Fit oral pharmacokinetic data to a one-compartment linear elimination model
Source:R/npd_modelcodes.R
Fit_1cmpt_oral.RdFits oral pharmacokinetic data to a one-compartment model with first-order absorption and 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_1cmpt_oral(
data,
est.method,
input.ka,
input.cl,
input.vd,
input.add,
ncores = 2,
return.pred.only = FALSE,
...
)Arguments
- data
A data frame containing oral pharmacokinetic data formatted for nlmixr2,
- est.method
Estimation method to use in nlmixr2. Must be one of:
"rxSolve","nls","nlm","nlminb", or"focei".- input.ka
Initial estimate of the absorption rate constant (ka).
- input.cl
Initial estimate of clearance (CL).
- input.vd
Initial estimate of volume of distribution (V).
- 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 <- Oral_1CPT
# Run simulation
Fit_1cmpt_oral(
data = dat,
est.method = "rxSolve",
input.ka = 1,
input.cl = 4,
input.vd = 70,
input.add = 10
)
#> ── Solved rxode2 object ──
#> ── Parameters (value$params): ──
#> # A tibble: 120 × 5
#> id tka tcl tv add.err
#> <fct> <dbl> <dbl> <dbl> <dbl>
#> 1 1 0 1.39 4.25 10
#> 2 2 0 1.39 4.25 10
#> 3 3 0 1.39 4.25 10
#> 4 4 0 1.39 4.25 10
#> 5 5 0 1.39 4.25 10
#> 6 6 0 1.39 4.25 10
#> 7 7 0 1.39 4.25 10
#> 8 8 0 1.39 4.25 10
#> 9 9 0 1.39 4.25 10
#> 10 10 0 1.39 4.25 10
#> # ℹ 110 more rows
#> ── Initial Conditions (value$inits): ──
#> depot centre
#> 0 0
#> ── First part of data (object): ──
#> # A tibble: 6,960 × 12
#> id evid time ka cl v k cp ipredSim sim depot centre
#> <int> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 1 0 0.25 1 4.01 70.1 0.0573 188. 188. 187. 46728. 13173.
#> 2 1 0 0.5 1 4.01 70.1 0.0573 332. 332. 336. 36392. 23246.
#> 3 1 0 0.75 1 4.01 70.1 0.0573 441. 441. 440. 28342. 30905.
#> 4 1 0 1 1 4.01 70.1 0.0573 523. 523. 524. 22073. 36689.
#> 5 1 0 1.5 1 4.01 70.1 0.0573 631. 631. 645. 13388. 44205.
#> 6 1 0 2 1 4.01 70.1 0.0573 687. 687. 699. 8120. 48144.
#> # ℹ 6,954 more rows
# Return only predicted concentrations
Fit_1cmpt_oral(
data = dat,
est.method = "rxSolve",
input.ka = 1,
input.cl = 4,
input.vd = 70,
input.add = 0,
return.pred.only = TRUE
)
#> cp
#> 1 187.909454
#> 2 331.582335
#> 3 440.841683
#> 4 523.337182
#> 5 630.546678
#> 6 686.733453
#> 7 712.222901
#> 8 719.335977
#> 9 705.353294
#> 10 641.596816
#> 11 573.864467
#> 12 456.613155
#> 13 363.134554
#> 14 288.789680
#> 15 229.665439
#> 16 115.514785
#> 17 58.100404
#> 18 29.222749
#> 19 14.706572
#> 20 233.517452
#> 21 288.871929
#> 22 302.875429
#> 23 486.308034
#> 24 625.739342
#> 25 730.818031
#> 26 809.189859
#> 27 908.330468
#> 28 956.676147
#> 29 974.545727
#> 30 974.253982
#> 31 946.082723
#> 32 856.274189
#> 33 765.309134
#> 34 608.863137
#> 35 484.214223
#> 36 385.080569
#> 37 306.418016
#> 38 307.314214
#> 39 307.540933
#> 40 490.980157
#> 41 630.345055
#> 42 735.358279
#> 43 813.665567
#> 44 912.679835
#> 45 960.902737
#> 46 978.653007
#> 47 978.245320
#> 48 949.851904
#> 49 859.635463
#> 50 768.306646
#> 51 611.246965
#> 52 486.110007
#> 53 386.588227
#> 54 307.441578
#> 55 154.633802
#> 56 77.776097
#> 57 39.119005
#> 58 19.675644
#> 59 31.318243
#> 60 55.263721
#> 61 73.473612
#> 62 87.222870
#> 63 105.091116
#> 64 114.455575
#> 65 118.703817
#> 66 119.889329
#> 67 117.558882
#> 68 106.932803
#> 69 95.644078
#> 70 76.102193
#> 71 60.522426
#> 72 48.131613
#> 73 38.277573
#> 74 19.252460
#> 75 9.683400
#> 76 4.870456
#> 77 2.451099
#> 78 38.919576
#> 79 48.145322
#> 80 50.479238
#> 81 81.051339
#> 82 104.289890
#> 83 121.803005
#> 84 134.864976
#> 85 151.388411
#> 86 159.446025
#> 87 162.424288
#> 88 162.375664
#> 89 157.680454
#> 90 142.712365
#> 91 127.551522
#> 92 101.477190
#> 93 80.702370
#> 94 64.180095
#> 95 51.069669
#> 96 51.219036
#> 97 51.256822
#> 98 81.830026
#> 99 105.057509
#> 100 122.559713
#> 101 135.610928
#> 102 152.113306
#> 103 160.150456
#> 104 163.108834
#> 105 163.040887
#> 106 158.308651
#> 107 143.272577
#> 108 128.051108
#> 109 101.874494
#> 110 81.018334
#> 111 64.431371
#> 112 51.240263
#> 113 25.772298
#> 114 12.962681
#> 115 6.519835
#> 116 3.279284
#> 117 31.318243
#> 118 55.263721
#> 119 73.473612
#> 120 87.222870
#> 121 105.091116
#> 122 114.455575
#> 123 118.703817
#> 124 119.889329
#> 125 117.558882
#> 126 106.932803
#> 127 95.644078
#> 128 76.102193
#> 129 60.522426
#> 130 48.131613
#> 131 38.277573
#> 132 19.252460
#> 133 9.683400
#> 134 4.870456
#> 135 2.451091
#> 136 38.919574
#> 137 48.145321
#> 138 50.479238
#> 139 81.051339
#> 140 104.289890
#> 141 121.803005
#> 142 134.864976
#> 143 151.388411
#> 144 159.446024
#> 145 162.424288
#> 146 162.375664
#> 147 157.680454
#> 148 142.712365
#> 149 127.551522
#> 150 101.477189
#> 151 80.702370
#> 152 64.180095
#> 153 51.069669
#> 154 51.219036
#> 155 51.256822
#> 156 81.830026
#> 157 105.057509
#> 158 122.559713
#> 159 135.610928
#> 160 152.113306
#> 161 160.150456
#> 162 163.108834
#> 163 163.040887
#> 164 158.308651
#> 165 143.272577
#> 166 128.051108
#> 167 101.874494
#> 168 81.018334
#> 169 64.431371
#> 170 51.240263
#> 171 25.772298
#> 172 12.962681
#> 173 6.519835
#> 174 3.279274
#> 175 375.818919
#> 176 663.164653
#> 177 881.683366
#> 178 1046.674370
#> 179 1261.093082
#> 180 1373.466613
#> 181 1424.445564
#> 182 1438.671761
#> 183 1410.706485
#> 184 1283.193611
#> 185 1147.728930
#> 186 913.226310
#> 187 726.269108
#> 188 577.579360
#> 189 459.330878
#> 190 231.029519
#> 191 116.200824
#> 192 58.445428
#> 193 29.413101
#> 194 467.034893
#> 195 577.743856
#> 196 605.750858
#> 197 972.616067
#> 198 1251.478684
#> 199 1461.636061
#> 200 1618.379717
#> 201 1816.660936
#> 202 1913.352294
#> 203 1949.091453
#> 204 1948.507964
#> 205 1892.165445
#> 206 1712.548377
#> 207 1530.618268
#> 208 1217.726274
#> 209 968.428445
#> 210 770.161138
#> 211 612.836031
#> 212 614.628429
#> 213 615.081867
#> 214 981.960314
#> 215 1260.690109
#> 216 1470.716559
#> 217 1627.331135
#> 218 1825.359669
#> 219 1921.805474
#> 220 1957.306013
#> 221 1956.490640
#> 222 1899.703807
#> 223 1719.270926
#> 224 1536.613293
#> 225 1222.493930
#> 226 972.220014
#> 227 773.176454
#> 228 614.883155
#> 229 309.267628
#> 230 155.552206
#> 231 78.238009
#> 232 39.351289
#> 233 187.909454
#> 234 331.582335
#> 235 440.841683
#> 236 523.337182
#> 237 630.546678
#> 238 686.733453
#> 239 712.222901
#> 240 719.335977
#> 241 705.353294
#> 242 641.596816
#> 243 573.864467
#> 244 456.613155
#> 245 363.134554
#> 246 288.789680
#> 247 229.665439
#> 248 115.514785
#> 249 58.100404
#> 250 29.222749
#> 251 14.706572
#> 252 233.517452
#> 253 288.871929
#> 254 302.875429
#> 255 486.308034
#> 256 625.739342
#> 257 730.818031
#> 258 809.189859
#> 259 908.330468
#> 260 956.676147
#> 261 974.545727
#> 262 974.253982
#> 263 946.082723
#> 264 856.274189
#> 265 765.309134
#> 266 608.863137
#> 267 484.214223
#> 268 385.080569
#> 269 306.418016
#> 270 307.314214
#> 271 307.540933
#> 272 490.980157
#> 273 630.345055
#> 274 735.358279
#> 275 813.665567
#> 276 912.679835
#> 277 960.902737
#> 278 978.653007
#> 279 978.245320
#> 280 949.851904
#> 281 859.635463
#> 282 768.306646
#> 283 611.246965
#> 284 486.110007
#> 285 386.588227
#> 286 307.441578
#> 287 154.633802
#> 288 77.776097
#> 289 39.119005
#> 290 19.675644
#> 291 93.954729
#> 292 165.791161
#> 293 220.420849
#> 294 261.668599
#> 295 315.273327
#> 296 343.366720
#> 297 356.111447
#> 298 359.667986
#> 299 352.676646
#> 300 320.798408
#> 301 286.932234
#> 302 228.306578
#> 303 181.567277
#> 304 144.394840
#> 305 114.832720
#> 306 57.757344
#> 307 29.050204
#> 308 14.611368
#> 309 7.353273
#> 310 116.758723
#> 311 144.435964
#> 312 151.437714
#> 313 243.154017
#> 314 312.869671
#> 315 365.409015
#> 316 404.594929
#> 317 454.165234
#> 318 478.338073
#> 319 487.272863
#> 320 487.126991
#> 321 473.041361
#> 322 428.137094
#> 323 382.654567
#> 324 304.431568
#> 325 242.107111
#> 326 192.540284
#> 327 153.209008
#> 328 153.657107
#> 329 153.770467
#> 330 245.490079
#> 331 315.172527
#> 332 367.679140
#> 333 406.832784
#> 334 456.339917
#> 335 480.451368
#> 336 489.326503
#> 337 489.122660
#> 338 474.925952
#> 339 429.817732
#> 340 384.153323
#> 341 305.623483
#> 342 243.055003
#> 343 193.294114
#> 344 153.720789
#> 345 77.316894
#> 346 38.888046
#> 347 19.559490
#> 348 9.837829
#> 349 375.818919
#> 350 663.164653
#> 351 881.683366
#> 352 1046.674370
#> 353 1261.093082
#> 354 1373.466613
#> 355 1424.445564
#> 356 1438.671761
#> 357 1410.706485
#> 358 1283.193611
#> 359 1147.728930
#> 360 913.226310
#> 361 726.269108
#> 362 577.579360
#> 363 459.330878
#> 364 231.029519
#> 365 116.200824
#> 366 58.445428
#> 367 29.413101
#> 368 467.034893
#> 369 577.743856
#> 370 605.750858
#> 371 972.616067
#> 372 1251.478684
#> 373 1461.636061
#> 374 1618.379717
#> 375 1816.660936
#> 376 1913.352294
#> 377 1949.091453
#> 378 1948.507964
#> 379 1892.165445
#> 380 1712.548377
#> 381 1530.618268
#> 382 1217.726274
#> 383 968.428445
#> 384 770.161138
#> 385 612.836031
#> 386 614.628429
#> 387 615.081867
#> 388 981.960314
#> 389 1260.690109
#> 390 1470.716559
#> 391 1627.331135
#> 392 1825.359669
#> 393 1921.805474
#> 394 1957.306013
#> 395 1956.490640
#> 396 1899.703807
#> 397 1719.270926
#> 398 1536.613293
#> 399 1222.493930
#> 400 972.220014
#> 401 773.176454
#> 402 614.883155
#> 403 309.267628
#> 404 155.552206
#> 405 78.238009
#> 406 39.351289
#> 407 93.954729
#> 408 165.791161
#> 409 220.420849
#> 410 261.668599
#> 411 315.273327
#> 412 343.366720
#> 413 356.111447
