1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0.090666 5 0.011513 0 0.22641 6 0.042125 0 0.10916 7 0.056597 0 0 8 0.056597 0 0 9 0.056597 0 0.54949 10 0.15646 0 0.84313 11 0.33331 0 1.5846 12 0.71046 0 0.81708 13 0.89194 0 0.3126 14 0.93317 0 1.2499 15 1.3291 0 1.2374 16 1.7043 0 0.79456 17 1.8644 0 0.78234 18 2.0222 0 0.18876 19 2.0465 0 0.090804 20 2.0431 0 0.59062 21 2.1002 0 0.74654 22 2.2105 0 1.2719 23 2.9034 0 1.2211 24 3.6794 0 1.2754 25 4.5451 0 1.355 26 5.4355 0 1.3009 27 5.807 0 0.77694 28 5.9929 0 0.80258 29 6.9627 0 0.89699 30 7.9046 0 0.75691 31 8.7496 0 0.83368 32 9.5731 0 0.99552 33 10.251 0 0.47667 34 10.297 0 0.70395 35 10.38 0 0.77372 36 10.442 0 1.07 37 10.57 0 1.389 38 11.154 0 1.4846 39 11.746 0 1.2137 40 12.252 0 0.98547 41 12.618 0 1.29 42 12.286 0 1.0525 43 11.736 0 1.0697 44 11.056 0 1.4411 45 10.309 0 1.2022 46 10.45 0 1.5045 47 11.572 0 1.6683 48 11.917 0 2.5351 49 12.462 0 1.9891 50 12.87 0 0.96494 51 13.171 0 1.5479 52 13.611 0 1.4874 53 14.058 0 1.4524 54 15.024 0 1.3286 55 15.881 0 1.4459 56 16.636 0 1.9673 57 17.397 0 2.0651 58 17.1 0 3.0998 59 17.718 0 2.0138 60 18.527 0 1.9564 61 19.213 0 1.7232 62 19.72 0 2.043 63 19.97 0 2.5209 64 20.509 0 2.0693 65 21.354 0 1.5169 66 22.101 0 1.4615 67 22.842 0 1.1965 68 23.484 0 0.39828 69 23.443 0 1.5641 70 24.418 0 1.6492 71 25.127 0 0.83748 72 25.284 0 1.4773 73 25.63 0 1.6183 74 25.928 0 1.9117 75 26.243 0 3.0089 76 26.759 0 1.7107 77 26.87 0 1.7625 78 26.933 0 2.4742 79 26.991 0 2.4198 80 27.379 0 1.5403 81 27.71 0 1.4305 82 27.745 0 1.9243 83 27.258 0 1.418 84 28.017 0 1.7239 85 28.02 0 1.3642 86 27.542 0 1.4708 87 26.983 0 2.8319 88 27.352 0 3.0096 89 27.842 0 3.0098 90 28.776 0 1.6215 91 29.061 0 0.42617 92 29.081 0 1.7721 93 30.099 0 3.3516 94 30.887 0 3.6794 95 31.915 0 3.2819 96 31.841 0 3.6986 97 31.215 0 3.5389 98 30.59 0 4.1702 99 30.417 0 4.5314 100 30.683 0 4.0502 101 30.708 0 3.1475 102 30.686 0 2.8395 103 30.74 0 2.1768 104 30.692 0 1.715 105 31.145 0 2.4782 106 31.541 0 2.9702 107 31.836 0 2.7187 108 31.586 0 2.2956 109 31.806 0 2.8781 110 31.936 0 2.0592 111 31.303 0 2.2341 112 31.827 0 1.6397 113 32.269 0 2.4395 114 33.552 0 1.7507 115 34.645 0 1.4171 116 34.856 0 1.7104 117 34.835 0 1.565 118 35.003 0 2.058 119 34.929 0 1.8656 120 34.543 0 2.3838 121 34.119 0 1.9493 122 33.604 0 1.5642 123 33.402 0 2.3183 124 33.385 0 1.2613 125 33.41 0 0.45173 126 32.872 0 1.1842 127 32.214 0 1.5019 128 31.25 0 1.4622 129 30.203 0 1.3948 130 29.137 0 1.373 131 28.098 0 1.758 132 27.78 0 1.7349 133 27.153 0 2.234 134 