1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0.09302 7 0.011881 0 0.096658 8 0.024336 0 0.092187 9 0.036086 0 0 10 0.036086 0 0 11 0.036086 0 0.14332 12 0.056421 0 0.15346 13 0.078592 0 0.14619 14 0.099443 0 0 15 0.099443 0 0 16 0.099443 0 0 17 0.099443 0 0.73346 18 0.30529 0 0.71328 19 0.501 0 0.68847 20 0.68487 0 0 21 0.68487 0 0 22 0.68487 0 0 23 0.68487 0 0.32133 24 0.74334 0 0.51757 25 0.83496 0 1.2926 26 1.1054 0 1.4901 27 1.4341 0 1.1808 28 1.7073 0 2.3412 29 2.3761 0 1.2454 30 2.6455 0 0.94003 31 3.5147 0 0.24119 32 4.5079 0 0.36039 33 5.4808 0 0.52066 34 6.4395 0 0.63422 35 7.3719 0 0.65911 36 8.2637 0 1.0243 37 9.1278 0 0.58215 38 9.267 0 0.61294 39 9.3932 0 0.1688 40 9.367 0 0.87765 41 9.5345 0 0.88776 42 8.9419 0 1.1612 43 8.2896 0 0.84585 44 7.5767 0 0.61396 45 6.7354 0 0.49927 46 5.888 0 0.91366 47 5.1854 0 0.87925 48 4.5774 0 0.97431 49 4.6216 0 1.3663 50 4.6896 0 1.4796 51 4.9118 0 0.75841 52 5.0353 0 0.66453 53 5.0851 0 0.83958 54 5.1536 0 0.97269 55 5.1968 0 1.1995 56 5.1802 0 2.4527 57 5.4701 0 2.1401 58 5.7323 0 1.8661 59 5.9235 0 1.5261 60 5.7852 0 2.6187 61 5.8158 0 2.875 62 5.7678 0 3.1498 63 5.5726 0 3.1397 64 5.6536 0 2.763 65 5.7288 0 2.4065 66 5.8416 0 1.7685 67 5.8915 0 1.5557 68 5.8901 0 1.0339 69 5.8994 0 0.47435 70 5.8363 0 1.0447 71 5.8875 0 0.66532 72 5.8945 0 0.87206 73 5.9354 0 0.36754 74 5.7084 0 0.79063 75 5.4306 0 0.85248 76 5.2286 0 0.95687 77 5.0997 0 0.76054 78 5.6802 0 0.7115 79 6.4861 0 0.61663 80 7.4702 0 0.12121 81 8.386 0 0.36545 82 9.1225 0 0.6402 83 9.815 0 1.1091 84 10.586 0 0.96608 85 11.316 0 0.97058 86 11.25 0 0.98595 87 11.927 0 1.0654 88 12.605 0 1.6117 89 12.865 0 1.8999 90 13.236 0 1.2809 91 13.446 0 0.69645 92 13.38 0 1.8406 93 12.998 0 1.4471 94 12.614 0 0.87582 95 12.614 0 1.4817 96 12.54 0 1.2259 97 12.353 0 1.1519 98 12.087 0 1.2014 99 11.7 0 0.72082 100 11.008 0 0.64651 101 10.273 0 1.1311 102 9.8418 0 0.52946 103 9.4228 0 0.82737 104 9.802 0 1.6551 105 10.557 0 1.6079 106 11.348 0 1.6444 107 12.085 0 1.215 108 12.418 0 2.1068 109 12.983 0 2.3319 110 13.623 0 2.7398 111 14.121 0 2.7379 112 14.678 0 2.0543 113 15.077 0 2.5375 114 15.361 0 3.5758 115 16.045 0 3.3403 116 16.961 0 2.436 117 17.497 0 1.1152 118 17.904 0 0.90526 119 18.197 0 0.52596 120 18.232 0 0.57414 121 17.905 0 1.5765 122 17.533 0 1.3229 123 16.727 0 2.5007 124 16.168 0 2.5027 125 16.174 