Fit intravenous pharmacokinetic data to a two-compartment linear elimination model
Source:R/npd_modelcodes.R
Fit_2cmpt_iv.RdFits intravenous (IV) pharmacokinetic data to a two-compartment model with first-order elimination using the naive pooled data approach. Supports multiple estimation methods provided by nlmixr2 and can optionally return only predicted concentrations to support efficient simulation workflows.
Usage
Fit_2cmpt_iv(
data,
est.method,
input.cl,
input.vc2cmpt,
input.vp2cmpt,
input.q2cmpt,
input.add,
ncores = 2,
return.pred.only = FALSE,
...
)Arguments
- data
A data frame containing IV pharmacokinetic data formatted for nlmixr2,
- est.method
Estimation method to use in nlmixr2. Must be one of:
"rxSolve","nls","nlm","nlminb", or"focei".- input.cl
Initial estimate of clearance (CL).
- input.vc2cmpt
Initial estimate of central volume of distribution (V1).
- input.vp2cmpt
Initial estimate of peripheral volume of distribution (V2).
- input.q2cmpt
Initial estimate of inter-compartmental clearance (Q).
- input.add
Initial estimate of the additive residual error.
- ncores
Number of cores to use for parallelization, passed to
rxControl(). Default is 2.- return.pred.only
Logical; if
TRUE, returns a data frame with only predicted concentrations (cp) for all observations in the input data.- ...
Additional arguments passed to
nlmixr2(), such as a user-definedcontrol = foceiControl(...)or other control settings.
Value
If return.pred.only = TRUE, returns a data.frame
with a single column cp (predicted concentrations).
Otherwise, returns a fitted model object produced by nlmixr2.
Examples
# \donttest{
dat <- Bolus_2CPT
# Run simulation
Fit_2cmpt_iv(
data = dat,
est.method = "rxSolve",
input.cl = 4,
input.vc2cmpt = 70,
input.vp2cmpt = 40,
input.q2cmpt = 4,
input.add = 10
)
#> ── Solved rxode2 object ──
#> ── Parameters (value$params): ──
#> # A tibble: 120 × 6
#> id tcl tv1 tv2 tq add.err
#> <fct> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 1 1.39 4.25 3.69 1.39 10
#> 2 2 1.39 4.25 3.69 1.39 10
#> 3 3 1.39 4.25 3.69 1.39 10
#> 4 4 1.39 4.25 3.69 1.39 10
#> 5 5 1.39 4.25 3.69 1.39 10
#> 6 6 1.39 4.25 3.69 1.39 10
#> 7 7 1.39 4.25 3.69 1.39 10
#> 8 8 1.39 4.25 3.69 1.39 10
#> 9 9 1.39 4.25 3.69 1.39 10
#> 10 10 1.39 4.25 3.69 1.39 10
#> # ℹ 110 more rows
#> ── Initial Conditions (value$inits): ──
#> centre A2
#> 0 0
#> ── First part of data (object): ──
#> # A tibble: 6,960 × 14
#> id time cl v1 v2 q k k12 k21 cp ipredSim sim
#> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 1 0.25 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1664. 1664. 1670.
#> 2 1 0.5 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1618. 1618. 1606.
#> 3 1 0.75 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1573. 1573. 1548.
#> 4 1 1 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1531. 1531. 1531.
#> 5 1 1.5 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1451. 1451. 1439.
#> 6 1 2 4.01 70.1 40.0 4.01 0.0573 0.0573 0.100 1377. 1377. 1359.
#> # ℹ 6,954 more rows
#> # ℹ 2 more variables: centre <dbl>, A2 <dbl>
# Return only predicted concentrations
Fit_2cmpt_iv(
data = dat,
est.method = "rxSolve",
input.cl = 4,
input.vc2cmpt = 70,
input.vp2cmpt = 40,
input.q2cmpt = 4,
input.add = 0,
return.pred.only = TRUE
)
#> cp
#> 1 1663.688281
#> 2 1617.597839
#> 3 1573.351975
#> 4 1530.869708
#> 5 1450.889977
#> 6 1377.080267
#> 7 1308.912715
#> 8 1245.905537
#> 9 1133.651721
#> 10 954.109546
#> 11 819.488565
#> 12 636.305336
#> 13 519.799381
#> 14 438.659135
#> 15 377.460308
#> 16 252.707310
#> 17 172.873177
#> 18 118.678195
#> 19 81.545068
#> 20 416.078633
#> 21 568.684575
#> 22 640.639336
#> 23 2298.690770
#> 24 2247.244026
#> 25 2197.700498
#> 26 2149.979471
#> 27 2059.693765
#> 28 1975.798759
#> 29 1897.758128
#> 30 1825.082062
#> 31 1694.072210
#> 32 1479.165499
#> 33 1311.744561
#> 34 1069.578445
#> 35 901.586943
#> 36 775.286015
#> 37 674.596399
#> 38 690.621596
#> 39 698.184356
#> 40 2362.473314
#> 41 2310.529614
#> 42 2260.493028
#> 43 2212.282723
#> 44 2121.029889
#> 45 2036.182781
#> 46 1957.204740
#> 47 1883.605876
#> 48 1750.793314
#> 49 1532.445914
#> 50 1361.792817
#> 51 1113.739008
#> 52 940.552437
#> 53 809.667613
#> 54 704.704673
#> 55 477.432871
#> 56 327.244049
#> 57 224.725495
#> 58 154.370833
#> 59 138.640690
#> 60 134.799820
#> 61 131.112665
#> 62 127.572476
#> 63 120.907498
#> 64 114.756690
#> 65 109.076060
#> 66 103.825462
#> 67 94.470976
#> 68 79.509129
#> 69 68.290715
#> 70 53.025444
#> 71 43.316614
#> 72 36.554927
#> 73 31.455025
#> 74 21.058942
#> 75 14.406098
#> 76 9.889850
#> 77 6.795422
#> 78 34.673219
#> 79 47.390381
#> 80 53.386611
#> 81 191.557564
#> 82 187.270336
#> 83 183.141708
#> 84 179.164956
#> 85 171.641147
#> 86 164.649897
#> 87 158.146511
#> 88 152.090172
#> 89 141.172684
#> 90 123.263792
#> 91 109.312047
#> 92 89.131537
#> 93 75.132245
#> 94 64.607168
#> 95 56.216367
#> 96 57.551800
#> 97 58.182030
#> 98 196.872776
#> 99 192.544135
#> 100 188.374419
#> 101 184.356894
#> 102 176.752491
#> 103 169.681898
#> 104 163.100395
#> 105 156.967156
#> 106 145.899443
#> 107 127.703826
#> 108 113.482735
#> 109 92.811584
#> 110 78.379370
#> 111 67.472301
#> 112 58.725389
#> 113 39.786073
#> 114 27.270337
#> 115 18.727125
#> 116 12.864236
#> 117 1663.688281
#> 118 1617.597839
#> 119 1573.351975
#> 120 1530.869708
#> 121 1450.889977
#> 122 1377.080267
#> 123 1308.912715
#> 124 1245.905537
#> 125 1133.651721
#> 126 954.109546
#> 127 819.488565
#> 128 636.305336
#> 129 519.799381
#> 130 438.659135
#> 131 377.460308
#> 132 252.707310
#> 133 172.873177
#> 134 118.678195
#> 135 81.545068
#> 136 416.078633
#> 137 568.684575
#> 138 640.639336
#> 139 2298.690770
#> 140 2247.244026
#> 141 2197.700498
#> 142 2149.979471
#> 143 2059.693765
#> 144 1975.798759
#> 145 1897.758128
#> 146 1825.082062
#> 147 1694.072210
#> 148 1479.165499
#> 149 1311.744561
#> 150 1069.578445
#> 151 901.586943
#> 152 775.286015
#> 153 674.596399
#> 154 690.621596
#> 155 698.184356
#> 156 2362.473314
#> 157 2310.529614
#> 158 2260.493028
#> 159 2212.282723
#> 160 2121.029889
#> 161 2036.182781
#> 162 1957.204740
#> 163 1883.605876
#> 164 1750.793314
#> 165 1532.445914
#> 166 1361.792817
#> 167 1113.739008
#> 168 940.552437
#> 169 809.667613
#> 170 704.704673
#> 171 477.432871
#> 172 327.244049
#> 173 224.725495
#> 174 154.370833
#> 175 138.640690
#> 176 134.799820
#> 177 131.112665
#> 178 127.572476
#> 179 120.907498
#> 180 114.756690
#> 181 109.076060
#> 182 103.825462
#> 183 94.470976
#> 184 79.509129
#> 185 68.290715
#> 186 53.025444
#> 187 43.316614
#> 188 36.554927
#> 189 31.455025
#> 190 21.058942
#> 191 14.406098
#> 192 9.889850
#> 193 6.795422
#> 194 34.673219
#> 195 47.390381
#> 196 53.386611
#> 197 191.557564
#> 198 187.270336