26.563 0 2.5953 135 26.384 0 1.9139 136 25.947 0 2.5069 137 25.112 0 3.0928 138 25.067 0 2.6165 139 24.94 0 2.4126 140 24.557 0 2.5867 141 24.143 0 2.5534 142 23.761 0 1.3567 143 23.464 0 2.436 144 23.423 0 2.9158 145 22.671 0 3.2825 146 21.725 0 3.3351 147 21.885 0 2.8303 148 21.209 0 3.1898 149 21.258 0 2.626 150 21.427 0 2.5978 151 21.595 0 3.0007 152 21.557 0 3.9057 153 21.271 0 2.8449 154 20.609 0 1.7172 155 20.62 0 1.1578 156 20.363 0 3.961 157 20.869 0 4.1358 158 20.606 0 2.509 159 19.634 0 1.9755 160 19.287 0 3.111 161 19.027 0 2.8443 162 18.435 0 3.7382 163 18.242 0 4.2805 164 18.514 0 4.2343 165 18.457 0 3.1537 166 18.511 0 2.545 167 19.457 0 0.26107 168 19.838 0 1.752 169 19.991 0 2.3586 170 19.872 0 2.8252 171 19.835 0 1.8376 172 19.862 0 1.2889 173 19.444 0 1.4655 174 19.611 0 1.846 175 18.795 0 2.017 176 18.625 0 1.5307 177 18.607 0 1.0159 178 18.903 0 1.9358 179 19.762 0 0.60154 180 20.487 0 0.92426 181 21.291 0 0.75836 182 22.082 0 0.781 183 22.758 0 1.4966 184 22.671 0 1.5073 185 22.659 0 0.89766 186 22.575 0 0.46513 187 22.547 0 0.18506 188 22.453 0 0.53941 189 22.211 0 1.6132 190 22.289 0 0.54944 191 21.443 0 0.68103 192 20.529 0 0.79478 193 19.651 0 0.86983 194 19.227 0 1.3152 195 19.415 0 1.5291 196 20.065 0 0.30012 197 19.846 0 0.79231 198 19.907 0 1.2726 199 19.768 0 2.833 200 19.878 0 2.9001 201 20.719 0 1.7722 202 20.216 0 1.2219 203 19.536 0 1.6049 204 19.335 0 1.9795 205 19.272 0 1.7944 206 19.126 0 1.0073 207 18.54 0 0.38911 208 17.474 0 0.55917 209 16.822 0 1.5671 210 16.172 0 2.1905 211 15.548 0 1.8557 212 15.946 0 0.7728 213 16.178 0 1.5979 214 16.141 0 1.6263 215 16.115 0 1.6688 216 16.066 0 1.7602 217 15.824 0 1.478 218 15.091 0 1.8782 219 14.614 0 1.5478 220 14.546 0 0.6993 221 14.025 0 0.63142 222 14.159 0 0.52266 223 15.094 0 0.48658 224 15.979 0 1.6377 225 16.525 0 1.6349 226 17.096 0 0.51451 227 17.982 0 0.7138 228 18.981 0 0.83854 229 19.95 0 1.0882 230 20.903 0 0.82393 231 21.025 0 0.92331 232 21.202 0 0.61449 233 21.354 0 0.63086 234 20.706 0 0.87935 235 20.049 0 0.83407 236 19.307 0 0.64636 237 18.444 0 0.66545 238 17.554 0 1.6824 239 16.653 0 1.0131 240 15.632 0 0.89658 241 15.55 0 1.6914 242 15.895 0 1.9657 243 16.066 0 1.7932 244 16.313 0 1.6725 245 17.337 0 2.5578 246 17.277 0 1.5571 247 16.661 0 1.0997 248 15.742 0 1.1852 249 14.808 0 1.6385 250 14.215 0 2.1071 251 13.715 0 3.5038 252 14.368 0 3.0839 253 14.829 0 3.1137 254 15.329 0 2.4357 255 15.82 0 2.4103 256 16.043 0 3.325 257 16.7 0 2.8365 258 17.156 0 1.0192 259 16.666 0 2.0428 260 17.199 0 2.0376 261 