1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0.22664 6 0.036634 0 0.16597 7 0.061126 0 0 8 0.061126 0 0 9 0.061126 0 0.53357 10 0.16339 0 0.26302 11 0.20799 0 0.18747 12 0.23662 0 0.15618 13 1.214 0 0.205 14 2.1818 0 0.43032 15 3.0936 0 0.61193 16 3.9428 0 0.71408 17 4.7467 0 0.84147 18 5.4767 0 0.18421 19 5.5047 0 1.1035 20 6.1375 0 1.1402 21 6.8311 0 1.1125 22 7.2776 0 1.6443 23 7.8952 0 1.0424 24 8.5473 0 0.72893 25 9.39 0 0.63961 26 10.228 0 0.9769 27 11.178 0 0.94831 28 12.19 0 1.2897 29 13.169 0 1.3474 30 14.15 0 1.7014 31 15.073 0 1.6874 32 16.013 0 1.5329 33 16.792 0 0.09191 34 16.804 0 0 35 16.804 0 1.7753 36 17.746 0 1.8334 37 18.661 0 0.75632 38 18.879 0 1.9884 39 19.579 0 0.71706 40 19.776 0 0.68417 41 20.197 0 1.6892 42 20.789 0 2.1289 43 22.414 0 1.4997 44 23.373 0 1.6441 45 23.704 0 1.6081 46 23.378 0 2.0244 47 22.985 0 1.9496 48 23.005 0 2.08 49 23.8 0 2.2813 50 23.457 0 1.8989 51 23.652 0 1.8144 52 23.628 0 2.1919 53 24.581 0 1.1829 54 24.444 0 1.372 55 24.648 0 0.86181 56 24.203 0 0.96407 57 23.717 0 0.65996 58 22.728 0 2.3124 59 22.359 0 2.6145 60 22.309 0 2.2709 61 22.412 0 2.7388 62 23.503 0 1.8692 63 23.517 0 2.0504 64 23.514 0 0.92042 65 23.089 0 1.5474 66 23.444 0 1.4652 67 23.703 0 0.64613 68 23.438 0 1.173 69 24.577 0 1.2167 70 25.061 0 1.2817 71 26.155 0 1.1317 72 26.735 0 1.9254 73 27.418 0 0.56997 74 27.442 0 1.9926 75 27.977 0 2.0555 76 28.362 0 2.1933 77 28.559 0 2.2673 78 28.387 0 2.1678 79 28.573 0 1.4627 80 28.569 0 1.7411 81 29.124 0 1.3938 82 28.912 0 1.8415 83 28.617 0 1.5033 84 28.702 0 0.1298 85 28.28 0 1.3409 86 27.85 0 1.4238 87 27.368 0 1.8946 88 26.939 0 1.9608 89 26.143 0 1.7912 90 25.392 0 1.774 91 24.899 0 2.1328 92 24.983 0 2.0111 93 25.312 0 2.5367 94 25.564 0 2.4279 95 25.26 0 2.0742 96 24.653 0 2.1437 97 24.25 0 2.0209 98 23.849 0 2.0244 99 22.709 0 2.4558 100 22.412 0 2.5481 101 21.91 0 2.5561 102 21.154 0 2.4711 103 20.15 0 3.1759 104 20.24 0 2.1566 105 20.056 0 4.4408 106 20.091 0 5.6311 107 20.483 0 3.5789 108 20.027 0 3.5695 109 19.484 0 4.0858 110 18.57 0 4.5163 111 17.191 0 2.1618 112 16.507 0 0.73143 113 16.236 0 0.93666 114 16.524 0 0.61496 115 17.245 0 0.86278 116 17.866 0 0.89721 117 18.367 0 0.92364 118 19.307 0 0.70242 119 20.104 0 0.27635 120 20.026 0 0.39492 121 19.966 0 0.37882 122 19.903 0 0.33964 123 19.836 0 0.35277 124 19.744 0 0.54021 125 19.648 0 0.56503 126 