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 0.21373 9 0.03393 0 0.21676 10 0.068488 0 0.18062 11 0.095779 0 0.15411 12 0.11807 0 0.13494 13 0.13692 0 0.19386 14 0.16682 0 0 15 0.16682 0 0 16 0.16682 0 0.1362 17 0.18589 0 0 18 0.18589 0 0 19 0.18589 0 0.87915 20 0.88763 0 0.70335 21 1.6967 0 0.83751 22 2.4295 0 0.9212 23 3.0932 0 1.1394 24 3.7189 0 0.22935 25 3.7561 0 0.40608 26 3.8372 0 0.89237 27 4.0096 0 0.70542 28 4.1485 0 0.58103 29 4.2593 0 1.3752 30 4.9174 0 1.2558 31 5.6489 0 1.1817 32 6.3594 0 1.1855 33 7.0436 0 0.96681 34 7.6505 0 0 35 7.6505 0 0.22591 36 7.6807 0 0.11821 37 7.6967 0 0.34257 38 7.7439 0 0.42146 39 7.8294 0 0.63221 40 7.9452 0 0.92985 41 8.1057 0 0.84988 42 8.2487 0 0.95316 43 8.4116 0 0.99395 44 8.5754 0 0.78232 45 8.7038 0 1.4808 46 9.3822 0 1.1645 47 9.9373 0 0.99839 48 10.414 0 1.2902 49 10.898 0 1.759 50 11.441 0 1.0361 51 11.654 0 1.156 52 11.893 0 0.6525 53 12.029 0 1.6067 54 12.348 0 1.1053 55 12.553 0 2.1129 56 12.988 0 2.0998 57 14.239 0 1.8579 58 15.358 0 2.1607 59 16.506 0 1.9899 60 17.51 0 2.2893 61 18.551 0 1.877 62 18.893 0 2.3323 63 19.183 0 2.2031 64 19.36 0 2.1051 65 19.41 0 1.4255 66 19.025 0 1.5406 67 19.028 0 0.24692 68 18.989 0 2.0865 69 18.859 0 2.8055 70 18.816 0 2.6952 71 18.859 0 2.0001 72 18.638 0 2.2645 73 18.38 0 1.6329 74 18.398 0 1.5817 75 18.525 0 1.568 76 18.312 0 1.6086 77 17.839 0 1.634 78 17.386 0 2.6753 79 17.138 0 3.1751 80 17.119 0 2.8844 81 17.116 0 2.324 82 17.042 0 1.653 83 16.792 0 1.4296 84 16.556 0 1.018 85 16.09 0 1.7976 86 15.617 0 1.7179 87 15.201 0 1.6203 88 14.987 0 1.5414 89 14.803 0 1.3783 90 14.474 0 1.4366 91 14.057 0 1.7192 92 13.798 0 1.7652 93 13.401 0 2.4482 94 13.133 0 2.3704 95 12.771 0 2.3198 96 11.97 0 3.14 97 11.157 0 2.7723 98 11.098 0 2.4031 99 11.019 0 2.1462 100 10.95 0 2.1281 101 10.816 0 1.5056 102 10.555 0 1.7244 103 10.567 0 0.85971 104 10.498 0 2.4306 105 10.687 0 2.4189 106 11.356 0 1.9506 107 11.625 0 1.6456 108 11.753 0 1.1255 109 11.826 0 1.1726 110 11.843 0 1.2358 111 11.516 0 2.2058 112 11.466 0 2.6984 113 11.353 0 2.0344 114 10.932 0 2.2156 115 10.791 0 2.1912 116 10.617 0 2.0138 117 11.748 0 1.4942 118 12.526 0 1.9089 119 13.253 0 2.2987 120 13.786 0 2.2201 121 14.364 0 1.8099 122 14.273 0 2.5079 123 14.374 0 2.6465 124 14.027 0 1.7785 125 13.591 0 2.2183 126 13.269 0 1.7984 127 12.744 0 1.9828 128 12.382 0 1.8347 129 12.573 0 0.90746 130 12.515 0 1.3985 131 12.391 0 1.6439 132 12.238 0 1.5818 133 11.905 0 1.8932 134 11.688 0 1.3703 135 10.948 0 1.9264 136 10.133 0 2.0288 137 