1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.23098 7 0.037558 0 0.31572 8 0.094632 0 1.1659 9 0.93189 0 1.4596 10 1.8424 0 1.5932 11 2.6579 0 1.3542 12 3.3045 0 1.2332 13 3.7913 0 1.3621 14 4.2393 0 1.5366 15 4.6664 0 1.3549 16 4.9857 0 0.8519 17 5.2631 0 1.616 18 5.6818 0 1.7507 19 6.0432 0 1.516 20 6.3678 0 1.9873 21 6.93 0 1.0922 22 7.2147 0 1.13 23 7.4765 0 1.2986 24 7.7513 0 1.6406 25 8.0726 0 0.41564 26 8.1329 0 0.11196 27 8.1478 0 0.12996 28 8.1658 0 0.34237 29 8.2177 0 1.0047 30 8.3888 0 0.54789 31 8.4882 0 0 32 8.4882 0 0 33 8.4882 0 0 34 8.4882 0 0 35 8.4761 0 0.78716 36 8.6291 0 0.55832 37 8.7594 0 0 38 8.7594 0 0 39 8.7594 0 0.12442 40 8.7764 0 0.57295 41 8.8599 0 0.31023 42 8.9055 0 0.094973 43 8.6065 0 2.3063 44 8.8475 0 2.2493 45 9.2061 0 1.7173 46 9.6476 0 0.46392 47 9.7258 0 1.4283 48 10.245 0 1.4805 49 10.487 0 2.8416 50 10.912 0 2.0066 51 11.031 0 1.1142 52 11.889 0 1.0989 53 12.622 0 1.1814 54 13.302 0 1.9759 55 13.898 0 2.4447 56 14.946 0 2.4007 57 15.922 0 2.2236 58 16.851 0 2.2093 59 17.965 0 2.1449 60 19.062 0 1.5993 61 19.773 0 2.3901 62 20.673 0 2.491 63 21.434 0 2.3935 64 22.077 0 2.0947 65 21.978 0 1.6201 66 21.803 0 1.4682 67 21.445 0 1.1274 68 20.983 0 1.5667 69 20.811 0 1.7752 70 20.445 0 1.865 71 20.322 0 1.2626 72 19.974 0 1.6894 73 19.829 0 1.3721 74 19.582 0 1.6031 75 19.402 0 1.1565 76 19.061 0 1.3015 77 18.703 0 1.4957 78 18.806 0 1.8179 79 19.285 0 1.7678 80 19.48 0 2.226 81 19.587 0 1.1263 82 19.155 0 1.9133 83 18.676 0 1.8729 84 18.08 0 2.3486 85 17.333 0 3.2144 86 17.495 0 2.844 87 17.98 0 2.1489 88 18.503 0 1.8212 89 18.965 0 2.0095 90 19.425 0 2.7325 91 20.33 0 2.8207 92 21.537 0 2.4585 93 22.125 0 2.0505 94 22.328 0 2.3636 95 22.782 0 1.7942 96 23.602 0 1.3184 97 24.443 0 1.844 98 24.889 0 1.3629 99 25.884 0 1.323 100 26.955 0 1.6574 101 27.598 0 1.6492 102 28.059 0 2.2731 103 28.536 0 2.6536 104 28.764 0 2.7614 105 29.261 0 2.6718 106 29.045 0 2.4719 107 28.57 0 1.9858 108 28.198 0 2.2233 109 27.977 0 2.1981 110 27.657 0 1.8054 111 27.025 0 2.4829 112 26.565 0 2.3372 113 25.995 0 2.8675 114 24.828 0 3.7133 115 24.012 0 3.5329 116 24.077 0 1.6251 117 23.719 0 1.5356 118 24.027 0 1.8736 119 24.216 0 2.6613 120 24.39 0 2.3342 121 24.441 0 2.1068 122 24.298 0 1.1841 123 24.239 0 1.295 124 24.267 0 0.57278 125 24.206 0 0.48263 126 24.12 0 1.378 127 24.667 0 1.0538 128 26.125 0 1.6236 129 27.387 0 1.2969 130 27.741 0 1.8585 131 27.862 0 1.1874 132 27.053 0 1.2204 133 26.306 0 1.8492 134 26.752 0 3.0199 135 26.67 0 2.7648 136 26.192 0 3.0106 137 25.999 0 2.6708 138 26.586 0 0.70191 139 25.991 0 1.3457 140 26.312 0 1.5477 