19.628 0 0.14172 127 18.767 0 0.85759 128 18.095 0 0.84582 129 17.466 0 0.62732 130 16.795 0 1.4161 131 16.397 0 1.4125 132 15.992 0 0.80432 133 16.139 0 1.504 134 16.2 0 1.1167 135 16.078 0 0.97352 136 15.759 0 0.9938 137 16.251 0 1.4298 138 16.909 0 1.1352 139 17.592 0 1.0474 140 18.401 0 0.50847 141 19.194 0 1.1795 142 20.485 0 0.88824 143 21.159 0 1.1169 144 21.587 0 1.0787 145 21.908 0 0.78071 146 21.363 0 0.98639 147 20.387 0 1.0427 148 19.208 0 1.8348 149 18.367 0 2.0367 150 17.791 0 0.87415 151 17.125 0 0.87603 152 17.342 0 1.3088 153 17.6 0 2.0293 154 17.748 0 2.3259 155 17.562 0 3.2528 156 18.191 0 3.2433 157 18.906 0 2.3605 158 18.723 0 1.8125 159 18.91 0 2.9664 160 19.213 0 2.5083 161 19.489 0 2.1495 162 19.141 0 2.9126 163 18.823 0 3.8075 164 18.686 0 3.1636 165 18.556 0 2.5142 166 18.115 0 2.957 167 17.269 0 3.3278 168 17.364 0 2.8179 169 17.439 0 2.6025 170 17.955 0 1.8041 171 18.079 0 2.6888 172 18.626 0 1.8496 173 19.274 0 0.38536 174 18.965 0 2.1235 175 19.467 0 2.4194 176 20.344 0 1.4165 177 20.903 0 1.8313 178 20.92 0 2.1669 179 21.467 0 1.6005 180 21.786 0 1.8965 181 22.104 0 1.9552 182 22.251 0 2.0424 183 22.715 0 1.3613 184 23.338 0 1.2725 185 24.006 0 0.9692 186 24.593 0 1.0382 187 25.21 0 1.528 188 25.617 0 1.3725 189 25.852 0 1.4521 190 26.038 0 0.79365 191 25.474 0 1.5782 192 24.93 0 1.2095 193 24.272 0 1.7617 194 23.17 0 3.2329 195 22.211 0 2.9243 196 21.655 0 1.5509 197 21.007 0 2.4952 198 20.15 0 1.8352 199 19.795 0 1.8085 200 19.632 0 1.5978 201 20.165 0 1.1261 202 20.04 0 1.6159 203 19.83 0 1.8716 204 20.032 0 1.3888 205 19.426 0 1.9091 206 19.537 0 1.842 207 19.468 0 1.5645 208 19.046 0 1.4382 209 17.795 0 0.90673 210 16.335 0 1.7209 211 15.222 0 1.4282 212 14.892 0 1.5351 213 15.631 0 0.77524 214 16.3 0 1.0813 215 17.031 0 1.0211 216 17.954 0 0.36826 217 18.37 0 1.7017 218 18.514 0 2.0363 219 19.015 0 1.2892 220 19.181 0 1.5333 221 18.868 0 1.9737 222 18.59 0 2.2271 223 18.973 0 1.6045 224 19.842 0 1.1214 225 19.473 0 1.506 226 19.623 0 1.2984 227 19.909 0 1.0194 228 20.109 0 1.0493 229 19.599 0 1.3251 230 19.852 0 1.5234 231 20.667 0 1.7125 232 21.352 0 1.17 233 20.939 0 0.85615 234 20.182 0 1.4483 235 19.697 0 1.834 236 19.318 0 1.6634 237 18.632 0 1.405 238 17.84 0 1.6337 239 17.686 0 1.719 240 17.464 0 1.4551 241 17.168 0 1.7748 242 17.524 0 2.7276 243 17.808 0 2.7168 244 17.548 0 2.4236 245 17.212 