9.3586 0 2.0026 138 8.4894 0 1.7587 139 7.5292 0 1.9781 140 7.0285 0 2.8538 141 8.2445 0 2.0033 142 9.4586 0 2.4882 143 10.59 0 1.9044 144 11.522 0 2.2348 145 12.358 0 1.8378 146 12.496 0 3.2557 147 12.624 0 3.2394 148 12.797 0 2.0267 149 12.998 0 2.7215 150 13.362 0 2.9282 151 13.816 0 3.2223 152 14.123 0 3.3674 153 14.325 0 3.1361 154 14.846 0 2.3163 155 15.655 0 2.5494 156 16.315 0 2.7064 157 16.475 0 2.984 158 16.6 0 2.8083 159 16.631 0 1.796 160 17.378 0 1.0062 161 17.756 0 1.6598 162 18.086 0 2.2621 163 18.78 0 1.7453 164 19.572 0 1.6979 165 19.538 0 2.3561 166 19.502 0 1.4117 167 19.053 0 1.6126 168 19.201 0 1.4034 169 19.824 0 1.4584 170 20.575 0 1.4758 171 20.752 0 1.3404 172 20.938 0 0.351 173 20.906 0 0.50349 174 20.917 0 0.39914 175 20.922 0 0.90642 176 21.09 0 0.88028 177 20.987 0 2.3074 178 20.537 0 2.6557 179 20.28 0 2.7372 180 20.175 0 1.9257 181 20.618 0 1.5941 182 20.854 0 1.8968 183 21.092 0 1.7651 184 20.499 0 2.3878 185 20.036 0 1.51 186 19.388 0 0.89924 187 18.499 0 0.73024 188 17.621 0 0.56353 189 17.516 0 1.1785 190 17.057 0 2.358 191 17.569 0 1.2207 192 17.989 0 1.4671 193 18.229 0 1.3242 194 18.435 0 1.5172 195 19.053 0 1.8222 196 19.306 0 1.8481 197 18.798 0 2.2321 198 18.33 0 2.2594 199 18.45 0 2.7101 200 18.754 0 3.2449 201 18.972 0 2.2571 202 18.904 0 1.9965 203 18.603 0 2.7635 204 18.136 0 1.8833 205 17.109 0 2.566 206 17.021 0 1.1644 207 17.437 0 2.0009 208 17.97 0 1.6351 209 18.183 0 1.3876 210 18.371 0 1.3249 211 18.523 0 0.44315 212 18.331 0 1.7469 213 18.313 0 1.8302 214 18.009 0 1.8387 215 17.28 0 2.2353 216 16.485 0 2.0814 217 16.13 0 1.83 218 15.412 0 2.5693 219 14.706 0 2.4832 220 14.161 0 2.0076 221 13.089 0 2.0168 222 12.021 0 1.9427 223 11.844 0 0.91838 224 11.864 0 0.28127 225 11.877 0 0.12657 226 11.17 0 1.7706 227 10.355 0 2.6502 228 9.8008 0 2.9275 229 9.1572 0 3.5259 230 8.6921 0 2.2986 231 8.4335 0 1.8145 232 8.7251 0 1.1201 233 8.6618 0 2.2841 234 8.9951 0 1.761 235 9.0578 0 1.7773 236 9.09 0 0.93628 237 8.9474 0 2.0521 238 9.3329 0 1.7217 239 9.7659 0 1.3576 240 10.097 0 2.019 241 10.517 0 1.5306 242 10.6 0 1.4193 243 10.703 0 0.64142 244 10.69 0 0.8551 245 10.653 0 0.71347 246 10.508 0 1.7946 247 10.892 0 1.6745 248 11.414 0 0.9982 249 11.802 0 1.6336 250 11.778 0 2.3739 251 11.738 0 1.912 252 11.226 0 2.1086 253 10.594 0 2.3843 254 10.845 0 1.7327 255 10.927 0 1.8319 256 10.881 0 2.0602 257 10.536 0 2.3141 258 10.215 0 2.3113 259 10.137 0 1.5739 260 9.5068 0 2.2252 261 8.8922 0 2.173 262 8.4465 0 1.8489 263 7.9469 0 1.8052 264 7.4474 