#> 414 359.667986
#> 415 352.676646
#> 416 320.798408
#> 417 286.932234
#> 418 228.306578
#> 419 181.567277
#> 420 144.394840
#> 421 114.832720
#> 422 57.757344
#> 423 29.050204
#> 424 14.611368
#> 425 7.353273
#> 426 116.758723
#> 427 144.435964
#> 428 151.437714
#> 429 243.154017
#> 430 312.869671
#> 431 365.409015
#> 432 404.594929
#> 433 454.165234
#> 434 478.338073
#> 435 487.272863
#> 436 487.126991
#> 437 473.041361
#> 438 428.137094
#> 439 382.654567
#> 440 304.431568
#> 441 242.107111
#> 442 192.540284
#> 443 153.209008
#> 444 153.657107
#> 445 153.770467
#> 446 245.490079
#> 447 315.172527
#> 448 367.679140
#> 449 406.832784
#> 450 456.339917
#> 451 480.451368
#> 452 489.326503
#> 453 489.122660
#> 454 474.925952
#> 455 429.817732
#> 456 384.153323
#> 457 305.623483
#> 458 243.055003
#> 459 193.294114
#> 460 153.720789
#> 461 77.316894
#> 462 38.888046
#> 463 19.559490
#> 464 9.837829
#> 465 375.818919
#> 466 663.164653
#> 467 881.683366
#> 468 1046.674370
#> 469 1261.093082
#> 470 1373.466613
#> 471 1424.445564
#> 472 1438.671761
#> 473 1410.706485
#> 474 1283.193611
#> 475 1147.728930
#> 476 913.226310
#> 477 726.269108
#> 478 577.579360
#> 479 459.330878
#> 480 231.029519
#> 481 116.200824
#> 482 58.445428
#> 483 29.413101
#> 484 467.034893
#> 485 577.743856
#> 486 605.750858
#> 487 972.616067
#> 488 1251.478684
#> 489 1461.636061
#> 490 1618.379717
#> 491 1816.660936
#> 492 1913.352294
#> 493 1949.091453
#> 494 1948.507964
#> 495 1892.165445
#> 496 1712.548377
#> 497 1530.618268
#> 498 1217.726274
#> 499 968.428445
#> 500 770.161138
#> 501 612.836031
#> 502 614.628429
#> 503 615.081867
#> 504 981.960314
#> 505 1260.690109
#> 506 1470.716559
#> 507 1627.331135
#> 508 1825.359669
#> 509 1921.805474
#> 510 1957.306013
#> 511 1956.490640
#> 512 1899.703807
#> 513 1719.270926
#> 514 1536.613293
#> 515 1222.493930
#> 516 972.220014
#> 517 773.176454
#> 518 614.883155
#> 519 309.267628
#> 520 155.552206
#> 521 78.238009
#> 522 39.351289
#> 523 93.954729
#> 524 165.791161
#> 525 220.420849
#> 526 261.668599
#> 527 315.273327
#> 528 343.366720
#> 529 356.111447
#> 530 359.667986
#> 531 352.676646
#> 532 320.798408
#> 533 286.932234
#> 534 228.306578
#> 535 181.567277
#> 536 144.394840
#> 537 114.832720
#> 538 57.757344
#> 539 29.050204
#> 540 14.611368
#> 541 7.353273
#> 542 116.758723
#> 543 144.435964
#> 544 151.437714
#> 545 243.154017
#> 546 312.869671
#> 547 365.409015
#> 548 404.594929
#> 549 454.165234
#> 550 478.338073
#> 551 487.272863
#> 552 487.126991
#> 553 473.041361
#> 554 428.137094
#> 555 382.654567
#> 556 304.431568
#> 557 242.107111
#> 558 192.540284
#> 559 153.209008
#> 560 153.657107
#> 561 153.770467
#> 562 245.490079
#> 563 315.172527
#> 564 367.679140
#> 565 406.832784
#> 566 456.339917
#> 567 480.451368
#> 568 489.326503
#> 569 489.122660
#> 570 474.925952
#> 571 429.817732
#> 572 384.153323
#> 573 305.623483
#> 574 243.055003
#> 575 193.294114
#> 576 153.720789
#> 577 77.316894
#> 578 38.888046
#> 579 19.559490
#> 580 9.837829
#> 581 31.318243
#> 582 55.263721
#> 583 73.473612
#> 584 87.222870
#> 585 105.091116
#> 586 114.455575
#> 587 118.703817
#> 588 119.889329
#> 589 117.558882
#> 590 106.932803
#> 591 95.644078
#> 592 76.102193
#> 593 60.522426
#> 594 48.131613
#> 595 38.277573
#> 596 19.252460
#> 597 9.683400
#> 598 4.870456
#> 599 2.451099
#> 600 38.919576
#> 601 48.145322
#> 602 50.479238
#> 603 81.051339
#> 604 104.289890
#> 605 121.803005
#> 606 134.864976
#> 607 151.388411
#> 608 159.446025
#> 609 162.424288
#> 610 162.375664
#> 611 157.680454
#> 612 142.712365
#> 613 127.551522
#> 614 101.477190
#> 615 80.702370
#> 616 64.180095
#> 617 51.069669
#> 618 51.219036
#> 619 51.256822
#> 620 81.830026
#> 621 105.057509
#> 622 122.559713
#> 623 135.610928
#> 624 152.113306
#> 625 160.150456
#> 626 163.108834
#> 627 163.040887
#> 628 158.308651
#> 629 143.272577
#> 630 128.051108
#> 631 101.874494
#> 632 81.018334
#> 633 64.431371
#> 634 51.240263
#> 635 25.772298
#> 636 12.962681
#> 637 6.519835
#> 638 3.279284
#> 639 187.909454
#> 640 331.582335
#> 641 440.841683
#> 642 523.337182
#> 643 630.546678
#> 644 686.733453
#> 645 712.222901
#> 646 719.335977
#> 647 705.353294
#> 648 641.596816
#> 649 573.864467
#> 650 456.613155
#> 651 363.134554
#> 652 288.789680
#> 653 229.665439
#> 654 115.514785
#> 655 58.100404
#> 656 29.222749
#> 657 14.706572
#> 658 233.517452
#> 659 288.871929
#> 660 302.875429
#> 661 486.308034
#> 662 625.739342
#> 663 730.818031
#> 664 809.189859
#> 665 908.330468
#> 666 956.676147
#> 667 974.545727
#> 668 974.253982
#> 669 946.082723
#> 670 856.274189
#> 671 765.309134
#> 672 608.863137
#> 673 484.214223
#> 674 385.080569
#> 675 306.418016
#> 676 307.314214
#> 677 307.540933
#> 678 490.980157
#> 679 630.345055
#> 680 735.358279
#> 681 813.665567
#> 682 912.679835
#> 683 960.902737
#> 684 978.653007
#> 685 978.245320
#> 686 949.851904
#> 687 859.635463
#> 688 768.306646
#> 689 611.246965
#> 690 486.110007
#> 691 386.588227
#> 692 307.441578
#> 693 154.633802
#> 694 77.776097
#> 695 39.119005
#> 696 19.675644
#> 697 375.818919
#> 698 663.164653
#> 699 881.683366
#> 700 1046.674370
#> 701 1261.093082
#> 702 1373.466613
#> 703 1424.445564
#> 704 1438.671761
#> 705 1410.706485
#> 706 1283.193611
#> 707 1147.728930
#> 708 913.226310
#> 709 726.269108
#> 710 577.579360
#> 711 459.330878
#> 712 231.029519
#> 713 116.200824
#> 714 58.445428
#> 715 29.413101
#> 716 467.034893
#> 717 577.743856
#> 718 605.750858
#> 719 972.616067
#> 720 1251.478684
#> 721 1461.636061
#> 722 1618.379717
#> 723 1816.660936
#> 724 1913.352294
#> 725 1949.091453
#> 726 1948.507964
#> 727 1892.165445
#> 728 1712.548377
#> 729 1530.618268
#> 730 1217.726274
#> 731 968.428445
#> 732 770.161138
#> 733 612.836031
#> 734 614.628429
#> 735 615.081867
#> 736 981.960314
#> 737 1260.690109
#> 738 1470.716559
#> 739 1627.331135
#> 740 1825.359669
#> 741 1921.805474
#> 742 1957.306013
#> 743 1956.490640
#> 744 1899.703807
#> 745 1719.270926
#> 746 1536.613293
#> 747 1222.493930
#> 748 972.220014
#> 749 773.176454
#> 750 614.883155
#> 751 309.267628
#> 752 155.552206
#> 753 78.238009
#> 754 39.351289
#> 755 187.909454
#> 756 331.582335
#> 757 440.841683
#> 758 523.337182
#> 759 630.546678
#> 760 686.733453
#> 761 712.222901
#> 762 719.335977
#> 763 705.353294
#> 764 641.596816
#> 765 573.864467
#> 766 456.613155
#> 767 363.134554
#> 768 288.789680
#> 769 229.665439
#> 770 115.514785
#> 771 58.100404
#> 772 29.222749
#> 773 14.706572
#> 774 233.517452
#> 775 288.871929
#> 776 302.875429
#> 777 486.308034
#> 778 625.739342
#> 779 730.818031
#> 780 809.189859
#> 781 908.330468
#> 782 956.676147
#> 783 974.545727
#> 784 974.253982
#> 785 946.082723
#> 786 856.274189
#> 787 765.309134
#> 788 608.863137
#> 789 484.214223
#> 790 385.080569
#> 791 306.418016
#> 792 307.314214
#> 793 307.540933
#> 794 490.980157
#> 795 630.345055
#> 796 735.358279
#> 797 813.665567
#> 798 912.679835
#> 799 960.902737
#> 800 978.653007
#> 801 978.245320
#> 802 949.851904
#> 803 859.635463
#> 804 768.306646
#> 805 611.246965
#> 806 486.110007
#> 807 386.588227
#> 808 307.441578
#> 809 154.633802
#> 810 77.776097
#> 811 39.119005
#> 812 19.675644
#> 813 93.954729
#> 814 165.791161
#> 815 220.420849
#> 816 261.668599
#> 817 315.273327
#> 818 343.366720
#> 819 356.111447
#> 820 359.667986
#> 821 352.676646
#> 822 320.798408
#> 823 286.932234
#> 824 228.306578
#> 825 181.567277
#> 826 144.394840
#> 827 114.832720
#> 828 57.757344
#> 829 29.050204
#> 830 14.611368
#> 831 7.353273
#> 832 116.758723
#> 833 144.435964
#> 834 151.437714
#> 835 243.154017
#> 836 312.869671
#> 837 365.409015
#> 838 404.594929
#> 839 454.165234
#> 840 478.338073
#> 841 487.272863
#> 842 487.126991
#> 843 473.041361
#> 844 428.137094
#> 845 382.654567
#> 846 304.431568
#> 847 242.107111
#> 848 192.540284
#> 849 153.209008
#> 850 153.657107
#> 851 153.770467
#> 852 245.490079
#> 853 315.172527
#> 854 367.679140
#> 855 406.832784
#> 856 456.339917
#> 857 480.451368
#> 858 489.326503
#> 859 489.122660
#> 860 474.925952
#> 861 429.817732
#> 862 384.153323
#> 863 305.623483
#> 864 243.055003
#> 865 193.294114
#> 866 153.720789
#> 867 77.316894
#> 868 38.888046
#> 869 19.559490
#> 870 9.837829
#> 871 31.318243
#> 872 55.263721
#> 873 73.473612
#> 874 87.222870
#> 875 105.091116
#> 876 114.455575
#> 877 118.703817
#> 878 119.889329
#> 879 117.558882
#> 880 106.932803
#> 881 95.644078
#> 882 76.102193
#> 883 60.522426
#> 884 48.131613
#> 885 38.277573
#> 886 19.252460
#> 887 9.683400
#> 888 4.870456
#> 889 2.451091
#> 890 38.919574
#> 891 48.145321
#> 892 50.479238
#> 893 81.051339
#> 894 104.289890
#> 895 121.803005
#> 896 134.864976
#> 897 151.388411
#> 898 159.446024
#> 899 162.424288
#> 900 162.375664
#> 901 157.680454
#> 902 142.712365
#> 903 127.551522
#> 904 101.477189
#> 905 80.702370
#> 906 64.180095
#> 907 51.069669
#> 908 51.219036
#> 909 51.256822
#> 910 81.830026
#> 911 105.057509
#> 912 122.559713
#> 913 135.610928
#> 914 152.113306
#> 915 160.150456
#> 916 163.108834
#> 917 163.040887
#> 918 158.308651
#> 919 143.272577
#> 920 128.051108
#> 921 101.874494
#> 922 81.018334
#> 923 64.431371
#> 924 51.240263
#> 925 25.772298
#> 926 12.962681
#> 927 6.519835
#> 928 3.279274
#> 929 31.318243
#> 930 55.263721
#> 931 73.473612
#> 932 87.222870
#> 933 105.091116
#> 934 114.455575
#> 935 118.703817
#> 936 119.889329
#> 937 117.558882
#> 938 106.932803
#> 939 95.644078
#> 940 76.102193
#> 941 60.522426