#> 199 183.141708
#> 200 179.164956
#> 201 171.641147
#> 202 164.649897
#> 203 158.146511
#> 204 152.090172
#> 205 141.172684
#> 206 123.263792
#> 207 109.312047
#> 208 89.131537
#> 209 75.132245
#> 210 64.607168
#> 211 56.216367
#> 212 57.551800
#> 213 58.182030
#> 214 196.872776
#> 215 192.544135
#> 216 188.374419
#> 217 184.356894
#> 218 176.752491
#> 219 169.681898
#> 220 163.100395
#> 221 156.967156
#> 222 145.899443
#> 223 127.703826
#> 224 113.482735
#> 225 92.811584
#> 226 78.379370
#> 227 67.472301
#> 228 58.725389
#> 229 39.786073
#> 230 27.270337
#> 231 18.727125
#> 232 12.864236
#> 233 415.922070
#> 234 404.399460
#> 235 393.337994
#> 236 382.717427
#> 237 362.722492
#> 238 344.270063
#> 239 327.228177
#> 240 311.476387
#> 241 283.412934
#> 242 238.527384
#> 243 204.872180
#> 244 159.076372
#> 245 129.949887
#> 246 109.664802
#> 247 94.365084
#> 248 63.176835
#> 249 43.218294
#> 250 29.669549
#> 251 20.386266
#> 252 104.019658
#> 253 142.171144
#> 254 160.159834
#> 255 574.672692
#> 256 561.811007
#> 257 549.425124
#> 258 537.494868
#> 259 514.923441
#> 260 493.949690
#> 261 474.439532
#> 262 456.270515
#> 263 423.518052
#> 264 369.791375
#> 265 327.936140
#> 266 267.394611
#> 267 225.396736
#> 268 193.821504
#> 269 168.649100
#> 270 172.655399
#> 271 174.546089
#> 272 590.618328
#> 273 577.632404
#> 274 565.123257
#> 275 553.070681
#> 276 530.257472
#> 277 509.045695
#> 278 489.301185
#> 279 470.901469
#> 280 437.698328
#> 281 383.111478
#> 282 340.448204
#> 283 278.434752
#> 284 235.138109
#> 285 202.416903
#> 286 176.176168
#> 287 119.358218
#> 288 81.811012
#> 289 56.181374
#> 290 38.592708
#> 291 415.922070
#> 292 404.399460
#> 293 393.337994
#> 294 382.717427
#> 295 362.722492
#> 296 344.270063
#> 297 327.228177
#> 298 311.476387
#> 299 283.412934
#> 300 238.527384
#> 301 204.872180
#> 302 159.076372
#> 303 129.949887
#> 304 109.664802
#> 305 94.365084
#> 306 63.176835
#> 307 43.218294
#> 308 29.669549
#> 309 20.386266
#> 310 104.019658
#> 311 142.171144
#> 312 160.159834
#> 313 574.672692
#> 314 561.811007
#> 315 549.425124
#> 316 537.494868
#> 317 514.923441
#> 318 493.949690
#> 319 474.439532
#> 320 456.270515
#> 321 423.518052
#> 322 369.791375
#> 323 327.936140
#> 324 267.394611
#> 325 225.396736
#> 326 193.821504
#> 327 168.649100
#> 328 172.655399
#> 329 174.546089
#> 330 590.618328
#> 331 577.632404
#> 332 565.123257
#> 333 553.070681
#> 334 530.257472
#> 335 509.045695
#> 336 489.301185
#> 337 470.901469
#> 338 437.698328
#> 339 383.111478
#> 340 340.448204
#> 341 278.434752
#> 342 235.138109
#> 343 202.416903
#> 344 176.176168
#> 345 119.358218
#> 346 81.811012
#> 347 56.181374
#> 348 38.592708
#> 349 831.844140
#> 350 808.798919
#> 351 786.675988
#> 352 765.434854
#> 353 725.444984
#> 354 688.540129
#> 355 654.456375
#> 356 622.952798
#> 357 566.825860
#> 358 477.054761
#> 359 409.744317
#> 360 318.152660
#> 361 259.899704
#> 362 219.329569
#> 363 188.730155
#> 364 126.353668
#> 365 86.436587
#> 366 59.339099
#> 367 40.772532
#> 368 208.039315
#> 369 284.342287
#> 370 320.319668
#> 371 1149.345385
#> 372 1123.622013
#> 373 1098.850249
#> 374 1074.989735
#> 375 1029.846882
#> 376 987.899379
#> 377 948.879064
#> 378 912.541031
#> 379 847.036104
#> 380 739.582749
#> 381 655.872280
#> 382 534.789222
#> 383 450.793471
#> 384 387.643007
#> 385 337.298199
#> 386 345.310798
#> 387 349.092178
#> 388 1181.236657
#> 389 1155.264807
#> 390 1130.246514
#> 391 1106.141362
#> 392 1060.514944
#> 393 1018.091390
#> 394 978.602370
#> 395 941.802938
#> 396 875.396657
#> 397 766.222957
#> 398 680.896408
#> 399 556.869504
#> 400 470.276218
#> 401 404.833807
#> 402 352.352336
#> 403 238.716436
#> 404 163.622025
#> 405 112.362748
#> 406 77.185417
#> 407 831.844140
#> 408 808.798919
#> 409 786.675988
#> 410 765.434854
#> 411 725.444984
#> 412 688.540129
#> 413 654.456375
#> 414 622.952798
#> 415 566.825860
#> 416 477.054761
#> 417 409.744317
#> 418 318.152660
#> 419 259.899704
#> 420 219.329569
#> 421 188.730155
#> 422 126.353668
#> 423 86.436587
#> 424 59.339099
#> 425 40.772532
#> 426 208.039315
#> 427 284.342287
#> 428 320.319668
#> 429 1149.345385
#> 430 1123.622013
#> 431 1098.850249
#> 432 1074.989735
#> 433 1029.846882
#> 434 987.899379
#> 435 948.879064
#> 436 912.541031
#> 437 847.036104
#> 438 739.582749
#> 439 655.872280
#> 440 534.789222
#> 441 450.793471
#> 442 387.643007
#> 443 337.298199
#> 444 345.310798
#> 445 349.092178
#> 446 1181.236657
#> 447 1155.264807
#> 448 1130.246514
#> 449 1106.141362
#> 450 1060.514944
#> 451 1018.091390
#> 452 978.602370
#> 453 941.802938
#> 454 875.396657
#> 455 766.222957
#> 456 680.896408
#> 457 556.869504
#> 458 470.276218
#> 459 404.833807
#> 460 352.352336
#> 461 238.716436
#> 462 163.622025
#> 463 112.362748
#> 464 77.185417
#> 465 138.640690
#> 466 134.799820
#> 467 131.112665
#> 468 127.572476
#> 469 120.907498
#> 470 114.756690
#> 471 109.076060
#> 472 103.825462
#> 473 94.470976
#> 474 79.509129
#> 475 68.290715
#> 476 53.025444
#> 477 43.316614
#> 478 36.554927
#> 479 31.455025
#> 480 21.058942
#> 481 14.406098
#> 482 9.889850
#> 483 6.795422
#> 484 34.673219
#> 485 47.390381
#> 486 53.386611
#> 487 191.557564
#> 488 187.270336
#> 489 183.141708
#> 490 179.164956
#> 491 171.641147
#> 492 164.649897
#> 493 158.146511
#> 494 152.090172
#> 495 141.172684
#> 496 123.263792
#> 497 109.312047
#> 498 89.131537
#> 499 75.132245
#> 500 64.607168
#> 501 56.216367
#> 502 57.551800
#> 503 58.182030
#> 504 196.872776
#> 505 192.544135
#> 506 188.374419
#> 507 184.356894
#> 508 176.752491
#> 509 169.681898
#> 510 163.100395
#> 511 156.967156
#> 512 145.899443
#> 513 127.703826
#> 514 113.482735
#> 515 92.811584
#> 516 78.379370
#> 517 67.472301
#> 518 58.725389
#> 519 39.786073
#> 520 27.270337
#> 521 18.727125
#> 522 12.864236
#> 523 138.640690
#> 524 134.799820
#> 525 131.112665
#> 526 127.572476
#> 527 120.907498
#> 528 114.756690
#> 529 109.076060
#> 530 103.825462
#> 531 94.470976
#> 532 79.509129
#> 533 68.290715
#> 534 53.025444
#> 535 43.316614
#> 536 36.554927
#> 537 31.455025
#> 538 21.058942
#> 539 14.406098
#> 540 9.889850
#> 541 6.795422
#> 542 34.673219
#> 543 47.390381
#> 544 53.386611
#> 545 191.557564
#> 546 187.270336
#> 547 183.141708
#> 548 179.164956
#> 549 171.641147
#> 550 164.649897
#> 551 158.146511
#> 552 152.090172
#> 553 141.172684
#> 554 123.263792
#> 555 109.312047
#> 556 89.131537
#> 557 75.132245
#> 558 64.607168
#> 559 56.216367
#> 560 57.551800
#> 561 58.182030
#> 562 196.872776
#> 563 192.544135
#> 564 188.374419
#> 565 184.356894
#> 566 176.752491
#> 567 169.681898
#> 568 163.100395
#> 569 156.967156
#> 570 145.899443
#> 571 127.703826
#> 572 113.482735
#> 573 92.811584
#> 574 78.379370
#> 575 67.472301
#> 576 58.725389
#> 577 39.786073
