1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0 7 0 0 0 8 0 0 0.25335 9 0.042436 0 0.10106 10 0.055592 0 0.43787 11 0.14601 0 0.29209 12 0.19736 0 0 13 0.19736 0 0.63695 14 0.3255 0 0.7206 15 0.46273 0 1.1318 16 0.68595 0 0.66123 17 0.80616 0 0.77385 18 1.6713 0 0.37779 19 2.5981 0 0.53089 20 3.4776 0 0.64564 21 4.3128 0 0.87911 22 5.1107 0 0.36489 23 6.0745 0 0.44368 24 6.9824 0 0.55455 25 7.8534 0 0.64392 26 8.6894 0 0.71481 27 9.4929 0 0.76048 28 9.6622 0 0.99412 29 9.8896 0 1.085 30 10.161 0 1.0679 31 10.427 0 0.80792 32 10.637 0 0.2668 33 10.675 0 0.11122 34 9.8859 0 0.83677 35 9.3142 0 0.89569 36 8.7204 0 1.2664 37 8.1965 0 1.4449 38 7.6671 0 0.7621 39 7.8169 0 0.12078 40 7.8333 0 0 41 7.8333 0 0.97411 42 8.1039 0 0.88495 43 8.3592 0 1.7319 44 8.7651 0 0.99342 45 8.9125 0 0.68761 46 8.9809 0 0.47825 47 9.0304 0 0.4513 48 9.093 0 0.31456 49 8.8325 0 1.1736 50 8.4921 0 1.8761 51 8.7302 0 2.2492 52 9.401 0 2.3532 53 8.8738 0 2.2079 54 8.3206 0 2.2972 55 7.5331 0 2.5016 56 6.8806 0 1.2631 57 5.9015 0 1.1315 58 5.8993 0 0.37162 59 5.7963 0 0.75368 60 5.688 0 0.62312 61 5.5525 0 1.616 62 5.7929 0 0.9991 63 5.9998 0 1.0089 64 6.178 0 0.19157 65 6.1333 0 1.5881 66 6.3883 0 1.2765 67 6.5523 0 0.1351 68 6.5712 0 0 69 6.5712 0 0.14363 70 6.5463 0 1.3839 71 7.284 0 2.7036 72 8.2908 0 2.2086 73 8.9224 0 1.7678 74 9.5873 0 0.86792 75 9.7856 0 0.43756 76 9.6536 0 2.0981 77 9.9307 0 2.2623 78 11.06 0 1.6562 79 12.199 0 1.0545 80 13.281 0 0.11522 81 13.257 0 1.2196 82 13.379 0 0.40436 83 13.307 0 0.96645 84 14.135 0 1.0914 85 14.769 0 0.99982 86 15.259 0 1.0602 87 15.575 0 1.3056 88 15.981 0 1.7026 89 16.96 0 1.9743 90 17.128 0 2.3026 91 17.353 0 1.4166 92 16.782 0 1.2854 93 16.995 0 1.3331 94 16.732 0 1.8478 95 16.749 0 1.6751 96 16.72 0 1.72 97 16.819 0 1.9672 98 17.18 0 1.8943 99 17.631 0 1.4695 100 18.014 0 1.1584 101 18.338 0 0.16249 102 18.338 0 0 103 18.286 0 0.83209 104 19.174 0 0.65554 105 20.025 0 0.90998 106 20.309 0 1.7959 107 20.038 0 2.9501 108 19.979 0 2.3647 109 19.914 0 1.8751 110 19.537 0 1.4115 111 20.054 0 1.2271 112 20.592 0 1.3079 113 20.207 0 3.0504 114 20.077 0 2.3118 115 19.262 0 2.6561 116 19.012 0 2.1812 117 18.557 0 2.1948 118 18.45 0 1.5263 119 18.611 0 0.71413 120 18.738 0 1.8194 121 19.284 0 2.0409 122 19.631 0 2.0173 123 19.621 0 2.3719 124 19.547 0 3.3355 125 19.482 0 3.3835 126 19.428 0 2.0542 127 19.276 0 2.1254 128 19.657 0 1.2052 129 20.011 0 1.2113 130 19.832 0 2.826 131 19.892 0 2.2385 132 19.903 0 1.5234 133 19.776 0 2.3001 134 19.744 0 2.8232 135 20.108 0 2.1823 136 20.609 0 2.5044 137 21.253 0 2.6171 138 21.564 0 2.3982 139 21.771 0 0.90259 140 21.173 0 3.0019 141 21.175 0 2.5459 142 21.016 0 2.9041 143 21.228 0 2.2494 144 20.634 0 3.0359 145 20.327 0 3.333 146 20.508 0 3.1084 147 20.522 0 3.4919 148 21.374 0 3.1534 149 22.156 0 2.6759 150 22.601 0 2.5868 151 23.01 0 3.0537 152 23.052 0 2.8072 153 23.195 0 3.0983 154 23.285 0 3.9797 