141 26.328 0 2.2518 142 25.819 0 1.8465 143 25.083 0 1.4424 144 25.089 0 2.5549 145 25.777 0 3.6966 146 26.342 0 3.4787 147 26.768 0 2.4198 148 27.501 0 2.1006 149 27.809 0 1.5462 150 27.803 0 0.8109 151 27.584 0 1.2494 152 26.646 0 3.0511 153 25.867 0 3.5431 154 25.907 0 2.5427 155 25.542 0 3.1318 156 25.722 0 2.037 157 25.516 0 1.9581 158 25.939 0 1.7157 159 26.338 0 0.35059 160 25.136 0 2.0999 161 24.118 0 2.8053 162 23.99 0 2.7808 163 23.723 0 2.4086 164 22.894 0 2.7467 165 22.683 0 1.8673 166 22.625 0 2.0139 167 22.491 0 1.9437 168 22.804 0 1.7263 169 22.99 0 1.3721 170 23.157 0 1.0325 171 23.212 0 1.3909 172 23.415 0 1.2926 173 23.636 0 1.2405 174 24.368 0 1.3886 175 25.207 0 0.56602 176 25.341 0 0.35277 177 25.365 0 1.3711 178 25.66 0 1.5253 179 25.567 0 1.4259 180 25.236 0 1.3055 181 24.002 0 1.9848 182 23.027 0 1.0452 183 22.421 0 1.1961 184 21.311 0 1.5238 185 21.661 0 1.0348 186 21.272 0 2.326 187 21.162 0 2.7155 188 21.042 0 2.4991 189 21.061 0 1.7335 190 21.094 0 1.7873 191 20.914 0 1.9941 192 20.128 0 2.5307 193 18.897 0 2.9157 194 19.123 0 2.1803 195 18.843 0 2.8203 196 18.54 0 4.4012 197 19.037 0 3.8861 198 19.074 0 3.8648 199 18.724 0 3.8632 200 18.365 0 3.5778 201 17.787 0 4.198 202 18.432 0 3.3055 203 18.41 0 3.3549 204 18.416 0 3.5163 205 19.078 0 3.4896 206 19.632 0 3.4926 207 19.858 0 3.1664 208 20.274 0 3.0398 209 21.103 0 1.4938 210 20.693 0 2.472 211 19.921 0 1.9173 212 19.416 0 2.4333 213 18.668 0 2.3755 214 18.202 0 1.8526 215 17.664 0 1.9133 216 17.438 0 2.2104 217 16.738 0 3.8453 218 16.426 0 3.2372 219 16.247 0 1.6431 220 16.391 0 1.0793 221 16.148 0 1.9311 222 15.796 0 1.5532 223 15.3 0 2.2672 224 15.082 0 2.7462 225 14.899 0 2.5727 226 14.547 0 2.6387 227 14.415 0 1.7405 228 14.215 0 2.2352 229 13.876 0 2.7213 230 14.03 0 2.0353 231 14.191 0 1.393 232 14.092 0 1.8355 233 14.086 0 1.337 234 13.969 0 1.2517 235 13.732 0 1.1441 236 13.611 0 0.75864 237 13.922 0 2.4907 238 14.055 0 2.769 239 14.168 0 1.6978 240 13.579 0 2.2417 241 13.029 0 2.3878 242 12.748 0 3.1709 243 12.274 0 4.5088 244 12.528 0 4.0623 245 12.719 0 3.5722 246 12.65 0 3.7064 247 12.671 0 2.1508 248 12.24 0 3.1612 249 12.246 0 2.2899 250 11.911 0 2.5017 251 12.336 0 2.9444 252 12.342 0 2.8472 253 12.367 0 3.1803 254 12.645 0 3.8729 255 13.105 0 4.4006 256 13.679 0 3.1319 257 13.867 0 1.7276 258 13.504 0 2.5551 259 13.092 0 2.7706 260 13.055 0 3.1381 261 13.003 0 3.5968 262 13.532 0 2.2532 263 13.768 0 0.87481 264 13.567 0 1.5449 265 13.336 0 1.4654 266 13.161 0 1.7114 267 13.28 0 2.1225 268 13.375 0 2.0562 269 13.445 0 2.037 270 12.873 0 2.595 271 13.156 0 2.494 272 14.39 