283 17.821 0 1.4544 284 17.434 0 1.7509 285 16.944 0 1.2577 286 16.156 0 2.3639 287 15.906 0 1.9728 288 16.905 0 2.06 289 17.535 0 2.6798 290 17.894 0 1.6875 291 17.779 0 3.5761 292 19.008 0 2.5787 293 19.878 0 3.102 294 21.147 0 2.7308 295 21.654 0 3.5414 296 22.103 0 2.2601 297 21.815 0 3.0692 298 21.95 0 1.525 299 21.38 0 1.5875 300 21.217 0 1.5703 301 21.841 0 2.0229 302 22.13 0 2.4517 303 22.479 0 1.8023 304 23.093 0 0.99951 305 23.377 0 2.0257 306 23.799 0 2.0097 307 23.87 0 1.7041 308 23.893 0 2.2799 309 24.083 0 2.5918 310 24.425 0 2.7183 311 24.709 0 3.0386 312 25.235 0 1.6404 313 25.084 0 1.4301 314 24.639 0 3.2125 315 25.039 0 1.7893 316 24.916 0 3.0066 317 24.971 0 2.7103 318 24.883 0 1.6592 319 24.454 0 2.0974 320 24.105 0 2.1217 321 24.036 0 1.5708 322 23.986 0 0.99692 323 23.584 0 2.7244 324 23.166 0 3.422 325 23.01 0 3.3473 326 23.022 0 1.5226 327 22.809 0 2.2344 328 22.303 0 2.4475 329 21.31 0 2.4363 330 20.331 0 3.2764 331 19.39 0 3.8651 332 18.321 0 3.0994 333 17.088 0 2.0857 334 15.649 0 1.9343 335 14.446 0 2.8014 336 14.446 0 2.484 337 14.399 0 2.4095 338 14.174 0 2.5086 339 13.533 0 2.2353 340 13.562 0 1.2906 341 13.288 0 2.3453 342 12.783 0 3.6433 343 13.304 0 3.4298 344 13.61 0 2.5338 345 14.115 0 1.9937 346 14.772 0 1.4914 347 15.347 0 2.0292 348 15.94 0 1.8102 349 15.362 0 2.7354 350 14.83 0 2.385 351 14.444 0 1.7608 352 14.452 0 2.7008 353 14.889 0 2.7776 354 14.753 0 4.0323 355 14.888 0 3.3368 356 15.053 0 2.6177 357 15.919 0 1.9857 358 16.039 0 2.9412 359 15.915 0 2.5261 360 15.517 0 2.6595 361 16.12 0 2.0488 362 16.768 0 2.0374 363 17.532 0 1.6995 364 18.081 0 2.2836 365 17.962 0 2.5554 366 17.743 0 1.8805 367 18.384 0 0.65176 368 19.164 0 0.64034 369 19.84 0 0.68019 370 20.537 0 0.85615 371 21.125 0 1.4146 372 21.981 0 1.1605 373 22.641 0 0.8059 374 22.632 0 0.41326 375 22.622 0 0.254 376 22.603 0 0.1362 377 22.603 0 0 378 22.603 0 0.21516 379 21.835 0 1.0467 380 20.901 0 0.6822 381 19.931 0 0.71018 382 18.91 0 0.60709 383 18.899 0 0.087378 384 17.982 0 0.60007 385 17.061 0 0.60064 386 16.188 0 1.2781 387 15.344 0 1.8293 388 14.551 0 1.4381 389 13.763 0 1.4959 390 13.021 0 1.5871 391 12.85 0 2.4632 392 12.427 0 2.5285 393 11.72 0 2.6382 394 11.169 0 2.2212 395 10.98 0 1.5118 396 10.975 0 1.6701 397 10.902 0 2.3105 398 10.752 0 2.3852 399 9.9194 0 2.1759 400 9.324 0 2.0652 401 8.8623 0 1.4108 402 8.6144 0 1.6788 403 8.6777 0 1.9484 404 8.6334 0 1.4439 405 8.0793 0 2.6828 406 7.5499 0 2.1652 407 6.7355 0 1.8591 408 6.0991 0 1.6897 409 4.8999 0 1.9792 410 3.3082 0 1.2947 411 3.0076 0 0.99039 412 2.5806 0 1.8807 413 2.6225 0 0.59747 414 2.6577 0 0.58364 415 2.6719 0 0.35102 416 2.5973 0 0.52539 417 2.5692 0 0.18438 418 2.4625 0 0.58891 419 2.3362 0 0.66979 420 2.2824 0 0.30223 421 2.2542 0 0.18558 422 1.9869 0 0.83755 423 1.5859 0 1.2227 424 1.1329 0 1.2735 425 0.63103 0 1.3029 426 0.15286 0 0.99862 427 0.15286 0 0 428 0.023903 0 0.6094 429 0.010609 0 0.10191 430 0.010609 0 0 431 0.010609 0 0 432 1.4422e-14 0 0.084804 433 1.4422e-14 0 0