1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0.081723 6 0.01014 0 0.17334 7 0.036029 0 0.085209 8 0.0467 0 0.9752 9 0.63914 0 0.31291 10 1.5828 0 0.11082 11 2.568 0 0.45118 12 3.4736 0 0.84303 13 4.3784 0 1.8538 14 5.2308 0 1.1468 15 6.55 0 0.92763 16 7.6036 0 1.2144 17 8.5389 0 1.4141 18 9.3254 0 1.1423 19 9.8407 0 0.933 20 9.9225 0 1.1677 21 10.072 0 0.95843 22 10.264 0 1.4943 23 10.686 0 1.0194 24 10.973 0 0.45265 25 11.041 0 0.82356 26 11.936 0 0.49779 27 12.922 0 0.91831 28 13.84 0 1.2323 29 14.614 0 1.4516 30 15.438 0 0.58136 31 15.577 0 1.6659 32 16.49 0 1.5496 33 17.261 0 1.7508 34 18.017 0 1.6407 35 18.627 0 1.4886 36 19.051 0 1.21 37 19.971 0 1.1725 38 20.9 0 1.0218 39 21.561 0 1.0378 40 22.172 0 0.23982 41 22.171 0 1.1839 42 22.497 0 1.9468 43 23.61 0 1.6102 44 24.143 0 1.3746 45 24.042 0 2.0829 46 24.721 0 2.1164 47 25.34 0 1.7343 48 25.571 0 0.65447 49 25.67 0 0.62796 50 25.639 0 0.5927 51 25.145 0 2.1029 52 25.2 0 2.0825 53 25.715 0 1.9701 54 25.623 0 1.6782 55 25.478 0 1.5638 56 25.195 0 1.6095 57 25.353 0 1.211 58 25.011 0 1.5405 59 24.603 0 1.559 60 23.615 0 2.2084 61 22.582 0 1.7066 62 21.913 0 1.5997 63 21.019 0 2.1935 64 20.368 0 2.4529 65 20.194 0 3.3113 66 20.94 0 3.4687 67 20.746 0 2.5942 68 19.972 0 2.2129 69 19.111 0 1.9344 70 18.551 0 1.9942 71 18.571 0 3.7076 72 20.483 0 3.8268 73 22.258 0 3.4874 74 23.217 0 2.687 75 23.441 0 2.0498 76 23.359 0 2.665 77 23.56 0 1.5962 78 24.027 0 1.5547 79 23.4 0 1.784 80 22.133 0 2.5124 81 21.428 0 2.1612 82 20.365 0 1.988 83 19.816 0 1.4146 84 19.523 0 1.4437 85 19.625 0 2.1922 86 19.959 0 2.0351 87 20.657 0 1.9082 88 21.384 0 0.30016 89 21.322 0 0.87533 90 21.012 0 1.2879 91 21.581 0 1.513 92 22.458 0 1.6096 93 23.318 0 1.7654 94 24.497 0 1.0884 95 25.502 0 1.4283 96 26.269 0 1.8584 97 26.931 0 2.5376 98 26.875 0 2.6931 99 27.359 0 2.7697 100 28.13 0 3.03 101 28.641 0 3.3422 102 29.257 0 2.8612 103 29.324 0 2.333 104 28.702 0 3.123 105 28.221 0 2.9644 106 28.204 0 1.8684 107 28.201 0 2.0425 108 28.138 0 1.4955 109 28.333 0 2.2005 110 29.001 0 2.1859 111 28.903 0 2.1701 112 28.368 0 2.2984 113 28.083 0 2.9401 114 28.074 0 2.142 115 28.637 0 1.8748 116 28.083 0 1.9511 117 27.631 0 1.6155 118 27.304 0 1.3718 119 27.015 0 1.0714 120 26.668 0 0.98621 121 26.286 0 0.52308 122 25.405 0 1.4402 123 26.156 0 2.1238 124 27.242 0 2.2292 125 27.656 0 2.8585 126 27.817 0 3.033 127 27.805 0 1.3114 128 26.578 0 1.7571 129 25.724 0 2.4008 130 24.884 0 2.297 131 24.551 0 1.4781 132 24.542 0 1.2319 133 24.787 0 1.8606 134 25.417 0 1.9714 