#> 578 27.270337
#> 579 18.727125
#> 580 12.864236
#> 581 415.922070
#> 582 404.399460
#> 583 393.337994
#> 584 382.717427
#> 585 362.722492
#> 586 344.270063
#> 587 327.228177
#> 588 311.476387
#> 589 283.412934
#> 590 238.527384
#> 591 204.872180
#> 592 159.076372
#> 593 129.949887
#> 594 109.664802
#> 595 94.365084
#> 596 63.176835
#> 597 43.218294
#> 598 29.669549
#> 599 20.386266
#> 600 104.019658
#> 601 142.171144
#> 602 160.159834
#> 603 574.672692
#> 604 561.811007
#> 605 549.425124
#> 606 537.494868
#> 607 514.923441
#> 608 493.949690
#> 609 474.439532
#> 610 456.270515
#> 611 423.518052
#> 612 369.791375
#> 613 327.936140
#> 614 267.394611
#> 615 225.396736
#> 616 193.821504
#> 617 168.649100
#> 618 172.655399
#> 619 174.546089
#> 620 590.618328
#> 621 577.632404
#> 622 565.123257
#> 623 553.070681
#> 624 530.257472
#> 625 509.045695
#> 626 489.301185
#> 627 470.901469
#> 628 437.698328
#> 629 383.111478
#> 630 340.448204
#> 631 278.434752
#> 632 235.138109
#> 633 202.416903
#> 634 176.176168
#> 635 119.358218
#> 636 81.811012
#> 637 56.181374
#> 638 38.592708
#> 639 831.844140
#> 640 808.798919
#> 641 786.675988
#> 642 765.434854
#> 643 725.444984
#> 644 688.540129
#> 645 654.456375
#> 646 622.952798
#> 647 566.825860
#> 648 477.054761
#> 649 409.744317
#> 650 318.152660
#> 651 259.899704
#> 652 219.329569
#> 653 188.730155
#> 654 126.353668
#> 655 86.436587
#> 656 59.339099
#> 657 40.772532
#> 658 208.039315
#> 659 284.342287
#> 660 320.319668
#> 661 1149.345385
#> 662 1123.622013
#> 663 1098.850249
#> 664 1074.989735
#> 665 1029.846882
#> 666 987.899379
#> 667 948.879064
#> 668 912.541031
#> 669 847.036104
#> 670 739.582749
#> 671 655.872280
#> 672 534.789222
#> 673 450.793471
#> 674 387.643007
#> 675 337.298199
#> 676 345.310798
#> 677 349.092178
#> 678 1181.236657
#> 679 1155.264807
#> 680 1130.246514
#> 681 1106.141362
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#> 944 63.176835
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#> 958 456.270515
#> 959 423.518052
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#> 1416 2247.244026
#> 1417 2197.700498
#> 1418 2149.979471
#> 1419 2059.693765
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#> 1421 1897.758128
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#> 1424 1479.165499
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#> 1498 437.698328
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#> 1500 340.448204
#> 1501 278.434752
#> 1502 235.138109
#> 1503 202.416903
#> 1504 176.176168
#> 1505 119.358218
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#> 1507 56.181374
#> 1508 38.592708
#> 1509 415.922070
#> 1510 404.399460
#> 1511 393.337994
#> 1512 382.717427
#> 1513 362.722492
#> 1514 344.270063
#> 1515 327.228177
#> 1516 311.476387
#> 1517 283.412934
#> 1518 238.527384
#> 1519 204.872180
#> 1520 159.076372
#> 1521 129.949887
#> 1522 109.664802
#> 1523 94.365084
#> 1524 63.176835
#> 1525 43.218294
#> 1526 29.669549
#> 1527 20.386266
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#> 1529 142.171144
#> 1530 160.159834
#> 1531 574.672692
#> 1532 561.811007
#> 1533 549.425124
#> 1534 537.494868
#> 1535 514.923441
#> 1536 493.949690
#> 1537 474.439532
#> 1538 456.270515
#> 1539 423.518052
#> 1540 369.791375
#> 1541 327.936140
#> 1542 267.394611
#> 1543 225.396736
#> 1544 193.821504
#> 1545 168.649100
#> 1546 172.655399
#> 1547 174.546089
#> 1548 590.618328
#> 1549 577.632404
#> 1550 565.123257
#> 1551 553.070681
#> 1552 530.257472
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#> 1554 489.301185
#> 1555 470.901469
#> 1556 437.698328
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#> 1578 53.025444
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#> 1581 31.455025
#> 1582 21.058942
#> 1583 14.406098
#> 1584 9.889850
#> 1585 6.795422
#> 1586 34.673219
#> 1587 47.390381
#> 1588 53.386611
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#> 1590 187.270336
#> 1591 183.141708
#> 1592 179.164956
#> 1593 171.641147
#> 1594 164.649897
#> 1595 158.146511
#> 1596 152.090172
#> 1597 141.172684
#> 1598 123.263792
#> 1599 109.312047
#> 1600 89.131537
#> 1601 75.132245
#> 1602 64.607168
#> 1603 56.216367
#> 1604 57.551800
#> 1605 58.182030
#> 1606 196.872776
#> 1607 192.544135
#> 1608 188.374419
#> 1609 184.356894
#> 1610 176.752491
#> 1611 169.681898
#> 1612 163.100395
#> 1613 156.967156
#> 1614 145.899443
#> 1615 127.703826
#> 1616 113.482735
#> 1617 92.811584
#> 1618 78.379370
#> 1619 67.472301
#> 1620 58.725389
#> 1621 39.786073
#> 1622 27.270337
#> 1623 18.727125
#> 1624 12.864236
#> 1625 1663.688281
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#> 1627 1573.351975
#> 1628 1530.869708
#> 1629 1450.889977
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#> 1635 819.488565
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#> 1639 377.460308
#> 1640 252.707310
#> 1641 172.873177
#> 1642 118.678195
#> 1643 81.545068
#> 1644 416.078633
#> 1645 568.684575
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#> 1648 2247.244026
#> 1649 2197.700498
#> 1650 2149.979471
#> 1651 2059.693765
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#> 1653 1897.758128
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#> 1658 1069.578445
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#> 1660 775.286015
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#> 1662 690.621596
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#> 1665 2310.529614
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#> 1668 2121.029889
#> 1669 2036.182781
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#> 1671 1883.605876
#> 1672 1750.793314
#> 1673 1532.445914
#> 1674 1361.792817
#> 1675 1113.739008
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#> 1677 809.667613
#> 1678 704.704673
#> 1679 477.432871
#> 1680 327.244049
#> 1681 224.725495
#> 1682 154.370833
#> 1683 138.640690
#> 1684 134.799820
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#> 1686 127.572476
#> 1687 120.907498
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#> 1690 103.825462
#> 1691 94.470976
#> 1692 79.509129
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#> 1694 53.025444
#> 1695 43.316614
#> 1696 36.554927
#> 1697 31.455025
#> 1698 21.058942
#> 1699 14.406098
#> 1700 9.889850
#> 1701 6.795422
#> 1702 34.673219
#> 1703 47.390381
#> 1704 53.386611
#> 1705 191.557564
#> 1706 187.270336
#> 1707 183.141708
#> 1708 179.164956
#> 1709 171.641147
#> 1710 164.649897
#> 1711 158.146511
#> 1712 152.090172
#> 1713 141.172684
#> 1714 123.263792
#> 1715 109.312047
#> 1716 89.131537
#> 1717 75.132245
#> 1718 64.607168
#> 1719 56.216367
#> 1720 57.551800
#> 1721 58.182030
#> 1722 196.872776
#> 1723 192.544135
#> 1724 188.374419