0 2.2858 246 16.62 0 2.5974 247 16.098 0 2.1012 248 15.353 0 2.271 249 14.768 0 2.1627 250 14.646 0 3.3815 251 15.494 0 3.0574 252 16.197 0 2.5114 253 16.173 0 3.0338 254 15.594 0 2.9961 255 15.837 0 1.6223 256 15.464 0 2.9101 257 14.99 0 2.8601 258 15.098 0 2.0176 259 15.174 0 2.3419 260 15.657 0 1.9996 261 16.005 0 2.0608 262 16.433 0 1.9897 263 16.932 0 1.9778 264 17.558 0 1.8633 265 18.053 0 1.9293 266 18.282 0 1.1151 267 18.329 0 0.18335 268 18.357 0 0.17233 269 17.962 0 1.542 270 17.47 0 1.6785 271 16.703 0 1.7868 272 16.264 0 2.2573 273 16.053 0 2.0786 274 15.566 0 2.0696 275 14.967 0 2.2521 276 14.432 0 2.4637 277 14.324 0 2.5278 278 14.413 0 1.8282 279 14.408 0 1.2332 280 15.307 0 1.8882 281 15.739 0 1.7749 282 16.007 0 1.1203 283 15.675 0 2.7222 284 15.611 0 2.9199 285 15.476 0 3.6513 286 15.344 0 3.3666 287 15.528 0 2.8313 288 15.693 0 2.3305 289 15.617 0 1.5961 290 14.879 0 2.7255 291 14.477 0 2.2089 292 15.519 0 1.6569 293 16.65 0 1.5292 294 17.462 0 2.1222 295 18.202 0 1.8865 296 18.855 0 1.1819 297 19.13 0 1.0379 298 19.28 0 1.2122 299 19.343 0 1.705 300 19.5 0 2.2174 301 20.225 0 1.2565 302 20.204 0 1.4804 303 19.916 0 1.8336 304 19.518 0 1.93 305 19.626 0 1.5039 306 20.092 0 1.4147 307 20.719 0 2.5025 308 21.895 0 2.8531 309 23.015 0 1.9839 310 23.859 0 1.7961 311 24.675 0 1.9254 312 25.311 0 1.8823 313 25.954 0 2.7723 314 26.32 0 1.8418 315 26.353 0 1.6915 316 26.216 0 1.8582 317 25.826 0 2.2188 318 25.644 0 2.3308 319 25.322 0 2.6391 320 25.125 0 1.9922 321 24.891 0 1.8615 322 25.489 0 1.1741 323 25.673 0 2.0009 324 25.92 0 1.798 325 26.035 0 2.0931 326 26.428 0 2.257 327 26.797 0 1.7327 328 26.814 0 1.6952 329 26.066 0 1.7477 330 25.082 0 2.5703 331 25.113 0 1.7577 332 24.55 0 1.3938 333 23.8 0 1.1409 334 22.93 0 1.3794 335 21.981 0 1.4865 336 20.919 0 2.5294 337 21.275 0 2.5684 338 21.679 0 2.6947 339 22.002 0 2.8176 340 21.863 0 3.2508 341 21.272 0 3.72 342 21.019 0 4.287 343 22.024 0 3.0178 344 22.384 0 3.243 345 22.838 0 3.0065 346 22.767 0 3.0213 347 22.372 0 4.0867 348 21.767 0 4.2334 349 22.521 0 4.1904 350 23.58 0 2.6617 351 24.383 0 2.4004 352 24.775 0 2.1969 353 25.221 0 1.872 354 24.867 0 3.5225 355 24.752 0 3.0801 356 24.758 0 2.594 357 24.336 0 2.7529 358 24.069 0 2.6677 359 23.942 0 2.6919 360 23.553 0 2.6785 361 23.441 0 2.283 362 23.217 0 2.5733 363 23.387 0 2.765 364 23.988 0 3.1245 365 24.664 0 