135 26.171 0 1.5406 136 26.029 0 1.5847 137 25.851 0 1.4746 138 24.654 0 0.8374 139 22.845 0 0.94315 140 22.146 0 1.118 141 21.625 0 1.3064 142 21.23 0 1.1806 143 21.296 0 0.62187 144 20.884 0 1.9867 145 20.583 0 1.6207 146 20.097 0 2.1759 147 19.68 0 1.7312 148 19.787 0 1.7641 149 20.375 0 1.4562 150 20.536 0 1.9646 151 20.698 0 2.5687 152 20.95 0 2.3021 153 21.179 0 2.1803 154 21.565 0 2.1243 155 21.741 0 2.3725 156 21.691 0 2.693 157 21.23 0 2.8445 158 21.372 0 2.929 159 21.121 0 2.5674 160 20.504 0 2.3374 161 19.734 0 2.4538 162 18.957 0 2.6447 163 19.236 0 1.411 164 19.13 0 3.2394 165 18.205 0 4.1613 166 17.863 0 3.5343 167 18.142 0 3.3355 168 18.45 0 3.2667 169 18.256 0 2.6769 170 17.865 0 1.8883 171 17.381 0 1.3194 172 16.814 0 1.5879 173 16.255 0 1.5052 174 15.698 0 1.1692 175 14.832 0 1.5812 176 14.524 0 1.6435 177 14.294 0 1.9982 178 14.191 0 2.437 179 13.962 0 3.147 180 14.418 0 1.564 181 14.86 0 1.7356 182 14.771 0 1.8048 183 14.665 0 1.5345 184 13.83 0 1.5327 185 13.072 0 0.85276 186 12.428 0 0.93985 187 12.428 0 0.080926 188 12.438 0 0.13682 189 12.447 0 0.28171 190 12.477 0 0 191 12.477 0 0 192 12.458 0 0.13808 193 12.436 0 0.15526 194 12.412 0 0.16298 195 12.386 0 0.16947 196 12.36 0 0.26691 197 12.372 0 0.093716 198 12.373 0 0.16705 199 12.371 0 0.19946 200 12.37 0 0.18705 201 12.366 0 0.10931 202 12.351 0 0.42768 203 12.385 0 0.60699 204 12.486 0 0.73537 205 12.598 0 0.26545 206 12.575 0 1.4927 207 13.067 0 1.3289 208 13.48 0 2.0124 209 13.956 0 0.70105 210 13.848 0 1.7742 211 14.415 0 1.987 212 15.411 0 2.3232 213 16.705 0 1.8327 214 17.436 0 2.1821 215 17.533 0 2.4234 216 17.701 0 2.4951 217 17.965 0 3.4055 218 18.314 0 3.5341 219 18.66 0 3.5589 220 19.028 0 1.8084 221 18.482 0 1.786 222 18.451 0 2.3099 223 18.437 0 2.146 224 18.168 0 3.0797 225 17.784 0 2.1015 226 16.975 0 2.7937 227 16.851 0 1.554 228 16.933 0 1.5743 229 17.586 0 1.2828 230 18.204 0 1.32 231 18.803 0 1.3207 232 18.939 0 1.5865 233 19.004 0 1.5847 234 19.442 0 1.0383 235 19.034 0 2.3214 236 19.341 0 1.3309 237 19.72 0 0.54229 238 19.796 0 1.0842 239 19.986 0 2.1168 240 20.17 0 2.6541 241 20.634 0 1.7557 242 20.668 0 2.5291 243 20.678 0 2.4486 244 20.507 0 2.2675 245 20.461 0 1.1724 246 20.28 0 1.299 247 20.085 0 1.5788 248 19.617 0 2.5087 249 19.041 0 1.6846 250 17.845 0 2.4865 251 18.381 0 0.67908 252 18.658 0 1.532 253 18.781 0 2.3699 254 18.92 0 2.1185 255 19.747 0 1.0562 256 20.032 0 2.1312 257 20.444 0 2.2806 258 21.233 0 1.2842 259 20.677 0 2.0159 260 20.655 0 1.8965 261 20.642 0 1.0131 262 19.91 