#> 942 48.131613
#> 943 38.277573
#> 944 19.252460
#> 945 9.683400
#> 946 4.870456
#> 947 2.451091
#> 948 38.919574
#> 949 48.145321
#> 950 50.479238
#> 951 81.051339
#> 952 104.289890
#> 953 121.803005
#> 954 134.864976
#> 955 151.388411
#> 956 159.446024
#> 957 162.424288
#> 958 162.375664
#> 959 157.680454
#> 960 142.712365
#> 961 127.551522
#> 962 101.477189
#> 963 80.702370
#> 964 64.180095
#> 965 51.069669
#> 966 51.219036
#> 967 51.256822
#> 968 81.830026
#> 969 105.057509
#> 970 122.559713
#> 971 135.610928
#> 972 152.113306
#> 973 160.150456
#> 974 163.108834
#> 975 163.040887
#> 976 158.308651
#> 977 143.272577
#> 978 128.051108
#> 979 101.874494
#> 980 81.018334
#> 981 64.431371
#> 982 51.240263
#> 983 25.772298
#> 984 12.962681
#> 985 6.519835
#> 986 3.279274
#> 987 187.909454
#> 988 331.582335
#> 989 440.841683
#> 990 523.337182
#> 991 630.546678
#> 992 686.733453
#> 993 712.222901
#> 994 719.335977
#> 995 705.353294
#> 996 641.596816
#> 997 573.864467
#> 998 456.613155
#> 999 363.134554
#> 1000 288.789680
#> 1001 229.665439
#> 1002 115.514785
#> 1003 58.100404
#> 1004 29.222749
#> 1005 14.706572
#> 1006 233.517452
#> 1007 288.871929
#> 1008 302.875429
#> 1009 486.308034
#> 1010 625.739342
#> 1011 730.818031
#> 1012 809.189859
#> 1013 908.330468
#> 1014 956.676147
#> 1015 974.545727
#> 1016 974.253982
#> 1017 946.082723
#> 1018 856.274189
#> 1019 765.309134
#> 1020 608.863137
#> 1021 484.214223
#> 1022 385.080569
#> 1023 306.418016
#> 1024 307.314214
#> 1025 307.540933
#> 1026 490.980157
#> 1027 630.345055
#> 1028 735.358279
#> 1029 813.665567
#> 1030 912.679835
#> 1031 960.902737
#> 1032 978.653007
#> 1033 978.245320
#> 1034 949.851904
#> 1035 859.635463
#> 1036 768.306646
#> 1037 611.246965
#> 1038 486.110007
#> 1039 386.588227
#> 1040 307.441578
#> 1041 154.633802
#> 1042 77.776097
#> 1043 39.119005
#> 1044 19.675644
#> 1045 375.818919
#> 1046 663.164653
#> 1047 881.683366
#> 1048 1046.674370
#> 1049 1261.093082
#> 1050 1373.466613
#> 1051 1424.445564
#> 1052 1438.671761
#> 1053 1410.706485
#> 1054 1283.193611
#> 1055 1147.728930
#> 1056 913.226310
#> 1057 726.269108
#> 1058 577.579360
#> 1059 459.330878
#> 1060 231.029519
#> 1061 116.200824
#> 1062 58.445428
#> 1063 29.413101
#> 1064 467.034893
#> 1065 577.743856
#> 1066 605.750858
#> 1067 972.616067
#> 1068 1251.478684
#> 1069 1461.636061
#> 1070 1618.379717
#> 1071 1816.660936
#> 1072 1913.352294
#> 1073 1949.091453
#> 1074 1948.507964
#> 1075 1892.165445
#> 1076 1712.548377
#> 1077 1530.618268
#> 1078 1217.726274
#> 1079 968.428445
#> 1080 770.161138
#> 1081 612.836031
#> 1082 614.628429
#> 1083 615.081867
#> 1084 981.960314
#> 1085 1260.690109
#> 1086 1470.716559
#> 1087 1627.331135
#> 1088 1825.359669
#> 1089 1921.805474
#> 1090 1957.306013
#> 1091 1956.490640
#> 1092 1899.703807
#> 1093 1719.270926
#> 1094 1536.613293
#> 1095 1222.493930
#> 1096 972.220014
#> 1097 773.176454
#> 1098 614.883155
#> 1099 309.267628
#> 1100 155.552206
#> 1101 78.238009
#> 1102 39.351289
#> 1103 187.909454
#> 1104 331.582335
#> 1105 440.841683
#> 1106 523.337182
#> 1107 630.546678
#> 1108 686.733453
#> 1109 712.222901
#> 1110 719.335977
#> 1111 705.353294
#> 1112 641.596816
#> 1113 573.864467
#> 1114 456.613155
#> 1115 363.134554
#> 1116 288.789680
#> 1117 229.665439
#> 1118 115.514785
#> 1119 58.100404
#> 1120 29.222749
#> 1121 14.706572
#> 1122 233.517452
#> 1123 288.871929
#> 1124 302.875429
#> 1125 486.308034
#> 1126 625.739342
#> 1127 730.818031
#> 1128 809.189859
#> 1129 908.330468
#> 1130 956.676147
#> 1131 974.545727
#> 1132 974.253982
#> 1133 946.082723
#> 1134 856.274189
#> 1135 765.309134
#> 1136 608.863137
#> 1137 484.214223
#> 1138 385.080569
#> 1139 306.418016
#> 1140 307.314214
#> 1141 307.540933
#> 1142 490.980157
#> 1143 630.345055
#> 1144 735.358279
#> 1145 813.665567
#> 1146 912.679835
#> 1147 960.902737
#> 1148 978.653007
#> 1149 978.245320
#> 1150 949.851904
#> 1151 859.635463
#> 1152 768.306646
#> 1153 611.246965
#> 1154 486.110007
#> 1155 386.588227
#> 1156 307.441578
#> 1157 154.633802
#> 1158 77.776097
#> 1159 39.119005
#> 1160 19.675644
#> 1161 93.954729
#> 1162 165.791161
#> 1163 220.420849
#> 1164 261.668599
#> 1165 315.273327
#> 1166 343.366720
#> 1167 356.111447
#> 1168 359.667986
#> 1169 352.676646
#> 1170 320.798408
#> 1171 286.932234
#> 1172 228.306578
#> 1173 181.567277
#> 1174 144.394840
#> 1175 114.832720
#> 1176 57.757344
#> 1177 29.050204
#> 1178 14.611368
#> 1179 7.353273
#> 1180 116.758723
#> 1181 144.435964
#> 1182 151.437714
#> 1183 243.154017
#> 1184 312.869671
#> 1185 365.409015
#> 1186 404.594929
#> 1187 454.165234
#> 1188 478.338073
#> 1189 487.272863
#> 1190 487.126991
#> 1191 473.041361
#> 1192 428.137094
#> 1193 382.654567
#> 1194 304.431568
#> 1195 242.107111
#> 1196 192.540284
#> 1197 153.209008
#> 1198 153.657107
#> 1199 153.770467
#> 1200 245.490079
#> 1201 315.172527
#> 1202 367.679140
#> 1203 406.832784
#> 1204 456.339917
#> 1205 480.451368
#> 1206 489.326503
#> 1207 489.122660
#> 1208 474.925952
#> 1209 429.817732
#> 1210 384.153323
#> 1211 305.623483
#> 1212 243.055003
#> 1213 193.294114
#> 1214 153.720789
#> 1215 77.316894
#> 1216 38.888046
#> 1217 19.559490
#> 1218 9.837829
#> 1219 31.318243
#> 1220 55.263721
#> 1221 73.473612
#> 1222 87.222870
#> 1223 105.091116
#> 1224 114.455575
#> 1225 118.703817
#> 1226 119.889329
#> 1227 117.558882
#> 1228 106.932803
#> 1229 95.644078
#> 1230 76.102193
#> 1231 60.522426
#> 1232 48.131613
#> 1233 38.277573
#> 1234 19.252460
#> 1235 9.683400
#> 1236 4.870456
#> 1237 2.451091
#> 1238 38.919574
#> 1239 48.145321
#> 1240 50.479238
#> 1241 81.051339
#> 1242 104.289890
#> 1243 121.803005
#> 1244 134.864976
#> 1245 151.388411
#> 1246 159.446024
#> 1247 162.424288
#> 1248 162.375664
#> 1249 157.680454
#> 1250 142.712365
#> 1251 127.551522
#> 1252 101.477189
#> 1253 80.702370
#> 1254 64.180095
#> 1255 51.069669
#> 1256 51.219036
#> 1257 51.256822
#> 1258 81.830026
#> 1259 105.057509
#> 1260 122.559713
#> 1261 135.610928
#> 1262 152.113306
#> 1263 160.150456
#> 1264 163.108834
#> 1265 163.040887
#> 1266 158.308651
#> 1267 143.272577
#> 1268 128.051108
#> 1269 101.874494
#> 1270 81.018334
#> 1271 64.431371
#> 1272 51.240263
#> 1273 25.772298
#> 1274 12.962681
#> 1275 6.519835
#> 1276 3.279274
#> 1277 93.954729
#> 1278 165.791161
#> 1279 220.420849
#> 1280 261.668599
#> 1281 315.273327
#> 1282 343.366720
#> 1283 356.111447
#> 1284 359.667986
#> 1285 352.676646
#> 1286 320.798408
#> 1287 286.932234
#> 1288 228.306578
#> 1289 181.567277
#> 1290 144.394840
#> 1291 114.832720
#> 1292 57.757344
#> 1293 29.050204
#> 1294 14.611368
#> 1295 7.353273
#> 1296 116.758723
#> 1297 144.435964
#> 1298 151.437714
#> 1299 243.154017
#> 1300 312.869671
#> 1301 365.409015
#> 1302 404.594929
#> 1303 454.165234
#> 1304 478.338073
#> 1305 487.272863
#> 1306 487.126991
#> 1307 473.041361
#> 1308 428.137094
#> 1309 382.654567
#> 1310 304.431568
#> 1311 242.107111
#> 1312 192.540284
#> 1313 153.209008
#> 1314 153.657107
#> 1315 153.770467
#> 1316 245.490079
#> 1317 315.172527
#> 1318 367.679140
#> 1319 406.832784
#> 1320 456.339917
#> 1321 480.451368
#> 1322 489.326503
#> 1323 489.122660
#> 1324 474.925952
#> 1325 429.817732
#> 1326 384.153323
#> 1327 305.623483
#> 1328 243.055003
#> 1329 193.294114
#> 1330 153.720789
#> 1331 77.316894
#> 1332 38.888046
#> 1333 19.559490
#> 1334 9.837829
#> 1335 375.818919
#> 1336 663.164653
#> 1337 881.683366
#> 1338 1046.674370
#> 1339 1261.093082
#> 1340 1373.466613
#> 1341 1424.445564
#> 1342 1438.671761
#> 1343 1410.706485
#> 1344 1283.193611
#> 1345 1147.728930
#> 1346 913.226310
#> 1347 726.269108
#> 1348 577.579360
#> 1349 459.330878
#> 1350 231.029519
#> 1351 116.200824
#> 1352 58.445428
#> 1353 29.413101
#> 1354 467.034893
#> 1355 577.743856
#> 1356 605.750858
#> 1357 972.616067
#> 1358 1251.478684
#> 1359 1461.636061
#> 1360 1618.379717
#> 1361 1816.660936
#> 1362 1913.352294
#> 1363 1949.091453
#> 1364 1948.507964
#> 1365 1892.165445
#> 1366 1712.548377
#> 1367 1530.618268
#> 1368 1217.726274
#> 1369 968.428445
#> 1370 770.161138
#> 1371 612.836031
#> 1372 614.628429
#> 1373 615.081867
#> 1374 981.960314
#> 1375 1260.690109
#> 1376 1470.716559
#> 1377 1627.331135
#> 1378 1825.359669
#> 1379 1921.805474
#> 1380 1957.306013
#> 1381 1956.490640
#> 1382 1899.703807
#> 1383 1719.270926
#> 1384 1536.613293
#> 1385 1222.493930
#> 1386 972.220014
#> 1387 773.176454
#> 1388 614.883155
#> 1389 309.267628
#> 1390 155.552206
#> 1391 78.238009
#> 1392 39.351289
#> 1393 93.954729
#> 1394 165.791161
#> 1395 220.420849
#> 1396 261.668599
#> 1397 315.273327
#> 1398 343.366720
#> 1399 356.111447
#> 1400 359.667986
#> 1401 352.676646
#> 1402 320.798408
#> 1403 286.932234
#> 1404 228.306578
#> 1405 181.567277
#> 1406 144.394840
#> 1407 114.832720
#> 1408 57.757344
#> 1409 29.050204
#> 1410 14.611368
#> 1411 7.353273
#> 1412 116.758723
#> 1413 144.435964
#> 1414 151.437714
#> 1415 243.154017
#> 1416 312.869671
#> 1417 365.409015
#> 1418 404.594929
#> 1419 454.165234
#> 1420 478.338073
#> 1421 487.272863
#> 1422 487.126991
#> 1423 473.041361
#> 1424 428.137094
#> 1425 382.654567
#> 1426 304.431568
#> 1427 242.107111
#> 1428 192.540284
#> 1429 153.209008
#> 1430 153.657107
#> 1431 153.770467
#> 1432 245.490079
#> 1433 315.172527
#> 1434 367.679140
#> 1435 406.832784
#> 1436 456.339917
#> 1437 480.451368
#> 1438 489.326503
#> 1439 489.122660
#> 1440 474.925952
#> 1441 429.817732
#> 1442 384.153323
#> 1443 305.623483
