sing 	 0 	 98.684807 	 98.684807 
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sing 	 4 	 499.229025 	 98.684807 
sing 	 5 	 603.718821 	 104.489796 
sing 	 6 	 702.267574 	 98.548753 
sing 	 7 	 795.283447 	 93.015873 
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sing 	 10 	 1097.142857 	 98.684807 
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sing 	 14 	 1503.492063 	 104.489796 
sing 	 15 	 1602.176871 	 98.684807 
sing 	 16 	 1696.621315 	 94.444444 
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sing 	 27 	 2798.004535 	 98.684807 
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sing 	 30 	 3094.058957 	 98.684807 
sing 	 31 	 3198.548753 	 104.489796 
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sing 	 33 	 3397.641723 	 95.192744 
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sing 	 35 	 3604.897959 	 110.294785 
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sing 	 37 	 3802.267574 	 104.489796 
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sing 	 39 	 3993.832200 	 98.684807 
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sing 	 79 	 7999.274376 	 104.489796 
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sing 	 97 	 9798.820862 	 98.684807 
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sing 	 99 	 10001.995465 	 104.489796 
sing 	 100 	 10094.875283 	 92.879819 
sing 	 101 	 10199.365079 	 104.489796 
sing 	 102 	 10298.049887 	 98.684807 
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sing 	 104 	 10495.419501 	 98.684807 
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sing 	 109 	 11000.453515 	 104.489796 
sing 	 110 	 11099.138322 	 98.684807 
sing 	 111 	 11197.823129 	 98.684807 
sing 	 112 	 11296.507937 	 98.684807 
sing 	 113 	 11396.507937 	 100.000000 
sing 	 114 	 11493.877551 	 97.369615 
sing 	 115 	 11604.172336 	 110.294785 
sing 	 116 	 11697.052154 	 92.879819 
sing 	 117 	 11795.736961 	 98.684807 
sing 	 118 	 11894.421769 	 98.684807 
sing 	 119 	 11998.911565 	 104.489796 
sing 	 120 	 12097.596372 	 98.684807 
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sing 	 122 	 12294.965986 	 92.879819 
sing 	 123 	 12399.455782 	 104.489796 
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sing 	 125 	 12602.630385 	 104.489796 
sing 	 126 	 12695.510204 	 92.879819 
sing 	 127 	 12794.195011 	 98.684807 
sing 	 128 	 12902.108844 	 107.913832 
sing 	 129 	 12997.369615 	 95.260771 
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sing 	 132 	 13299.229025 	 104.489796 
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sing 	 134 	 13496.598639 	 96.371882 
sing 	 135 	 13601.088435 	 104.489796 
sing 	 136 	 13693.968254 	 92.879819 
sing 	 137 	 13802.244898 	 108.276644 
sing 	 138 	 13898.208617 	 95.963719 
sing 	 139 	 13995.827664 	 97.619048 
sing 	 140 	 14094.512472 	 98.684807 
sing 	 141 	 14199.002268 	 104.489796 
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sing 	 143 	 14402.176871 	 104.489796 
sing 	 144 	 14495.056689 	 92.879819 
sing 	 145 	 14593.741497 	 98.684807 
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sing 	 150 	 15098.775510 	 104.489796 
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sing 	 152 	 15296.145125 	 92.879819 
sing 	 153 	 15394.829932 	 98.684807 
sing 	 154 	 15505.124717 	 110.294785 
sing 	 155 	 15598.004535 	 92.879819 
sing 	 156 	 15696.689342 	 98.684807 
sing 	 157 	 15801.179138 	 104.489796 
sing 	 158 	 15899.863946 	 98.684807 
sing 	 159 	 15998.548753 	 98.684807 
sing 	 160 	 16097.233560 	 98.684807 