0 1.1138 263 19.253 0 1.1491 264 18.66 0 1.8742 265 18.617 0 1.6788 266 18.286 0 2.2962 267 18.4 0 0 268 18.388 0 0.091495 269 18.371 0 0.12244 270 18.068 0 1.9615 271 17.946 0 1.8214 272 17.637 0 3.1289 273 17.795 0 2.704 274 17.269 0 1.8574 275 17.326 0 1.9263 276 17.444 0 1.3429 277 17.392 0 1.6383 278 17.579 0 1.9665 279 18.237 0 1.5065 280 18.749 0 1.1537 281 19.391 0 1.1204 282 19.325 0 0.83637 283 19.312 0 0.47857 284 19.177 0 0.7716 285 19.054 0 1.6576 286 18.976 0 2.2001 287 18.178 0 1.2437 288 17.368 0 0.82147 289 16.506 0 0.6803 290 15.602 0 0.9288 291 14.972 0 0.918 292 14.363 0 1.1469 293 13.784 0 1.3112 294 14.146 0 0.42094 295 14.126 0 0.32729 296 14.03 0 0.54413 297 13.397 0 1.5532 298 13.177 0 1.9308 299 13.6 0 0.88083 300 12.961 0 1.4436 301 12.238 0 1.5523 302 11.512 0 1.6893 303 10.967 0 1.28 304 10.333 0 1.5615 305 9.2333 0 2.6935 306 8.3221 0 2.527 307 7.9482 0 1.8876 308 7.0763 0 3.1499 309 5.8156 0 3.5392 310 4.6661 0 3.0837 311 4.5521 0 1.577 312 4.472 0 0.87168 313 4.3558 0 1.7239 314 4.947 0 1.9053 315 5.5594 0 1.8379 316 6.1971 0 0.68933 317 6.2481 0 1.2128 318 6.8151 0 0.99967 319 7.3044 0 0 320 7.2033 0 0.47275 321 7.0982 0 0.57984 322 7.0968 0 0.10566 323 7.0725 0 0.43912 324 7.0071 0 0.77387 325 6.3707 0 2.3278 326 5.7662 0 2.2375 327 5.8387 0 1.2858 328 5.3085 0 1.7906 329 4.73 0 1.4189 330 4.0887 0 1.1833 331 4.0636 0 0.26062 332 3.9339 0 0.97603 333 3.8681 0 0.58035 334 3.8706 0 0.082657 335 3.852 0 0.13322 336 3.7981 0 0.3568 337 3.7728 0 0.17048 338 3.7728 0 0 339 3.7488 0 0.18719 340 3.708 0 0.30959 341 3.6747 0 0.35534 342 3.6659 0 0.28719 343 3.6604 0 0.24145 344 3.6711 0 0.10063 345 3.642 0 0.82373 346 3.6873 0 2.2116 347 4.1761 0 2.3532 348 4.7396 0 1.8864 349 5.0314 0 2.2757 350 5.9263 0 1.8726 351 6.6189 0 0.83225 352 6.7864 0 1.5853 353 6.9324 0 2.0107 354 7.8861 0 1.8339 355 8.5656 0 1.8643 356 9.3553 0 0.98254 357 10.125 0 0.6536 358 10.967 0 0.747 359 11.788 0 0.78633 360 12.66 0 0.9628 361 13.358 0 1.2494 362 13.852 0 1.2531 363 13.292 0 1.8588 364 13.373 0 2.6458 365 13.643 0 2.4932 366 14.043 0 2.1453 367 13.983 0 2.5906 368 14.713 0 2.1035 369 15.06 0 2.9765 370 15.641 0 2.3262 371 16.152 0 1.4519 372 16.478 0 1.0974 373 16.688 0 0.80259 374 16.341 0 2.0113 375 16.564 0 0.75148 376 16.569 0 1.5084 377 16.439 0 1.6168 378 15.885 0 2.5213 379 15.464 0 2.2168 380 15.431 0 1.9578 381 14.763 0 1.6428 382 13.953 0 1.6268 383 14.002 0 0.70363 384 13.432 0 0.97176 385 13.07 0 1.9444 386 13.067 0 1.5389 387 13.189 0 1.6465 388 12.502 0 1.253 389 