#> 1725 184.356894
#> 1726 176.752491
#> 1727 169.681898
#> 1728 163.100395
#> 1729 156.967156
#> 1730 145.899443
#> 1731 127.703826
#> 1732 113.482735
#> 1733 92.811584
#> 1734 78.379370
#> 1735 67.472301
#> 1736 58.725389
#> 1737 39.786073
#> 1738 27.270337
#> 1739 18.727125
#> 1740 12.864236
#> 1741 831.844140
#> 1742 808.798919
#> 1743 786.675988
#> 1744 765.434854
#> 1745 725.444984
#> 1746 688.540129
#> 1747 654.456375
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#> 1749 566.825860
#> 1750 477.054761
#> 1751 409.744317
#> 1752 318.152660
#> 1753 259.899704
#> 1754 219.329569
#> 1755 188.730155
#> 1756 126.353668
#> 1757 86.436587
#> 1758 59.339099
#> 1759 40.772532
#> 1760 208.039315
#> 1761 284.342287
#> 1762 320.319668
#> 1763 1149.345385
#> 1764 1123.622013
#> 1765 1098.850249
#> 1766 1074.989735
#> 1767 1029.846882
#> 1768 987.899379
#> 1769 948.879064
#> 1770 912.541031
#> 1771 847.036104
#> 1772 739.582749
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#> 1774 534.789222
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#> 1776 387.643007
#> 1777 337.298199
#> 1778 345.310798
#> 1779 349.092178
#> 1780 1181.236657
#> 1781 1155.264807
#> 1782 1130.246514
#> 1783 1106.141362
#> 1784 1060.514944
#> 1785 1018.091390
#> 1786 978.602370
#> 1787 941.802938
#> 1788 875.396657
#> 1789 766.222957
#> 1790 680.896408
#> 1791 556.869504
#> 1792 470.276218
#> 1793 404.833807
#> 1794 352.352336
#> 1795 238.716436
#> 1796 163.622025
#> 1797 112.362748
#> 1798 77.185417
#> 1799 831.844140
#> 1800 808.798919
#> 1801 786.675988
#> 1802 765.434854
#> 1803 725.444984
#> 1804 688.540129
#> 1805 654.456375
#> 1806 622.952798
#> 1807 566.825860
#> 1808 477.054761
#> 1809 409.744317
#> 1810 318.152660
#> 1811 259.899704
#> 1812 219.329569
#> 1813 188.730155
#> 1814 126.353668
#> 1815 86.436587
#> 1816 59.339099
#> 1817 40.772532
#> 1818 208.039315
#> 1819 284.342287
#> 1820 320.319668
#> 1821 1149.345385
#> 1822 1123.622013
#> 1823 1098.850249
#> 1824 1074.989735
#> 1825 1029.846882
#> 1826 987.899379
#> 1827 948.879064
#> 1828 912.541031
#> 1829 847.036104
#> 1830 739.582749
#> 1831 655.872280
#> 1832 534.789222
#> 1833 450.793471
#> 1834 387.643007
#> 1835 337.298199
#> 1836 345.310798
#> 1837 349.092178
#> 1838 1181.236657
#> 1839 1155.264807
#> 1840 1130.246514
#> 1841 1106.141362
#> 1842 1060.514944
#> 1843 1018.091390
#> 1844 978.602370
#> 1845 941.802938
#> 1846 875.396657
#> 1847 766.222957
#> 1848 680.896408
#> 1849 556.869504
#> 1850 470.276218
#> 1851 404.833807
#> 1852 352.352336
#> 1853 238.716436
#> 1854 163.622025
#> 1855 112.362748
#> 1856 77.185417
#> 1857 415.922070
#> 1858 404.399460
#> 1859 393.337994
#> 1860 382.717427
#> 1861 362.722492
#> 1862 344.270063
#> 1863 327.228177
#> 1864 311.476387
#> 1865 283.412934
#> 1866 238.527384
#> 1867 204.872180
#> 1868 159.076372
#> 1869 129.949887
#> 1870 109.664802
#> 1871 94.365084
#> 1872 63.176835
#> 1873 43.218294
#> 1874 29.669549
#> 1875 20.386266
#> 1876 104.019658
#> 1877 142.171144
#> 1878 160.159834
#> 1879 574.672692
#> 1880 561.811007
#> 1881 549.425124
#> 1882 537.494868
#> 1883 514.923441
#> 1884 493.949690
#> 1885 474.439532
#> 1886 456.270515
#> 1887 423.518052
#> 1888 369.791375
#> 1889 327.936140
#> 1890 267.394611
#> 1891 225.396736
#> 1892 193.821504
#> 1893 168.649100
#> 1894 172.655399
#> 1895 174.546089
#> 1896 590.618328
#> 1897 577.632404
#> 1898 565.123257
#> 1899 553.070681
#> 1900 530.257472
#> 1901 509.045695
#> 1902 489.301185
#> 1903 470.901469
#> 1904 437.698328
#> 1905 383.111478
#> 1906 340.448204
#> 1907 278.434752
#> 1908 235.138109
#> 1909 202.416903
#> 1910 176.176168
#> 1911 119.358218
#> 1912 81.811012
#> 1913 56.181374
#> 1914 38.592708
#> 1915 1663.688281
#> 1916 1617.597839
#> 1917 1573.351975
#> 1918 1530.869708
#> 1919 1450.889977
#> 1920 1377.080267
#> 1921 1308.912715
#> 1922 1245.905537
#> 1923 1133.651721
#> 1924 954.109546
#> 1925 819.488565
#> 1926 636.305336
#> 1927 519.799381
#> 1928 438.659135
#> 1929 377.460308
#> 1930 252.707310
#> 1931 172.873177
#> 1932 118.678195
#> 1933 81.545068
#> 1934 416.078633
#> 1935 568.684575
#> 1936 640.639336
#> 1937 2298.690770
#> 1938 2247.244026
#> 1939 2197.700498
#> 1940 2149.979471
#> 1941 2059.693765
#> 1942 1975.798759
#> 1943 1897.758128
#> 1944 1825.082062
#> 1945 1694.072210
#> 1946 1479.165499
#> 1947 1311.744561
#> 1948 1069.578445
#> 1949 901.586943
#> 1950 775.286015
#> 1951 674.596399
#> 1952 690.621596
#> 1953 698.184356
#> 1954 2362.473314
#> 1955 2310.529614
#> 1956 2260.493028
#> 1957 2212.282723
#> 1958 2121.029889
#> 1959 2036.182781
#> 1960 1957.204740
#> 1961 1883.605876
#> 1962 1750.793314
#> 1963 1532.445914
#> 1964 1361.792817
#> 1965 1113.739008
#> 1966 940.552437
#> 1967 809.667613
#> 1968 704.704673
#> 1969 477.432871
#> 1970 327.244049
#> 1971 224.725495
#> 1972 154.370833
#> 1973 1663.688281
#> 1974 1617.597839
#> 1975 1573.351975
#> 1976 1530.869708
#> 1977 1450.889977
#> 1978 1377.080267
#> 1979 1308.912715
#> 1980 1245.905537
#> 1981 1133.651721
#> 1982 954.109546
#> 1983 819.488565
#> 1984 636.305336
#> 1985 519.799381
#> 1986 438.659135
#> 1987 377.460308
#> 1988 252.707310
#> 1989 172.873177
#> 1990 118.678195
#> 1991 81.545068
#> 1992 416.078633
#> 1993 568.684575
#> 1994 640.639336
#> 1995 2298.690770
#> 1996 2247.244026
#> 1997 2197.700498
#> 1998 2149.979471
#> 1999 2059.693765
#> 2000 1975.798759
#> 2001 1897.758128
#> 2002 1825.082062
#> 2003 1694.072210
#> 2004 1479.165499
#> 2005 1311.744561
#> 2006 1069.578445
#> 2007 901.586943
#> 2008 775.286015
#> 2009 674.596399
#> 2010 690.621596
#> 2011 698.184356
#> 2012 2362.473314
#> 2013 2310.529614
#> 2014 2260.493028
#> 2015 2212.282723
#> 2016 2121.029889
#> 2017 2036.182781
#> 2018 1957.204740
#> 2019 1883.605876
#> 2020 1750.793314
#> 2021 1532.445914
#> 2022 1361.792817
#> 2023 1113.739008
#> 2024 940.552437
#> 2025 809.667613
#> 2026 704.704673
#> 2027 477.432871
#> 2028 327.244049
#> 2029 224.725495
#> 2030 154.370833
#> 2031 831.844140
#> 2032 808.798919
#> 2033 786.675988
#> 2034 765.434854
#> 2035 725.444984
#> 2036 688.540129
#> 2037 654.456375
#> 2038 622.952798
#> 2039 566.825860
#> 2040 477.054761
#> 2041 409.744317
#> 2042 318.152660
#> 2043 259.899704
#> 2044 219.329569
#> 2045 188.730155
#> 2046 126.353668
#> 2047 86.436587
#> 2048 59.339099
#> 2049 40.772532
#> 2050 208.039315
#> 2051 284.342287
#> 2052 320.319668
#> 2053 1149.345385
#> 2054 1123.622013
#> 2055 1098.850249
#> 2056 1074.989735
#> 2057 1029.846882
#> 2058 987.899379
#> 2059 948.879064
#> 2060 912.541031
#> 2061 847.036104
#> 2062 739.582749
#> 2063 655.872280
#> 2064 534.789222
#> 2065 450.793471
#> 2066 387.643007
#> 2067 337.298199
#> 2068 345.310798
#> 2069 349.092178
#> 2070 1181.236657
#> 2071 1155.264807