17.003 0 2.6755 262 17.077 0 1.3069 263 17.048 0 0.40092 264 17.062 0 1.4435 265 17.795 0 1.4206 266 18.462 0 1.7035 267 18.863 0 2.2389 268 19.247 0 1.6288 269 19.488 0 2.3154 270 19.84 0 2.2549 271 19.593 0 2.2696 272 19.291 0 2.6258 273 19.688 0 2.9289 274 20.184 0 2.9398 275 20.717 0 1.9408 276 20.907 0 2.6465 277 21.406 0 2.2981 278 21.877 0 1.2324 279 22.239 0 2.2854 280 22.639 0 1.8384 281 22.751 0 1.0526 282 22.728 0 1.8582 283 22.577 0 2.3339 284 22.236 0 2.4975 285 21.967 0 2.1034 286 21.788 0 1.4313 287 21.724 0 0.73385 288 21.494 0 1.2682 289 21.301 0 1.057 290 20.843 0 1.6365 291 20.054 0 3.1999 292 19.628 0 3.448 293 18.978 0 3.6768 294 18.339 0 3.6545 295 18.4 0 3.1557 296 18.548 0 2.3357 297 18.444 0 2.4662 298 18.565 0 1.8002 299 17.929 0 2.2375 300 17.737 0 2.04 301 17.377 0 2.7407 302 17.326 0 3.2373 303 17.64 0 3.0933 304 17.928 0 3.1016 305 18.073 0 2.462 306 18.054 0 1.676 307 17.504 0 3.2219 308 17.41 0 2.5897 309 16.944 0 1.7556 310 17.374 0 1.0292 311 16.855 0 2.2994 312 16.072 0 3.391 313 15.727 0 3.0079 314 15.767 0 2.0636 315 15.71 0 1.4304 316 16.142 0 1.63 317 16.64 0 1.5063 318 17.111 0 1.4141 319 17.125 0 2.5369 320 16.904 0 2.342 321 16.976 0 0.54938 322 17.062 0 0 323 17.047 0 1.0937 324 16.869 0 2.6387 325 17.631 0 2.3131 326 18.224 0 1.9712 327 18.941 0 0.17334 328 18.827 0 0.60333 329 18.302 0 2.1489 330 17.784 0 2.7986 331 17.724 0 2.0277 332 17.106 0 2.4231 333 16.806 0 2.5067 334 16.388 0 2.8265 335 15.971 0 2.7213 336 15.546 0 1.9217 337 14.967 0 1.8339 338 15.313 0 0.80088 339 14.96 0 1.7332 340 14.623 0 0.97707 341 13.82 0 1.6739 342 13.466 0 2.1767 343 14.169 0 1.7253 344 15.113 0 1.4932 345 15.663 0 1.5047 346 16.148 0 1.7618 347 16.361 0 1.9677 348 15.739 0 1.7484 349 15.248 0 2.0514 350 15.226 0 1.5974 351 15.155 0 2.1037 352 15.622 0 1.9755 353 15.929 0 1.6398 354 15.723 0 1.8339 355 15.68 0 1.9828 356 15.5 0 2.5697 357 15.29 0 2.4355 358 15.241 0 1.6721 359 14.693 0 1.9937 360 13.731 0 2.2395 361 13.372 0 1.9365 362 13.539 0 2.2831 363 14.216 0 1.4856 364 13.685 0 1.9401 365 13.69 0 1.7157 366 13.349 0 1.4885 367 12.929 0 1.3415 368 12.51 0 1.5624 369 11.908 0 1.6632 370 11.48 0 1.4629 371 11.6 0 0.37388 372 11.672 0 0 373 11.34 0 1.2312 374 11.664 0 1.594 375 12.197 0 1.2588 376 12.762 0 1.0232 377 13.565 0 1.0514 378 14.228 0 0.37784 379 13.804 0 1.7965 380 13.25 0 2.0164 381 12.642 0 2.8992 382 13.316 0 1.6258 383 13.705 0 1.424 384 14.184 0 1.3756 385 14.586 0 1.5583 386 14.899 0 1.6503 387 15.135 0 2.1571 388 15.281 0 2.6723 389 15.122 0 2.5552 390 14.976 