12.372 0 1.1279 390 12.298 0 0.97984 391 12.421 0 0.61652 392 12.203 0 1.1595 393 11.99 0 1.8518 394 12.381 0 2.096 395 11.929 0 0.93349 396 12.054 0 2.0729 397 12.629 0 3.0072 398 14.283 0 2.1056 399 15.494 0 1.4931 400 15.868 0 1.9385 401 16.262 0 1.5564 402 16.741 0 1.1627 403 16.89 0 1.5891 404 17.712 0 1.4632 405 18.687 0 1.0776 406 19.256 0 1.2715 407 19.842 0 1.0693 408 20.399 0 1.5727 409 20.556 0 2.3284 410 21.267 0 1.7216 411 21.782 0 1.5597 412 22.027 0 1.5083 413 21.914 0 1.5065 414 22.383 0 1.1549 415 22.5 0 1.7491 416 22.399 0 2.5181 417 22.721 0 2.1874 418 22.999 0 1.9185 419 22.93 0 1.8082 420 22.119 0 2.4617 421 21.927 0 1.5096 422 21.407 0 1.3038 423 20.791 0 1.6112 424 20.354 0 1.47 425 20.633 0 1.1362 426 20.874 0 0.65816 427 20.973 0 0.22609 428 20.973 0 0 429 20.338 0 1.5685 430 19.662 0 1.7358 431 18.906 0 1.9042 432 18.092 0 1.5097 433 17.24 0 1.0844 434 16.533 0 1.4872 435 17.038 0 2.0611 436 16.892 0 2.4342 437 16.622 0 1.9679 438 16.145 0 1.973 439 15.997 0 2.7917 440 16.001 0 2.8836 441 15.977 0 1.5266 442 16.415 0 1.3732 443 16.751 0 0.90317 444 16.354 0 2.0841 445 15.79 0 1.7116 446 15.752 0 0.69843 447 15.382 0 1.8786 448 15.114 0 1.7073 449 14.591 0 1.6508 450 13.844 0 1.672 451 13.2 0 1.8952 452 12.414 0 1.7155 453 12.037 0 1.3479 454 11.811 0 1.7727 455 12.346 0 1.5867 456 12.803 0 1.835 457 13.294 0 1.7058 458 13.756 0 0.41255 459 13.694 0 1.4098 460 14.051 0 1.4169 461 14.202 0 1.9486 462 14.26 0 1.5373 463 14.076 0 1.9289 464 14.183 0 1.6071 465 14.16 0 1.6039 466 13.931 0 0.88941 467 13.66 0 1.0443 468 13.442 0 0.75615 469 13.237 0 0.73045 470 13.237 0 0 471 13.237 0 0 472 13.195 0 0.25243 473 13.145 0 0.55856 474 12.433 0 1.6121 475 11.448 0 1.894 476 10.43 0 1.8254 477 9.7372 0 1.69 478 8.9322 0 1.518 479 8.8242 0 0.67298 480 8.2245 0 2.2576 481 7.7417 0 1.8355 482 7.1593 0 1.9368 483 7.8399 0 1.2513 484 8.0008 0 2.1074 485 7.8256 0 1.9965 486 7.3437 0 1.6344 487 6.8992 0 1.7952 488 7.3167 0 1.7106 489 7.5782 0 1.7683 490 7.857 0 2.0948 491 8.0978 0 1.6269 492 7.8508 0 1.0563 493 7.5962 0 1.7606 494 8.0031 0 1.1425 495 8.356 0 0.2141 496 8.3227 0 0.2439 497 8.3032 0 0.1384 498 8.3032 0 0 499 8.1274 0 0.67083 500 7.8457 0 1.053 501 7.0996 0 1.9708 502 6.2468 0 1.8175 503 5.6548 0 1.4162 504 5.074 0 1.1741 505 4.4891 0 1.0951 506 3.8255 0 1.1449 507 3.129 0 1.0144 508 2.4578 0 0.91364 509 2.4578 0 0 510 2.4578 0 0 511 1.7397 0 0.85804 512 0.89916 0 0.63306 513 0.027922 0 0.55404 514 0.027922 0 0 515 0.027922 0 0 516 2.8796e-16 0 0.18386 517 2.8796e-16 0 0