1 0 0 0 2 0 0 0.091633 3 0.011664 0 0.08984 4 0.023049 0 0 5 0.023049 0 0 6 0.023049 0 0.83123 7 0.17848 0 0.71542 8 0.30536 0 0.43103 9 0.37977 0 0 10 0.36839 0 0.08984 11 0.35672 0 0.091633 12 0.35672 0 0 13 0.35672 0 0 14 0.35672 0 0 15 0.35672 0 0 16 0.35672 0 0.10581 17 0.37065 0 0.10436 18 0.38433 0 0.086291 19 0.39517 0 0 20 0.39517 0 0 21 0.39517 0 0.35769 22 0.46298 0 0.25669 23 0.50616 0 0.27238 24 0.54508 0 0.09963 25 0.55801 0 0 26 0.55801 0 0.99925 27 1.0741 0 1.1618 28 1.5538 0 1.4984 29 2.4398 0 1.028 30 3.3379 0 0.63765 31 4.2359 0 0.64777 32 5.0702 0 0.84079 33 6.1864 0 0.98021 34 7.2879 0 1.0482 35 8.3043 0 0.96718 36 8.698 0 0.83574 37 8.9641 0 0.096095 38 8.9765 0 0.11181 39 8.9914 0 0.10682 40 9.0055 0 0.089428 41 8.7507 0 0.83574 42 8.357 0 0.96718 43 7.9375 0 1.2279 44 7.5569 0 1.2426 45 7.2324 0 0.95669 46 7.2324 0 0 47 7.2324 0 0.81922 48 7.3152 0 2.1428 49 8.2372 0 2.1273 50 9.2002 0 1.7247 51 9.5276 0 0.32716 52 9.5875 0 0.8758 53 10.45 0 1.0893 54 11.288 0 1.3142 55 12.104 0 1.1795 56 12.838 0 0.71615 57 12.938 0 0.57134 58 13.043 0 0 59 13.043 0 0.50073 60 13.127 0 0.45551 61 13.203 0 0.27786 62 13.251 0 0.24891 63 13.292 0 0 64 13.266 0 0.52246 65 13.291 0 0.60093 66 13.359 0 0.34963 67 13.348 0 0.78547 68 13.3 0 1.0881 69 13.383 0 0.23954 70 12.545 0 1.5582 71 11.793 0 1.6002 72 11.062 0 1.8351 73 10.79 0 1.7464 74 11.52 0 1.6551 75 12.197 0 1.4304 76 12.233 0 1.3521 77 12.335 0 1.1732 78 12.839 0 0.21213 79 12.276 0 1.1214 80 11.512 0 1.3049 81 10.644 0 1.3332 82 9.6638 0 3.1684 83 9.3116 0 2.4948 84 9.0931 0 1.5746 85 8.8081 0 1.8806 86 8.9116 0 2.4341 87 8.9596 0 2.411 88 8.6748 0 2.0918 89 9.0839 0 1.6599 90 10.014 0 1.1773 91 10.874 0 1.1859 92 11.676 0 0.76328 93 11.761 0 0.72259 94 11.857 0 0.1403 95 11.857 0 0.21712 96 11.854 0 0.49188 97 11.016 0 1.3537 98 10.151 0 1.2823 99 9.3641 0 1.6188 100 9.0189 0 1.1547 101 9.1795 0 0.57837 102 8.7602 0 1.8365 103 8.2909 0 1.9522 104 8.1364 0 1.2021 105 7.9826 0 1.0092 106 7.7583 0 1.0336 107 7.6698 0 0.98144 108 7.6093 0 0.93458 109 7.5302 0 1.06 110 7.3949 0 1.4938 111 7.283 0 1.4412 112 7.2386 0 0.8653 113 6.946 0 2.6142 114 7.6227 0 2.1394 115 8.0176 0 2.133 116 9.4473 0 1.0699 117 10.698 0 1.5688 118 11.875 0 1.3964 119 12.5 0 2.917 120 13.313 0 2.4386 121 13.94 0 2.208 122 14.422 0 1.1497 123 14.173 0 1.2607 124 13.658 0 1.2147 125 13.701 0 1.0002 126 13.908 0 0.80018 127 14.085 0 0.84018 128 14.24 0 0.29112 129 13.81 0 1.89 130 13.452 0 1.6249 131 13.096 0 1.74 132 13.034 0 1.9878 133 13.461 0 1.9246 134 13.4 0 2.4437 135 13.597 0 2.4344 136 13.584 0 3.817 137 13.517 0 3.1824 138 13.579 0 2.2051 139 13.621 0 2.5674 140 13.515 0 2.5164 141 14.194 0 1.854 142 14.983 0 1.933 143 15.879 0 1.9482 144 16.64 0 1.2174 145 16.725 0 1.6146 146 