1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.17587 7 0.026374 0 0.20717 8 0.058954 0 0.19057 9 0.088195 0 0.1663 10 0.11275 0 0.097222 11 0.12529 0 0.10364 12 0.13887 0 0.1002 13 0.15188 0 0.12108 14 0.16835 0 0.11181 15 0.18325 0 0 16 0.18325 0 0.26172 17 0.20301 0 0.41791 18 0.21616 0 0.19057 19 0.18358 0 0.20717 20 0.15721 0 0.17587 21 0.15721 0 0 22 0.15721 0 0.47235 23 0.25827 0 0.71882 24 0.39157 0 0.2876 25 0.43355 0 0.80883 26 0.52261 0 0.95802 27 0.58869 0 2.1157 28 1.1367 0 0 29 1.1236 0 0.98521 30 1.7881 0 0.84625 31 2.5489 0 0.99018 32 3.2931 0 1.0007 33 3.9987 0 1.0531 34 4.5423 0 0.50559 35 4.4273 0 1.293 36 4.9502 0 1.2403 37 5.5849 0 1.0275 38 6.0892 0 1.7059 39 6.6169 0 1.9618 40 7.25 0 0.86689 41 7.3257 0 0.10349 42 7.3257 0 0 43 7.3257 0 0 44 7.3031 0 0.15607 45 7.2725 0 0.19734 46 7.1914 0 0.91202 47 7.2246 0 0.77983 48 7.2727 0 1.3489 49 7.4985 0 1.1644 50 7.7568 0 1.2495 51 8.0209 0 0.77091 52 8.193 0 0.72935 53 8.3551 0 0.56701 54 8.4886 0 0.86265 55 8.6702 0 0.44589 56 8.7631 0 0 57 8.7455 0 0.5425 58 8.8298 0 0.43567 59 8.9196 0 0.50227 60 9.0109 0 0.83757 61 9.2264 0 0.71328 62 9.4222 0 0.7004 63 9.6116 0 0.67884 64 9.7911 0 1.0797 65 10.739 0 1.0032 66 11.565 0 1.2704 67 12.191 0 1.3189 68 12.077 0 1.2526 69 11.446 0 1.4154 70 10.567 0 2.41 71 9.9952 0 1.9224 72 9.2505 0 1.8171 73 8.9377 0 2.7919 74 8.7124 0 2.9719 75 8.5043 0 3.3113 76 7.742 0 3.3459 77 7.2005 0 2.7383 78 6.8048 0 1.9623 79 6.4272 0 0.98772 80 5.9668 0 1.0904 81 5.8692 0 0.8665 82 5.5878 0 1.2414 83 5.6232 0 0.093855 84 5.5944 0 0.21701 85 5.5944 0 0.085074 86 5.5847 0 0.66766 87 5.6476 0 0.80978 88 5.7343 0 0.81724 89 5.6601 0 1.2361 90 5.5569 0 0.97563 91 5.4008 0 0.94743 92 5.2574 0 0.79625 93 5.2287 0 0.37829 94 5.1317 0 0.64504 95 5.0199 0 0.64303 96 4.9219 0 0.55868 97 4.8784 0 0.58214 98 4.8687 0 1.0034 99 4.9078 0 1.7814 100 5.4957 0 1.4499 101 6.2864 0 1.1333 102 7.102 0 1.0825 103 7.9051 0 0.98477 104 8.6733 0 1.0103 105 9.4171 0 1.0421 106 10.119 0 0.99934 107 10.634 0 0 108 10.634 0 0.0844 109 10.596 0 0.62045 110 10.067 0 1.5665 111 9.3785 0 1.4134 112 8.6335 0 1.5278 113 7.8945 0 1.3271 114 7.1118 0 1.1958 115 6.3326 0 1.1304 116 5.5748 0 1.1893 117 4.9304 0 1.5859 118 4.7881 0 0.83719 119 4.6001 0 1.0284 120 4.53 0 0.76421 121 4.5114 0 0.91182 122 4.5022 0 1.1397 123 4.5183 0 0.7693 124 4.3171 0 1.8589 125 4.4027 0 1.0667 126 4.5292 0 0.35209 127 4.0862 0 2.2647 128 3.6434 0 2.7426 129 3.8253 0 2.4461 130 4.0059 0 1.1753 131 4.1939 0 0.23262 132 4.0831 0 1.4357 133 4.6734 0 1.0722 134 5.4155 0 1.0034 135 6.1197 0 1.167 136 6.7947 0 1.3122 137 7.4276 0 1.6284 138 7.6007 0 1.4542 139 8.3151 0 1.8203 140 9.2755 0 1.4448 141 10.067 0 1.7121 142 10.243 0 1.5804 143 10.526 0 1.1062 144 10.639 0 2.0767 145 10.255 0 3.0296 146 10.54 0 1.3812 147 10.128 0 2.9 148 