1 0 0 0 2 0 0 0 3 0 0 0.080926 4 0.01002 0 0 5 0.01002 0 0.82551 6 0.2692 0 0.37164 7 1.9612 0 0.71721 8 3.3612 0 1.4944 9 4.7709 0 1.8768 10 6.0864 0 1.9371 11 7.1627 0 1.9207 12 7.7898 0 1.0381 13 8.0526 0 1.3099 14 8.4165 0 0.94474 15 8.6308 0 0.46735 16 8.7115 0 0.32424 17 8.7707 0 0.30308 18 8.8151 0 0.83251 19 9.0168 0 1.5635 20 10.004 0 1.6599 21 10.984 0 1.7976 22 11.982 0 1.9163 23 12.873 0 1.4897 24 13.414 0 0.98985 25 13.646 0 0.27311 26 13.685 0 0.11284 27 13.7 0 0.30742 28 13.755 0 0.87654 29 13.913 0 1.557 30 14.374 0 1.7005 31 14.997 0 2.3173 32 15.793 0 1.6487 33 16.265 0 0.95804 34 16.536 0 0 35 16.536 0 0 36 16.321 0 0.75097 37 16.104 0 0.75529 38 15.919 0 0.94612 39 15.956 0 0.30627 40 15.985 0 0.25879 41 15.991 0 0.10335 42 15.991 0 0 43 15.991 0 0 44 15.991 0 0 45 15.978 0 0.10278 46 15.773 0 0.80116 47 15.569 0 0.72832 48 15.336 0 0.89614 49 15.107 0 0.88394 50 14.9 0 0.85637 51 14.841 0 0.32424 52 14.778 0 0.33709 53 14.714 0 0.75101 54 14.68 0 0.79905 55 14.526 0 1.4204 56 14.411 0 1.2667 57 14.471 0 0.25113 58 14.513 0 0 59 14.513 0 1.3274 60 14.842 0 1.1552 61 15.07 0 0.76961 62 14.675 0 3.226 63 14.973 0 2.8288 64 14.69 0 1.8696 65 13.975 0 1.7545 66 14.041 0 1.6041 67 13.277 0 1.6895 68 12.269 0 1.4731 69 11.511 0 2.5687 70 12.057 0 3.2644 71 13.718 0 2.6361 72 15 0 2.396 73 15.401 0 2.7792 74 15.263 0 1.8823 75 14.182 0 1.2617 76 13.998 0 2.2277 77 14.47 0 1.9939 78 14.748 0 2.4363 79 15.1 0 0.74201 80 14.542 0 2.1808 81 15.009 0 1.9421 82 15.418 0 1.105 83 15.436 0 1.1845 84 15.929 0 0.97316 85 16.316 0 1.667 86 16.888 0 1.6228 87 17.377 0 1.4869 88 17.324 0 3.1081 89 17.643 0 2.994 90 18.226 0 1.8199 91 18.23 0 1.3437 92 18.961 0 0.95162 93 19.593 0 0.58938 94 20.108 0 1.0482 95 20.655 0 1.9521 96 21.627 0 1.2926 97 21.62 0 1.3844 98 22.612 0 0.78409 99 23.557 0 0.78708 100 24.447 0 0.70917 101 25.353 0 1.9906 102 25.758 0 1.2117 103 25.858 0 1.1618 104 25.961 0 0.44579 105 25.584 0 1.3863 106 24.702 0 1.2133 107 24.052 0 1.3125 108 23.403 0 1.1721 109 22.781 0 0.9125 110 23.062 0 0.089017 111 22.146 0 0.4642 112 21.31 0 0.81233 113 20.595 0 0.85581 114 19.878 0 0.75429 115 19.003 0 0.81145 116 19.09 0 0.35278 117 19.113 0 0 118 19.097 0 0.11612 119 19.03 0 0.64944 120 18.334 0 2.303 121 17.551 0 2.0638 122 16.831 0 1.7293 123 16.185 0 2.1721 124 16.052 0 1.5674 125 15.442 0 2.164 126 14.5 0 3.3097 127 13.752 0 3.5814 128 13.392 0 2.8145 129 13.893 0 1.9428 130 14.367 0 1.9893 131 14.638 0 2.4826 132 14.73 0 2.8915 133 13.918 0 4.7778 134 12.856 0 4.7768 135 12.82 0 3.6088 136 12.598 0 3.9349 137 13.256 0 1.6391 138 12.772 0 3.5206 139 12.842 0 2.1711 140 13.001 0 0.83692 141 13.072 0 0.98831 142 12.722 0 2.0859 143 12.702 0 2.878 144 12.347 0 3.0661 145 13.22 0 1.2811 146 13.252 0 3.1168 