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 0.28505 9 0.049684 0 0.58099 10 0.14111 0 0.99898 11 0.33278 0 1.7603 12 0.77925 0 1.3508 13 1.1365 0 1.3239 14 1.4579 0 2.0908 15 2.3363 0 2.1441 16 3.1168 0 2.4389 17 3.986 0 2.3932 18 4.7803 0 1.5012 19 5.2085 0 0.82219 20 5.3854 0 0.66336 21 5.5316 0 0.62829 22 5.3516 0 2.079 23 5.3788 0 1.6808 24 5.2819 0 1.9123 25 5.2967 0 1.9161 26 5.0734 0 1.8769 27 5.3023 0 0.75959 28 5.4278 0 1.5575 29 5.6256 0 2.028 30 5.5517 0 2.446 31 6.332 0 2.4145 32 6.6098 0 2.4901 33 6.8941 0 2.8085 34 7.2894 0 2.4198 35 8.0279 0 2.352 36 8.5478 0 2.1123 37 8.6654 0 2.2487 38 8.5902 0 1.5783 39 8.1857 0 2.2586 40 8.0286 0 2.3979 41 8.3765 0 2.4052 42 8.5434 0 3.3614 43 8.9598 0 2.681 44 9.3943 0 1.1413 45 9.3964 0 1.6919 46 9.317 0 2.8138 47 9.5304 0 1.3499 48 9.6458 0 0.39908 49 9.6374 0 1.4529 50 9.9603 0 1.4075 51 10.257 0 1.4979 52 10.384 0 2.2932 53 10.556 0 1.8973 54 10.592 0 1.1815 55 10.498 0 1.0079 56 10.343 0 1.9705 57 10.254 0 2.0948 58 10.228 0 2.1534 59 10.5 0 1.5162 60 11.233 0 1.5135 61 12.141 0 1.9487 62 12.793 0 2.7369 63 13.889 0 2.4432 64 14.47 0 0.15379 65 14.47 0 2.0721 66 15.017 0 1.9293 67 14.812 0 2.1523 68 15.013 0 2.5181 69 15.15 0 2.9477 70 15.195 0 2.5175 71 15.737 0 1.982 72 16.18 0 2.4063 73 16.355 0 3.3921 74 16.735 0 2.6843 75 16.704 0 3.6978 76 17.516 0 3.0393 77 18.48 0 2.1156 78 19.398 0 1.4118 79 20.102 0 1.1835 80 20.684 0 1.1327 81 21.176 0 1.2712 82 21.459 0 0.4525 83 21.29 0 0.81989 84 21.192 0 0.46393 85 20.681 0 1.4228 86 19.973 0 1.465 87 19.39 0 0.97342 88 18.766 0 1.0457 89 18.133 0 1.3061 90 17.568 0 1.3189 91 17.01 0 1.5924 92 16.811 0 1.1591 93 16.428 0 1.7391 94 15.587 0 2.923 95 14.643 0 3.6964 96 14.464 0 2.9404 97 14.055 0 3.4711 98 14.213 0 2.7152 99 14.087 0 1.278 100 13.97 0 0.70134 101 13.772 0 0.98863 102 13.733 0 0.37108 103 13.546 0 1.7108 104 13.747 0 1.78 105 13.77 0 1.6279 106 13.09 0 2.0908 107 12.842 0 1.9744 108 12.828 0 1.6065 109 13.353 0 1.6769 110 13.81 0 0.4529 111 13.692 0 0.58686 112 13.516 0 1.1222 113 13.425 0 0.81006 114 13.382 0 1.148 115 13.227 0 1.7493 116 12.981 0 1.6766 117 12.654 0 1.1961 118 12.202 0 0.9933 119 11.7 0 1.0843 120 11.101 0 1.3686 121 10.606 0 2.9325 122 11.117 0 2.3466 123 11.641 0 2.3276 124 11.994 0 2.0333 125 11.571 0 3.0457 126 10.952 0 2.9914 127 10.654 0 2.2948 128 10.561 0 3.2529 129 11.651 0 1.4898 130 11.913 0 2.4949 131 12.142 0 1.7884 132 12.887 0 1.0144 133 13.506 0 1.1714 134 14.082 0 0.26279 135 14.09 0 1.0154 136 14.398 0 0.14619 137 13.812 0 1.2707 138 13.151 0 1.3244 139 12.464 0 1.4382 140 12.011 0 1.3087 141 12.242 0 1.1018 142 12.406 0 2.1722 143 12.86 0 2.2321 144 13.359 0 1.4303 145 13.644 0 1.2255 146 13.787 0 1.3072 147 13.768 0 1.9297 148 13.883 0 2.1672 149 13.997 0 2.0456 150 14.041 0 1.6993 151 13.969 0 1.5564 152 14.223 0 0.94052 153 14.121 0 1.9449 154 13.765 0 2.0078 155 13.31 0 1.5684 156 12.455 0 2.049 157 11.925 0 2.3678 158 11.561 0 1.8737 159 11.562 0 1.4977 160 11.455 0 0.98836 161 