1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.098353 7 0.012724 0 0 8 0.012724 0 0.56227 9 0.14449 0 0.70606 10 0.29238 0 0.13447 11 0.31115 0 0.097222 12 0.32369 0 0.80095 13 0.49534 0 1.1035 14 0.60038 0 1.1407 15 1.6543 0 1.0237 16 2.774 0 0.98327 17 3.6935 0 1.0432 18 4.3926 0 1.114 19 5.0027 0 1.2504 20 5.745 0 0.45407 21 7.4345 0 0.54365 22 9.1032 0 0.87589 23 10.532 0 1.1171 24 11.792 0 1.2133 25 12.885 0 1.1796 26 13.353 0 1.9883 27 14.061 0 0.86512 28 14.25 0 0.75742 29 14.437 0 0 30 14.437 0 1.0549 31 15.058 0 1.5248 32 15.818 0 1.4438 33 16.515 0 1.165 34 17.12 0 1.3039 35 17.743 0 0.32034 36 17.792 0 0 37 17.792 0 0.12688 38 17.796 0 1.1615 39 18.26 0 1.3607 40 18.867 0 1.6568 41 19.776 0 1.7983 42 20.634 0 1.8708 43 20.883 0 1.5815 44 20.975 0 1.4895 45 20.983 0 1.3711 46 20.604 0 1.5632 47 20.313 0 1.044 48 19.954 0 2.0402 49 19.928 0 1.5521 50 20.216 0 2.3753 51 20.928 0 1.6038 52 21.375 0 2.5394 53 22.085 0 1.7038 54 22.635 0 0.87049 55 22.703 0 1.4789 56 23.502 0 1.7139 57 24.079 0 1.9521 58 25.19 0 1.7386 59 26.096 0 2.2932 60 27.066 0 3.1134 61 28.088 0 1.1944 62 28.415 0 0.97501 63 28.722 0 0.87545 64 28.852 0 1.5162 65 28.938 0 1.2979 66 29.017 0 0.66407 67 29.792 0 1.56 68 30.444 0 1.3383 69 30.637 0 1.2662 70 30.707 0 2.5261 71 31.139 0 2.4588 72 31.484 0 2.1881 73 31.555 0 2.239 74 32.489 0 2.0134 75 32.642 0 2.6683 76 32.734 0 1.6264 77 32.537 0 1.1117 78 32.933 0 1.9423 79 33.144 0 2.0526 80 33.161 0 2.2743 81 32.481 0 2.856 82 31.709 0 3.298 83 31.394 0 2.5525 84 30.662 0 3.4309 85 29.846 0 1.7601 86 28.539 0 2.7382 87 29.39 0 2.9626 88 29.769 0 3.8119 89 30.015 0 2.9293 90 30.485 0 2.1256 91 30.56 0 3.1223 92 30.646 0 3.4143 93 30.438 0 1.7906 94 29.921 0 1.5919 95 29.756 0 1.6445 96 30.336 0 3.2405 97 31.283 0 2.6985 98 31.823 0 2.8765 99 31.874 0 2.4522 100 31.532 0 1.7636 101 31.235 0 2.8081 102 31.305 0 2.0716 103 31.984 0 0.97208 104 31.347 0 2.8177 105 30.901 0 2.1928 106 29.946 0 1.9111 107 29.831 0 2.7263 108 29.192 0 2.3279 109 28.444 0 2.4482 110 27.598 0 2.0648 111 27.243 0 1.2746 112 27.584 0 0.68792 113 27.682 0 1.134 114 27.792 0 1.5268 115 28.204 0 1.3788 116 28.667 0 0 117 28.428 0 0.89258 118 28.684 0 0.95767 119 28.99 0 0.71395 120 29.191 0 1.0384 121 29.339 0 1.5328 122 29.517 0 1.3613 123 29.527 0 2.2384 124 29.208 0 1.403 125 28.745 0 1.0224 126 28.063 0 1.0415 127 27.44 0 0.6111 128 27.441 0 0.14619 129 27.327 0 0.62415 130 26.507 0 1.4495 131 26.017 0 1.3362 132 25.442 0 0.82404 133 24.601 0 0.96956 134 24.265 0 0.92752 135 24.287 0 1.629 136 23.081 0 2.4913 137 21.725 0 2.9235 138 21.156 0 2.2959 139 20.577 0 1.4897 140 20.127 0 1.8481 141 19.918 0 1.0931 142 20.735 0 1.81 143 21.529 0 1.8825 144 21.993 0 2.1941 145 22.311 