#> 1444 243.055003
#> 1445 193.294114
#> 1446 153.720789
#> 1447 77.316894
#> 1448 38.888046
#> 1449 19.559490
#> 1450 9.837829
#> 1451 375.818919
#> 1452 663.164653
#> 1453 881.683366
#> 1454 1046.674370
#> 1455 1261.093082
#> 1456 1373.466613
#> 1457 1424.445564
#> 1458 1438.671761
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#> 1477 1816.660936
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#> 1483 1530.618268
#> 1484 1217.726274
#> 1485 968.428445
#> 1486 770.161138
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#> 1493 1627.331135
#> 1494 1825.359669
#> 1495 1921.805474
#> 1496 1957.306013
#> 1497 1956.490640
#> 1498 1899.703807
#> 1499 1719.270926
#> 1500 1536.613293
#> 1501 1222.493930
#> 1502 972.220014
#> 1503 773.176454
#> 1504 614.883155
#> 1505 309.267628
#> 1506 155.552206
#> 1507 78.238009
#> 1508 39.351289
#> 1509 187.909454
#> 1510 331.582335
#> 1511 440.841683
#> 1512 523.337182
#> 1513 630.546678
#> 1514 686.733453
#> 1515 712.222901
#> 1516 719.335977
#> 1517 705.353294
#> 1518 641.596816
#> 1519 573.864467
#> 1520 456.613155
#> 1521 363.134554
#> 1522 288.789680
#> 1523 229.665439
#> 1524 115.514785
#> 1525 58.100404
#> 1526 29.222749
#> 1527 14.706572
#> 1528 233.517452
#> 1529 288.871929
#> 1530 302.875429
#> 1531 486.308034
#> 1532 625.739342
#> 1533 730.818031
#> 1534 809.189859
#> 1535 908.330468
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#> 1537 974.545727
#> 1538 974.253982
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#> 1541 765.309134
#> 1542 608.863137
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#> 1544 385.080569
#> 1545 306.418016
#> 1546 307.314214
#> 1547 307.540933
#> 1548 490.980157
#> 1549 630.345055
#> 1550 735.358279
#> 1551 813.665567
#> 1552 912.679835
#> 1553 960.902737
#> 1554 978.653007
#> 1555 978.245320
#> 1556 949.851904
#> 1557 859.635463
#> 1558 768.306646
#> 1559 611.246965
#> 1560 486.110007
#> 1561 386.588227
#> 1562 307.441578
#> 1563 154.633802
#> 1564 77.776097
#> 1565 39.119005
#> 1566 19.675644
#> 1567 31.318243
#> 1568 55.263721
#> 1569 73.473612
#> 1570 87.222870
#> 1571 105.091116
#> 1572 114.455575
#> 1573 118.703817
#> 1574 119.889329
#> 1575 117.558882
#> 1576 106.932803
#> 1577 95.644078
#> 1578 76.102193
#> 1579 60.522426
#> 1580 48.131613
#> 1581 38.277573
#> 1582 19.252460
#> 1583 9.683400
#> 1584 4.870456
#> 1585 2.451091
#> 1586 38.919574
#> 1587 48.145321
#> 1588 50.479238
#> 1589 81.051339
#> 1590 104.289890
#> 1591 121.803005
#> 1592 134.864976
#> 1593 151.388411
#> 1594 159.446024
#> 1595 162.424288
#> 1596 162.375664
#> 1597 157.680454
#> 1598 142.712365
#> 1599 127.551522
#> 1600 101.477189
#> 1601 80.702370
#> 1602 64.180095
#> 1603 51.069669
#> 1604 51.219036
#> 1605 51.256822
#> 1606 81.830026
#> 1607 105.057509
#> 1608 122.559713
#> 1609 135.610928
#> 1610 152.113306
#> 1611 160.150456
#> 1612 163.108834
#> 1613 163.040887
#> 1614 158.308651
#> 1615 143.272577
#> 1616 128.051108
#> 1617 101.874494
#> 1618 81.018334
#> 1619 64.431371
#> 1620 51.240263
#> 1621 25.772298
#> 1622 12.962681
#> 1623 6.519835
#> 1624 3.279274
#> 1625 93.954729
#> 1626 165.791161
#> 1627 220.420849
#> 1628 261.668599
#> 1629 315.273327
#> 1630 343.366720
#> 1631 356.111447
#> 1632 359.667986
#> 1633 352.676646
#> 1634 320.798408
#> 1635 286.932234
#> 1636 228.306578
#> 1637 181.567277
#> 1638 144.394840
#> 1639 114.832720
#> 1640 57.757344
#> 1641 29.050204
#> 1642 14.611368
#> 1643 7.353273
#> 1644 116.758723
#> 1645 144.435964
#> 1646 151.437714
#> 1647 243.154017
#> 1648 312.869671
#> 1649 365.409015
#> 1650 404.594929
#> 1651 454.165234
#> 1652 478.338073
#> 1653 487.272863
#> 1654 487.126991
#> 1655 473.041361
#> 1656 428.137094
#> 1657 382.654567
#> 1658 304.431568
#> 1659 242.107111
#> 1660 192.540284
#> 1661 153.209008
#> 1662 153.657107
#> 1663 153.770467
#> 1664 245.490079
#> 1665 315.172527
#> 1666 367.679140
#> 1667 406.832784
#> 1668 456.339917
#> 1669 480.451368
#> 1670 489.326503
#> 1671 489.122660
#> 1672 474.925952
#> 1673 429.817732
#> 1674 384.153323
#> 1675 305.623483
#> 1676 243.055003
#> 1677 193.294114
#> 1678 153.720789
#> 1679 77.316894
#> 1680 38.888046
#> 1681 19.559490
#> 1682 9.837829
#> 1683 187.909454
#> 1684 331.582335
#> 1685 440.841683
#> 1686 523.337182
#> 1687 630.546678
#> 1688 686.733453
#> 1689 712.222901
#> 1690 719.335977
#> 1691 705.353294
#> 1692 641.596816
#> 1693 573.864467
#> 1694 456.613155
#> 1695 363.134554
#> 1696 288.789680
#> 1697 229.665439
#> 1698 115.514785
#> 1699 58.100404
#> 1700 29.222749
#> 1701 14.706572
#> 1702 233.517452
#> 1703 288.871929
#> 1704 302.875429
#> 1705 486.308034
#> 1706 625.739342
#> 1707 730.818031
#> 1708 809.189859
#> 1709 908.330468
#> 1710 956.676147
#> 1711 974.545727
#> 1712 974.253982
#> 1713 946.082723
#> 1714 856.274189
#> 1715 765.309134
#> 1716 608.863137
#> 1717 484.214223
#> 1718 385.080569
#> 1719 306.418016
#> 1720 307.314214
#> 1721 307.540933
#> 1722 490.980157
#> 1723 630.345055
#> 1724 735.358279
#> 1725 813.665567
#> 1726 912.679835
#> 1727 960.902737
#> 1728 978.653007
#> 1729 978.245320
#> 1730 949.851904
#> 1731 859.635463
#> 1732 768.306646
#> 1733 611.246965
#> 1734 486.110007
#> 1735 386.588227
#> 1736 307.441578
#> 1737 154.633802
#> 1738 77.776097
#> 1739 39.119005
#> 1740 19.675644
#> 1741 375.818919
#> 1742 663.164653
#> 1743 881.683366
#> 1744 1046.674370
#> 1745 1261.093082
#> 1746 1373.466613
#> 1747 1424.445564
#> 1748 1438.671761
#> 1749 1410.706485
#> 1750 1283.193611
#> 1751 1147.728930
#> 1752 913.226310
#> 1753 726.269108
#> 1754 577.579360
#> 1755 459.330878
#> 1756 231.029519
#> 1757 116.200824
#> 1758 58.445428
#> 1759 29.413101
#> 1760 467.034893
#> 1761 577.743856
#> 1762 605.750858
#> 1763 972.616067
#> 1764 1251.478684
#> 1765 1461.636061
#> 1766 1618.379717
#> 1767 1816.660936
#> 1768 1913.352294
#> 1769 1949.091453
#> 1770 1948.507964
#> 1771 1892.165445
#> 1772 1712.548377
#> 1773 1530.618268
#> 1774 1217.726274
#> 1775 968.428445
#> 1776 770.161138
#> 1777 612.836031
#> 1778 614.628429
#> 1779 615.081867
#> 1780 981.960314
#> 1781 1260.690109
#> 1782 1470.716559
#> 1783 1627.331135
#> 1784 1825.359669
#> 1785 1921.805474
#> 1786 1957.306013
#> 1787 1956.490640
#> 1788 1899.703807
#> 1789 1719.270926
#> 1790 1536.613293
#> 1791 1222.493930
#> 1792 972.220014
#> 1793 773.176454
#> 1794 614.883155
#> 1795 309.267628
#> 1796 155.552206
#> 1797 78.238009
#> 1798 39.351289
#> 1799 31.318243
#> 1800 55.263721
#> 1801 73.473612
#> 1802 87.222870
#> 1803 105.091116
#> 1804 114.455575
#> 1805 118.703817
#> 1806 119.889329
#> 1807 117.558882
#> 1808 106.932803
#> 1809 95.644078
#> 1810 76.102193
#> 1811 60.522426
#> 1812 48.131613
#> 1813 38.277573
#> 1814 19.252460
#> 1815 9.683400
#> 1816 4.870456
#> 1817 2.451091
#> 1818 38.919574
#> 1819 48.145321
#> 1820 50.479238
#> 1821 81.051339
#> 1822 104.289890
#> 1823 121.803005
#> 1824 134.864976
#> 1825 151.388411
#> 1826 159.446024
#> 1827 162.424288
#> 1828 162.375664
#> 1829 157.680454
#> 1830 142.712365
#> 1831 127.551522
#> 1832 101.477189
#> 1833 80.702370
#> 1834 64.180095
#> 1835 51.069669
#> 1836 51.219036
#> 1837 51.256822
#> 1838 81.830026
#> 1839 105.057509
#> 1840 122.559713
#> 1841 135.610928
#> 1842 152.113306
#> 1843 160.150456
#> 1844 163.108834
#> 1845 163.040887
#> 1846 158.308651
#> 1847 143.272577
#> 1848 128.051108
#> 1849 101.874494
#> 1850 81.018334
#> 1851 64.431371
#> 1852 51.240263
#> 1853 25.772298
#> 1854 12.962681
#> 1855 6.519835
#> 1856 3.279274
#> 1857 93.954729
#> 1858 165.791161
#> 1859 220.420849
#> 1860 261.668599
#> 1861 315.273327
#> 1862 343.366720
#> 1863 356.111447
#> 1864 359.667986
#> 1865 352.676646
#> 1866 320.798408
#> 1867 286.932234
#> 1868 228.306578
#> 1869 181.567277
#> 1870 144.394840
#> 1871 114.832720
#> 1872 57.757344
#> 1873 29.050204
#> 1874 14.611368
#> 1875 7.353273
#> 1876 116.758723
#> 1877 144.435964
#> 1878 151.437714
#> 1879 243.154017
#> 1880 312.869671
#> 1881 365.409015
#> 1882 404.594929
#> 1883 454.165234
#> 1884 478.338073
#> 1885 487.272863
#> 1886 487.126991
#> 1887 473.041361
#> 1888 428.137094
#> 1889 382.654567
#> 1890 304.431568
#> 1891 242.107111
#> 1892 192.540284
#> 1893 153.209008
#> 1894 153.657107
#> 1895 153.770467
#> 1896 245.490079
#> 1897 315.172527
#> 1898 367.679140
#> 1899 406.832784
#> 1900 456.339917
#> 1901 480.451368
#> 1902 489.326503
#> 1903 489.122660
#> 1904 474.925952
#> 1905 429.817732
#> 1906 384.153323
#> 1907 305.623483
#> 1908 243.055003
#> 1909 193.294114
#> 1910 153.720789
#> 1911 77.316894
#> 1912 38.888046
#> 1913 19.559490
#> 1914 9.837829
#> 1915 31.318243
#> 1916 55.263721
#> 1917 73.473612
#> 1918 87.222870
#> 1919 105.091116
#> 1920 114.455575
#> 1921 118.703817
#> 1922 119.889329
#> 1923 117.558882
#> 1924 106.932803
#> 1925 95.644078
#> 1926 76.102193
#> 1927 60.522426
#> 1928 48.131613
#> 1929 38.277573
#> 1930 19.252460
#> 1931 9.683400
#> 1932 4.870456
#> 1933 2.451091
#> 1934 38.919574
#> 1935 48.145321
#> 1936 50.479238
#> 1937 81.051339
#> 1938 104.289890
#> 1939 121.803005
#> 1940 134.864976
#> 1941 151.388411
#> 1942 159.446024
#> 1943 162.424288
#> 1944 162.375664
#> 1945 157.680454
#> 1946 142.712365
#> 1947 127.551522
#> 1948 101.477189
#> 1949 80.702370
#> 1950 64.180095
#> 1951 51.069669
#> 1952 51.219036
#> 1953 51.256822
#> 1954 81.830026
#> 1955 105.057509
#> 1956 122.559713
#> 1957 135.610928
#> 1958 152.113306
#> 1959 160.150456
#> 1960 163.108834