sing 	 161 	 16201.723356 	 104.489796 
sing 	 162 	 16294.603175 	 92.879819 
sing 	 163 	 16399.092971 	 104.489796 
sing 	 164 	 16503.582766 	 104.489796 
sing 	 165 	 16596.462585 	 92.879819 
sing 	 166 	 16700.952381 	 104.489796 
sing 	 167 	 16793.832200 	 92.879819 
sing 	 168 	 16904.126984 	 110.294785 
sing 	 169 	 16997.006803 	 92.879819 
sing 	 170 	 17099.795918 	 102.789116 
sing 	 171 	 17194.376417 	 94.580499 
sing 	 172 	 17304.671202 	 110.294785 
sing 	 173 	 17397.551020 	 92.879819 
sing 	 174 	 17496.235828 	 98.684807 
sing 	 175 	 17594.920635 	 98.684807 
sing 	 176 	 17699.410431 	 104.489796 
sing 	 177 	 17798.095238 	 98.684807 
sing 	 178 	 17896.780045 	 98.684807 
sing 	 179 	 17995.464853 	 98.684807 
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sing 	 183 	 18401.814059 	 104.489796 
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sing 	 185 	 18599.183673 	 92.879819 
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sing 	 189 	 18993.922902 	 98.684807 
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sing 	 194 	 19498.956916 	 104.489796 
sing 	 195 	 19597.641723 	 98.684807 
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sing 	 199 	 19998.185941 	 104.489796 
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sing 	 201 	 20201.360544 	 98.684807 
sing 	 202 	 20294.240363 	 92.879819 
sing 	 203 	 20404.535147 	 110.294785 
sing 	 204 	 20509.024943 	 104.489796 
sing 	 205 	 20596.099773 	 87.074830 
sing 	 206 	 20694.784580 	 98.684807 
sing 	 207 	 20799.274376 	 104.489796 
sing 	 208 	 20897.959184 	 98.684807 
sing 	 209 	 20996.643991 	 98.684807 
sing 	 210 	 21095.328798 	 98.684807 
sing 	 211 	 21194.013605 	 98.684807 
sing 	 212 	 21298.503401 	 104.489796 
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sing 	 216 	 21699.047619 	 104.489796 
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sing 	 219 	 21995.102041 	 98.684807 
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sing 	 226 	 22703.310658 	 98.684807 
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sing 	 228 	 22894.875283 	 92.879819 
sing 	 229 	 22999.365079 	 104.489796 
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sing 	 232 	 23295.419501 	 92.879819 
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sing 	 235 	 23597.278912 	 98.684807 
sing 	 236 	 23695.963719 	 98.684807 
sing 	 237 	 23794.648526 	 98.684807 
sing 	 238 	 23899.138322 	 104.489796 
sing 	 239 	 23997.823129 	 98.684807 
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sing 	 242 	 24299.682540 	 104.489796 
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sing 	 247 	 24804.716553 	 110.294785 
sing 	 248 	 24897.596372 	 92.879819 
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sing 	 250 	 25094.965986 	 92.879819 
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sing 	 253 	 25396.825397 	 98.684807 
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sing 	 256 	 25698.684807 	 104.489796 
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sing 	 265 	 26598.458050 	 104.489796 
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sing 	 267 	 26795.827664 	 92.879819 
sing 	 268 	 26894.512472 	 98.684807 
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sing 	 274 	 27498.231293 	 104.489796 
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sing 	 278 	 27898.775510 	 104.489796 
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sing 	 291 	 29199.092971 	 104.489796 
sing 	 292 	 29297.777778 	 98.684807 