0 2.4101 146 22.757 0 2.3718 147 22.724 0 2.7266 148 22.11 0 3.3414 149 21.976 0 2.7094 150 21.66 0 1.79 151 20.757 0 2.2215 152 20.427 0 2.5512 153 20.302 0 1.5978 154 19.593 0 2.7037 155 18.729 0 2.3208 156 18.027 0 1.8526 157 17.599 0 2.3028 158 17.487 0 2.4278 159 16.94 0 1.9587 160 16.679 0 1.8402 161 15.943 0 2.5388 162 15.323 0 2.5318 163 14.651 0 2.3535 164 14.415 0 1.94 165 14.015 0 2.5817 166 13.619 0 1.7191 167 12.527 0 2.5256 168 12.223 0 2.052 169 12.181 0 1.7549 170 12.771 0 0.9066 171 13.082 0 0.87601 172 12.701 0 3.01 173 12.396 0 2.3915 174 12.674 0 1.4441 175 12.636 0 2.1518 176 12.715 0 2.4278 177 13.182 0 2.0558 178 13.331 0 2.3207 179 13.228 0 2.4369 180 12.705 0 2.3886 181 12.085 0 2.2686 182 11.654 0 1.744 183 11.402 0 0.83695 184 11.1 0 0.94642 185 11.125 0 2.3503 186 11.697 0 2.8847 187 11.898 0 2.534 188 11.583 0 2.1656 189 11.462 0 2.4454 190 12.746 0 2.6208 191 13.923 0 3.0272 192 14.836 0 3.0648 193 15.435 0 2.0344 194 15.989 0 1.5213 195 16.437 0 1.2813 196 16.772 0 1.2949 197 17.027 0 2.0853 198 17.112 0 2.4562 199 17.103 0 2.4473 200 17.08 0 2.0786 201 16.797 0 2.3687 202 16.638 0 2.2961 203 16.171 0 2.4313 204 15.46 0 2.4337 205 14.699 0 2.4278 206 13.871 0 2.974 207 14.589 0 2.48 208 14.64 0 2.6192 209 14.351 0 3.4767 210 14.262 0 3.1794 211 14.444 0 1.5586 212 14.66 0 1.0607 213 14.855 0 1.1432 214 15.028 0 1.1395 215 15.213 0 1.14 216 16.081 0 0.94447 217 17.028 0 0.80801 218 17.869 0 0.97211 219 18.703 0 1.0404 220 19.472 0 0.6707 221 19.49 0 0.66928 222 19.505 0 0.47539 223 19.534 0 0.33886 224 19.544 0 0.496 225 19.44 0 1.4686 226 19.384 0 1.61 227 19.367 0 1.2948 228 18.625 0 1.4586 229 17.985 0 1.744 230 17.859 0 1.5078 231 17.765 0 1.2636 232 17.646 0 1.5267 233 18.193 0 2.0325 234 18.442 0 3.1209 235 19.141 0 2.8369 236 19.471 0 3.244 237 19.516 0 4.2988 238 20.089 0 3.4383 239 20.396 0 3.4172 240 20.479 0 2.9854 241 20.308 0 3.6685 242 20.227 0 3.3791 243 20.665 0 2.8367 244 20.809 0 3.3415 245 20.779 0 3.6143 246 21.195 0 2.0532 247 21.619 0 1.8112 248 21.659 0 1.2221 249 21.567 0 1.2901 250 21.358 0 1.0643 251 20.984 0 1.8957 252 21.129 0 1.9247 253 20.933 0 2.0051 254 21.248 0 1.5191 255 21.324 0 1.7297 256 21.103 0 1.7019 257 20.458 0 1.6342 258 21.06 0 2.6997 259 22.107 0 2.4685 260 22.71 0 2.1165 261 22.708 0 1.4639 262 22.526 0 1.3386 263 22.499 0 1.471 264 22.509 0 2.0846 265 23.013 0 3.1085 266 23.403 0 3.2374 267 24.448 0 2.7332 268 24.766 0 2.3137 269 25.037 0 1.7768 270 25.165 0 2.3099 271 24.848 0 2.355 272 24.212 0 2.4616 273 23.977 0 2.764 274 23.605 0 3.6359 275 24.768 0 2.4635 276 25.697 0 2.131 277 25.758 0 2.6808 278 25.635 0 2.4276 279 25.778 0 2.5207 280 25.72 0 2.9392 281 25.203 0 3.1938 282 25.338 0 3.3607 283 