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 0.33163 8 0.061058 0 0.29732 9 0.1038 0 1.0774 10 0.75313 0 1.1905 11 1.2138 0 0.46136 12 2.1538 0 0.93673 13 2.8977 0 1.3108 14 3.8201 0 0.99226 15 4.3719 0 0 16 4.3719 0 0.47428 17 5.2702 0 0.25117 18 6.2114 0 0.40517 19 7.1264 0 0.60092 20 8.0604 0 1.1397 21 9.2367 0 1.1277 22 10.28 0 1.1121 23 11.179 0 1.3734 24 11.817 0 1.2479 25 12.542 0 1.157 26 13.295 0 1.1312 27 14.279 0 1.2622 28 15.242 0 1.3882 29 16.185 0 1.548 30 17.04 0 1.2596 31 17.594 0 0.51756 32 17.676 0 0.26826 33 17.714 0 0.10465 34 17.728 0 0.91974 35 17.897 0 0.43184 36 17.96 0 0.74022 37 18.081 0 1.0328 38 18.326 0 0.97398 39 18.448 0 1.0225 40 18.549 0 0 41 18.549 0 0 42 18.549 0 0 43 18.549 0 0 44 18.445 0 0.88994 45 17.786 0 2.115 46 17.058 0 1.9075 47 16.52 0 1.0503 48 15.805 0 1.2599 49 15.132 0 1.0615 50 14.487 0 1.1661 51 13.933 0 1.3247 52 13.499 0 1.6137 53 13.604 0 0.23638 54 13.575 0 0.30154 55 13.36 0 0.86304 56 13.064 0 1.1561 57 12.771 0 1.23 58 12.496 0 1.2001 59 12.513 0 0.38259 60 12.479 0 0.7 61 12.425 0 0.60378 62 11.609 0 1.1764 63 10.86 0 0.86717 64 10.071 0 0.73115 65 9.1998 0 0.57707 66 8.3012 0 0.49679 67 7.4001 0 0.25117 68 6.5018 0 0.47428 69 6.5018 0 0 70 5.95 0 0.99226 71 5.4479 0 1.4727 72 5.0899 0 1.8745 73 4.375 0 1.7677 74 4.0948 0 1.8084 75 5.0296 0 1.344 76 5.3157 0 2.258 77 5.478 0 1.5629 78 6.1117 0 1.1612 79 6.1129 0 0.86196 80 6.941 0 1.0459 81 7.7478 0 0.38121 82 7.6549 0 0.44609 83 7.5424 0 0.50739 84 7.3602 0 0.96629 85 6.3211 0 1.0819 86 5.1758 0 1.1213 87 5.1953 0 0 88 4.4877 0 0.87178 89 3.7355 0 0.80776 90 3.7255 0 0.080793 91 2.9671 0 0.93439 92 2.171 0 0.88841 93 1.479 0 1.0494 94 1.4578 0 0.14796 95 1.4578 0 0 96 1.4578 0 0 97 1.4578 0 0.35959 98 1.5126 0 0.41019 99 1.5786 0 1.0729 100 1.7951 0 0.57114 101 1.8962 0 1.2249 102 2.4584 0 1.1609 103 2.8294 0 1.6957 104 3.3353 0 1.794 105 3.825 0 2.4998 106 4.5576 0 4.9724 107 6.758 0 5.0112 108 9.0108 0 2.0731 109 10.156 0 4.1672 110 11.701 0 2.3947 111 12.677 0 2.3263 112 13.669 0 1.5663 113 14.075 0 1.9956 114 14.496 0 1.5629 115 14.391 0 1.2742 116 14.066 0 2.6514 117 14.311 0 2.7097 118 14.285 0 3.2517 119 14.243 0 3.1555 120 14.536 0 0.98062 121 14.555 0 0.12336 122 14.533 0 0.72006 123 14.41 0 1.2423 124 14.273 0 1.2243 125 14.013 0 1.9191 126 13.782 0 3.1265 127 14.32 0 2.9161 128 14.721 0 1.0649 129 14.712 0 0.3922 130 14.712 0 0.51443 131 15.38 0 1.6673 132 16.095 0 2.8502 133 17.072 0 2.3603 134 18.195 0 1.903 135 18.833 0 2.679 136 18.878 0 2.7798 137 18.835 0 3.601 138 20.088 0 1.934 139 21.35 0 0.87917 140 22.262 0 1.1697 141 23.38 0 1.7779 142 24.475 0 2.1034 143 25.47 0 1.8747 144 26.279 0 1.3233 145 26.468 0 1.4549 146 26.777 0 1.3876 