#> 1961 163.040887
#> 1962 158.308651
#> 1963 143.272577
#> 1964 128.051108
#> 1965 101.874494
#> 1966 81.018334
#> 1967 64.431371
#> 1968 51.240263
#> 1969 25.772298
#> 1970 12.962681
#> 1971 6.519835
#> 1972 3.279274
#> 1973 31.318243
#> 1974 55.263721
#> 1975 73.473612
#> 1976 87.222870
#> 1977 105.091116
#> 1978 114.455575
#> 1979 118.703817
#> 1980 119.889329
#> 1981 117.558882
#> 1982 106.932803
#> 1983 95.644078
#> 1984 76.102193
#> 1985 60.522426
#> 1986 48.131613
#> 1987 38.277573
#> 1988 19.252460
#> 1989 9.683400
#> 1990 4.870456
#> 1991 2.451091
#> 1992 38.919574
#> 1993 48.145321
#> 1994 50.479238
#> 1995 81.051339
#> 1996 104.289890
#> 1997 121.803005
#> 1998 134.864976
#> 1999 151.388411
#> 2000 159.446024
#> 2001 162.424288
#> 2002 162.375664
#> 2003 157.680454
#> 2004 142.712365
#> 2005 127.551522
#> 2006 101.477189
#> 2007 80.702370
#> 2008 64.180095
#> 2009 51.069669
#> 2010 51.219036
#> 2011 51.256822
#> 2012 81.830026
#> 2013 105.057509
#> 2014 122.559713
#> 2015 135.610928
#> 2016 152.113306
#> 2017 160.150456
#> 2018 163.108834
#> 2019 163.040887
#> 2020 158.308651
#> 2021 143.272577
#> 2022 128.051108
#> 2023 101.874494
#> 2024 81.018334
#> 2025 64.431371
#> 2026 51.240263
#> 2027 25.772298
#> 2028 12.962681
#> 2029 6.519835
#> 2030 3.279274
#> 2031 187.909454
#> 2032 331.582335
#> 2033 440.841683
#> 2034 523.337182
#> 2035 630.546678
#> 2036 686.733453
#> 2037 712.222901
#> 2038 719.335977
#> 2039 705.353294
#> 2040 641.596816
#> 2041 573.864467
#> 2042 456.613155
#> 2043 363.134554
#> 2044 288.789680
#> 2045 229.665439
#> 2046 115.514785
#> 2047 58.100404
#> 2048 29.222749
#> 2049 14.706572
#> 2050 233.517452
#> 2051 288.871929
#> 2052 302.875429
#> 2053 486.308034
#> 2054 625.739342
#> 2055 730.818031
#> 2056 809.189859
#> 2057 908.330468
#> 2058 956.676147
#> 2059 974.545727
#> 2060 974.253982
#> 2061 946.082723
#> 2062 856.274189
#> 2063 765.309134
#> 2064 608.863137
#> 2065 484.214223
#> 2066 385.080569
#> 2067 306.418016
#> 2068 307.314214
#> 2069 307.540933
#> 2070 490.980157
#> 2071 630.345055
#> 2072 735.358279
#> 2073 813.665567
#> 2074 912.679835
#> 2075 960.902737
#> 2076 978.653007
#> 2077 978.245320
#> 2078 949.851904
#> 2079 859.635463
#> 2080 768.306646
#> 2081 611.246965
#> 2082 486.110007
#> 2083 386.588227
#> 2084 307.441578
#> 2085 154.633802
#> 2086 77.776097
#> 2087 39.119005
#> 2088 19.675644
#> 2089 375.818919
#> 2090 663.164653
#> 2091 881.683366
#> 2092 1046.674370
#> 2093 1261.093082
#> 2094 1373.466613
#> 2095 1424.445564
#> 2096 1438.671761
#> 2097 1410.706485
#> 2098 1283.193611
#> 2099 1147.728930
#> 2100 913.226310
#> 2101 726.269108
#> 2102 577.579360
#> 2103 459.330878
#> 2104 231.029519
#> 2105 116.200824
#> 2106 58.445428
#> 2107 29.413101
#> 2108 467.034893
#> 2109 577.743856
#> 2110 605.750858
#> 2111 972.616067
#> 2112 1251.478684
#> 2113 1461.636061
#> 2114 1618.379717
#> 2115 1816.660936
#> 2116 1913.352294
#> 2117 1949.091453
#> 2118 1948.507964
#> 2119 1892.165445
#> 2120 1712.548377
#> 2121 1530.618268
#> 2122 1217.726274
#> 2123 968.428445
#> 2124 770.161138
#> 2125 612.836031
#> 2126 614.628429
#> 2127 615.081867
#> 2128 981.960314
#> 2129 1260.690109
#> 2130 1470.716559
#> 2131 1627.331135
#> 2132 1825.359669
#> 2133 1921.805474
#> 2134 1957.306013
#> 2135 1956.490640
#> 2136 1899.703807
#> 2137 1719.270926
#> 2138 1536.613293
#> 2139 1222.493930
#> 2140 972.220014
#> 2141 773.176454
#> 2142 614.883155
#> 2143 309.267628
#> 2144 155.552206
#> 2145 78.238009
#> 2146 39.351289
#> 2147 93.954729
#> 2148 165.791161
#> 2149 220.420849
#> 2150 261.668599
#> 2151 315.273327
#> 2152 343.366720
#> 2153 356.111447
#> 2154 359.667986
#> 2155 352.676646
#> 2156 320.798408
#> 2157 286.932234
#> 2158 228.306578
#> 2159 181.567277
#> 2160 144.394840
#> 2161 114.832720
#> 2162 57.757344
#> 2163 29.050204
#> 2164 14.611368
#> 2165 7.353273
#> 2166 116.758723
#> 2167 144.435964
#> 2168 151.437714
#> 2169 243.154017
#> 2170 312.869671
#> 2171 365.409015
#> 2172 404.594929
#> 2173 454.165234
#> 2174 478.338073
#> 2175 487.272863
#> 2176 487.126991
#> 2177 473.041361
#> 2178 428.137094
#> 2179 382.654567
#> 2180 304.431568
#> 2181 242.107111
#> 2182 192.540284
#> 2183 153.209008
#> 2184 153.657107
#> 2185 153.770467
#> 2186 245.490079
#> 2187 315.172527
#> 2188 367.679140
#> 2189 406.832784
#> 2190 456.339917
#> 2191 480.451368
#> 2192 489.326503
#> 2193 489.122660
#> 2194 474.925952
#> 2195 429.817732
#> 2196 384.153323
#> 2197 305.623483
#> 2198 243.055003
#> 2199 193.294114
#> 2200 153.720789
#> 2201 77.316894
#> 2202 38.888046
#> 2203 19.559490
#> 2204 9.837829
#> 2205 375.818919
#> 2206 663.164653
#> 2207 881.683366
#> 2208 1046.674370
#> 2209 1261.093082
#> 2210 1373.466613
#> 2211 1424.445564
#> 2212 1438.671761
#> 2213 1410.706485
#> 2214 1283.193611
#> 2215 1147.728930
#> 2216 913.226310
#> 2217 726.269108
#> 2218 577.579360
#> 2219 459.330878
#> 2220 231.029519
#> 2221 116.200824
#> 2222 58.445428
#> 2223 29.413101
#> 2224 467.034893
#> 2225 577.743856
#> 2226 605.750858
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#> 2351 1892.165445
#> 2352 1712.548377
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#> 2559 356.111447
#> 2560 359.667986
#> 2561 352.676646
#> 2562 320.798408
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#> 2597 480.451368
#> 2598 489.326503
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#> 2600 474.925952
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#> 2624 288.789680
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#> 2626 115.514785
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#> 2680 76.102193
#> 2681 60.522426
#> 2682 48.131613
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#> 2698 162.375664
#> 2699 157.680454
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#> 2701 127.551522
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#> 2704 64.180095
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#> 2711 135.610928
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#> 2926 1618.379717
#> 2927 1816.660936
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#> 2930 1948.507964
#> 2931 1892.165445
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#> 2941 1260.690109
#> 2942 1470.716559
#> 2943 1627.331135
#> 2944 1825.359669
#> 2945 1921.805474
#> 2946 1957.306013
#> 2947 1956.490640
#> 2948 1899.703807
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#> 2951 1222.493930
#> 2952 972.220014
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#> 2972 288.789680
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#> 2974 115.514785
#> 2975 58.100404
#> 2976 29.222749
#> 2977 14.706572
#> 2978 233.517452
#> 2979 288.871929
#> 2980 302.875429
#> 2981 486.308034
#> 2982 625.739342
#> 2983 730.818031
#> 2984 809.189859
#> 2985 908.330468
#> 2986 956.676147
#> 2987 974.545727
#> 2988 974.253982
#> 2989 946.082723
#> 2990 856.274189
#> 2991 765.309134
#> 2992 608.863137
#> 2993 484.214223
#> 2994 385.080569
#> 2995 306.418016
#> 2996 307.314214
#> 2997 307.540933
#> 2998 490.980157
#> 2999 630.345055
#> 3000 735.358279
#> 3001 813.665567
#> 3002 912.679835
#> 3003 960.902737
#> 3004 978.653007
#> 3005 978.245320
#> 3006 949.851904
#> 3007 859.635463
#> 3008 768.306646
#> 3009 611.246965
#> 3010 486.110007
#> 3011 386.588227
#> 3012 307.441578
#> 3013 154.633802
#> 3014 77.776097
#> 3015 39.119005
#> 3016 19.675644
#> 3017 187.909454
#> 3018 331.582335
#> 3019 440.841683
#> 3020 523.337182
#> 3021 630.546678
#> 3022 686.733453
#> 3023 712.222901
#> 3024 719.335977
#> 3025 705.353294
#> 3026 641.596816
#> 3027 573.864467
#> 3028 456.613155
#> 3029 363.134554
#> 3030 288.789680
#> 3031 229.665439
#> 3032 115.514785
#> 3033 58.100404
#> 3034 29.222749
#> 3035 14.706572
#> 3036 233.517452
#> 3037 288.871929
#> 3038 302.875429
#> 3039 486.308034
#> 3040 625.739342
#> 3041 730.818031
#> 3042 809.189859
#> 3043 908.330468
#> 3044 956.676147
#> 3045 974.545727
#> 3046 974.253982
#> 3047 946.082723
#> 3048 856.274189
#> 3049 765.309134
#> 3050 608.863137
#> 3051 484.214223
#> 3052 385.080569
#> 3053 306.418016
#> 3054 307.314214
#> 3055 307.540933
#> 3056 490.980157
#> 3057 630.345055
#> 3058 735.358279
#> 3059 813.665567
#> 3060 912.679835
#> 3061 960.902737
#> 3062 978.653007
#> 3063 978.245320
#> 3064 949.851904
#> 3065 859.635463
#> 3066 768.306646
#> 3067 611.246965
#> 3068 486.110007
#> 3069 386.588227
#> 3070 307.441578
#> 3071 154.633802
#> 3072 77.776097
#> 3073 39.119005
#> 3074 19.675644
#> 3075 31.318243
#> 3076 55.263721
#> 3077 73.473612
#> 3078 87.222870
#> 3079 105.091116
#> 3080 114.455575
#> 3081 118.703817
#> 3082 119.889329
#> 3083 117.558882
#> 3084 106.932803
#> 3085 95.644078
#> 3086 76.102193
#> 3087 60.522426
#> 3088 48.131613
#> 3089 38.277573
#> 3090 19.252460
#> 3091 9.683400
#> 3092 4.870456
#> 3093 2.451091
#> 3094 38.919574
#> 3095 48.145321
#> 3096 50.479238
#> 3097 81.051339
#> 3098 104.289890
#> 3099 121.803005
#> 3100 134.864976
#> 3101 151.388411
#> 3102 159.446024
#> 3103 162.424288
#> 3104 162.375664
#> 3105 157.680454
#> 3106 142.712365
#> 3107 127.551522
#> 3108 101.477189
#> 3109 80.702370
#> 3110 64.180095
#> 3111 51.069669
#> 3112 51.219036
#> 3113 51.256822
#> 3114 81.830026
#> 3115 105.057509
#> 3116 122.559713
#> 3117 135.610928
#> 3118 152.113306
#> 3119 160.150456
#> 3120 163.108834
#> 3121 163.040887
#> 3122 158.308651
#> 3123 143.272577
#> 3124 128.051108
#> 3125 101.874494