#> 2072 1130.246514
#> 2073 1106.141362
#> 2074 1060.514944
#> 2075 1018.091390
#> 2076 978.602370
#> 2077 941.802938
#> 2078 875.396657
#> 2079 766.222957
#> 2080 680.896408
#> 2081 556.869504
#> 2082 470.276218
#> 2083 404.833807
#> 2084 352.352336
#> 2085 238.716436
#> 2086 163.622025
#> 2087 112.362748
#> 2088 77.185417
#> 2089 415.922070
#> 2090 404.399460
#> 2091 393.337994
#> 2092 382.717427
#> 2093 362.722492
#> 2094 344.270063
#> 2095 327.228177
#> 2096 311.476387
#> 2097 283.412934
#> 2098 238.527384
#> 2099 204.872180
#> 2100 159.076372
#> 2101 129.949887
#> 2102 109.664802
#> 2103 94.365084
#> 2104 63.176835
#> 2105 43.218294
#> 2106 29.669549
#> 2107 20.386266
#> 2108 104.019658
#> 2109 142.171144
#> 2110 160.159834
#> 2111 574.672692
#> 2112 561.811007
#> 2113 549.425124
#> 2114 537.494868
#> 2115 514.923441
#> 2116 493.949690
#> 2117 474.439532
#> 2118 456.270515
#> 2119 423.518052
#> 2120 369.791375
#> 2121 327.936140
#> 2122 267.394611
#> 2123 225.396736
#> 2124 193.821504
#> 2125 168.649100
#> 2126 172.655399
#> 2127 174.546089
#> 2128 590.618328
#> 2129 577.632404
#> 2130 565.123257
#> 2131 553.070681
#> 2132 530.257472
#> 2133 509.045695
#> 2134 489.301185
#> 2135 470.901469
#> 2136 437.698328
#> 2137 383.111478
#> 2138 340.448204
#> 2139 278.434752
#> 2140 235.138109
#> 2141 202.416903
#> 2142 176.176168
#> 2143 119.358218
#> 2144 81.811012
#> 2145 56.181374
#> 2146 38.592708
#> 2147 138.640690
#> 2148 134.799820
#> 2149 131.112665
#> 2150 127.572476
#> 2151 120.907498
#> 2152 114.756690
#> 2153 109.076060
#> 2154 103.825462
#> 2155 94.470976
#> 2156 79.509129
#> 2157 68.290715
#> 2158 53.025444
#> 2159 43.316614
#> 2160 36.554927
#> 2161 31.455025
#> 2162 21.058942
#> 2163 14.406098
#> 2164 9.889850
#> 2165 6.795422
#> 2166 34.673219
#> 2167 47.390381
#> 2168 53.386611
#> 2169 191.557564
#> 2170 187.270336
#> 2171 183.141708
#> 2172 179.164956
#> 2173 171.641147
#> 2174 164.649897
#> 2175 158.146511
#> 2176 152.090172
#> 2177 141.172684
#> 2178 123.263792
#> 2179 109.312047
#> 2180 89.131537
#> 2181 75.132245
#> 2182 64.607168
#> 2183 56.216367
#> 2184 57.551800
#> 2185 58.182030
#> 2186 196.872776
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#> 2193 156.967156
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#> 2199 67.472301
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#> 2219 31.455025
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#> 2225 47.390381
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#> 2235 141.172684
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#> 2456 34.673219
#> 2457 47.390381
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#> 2505 409.744317
#> 2506 318.152660
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#> 2511 86.436587
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#> 2526 739.582749
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#> 2533 349.092178
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#> 2541 941.802938
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#> 2567 377.460308
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#> 2578 2149.979471
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#> 2599 1883.605876
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#> 2663 67.472301
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#> 2935 901.586943
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#> 3032 21.058942
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#> 3037 47.390381
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#> 3051 75.132245
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#> 3059 184.356894
#> 3060 176.752491
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#> 3063 156.967156
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#> 3066 113.482735
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#> 3089 31.455025
#> 3090 21.058942
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#> 3092 9.889850
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#> 3095 47.390381
#> 3096 53.386611
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#> 3098 187.270336
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#> 3100 179.164956
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#> 3102 164.649897
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#> 3105 141.172684
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#> 3109 75.132245
#> 3110 64.607168
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#> 3117 184.356894
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#> 3120 163.100395
#> 3121 156.967156
#> 3122 145.899443
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#> 3124 113.482735
#> 3125 92.811584
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#> 3127 67.472301
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#> 3143 409.744317
#> 3144 318.152660
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#> 3149 86.436587
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#> 3187 238.716436
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#> 3189 112.362748
#> 3190 77.185417
#> 3191 1663.688281
#> 3192 1617.597839
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#> 3194 1530.869708
#> 3195 1450.889977
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#> 3197 1308.912715
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#> 3199 1133.651721
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#> 3201 819.488565
#> 3202 636.305336
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#> 3204 438.659135
#> 3205 377.460308
#> 3206 252.707310
#> 3207 172.873177
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#> 3209 81.545068
#> 3210 416.078633
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#> 3213 2298.690770
#> 3214 2247.244026
#> 3215 2197.700498
#> 3216 2149.979471
#> 3217 2059.693765
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#> 3219 1897.758128
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#> 3259 819.488565
#> 3260 636.305336
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#> 3263 377.460308
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#> 3271 2298.690770
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#> 3274 2149.979471
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#> 3291 2212.282723
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#> 3295 1883.605876
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#> 3299 1113.739008
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#> 3301 809.667613
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#> 3326 34.673219
#> 3327 47.390381
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#> 3337 141.172684
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#> 3679 1098.850249