147 26.946 0 2.1564 148 26.904 0 3.1162 149 27.774 0 2.7291 150 28.614 0 1.2864 151 29.321 0 1.7508 152 29.934 0 2.0918 153 30.264 0 2.8377 154 31.06 0 2.4453 155 31.878 0 1.7382 156 33.011 0 1.2198 157 34.549 0 1.7106 158 34.899 0 3.4737 159 35.583 0 2.8565 160 36.112 0 2.2628 161 36.643 0 2.2698 162 36.484 0 2.8236 163 36.371 0 3.0257 164 36.652 0 1.9235 165 36.811 0 1.9471 166 36.891 0 2.6103 167 35.978 0 4.4954 168 34.902 0 4.515 169 34.218 0 2.0696 170 34.071 0 2.2748 171 33.188 0 2.7283 172 32.762 0 2.2913 173 31.463 0 2.7911 174 30.153 0 2.2581 175 28.805 0 2.2556 176 28.321 0 2.9675 177 29.057 0 1.969 178 29.521 0 2.2543 179 30.076 0 2.1835 180 31.253 0 1.9476 181 32.386 0 2.0695 182 32.287 0 1.9216 183 32.034 0 2.397 184 32.323 0 1.8526 185 32.137 0 2.0927 186 31.931 0 2.0312 187 31.58 0 2.3988 188 31.592 0 2.5296 189 32.45 0 2.3719 190 33.33 0 1.9571 191 33.347 0 3.3008 192 33.846 0 2.3923 193 33.106 0 3.0693 194 32.188 0 3.7446 195 31.732 0 2.9459 196 31.54 0 2.1099 197 31.409 0 1.2188 198 31.748 0 0.43092 199 31.604 0 2.2433 200 31.87 0 2.2533 201 31.953 0 2.5991 202 31.784 0 2.8715 203 31.621 0 2.7966 204 31.566 0 2.4448 205 31.554 0 2.4048 206 31.254 0 3.1709 207 30.925 0 3.1152 208 30.416 0 2.9658 209 29.594 0 2.7154 210 29.462 0 1.5436 211 29.167 0 2.9245 212 29.487 0 1.0254 213 29.014 0 2.6614 214 28.067 0 3.091 215 27.379 0 4.0226 216 27.381 0 3.157 217 26.725 0 2.7685 218 25.54 0 2.9159 219 24.744 0 2.3837 220 23.268 0 3.4569 221 22.435 0 2.6883 222 21.459 0 1.7992 223 20.763 0 2.3201 224 21.144 0 2.4552 225 21.231 0 2.698 226 21.516 0 1.9952 227 21.697 0 1.9569 228 21.76 0 2.7528 229 22.225 0 3.091 230 21.793 0 3.8188 231 21.301 0 3.1317 232 21.529 0 2.8833 233 21.743 0 2.9063 234 21.904 0 2.7279 235 22.553 0 2.3747 236 23.156 0 1.2476 237 22.967 0 2.7706 238 23.45 0 2.0184 239 23.96 0 1.4073 240 24.228 0 0.53236 241 24.096 0 0.56247 242 23.843 0 1.1691 243 23.458 0 2.926 244 23.799 0 3.1359 245 23.864 0 3.1746 246 24.139 0 3.2244 247 24.836 0 2.8908 248 25.045 0 2.9854 249 25.046 0 3.0244 250 25.383 0 2.3842 251 25.626 0 1.9564 252 25.88 0 2.3303 253 26.113 0 2.3455 254 26.427 0 1.6667 255 26.696 0 0.98328 256 25.849 0 2.2097 257 25.377 0 2.3517 258 24.93 0 2.0268 259 24.459 0 1.4539 260 23.601 0 1.2507 261 22.67 0 1.2373 262 21.701 0 2.227 263 22.021 0 1.6899 264 22.304 0 1.7766 265 23.252 0 2.124 266 23.251 0 1.453 267 23.095 0 0.97179 268 23.704 0 1.3209 269 23.899 0 2.2202 270 24.566 0 1.8934 271 24.029 0 2.5718 272 23.305 0 2.6915 273 23.548 0 1.8859 274 23.54 0 3.0695 275 23.486 0 4.1714 276 23.467 0 3.2118 277 23.699 0 1.0643 278 23.152 0 3.3757 279 23.236 0 2.7538 280 23.16 0 2.965 281 23.585 0 1.1814 282 23.588 0 1.5561 283 23.313 0 