2.1321 366 25.023 0 1.9221 367 25.451 0 2.3207 368 26.122 0 2.512 369 26.789 0 2.4197 370 27.376 0 2.6369 371 27.509 0 2.3023 372 27.796 0 2.1132 373 27.816 0 1.6512 374 27.421 0 3.1195 375 27.984 0 3.0203 376 28.187 0 2.6597 377 28.362 0 1.4033 378 27.8 0 1.9209 379 27.081 0 2.2661 380 26.427 0 3.0276 381 25.974 0 3.0678 382 25.636 0 2.8582 383 25.382 0 2.6249 384 25.338 0 2.238 385 25.418 0 2.5691 386 25.553 0 2.5839 387 25.878 0 3.0139 388 26.469 0 2.0308 389 26.429 0 2.8654 390 26.59 0 2.5372 391 26.538 0 2.4264 392 26.099 0 2.973 393 25.994 0 2.454 394 25.484 0 2.0378 395 24.865 0 2.8202 396 24.284 0 2.7848 397 23.66 0 3.4211 398 22.923 0 3.6602 399 22.782 0 2.8737 400 22.784 0 3.0492 401 22.851 0 2.7435 402 23.222 0 2.4982 403 23.209 0 4.0657 404 23.029 0 4.3219 405 23.065 0 2.8925 406 22.492 0 2.9625 407 21.937 0 2.5302 408 21.49 0 3.3103 409 21.596 0 3.458 410 20.874 0 4.0515 411 21.079 0 2.7412 412 21.249 0 2.4808 413 21.883 0 2.1234 414 22.336 0 2.0536 415 22.497 0 2.4764 416 22.43 0 2.9049 417 21.926 0 2.6555 418 21.595 0 2.327 419 21.6 0 1.5408 420 21.653 0 1.9617 421 21.77 0 2.4104 422 21.971 0 2.4044 423 21.898 0 2.7616 424 21.485 0 2.8212 425 20.932 0 1.8221 426 19.789 0 1.4295 427 18.821 0 1.3356 428 18.043 0 1.7922 429 17.156 0 1.6468 430 16.31 0 1.7399 431 15.901 0 1.4525 432 15.92 0 2.26 433 16.407 0 1.8066 434 16.728 0 2.2653 435 16.136 0 3.5675 436 16.491 0 2.7732 437 16.704 0 3.1159 438 16.328 0 2.5222 439 16.147 0 2.5556 440 16.025 0 2.6836 441 15.699 0 4.0099 442 16.393 0 2.6963 443 16.329 0 3.24 444 17.251 0 2.9774 445 18.156 0 2.6946 446 19.342 0 1.8157 447 20.462 0 1.8624 448 21.015 0 2.326 449 21.529 0 1.3716 450 21.673 0 1.1865 451 21.691 0 1.9581 452 22.626 0 1.7585 453 23.734 0 2.0386 454 24.633 0 1.8387 455 25.83 0 0.83472 456 25.664 0 2.032 457 26.126 0 1.712 458 26.609 0 2.572 459 26.841 0 2.0305 460 27.418 0 1.2007 461 27.642 0 1.6595 462 28.387 0 1.6556 463 28.839 0 1.8329 464 28.79 0 2.3165 465 29.088 0 1.7125 466 29.003 0 1.6516 467 28.311 0 1.5738 468 27.619 0 1.79 469 27.794 0 1.7 470 27.349 0 1.539 471 26.765 0 1.4733 472 26.7 0 1.129 473 25.85 0 1.6658 474 24.916 0 2.04 475 24.643 0 1.8481 476 24.384 0 1.412 477 24.109 0 1.343 478 23.744 0 1.5993 479 23.261 0 1.595 480 22.309 0 1.6149 481 21.341 0 1.6227 482 20.524 0 1.6411 483 19.726 0 1.6749 484 18.823 0 1.3622 485 18.095 0 1.6361 486 17.922 0 