10.021 0 2.664 149 9.75 0 1.9703 150 9.3711 0 1.2881 151 8.9751 0 0.92309 152 8.5078 0 1.4109 153 8.7614 0 1.1293 154 9.0108 0 0.99611 155 9.1551 0 0.33105 156 8.402 0 1.3739 157 7.7559 0 1.3686 158 7.8535 0 0.46654 159 7.8358 0 1.1441 160 8.0527 0 0.88317 161 8.2816 0 1.2578 162 8.5813 0 0.60043 163 8.6907 0 1.2666 164 9.0012 0 0.86696 165 9.246 0 1.0191 166 9.5111 0 1.0043 167 9.7673 0 0 168 9.7673 0 0 169 9.7673 0 0.10163 170 9.7806 0 0.61351 171 9.8895 0 0.56951 172 9.9878 0 0.085209 173 9.9985 0 0.41427 174 10.072 0 0.96603 175 10.029 0 1.5292 176 9.935 0 2.4714 177 10.134 0 2.2862 178 10.316 0 2.2343 179 10.691 0 1.4591 180 10.817 0 1.9223 181 10.905 0 1.434 182 10.802 0 1.5384 183 10.792 0 0.74994 184 10.625 0 1.1355 185 10.382 0 1.5347 186 10.164 0 1.9116 187 10.369 0 2.1291 188 10.391 0 2.7438 189 10.494 0 2.2051 190 10.009 0 2.0981 191 9.555 0 2.1007 192 9.2325 0 1.6131 193 9.0598 0 1.0266 194 9.6326 0 0.97297 195 9.9244 0 1.6249 196 9.9685 0 2.4461 197 9.3793 0 2.2063 198 8.9301 0 1.4025 199 8.9083 0 0.15135 200 8.8865 0 0.59078 201 9.4636 0 1.2267 202 9.9446 0 1.4611 203 10.286 0 1.9197 204 10.762 0 1.4271 205 10.501 0 1.4337 206 10.155 0 1.4651 207 10.273 0 0.88437 208 10.394 0 0.75634 209 10.409 0 0.97718 210 9.7225 0 1.2706 211 8.8121 0 1.0773 212 8.5303 0 1.2277 213 8.2584 0 1.3806 214 8.8254 0 0.23439 215 8.8096 0 1.2351 216 9.3695 0 1.6288 217 10.255 0 1.6098 218 10.249 0 1.7041 219 10.138 0 2.4025 220 10.196 0 2.0748 221 10.945 0 1.2471 222 11.424 0 1.239 223 11.772 0 0.40792 224 11.814 0 1.2997 225 11.637 0 1.2635 226 11.412 0 1.0229 227 10.841 0 1.3415 228 10.91 0 1.1473 229 11.098 0 1.1905 230 11.287 0 0.42468 231 11.129 0 2.6625 232 11.389 0 2.654 233 11.663 0 1.9379 234 11.748 0 1.5149 235 11.778 0 1.5142 236 11.97 0 0.26426 237 11.975 0 0.32258 238 11.959 0 0.29662 239 11.908 0 0.33826 240 11.839 0 0.71004 241 11.801 0 0.76263 242 11.71 0 1.8136 243 11.93 0 1.9157 244 12.23 0 1.7326 245 12.534 0 1.6527 246 12.815 0 1.6057 247 13.077 0 1.6465 248 13.478 0 1.6322 249 13.835 0 1.7812 250 14.162 0 0.42309 251 14.082 0 1.4114 252 14.246 0 1.7957 253 14.176 0 2.2426 254 14.192 0 1.658 255 13.75 0 2.0858 256 13.129 0 1.7115 257 12.353 0 0.9844 258 11.28 0 1.1505 259 10.201 0 1.6248 260 9.2734 0 1.9175 261 8.7889 0 1.7937 262 8.2498 0 1.6257 263 8.2433 0 1.5826 264 8.7509 0 1.7418 265 9.246 0 1.9512 266 9.7813 0 2.129 267 10.314 0 2.0982 268 10.802 0 2.2555 269 11.412 0 2.3267 270 11.166 0 2.3999 271 10.661 0 2.7296 272 10.15 0 4.3166 273 10.859 0 3.8056 274 11.62 0 2.834 275 12.425 0 0.63971 276 12.539 0 0.10077 277 12.512 0 0.43957 278 12.516 0 1.1825 279 12.75 0 0.8733 280 12.875 0 1.8216 281 13.417 0 1.98 282 14.01 0 1.6616 283 14.352 0 1.6935 284 14.825 0 1.8963 285 15.766 0 1.8015 286 16.144 0 2.0675 287 16.567 0 1.8233 288 17.353 0 1.4697 289 17.947 