2.2271 284 23.019 0 2.681 285 23.102 0 3.6604 286 23.202 0 3.3372 287 23.308 0 4.0593 288 23.674 0 3.4748 289 23.83 0 3.5385 290 24.079 0 3.1551 291 24 0 2.6433 292 24.763 0 3.1255 293 25.077 0 3.0289 294 25.183 0 3.168 295 25.488 0 3.4694 296 25.205 0 2.8534 297 24.402 0 2.7934 298 23.701 0 3.4421 299 23.233 0 3.0327 300 22.888 0 3.6093 301 23.1 0 2.3352 302 22.501 0 3.6943 303 21.901 0 3.2585 304 21.18 0 2.5451 305 20.475 0 2.1106 306 20.061 0 3.1484 307 20.282 0 3.0237 308 20.256 0 2.8604 309 19.955 0 3.674 310 20.09 0 2.9556 311 21.236 0 3.0857 312 22.395 0 2.5977 313 22.888 0 3.3884 314 23.742 0 2.7247 315 23.913 0 2.8857 316 23.931 0 2.3384 317 23.564 0 2.1321 318 23.577 0 2.116 319 23.607 0 1.787 320 23.413 0 2.0729 321 22.99 0 2.4114 322 23.376 0 0.72741 323 22.993 0 2.2076 324 22.723 0 2.2387 325 22.264 0 2.6741 326 21.992 0 3.032 327 21.414 0 2.6226 328 21.855 0 1.3447 329 22.044 0 2.2346 330 22.281 0 2.9873 331 22.651 0 2.4007 332 22.903 0 2.5236 333 22.793 0 3.1834 334 22.842 0 2.8082 335 22.49 0 3.1934 336 22.125 0 2.7971 337 21.522 0 2.5776 338 21.2 0 1.9677 339 21.331 0 0.72614 340 21.346 0 1.7405 341 21.169 0 2.8568 342 20.952 0 3.169 343 21.124 0 1.247 344 20.95 0 2.4756 345 21.985 0 2.9761 346 23.404 0 2.3304 347 24.583 0 2.8085 348 24.876 0 2.9792 349 24.707 0 2.8673 350 24.812 0 2.9922 351 25.476 0 2.2375 352 25.805 0 3.6204 353 25.752 0 3.4937 354 25.817 0 2.9015 355 25.768 0 2.617 356 25.928 0 2.2062 357 25.349 0 2.2029 358 24.592 0 2.0654 359 23.699 0 2.3667 360 23.448 0 1.7402 361 23.042 0 2.0806 362 22.137 0 2.0162 363 21.746 0 1.7477 364 21.44 0 1.6563 365 21.581 0 1.6558 366 21.919 0 1.1118 367 22.062 0 1.9986 368 22.138 0 2.4195 369 22.367 0 2.3537 370 22.526 0 1.533 371 22.455 0 1.6771 372 22.44 0 1.4491 373 22.633 0 2.0583 374 22.444 0 2.3324 375 21.731 0 2.7808 376 21.111 0 3.4901 377 20.253 0 4.5533 378 19.017 0 4.1398 379 18.314 0 3.9446 380 17.133 0 3.5966 381 16.375 0 3.4445 382 16.24 0 2.1819 383 16.024 0 2.6897 384 15.775 0 3.1323 385 15.747 0 2.556 386 15.709 0 3.029 387 16.448 0 1.4084 388 16.741 0 2.7506 389 17.195 0 2.0169 390 16.828 0 1.6406 391 16.184 0 1.5313 392 16.491 0 1.157 393 17.321 0 0.75136 394 18.082 0 0.84318 395 18.654 0 1.6813 396 18.973 0 2.1744 397 19.246 0 2.4486 398 18.776 0 2.4433 399 19.026 0 2.4133 400 19.243 0 2.6246 401 19.475 0 2.036 402 18.9 0 2.2905 403 18.51 0 1.9481 404 17.947 0 2.3149 405 17.725 0 1.7546 406 17.265 0 2.2303 407 16.709 0 1.8677 408 16.7 0 0.37313 409 15.971 0 1.3109 410 15.238 0 1.1041 411 14.513 0 0.98523 412 14.313 0 0.97963 413 13.33 0 1.2701 414 12.387 0 1.0655 415 11.467 0 0.98705 416 10.507 0 1.1881 417 9.6828 0 0.64639 418 8.7488 0 0.40386 419 8.6888 0 0.38055 420 8.5475 0 