147 13.798 0 2.3075 148 13.419 0 3.6684 149 13.133 0 3.4547 150 13.177 0 2.2748 151 13.18 0 1.6842 152 13.204 0 1.0703 153 13.243 0 0.70984 154 13.107 0 2.6031 155 12.904 0 3.6525 156 13.717 0 3.4094 157 13.934 0 3.1717 158 14.723 0 2.5152 159 15.548 0 2.1879 160 16.303 0 1.6372 161 16.953 0 1.8528 162 17.382 0 2.2117 163 18.068 0 1.8453 164 18.663 0 1.3568 165 19.025 0 1.4988 166 19.395 0 1.9918 167 19.826 0 1.4259 168 20.806 0 1.8105 169 22.138 0 1.5651 170 23.253 0 1.5793 171 23.41 0 1.3379 172 24.357 0 1.4224 173 25.275 0 1.079 174 25.739 0 1.6487 175 26.049 0 1.801 176 26.271 0 2.2506 177 25.567 0 2.8823 178 25.266 0 2.9424 179 25.379 0 2.734 180 25.472 0 3.1694 181 26.153 0 3.16 182 26.698 0 2.9267 183 26.906 0 2.8418 184 26.472 0 2.6955 185 27.042 0 3.9024 186 28.182 0 2.9734 187 29.112 0 3.0834 188 29.475 0 3.0053 189 29.432 0 2.3741 190 30.147 0 1.5434 191 30.46 0 1.8173 192 30.491 0 2.0378 193 30.748 0 1.802 194 30.494 0 2.3411 195 30.223 0 2.2793 196 30.381 0 0.80025 197 30.237 0 1.7008 198 29.625 0 3.5655 199 29.328 0 3.4043 200 28.546 0 3.6704 201 27.765 0 3.287 202 26.712 0 3.8641 203 25.803 0 2.9727 204 24.622 0 2.0899 205 23.388 0 2.4903 206 23.101 0 2.6441 207 22.816 0 2.5858 208 22.984 0 2.2995 209 23.3 0 1.1188 210 22.367 0 1.3216 211 21.578 0 1.3494 212 20.601 0 0.83668 213 19.368 0 2.6401 214 18.939 0 2.4568 215 18.504 0 2.2558 216 17.792 0 1.7105 217 17.352 0 1.1538 218 17.276 0 1.8477 219 17.428 0 2.2215 220 17.561 0 2.5739 221 17.452 0 2.5617 222 17.037 0 3.2126 223 16.652 0 3.2756 224 15.756 0 2.1541 225 16.669 0 1.9582 226 17.56 0 1.5825 227 18.242 0 0.33429 228 18.055 0 1.7367 229 17.789 0 2.7012 230 18.524 0 2.0771 231 19.473 0 1.6289 232 20.374 0 1.5961 233 21.163 0 1.1466 234 21.486 0 1.4368 235 22.415 0 2.3503 236 23.373 0 2.2754 237 24.206 0 2.9343 238 25.643 0 2.9357 239 27.151 0 1.6647 240 27.429 0 3.3486 241 28.392 0 3.488 242 29.105 0 2.6448 243 29.404 0 3.4164 244 29.846 0 3.1933 245 30.523 0 3.7958 246 31.705 0 2.4555 247 31.973 0 2.4943 248 31.682 0 2.7134 249 31.264 0 2.3679 250 31.222 0 3.2168 251 30.761 0 2.8156 252 29.691 0 2.3609 253 28.758 0 1.9017 254 27.784 0 2.6869 255 27.543 0 2.0831 256 27.261 0 1.3082 257 26.638 0 2.2653 258 25.744 0 2.2551 259 24.788 0 1.9503 260 23.836 0 1.8575 261 23.06 0 2.0196 262 22.662 0 1.4435 263 22.036 0 1.9931 264 21.639 0 1.7613 265 21.236 0 1.6499 266 20.902 0 1.3375 267 20.855 0 0.67711 268 20.838 0 1.2096 269 20.4 0 1.7482 270 19.943 0 1.5877 271 19.298 0 1.5723 272 18.548 0 2.1106 273 17.725 0 1.8928 274 16.83 0 1.0559 275 15.661 0 1.2536 276 16.048 0 1.4341 277 16.597 0 0.4316 278 16.66 0 0.089566 279 16.646 0 0.40539 280 16.256 0 1.4261 281 15.805 0 1.3965 282 15.757 0 1.673 283 15.88 0 1.6498 284 16.104 0 1.614 285 16.847 0 1.9249 