0 0.082523 290 17.937 0 0.21228 291 17.955 0 0 292 17.955 0 0.85379 293 18.234 0 0.96309 294 18.621 0 0.9519 295 18.502 0 1.4616 296 18.164 0 1.8366 297 17.891 0 2.0059 298 17.304 0 1.616 299 16.949 0 2.2241 300 16.593 0 1.7109 301 16.165 0 1.9285 302 16.764 0 1.9076 303 17.374 0 2.066 304 17.952 0 2.248 305 18.468 0 2.2833 306 18.813 0 2.125 307 19.05 0 2.2591 308 19.003 0 2.6102 309 19.142 0 2.3388 310 19.578 0 2.5028 311 20.191 0 2.4938 312 20.681 0 2.7816 313 21.044 0 2.6929 314 20.973 0 1.9628 315 20.267 0 1.8231 316 19.587 0 1.7439 317 18.895 0 1.2197 318 18.943 0 0.92985 319 19.126 0 1.3433 320 18.776 0 2.13 321 18.28 0 2.1611 322 17.339 0 3.0324 323 16.869 0 3.0756 324 16.436 0 2.9946 325 15.964 0 2.0931 326 15.556 0 1.7142 327 15.242 0 1.6184 328 14.845 0 2.1413 329 14.234 0 1.7578 330 13.564 0 1.4817 331 13.064 0 1.2065 332 13.076 0 0.087787 333 12.563 0 1.9332 334 12.742 0 2.3418 335 12.963 0 3.0339 336 13.263 0 2.9274 337 13.717 0 2.5363 338 14.343 0 2.5328 339 14.219 0 2.5648 340 14.582 0 3.8137 341 15.192 0 3.7105 342 15.941 0 3.1286 343 16.301 0 3.149 344 16.37 0 3.0571 345 16.525 0 2.3754 346 16.545 0 2.7216 347 16.739 0 2.8944 348 17.059 0 2.8001 349 17.125 0 2.7175 350 17.199 0 2.293 351 17.075 0 1.964 352 16.635 0 2.776 353 16.415 0 2.4776 354 16.332 0 1.6804 355 15.951 0 2.4197 356 15.515 0 2.5356 357 15.042 0 2.2863 358 14.741 0 2.3115 359 15.159 0 1.4854 360 15.404 0 2.5132 361 15.901 0 2.0042 362 15.935 0 0.98531 363 15.443 0 1.102 364 14.919 0 1.7016 365 14.606 0 2.337 366 14.354 0 2.3756 367 14.502 0 2.7497 368 14.752 0 2.4011 369 14.954 0 1.7758 370 14.336 0 2.0447 371 13.537 0 1.4059 372 12.703 0 1.156 373 11.835 0 1.3318 374 11.92 0 0.28126 375 11.104 0 0.94862 376 10.13 0 0.80019 377 8.8204 0 0.99873 378 7.4723 0 0.86076 379 6.3812 0 1.5046 380 6.6072 0 1.7932 381 7.4065 0 1.815 382 8.6708 0 0.96194 383 9.2851 0 0.89741 384 10.123 0 1.6671 385 10.773 0 1.9572 386 11.594 0 1.4294 387 11.864 0 0.70904 388 11.87 0 1.1848 389 11.848 0 1.1826 390 11.765 0 1.2382 391 11.745 0 0.64031 392 11.699 0 1.7858 393 12.37 0 1.4366 394 13.116 0 1.4393 395 13.849 0 1.5322 396 14.548 0 1.7077 397 15.013 0 1.7171 398 15.54 0 1.8786 399 16.473 0 1.9482 400 17.28 0 2.4395 401 18.113 0 2.1168 402 18.351 0 2.0478 403 18.692 0 0.65986 404 18.652 0 0.28128 405 18.605 0 0.88878 406 18.699 0 0.60388 407 18.793 0 0.86618 408 18.912 0 0.89551 409 19.008 0 0.79643 410 19.077 0 2.205 411 19.342 0 2.163 412 19.475 0 1.4258 413 19.375 0 2.5299 414 19.214 0 2.4628 415 19.022 0 2.9022 416 18.872 0 2.5743 417 18.58 0 2.8306 418 18.998 0 2.6951 419 19.321 0 2.7501 420 19.369 0 2.5004 421 18.892 0 3.2094 422 19.115 0 2.1115 423 18.863 0 2.5319 424 19.127 0 2.0946 425 19.334 0 1.9489 426 19.558 0 0.54033 427 19.649 0 0.098353 428 19.662 0 0 429 19.095 0 1.1531 430 18.429 0 1.7403 