#> 3126 81.018334
#> 3127 64.431371
#> 3128 51.240263
#> 3129 25.772298
#> 3130 12.962681
#> 3131 6.519835
#> 3132 3.279274
#> 3133 31.318243
#> 3134 55.263721
#> 3135 73.473612
#> 3136 87.222870
#> 3137 105.091116
#> 3138 114.455575
#> 3139 118.703817
#> 3140 119.889329
#> 3141 117.558882
#> 3142 106.932803
#> 3143 95.644078
#> 3144 76.102193
#> 3145 60.522426
#> 3146 48.131613
#> 3147 38.277573
#> 3148 19.252460
#> 3149 9.683400
#> 3150 4.870456
#> 3151 2.451091
#> 3152 38.919574
#> 3153 48.145321
#> 3154 50.479238
#> 3155 81.051339
#> 3156 104.289890
#> 3157 121.803005
#> 3158 134.864976
#> 3159 151.388411
#> 3160 159.446024
#> 3161 162.424288
#> 3162 162.375664
#> 3163 157.680454
#> 3164 142.712365
#> 3165 127.551522
#> 3166 101.477189
#> 3167 80.702370
#> 3168 64.180095
#> 3169 51.069669
#> 3170 51.219036
#> 3171 51.256822
#> 3172 81.830026
#> 3173 105.057509
#> 3174 122.559713
#> 3175 135.610928
#> 3176 152.113306
#> 3177 160.150456
#> 3178 163.108834
#> 3179 163.040887
#> 3180 158.308651
#> 3181 143.272577
#> 3182 128.051108
#> 3183 101.874494
#> 3184 81.018334
#> 3185 64.431371
#> 3186 51.240263
#> 3187 25.772298
#> 3188 12.962681
#> 3189 6.519835
#> 3190 3.279274
#> 3191 375.818919
#> 3192 663.164653
#> 3193 881.683366
#> 3194 1046.674370
#> 3195 1261.093082
#> 3196 1373.466613
#> 3197 1424.445564
#> 3198 1438.671761
#> 3199 1410.706485
#> 3200 1283.193611
#> 3201 1147.728930
#> 3202 913.226310
#> 3203 726.269108
#> 3204 577.579360
#> 3205 459.330878
#> 3206 231.029519
#> 3207 116.200824
#> 3208 58.445428
#> 3209 29.413101
#> 3210 467.034893
#> 3211 577.743856
#> 3212 605.750858
#> 3213 972.616067
#> 3214 1251.478684
#> 3215 1461.636061
#> 3216 1618.379717
#> 3217 1816.660936
#> 3218 1913.352294
#> 3219 1949.091453
#> 3220 1948.507964
#> 3221 1892.165445
#> 3222 1712.548377
#> 3223 1530.618268
#> 3224 1217.726274
#> 3225 968.428445
#> 3226 770.161138
#> 3227 612.836031
#> 3228 614.628429
#> 3229 615.081867
#> 3230 981.960314
#> 3231 1260.690109
#> 3232 1470.716559
#> 3233 1627.331135
#> 3234 1825.359669
#> 3235 1921.805474
#> 3236 1957.306013
#> 3237 1956.490640
#> 3238 1899.703807
#> 3239 1719.270926
#> 3240 1536.613293
#> 3241 1222.493930
#> 3242 972.220014
#> 3243 773.176454
#> 3244 614.883155
#> 3245 309.267628
#> 3246 155.552206
#> 3247 78.238009
#> 3248 39.351289
#> 3249 187.909454
#> 3250 331.582335
#> 3251 440.841683
#> 3252 523.337182
#> 3253 630.546678
#> 3254 686.733453
#> 3255 712.222901
#> 3256 719.335977
#> 3257 705.353294
#> 3258 641.596816
#> 3259 573.864467
#> 3260 456.613155
#> 3261 363.134554
#> 3262 288.789680
#> 3263 229.665439
#> 3264 115.514785
#> 3265 58.100404
#> 3266 29.222749
#> 3267 14.706572
#> 3268 233.517452
#> 3269 288.871929
#> 3270 302.875429
#> 3271 486.308034
#> 3272 625.739342
#> 3273 730.818031
#> 3274 809.189859
#> 3275 908.330468
#> 3276 956.676147
#> 3277 974.545727
#> 3278 974.253982
#> 3279 946.082723
#> 3280 856.274189
#> 3281 765.309134
#> 3282 608.863137
#> 3283 484.214223
#> 3284 385.080569
#> 3285 306.418016
#> 3286 307.314214
#> 3287 307.540933
#> 3288 490.980157
#> 3289 630.345055
#> 3290 735.358279
#> 3291 813.665567
#> 3292 912.679835
#> 3293 960.902737
#> 3294 978.653007
#> 3295 978.245320
#> 3296 949.851904
#> 3297 859.635463
#> 3298 768.306646
#> 3299 611.246965
#> 3300 486.110007
#> 3301 386.588227
#> 3302 307.441578
#> 3303 154.633802
#> 3304 77.776097
#> 3305 39.119005
#> 3306 19.675644
#> 3307 93.954729
#> 3308 165.791161
#> 3309 220.420849
#> 3310 261.668599
#> 3311 315.273327
#> 3312 343.366720
#> 3313 356.111447
#> 3314 359.667986
#> 3315 352.676646
#> 3316 320.798408
#> 3317 286.932234
#> 3318 228.306578
#> 3319 181.567277
#> 3320 144.394840
#> 3321 114.832720
#> 3322 57.757344
#> 3323 29.050204
#> 3324 14.611368
#> 3325 7.353273
#> 3326 116.758723
#> 3327 144.435964
#> 3328 151.437714
#> 3329 243.154017
#> 3330 312.869671
#> 3331 365.409015
#> 3332 404.594929
#> 3333 454.165234
#> 3334 478.338073
#> 3335 487.272863
#> 3336 487.126991
#> 3337 473.041361
#> 3338 428.137094
#> 3339 382.654567
#> 3340 304.431568
#> 3341 242.107111
#> 3342 192.540284
#> 3343 153.209008
#> 3344 153.657107
#> 3345 153.770467
#> 3346 245.490079
#> 3347 315.172527
#> 3348 367.679140
#> 3349 406.832784
#> 3350 456.339917
#> 3351 480.451368
#> 3352 489.326503
#> 3353 489.122660
#> 3354 474.925952
#> 3355 429.817732
#> 3356 384.153323
#> 3357 305.623483
#> 3358 243.055003
#> 3359 193.294114
#> 3360 153.720789
#> 3361 77.316894
#> 3362 38.888046
#> 3363 19.559490
#> 3364 9.837829
#> 3365 375.818919
#> 3366 663.164653
#> 3367 881.683366
#> 3368 1046.674370
#> 3369 1261.093082
#> 3370 1373.466613
#> 3371 1424.445564
#> 3372 1438.671761
#> 3373 1410.706485
#> 3374 1283.193611
#> 3375 1147.728930
#> 3376 913.226310
#> 3377 726.269108
#> 3378 577.579360
#> 3379 459.330878
#> 3380 231.029519
#> 3381 116.200824
#> 3382 58.445428
#> 3383 29.413101
#> 3384 467.034893
#> 3385 577.743856
#> 3386 605.750858
#> 3387 972.616067
#> 3388 1251.478684
#> 3389 1461.636061
#> 3390 1618.379717
#> 3391 1816.660936
#> 3392 1913.352294
#> 3393 1949.091453
#> 3394 1948.507964
#> 3395 1892.165445
#> 3396 1712.548377
#> 3397 1530.618268
#> 3398 1217.726274
#> 3399 968.428445
#> 3400 770.161138
#> 3401 612.836031
#> 3402 614.628429
#> 3403 615.081867
#> 3404 981.960314
#> 3405 1260.690109
#> 3406 1470.716559
#> 3407 1627.331135
#> 3408 1825.359669
#> 3409 1921.805474
#> 3410 1957.306013
#> 3411 1956.490640
#> 3412 1899.703807
#> 3413 1719.270926
#> 3414 1536.613293
#> 3415 1222.493930
#> 3416 972.220014
#> 3417 773.176454
#> 3418 614.883155
#> 3419 309.267628
#> 3420 155.552206
#> 3421 78.238009
#> 3422 39.351289
#> 3423 187.909454
#> 3424 331.582335
#> 3425 440.841683
#> 3426 523.337182
#> 3427 630.546678
#> 3428 686.733453
#> 3429 712.222901
#> 3430 719.335977
#> 3431 705.353294
#> 3432 641.596816
#> 3433 573.864467
#> 3434 456.613155
#> 3435 363.134554
#> 3436 288.789680
#> 3437 229.665439
#> 3438 115.514785
#> 3439 58.100404
#> 3440 29.222749
#> 3441 14.706572
#> 3442 233.517452
#> 3443 288.871929
#> 3444 302.875429
#> 3445 486.308034
#> 3446 625.739342
#> 3447 730.818031
#> 3448 809.189859
#> 3449 908.330468
#> 3450 956.676147
#> 3451 974.545727
#> 3452 974.253982
#> 3453 946.082723
#> 3454 856.274189
#> 3455 765.309134
#> 3456 608.863137
#> 3457 484.214223
#> 3458 385.080569
#> 3459 306.418016
#> 3460 307.314214
#> 3461 307.540933
#> 3462 490.980157
#> 3463 630.345055
#> 3464 735.358279
#> 3465 813.665567
#> 3466 912.679835
#> 3467 960.902737
#> 3468 978.653007
#> 3469 978.245320
#> 3470 949.851904
#> 3471 859.635463
#> 3472 768.306646
#> 3473 611.246965
#> 3474 486.110007
#> 3475 386.588227
#> 3476 307.441578
#> 3477 154.633802
#> 3478 77.776097
#> 3479 39.119005
#> 3480 19.675644
#> 3481 375.818919
#> 3482 663.164653
#> 3483 881.683366
#> 3484 1046.674370
#> 3485 1261.093082
#> 3486 1373.466613
#> 3487 1424.445564
#> 3488 1438.671761
#> 3489 1410.706485
#> 3490 1283.193611
#> 3491 1147.728930
#> 3492 913.226310
#> 3493 726.269108
#> 3494 577.579360
#> 3495 459.330878
#> 3496 231.029519
#> 3497 116.200824
#> 3498 58.445428
#> 3499 29.413101
#> 3500 467.034893
#> 3501 577.743856
#> 3502 605.750858
#> 3503 972.616067
#> 3504 1251.478684
#> 3505 1461.636061
#> 3506 1618.379717
#> 3507 1816.660936
#> 3508 1913.352294
#> 3509 1949.091453
#> 3510 1948.507964
#> 3511 1892.165445
#> 3512 1712.548377
#> 3513 1530.618268
#> 3514 1217.726274
#> 3515 968.428445
#> 3516 770.161138
#> 3517 612.836031
#> 3518 614.628429
#> 3519 615.081867
#> 3520 981.960314
#> 3521 1260.690109
#> 3522 1470.716559
#> 3523 1627.331135
#> 3524 1825.359669
#> 3525 1921.805474
#> 3526 1957.306013
#> 3527 1956.490640
#> 3528 1899.703807
#> 3529 1719.270926
#> 3530 1536.613293
#> 3531 1222.493930
#> 3532 972.220014
#> 3533 773.176454
#> 3534 614.883155
#> 3535 309.267628
#> 3536 155.552206
#> 3537 78.238009
#> 3538 39.351289
#> 3539 93.954729
#> 3540 165.791161
#> 3541 220.420849
#> 3542 261.668599
#> 3543 315.273327
#> 3544 343.366720
#> 3545 356.111447
#> 3546 359.667986
#> 3547 352.676646
#> 3548 320.798408
#> 3549 286.932234
#> 3550 228.306578
#> 3551 181.567277
#> 3552 144.394840
#> 3553 114.832720
#> 3554 57.757344
#> 3555 29.050204
#> 3556 14.611368
#> 3557 7.353273
#> 3558 116.758723
#> 3559 144.435964
#> 3560 151.437714
#> 3561 243.154017
#> 3562 312.869671
#> 3563 365.409015
#> 3564 404.594929
#> 3565 454.165234
#> 3566 478.338073
#> 3567 487.272863
#> 3568 487.126991
#> 3569 473.041361
#> 3570 428.137094
#> 3571 382.654567
#> 3572 304.431568
#> 3573 242.107111
#> 3574 192.540284
#> 3575 153.209008
#> 3576 153.657107
#> 3577 153.770467
#> 3578 245.490079
#> 3579 315.172527
#> 3580 367.679140
#> 3581 406.832784
#> 3582 456.339917
#> 3583 480.451368
#> 3584 489.326503
#> 3585 489.122660
#> 3586 474.925952
#> 3587 429.817732
#> 3588 384.153323
#> 3589 305.623483
#> 3590 243.055003
#> 3591 193.294114
#> 3592 153.720789
#> 3593 77.316894
#> 3594 38.888046
#> 3595 19.559490
#> 3596 9.837829
#> 3597 31.318243
#> 3598 55.263721
#> 3599 73.473612
#> 3600 87.222870
#> 3601 105.091116
#> 3602 114.455575
#> 3603 118.703817
#> 3604 119.889329
#> 3605 117.558882
#> 3606 106.932803
#> 3607 95.644078
#> 3608 76.102193
#> 3609 60.522426
#> 3610 48.131613
#> 3611 38.277573
#> 3612 19.252460
#> 3613 9.683400
#> 3614 4.870456
#> 3615 2.451091
#> 3616 38.919574
#> 3617 48.145321
#> 3618 50.479238
#> 3619 81.051339
#> 3620 104.289890
#> 3621 121.803005
#> 3622 134.864976