0 2.058 126 15.788 0 1.8357 127 15.344 0 1.866 128 14.993 0 2.0716 129 14.945 0 0.95147 130 14.095 0 2.4139 131 13.312 0 2.3674 132 12.601 0 1.9406 133 11.86 0 1.747 134 11.001 0 2.0932 135 10.275 0 1.6705 136 9.8047 0 1.2817 137 9.3971 0 1.5585 138 9.5244 0 0.92488 139 9.6545 0 0.89208 140 9.7871 0 0.69929 141 9.8522 0 0.63509 142 9.7963 0 0.88141 143 9.7758 0 0.77575 144 9.8036 0 0.43981 145 9.4404 0 2.3241 146 9.5222 0 3.0046 147 9.7651 0 2.7576 148 9.9345 0 2.2037 149 9.7711 0 1.6731 150 9.478 0 1.7951 151 9.2385 0 0.98141 152 9.0911 0 0.75884 153 8.846 0 0.95441 154 8.4961 0 1.8975 155 8.1279 0 2.44 156 8.0875 0 2.806 157 8.154 0 2.4118 158 8.1652 0 2.6598 159 7.8999 0 3.4849 160 8.1245 0 3.3692 161 8.6276 0 2.2135 162 9.1377 0 1.7802 163 9.285 0 1.6984 164 9.4119 0 1.8766 165 9.8075 0 1.3275 166 10.059 0 0.95665 167 10.005 0 1.1194 168 9.9834 0 1.426 169 10.015 0 1.1028 170 9.9614 0 1.0888 171 9.9534 0 0.55987 172 9.8371 0 1.1834 173 9.7091 0 1.0769 174 9.5975 0 0.78338 175 9.0323 0 2.4115 176 8.4043 0 2.4225 177 7.7495 0 3.6752 178 7.7706 0 3.5424 179 7.855 0 1.8868 180 7.7038 0 1.0619 181 7.1809 0 1.836 182 7.4434 0 1.1392 183 7.686 0 1.3677 184 7.8296 0 1.7136 185 7.919 0 1.8528 186 7.941 0 1.7353 187 7.9349 0 1.5288 188 7.7348 0 2.0428 189 8.1065 0 1.4757 190 8.2905 0 1.5244 191 8.5358 0 1.0292 192 8.3362 0 1.7497 193 8.0635 0 1.7839 194 7.8198 0 1.7668 195 7.9385 0 0.98257 196 7.9777 0 0.80402 197 7.9317 0 0.72985 198 7.8571 0 0.95149 199 7.8161 0 1.1274 200 7.6685 0 1.8477 201 7.5716 0 1.5981 202 7.4272 0 1.7574 203 7.3065 0 1.4542 204 7.0561 0 1.5041 205 7.7844 0 1.4114 206 8.5995 0 1.5891 207 9.3483 0 1.7129 208 10.116 0 1.4971 209 10.858 0 1.5928 210 11.547 0 1.5732 211 12.142 0 0.65013 212 12.243 0 0.47078 213 12.313 0 1.8004 214 12.714 0 1.6267 215 13.029 0 1.2332 216 13.182 0 1.6519 217 13.413 0 1.8072 218 13.655 0 1.4587 219 13.752 0 1.3023 220 13.752 0 1.3617 221 13.694 0 1.4462 222 13.564 0 1.2684 223 13.661 0 0.76965 224 13.815 0 1.4558 225 14.1 0 1.1697 226 14 0 2.4095 227 14.544 0 2.6272 228 15.165 0 3.1161 229 15.764 0 2.386 230 16.133 0 2.2598 231 16.267 0 1.5988 232 16.147 0 2.1249 233 15.957 0 2.5963 234 16.039 0 2.9798 235 16.721 0 2.2059 236 17.231 0 1.7519 237 17.25 0 2.099 238 17.388 0 1.2891 239 17.138 0 1.8743 240 16.877 0 1.3876 241 16.421 0 2.2245 242 16.474 0 2.5829 243 16.448 0 3.0044 