11.438 0 0.12611 162 11.438 0 0.66947 163 11.589 0 0.29468 164 11.633 0 0.3137 165 11.559 0 0.59928 166 11.01 0 2.1725 167 10.908 0 0.93186 168 10.253 0 1.7017 169 9.248 0 2.042 170 8.4232 0 1.6112 171 7.8324 0 1.2722 172 6.9979 0 1.2785 173 6.0457 0 1.3625 174 5.0934 0 1.5417 175 4.8193 0 1.4301 176 4.5322 0 1.2297 177 3.7073 0 2.905 178 2.8812 0 3.9422 179 2.0514 0 4.0788 180 1.5078 0 2.2961 181 1.3604 0 0.72298 182 1.3604 0 0 183 1.3375 0 0.15738 184 1.3253 0 0.094693 185 1.3151 0 0.08239 186 1.3151 0 0.64905 187 2.1376 0 0.14238 188 3.0053 0 0.8428 189 3.9932 0 0.63527 190 4.884 0 1.2826 191 5.5959 0 0.11972 192 5.6122 0 0 193 5.6122 0 0 194 5.6122 0 0.15006 195 4.9476 0 1.0479 196 4.0374 0 0.81269 197 3.2225 0 0.8902 198 2.4026 0 0.86375 199 1.7138 0 1.0749 200 1.8039 0 0.70188 201 1.7782 0 0.99288 202 2.591 0 1.2774 203 3.1565 0 1.0974 204 3.5613 0 0.94561 205 3.824 0 0.24611 206 3.73 0 1.5655 207 3.7406 0 2.1105 208 3.933 0 2.0222 209 4.1342 0 1.5971 210 4.3281 0 0.97113 211 4.4621 0 1.4982 212 4.6458 0 1.8363 213 4.867 0 1.6254 214 5.0852 0 1.0115 215 5.1643 0 0.59598 216 5.1732 0 0.43815 217 5.165 0 0.4762 218 5.164 0 0.15624 219 5.1403 0 0.29007 220 5.136 0 1.099 221 5.4148 0 1.2154 222 5.7383 0 1.7591 223 6.1328 0 2.3593 224 6.576 0 1.5445 225 6.8183 0 0.24828 226 6.7617 0 0.401 227 6.6972 0 1.1024 228 6.7935 0 1.5205 229 7.1104 0 1.7464 230 7.604 0 1.4871 231 8.5123 0 1.357 232 9.1581 0 1.4679 233 9.7952 0 1.3524 234 10.347 0 0.25545 235 10.364 0 0.33868 236 10.375 0 1.9796 237 10.648 0 2.1821 238 10.88 0 2.4795 239 11.09 0 2.8203 240 11.382 0 2.12 241 11.703 0 2.4175 242 12.22 0 0 243 12.207 0 0.098211 244 12.178 0 1.1104 245 12.567 0 1.7907 246 12.947 0 2.2854 247 13.397 0 1.4643 248 13.052 0 2.3 249 13.061 0 2.4036 250 12.991 0 1.7455 251 13.012 0 2.4833 252 13.115 0 2.5427 253 13.397 0 1.9676 254 13.725 0 3.0635 255 13.857 0 2.6251 256 13.655 0 2.8419 257 13.394 0 3.2758 258 13.758 0 2.9871 259 14.438 0 1.3545 260 14.833 0 1.8761 261 14.981 0 2.3538 262 15.311 0 1.8081 263 15.126 0 1.4984 264 14.99 0 1.8178 265 15.027 0 2.0466 266 14.864 0 2.4371 267 15.106 0 2.4615 268 14.755 0 2.9396 269 16.296 0 2.4429 270 17.951 0 2.7331 271 19.378 0 3.0148 272 20.871 0 1.9929 273 21.49 0 2.484 274 22.785 0 2.103 275 23.467 0 2.0563 276 23.912 0 2.198 277 24.67 0 1.3544 278 24.843 0 1.1216 279 25.578 0 1.4884 280 26.363 0 1.6654 281 26.576 0 2.1098 282 27.198 0 1.9764 283 27.171 0 2.4384 284 26.771 0 2.1096 285 26.4 0 2.0093 286 26.049 0 1.732 287 25.983 0 1.2267 288 25.819 0 1.3124 289 26.179 0 0.52393 290 25.966 0 1.3048 291 25.68 0 1.7141 292 24.928 0 1.8726 293 24.214 0 1.5156 294 23.58 0 1.064 295 23.695 0 1.0047 296 23.984 0 1.1305 297 24.725 0 0.86411 298 25.503 0 0.94686 299 26.308 0 0.84284 300 26.87 0 0.99733 301 26.58 0 1.3621 302 26.449 0 0.89806 303 26.467 0 0.28388 304 26.19 0 1.1716 305 25.025 0 1.8303 306 25.303 0 1.5203 307 24.669 0 2.3818 308 23.683 0 1.5953 309 22.203 0 1.299 310 21.328 0 2.0745 311 21.62 0 2.116 312 21.808 0 