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sing 	 294 	 29495.147392 	 98.684807 
sing 	 295 	 29593.832200 	 98.684807 
sing 	 296 	 29698.321995 	 104.489796 
sing 	 297 	 29797.006803 	 98.684807 
sing 	 298 	 29896.190476 	 99.183673 
sing 	 299 	 29994.376417 	 98.185941 
sing 	 300 	 30098.866213 	 104.489796 
sing 	 301 	 30197.551020 	 98.684807 
sing 	 302 	 30296.235828 	 98.684807 
sing 	 303 	 30394.920635 	 98.684807 
sing 	 304 	 30499.410431 	 104.489796 
sing 	 305 	 30598.095238 	 98.684807 
sing 	 306 	 30696.780045 	 98.684807 
sing 	 307 	 30795.464853 	 98.684807 
sing 	 308 	 30899.954649 	 104.489796 
sing 	 309 	 30998.639456 	 98.684807 
sing 	 310 	 31103.129252 	 104.489796 
sing 	 311 	 31196.009070 	 92.879819 
sing 	 312 	 31294.693878 	 98.684807 
sing 	 313 	 31399.183673 	 104.489796 
sing 	 314 	 31497.868481 	 98.684807 
sing 	 315 	 31596.553288 	 98.684807 
sing 	 316 	 31695.238095 	 98.684807 
sing 	 317 	 31793.922902 	 98.684807 
sing 	 318 	 31898.412698 	 104.489796 
sing 	 319 	 31997.097506 	 98.684807 
sing 	 320 	 32095.782313 	 98.684807 
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sing 	 322 	 32298.956916 	 104.489796 
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sing 	 324 	 32496.326531 	 98.684807 
sing 	 325 	 32600.816327 	 104.489796 
sing 	 326 	 32693.696145 	 92.879819 
sing 	 327 	 32798.185941 	 104.489796 
sing 	 328 	 32902.675737 	 104.489796 
sing 	 329 	 33001.360544 	 98.684807 
sing 	 330 	 33100.045351 	 98.684807 
sing 	 331 	 33198.730159 	 98.684807 
sing 	 332 	 33297.414966 	 98.684807 
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sing 	 334 	 33494.784580 	 98.684807 
sing 	 335 	 33599.274376 	 104.489796 
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sing 	 337 	 33796.643991 	 98.684807 
sing 	 338 	 33895.328798 	 98.684807 
sing 	 339 	 33994.013605 	 98.684807 
sing 	 340 	 34098.503401 	 104.489796 
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sing 	 342 	 34295.873016 	 92.879819 
sing 	 343 	 34394.557823 	 98.684807 
sing 	 344 	 34499.047619 	 104.489796 
sing 	 345 	 34597.732426 	 98.684807 
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sing 	 349 	 34998.276644 	 104.489796 
sing 	 350 	 35096.961451 	 98.684807 
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sing 	 353 	 35404.625850 	 110.294785 
sing 	 354 	 35497.505669 	 92.879819 
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sing 	 356 	 35700.680272 	 104.489796 
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sing 	 359 	 36002.539683 	 104.489796 
sing 	 360 	 36095.419501 	 92.879819 
sing 	 361 	 36194.104308 	 98.684807 
sing 	 362 	 36298.594104 	 104.489796 
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sing 	 366 	 36699.138322 	 104.489796 
sing 	 367 	 36797.823129 	 98.684807 
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sing 	 372 	 37297.052154 	 92.879819 
sing 	 373 	 37395.736961 	 98.684807 
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sing 	 379 	 37999.455782 	 104.489796 
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sing 	 382 	 38295.510204 	 98.684807 
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sing 	 384 	 38498.684807 	 104.489796 
sing 	 385 	 38597.369615 	 98.684807 
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sing 	 393 	 39404.263039 	 110.294785 
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sing 	 395 	 39595.827664 	 98.684807 
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sing 	 400 	 40095.056689 	 92.879819 
sing 	 401 	 40193.741497 	 98.684807 