#> 3623 151.388411
#> 3624 159.446024
#> 3625 162.424288
#> 3626 162.375664
#> 3627 157.680454
#> 3628 142.712365
#> 3629 127.551522
#> 3630 101.477189
#> 3631 80.702370
#> 3632 64.180095
#> 3633 51.069669
#> 3634 51.219036
#> 3635 51.256822
#> 3636 81.830026
#> 3637 105.057509
#> 3638 122.559713
#> 3639 135.610928
#> 3640 152.113306
#> 3641 160.150456
#> 3642 163.108834
#> 3643 163.040887
#> 3644 158.308651
#> 3645 143.272577
#> 3646 128.051108
#> 3647 101.874494
#> 3648 81.018334
#> 3649 64.431371
#> 3650 51.240263
#> 3651 25.772298
#> 3652 12.962681
#> 3653 6.519835
#> 3654 3.279274
#> 3655 31.318243
#> 3656 55.263721
#> 3657 73.473612
#> 3658 87.222870
#> 3659 105.091116
#> 3660 114.455575
#> 3661 118.703817
#> 3662 119.889329
#> 3663 117.558882
#> 3664 106.932803
#> 3665 95.644078
#> 3666 76.102193
#> 3667 60.522426
#> 3668 48.131613
#> 3669 38.277573
#> 3670 19.252460
#> 3671 9.683400
#> 3672 4.870456
#> 3673 2.451091
#> 3674 38.919574
#> 3675 48.145321
#> 3676 50.479238
#> 3677 81.051339
#> 3678 104.289890
#> 3679 121.803005
#> 3680 134.864976
#> 3681 151.388411
#> 3682 159.446024
#> 3683 162.424288
#> 3684 162.375664
#> 3685 157.680454
#> 3686 142.712365
#> 3687 127.551522
#> 3688 101.477189
#> 3689 80.702370
#> 3690 64.180095
#> 3691 51.069669
#> 3692 51.219036
#> 3693 51.256822
#> 3694 81.830026
#> 3695 105.057509
#> 3696 122.559713
#> 3697 135.610928
#> 3698 152.113306
#> 3699 160.150456
#> 3700 163.108834
#> 3701 163.040887
#> 3702 158.308651
#> 3703 143.272577
#> 3704 128.051108
#> 3705 101.874494
#> 3706 81.018334
#> 3707 64.431371
#> 3708 51.240263
#> 3709 25.772298
#> 3710 12.962681
#> 3711 6.519835
#> 3712 3.279274
#> 3713 375.818919
#> 3714 663.164653
#> 3715 881.683366
#> 3716 1046.674370
#> 3717 1261.093082
#> 3718 1373.466613
#> 3719 1424.445564
#> 3720 1438.671761
#> 3721 1410.706485
#> 3722 1283.193611
#> 3723 1147.728930
#> 3724 913.226310
#> 3725 726.269108
#> 3726 577.579360
#> 3727 459.330878
#> 3728 231.029519
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#> 4477 95.644078
#> 4478 76.102193
#> 4479 60.522426
#> 4480 48.131613
#> 4481 38.277573
#> 4482 19.252460
#> 4483 9.683400
#> 4484 4.870456
#> 4485 2.451091
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#> 4487 48.145321
#> 4488 50.479238
#> 4489 81.051339
#> 4490 104.289890
#> 4491 121.803005
#> 4492 134.864976
#> 4493 151.388411
#> 4494 159.446024
#> 4495 162.424288
#> 4496 162.375664
#> 4497 157.680454
#> 4498 142.712365
#> 4499 127.551522
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#> 4501 80.702370
#> 4502 64.180095
#> 4503 51.069669
#> 4504 51.219036
#> 4505 51.256822
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#> 4509 135.610928
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#> 4516 128.051108
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#> 4518 81.018334
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#> 4522 12.962681
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#> 4526 165.791161
#> 4527 220.420849
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#> 4530 343.366720
#> 4531 356.111447
#> 4532 359.667986
#> 4533 352.676646
#> 4534 320.798408
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#> 4539 114.832720
#> 4540 57.757344
#> 4541 29.050204
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#> 4546 151.437714
#> 4547 243.154017
#> 4548 312.869671
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#> 4551 454.165234
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#> 4564 245.490079
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#> 4569 480.451368
#> 4570 489.326503
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#> 4572 474.925952
#> 4573 429.817732
#> 4574 384.153323
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#> 4583 31.318243
#> 4584 55.263721
#> 4585 73.473612
#> 4586 87.222870
#> 4587 105.091116
#> 4588 114.455575
#> 4589 118.703817
#> 4590 119.889329
#> 4591 117.558882
#> 4592 106.932803
#> 4593 95.644078
#> 4594 76.102193
#> 4595 60.522426
#> 4596 48.131613
#> 4597 38.277573
#> 4598 19.252460
#> 4599 9.683400
#> 4600 4.870456
#> 4601 2.451091
#> 4602 38.919574
#> 4603 48.145321
#> 4604 50.479238
#> 4605 81.051339
#> 4606 104.289890
#> 4607 121.803005
#> 4608 134.864976
#> 4609 151.388411
#> 4610 159.446024
#> 4611 162.424288
#> 4612 162.375664
#> 4613 157.680454
#> 4614 142.712365
#> 4615 127.551522
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#> 4617 80.702370
#> 4618 64.180095
#> 4619 51.069669
#> 4620 51.219036
#> 4621 51.256822
#> 4622 81.830026
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#> 4624 122.559713
#> 4625 135.610928
#> 4626 152.113306
#> 4627 160.150456
#> 4628 163.108834
#> 4629 163.040887
#> 4630 158.308651
#> 4631 143.272577
#> 4632 128.051108
#> 4633 101.874494
#> 4634 81.018334
#> 4635 64.431371
#> 4636 51.240263
#> 4637 25.772298
#> 4638 12.962681
#> 4639 6.519835
#> 4640 3.279274
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#> 4642 331.582335
#> 4643 440.841683
#> 4644 523.337182
#> 4645 630.546678
#> 4646 686.733453
#> 4647 712.222901
#> 4648 719.335977
#> 4649 705.353294
#> 4650 641.596816
#> 4651 573.864467
#> 4652 456.613155
#> 4653 363.134554
#> 4654 288.789680
#> 4655 229.665439
#> 4656 115.514785
#> 4657 58.100404
#> 4658 29.222749
#> 4659 14.706572
#> 4660 233.517452
#> 4661 288.871929
#> 4662 302.875429
#> 4663 486.308034
#> 4664 625.739342
#> 4665 730.818031
#> 4666 809.189859
#> 4667 908.330468
#> 4668 956.676147
#> 4669 974.545727
#> 4670 974.253982
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#> 4672 856.274189
#> 4673 765.309134
#> 4674 608.863137
#> 4675 484.214223
#> 4676 385.080569
#> 4677 306.418016
#> 4678 307.314214
#> 4679 307.540933
#> 4680 490.980157
#> 4681 630.345055
#> 4682 735.358279
#> 4683 813.665567
#> 4684 912.679835
#> 4685 960.902737
#> 4686 978.653007
#> 4687 978.245320
#> 4688 949.851904
#> 4689 859.635463
#> 4690 768.306646
#> 4691 611.246965
#> 4692 486.110007
#> 4693 386.588227
#> 4694 307.441578
#> 4695 154.633802
#> 4696 77.776097
#> 4697 39.119005
#> 4698 19.675644
#> 4699 375.818919
#> 4700 663.164653
#> 4701 881.683366
#> 4702 1046.674370
#> 4703 1261.093082
#> 4704 1373.466613
#> 4705 1424.445564
#> 4706 1438.671761
#> 4707 1410.706485
#> 4708 1283.193611
#> 4709 1147.728930
#> 4710 913.226310
#> 4711 726.269108
#> 4712 577.579360
#> 4713 459.330878
#> 4714 231.029519
#> 4715 116.200824
#> 4716 58.445428
#> 4717 29.413101
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#> 4719 577.743856
#> 4720 605.750858
#> 4721 972.616067
#> 4722 1251.478684
#> 4723 1461.636061
#> 4724 1618.379717
#> 4725 1816.660936
#> 4726 1913.352294
#> 4727 1949.091453
#> 4728 1948.507964
#> 4729 1892.165445
#> 4730 1712.548377
#> 4731 1530.618268
#> 4732 1217.726274
#> 4733 968.428445
#> 4734 770.161138
#> 4735 612.836031
#> 4736 614.628429
#> 4737 615.081867
#> 4738 981.960314
#> 4739 1260.690109
#> 4740 1470.716559
#> 4741 1627.331135
#> 4742 1825.359669
#> 4743 1921.805474
#> 4744 1957.306013
#> 4745 1956.490640
#> 4746 1899.703807
#> 4747 1719.270926
#> 4748 1536.613293
#> 4749 1222.493930
#> 4750 972.220014
#> 4751 773.176454
#> 4752 614.883155
#> 4753 309.267628
#> 4754 155.552206
#> 4755 78.238009
#> 4756 39.351289
#> 4757 93.954729
#> 4758 165.791161
#> 4759 220.420849
#> 4760 261.668599
#> 4761 315.273327
#> 4762 343.366720
#> 4763 356.111447
#> 4764 359.667986
#> 4765 352.676646
#> 4766 320.798408
#> 4767 286.932234
#> 4768 228.306578
#> 4769 181.567277
#> 4770 144.394840
#> 4771 114.832720
#> 4772 57.757344
#> 4773 29.050204
#> 4774 14.611368
#> 4775 7.353273
#> 4776 116.758723
#> 4777 144.435964
#> 4778 151.437714
#> 4779 243.154017
#> 4780 312.869671
#> 4781 365.409015
#> 4782 404.594929
#> 4783 454.165234
#> 4784 478.338073
#> 4785 487.272863
#> 4786 487.126991
#> 4787 473.041361
#> 4788 428.137094
#> 4789 382.654567
#> 4790 304.431568
#> 4791 242.107111
#> 4792 192.540284
#> 4793 153.209008
#> 4794 153.657107
#> 4795 153.770467
#> 4796 245.490079
#> 4797 315.172527
#> 4798 367.679140
#> 4799 406.832784
#> 4800 456.339917
#> 4801 480.451368
#> 4802 489.326503
#> 4803 489.122660
#> 4804 474.925952
#> 4805 429.817732
#> 4806 384.153323
#> 4807 305.623483
#> 4808 243.055003
#> 4809 193.294114
#> 4810 153.720789
#> 4811 77.316894
#> 4812 38.888046
#> 4813 19.559490
#> 4814 9.837829
#> 4815 375.818919
#> 4816 663.164653
#> 4817 881.683366
#> 4818 1046.674370
#> 4819 1261.093082
#> 4820 1373.466613
#> 4821 1424.445564
#> 4822 1438.671761
#> 4823 1410.706485
#> 4824 1283.193611
#> 4825 1147.728930
#> 4826 913.226310
#> 4827 726.269108
#> 4828 577.579360
#> 4829 459.330878
#> 4830 231.029519
#> 4831 116.200824
#> 4832 58.445428
#> 4833 29.413101
#> 4834 467.034893
#> 4835 577.743856
#> 4836 605.750858
#> 4837 972.616067
#> 4838 1251.478684
#> 4839 1461.636061
#> 4840 1618.379717
#> 4841 1816.660936
#> 4842 1913.352294
#> 4843 1949.091453
#> 4844 1948.507964
#> 4845 1892.165445
#> 4846 1712.548377
#> 4847 1530.618268
#> 4848 1217.726274
#> 4849 968.428445
#> 4850 770.161138
#> 4851 612.836031
#> 4852 614.628429
#> 4853 615.081867
#> 4854 981.960314
#> 4855 1260.690109
#> 4856 1470.716559
#> 4857 1627.331135
#> 4858 1825.359669
#> 4859 1921.805474
#> 4860 1957.306013
#> 4861 1956.490640
#> 4862 1899.703807
#> 4863 1719.270926
#> 4864 1536.613293
#> 4865 1222.493930
#> 4866 972.220014
#> 4867 773.176454
#> 4868 614.883155
#> 4869 309.267628
#> 4870 155.552206
#> 4871 78.238009