0 1.2571 265 6.9012 0 1.0895 266 6.3208 0 0.9813 267 6.3208 0 0 268 6.3208 0 0.13572 269 6.3398 0 0.13557 270 6.3588 0 0 271 6.3588 0 0 272 6.3588 0 0 273 6.3588 0 0 274 6.3588 0 0.14236 275 6.379 0 0.23636 276 6.3978 0 0.37438 277 6.4072 0 0.71767 278 6.4724 0 1.5507 279 7.006 0 1.6032 280 7.6009 0 1.5422 281 8.1635 0 1.7099 282 8.6511 0 1.2174 283 8.7468 0 0.44818 284 9.7032 0 0.67437 285 10.72 0 0.74886 286 11.727 0 1.1376 287 12.315 0 1.9728 288 12.196 0 1.7766 289 11.847 0 1.8387 290 12.107 0 2.1107 291 12.718 0 1.8304 292 13.329 0 1.2591 293 14.108 0 0.35648 294 14.117 0 1.4284 295 14.786 0 0.99171 296 16.197 0 1.0775 297 17.076 0 1.8766 298 17.622 0 2.6858 299 17.985 0 3.3465 300 19.18 0 3.7588 301 20.321 0 3.5252 302 21.754 0 2.2114 303 22.333 0 1.3541 304 23.171 0 1.9616 305 23.4 0 2.1258 306 23.448 0 1.5384 307 23.248 0 1.7847 308 23.248 0 1.0396 309 23.248 0 1.1655 310 23.363 0 0.86481 311 23.476 0 0.87253 312 23.575 0 1.581 313 23.997 0 1.226 314 23.775 0 1.4199 315 23.468 0 1.1412 316 23.119 0 1.0966 317 22.719 0 0.89884 318 22.228 0 0.90771 319 21.448 0 1.1678 320 20.767 0 1.3996 321 20.826 0 0.53344 322 20.163 0 1.4556 323 19.516 0 0.78327 324 18.684 0 0.67307 325 17.932 0 1.4396 326 17.051 0 1.2189 327 16.022 0 1.8733 328 15.431 0 1.1324 329 14.471 0 1.7666 330 14.055 0 2.1322 331 13.476 0 2.0254 332 12.846 0 2.3674 333 12.63 0 1.6352 334 12.543 0 2.45 335 13.113 0 2.1643 336 13.207 0 1.7216 337 13.059 0 1.1144 338 12.845 0 2.0535 339 13.056 0 2.0006 340 13.271 0 1.9576 341 13.894 0 2.2411 342 14.29 0 2.144 343 14.318 0 2.0585 344 14.348 0 1.8379 345 14.98 0 2.2474 346 15.716 0 1.9441 347 16.625 0 2.5245 348 17.362 0 2.1156 349 17.702 0 2.4056 350 18.496 0 1.9576 351 19.093 0 2.1616 352 19.566 0 2.572 353 20.209 0 2.1267 354 20.429 0 2.552 355 20.744 0 2.2542 356 21.068 0 1.8859 357 21.982 0 2.364 358 22.637 0 2.146 359 22.519 0 3.5623 360 22.525 0 3.9336 361 22.519 0 2.6399 362 21.973 0 3.3101 363 22.081 0 1.8013 364 21.771 0 1.7007 365 21.11 0 1.2299 366 19.943 0 2.0923 367 20.151 0 2.3209 368 20.584 0 1.6316 369 20.45 0 2.499 370 20.603 0 1.8312 371 19.639 0 3.3586 372 18.394 0 3.5873 373 18.251 0 1.2 374 18.195 0 1.0276 375 17.992 0 1.3511 376 17.684 0 1.8701 377 17.797 0 1.8961 378 17.668 0 2.5818 379 17.724 0 2.1584 380 17.739 0 2.0635 381 17.921 0 1.4775 382 18.722 0 1.2603 383 19.542 0 1.1198 384 20.358 0 0.87075 385 20.828 0 1.0813 386 21.276 0 1.0488 387 21.654 0 1.126 388 21.891 0 1.3969 389 21.782 0 0.6088 390 21.379 0 1.2865 391 21.016 0 1.0805 392 19.961 0 