155 23.385 0 3.855 156 23.565 0 2.9954 157 23.349 0 2.4911 158 23.155 0 2.1399 159 22.847 0 1.6053 160 22.427 0 1.8328 161 23.18 0 1.0676 162 23.461 0 2.3543 163 23.959 0 2.3298 164 24.363 0 1.2236 165 24.169 0 0.94161 166 23.265 0 1.1889 167 22.997 0 0.92762 168 23.432 0 0.35966 169 23.337 0 0.55699 170 23.236 0 0.58057 171 23.15 0 0.52048 172 22.868 0 1.9834 173 22.991 0 1.7435 174 23.006 0 0.92945 175 23.804 0 1.1321 176 24.649 0 1.3025 177 25.411 0 1.4618 178 26.018 0 1.9114 179 25.597 0 2.238 180 25.94 0 2.2489 181 25.42 0 2.2249 182 25.667 0 2.1158 183 25.87 0 2.0568 184 25.893 0 2.4448 185 25.883 0 2.2094 186 26.298 0 1.6369 187 26.12 0 1.5953 188 25.927 0 1.9176 189 25.68 0 2.0448 190 24.803 0 2.4267 191 24.297 0 1.788 192 23.766 0 1.2078 193 22.755 0 1.9588 194 21.715 0 2.3812 195 21.773 0 1.92 196 20.847 0 2.6813 197 20.982 0 2.7596 198 20.231 0 2.9384 199 20.382 0 3.1475 200 20.519 0 1.7233 201 20.438 0 2.1338 202 20.629 0 2.5108 203 20.12 0 2.9234 204 19.359 0 3.7875 205 19.126 0 2.4274 206 18.614 0 2.4358 207 18.906 0 1.7306 208 19.184 0 2.7872 209 19.453 0 2.9481 210 18.688 0 3.2354 211 18.414 0 3.3166 212 18.062 0 2.4166 213 17.668 0 1.9927 214 17.517 0 1.7755 215 17.482 0 2.8812 216 18.047 0 2.5199 217 18.713 0 2.3108 218 19.397 0 1.97 219 19.737 0 2.6977 220 20.233 0 2.3573 221 20.559 0 2.3451 222 21.079 0 2.3987 223 21.644 0 1.219 224 21.911 0 0.74289 225 22.058 0 0.3055 226 22.016 0 1.0135 227 21.699 0 2.7426 228 21.532 0 2.4111 229 21.412 0 2.3384 230 21.698 0 1.5321 231 21.417 0 1.6777 232 21.11 0 1.5757 233 20.801 0 2.2026 234 21.018 0 2.0085 235 21.01 0 1.6727 236 21.019 0 2.0023 237 21.164 0 1.9466 238 21.597 0 1.8106 239 21.801 0 2.0637 240 22.012 0 2.4534 241 22.524 0 2.2396 242 22.554 0 2.5856 243 22.543 0 3.3138 244 21.918 0 3.4129 245 21.349 0 2.8186 246 20.965 0 1.787 247 20.367 0 2.1451 248 19.909 0 2.3054 249 19.035 0 2.5798 250 18.219 0 2.415 251 17.519 0 3.242 252 17.14 0 3.5277 253 17.481 0 1.842 254 16.393 0 2.1435 255 15.599 0 1.6549 256 14.977 0 1.6473 257 15.529 0 1.6463 258 16.379 0 1.9593 259 16.82 0 1.3906 260 17.406 0 1.3652 261 17.853 0 1.9765 262 18.175 0 2.2245 263 18.288 0 1.6878 264 17.595 0 2.0275 265 17.456 0 1.7476 266 16.586 0 1.6471 267 15.182 0 1.6755 268 14.736 0 1.2509 269 14.015 0 2.2507 270 13.64 0 2.3635 271 13.389 0 1.7554 272 13.087 0 2.6082 273 13.348 0 3.2666 274 13.984 0 1.7009 275 13.922 0 1.862 276 14.616 0 1.6087 277 15.399 0 1.3065 278 15.934 0 1.5849 279 16.533 0 1.5616 280 17.219 0 1.3397 281 17.729 0 1.4908 282 17.58 0 1.9103 283 18.204 0 2.3404 284 18.635 0 2.8314 285 18.968 0 2.3559 286 19.015 0 2.9879 287 19.251 0 2.2438 288 18.567 0 2.9664 289 18.356 0 1.893 290 17.977 0 1.3408 291 17.335 0 1.009 292 16.31 0 0.89935 293 15.17 0 2.1112 294 14.652 0 2.0171 295 13.951 0 1.9008 296 13.728 0 2.1045 297 13.625 0 2.0809 298 13.676 0 2.0315 299 13.822 0 1.9238 300 13.738 0 3.0882 301 13.874 0 3.0343 