244 16.358 0 2.5556 245 16.731 0 3.0439 246 17.127 0 3.4432 247 17.364 0 2.8302 248 17.899 0 2.3264 249 18.061 0 3.4339 250 19.556 0 1.4421 251 20.145 0 3.4024 252 19.999 0 4.125 253 20.291 0 3.9239 254 20.762 0 2.8915 255 21.184 0 2.5317 256 21.498 0 1.5084 257 21.493 0 1.87 258 21.86 0 2.4308 259 22.519 0 1.6993 260 23.468 0 2.0634 261 23.979 0 2.474 262 24.745 0 2.0275 263 25.238 0 1.0393 264 25.101 0 1.4318 265 24.797 0 0.95385 266 24.543 0 1.6101 267 24.568 0 1.7587 268 24.658 0 1.5022 269 24.735 0 1.0843 270 24.383 0 1.5028 271 23.864 0 1.3092 272 23.73 0 0.56996 273 23.017 0 0.93923 274 22.896 0 0.85484 275 22.766 0 0.87236 276 22.683 0 1.0062 277 23.119 0 1.5088 278 23.361 0 1.9721 279 23.353 0 1.8955 280 22.85 0 2.0551 281 22.648 0 1.2006 282 22.607 0 0.70284 283 22.126 0 1.4159 284 21.48 0 1.7726 285 20.819 0 1.6342 286 20.208 0 1.1918 287 19.181 0 2.1319 288 18.673 0 1.8128 289 18.703 0 1.8446 290 18.758 0 1.539 291 18.488 0 1.1117 292 17.687 0 1.2692 293 16.807 0 2.1763 294 17.005 0 1.492 295 17.097 0 1.7812 296 17.179 0 1.882 297 17.62 0 1.3238 298 17.242 0 1.0779 299 16.76 0 1.3619 300 16.177 0 1.5978 301 15.543 0 1.6427 302 15.028 0 1.5004 303 14.809 0 0.87825 304 14.503 0 1.0877 305 13.345 0 1.8713 306 12.459 0 1.6602 307 11.72 0 1.4155 308 10.54 0 1.7983 309 9.6885 0 1.8092 310 8.653 0 1.284 311 7.5898 0 0.54483 312 6.167 0 2.0314 313 5.5814 0 2.1091 314 4.7917 0 2.6954 315 3.896 0 2.1239 316 3.6201 0 1.2148 317 3.6396 0 0.93185 318 4.3313 0 1.1676 319 4.9873 0 0.37362 320 4.6497 0 1.0907 321 5.1394 0 1.1869 322 5.7342 0 1.0054 323 6.2529 0 1.0386 324 6.85 0 0.82374 325 7.5545 0 0.9649 326 8.1037 0 1.095 327 8.8558 0 1.2965 328 9.5762 0 0.46312 329 9.6461 0 0.46939 330 9.7199 0 1.4318 331 10.125 0 1.9043 332 10.555 0 1.5569 333 10.843 0 0.58533 334 10.881 0 0.26564 335 10.926 0 0.61031 336 10.99 0 0.53643 337 10.719 0 1.3315 338 10.393 0 1.5722 339 10.314 0 1.7159 340 10.718 0 1.4454 341 10.522 0 1.4212 342 10.333 0 1.652 343 10.119 0 1.8946 344 10.774 0 1.9754 345 10.618 0 1.1707 346 9.864 0 0.76864 347 9.032 0 0.67675 348 8.1712 0 0.46064 349 7.3525 0 0.74797 350 7.4001 0 0.36885 351 6.7416 0 1.2914 352 6.4451 0 1.2356 353 6.9207 0 0.98062 354 7.3389 0 0.91262 355 7.6666 0 0 356 7.3842 0 0.85868 357 7.0838 0 1.081 358 6.8284 0 1.3328 359 6.8749 0 0.56878 360 6.8257 0 1.804 361 7.0967 0 0.80452 362 7.2002 0 