2.4553 313 21.874 0 2.6484 314 21.831 0 1.9925 315 21.369 0 2.5844 316 20.542 0 3.5898 317 19.892 0 3.2821 318 19.106 0 2.3358 319 18.567 0 2.0182 320 17.852 0 2.1726 321 17.301 0 2.8969 322 17.057 0 2.8431 323 16.748 0 2.773 324 18.033 0 2.3824 325 18.838 0 2.3038 326 19.303 0 2.029 327 19.241 0 2.5097 328 19.026 0 3.9768 329 19.152 0 3.4329 330 19.72 0 3.4754 331 20.063 0 2.968 332 20.187 0 2.9776 333 20.281 0 2.0704 334 19.673 0 2.1031 335 20.492 0 1.8405 336 20.775 0 2.1295 337 21.035 0 1.4989 338 20.97 0 1.6445 339 20.684 0 1.8839 340 20.831 0 1.8043 341 20.79 0 2.5319 342 21.408 0 2.0175 343 21.446 0 1.7906 344 21.985 0 2.0489 345 23.455 0 1.8482 346 24.384 0 2.2081 347 24.826 0 1.8376 348 25.218 0 1.9353 349 25.834 0 2.3621 350 26.639 0 1.9602 351 26.998 0 2.3104 352 27.429 0 2.2633 353 27.405 0 2.291 354 27.459 0 1.6429 355 27.231 0 2.4965 356 26.964 0 2.5834 357 26.717 0 2.6015 358 26.635 0 2.1027 359 26.354 0 2.6142 360 25.86 0 1.874 361 25.207 0 1.6959 362 24.552 0 1.6911 363 23.713 0 2.609 364 24.072 0 2.4382 365 24.11 0 3.1242 366 23.843 0 3.1356 367 23.741 0 2.6058 368 24.083 0 1.7507 369 24.966 0 3.1788 370 25.815 0 3.1606 371 26.08 0 2.3231 372 26.756 0 2.0927 373 27.211 0 2.3895 374 27.623 0 2.3204 375 27.593 0 2.1847 376 27.68 0 2.7578 377 27.758 0 2.9884 378 27.263 0 3.6597 379 27.366 0 2.6069 380 26.745 0 1.2841 381 25.656 0 1.4176 382 24.82 0 2.2607 383 24.565 0 1.9571 384 25.047 0 1.9545 385 25.486 0 2.5691 386 26.285 0 2.8727 387 26.217 0 3.4684 388 26.081 0 2.6066 389 25.68 0 2.7767 390 25.097 0 3.1922 391 25.177 0 1.0199 392 24.884 0 1.9403 393 25.113 0 1.9148 394 25.127 0 1.3362 395 24.804 0 2.1483 396 24.988 0 3.3527 397 25.684 0 3.0346 398 25.777 0 2.5159 399 25.41 0 2.3834 400 24.825 0 2.0185 401 24.81 0 1.7178 402 24.259 0 2.2548 403 24.039 0 2.6792 404 23.707 0 2.6658 405 23.503 0 1.4609 406 23.365 0 1.1309 407 23.003 0 1.9121 408 22.729 0 1.5654 409 22.306 0 2.2874 410 21.701 0 2.9854 411 21.089 0 2.5894 412 20.14 0 2.5747 413 18.664 0 2.6556 414 18.269 0 1.9685 415 18.23 0 1.0208 416 18.041 0 1.2116 417 17.475 0 2.1964 418 16.721 0 2.4336 419 16.228 0 1.7076 420 15.582 0 2.0574 421 14.778 0 2.4162 422 13.988 0 2.5796 423 13.437 0 2.1042 424 12.507 0 1.9435 425 11.217 0 2.1755 426 10.817 0 1.5506 427 10.531 0 1.1494 428 9.7182 0 2.1181 429 9.0267 0 1.5825 430 8.3703 0 0.7048 431 8.3972 0 0.96225 432 8.1788 0 0.68391 433 7.8925 0 0.95817 434 8.4673 0 0.91838 435 9.0148 0 0.81239 436 8.7346 0 0.91973 437 8.7346 0 0 438 8.7346 0 0 439 8.5975 0 0.57665 440 7.5669 0 1.4506 441 7.0512 0 0.94144 442 6.4112 0 0.85236 443 5.6805 0 0.78478 444 4.9167 0 0.48477 445 4.9993 0 0.79197 446 5.1588 0 0.73573 447 5.3024 0 0.37349 448 5.3744 0 0.34081 449 5.4378 0 0.21391 450 5.4718 0 0 451 5.4718 0 0 452 5.4718 0 0 453 5.4378 0 0.21391 454 4.8304 0 1.8536 455 4.1495 0 1.9047 456 3.3177 0 1.8028 457 2.4455 0 1.4213 458 1.9597 0 1.7632 459 1.2095 0 1.9364 460 0.73027 0 1.4678 461 0.07557 0 1.7114 462 0.03214 0 0.25781 463 2.1441e-15 0 0.23496