1.2634 421 7.6676 0 3.4015 422 8.097 0 3.3863 423 8.3879 0 1.987 424 8.1573 0 1.9683 425 7.3672 0 2.4165 426 6.8315 0 2.254 427 7.0328 0 2.2256 428 7.3826 0 1.3883 429 7.1433 0 1.8038 430 7.4384 0 1.5402 431 7.7313 0 1.732 432 7.9463 0 1.0184 433 8.1342 0 0.24627 434 9.0729 0 0.76705 435 9.9422 0 1.3882 436 10.78 0 1.6074 437 11.533 0 1.7203 438 12.179 0 1.3857 439 12.741 0 1.3181 440 13.638 0 0.60406 441 14.296 0 0.8667 442 14.112 0 1.0481 443 13.959 0 1.1801 444 13.88 0 0.67791 445 13.88 0 0 446 13.88 0 0 447 13.88 0 0 448 13.695 0 1.0324 449 13.681 0 0.19482 450 13.67 0 0.088606 451 13.67 0 0 452 12.817 0 0.78453 453 11.957 0 0.80817 454 11.105 0 0.71096 455 10.195 0 0.4329 456 9.2182 0 0.15516 457 8.2196 0 0.079949 458 7.2472 0 0.11441 459 6.2411 0 0.28046 460 6.2555 0 0.10989 461 6.2298 0 0.19756 462 5.3447 0 1.79 463 4.7204 0 1.5821 464 4.9165 0 0.33241 465 4.5948 0 2.2227 466 4.4218 0 2.2134 467 4.4613 0 1.1751 468 4.5536 0 0.14619 469 4.5301 0 0.16034 470 4.2816 0 1.7922 471 4.3665 0 0.27805 472 4.1356 0 1.6317 473 3.5542 0 2.3227 474 3.2286 0 1.8021 475 3.3301 0 0.79919 476 3.2752 0 2.2666 477 3.5735 0 2.0724 478 4.3302 0 2.9664 479 4.5089 0 1.5566 480 5.5323 0 0.86786 481 6.4524 0 0.62799 482 7.338 0 0.21623 483 7.2012 0 0.55831 484 7.8519 0 1.3077 485 8.6334 0 1.5749 486 9.5975 0 0.35854 487 9.5855 0 1.1394 488 9.9672 0 1.1519 489 10.522 0 1.1746 490 10.694 0 0.71759 491 11.452 0 0 492 11.452 0 0 493 11.452 0 0.26751 494 11.353 0 1.1709 495 11.299 0 0.97693 496 11.361 0 0.094973 497 11.373 0 0 498 11.373 0 0 499 11.172 0 1.2491 500 11.083 0 1.0716 501 10.226 0 1.0539 502 9.3585 0 1.0225 503 8.6528 0 0.74961 504 8.1225 0 0.99735 505 8.0219 0 0.47094 506 6.993 0 0.91636 507 6.0338 0 0.65751 508 5.0705 0 0.64541 509 4.983 0 0.42806 510 4.0756 0 0.51819 511 3.2055 0 0.74085 512 2.3313 0 0.73664 513 2.4138 0 0.92625 514 1.8721 0 1.774 515 2.0244 0 0.41412 516 2.0416 0 0.286 517 1.7565 0 1.8782 518 1.7683 0 0.56965 519 1.7826 0 0.20652 520 1.7138 0 1.2581 521 1.8979 0 0.82806 522 2.0416 0 0.21272 523 1.8244 0 1.2579 524 1.4753 0 1.7233 525 1.8485 0 1.4863 526 2.4081 0 1.2825 527 2.9135 0 0.83662 528 2.9106 0 0.61323 529 3.8369 0 0.722 530 4.6912 0 0.9719 531 5.5254 0 0.35226 532 5.5565 0 0.19143 533 5.5812 0 0.089978 534 5.5726 0 0.25176 535 5.5651 0 0.26981 536 5.5809 0 0.1045 537 4.7728 0 0.67625 538 3.8738 0 0.66733 539 2.9308 0 0.52939 540 2.9308 0 0.99825 541 3.4003 0 1.3061 542 3.064 0 1.3057 543 2.8501 0 1.2311 544 2.5634 0 0.87481 545 2.7112 0 1.7243 546 2.73 0 1.0402 547 2.7102 0 0.13998 548 2.7002 0 0.080926 549 2.69 0 0.082256 550 2.4418 0 0.80842 551 2.0939 0 0.93215 552 1.5791 0 1.453 553 0.90284 0 1.6457 554 0.52461 0 0.95678 555 2.0761e-14 0 0.99825