25.788 0 3.0091 284 26.02 0 2.2853 285 26.413 0 2.4937 286 26.001 0 3.1277 287 25.422 0 2.8388 288 24.385 0 3.153 289 23.348 0 3.6234 290 22.704 0 2.3305 291 22.214 0 1.7713 292 21.818 0 3.034 293 21.328 0 3.951 294 21.453 0 2.849 295 21.183 0 2.9875 296 20.701 0 2.6583 297 20.126 0 2.3343 298 19.654 0 2.204 299 19.424 0 2.567 300 18.93 0 3.3893 301 19.728 0 2.7351 302 20.379 0 2.2953 303 20.777 0 2.7445 304 21.364 0 1.9249 305 21.413 0 0.55121 306 21.196 0 1.2233 307 21.069 0 1.3349 308 20.741 0 2.4792 309 20.394 0 2.3362 310 19.983 0 2.392 311 19.72 0 1.9322 312 20.923 0 1.3285 313 22.309 0 1.4894 314 23.543 0 1.574 315 24.572 0 1.9621 316 25.081 0 1.667 317 25.464 0 1.8837 318 25.401 0 2.1768 319 25.358 0 1.8357 320 25.594 0 1.4283 321 25.261 0 2.8779 322 25.486 0 1.191 323 26.17 0 2.2749 324 25.814 0 3.0191 325 25.209 0 2.8428 326 24.508 0 1.5073 327 24.422 0 0.68089 328 24.229 0 1.2924 329 23.739 0 2.3786 330 23.248 0 2.2809 331 23.268 0 2.7211 332 23.653 0 2.2488 333 23.657 0 2.2637 334 24.543 0 1.8809 335 24.506 0 2.9719 336 25.002 0 2.1376 337 25.239 0 1.7629 338 24.3 0 2.1347 339 23.931 0 2.1207 340 23.454 0 3.6051 341 23.549 0 2.9246 342 23.843 0 2.2704 343 24.522 0 2.2147 344 25.146 0 1.8224 345 25.055 0 3.1448 346 25.14 0 3.3857 347 25.053 0 2.6038 348 24.638 0 2.0985 349 24.324 0 1.914 350 24.338 0 0.55944 351 24.315 0 0.44323 352 24.341 0 0.087514 353 23.927 0 1.1921 354 23.525 0 1.6386 355 22.541 0 2.3337 356 21.648 0 1.7454 357 20.502 0 1.7433 358 19.198 0 1.6011 359 19.347 0 1.4116 360 19.511 0 2.0761 361 19.896 0 2.8945 362 20.317 0 2.6026 363 21.245 0 1.8117 364 21.68 0 1.0672 365 21.208 0 2.2219 366 21.453 0 2.1309 367 21.63 0 2.6196 368 21.782 0 3.0288 369 22.168 0 3.9277 370 22.563 0 3.8392 371 22.895 0 3.1103 372 23.038 0 2.9321 373 23.082 0 2.2931 374 23.145 0 2.1129 375 23.271 0 1.0483 376 23.147 0 0.96289 377 23.066 0 0.86431 378 23.915 0 0.54834 379 24.789 0 0.86013 380 25.507 0 1.1919 381 26.227 0 0.9964 382 26.673 0 2.1664 383 26.33 0 2.0934 384 25.963 0 1.7663 385 26.508 0 1.0931 386 27.108 0 1.0709 387 27.515 0 2.0194 388 27.896 0 2.5712 389 28.383 0 1.955 390 28.431 0 2.2548 391 27.452 0 0.87677 392 27.053 0 1.7577 393 26.989 0 1.0684 394 26 0 2.1834 395 24.936 0 2.487 396 24.109 0 2.0055 397 22.701 0 1.7232 398 21.082 0 1.7717 399 20.263 0 2.1559 400 20.739 0 1.769 401 21.156 0 1.4233 402 21.35 0 1.6589 403 20.924 0 1.238 404 20.644 0 1.0424 405 20.197 0 1.1067 406 19.666 0 1.082 407 19.142 0 1.069 408 19.227 0 1.4803 409 19.164 0 1.36 410 19.144 0 1.3327 411 19.129 0 2.1385 412 18.776 0 2.8092 413 18.502 0 2.8279 414 18.765 0 2.3242 415 19.322 0 1.2189 416 19.825 0 1.5309 417 20.31 0 1.4979 418 20.689 0 1.9943 419 21.295 0 1.9872 420 21.428 0 1.7394 