0 2.2717 391 15.396 0 2.2824 392 15.953 0 1.2021 393 16.212 0 1.3364 394 16.495 0 0.76377 395 16.607 0 0.91238 396 16.725 0 1.3059 397 16.894 0 1.7326 398 17.143 0 0.91337 399 17.272 0 0.58416 400 17.357 0 0.40555 401 17.415 0 1.077 402 17.547 0 1.6036 403 16.989 0 2.1515 404 16.443 0 2.403 405 15.982 0 2.3065 406 15.496 0 2.8232 407 16.097 0 1.7716 408 15.842 0 2.136 409 15.096 0 1.9266 410 14.234 0 1.8931 411 14.333 0 1.1603 412 14.423 0 1.4179 413 13.887 0 1.3168 414 13.229 0 1.4725 415 12.416 0 2.4478 416 11.797 0 1.6487 417 10.972 0 2.2098 418 10.88 0 2.6108 419 11.074 0 2.2053 420 10.796 0 2.8739 421 10.204 0 3.4972 422 9.5212 0 3.6275 423 9.4272 0 3.4892 424 9.3849 0 2.8628 425 8.7244 0 2.499 426 8.6192 0 3.0557 427 8.5405 0 2.1757 428 8.5157 0 1.6531 429 8.8344 0 2.1542 430 9.5155 0 2.1551 431 10.114 0 2.0078 432 10.888 0 2.4007 433 11.613 0 3.1104 434 12.418 0 3.1605 435 13.269 0 1.5286 436 14.071 0 1.6647 437 15.067 0 0.73167 438 15.79 0 1.5328 439 16.631 0 1.5349 440 17.548 0 2.2762 441 17.841 0 2.2614 442 18.575 0 2.2579 443 19.365 0 2.0154 444 19.994 0 1.7876 445 20.559 0 1.9133 446 21.22 0 2.039 447 22.248 0 1.6328 448 22.543 0 2.3727 449 22.958 0 2.9721 450 23.151 0 3.0295 451 22.99 0 2.005 452 23.062 0 0.57574 453 22.949 0 1.668 454 22.986 0 1.8962 455 22.845 0 2.3553 456 22.238 0 2.1933 457 21.691 0 1.7791 458 21.519 0 0.97001 459 21.492 0 0.63077 460 20.811 0 1.9462 461 20.173 0 1.7125 462 19.593 0 1.7276 463 19.537 0 0.66217 464 19.055 0 1.0913 465 18.475 0 1.1752 466 17.604 0 1.6019 467 16.705 0 0.53394 468 15.766 0 0.27058 469 14.746 0 0.25419 470 13.602 0 0.61688 471 12.419 0 0.78922 472 11.599 0 1.7282 473 11.284 0 2.0049 474 10.595 0 2.0775 475 10.183 0 1.8089 476 9.6434 0 2.1246 477 9.2986 0 2.1122 478 8.7709 0 2.4708 479 8.1164 0 2.9257 480 7.7971 0 2.4774 481 7.5349 0 2.4927 482 7.2858 0 2.7718 483 8.2109 0 1.5206 484 8.4289 0 1.9604 485 8.8554 0 1.6957 486 9.0366 0 1.7565 487 9.5096 0 1.9604 488 10.226 0 1.2591 489 10.544 0 1.4789 490 11.11 0 1.4786 491 11.495 0 1.1493 492 11.046 0 1.0977 493 11.152 0 1.1653 494 11.177 0 1.3108 495 11.612 0 1.2828 496 11.427 0 1.1875 497 10.916 0 1.0965 498 10.399 0 1.0898 499 9.6583 0 1.542 500 9.1802 0 0.99861 501 8.3535 0 1.7312 502 7.4578 0 1.6574 503 7.127 0 1.3805 504 6.3873 0 1.3407 505 5.5097 0 1.5276 506 4.562 0 1.3914 507 3.6394 0 0.95862 508 3.0759 0 1.2425 509 2.3112 0 1.2904 510 1.4153 0 0.90239 511 0.67756 0 1.2263 512 0.60728 0 0.36696 513 0.43918 0 0.65334 514 0.14007 0 1.0375 515 0.087853 0 0.29572 516 -3.9746e-14 0 0.42926