1.128 487 17.651 0 2.621 488 17.768 0 2.4755 489 17.217 0 2.088 490 16.461 0 2.903 491 15.496 0 3.0781 492 14.7 0 2.9573 493 13.819 0 2.2994 494 13.206 0 0.91131 495 12.567 0 1.2327 496 12.69 0 0.23662 497 12.716 0 1.0633 498 12.995 0 1.405 499 13.293 0 1.5484 500 13.609 0 2.0384 501 14.186 0 2.3522 502 14.37 0 1.9266 503 13.939 0 2.0473 504 13.517 0 1.7337 505 13.146 0 2.2336 506 13.175 0 2.0306 507 13.683 0 2.2066 508 13.992 0 2.512 509 14.428 0 1.9493 510 14.124 0 2.7887 511 14.013 0 3.0361 512 13.801 0 2.6734 513 13.911 0 2.7517 514 13.861 0 2.4606 515 13.485 0 1.6643 516 12.454 0 1.5817 517 11.102 0 1.3621 518 9.9758 0 1.7595 519 9.8251 0 1.5884 520 10.555 0 1.7123 521 10.955 0 2.2626 522 11.537 0 2.3664 523 12.043 0 2.4128 524 12.062 0 1.7853 525 13.323 0 0.98909 526 14.481 0 0.42384 527 15.471 0 0.61351 528 16.372 0 1.2699 529 17.496 0 1.1349 530 18.139 0 1.6784 531 18.612 0 1.712 532 18.788 0 2.1959 533 18.934 0 2.0372 534 18.432 0 2.7192 535 18.861 0 2.0801 536 19.756 0 1.466 537 20.674 0 1.5392 538 21.514 0 0.67359 539 21.459 0 2.0833 540 21.805 0 3.1592 541 22.227 0 2.6536 542 22.361 0 3.2321 543 23.322 0 3.2242 544 24.237 0 2.3724 545 25.16 0 1.0866 546 25.341 0 0.33126 547 25.338 0 0.78663 548 25.475 0 0.90217 549 25.038 0 1.6578 550 24.497 0 1.8244 551 24.067 0 1.6052 552 23.557 0 2.3437 553 23.225 0 1.5569 554 23.027 0 1.8101 555 22.411 0 3.0283 556 21.712 0 2.8592 557 22.361 0 2.3869 558 22.357 0 2.4003 559 22.798 0 1.9567 560 23.382 0 2.2697 561 23.131 0 2.8298 562 23.002 0 1.849 563 22.17 0 2.2734 564 21.525 0 2.2809 565 21.536 0 2.2969 566 21.442 0 2.2649 567 21.125 0 2.4734 568 20.727 0 3.1644 569 20.846 0 2.9508 570 20.841 0 2.6885 571 20.32 0 0.99024 572 19.499 0 0.51844 573 18.608 0 1.4315 574 19.028 0 1.5416 575 18.666 0 2.1782 576 19.419 0 2.1395 577 19.384 0 2.7443 578 19.151 0 2.4974 579 18.888 0 1.3659 580 18.988 0 2.3442 581 19.675 0 1.8859 582 20.113 0 1.6016 583 20.524 0 1.4854 584 20.98 0 0 585 20.98 0 0 586 20.793 0 1.5549 587 20.787 0 2.2833 588 20.868 0 1.3548 589 20.859 0 0.40745 590 20.782 0 0.57326 591 20.149 0 2.3653 592 19.84 0 2.705 593 19.865 0 2.0771 594 20.178 0 1.6631 595 20.497 0 0.50267 596 20.338 0 0.6322 597 19.706 0 1.8572 598 19.197 0 2.1261 599 18.9 0 1.8953 600 18.455 0 1.627 601 18.465 0 0.67564 602 17.891 0 1.3535 603 16.999 0 1.7139 604 16.157 0 1.4249 605 15.477 0 1.1695 606 14.897 0 