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#> 4420 53.025444
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#> 4429 47.390381
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#> 4780 2247.244026
#> 4781 2197.700498
#> 4782 2149.979471
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#> 5172 79.509129
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#> 5916 77.185417
#> 5917 415.922070
#> 5918 404.399460
#> 5919 393.337994
#> 5920 382.717427
#> 5921 362.722492
#> 5922 344.270063
#> 5923 327.228177
#> 5924 311.476387
#> 5925 283.412934
#> 5926 238.527384
#> 5927 204.872180
#> 5928 159.076372
#> 5929 129.949887
#> 5930 109.664802
#> 5931 94.365084
#> 5932 63.176835
#> 5933 43.218294
#> 5934 29.669549
#> 5935 20.386266
#> 5936 104.019658
#> 5937 142.171144
#> 5938 160.159834
#> 5939 574.672692
#> 5940 561.811007
#> 5941 549.425124
#> 5942 537.494868
#> 5943 514.923441
#> 5944 493.949690
#> 5945 474.439532
#> 5946 456.270515
#> 5947 423.518052
#> 5948 369.791375
#> 5949 327.936140
#> 5950 267.394611
#> 5951 225.396736
#> 5952 193.821504
#> 5953 168.649100
#> 5954 172.655399
#> 5955 174.546089
#> 5956 590.618328
#> 5957 577.632404
#> 5958 565.123257
#> 5959 553.070681
#> 5960 530.257472
#> 5961 509.045695
#> 5962 489.301185
#> 5963 470.901469
#> 5964 437.698328
#> 5965 383.111478
#> 5966 340.448204
#> 5967 278.434752
#> 5968 235.138109
#> 5969 202.416903
#> 5970 176.176168
#> 5971 119.358218
#> 5972 81.811012
#> 5973 56.181374
#> 5974 38.592708
#> 5975 1663.688281
#> 5976 1617.597839
#> 5977 1573.351975
#> 5978 1530.869708
#> 5979 1450.889977
#> 5980 1377.080267
#> 5981 1308.912715
#> 5982 1245.905537
#> 5983 1133.651721
#> 5984 954.109546
#> 5985 819.488565
#> 5986 636.305336
#> 5987 519.799381
#> 5988 438.659135
#> 5989 377.460308
#> 5990 252.707310
#> 5991 172.873177
#> 5992 118.678195
#> 5993 81.545068
#> 5994 416.078633
#> 5995 568.684575
#> 5996 640.639336
#> 5997 2298.690770
#> 5998 2247.244026
#> 5999 2197.700498
#> 6000 2149.979471
#> 6001 2059.693765
#> 6002 1975.798759
#> 6003 1897.758128
#> 6004 1825.082062
#> 6005 1694.072210
#> 6006 1479.165499
#> 6007 1311.744561
#> 6008 1069.578445
#> 6009 901.586943
#> 6010 775.286015
#> 6011 674.596399
#> 6012 690.621596
#> 6013 698.184356
#> 6014 2362.473314
#> 6015 2310.529614
#> 6016 2260.493028
#> 6017 2212.282723
#> 6018 2121.029889
#> 6019 2036.182781
#> 6020 1957.204740
#> 6021 1883.605876
#> 6022 1750.793314
#> 6023 1532.445914
#> 6024 1361.792817
#> 6025 1113.739008
#> 6026 940.552437
#> 6027 809.667613
#> 6028 704.704673
#> 6029 477.432871
#> 6030 327.244049
#> 6031 224.725495
#> 6032 154.370833
#> 6033 415.922070
#> 6034 404.399460
#> 6035 393.337994
#> 6036 382.717427
#> 6037 362.722492
#> 6038 344.270063
#> 6039 327.228177
#> 6040 311.476387
#> 6041 283.412934
#> 6042 238.527384
#> 6043 204.872180
#> 6044 159.076372
#> 6045 129.949887
#> 6046 109.664802
#> 6047 94.365084
#> 6048 63.176835
#> 6049 43.218294
#> 6050 29.669549
#> 6051 20.386266
#> 6052 104.019658
#> 6053 142.171144
#> 6054 160.159834
#> 6055 574.672692
#> 6056 561.811007
#> 6057 549.425124
#> 6058 537.494868
#> 6059 514.923441
#> 6060 493.949690
#> 6061 474.439532
#> 6062 456.270515
#> 6063 423.518052
#> 6064 369.791375
#> 6065 327.936140
#> 6066 267.394611
#> 6067 225.396736
#> 6068 193.821504
#> 6069 168.649100
#> 6070 172.655399
#> 6071 174.546089
#> 6072 590.618328
#> 6073 577.632404
#> 6074 565.123257
#> 6075 553.070681
#> 6076 530.257472
#> 6077 509.045695
#> 6078 489.301185
#> 6079 470.901469
#> 6080 437.698328
#> 6081 383.111478
#> 6082 340.448204
#> 6083 278.434752
#> 6084 235.138109
#> 6085 202.416903
#> 6086 176.176168
#> 6087 119.358218
#> 6088 81.811012
#> 6089 56.181374
#> 6090 38.592708
#> 6091 831.844140
#> 6092 808.798919
#> 6093 786.675988
#> 6094 765.434854
#> 6095 725.444984
#> 6096 688.540129
#> 6097 654.456375
#> 6098 622.952798
#> 6099 566.825860
#> 6100 477.054761
#> 6101 409.744317
#> 6102 318.152660
#> 6103 259.899704
#> 6104 219.329569
#> 6105 188.730155
#> 6106 126.353668
#> 6107 86.436587
#> 6108 59.339099
#> 6109 40.772532
#> 6110 208.039315
#> 6111 284.342287
#> 6112 320.319668
#> 6113 1149.345385
#> 6114 1123.622013
#> 6115 1098.850249
#> 6116 1074.989735
#> 6117 1029.846882
#> 6118 987.899379
#> 6119 948.879064
#> 6120 912.541031
#> 6121 847.036104
#> 6122 739.582749
#> 6123 655.872280
#> 6124 534.789222
#> 6125 450.793471
#> 6126 387.643007
#> 6127 337.298199
#> 6128 345.310798
#> 6129 349.092178
#> 6130 1181.236657
#> 6131 1155.264807
#> 6132 1130.246514
#> 6133 1106.141362
#> 6134 1060.514944
#> 6135 1018.091390
#> 6136 978.602370
#> 6137 941.802938
#> 6138 875.396657
#> 6139 766.222957
#> 6140 680.896408
#> 6141 556.869504
#> 6142 470.276218
#> 6143 404.833807
#> 6144 352.352336
#> 6145 238.716436
#> 6146 163.622025
#> 6147 112.362748
#> 6148 77.185417
#> 6149 138.640690
#> 6150 134.799820
#> 6151 131.112665
#> 6152 127.572476
#> 6153 120.907498
#> 6154 114.756690
#> 6155 109.076060
#> 6156 103.825462
#> 6157 94.470976
#> 6158 79.509129
#> 6159 68.290715
#> 6160 53.025444
#> 6161 43.316614
#> 6162 36.554927
#> 6163 31.455025
#> 6164 21.058942
#> 6165 14.406098
#> 6166 9.889850
#> 6167 6.795422
#> 6168 34.673219
#> 6169 47.390381
#> 6170 53.386611
#> 6171 191.557564
#> 6172 187.270336
#> 6173 183.141708
#> 6174 179.164956
#> 6175 171.641147
#> 6176 164.649897
#> 6177 158.146511
#> 6178 152.090172
#> 6179 141.172684
#> 6180 123.263792
#> 6181 109.312047
#> 6182 89.131537
#> 6183 75.132245
#> 6184 64.607168
#> 6185 56.216367
#> 6186 57.551800
#> 6187 58.182030
#> 6188 196.872776
#> 6189 192.544135
#> 6190 188.374419
#> 6191 184.356894
#> 6192 176.752491
#> 6193 169.681898
#> 6194 163.100395
#> 6195 156.967156
#> 6196 145.899443
#> 6197 127.703826
#> 6198 113.482735
#> 6199 92.811584
#> 6200 78.379370
#> 6201 67.472301
#> 6202 58.725389
#> 6203 39.786073
#> 6204 27.270337
#> 6205 18.727125
#> 6206 12.864236
#> 6207 415.922070
#> 6208 404.399460
#> 6209 393.337994
#> 6210 382.717427
#> 6211 362.722492
#> 6212 344.270063
#> 6213 327.228177
#> 6214 311.476387
#> 6215 283.412934
#> 6216 238.527384
#> 6217 204.872180
#> 6218 159.076372
#> 6219 129.949887
#> 6220 109.664802
#> 6221 94.365084
#> 6222 63.176835
#> 6223 43.218294
#> 6224 29.669549
#> 6225 20.386266
#> 6226 104.019658
#> 6227 142.171144
#> 6228 160.159834
#> 6229 574.672692
#> 6230 561.811007
#> 6231 549.425124
#> 6232 537.494868
#> 6233 514.923441
#> 6234 493.949690
#> 6235 474.439532
#> 6236 456.270515
#> 6237 423.518052
#> 6238 369.791375
#> 6239 327.936140
#> 6240 267.394611
#> 6241 225.396736
#> 6242 193.821504
#> 6243 168.649100
#> 6244 172.655399
#> 6245 174.546089
#> 6246 590.618328
#> 6247 577.632404
#> 6248 565.123257
#> 6249 553.070681
#> 6250 530.257472
#> 6251 509.045695
#> 6252 489.301185