0.94722 363 7.4139 0 1.1355 364 7.7513 0 1.0142 365 7.762 0 1.5839 366 7.6649 0 1.5577 367 7.4845 0 0.98976 368 7.0519 0 1.0561 369 7.0331 0 0.13463 370 7.0331 0 0 371 7.0331 0 0.94088 372 7.3766 0 0.63598 373 7.0119 0 1.2807 374 6.5336 0 0.92359 375 6.5567 0 1.2139 376 6.1034 0 1.8239 377 5.665 0 2.2704 378 5.2963 0 2.4644 379 4.9816 0 2.4936 380 5.4752 0 3.1381 381 6.2013 0 2.3207 382 6.9713 0 0.87951 383 7.207 0 0.57677 384 8.0306 0 0.74974 385 8.8643 0 0.72097 386 9.5429 0 1.5368 387 10.504 0 1.2394 388 11.436 0 1.4819 389 12.303 0 2.1211 390 13.267 0 1.8772 391 14.289 0 1.328 392 14.988 0 0.43391 393 14.971 0 1.4243 394 15.098 0 0.77785 395 15.063 0 1.2447 396 15.131 0 0.87619 397 15.193 0 0.22214 398 14.96 0 0.85046 399 14.699 0 1.1415 400 14.469 0 1.5418 401 14.263 0 2.1793 402 14.176 0 1.67 403 14.226 0 0.88661 404 14.148 0 1.3805 405 14.097 0 0.96533 406 14.051 0 0.77729 407 14.081 0 1.2231 408 14.552 0 1.2228 409 14.411 0 1.1943 410 14.127 0 1.0488 411 13.704 0 1.1451 412 13.332 0 0.88319 413 12.767 0 1.7382 414 12.32 0 0.84774 415 11.425 0 1.6547 416 11.031 0 1.9341 417 10.792 0 1.456 418 11.401 0 1.5968 419 12.025 0 0.31598 420 12.058 0 0 421 12.058 0 0.45796 422 12.907 0 0.64008 423 13.73 0 0.78011 424 14.518 0 0.30415 425 14.518 0 0.67062 426 15.342 0 0.91645 427 16.2 0 1.1454 428 17.309 0 1.0333 429 18.045 0 1.6725 430 18.677 0 1.7932 431 18.513 0 1.1041 432 18.491 0 0.91665 433 18.562 0 1.0169 434 18.616 0 0.5257 435 18.578 0 1.1727 436 19.228 0 1.0656 437 19.071 0 1.2412 438 18.7 0 2.1508 439 18.308 0 2.44 440 17.567 0 2.6614 441 16.935 0 1.6421 442 16.704 0 0.82028 443 16.235 0 2.2437 444 16.18 0 1.7364 445 16.729 0 1.7669 446 16.188 0 3.4357 447 16.024 0 2.8159 448 15.473 0 2.9101 449 15.63 0 2.1164 450 16.118 0 0.80008 451 16.095 0 1.0927 452 15.909 0 1.7847 453 16.04 0 2.6261 454 17.029 0 2.1155 455 17.494 0 2.886 456 17.878 0 2.5885 457 18.107 0 1.9942 458 17.898 0 1.4814 459 17.413 0 1.3129 460 17.437 0 0.51477 461 17.406 0 0.5505 462 17.257 0 0.85962 463 17.295 0 0.82585 464 17.094 0 1.6931 465 16.806 0 1.8545 466 16.131 0 2.1775 467 15.521 0 1.8668 468 15.21 0 1.2563 469 14.457 0 1.7245 470 13.652 0 1.5787 471 12.979 0 2.3812 472 12.955 0 2.0324 473 13 0 1.7659 474 12.855 0 2.0577 475 12.935 0 0.94597 476 12.706 0 1.4656 477 12.319 0 1.6493 478 12.063 0 1.6493 479 12.69 0 1.5605 480 12.998 0 1.4371 