1.2556 393 18.802 0 1.5763 394 18.041 0 1.2611 395 17.042 0 1.4678 396 15.965 0 2.0693 397 15.325 0 1.6441 398 14.495 0 1.9443 399 14.522 0 2.1298 400 14.593 0 2.2905 401 13.999 0 2.522 402 12.851 0 3.2869 403 12.534 0 3.6862 404 12.26 0 3.3581 405 13 0 1.6723 406 12.508 0 2.2442 407 12.62 0 1.9672 408 12.443 0 1.9921 409 12.19 0 2.3709 410 12.383 0 1.5966 411 12.942 0 1.351 412 13.883 0 0.70429 413 14.662 0 0.84525 414 15.326 0 1.0166 415 16.14 0 0.97436 416 16.876 0 0.99159 417 17.437 0 1.4334 418 17.632 0 1.9439 419 17.576 0 2.009 420 16.497 0 1.773 421 16.3 0 1.2123 422 17.124 0 0.62235 423 17.802 0 1.1627 424 18.631 0 0.61631 425 19.618 0 0.2804 426 20.569 0 0.41861 427 21.428 0 0.68882 428 22.269 0 0.86395 429 23.066 0 1.1416 430 23.699 0 0 431 23.688 0 0.42138 432 23.733 0 0.53721 433 23.169 0 1.3403 434 22.431 0 1.5251 435 21.939 0 1.6257 436 21.441 0 1.4968 437 20.864 0 1.0927 438 20.147 0 0.26674 439 19.194 0 0.51007 440 18.328 0 1.0564 441 17.665 0 0.71767 442 16.884 0 0.43415 443 16.186 0 0.96321 444 15.247 0 0.96527 445 14.26 0 0.81259 446 13.223 0 1.1921 447 12.507 0 1.3115 448 12.872 0 1.4395 449 12.29 0 0.53138 450 11.311 0 0.83552 451 11.062 0 0.54783 452 10.984 0 0.98461 453 11.862 0 0.44738 454 12.053 0 0.76074 455 12.174 0 0.86666 456 12.306 0 1.0861 457 11.339 0 0.94763 458 10.347 0 0.81925 459 11.087 0 0.49098 460 11.621 0 0.9915 461 12.227 0 0.64068 462 12.714 0 0.97723 463 13.658 0 0.3664 464 14.407 0 1.2139 465 14.818 0 1.0839 466 14.818 0 0 467 14.818 0 0 468 14.068 0 0.81162 469 13.126 0 0.31841 470 12.166 0 0.24315 471 11.194 0 0.18123 472 10.207 0 0.10352 473 9.2164 0 0.073951 474 8.2286 0 0.29546 475 8.2286 0 0 476 7.3892 0 0.63569 477 6.4766 0 0.42774 478 5.5494 0 0.37637 479 4.6414 0 0.44305 480 3.8801 0 0.79294 481 3.2172 0 0.922 482 3.2172 0 0.1779 483 2.8538 0 1.2738 484 2.4777 0 1.3516 485 2.1646 0 1.5213 486 2.2545 0 0.48035 487 2.3391 0 0.97533 488 2.5682 0 1.0811 489 2.7588 0 1.2264 490 2.9038 0 1.5565 491 3.1824 0 1.3804 492 3.315 0 1.8315 493 4.1668 0 1.9749 494 4.9827 0 2.2352 495 5.603 0 1.966 496 5.7399 0 1.5881 497 5.5736 0 1.6888 498 5.4502 0 1.709 499 5.3991 0 1.4916 500 5.4899 0 0.21 501 5.3825 0 1.7245 502 5.5048 0 1.7094 503 5.1836 0 2.103 504 4.7952 0 1.8602 505 4.3343 0 1.6322 506 3.8157 0 1.6471 507 3.3622 0 1.6679 508 3.2115 0 0.99336 509 3.0296 0 0.95348 510 2.7226 0 1.4216 511 2.362 0 1.7421 512 2.322 0 0.3055 513 2.2275 0 0.51637 514 1.8781 0 1.2253 515 1.5199 0 1.1113 516 0.96566 0 1.6114 517 0.18054 0 1.4662 518 2.5729e-14 0 0.68126