#> 6253 470.901469
#> 6254 437.698328
#> 6255 383.111478
#> 6256 340.448204
#> 6257 278.434752
#> 6258 235.138109
#> 6259 202.416903
#> 6260 176.176168
#> 6261 119.358218
#> 6262 81.811012
#> 6263 56.181374
#> 6264 38.592708
#> 6265 1663.688281
#> 6266 1617.597839
#> 6267 1573.351975
#> 6268 1530.869708
#> 6269 1450.889977
#> 6270 1377.080267
#> 6271 1308.912715
#> 6272 1245.905537
#> 6273 1133.651721
#> 6274 954.109546
#> 6275 819.488565
#> 6276 636.305336
#> 6277 519.799381
#> 6278 438.659135
#> 6279 377.460308
#> 6280 252.707310
#> 6281 172.873177
#> 6282 118.678195
#> 6283 81.545068
#> 6284 416.078633
#> 6285 568.684575
#> 6286 640.639336
#> 6287 2298.690770
#> 6288 2247.244026
#> 6289 2197.700498
#> 6290 2149.979471
#> 6291 2059.693765
#> 6292 1975.798759
#> 6293 1897.758128
#> 6294 1825.082062
#> 6295 1694.072210
#> 6296 1479.165499
#> 6297 1311.744561
#> 6298 1069.578445
#> 6299 901.586943
#> 6300 775.286015
#> 6301 674.596399
#> 6302 690.621596
#> 6303 698.184356
#> 6304 2362.473314
#> 6305 2310.529614
#> 6306 2260.493028
#> 6307 2212.282723
#> 6308 2121.029889
#> 6309 2036.182781
#> 6310 1957.204740
#> 6311 1883.605876
#> 6312 1750.793314
#> 6313 1532.445914
#> 6314 1361.792817
#> 6315 1113.739008
#> 6316 940.552437
#> 6317 809.667613
#> 6318 704.704673
#> 6319 477.432871
#> 6320 327.244049
#> 6321 224.725495
#> 6322 154.370833
#> 6323 138.640690
#> 6324 134.799820
#> 6325 131.112665
#> 6326 127.572476
#> 6327 120.907498
#> 6328 114.756690
#> 6329 109.076060
#> 6330 103.825462
#> 6331 94.470976
#> 6332 79.509129
#> 6333 68.290715
#> 6334 53.025444
#> 6335 43.316614
#> 6336 36.554927
#> 6337 31.455025
#> 6338 21.058942
#> 6339 14.406098
#> 6340 9.889850
#> 6341 6.795422
#> 6342 34.673219
#> 6343 47.390381
#> 6344 53.386611
#> 6345 191.557564
#> 6346 187.270336
#> 6347 183.141708
#> 6348 179.164956
#> 6349 171.641147
#> 6350 164.649897
#> 6351 158.146511
#> 6352 152.090172
#> 6353 141.172684
#> 6354 123.263792
#> 6355 109.312047
#> 6356 89.131537
#> 6357 75.132245
#> 6358 64.607168
#> 6359 56.216367
#> 6360 57.551800
#> 6361 58.182030
#> 6362 196.872776
#> 6363 192.544135
#> 6364 188.374419
#> 6365 184.356894
#> 6366 176.752491
#> 6367 169.681898
#> 6368 163.100395
#> 6369 156.967156
#> 6370 145.899443
#> 6371 127.703826
#> 6372 113.482735
#> 6373 92.811584
#> 6374 78.379370
#> 6375 67.472301
#> 6376 58.725389
#> 6377 39.786073
#> 6378 27.270337
#> 6379 18.727125
#> 6380 12.864236
#> 6381 1663.688281
#> 6382 1617.597839
#> 6383 1573.351975
#> 6384 1530.869708
#> 6385 1450.889977
#> 6386 1377.080267
#> 6387 1308.912715
#> 6388 1245.905537
#> 6389 1133.651721
#> 6390 954.109546
#> 6391 819.488565
#> 6392 636.305336
#> 6393 519.799381
#> 6394 438.659135
#> 6395 377.460308
#> 6396 252.707310
#> 6397 172.873177
#> 6398 118.678195
#> 6399 81.545068
#> 6400 416.078633
#> 6401 568.684575
#> 6402 640.639336
#> 6403 2298.690770
#> 6404 2247.244026
#> 6405 2197.700498
#> 6406 2149.979471
#> 6407 2059.693765
#> 6408 1975.798759
#> 6409 1897.758128
#> 6410 1825.082062
#> 6411 1694.072210
#> 6412 1479.165499
#> 6413 1311.744561
#> 6414 1069.578445
#> 6415 901.586943
#> 6416 775.286015
#> 6417 674.596399
#> 6418 690.621596
#> 6419 698.184356
#> 6420 2362.473314
#> 6421 2310.529614
#> 6422 2260.493028
#> 6423 2212.282723
#> 6424 2121.029889
#> 6425 2036.182781
#> 6426 1957.204740
#> 6427 1883.605876
#> 6428 1750.793314
#> 6429 1532.445914
#> 6430 1361.792817
#> 6431 1113.739008
#> 6432 940.552437
#> 6433 809.667613
#> 6434 704.704673
#> 6435 477.432871
#> 6436 327.244049
#> 6437 224.725495
#> 6438 154.370833
#> 6439 831.844140
#> 6440 808.798919
#> 6441 786.675988
#> 6442 765.434854
#> 6443 725.444984
#> 6444 688.540129
#> 6445 654.456375
#> 6446 622.952798
#> 6447 566.825860
#> 6448 477.054761
#> 6449 409.744317
#> 6450 318.152660
#> 6451 259.899704
#> 6452 219.329569
#> 6453 188.730155
#> 6454 126.353668
#> 6455 86.436587
#> 6456 59.339099
#> 6457 40.772532
#> 6458 208.039315
#> 6459 284.342287
#> 6460 320.319668
#> 6461 1149.345385
#> 6462 1123.622013
#> 6463 1098.850249
#> 6464 1074.989735
#> 6465 1029.846882
#> 6466 987.899379
#> 6467 948.879064
#> 6468 912.541031
#> 6469 847.036104
#> 6470 739.582749
#> 6471 655.872280
#> 6472 534.789222
#> 6473 450.793471
#> 6474 387.643007
#> 6475 337.298199
#> 6476 345.310798
#> 6477 349.092178
#> 6478 1181.236657
#> 6479 1155.264807
#> 6480 1130.246514
#> 6481 1106.141362
#> 6482 1060.514944
#> 6483 1018.091390
#> 6484 978.602370
#> 6485 941.802938
#> 6486 875.396657
#> 6487 766.222957
#> 6488 680.896408
#> 6489 556.869504
#> 6490 470.276218
#> 6491 404.833807
#> 6492 352.352336
#> 6493 238.716436
#> 6494 163.622025
#> 6495 112.362748
#> 6496 77.185417
#> 6497 1663.688281
#> 6498 1617.597839
#> 6499 1573.351975
#> 6500 1530.869708
#> 6501 1450.889977
#> 6502 1377.080267
#> 6503 1308.912715
#> 6504 1245.905537
#> 6505 1133.651721
#> 6506 954.109546
#> 6507 819.488565
#> 6508 636.305336
#> 6509 519.799381
#> 6510 438.659135
#> 6511 377.460308
#> 6512 252.707310
#> 6513 172.873177
#> 6514 118.678195
#> 6515 81.545068
#> 6516 416.078633
#> 6517 568.684575
#> 6518 640.639336
#> 6519 2298.690770
#> 6520 2247.244026
#> 6521 2197.700498
#> 6522 2149.979471
#> 6523 2059.693765
#> 6524 1975.798759
#> 6525 1897.758128
#> 6526 1825.082062
#> 6527 1694.072210
#> 6528 1479.165499
#> 6529 1311.744561
#> 6530 1069.578445
#> 6531 901.586943
#> 6532 775.286015
#> 6533 674.596399
#> 6534 690.621596
#> 6535 698.184356
#> 6536 2362.473314
#> 6537 2310.529614
#> 6538 2260.493028
#> 6539 2212.282723
#> 6540 2121.029889
#> 6541 2036.182781
#> 6542 1957.204740
#> 6543 1883.605876
#> 6544 1750.793314
#> 6545 1532.445914
#> 6546 1361.792817
#> 6547 1113.739008
#> 6548 940.552437
#> 6549 809.667613
#> 6550 704.704673
#> 6551 477.432871
#> 6552 327.244049
#> 6553 224.725495
#> 6554 154.370833
#> 6555 1663.688281
#> 6556 1617.597839
#> 6557 1573.351975
#> 6558 1530.869708
#> 6559 1450.889977
#> 6560 1377.080267
#> 6561 1308.912715
#> 6562 1245.905537
#> 6563 1133.651721
#> 6564 954.109546
#> 6565 819.488565
#> 6566 636.305336
#> 6567 519.799381
#> 6568 438.659135
#> 6569 377.460308
#> 6570 252.707310
#> 6571 172.873177
#> 6572 118.678195
#> 6573 81.545068
#> 6574 416.078633
#> 6575 568.684575
#> 6576 640.639336
#> 6577 2298.690770
#> 6578 2247.244026
#> 6579 2197.700498
#> 6580 2149.979471
#> 6581 2059.693765
#> 6582 1975.798759
#> 6583 1897.758128
#> 6584 1825.082062
#> 6585 1694.072210
#> 6586 1479.165499
#> 6587 1311.744561
#> 6588 1069.578445
#> 6589 901.586943
#> 6590 775.286015
#> 6591 674.596399
#> 6592 690.621596
#> 6593 698.184356
#> 6594 2362.473314
#> 6595 2310.529614
#> 6596 2260.493028
#> 6597 2212.282723
#> 6598 2121.029889
#> 6599 2036.182781
#> 6600 1957.204740
#> 6601 1883.605876
#> 6602 1750.793314