481 12.748 0 2.2815 482 12.388 0 3.1206 483 12.398 0 2.9637 484 12.295 0 2.9216 485 12.343 0 1.7888 486 11.798 0 1.728 487 11.284 0 1.9372 488 10.803 0 2.0663 489 10.254 0 1.8439 490 9.6478 0 1.3336 491 8.9477 0 1.6819 492 9.008 0 1.3059 493 8.8782 0 1.6026 494 8.5807 0 1.6054 495 8.3603 0 1.1466 496 8.3106 0 0.77913 497 8.1951 0 0.88806 498 8.0993 0 0.60878 499 8.0034 0 0.58384 500 7.8036 0 1.1578 501 7.6759 0 0.7297 502 7.5431 0 0.70491 503 7.4437 0 0.86492 504 7.2628 0 2.2417 505 7.301 0 2.4579 506 7.3092 0 3.2122 507 7.6464 0 2.674 508 7.834 0 2.503 509 7.9576 0 1.4845 510 8.0619 0 1.5318 511 7.8829 0 1.8974 512 7.5855 0 1.978 513 7.2283 0 2.0092 514 6.8326 0 2.0355 515 6.8831 0 0.53089 516 6.8227 0 0.53643 517 6.8418 0 0.21436 518 6.8704 0 0.12749 519 6.8775 0 0.083862 520 6.8775 0 0 521 6.8775 0 0.33027 522 6.9382 0 0.31282 523 6.9946 0 0.29133 524 6.9459 0 1.299 525 6.8464 0 2.1142 526 6.6198 0 4.2611 527 7.4154 0 3.727 528 7.9095 0 2.3824 529 8.4249 0 1.7865 530 8.8936 0 2.5784 531 9.8355 0 1.9474 532 10.542 0 0.85107 533 11.309 0 0.77214 534 11.98 0 1.1962 535 12.199 0 1.7331 536 12.215 0 2.2083 537 12.18 0 1.8592 538 12.132 0 0.27616 539 12.121 0 0.55543 540 11.687 0 1.5237 541 11.115 0 1.3761 542 11.245 0 0.64784 543 11.371 0 0.62166 544 11.489 0 0.33768 545 11.551 0 0.1779 546 11.56 0 0.30028 547 11.586 0 0.14925 548 11.607 0 0 549 11.607 0 0 550 10.897 0 0.86897 551 10.155 0 1.0005 552 9.3798 0 1.1747 553 8.5673 0 1.2667 554 7.769 0 1.3577 555 7.7847 0 0.5398 556 7.5559 0 0.97741 557 7.5232 0 0.34528 558 7.5148 0 0.40646 559 7.54 0 0.39643 560 7.3932 0 1.1893 561 7.2366 0 1.6628 562 7.325 0 1.2349 563 7.4128 0 1.2452 564 7.5328 0 1.0755 565 7.6836 0 0.15411 566 7.6831 0 0.31464 567 7.5606 0 0.84918 568 7.2074 0 1.7272 569 6.6808 0 1.9762 570 6.9992 0 2.0455 571 7.182 0 2.3482 572 7.4061 0 2.1011 573 7.6104 0 2.2434 574 8.0129 0 1.1525 575 7.9414 0 0.37151 576 7.9414 0 0 577 7.9038 0 0.23098 578 7.8647 0 0.23808 579 7.7782 0 0.55058 580 7.0259 0 1.1594 581 6.2259 0 1.0882 582 5.4056 0 0.94117 583 4.5864 0 0.68181 584 3.7163 0 0.55712 585 3.7163 0 0 586 3.7163 0 0 587 3.695 0 0.14844 588 3.0629 0 1.2749 589 2.396 0 1.0603 590 1.7111 0 1.1973 591 1.0469 0 1.4548 592 0.68368 0 0.94535 593 0.4801 0 0.72903 594 0.055798 0 1.0569 595 0.042132 0 0.10422 596 0.024149 0 0.12996 597 1.2667e-14 0 0.16414 598 1.2667e-14 0 0