17.479 0 1.3117 147 18.199 0 1.1258 148 18.84 0 1.1027 149 19.429 0 0.11641 150 19.412 0 0.12565 151 19.395 0 0.11851 152 19.376 0 1.0799 153 19.731 0 1.0697 154 20.02 0 1.8219 155 19.772 0 1.3077 156 19.417 0 1.9932 157 19.502 0 1.9157 158 19.408 0 1.7441 159 19.921 0 0.63081 160 20 0 1.2999 161 19.545 0 2.7357 162 19.404 0 1.6912 163 18.853 0 2.0215 164 18.363 0 1.4987 165 18.396 0 1.4538 166 18.495 0 1.3927 167 18.327 0 2.3508 168 17.624 0 3.1293 169 17.844 0 2.5615 170 18.15 0 1.3813 171 18.169 0 1.747 172 17.889 0 1.9935 173 17.503 0 1.9417 174 17.18 0 1.7871 175 16.356 0 2.4651 176 15.776 0 2.5846 177 15.38 0 2.4299 178 14.667 0 1.9069 179 13.637 0 2.4593 180 13.932 0 2.2085 181 14.19 0 1.544 182 15.302 0 1.3693 183 16.447 0 1.1831 184 17.439 0 1.5963 185 18.323 0 1.5633 186 19.049 0 1.515 187 19.555 0 1.8676 188 20.211 0 1.5764 189 20.289 0 1.2455 190 20.044 0 1.7201 191 20.381 0 2.0783 192 20.896 0 1.3555 193 21.371 0 1.248 194 21.915 0 1.2213 195 22.26 0 1.7605 196 21.815 0 1.5931 197 21.28 0 1.8944 198 21.786 0 1.5859 199 22.301 0 2.728 200 23.081 0 1.9205 201 23.548 0 1.1158 202 23.638 0 1.6573 203 24.073 0 1.75 204 24.519 0 0.75312 205 24.545 0 0.69105 206 24.193 0 1.6688 207 23.509 0 1.9878 208 22.874 0 2.0296 209 22.695 0 1.9351 210 22.806 0 1.547 211 22.461 0 1.8711 212 21.919 0 2.0905 213 21.344 0 1.7849 214 21.157 0 1.1096 215 21.833 0 1.4462 216 21.655 0 2.0339 217 21.364 0 2.1279 218 21.082 0 2.0812 219 20.658 0 2.1978 220 20.614 0 1.8509 221 20.55 0 3.178 222 20.296 0 3.1142 223 19.869 0 2.8122 224 20.891 0 1.8606 225 21.673 0 1.9265 226 22.169 0 2.4145 227 22.401 0 2.5298 228 22.593 0 1.7304 229 22.497 0 0.98736 230 22.431 0 0.73614 231 22.304 0 0.84421 232 22.135 0 1.7199 233 21.659 0 3.4712 234 21.352 0 3.4906 235 21.178 0 4.1217 236 20.909 0 3.8011 237 20.382 0 3.5684 238 19.806 0 3.3058 239 19.129 0 3.4531 240 18.328 0 3.0787 241 17.662 0 2.5909 242 18.232 0 2.2399 243 19.098 0 1.753 244 18.811 0 2.4506 245 17.976 0 2.0396 246 18.362 0 3.0842 247 19.707 0 2.964 248 20.911 0 2.89 249 22.113 0 1.8938 250 22.735 0 2.4544 251 23.282 0 1.8593 252 23.156 0 1.9517 253 22.839 0 2.3534 254 22.871 0 2.7817 255 23.318 0 2.1941 256 24.03 0 2.0935 257 24.245 0 2.0946 258 24.362 0 1.6166 259 24.668 0 1.4727 260 25.091 0 2.4467 261 25.66 0 2.6454 262 26.004 0 2.5382 263 26.195 0 1.4137 264 26.081 0 1.6453 265 25.988 0 2.1108 266 26.207 0 1.7441 267 26.279 0 1.7154 268 26.647 0 1.3606 269 26.717 0 3.2073 270 27.224 0 2.5797 271 27.686 0 2.3087 272 27.736 0 2.0886 273 27.132 0 2.1212 274 26.44 0 1.6503 275 25.555 0 1.1501 276 24.532 0 1.0081 277 23.384 0 0.92376 278 23.442 0 0.17115 279 23.406 0 0.22124 280 23.395 0 0.089428 281 22.734 0 1.4369 282 21.643 0 1.6058 283 20.747 0 2.3386 284 20.554 0 1.8443 285 19.961 