431 17.694 0 2.0991 432 17.829 0 1.9568 433 17.507 0 2.1294 434 17.027 0 1.9301 435 16.567 0 1.9454 436 16.782 0 0.69472 437 16.792 0 1.1637 438 16.628 0 1.2424 439 16.446 0 1.7628 440 16.524 0 1.4404 441 16.591 0 1.5065 442 16.256 0 2.8719 443 16.747 0 2.826 444 17.242 0 2.5271 445 17.342 0 2.9386 446 17.155 0 3.1106 447 17.108 0 1.7596 448 16.68 0 2.9529 449 17.22 0 2.3977 450 17.995 0 1.6199 451 18.293 0 1.2856 452 19.069 0 1.7668 453 19.882 0 1.5636 454 20.266 0 1.5407 455 20.066 0 1.993 456 19.835 0 1.5642 457 19.51 0 1.5496 458 19.081 0 1.9499 459 18.757 0 3.4622 460 19.423 0 2.2207 461 19.401 0 1.4249 462 19.759 0 1.0675 463 20.023 0 1.7981 464 20.298 0 1.9814 465 20.583 0 1.7697 466 21.008 0 1.5328 467 21.798 0 1.1442 468 21.972 0 1.5672 469 21.999 0 1.9812 470 22.909 0 1.7741 471 22.539 0 2.1558 472 22.334 0 3.2679 473 22.471 0 3.3305 474 22.55 0 2.4111 475 22.634 0 2.4333 476 22.297 0 2.3625 477 22.132 0 1.9216 478 21.582 0 2.9225 479 20.864 0 2.7202 480 20.447 0 1.6316 481 20.241 0 1.6657 482 19.921 0 1.6344 483 19.722 0 1.7371 484 19.761 0 1.6943 485 20.528 0 1.4164 486 21.371 0 1.4229 487 22.23 0 1.3664 488 23.023 0 1.0687 489 23.588 0 0 490 23.14 0 1.6528 491 23.07 0 1.6715 492 22.915 0 2.0609 493 22.48 0 1.6428 494 22.352 0 1.3055 495 22.106 0 1.2801 496 21.828 0 1.2563 497 21.537 0 1.2121 498 20.981 0 1.8286 499 20.259 0 2.564 500 20.171 0 1.1363 501 20.194 0 0.090391 502 20.013 0 1.2561 503 19.377 0 1.8913 504 18.723 0 1.6186 505 18.187 0 1.6039 506 17.602 0 1.5427 507 16.915 0 1.5495 508 16.446 0 1.9982 509 16.561 0 1.022 510 16.297 0 1.627 511 15.933 0 1.1734 512 16.218 0 1.1086 513 16.6 0 0.98409 514 16.966 0 1.6101 515 17.96 0 1.3123 516 19.067 0 1.3626 517 19.995 0 1.4817 518 20.022 0 1.3646 519 19.798 0 1.9476 520 19.738 0 1.6992 521 19.735 0 1.8768 522 19.535 0 2.6607 523 19.424 0 1.8294 524 18.863 0 1.688 525 18.37 0 1.4604 526 17.941 0 1.2507 527 17.192 0 1.3653 528 16.661 0 1.7437 529 16.443 0 0.96374 530 16.305 0 0.75694 531 16.125 0 0.97445 532 16.114 0 0.085479 533 15.924 0 0.70204 534 15.672 0 0.81507 535 15.268 0 1.2834 536 14.763 0 0.99993 537 13.125 0 0.45204 538 12.399 0 0.84848 539 11.556 0 1.398 540 10.699 0 1.4403 541 10.018 0 0.9037 542 9.0744 0 1.086 543 8.0954 0 0.95699 544 7.8202 0 0.92904 545 7.6226 0 0.85268 546 7.1375 0 1.6324 547 6.6753 0 1.592 548 6.3825 0 0.8723 549 5.5017 0 1.6138 550 4.7175 0 1.4094 551 3.9386 0 1.2217 552 3.2139 0 0.84895 553 2.4317 0 0.7562 554 1.5147 0 0.84538 555 0.68119 0 1.0765 556 0.60318 0 0.39512 557 0.57693 0 0.17519 558 0.47631 0 0.55557 559 0.47631 0 0 560 0.46428 0 0.093995 561 0.44908 0 0.11358 562 0.35025 0 0.53341 563 0.14176 0 1.0032 564 0.042601 0 0.46633 565 1.6688e-14 0 0.25409 566 1.6688e-14 0 0 567 1.6688e-14 0 0 568 1.6688e-14 0 0 569 1.6688e-14 0 0 570 1.6688e-14 0 0 571 1.6688e-14 0 0