421 20.64 0 2.5235 422 21.032 0 2.3994 423 20.734 0 2.6849 424 20.466 0 2.0453 425 20.261 0 2.8413 426 19.715 0 2.3076 427 18.966 0 1.3394 428 18.813 0 1.7067 429 19.281 0 1.4202 430 20.028 0 0.82681 431 20.93 0 0.12153 432 20.915 0 0.91492 433 21.65 0 0.69883 434 22.462 0 0.74861 435 23.202 0 0.99445 436 23.869 0 1.3493 437 24.351 0 0.62653 438 24.274 0 0.89465 439 24.292 0 0.58219 440 23.779 0 1.4976 441 23.152 0 1.0586 442 22.453 0 0.95443 443 21.724 0 1.0075 444 21.094 0 1.1737 445 21.181 0 0.098636 446 20.287 0 1.1827 447 19.6 0 1.2183 448 18.888 0 1.3689 449 18.151 0 0.94297 450 18.213 0 1.498 451 18.032 0 2.5903 452 17.786 0 2.8722 453 17.506 0 2.7947 454 17.619 0 1.9939 455 17.43 0 2.53 456 17.515 0 1.9245 457 16.93 0 2.8105 458 16.29 0 2.1917 459 15.47 0 2.3019 460 15.221 0 1.4257 461 14.757 0 1.7372 462 14.118 0 2.5782 463 13.39 0 2.5895 464 13.266 0 0.68631 465 12.976 0 0.95354 466 12.236 0 1.1885 467 11.254 0 1.1087 468 9.9241 0 1.7674 469 8.5479 0 1.8475 470 8.3541 0 1.3492 471 8.1278 0 0.89365 472 7.7018 0 1.5109 473 8.0266 0 1.6031 474 8.3601 0 1.9212 475 8.3511 0 2.3604 476 8.5232 0 2.2014 477 8.3493 0 1.747 478 8.067 0 1.0583 479 8.0171 0 0.33026 480 7.9341 0 1.2942 481 8.7407 0 1.8605 482 9.6149 0 1.8776 483 10.455 0 1.7625 484 11.222 0 1.8585 485 11.239 0 1.4167 486 11.078 0 1.1686 487 10.607 0 1.2194 488 10.912 0 1.0872 489 10.831 0 0.74321 490 11.694 0 0.46855 491 12.558 0 0.64205 492 13.329 0 0.74363 493 13.234 0 0.50225 494 13.085 0 0.79932 495 12.931 0 0.87126 496 12.844 0 0.52189 497 12.776 0 0.36104 498 11.796 0 0.61548 499 10.823 0 0.27133 500 9.8453 0 0.15295 501 8.854 0 0.072597 502 7.9106 0 0.36459 503 7.9285 0 0.77866 504 7.4055 0 1.3795 505 7.1645 0 1.29 506 6.8544 0 1.2102 507 6.5791 0 0.87246 508 6.9003 0 0.75563 509 7.1179 0 0 510 7.0976 0 0.14316 511 7.0976 0 0 512 6.5703 0 0.99786 513 5.7828 0 1.6918 514 5.0072 0 1.8814 515 4.2681 0 1.9071 516 4.1907 0 1.9387 517 4.0295 0 2.0515 518 4.248 0 1.4208 519 4.3936 0 1.3237 520 4.5694 0 0 521 4.5694 0 0.11537 522 4.521 0 0.8182 523 4.4964 0 0.78828 524 4.5037 0 1.1943 525 4.832 0 1.4191 526 5.2267 0 1.2159 527 5.5724 0 1.0511 528 5.8563 0 0.87484 529 5.8627 0 2.8871 530 6.5452 0 1.5032 531 6.8518 0 1.2174 532 7.1192 0 0.95682 533 7.1183 0 1.6046 534 7.2433 0 1.5304 535 7.0439 0 2.6905 536 6.6108 0 2.6087 537 5.9719 0 2.6478 538 5.3333 0 2.5672 539 4.9268 0 2.318 540 4.5858 0 1.7858 541 4.5164 0 1.4396 542 4.6319 0 1.6179 543 4.6235 0 1.6689 544 4.321 0 1.9801 545 3.6676 0 2.426 546 3.6203 0 0.32696 547 3.1867 0 1.7288 548 2.4839 0 2.3483 549 1.8179 0 2.1278 550 1.4529 0 1.5034 551 1.2726 0 0.6807 552 0.7638 0 2.1477 553 0.61914 0 0.71674 554 0.43039 0 0.85121 555 0.17172 0 1.0509 556 1.0769e-14 0 0.80706