2.0584 607 14.058 0 2.4859 608 13.974 0 2.3436 609 13.478 0 2.4153 610 13.32 0 1.6341 611 13.565 0 0.11897 612 13.581 0 0 613 12.865 0 1.4542 614 12.916 0 1.6031 615 12.97 0 1.3696 616 13.144 0 1.1633 617 12.988 0 1.8023 618 12.946 0 1.7478 619 13.642 0 1.7286 620 14.2 0 1.8466 621 13.591 0 2.4932 622 13.093 0 2.1932 623 13.022 0 1.9626 624 13.241 0 2.0899 625 12.952 0 1.6157 626 13.668 0 1.7377 627 14.521 0 1.166 628 15.492 0 0.77024 629 16.353 0 1.3676 630 17.334 0 1.4889 631 18.338 0 0 632 18.338 0 0.31417 633 18.394 0 0.90784 634 18.548 0 0.80674 635 18.68 0 0.65559 636 18.81 0 1.392 637 19.105 0 1.5785 638 19.47 0 0.86351 639 18.719 0 1.1314 640 17.876 0 1.5411 641 17.061 0 1.2856 642 16.257 0 0.57485 643 15.312 0 1.8216 644 14.973 0 1.2399 645 15.331 0 0.26004 646 15.269 0 2.3348 647 15.178 0 2.4884 648 15.211 0 2.344 649 15.263 0 1.1512 650 15.396 0 0.75709 651 15.117 0 1.6413 652 14.16 0 1.3591 653 13.555 0 1.8929 654 13.208 0 2.1545 655 12.865 0 1.3802 656 12.01 0 1.3247 657 11.347 0 1.1752 658 11.39 0 1.0579 659 12.115 0 1.2347 660 12.737 0 1.415 661 13.428 0 1.3228 662 14.248 0 1.3782 663 14.949 0 1.8922 664 15.083 0 1.6713 665 15.145 0 0.82206 666 14.952 0 0.84007 667 14.649 0 1.2943 668 14.314 0 1.2667 669 13.921 0 1.3292 670 13.552 0 1.2706 671 13.552 0 0 672 13.552 0 0 673 13.091 0 1.6063 674 11.752 0 1.6986 675 10.219 0 1.4469 676 8.457 0 1.1125 677 7.6812 0 1.4078 678 6.7401 0 1.6384 679 5.8168 0 1.6781 680 5.8437 0 0.29938 681 5.7969 0 0.55262 682 5.7497 0 0.87925 683 5.8008 0 0 684 5.759 0 0.52522 685 5.7263 0 1.0684 686 5.8218 0 0.22899 687 5.8589 0 0.99143 688 6.3158 0 1.4522 689 6.3467 0 1.3521 690 5.9537 0 1.5706 691 6.5294 0 1.9495 692 7.5105 0 1.2043 693 8.0695 0 1.5164 694 7.8703 0 2.0303 695 7.5794 0 1.6596 696 7.0549 0 1.9529 697 7.3033 0 0.52545 698 7.1442 0 0.97574 699 6.5309 0 2.7942 700 6.8693 0 2.5358 701 7.6379 0 1.2365 702 7.5486 0 1.6963 703 7.6649 0 2.175 704 7.9391 0 1.1911 705 7.7225 0 1.0864 706 7.6465 0 0.4406 707 7.5355 0 0.75355 708 6.913 0 1.3871 709 5.9908 0 2.0102 710 5.8114 0 0.67884 711 4.9814 0 1.2956 712 4.2352 0 1.1661 713 4.1193 0 0.95633 714 4.0688 0 0.88106 715 3.713 0 1.5219 716 3.7008 0 0.41382 717 3.7097 0 0.086562 718 3.6581 0 0.37076 719 2.901 0 1.4012 720 2.0783 0 0.92561 721 1.1852 0 0.89554 722 1.1586 0 0.17671 723 0.64955 0 1.3763 724 -1.4544e-14 0 1.4198 725 -1.4544e-14 0 0