#> 6603 1532.445914
#> 6604 1361.792817
#> 6605 1113.739008
#> 6606 940.552437
#> 6607 809.667613
#> 6608 704.704673
#> 6609 477.432871
#> 6610 327.244049
#> 6611 224.725495
#> 6612 154.370833
#> 6613 415.922070
#> 6614 404.399460
#> 6615 393.337994
#> 6616 382.717427
#> 6617 362.722492
#> 6618 344.270063
#> 6619 327.228177
#> 6620 311.476387
#> 6621 283.412934
#> 6622 238.527384
#> 6623 204.872180
#> 6624 159.076372
#> 6625 129.949887
#> 6626 109.664802
#> 6627 94.365084
#> 6628 63.176835
#> 6629 43.218294
#> 6630 29.669549
#> 6631 20.386266
#> 6632 104.019658
#> 6633 142.171144
#> 6634 160.159834
#> 6635 574.672692
#> 6636 561.811007
#> 6637 549.425124
#> 6638 537.494868
#> 6639 514.923441
#> 6640 493.949690
#> 6641 474.439532
#> 6642 456.270515
#> 6643 423.518052
#> 6644 369.791375
#> 6645 327.936140
#> 6646 267.394611
#> 6647 225.396736
#> 6648 193.821504
#> 6649 168.649100
#> 6650 172.655399
#> 6651 174.546089
#> 6652 590.618328
#> 6653 577.632404
#> 6654 565.123257
#> 6655 553.070681
#> 6656 530.257472
#> 6657 509.045695
#> 6658 489.301185
#> 6659 470.901469
#> 6660 437.698328
#> 6661 383.111478
#> 6662 340.448204
#> 6663 278.434752
#> 6664 235.138109
#> 6665 202.416903
#> 6666 176.176168
#> 6667 119.358218
#> 6668 81.811012
#> 6669 56.181374
#> 6670 38.592708
#> 6671 831.844140
#> 6672 808.798919
#> 6673 786.675988
#> 6674 765.434854
#> 6675 725.444984
#> 6676 688.540129
#> 6677 654.456375
#> 6678 622.952798
#> 6679 566.825860
#> 6680 477.054761
#> 6681 409.744317
#> 6682 318.152660
#> 6683 259.899704
#> 6684 219.329569
#> 6685 188.730155
#> 6686 126.353668
#> 6687 86.436587
#> 6688 59.339099
#> 6689 40.772532
#> 6690 208.039315
#> 6691 284.342287
#> 6692 320.319668
#> 6693 1149.345385
#> 6694 1123.622013
#> 6695 1098.850249
#> 6696 1074.989735
#> 6697 1029.846882
#> 6698 987.899379
#> 6699 948.879064
#> 6700 912.541031
#> 6701 847.036104
#> 6702 739.582749
#> 6703 655.872280
#> 6704 534.789222
#> 6705 450.793471
#> 6706 387.643007
#> 6707 337.298199
#> 6708 345.310798
#> 6709 349.092178
#> 6710 1181.236657
#> 6711 1155.264807
#> 6712 1130.246514
#> 6713 1106.141362
#> 6714 1060.514944
#> 6715 1018.091390
#> 6716 978.602370
#> 6717 941.802938
#> 6718 875.396657
#> 6719 766.222957
#> 6720 680.896408
#> 6721 556.869504
#> 6722 470.276218
#> 6723 404.833807
#> 6724 352.352336
#> 6725 238.716436
#> 6726 163.622025
#> 6727 112.362748
#> 6728 77.185417
#> 6729 831.844140
#> 6730 808.798919
#> 6731 786.675988
#> 6732 765.434854
#> 6733 725.444984
#> 6734 688.540129
#> 6735 654.456375
#> 6736 622.952798
#> 6737 566.825860
#> 6738 477.054761
#> 6739 409.744317
#> 6740 318.152660
#> 6741 259.899704
#> 6742 219.329569
#> 6743 188.730155
#> 6744 126.353668
#> 6745 86.436587
#> 6746 59.339099
#> 6747 40.772532
#> 6748 208.039315
#> 6749 284.342287
#> 6750 320.319668
#> 6751 1149.345385
#> 6752 1123.622013
#> 6753 1098.850249
#> 6754 1074.989735
#> 6755 1029.846882
#> 6756 987.899379
#> 6757 948.879064
#> 6758 912.541031
#> 6759 847.036104
#> 6760 739.582749
#> 6761 655.872280
#> 6762 534.789222
#> 6763 450.793471
#> 6764 387.643007
#> 6765 337.298199
#> 6766 345.310798
#> 6767 349.092178
#> 6768 1181.236657
#> 6769 1155.264807
#> 6770 1130.246514
#> 6771 1106.141362
#> 6772 1060.514944
#> 6773 1018.091390
#> 6774 978.602370
#> 6775 941.802938
#> 6776 875.396657
#> 6777 766.222957
#> 6778 680.896408
#> 6779 556.869504
#> 6780 470.276218
#> 6781 404.833807
#> 6782 352.352336
#> 6783 238.716436
#> 6784 163.622025
#> 6785 112.362748
#> 6786 77.185417
#> 6787 138.640690
#> 6788 134.799820
#> 6789 131.112665
#> 6790 127.572476
#> 6791 120.907498
#> 6792 114.756690
#> 6793 109.076060
#> 6794 103.825462
#> 6795 94.470976
#> 6796 79.509129
#> 6797 68.290715
#> 6798 53.025444
#> 6799 43.316614
#> 6800 36.554927
#> 6801 31.455025
#> 6802 21.058942
#> 6803 14.406098
#> 6804 9.889850
#> 6805 6.795422
#> 6806 34.673219
#> 6807 47.390381
#> 6808 53.386611
#> 6809 191.557564
#> 6810 187.270336
#> 6811 183.141708
#> 6812 179.164956
#> 6813 171.641147
#> 6814 164.649897
#> 6815 158.146511
#> 6816 152.090172
#> 6817 141.172684
#> 6818 123.263792
#> 6819 109.312047
#> 6820 89.131537
#> 6821 75.132245
#> 6822 64.607168
#> 6823 56.216367
#> 6824 57.551800
#> 6825 58.182030
#> 6826 196.872776
#> 6827 192.544135
#> 6828 188.374419
#> 6829 184.356894
#> 6830 176.752491
#> 6831 169.681898
#> 6832 163.100395
#> 6833 156.967156
#> 6834 145.899443
#> 6835 127.703826
#> 6836 113.482735
#> 6837 92.811584
#> 6838 78.379370
#> 6839 67.472301
#> 6840 58.725389
#> 6841 39.786073
#> 6842 27.270337
#> 6843 18.727125
#> 6844 12.864236
#> 6845 415.922070
#> 6846 404.399460
#> 6847 393.337994
#> 6848 382.717427
#> 6849 362.722492
#> 6850 344.270063
#> 6851 327.228177
#> 6852 311.476387
#> 6853 283.412934
#> 6854 238.527384
#> 6855 204.872180
#> 6856 159.076372
#> 6857 129.949887
#> 6858 109.664802
#> 6859 94.365084
#> 6860 63.176835
#> 6861 43.218294
#> 6862 29.669549
#> 6863 20.386266
#> 6864 104.019658
#> 6865 142.171144
#> 6866 160.159834
#> 6867 574.672692
#> 6868 561.811007
#> 6869 549.425124
#> 6870 537.494868
#> 6871 514.923441
#> 6872 493.949690
#> 6873 474.439532
#> 6874 456.270515
#> 6875 423.518052
#> 6876 369.791375
#> 6877 327.936140
#> 6878 267.394611
#> 6879 225.396736
#> 6880 193.821504
#> 6881 168.649100
#> 6882 172.655399
#> 6883 174.546089
#> 6884 590.618328
#> 6885 577.632404
#> 6886 565.123257
#> 6887 553.070681
#> 6888 530.257472
#> 6889 509.045695
#> 6890 489.301185
#> 6891 470.901469
#> 6892 437.698328
#> 6893 383.111478
#> 6894 340.448204
#> 6895 278.434752
#> 6896 235.138109
#> 6897 202.416903
#> 6898 176.176168
#> 6899 119.358218
#> 6900 81.811012
#> 6901 56.181374
#> 6902 38.592708
#> 6903 138.640690
#> 6904 134.799820
#> 6905 131.112665
#> 6906 127.572476
#> 6907 120.907498
#> 6908 114.756690
#> 6909 109.076060
#> 6910 103.825462
#> 6911 94.470976
#> 6912 79.509129
#> 6913 68.290715
#> 6914 53.025444
#> 6915 43.316614
#> 6916 36.554927
#> 6917 31.455025
#> 6918 21.058942
#> 6919 14.406098
#> 6920 9.889850
#> 6921 6.795422
#> 6922 34.673219
#> 6923 47.390381
#> 6924 53.386611
#> 6925 191.557564
#> 6926 187.270336
#> 6927 183.141708
#> 6928 179.164956
#> 6929 171.641147
#> 6930 164.649897
#> 6931 158.146511
#> 6932 152.090172
#> 6933 141.172684
#> 6934 123.263792
#> 6935 109.312047
#> 6936 89.131537
#> 6937 75.132245
#> 6938 64.607168
#> 6939 56.216367
#> 6940 57.551800
#> 6941 58.182030
#> 6942 196.872776
#> 6943 192.544135
#> 6944 188.374419
#> 6945 184.356894
#> 6946 176.752491
#> 6947 169.681898
#> 6948 163.100395
#> 6949 156.967156
#> 6950 145.899443
#> 6951 127.703826
#> 6952 113.482735
#> 6953 92.811584
#> 6954 78.379370
#> 6955 67.472301
#> 6956 58.725389
#> 6957 39.786073
#> 6958 27.270337
#> 6959 18.727125
#> 6960 12.864236
# }