302 14.467 0 2.3487 303 14.92 0 2.1839 304 15.067 0 2.7348 305 15.053 0 2.0693 306 14.867 0 1.3266 307 14.759 0 0.84356 308 14.678 0 1.0848 309 14.266 0 2.379 310 13.649 0 2.7341 311 13.253 0 2.7056 312 12.906 0 2.6868 313 13.024 0 2.7635 314 14.168 0 2.9083 315 15.066 0 1.7991 316 15.67 0 2.1317 317 16.019 0 2.2095 318 15.701 0 1.5588 319 15.916 0 2.8826 320 16.235 0 2.8681 321 16.619 0 2.3008 322 16.54 0 2.4875 323 16.417 0 2.6746 324 16.504 0 2.3436 325 15.584 0 3.9721 326 15.07 0 3.8197 327 14.727 0 2.9407 328 13.831 0 2.8077 329 13.85 0 2.4813 330 14.47 0 2.2415 331 14.776 0 1.8825 332 15.506 0 2.2535 333 16.487 0 2.3463 334 17.544 0 2.7161 335 18.591 0 2.4957 336 19.197 0 2.3685 337 19.398 0 1.8819 338 19.483 0 1.6892 339 20.313 0 1.5899 340 22.164 0 1.9997 341 23.597 0 2.1232 342 24.267 0 2.2294 343 25.903 0 1.6342 344 27.022 0 1.2172 345 27.927 0 2.1397 346 28.754 0 2.3443 347 28.585 0 2.8256 348 28.858 0 2.706 349 28.331 0 2.4914 350 28.208 0 2.0545 351 28.449 0 1.2047 352 28.392 0 1.261 353 28.341 0 1.448 354 28.755 0 0 355 28.755 0 0 356 28.742 0 0.4077 357 28.256 0 1.4187 358 27.905 0 1.818 359 27.467 0 1.6141 360 26.998 0 1.5657 361 26.744 0 1.1631 362 26.741 0 0.41667 363 26.571 0 0.71057 364 26.239 0 1.6372 365 25.227 0 3.6479 366 24.472 0 2.917 367 24.488 0 2.0034 368 24.171 0 2.2598 369 23.756 0 2.2323 370 23.533 0 2.5032 371 23.541 0 1.7661 372 24.499 0 1.8515 373 25.841 0 1.2209 374 27.155 0 0.85608 375 27.865 0 1.0228 376 27.78 0 0.83013 377 28.575 0 0.48083 378 28.627 0 2.5845 379 28.267 0 3.2205 380 27.812 0 2.9188 381 26.484 0 3.2721 382 25.27 0 2.6145 383 24.799 0 3.3377 384 25.336 0 3.2295 385 25.849 0 2.8428 386 25.993 0 2.6682 387 26.997 0 1.4678 388 27.297 0 1.5013 389 27.371 0 2.0054 390 27.306 0 2.0743 391 27.66 0 1.5745 392 27.751 0 1.7422 393 28.104 0 1.6618 394 28.151 0 1.7761 395 27.513 0 2.1329 396 27.046 0 2.1838 397 26.744 0 1.848 398 26.674 0 2.7746 399 26.488 0 3.6015 400 26.499 0 2.8337 401 25.684 0 2.2602 402 24.689 0 2.3014 403 23.881 0 1.0953 404 22.824 0 1.35 405 22.75 0 0.96973 406 21.997 0 1.1252 407 20.568 0 1.4909 408 20.318 0 1.1374 409 20.097 0 1.1005 410 19.879 0 0.97468 411 19.879 0 0 412 19.731 0 0.75045 413 18.872 0 1.6801 414 18.005 0 1.5783 415 17.348 0 1.0231 416 16.354 0 1.3741 417 15.395 0 1.2859 418 14.368 0 1.2917 419 13.496 0 1.8042 420 12.881 0 1.8862 421 12.179 0 0.87874 422 11.294 0 1.0919 423 10.386 0 1.0354 424 9.582 0 1.3602 425 9.413 0 0.7457 426 8.4399 0 0.75242 427 7.508 0 0.44069 428 6.5331 0 0.25713 429 5.6079 0 0.3834 430 5.6079 0 0 431 4.7463 0 0.94738 432 3.7379 0 0.53206 433 2.7171 0 0.48515 434 1.6513 0 0.459 435 1.5606 0 0.75789 436 1.4326 0 1.4506 437 1.441 0 1.2255 438 1.5304 0 0.86827 439 1.509 0 1.2475 440 1.5324 0 0.52077 441 1.4372 0 0.4537 442 1.2258 0 0.82561 443 0.974 0 0.97699 444 0.74008 0 1.0846 445 0.4409 0 1.4612 446 0.095077 0 1.599 447 1.8818e-14 0 0.50493 448 1.8818e-14 0 0