286 17.683 0 1.7162 287 17.54 0 1.157 288 16.949 0 2.6099 289 16.659 0 2.5356 290 17.337 0 2.1495 291 17.621 0 3.0324 292 18.525 0 2.22 293 19.164 0 2.7486 294 19.671 0 2.7099 295 20.21 0 2.6993 296 20.295 0 2.9857 297 20.581 0 1.9978 298 20.575 0 1.6626 299 20.455 0 1.5566 300 19.993 0 1.4594 301 19.873 0 1.7622 302 20.214 0 2.1182 303 20.208 0 1.8015 304 20.558 0 1.7472 305 20.828 0 0.59961 306 20.923 0 0.64605 307 21.035 0 0.88847 308 20.997 0 1.5502 309 20.749 0 2.0466 310 20.584 0 1.7314 311 19.309 0 2.6995 312 18.422 0 2.1625 313 17.527 0 2.2182 314 17.51 0 1.5864 315 16.946 0 2.1798 316 16.663 0 1.9472 317 16.978 0 1.4393 318 17.492 0 1.5396 319 17.81 0 1.4936 320 18.066 0 1.3053 321 18.587 0 0.79318 322 18.337 0 2.2504 323 18.121 0 3.121 324 18.017 0 2.8534 325 18.151 0 2.4547 326 18.53 0 1.9459 327 18.806 0 0.21891 328 18.424 0 2.2357 329 17.855 0 2.9354 330 17.375 0 3.1245 331 17.231 0 2.8818 332 17.321 0 2.8655 333 17.193 0 2.3319 334 16.173 0 1.6962 335 14.965 0 1.345 336 13.668 0 1.8717 337 12.886 0 1.8822 338 12.272 0 1.1251 339 11.449 0 2.4047 340 11.194 0 1.7491 341 11.126 0 0.96691 342 10.002 0 1.4832 343 8.9188 0 1.7836 344 9.9219 0 1.0547 345 10.283 0 1.4436 346 10.527 0 1.2706 347 10.608 0 0.91177 348 10.453 0 0.99938 349 10.911 0 0.90118 350 11.228 0 1.0242 351 11.571 0 0.094973 352 11.571 0 0 353 11.121 0 1.78 354 10.635 0 1.1348 355 10.924 0 0.74082 356 11.195 0 0.78621 357 10.991 0 1.6145 358 10.774 0 1.9064 359 11.297 0 1.506 360 12.897 0 1.415 361 12.926 0 2.9012 362 13.113 0 2.8648 363 13.57 0 2.2256 364 13.38 0 1.9104 365 12.737 0 2.164 366 13.184 0 1.6558 367 13.192 0 1.7065 368 13.023 0 2.0912 369 12.769 0 2.4518 370 12.533 0 2.4672 371 12.636 0 1.2033 372 12.507 0 1.3609 373 12.301 0 1.5131 374 12.438 0 0.43267 375 12.527 0 1.1589 376 12.833 0 1.6053 377 13.216 0 2.3199 378 14.051 0 2.1819 379 14.807 0 1.5266 380 15.26 0 2.0995 381 15.994 0 1.7853 382 16.445 0 2.1725 383 16.904 0 2.2562 384 17.323 0 0.54919 385 17.373 0 0.52684 386 17.09 0 2.1185 387 16.602 0 2.642 388 15.952 0 2.8037 389 15.247 0 2.8389 390 15.154 0 0.70025 391 14.682 0 1.6871 392 14.208 0 2.1429 393 13.91 0 1.787 394 13.557 0 1.8087 395 13.657 0 2.364 396 14.171 0 2.5264 397 14.648 0 2.1387 398 15.028 0 1.5846 399 15.831 0 1.0392 400 16.752 0 0.77293 401 17.675 0 0.75385 402 18.655 0 0.90181 403 19.586 0 0.8904 404 20.432 0 0.81135 405 20.931 0 0.70821 406 21.445 0 1.0421 407 21.854 0 1.2989 408 22.179 0 1.7311 409 22.621 0 1.7214 410 23.167 0 1.488 411 23.417 0 1.0852 412 22.842 0 1.3964 413 22.561 0 0.99319 414 22.079 0 1.2526 415 21.403 0 0.97153 416 20.525 0 1.2637 417 19.657 0 2.6129 418 19.278 0 2.0643 419 18.879 0 2.0302 420 18.445 0 2.0234 421 17.76 0 2.2849 422 16.925 0 2.3075 423 16.794 0 1.3759 424 15.497 0 