sing 	 402 	 40298.231293 	 104.489796 
sing 	 403 	 40396.916100 	 98.684807 
sing 	 404 	 40495.600907 	 98.684807 
sing 	 405 	 40594.285714 	 98.684807 
sing 	 406 	 40698.775510 	 104.489796 
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sing 	 408 	 40896.145125 	 97.233560 
sing 	 409 	 40994.829932 	 98.684807 
sing 	 410 	 41099.319728 	 104.489796 
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sing 	 415 	 41598.548753 	 104.489796 
sing 	 416 	 41697.233560 	 98.684807 
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sing 	 419 	 42004.897959 	 110.294785 
sing 	 420 	 42097.777778 	 92.879819 
sing 	 421 	 42196.462585 	 98.684807 
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sing 	 424 	 42498.321995 	 104.489796 
sing 	 425 	 42602.811791 	 104.489796 
sing 	 426 	 42695.691610 	 92.879819 
sing 	 427 	 42794.376417 	 98.684807 
sing 	 428 	 42898.866213 	 104.489796 
sing 	 429 	 42997.551020 	 98.684807 
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sing 	 431 	 43194.920635 	 92.879819 
sing 	 432 	 43299.410431 	 104.489796 
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sing 	 435 	 43601.269841 	 104.489796 
sing 	 436 	 43694.149660 	 92.879819 
sing 	 437 	 43799.047619 	 104.897959 
sing 	 438 	 43897.324263 	 98.276644 
sing 	 439 	 43996.009070 	 98.684807 
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sing 	 441 	 44204.988662 	 110.294785 
sing 	 442 	 44303.673469 	 98.684807 
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sing 	 444 	 44495.238095 	 92.879819 
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sing 	 446 	 44698.412698 	 104.489796 
sing 	 447 	 44797.097506 	 98.684807 
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sing 	 452 	 45296.326531 	 92.879819 
sing 	 453 	 45400.816327 	 104.489796 
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sing 	 457 	 45795.555556 	 98.684807 
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sing 	 459 	 45998.730159 	 104.489796 
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sing 	 461 	 46196.099773 	 92.879819 
sing 	 462 	 46294.784580 	 98.684807 
sing 	 463 	 46399.274376 	 104.489796 
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sing 	 465 	 46602.448980 	 104.489796 
sing 	 466 	 46695.328798 	 92.879819 
sing 	 467 	 46794.013605 	 98.684807 
sing 	 468 	 46901.768707 	 107.755102 
sing 	 469 	 46997.188209 	 95.419501 
sing 	 470 	 47095.873016 	 98.684807 
sing 	 471 	 47194.557823 	 98.684807 
sing 	 472 	 47299.047619 	 104.489796 
sing 	 473 	 47397.732426 	 98.684807 
sing 	 474 	 47496.417234 	 98.684807 
sing 	 475 	 47595.102041 	 98.684807 
sing 	 476 	 47693.786848 	 98.684807 
sing 	 477 	 47798.276644 	 104.489796 
sing 	 478 	 47896.961451 	 98.684807 
sing 	 479 	 47995.646259 	 98.684807 
sing 	 480 	 48100.136054 	 104.489796 
sing 	 481 	 48198.820862 	 98.684807 
sing 	 482 	 48297.505669 	 98.684807 
sing 	 483 	 48396.190476 	 98.684807 
sing 	 484 	 48494.875283 	 98.684807 
sing 	 485 	 48610.975057 	 116.099773 
sing 	 486 	 48703.854875 	 92.879819 
sing 	 487 	 48796.734694 	 92.879819 
sing 	 488 	 48895.419501 	 98.684807 
sing 	 489 	 48994.104308 	 98.684807 
sing 	 490 	 49098.594104 	 104.489796 
sing 	 491 	 49197.278912 	 98.684807 
sing 	 492 	 49295.963719 	 98.684807 
sing 	 493 	 49400.453515 	 104.489796 
sing 	 494 	 49499.138322 	 98.684807 
sing 	 495 	 49597.823129 	 98.684807 
sing 	 496 	 49696.507937 	 98.684807 
sing 	 497 	 49795.192744 	 98.684807 
sing 	 498 	 49893.877551 	 98.684807 
sing 	 499 	 49998.367347 	 104.489796