0 1.725 273 15.55 0 1.5024 274 16.073 0 0 275 15.988 0 1.3267 276 16.142 0 1.9206 277 16.812 0 2.5197 278 17.136 0 1.3234 279 17.472 0 2.992 280 18.728 0 3.5049 281 19.843 0 2.3011 282 20.377 0 2.2723 283 21.21 0 2.1987 284 22.115 0 2.0832 285 23.07 0 1.6863 286 23.945 0 1.6587 287 23.979 0 2.3627 288 24.204 0 2.7507 289 24.687 0 1.3064 290 25.091 0 1.842 291 25.618 0 1.7796 292 25.639 0 2.1521 293 26.23 0 1.7003 294 26.576 0 1.6805 295 26.658 0 1.5657 296 26.142 0 1.624 297 25.582 0 2.0045 298 25.602 0 1.5805 299 24.742 0 3.113 300 23.965 0 3.331 301 23.803 0 2.3668 302 23.028 0 3.6613 303 22.725 0 2.1341 304 21.491 0 4.1278 305 20.496 0 3.4092 306 20.456 0 2.3468 307 20.186 0 1.1127 308 19.991 0 1.4775 309 19.847 0 2.2211 310 19.729 0 1.9773 311 19.483 0 1.7724 312 18.902 0 2.6132 313 18.642 0 3.5254 314 18.132 0 4.3723 315 17.905 0 3.3421 316 17.578 0 2.9001 317 17.002 0 3.1964 318 16.448 0 4.43 319 15.443 0 3.5433 320 15.044 0 1.5198 321 14.226 0 2.0247 322 13.806 0 1.1741 323 13.693 0 1.4593 324 13.356 0 2.0975 325 13.561 0 2.3788 326 13.816 0 1.7971 327 14.108 0 1.3924 328 15.067 0 0.97972 329 15.814 0 1.0426 330 16.739 0 1.2065 331 17.658 0 0.8547 332 17.886 0 0.19821 333 17.917 0 0.19577 334 17.947 0 0.87749 335 18.13 0 0.85061 336 17.574 0 1.3722 337 16.976 0 0.848 338 16.229 0 1.0688 339 15.554 0 1.294 340 14.959 0 1.208 341 14.289 0 0.89804 342 13.561 0 1.4102 343 13.61 0 2.5685 344 14.103 0 4.4401 345 14.503 0 5.0372 346 15.096 0 2.3401 347 14.372 0 2.2982 348 14.855 0 3.7484 349 15.52 0 3.7896 350 16.338 0 2.4868 351 16.254 0 3.1586 352 16.801 0 3.1198 353 17.574 0 2.0965 354 17.913 0 2.0455 355 18.081 0 5.1275 356 18.709 0 4.985 357 19.009 0 3.782 358 19.633 0 2.0602 359 19.662 0 1.0741 360 19.428 0 1.7203 361 19.598 0 1.7789 362 19.762 0 2.1721 363 20.044 0 1.7375 364 20.769 0 1.0353 365 21.142 0 1.8824 366 21.35 0 2.1151 367 21.762 0 1.0546 368 21.977 0 0.41657 369 21.833 0 0.99794 370 21.662 0 1.2582 371 21.018 0 1.3263 372 20.132 0 1.6709 373 19.412 0 1.8025 374 18.891 0 1.7677 375 18.283 0 2.4382 376 18.847 0 2.1671 377 19.475 0 1.625 378 19.713 0 1.5938 379 20.307 0 1.5115 380 20.851 0 1.4184 381 21.515 0 1.4043 382 22.225 0 0.41222 383 22.118 0 0.98716 384 21.876 0 2.6839 385 21.954 0 2.4033 386 21.248 0 2.807 387 20.834 0 2.0521 388 20.555 0 1.5278 389 20.453 0 1.0823 390 21.058 0 1.0868 391 20.964 0 2.507 392 21.111 0 2.4478 393 21.172 0 2.103 394 21.439 0 1.7623 395 21.915 0 1.6882 396 22.216 0 2.7663 397 22.971 0 1.4301 398 22.497 0 1.9043 399 22.534 0 2.8964 400 23.623 0 1.613 401 23.79 0 1.955 402 23.433 0 1.6492 403 22.675 0 2.4743 404 