1.3756 425 14.021 0 1.266 426 12.404 0 1.1735 427 10.34 0 0.85402 428 9.2293 0 0.89484 429 8.1178 0 1.2492 430 7.1511 0 2.0833 431 7.0868 0 1.9629 432 7.8447 0 1.5746 433 8.4643 0 1.4685 434 8.9315 0 0.42137 435 8.9077 0 0.27099 436 8.9221 0 0 437 8.8462 0 0.50221 438 8.73 0 0.69228 439 8.7199 0 0.081989 440 8.1105 0 1.647 441 7.46 0 1.5913 442 6.8698 0 1.0898 443 6.4725 0 1.1055 444 6.3382 0 0.86147 445 6.1343 0 1.1292 446 5.9201 0 1.3838 447 5.7328 0 1.1561 448 5.4239 0 1.9508 449 5.194 0 2.0045 450 5.2666 0 1.4659 451 5.194 0 1.9348 452 5.0567 0 2.0012 453 4.9434 0 1.7363 454 5.0059 0 1.0732 455 4.9467 0 1.0884 456 4.8014 0 1.0195 457 4.8099 0 0.71897 458 4.8912 0 0.91632 459 4.9685 0 1.0574 460 5.0242 0 1.2914 461 5.0878 0 1.3147 462 5.1505 0 0.95059 463 5.023 0 1.0237 464 4.7732 0 1.5031 465 4.585 0 1.5066 466 4.3787 0 1.8975 467 4.4756 0 1.9191 468 4.6761 0 1.4841 469 4.8667 0 1.3314 470 4.6219 0 2.7492 471 4.3157 0 3.0105 472 4.2488 0 1.9354 473 4.4491 0 0.48235 474 4.5375 0 0.55099 475 4.6127 0 1.1947 476 4.8247 0 1.0227 477 5.0315 0 1.3078 478 5.2594 0 1.1147 479 5.4302 0 1.0968 480 5.5657 0 1.226 481 5.7038 0 1.8358 482 5.995 0 1.4992 483 6.2764 0 1.0888 484 6.4815 0 2.274 485 6.8613 0 2.6222 486 7.2304 0 2.6636 487 7.5529 0 2.4236 488 7.8278 0 2.2048 489 8.2485 0 1.1782 490 8.6482 0 1.5222 491 9.1355 0 1.6368 492 9.648 0 1.5026 493 10.132 0 1.5244 494 10.559 0 0.65449 495 10.337 0 1.5597 496 10.078 0 1.8023 497 9.8468 0 1.3547 498 9.2615 0 1.9307 499 8.8918 0 1.7245 500 8.5778 0 2.1403 501 8.1446 0 2.4016 502 7.6759 0 2.6117 503 7.217 0 2.5147 504 6.6596 0 2.3204 505 6.039 0 2.5417 506 5.5794 0 1.9155 507 5.3125 0 2.2282 508 5.244 0 3.2538 509 5.5181 0 2.1677 510 5.4797 0 1.983 511 5.4022 0 1.3521 512 5.1184 0 1.698 513 6.2246 0 1.4788 514 7.447 0 1.4385 515 8.5912 0 1.3211 516 9.6601 0 1.3689 517 10.709 0 1.4109 518 10.915 0 1.1706 519 11.686 0 1.2299 520 12.581 0 1.393 521 12.73 0 1.4958 522 12.827 0 1.6966 523 13.575 0 1.3781 524 14.197 0 1.1354 525 14.811 0 0.98629 526 15.322 0 0.45073 527 15.093 0 1.5896 528 14.84 0 1.8651 529 14.517 0 2.07 530 14.041 0 2.4354 531 13.46 0 2.3925 532 12.828 0 2.2095 533 12.364 0 1.7581 534 11.712 0 2.1542 535 11.447 0 1.2713 536 11.078 0 1.8033 537 10.299 0 1.7178 538 9.4731 0 1.5543 539 8.6338 0 1.5882 540 7.8413 0 1.4057 541 7.7551 0 0.48775 542 7.7384 0 1.1002 543 7.353 0 1.3673 544 6.7092 0 1.2218 545 6.7275 0 0.79213 546 5.8223 0 0.94481 547 5.0154 0 0.5471 548 4.1666 0 0.37244 549 3.2852 0 0.32182 550 2.4195 0 0.34664 551 2.4195 0 0 552 2.3934 0 0.17435 553 2.3934 0 0 554 2.167 0 0.85433 555 1.9763 0 0.79978 556 1.8739 0 0.599 557 1.5868 0 1.2775 558 1.2652 0 1.2569 559 0.89792 0 1.2737 560 0.89792 0 0 561 0.72106 0 0.7439 562 0.45998 0 0.92665 563 -1.4599e-14 0 1.0846