0 1.8853 286 19.161 0 2.1063 287 19.312 0 1.7859 288 19.306 0 2.042 289 19.221 0 1.5255 290 19.498 0 1.8214 291 19.378 0 1.4354 292 18.786 0 2.2586 293 18.71 0 2.0588 294 18.755 0 1.9023 295 19.277 0 2.6836 296 20.11 0 2.2284 297 20.197 0 3.4969 298 20.714 0 3.451 299 21.094 0 2.5294 300 21.124 0 2.4756 301 21.248 0 2.2238 302 21.374 0 1.7477 303 21.472 0 1.3122 304 22.347 0 1.1911 305 22.969 0 1.5503 306 23.214 0 2.2889 307 23.268 0 2.1858 308 22.377 0 2.4755 309 21.116 0 1.2372 310 20.57 0 1.6491 311 20.616 0 0.3959 312 20.48 0 1.1494 313 20.502 0 0.80981 314 20.665 0 0.79856 315 20.903 0 1.3772 316 21.164 0 1.8877 317 21.469 0 1.6838 318 22.364 0 0.99571 319 22.159 0 1.8966 320 21.883 0 2.124 321 22.011 0 1.7709 322 22.067 0 1.2714 323 22.921 0 1.0071 324 23.169 0 1.7866 325 23.429 0 1.16 326 23.414 0 1.4798 327 23.876 0 1.5232 328 23.651 0 1.9259 329 23.617 0 1.1008 330 23.362 0 1.8506 331 22.771 0 2.3025 332 22.804 0 2.6116 333 23.433 0 2.2479 334 23.495 0 2.3972 335 23.98 0 2.2051 336 23.117 0 2.6013 337 22.81 0 2.0403 338 22.457 0 2.2213 339 22.275 0 1.3568 340 22.056 0 0.91354 341 22.015 0 0.31162 342 21.967 0 0.73603 343 21.916 0 1.6767 344 21.957 0 1.549 345 21.985 0 2.2924 346 22.278 0 2.8321 347 22.583 0 2.7648 348 22.796 0 2.3971 349 22.703 0 2.4436 350 22.339 0 2.6108 351 21.876 0 2.1677 352 21.679 0 1.8019 353 20.902 0 2.2622 354 20.081 0 2.3229 355 19.782 0 2.8644 356 19.583 0 2.2592 357 19.176 0 2.142 358 19.394 0 1.2033 359 19.139 0 2.1004 360 18.86 0 2.1021 361 19.085 0 2.0405 362 18.253 0 1.8444 363 17.005 0 1.5768 364 15.491 0 2.1432 365 13.942 0 2.8192 366 13.507 0 2.6864 367 13.24 0 2.9396 368 12.63 0 2.2053 369 11.707 0 1.8479 370 10.329 0 2.0891 371 9.0299 0 2.3049 372 8.2037 0 1.2906 373 8.1979 0 1.2948 374 8.7938 0 1.0841 375 9.5177 0 0.89043 376 10.257 0 0.75698 377 10.979 0 0.67544 378 11.761 0 0.54381 379 12.695 0 0.5373 380 13.572 0 0.16697 381 13.597 0 0.92007 382 14.372 0 0.80522 383 15.174 0 0.90367 384 15.932 0 0.11761 385 15.948 0 0.12047 386 15.964 0 0.12123 387 15.981 0 0.11552 388 15.996 0 0 389 15.973 0 0.16001 390 15.188 0 1.0266 391 14.379 0 0.83076 392 13.608 0 0.90554 393 13.589 0 0.13856 394 12.712 0 0.5373 395 11.762 0 0.40306 396 10.778 0 0.23595 397 9.7992 0 0.26961 398 8.8348 0 0.42203 399 7.9051 0 0.62671 400 7.1226 0 1.0453 401 7.0753 0 0.27484 402 6.7432 0 1.1363 403 6.4635 0 0.85509 404 6.4635 0 0 405 6.0972 0 0.94776 406 5.6945 0 0.97252 407 5.2924 0 1.1568 408 5.2206 0 0.37269 409 5.0437 0 0.84976 410 4.8005 0 1.0435 411 4.6714 0 0.55515 412 4.6714 0 0 413 4.6714 0 0 414 4.2621 0 0.97609 415 3.7996 0 0.99595 416 3.2992 0 1 417 3.2567 0 0.25354 418 2.5791 0 1.2148 419 1.7582 0 1.1187 420 0.78146 0 0.90324 421 -4.4409e-15 0 0.7575 422 -4.4409e-15 0 0 423 -4.4409e-15 0 0