23.199 0 1.7685 405 23 0 2.393 406 23.486 0 2.4954 407 23.478 0 2.3944 408 22.786 0 2.8523 409 22.187 0 2.1713 410 22.399 0 1.1768 411 21.929 0 2.9331 412 21.414 0 1.366 413 20.009 0 1.8667 414 19.548 0 1.5056 415 19.002 0 1.2994 416 18.206 0 2.1924 417 17.748 0 2.2556 418 17.15 0 1.8679 419 15.889 0 2.1016 420 15.233 0 1.8089 421 15.926 0 1.1981 422 16.469 0 1.6786 423 17.014 0 0.47518 424 17.061 0 0.99704 425 17.546 0 0.65596 426 19.081 0 1.2818 427 20.41 0 2.4545 428 21.47 0 3.4061 429 22.489 0 1.7618 430 22.767 0 1.8489 431 23.508 0 1.1919 432 23.932 0 1.7305 433 24.338 0 2.4925 434 24.836 0 1.8807 435 24.879 0 2.1543 436 25.605 0 1.0832 437 25.372 0 1.4654 438 25.046 0 1.4013 439 24.817 0 2.8558 440 25.96 0 3.1567 441 26.996 0 2.536 442 27.065 0 1.3271 443 26.342 0 1.212 444 25.595 0 0.95548 445 24.876 0 0.85667 446 24.833 0 1.4822 447 24.799 0 2.0676 448 24.681 0 2.1669 449 24.679 0 2.6691 450 24.666 0 2.6367 451 24.387 0 2.0601 452 23.466 0 1.4299 453 22.488 0 1.3322 454 21.495 0 1.6484 455 20.95 0 2.3585 456 21.056 0 3.0716 457 21.02 0 2.7887 458 20.936 0 2.6229 459 20.698 0 1.0135 460 20.805 0 0.82593 461 20.507 0 1.5695 462 20.023 0 1.1577 463 19.428 0 1.0884 464 19.456 0 0 465 18.755 0 1.8414 466 18.212 0 1.9031 467 17.724 0 2.0938 468 17.192 0 2.1189 469 17.036 0 2.3264 470 17.215 0 0.94412 471 17.275 0 1.6706 472 17.7 0 1.8399 473 18.036 0 2.4998 474 18.432 0 1.489 475 18.708 0 1.1303 476 18.654 0 1.9943 477 18.563 0 2.0234 478 18.611 0 1.7038 479 18.006 0 0.63661 480 17.986 0 0.5417 481 18.313 0 0.98943 482 18.449 0 1.2106 483 17.504 0 1.0586 484 17.348 0 1.5347 485 17.347 0 1.5107 486 17.842 0 1.7271 487 18.811 0 1.0645 488 19.548 0 0.89278 489 19.467 0 1.1769 490 19.905 0 1.8479 491 20.283 0 2.0437 492 20.08 0 2.067 493 20.232 0 1.129 494 20.039 0 0.93745 495 19.726 0 0.91368 496 19.306 0 1.1001 497 19.181 0 0.68918 498 18.847 0 1.2359 499 18.747 0 0.64603 500 18.617 0 0.74952 501 17.55 0 2.3677 502 16.897 0 1.8725 503 15.579 0 1.3862 504 14.453 0 0.99504 505 14.311 0 0.80506 506 13.226 0 1.1079 507 12.123 0 0.71336 508 10.489 0 0.47153 509 9.6021 0 0.51006 510 8.5452 0 1.0028 511 8.3034 0 1.3778 512 7.4328 0 1.442 513 6.1341 0 1.3562 514 4.7792 0 0.95961 515 4.7193 0 0.47167 516 4.0409 0 1.1035 517 3.4578 0 1.1629 518 3.4203 0 0.2308 519 3.3165 0 0.78149 520 3.2378 0 0.72539 521 3.1301 0 1.526 522 3.3771 0 1.2483 523 3.636 0 0.94624 524 3.7241 0 0.88212 525 3.4103 0 1.6587 526 3.3553 0 0.30723 527 2.971 0 1.3073 528 2.6173 0 0.9373 529 1.756 0 2.3154 530 0.78369 0 2.207 531 0.026371 0 2.4812 532 0.0157 0 0.085209 533 6.814e-15 0 0.11656 534 6.814e-15 0 0