#> 4872 39.351289
#> 4873 187.909454
#> 4874 331.582335
#> 4875 440.841683
#> 4876 523.337182
#> 4877 630.546678
#> 4878 686.733453
#> 4879 712.222901
#> 4880 719.335977
#> 4881 705.353294
#> 4882 641.596816
#> 4883 573.864467
#> 4884 456.613155
#> 4885 363.134554
#> 4886 288.789680
#> 4887 229.665439
#> 4888 115.514785
#> 4889 58.100404
#> 4890 29.222749
#> 4891 14.706572
#> 4892 233.517452
#> 4893 288.871929
#> 4894 302.875429
#> 4895 486.308034
#> 4896 625.739342
#> 4897 730.818031
#> 4898 809.189859
#> 4899 908.330468
#> 4900 956.676147
#> 4901 974.545727
#> 4902 974.253982
#> 4903 946.082723
#> 4904 856.274189
#> 4905 765.309134
#> 4906 608.863137
#> 4907 484.214223
#> 4908 385.080569
#> 4909 306.418016
#> 4910 307.314214
#> 4911 307.540933
#> 4912 490.980157
#> 4913 630.345055
#> 4914 735.358279
#> 4915 813.665567
#> 4916 912.679835
#> 4917 960.902737
#> 4918 978.653007
#> 4919 978.245320
#> 4920 949.851904
#> 4921 859.635463
#> 4922 768.306646
#> 4923 611.246965
#> 4924 486.110007
#> 4925 386.588227
#> 4926 307.441578
#> 4927 154.633802
#> 4928 77.776097
#> 4929 39.119005
#> 4930 19.675644
#> 4931 31.318243
#> 4932 55.263721
#> 4933 73.473612
#> 4934 87.222870
#> 4935 105.091116
#> 4936 114.455575
#> 4937 118.703817
#> 4938 119.889329
#> 4939 117.558882
#> 4940 106.932803
#> 4941 95.644078
#> 4942 76.102193
#> 4943 60.522426
#> 4944 48.131613
#> 4945 38.277573
#> 4946 19.252460
#> 4947 9.683400
#> 4948 4.870456
#> 4949 2.451091
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#> 4951 48.145321
#> 4952 50.479238
#> 4953 81.051339
#> 4954 104.289890
#> 4955 121.803005
#> 4956 134.864976
#> 4957 151.388411
#> 4958 159.446024
#> 4959 162.424288
#> 4960 162.375664
#> 4961 157.680454
#> 4962 142.712365
#> 4963 127.551522
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#> 4965 80.702370
#> 4966 64.180095
#> 4967 51.069669
#> 4968 51.219036
#> 4969 51.256822
#> 4970 81.830026
#> 4971 105.057509
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#> 4973 135.610928
#> 4974 152.113306
#> 4975 160.150456
#> 4976 163.108834
#> 4977 163.040887
#> 4978 158.308651
#> 4979 143.272577
#> 4980 128.051108
#> 4981 101.874494
#> 4982 81.018334
#> 4983 64.431371
#> 4984 51.240263
#> 4985 25.772298
#> 4986 12.962681
#> 4987 6.519835
#> 4988 3.279274
#> 4989 31.318243
#> 4990 55.263721
#> 4991 73.473612
#> 4992 87.222870
#> 4993 105.091116
#> 4994 114.455575
#> 4995 118.703817
#> 4996 119.889329
#> 4997 117.558882
#> 4998 106.932803
#> 4999 95.644078
#> 5000 76.102193
#> 5001 60.522426
#> 5002 48.131613
#> 5003 38.277573
#> 5004 19.252460
#> 5005 9.683400
#> 5006 4.870456
#> 5007 2.451091
#> 5008 38.919574
#> 5009 48.145321
#> 5010 50.479238
#> 5011 81.051339
#> 5012 104.289890
#> 5013 121.803005
#> 5014 134.864976
#> 5015 151.388411
#> 5016 159.446024
#> 5017 162.424288
#> 5018 162.375664
#> 5019 157.680454
#> 5020 142.712365
#> 5021 127.551522
#> 5022 101.477189
#> 5023 80.702370
#> 5024 64.180095
#> 5025 51.069669
#> 5026 51.219036
#> 5027 51.256822
#> 5028 81.830026
#> 5029 105.057509
#> 5030 122.559713
#> 5031 135.610928
#> 5032 152.113306
#> 5033 160.150456
#> 5034 163.108834
#> 5035 163.040887
#> 5036 158.308651
#> 5037 143.272577
#> 5038 128.051108
#> 5039 101.874494
#> 5040 81.018334
#> 5041 64.431371
#> 5042 51.240263
#> 5043 25.772298
#> 5044 12.962681
#> 5045 6.519835
#> 5046 3.279274
#> 5047 93.954729
#> 5048 165.791161
#> 5049 220.420849
#> 5050 261.668599
#> 5051 315.273327
#> 5052 343.366720
#> 5053 356.111447
#> 5054 359.667986
#> 5055 352.676646
#> 5056 320.798408
#> 5057 286.932234
#> 5058 228.306578
#> 5059 181.567277
#> 5060 144.394840
#> 5061 114.832720
#> 5062 57.757344
#> 5063 29.050204
#> 5064 14.611368
#> 5065 7.353273
#> 5066 116.758723
#> 5067 144.435964
#> 5068 151.437714
#> 5069 243.154017
#> 5070 312.869671
#> 5071 365.409015
#> 5072 404.594929
#> 5073 454.165234
#> 5074 478.338073
#> 5075 487.272863
#> 5076 487.126991
#> 5077 473.041361
#> 5078 428.137094
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#> 5080 304.431568
#> 5081 242.107111
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#> 5085 153.770467
#> 5086 245.490079
#> 5087 315.172527
#> 5088 367.679140
#> 5089 406.832784
#> 5090 456.339917
#> 5091 480.451368
#> 5092 489.326503
#> 5093 489.122660
#> 5094 474.925952
#> 5095 429.817732
#> 5096 384.153323
#> 5097 305.623483
#> 5098 243.055003
#> 5099 193.294114
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#> 5101 77.316894
#> 5102 38.888046
#> 5103 19.559490
#> 5104 9.837829
#> 5105 375.818919
#> 5106 663.164653
#> 5107 881.683366
#> 5108 1046.674370
#> 5109 1261.093082
#> 5110 1373.466613
#> 5111 1424.445564
#> 5112 1438.671761
#> 5113 1410.706485
#> 5114 1283.193611
#> 5115 1147.728930
#> 5116 913.226310
#> 5117 726.269108
#> 5118 577.579360
#> 5119 459.330878
#> 5120 231.029519
#> 5121 116.200824
#> 5122 58.445428
#> 5123 29.413101
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#> 5125 577.743856
#> 5126 605.750858
#> 5127 972.616067
#> 5128 1251.478684
#> 5129 1461.636061
#> 5130 1618.379717
#> 5131 1816.660936
#> 5132 1913.352294
#> 5133 1949.091453
#> 5134 1948.507964
#> 5135 1892.165445
#> 5136 1712.548377
#> 5137 1530.618268
#> 5138 1217.726274
#> 5139 968.428445
#> 5140 770.161138
#> 5141 612.836031
#> 5142 614.628429
#> 5143 615.081867
#> 5144 981.960314
#> 5145 1260.690109
#> 5146 1470.716559
#> 5147 1627.331135
#> 5148 1825.359669
#> 5149 1921.805474
#> 5150 1957.306013
#> 5151 1956.490640
#> 5152 1899.703807
#> 5153 1719.270926
#> 5154 1536.613293
#> 5155 1222.493930
#> 5156 972.220014
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#> 5158 614.883155
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#> 5160 155.552206
#> 5161 78.238009
#> 5162 39.351289
#> 5163 93.954729
#> 5164 165.791161
#> 5165 220.420849
#> 5166 261.668599
#> 5167 315.273327
#> 5168 343.366720
#> 5169 356.111447
#> 5170 359.667986
#> 5171 352.676646
#> 5172 320.798408
#> 5173 286.932234
#> 5174 228.306578
#> 5175 181.567277
#> 5176 144.394840
#> 5177 114.832720
#> 5178 57.757344
#> 5179 29.050204
#> 5180 14.611368
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#> 5182 116.758723
#> 5183 144.435964
#> 5184 151.437714
#> 5185 243.154017
#> 5186 312.869671
#> 5187 365.409015
#> 5188 404.594929
#> 5189 454.165234
#> 5190 478.338073
#> 5191 487.272863
#> 5192 487.126991
#> 5193 473.041361
#> 5194 428.137094
#> 5195 382.654567
#> 5196 304.431568
#> 5197 242.107111
#> 5198 192.540284
#> 5199 153.209008
#> 5200 153.657107
#> 5201 153.770467
#> 5202 245.490079
#> 5203 315.172527
#> 5204 367.679140
#> 5205 406.832784
#> 5206 456.339917
#> 5207 480.451368
#> 5208 489.326503
#> 5209 489.122660
#> 5210 474.925952
#> 5211 429.817732
#> 5212 384.153323
#> 5213 305.623483
#> 5214 243.055003
#> 5215 193.294114
#> 5216 153.720789
#> 5217 77.316894
#> 5218 38.888046
#> 5219 19.559490
#> 5220 9.837829
#> 5221 187.909454
#> 5222 331.582335
#> 5223 440.841683
#> 5224 523.337182
#> 5225 630.546678
#> 5226 686.733453
#> 5227 712.222901
#> 5228 719.335977
#> 5229 705.353294
#> 5230 641.596816
#> 5231 573.864467
#> 5232 456.613155
#> 5233 363.134554
#> 5234 288.789680
#> 5235 229.665439
#> 5236 115.514785
#> 5237 58.100404
#> 5238 29.222749
#> 5239 14.706572
#> 5240 233.517452
#> 5241 288.871929
#> 5242 302.875429
#> 5243 486.308034
#> 5244 625.739342
#> 5245 730.818031
#> 5246 809.189859
#> 5247 908.330468
#> 5248 956.676147
#> 5249 974.545727
#> 5250 974.253982
#> 5251 946.082723
#> 5252 856.274189
#> 5253 765.309134
#> 5254 608.863137
#> 5255 484.214223
#> 5256 385.080569
#> 5257 306.418016
#> 5258 307.314214
#> 5259 307.540933
#> 5260 490.980157
#> 5261 630.345055
#> 5262 735.358279
#> 5263 813.665567
#> 5264 912.679835
#> 5265 960.902737
#> 5266 978.653007
#> 5267 978.245320
#> 5268 949.851904
#> 5269 859.635463
#> 5270 768.306646
#> 5271 611.246965
#> 5272 486.110007
#> 5273 386.588227
#> 5274 307.441578
#> 5275 154.633802
#> 5276 77.776097
#> 5277 39.119005
#> 5278 19.675644
#> 5279 31.318243
#> 5280 55.263721
#> 5281 73.473612
#> 5282 87.222870
#> 5283 105.091116
#> 5284 114.455575
#> 5285 118.703817
#> 5286 119.889329
#> 5287 117.558882
#> 5288 106.932803
#> 5289 95.644078
#> 5290 76.102193
#> 5291 60.522426
#> 5292 48.131613
#> 5293 38.277573
#> 5294 19.252460
#> 5295 9.683400
#> 5296 4.870456
#> 5297 2.451091
#> 5298 38.919574
#> 5299 48.145321
#> 5300 50.479238
#> 5301 81.051339
#> 5302 104.289890
#> 5303 121.803005
#> 5304 134.864976
#> 5305 151.388411
#> 5306 159.446024
#> 5307 162.424288
#> 5308 162.375664
#> 5309 157.680454
#> 5310 142.712365
#> 5311 127.551522
#> 5312 101.477189
#> 5313 80.702370
#> 5314 64.180095
#> 5315 51.069669
#> 5316 51.219036
#> 5317 51.256822
#> 5318 81.830026
#> 5319 105.057509
#> 5320 122.559713
#> 5321 135.610928
#> 5322 152.113306
#> 5323 160.150456
#> 5324 163.108834
#> 5325 163.040887
#> 5326 158.308651
#> 5327 143.272577
#> 5328 128.051108
#> 5329 101.874494
#> 5330 81.018334
#> 5331 64.431371
#> 5332 51.240263
#> 5333 25.772298
#> 5334 12.962681
#> 5335 6.519835
#> 5336 3.279274
#> 5337 375.818919
#> 5338 663.164653
#> 5339 881.683366
#> 5340 1046.674370
#> 5341 1261.093082
#> 5342 1373.466613
#> 5343 1424.445564
#> 5344 1438.671761
#> 5345 1410.706485
#> 5346 1283.193611
#> 5347 1147.728930
#> 5348 913.226310
#> 5349 726.269108
#> 5350 577.579360
#> 5351 459.330878
#> 5352 231.029519
#> 5353 116.200824
#> 5354 58.445428
#> 5355 29.413101
#> 5356 467.034893
#> 5357 577.743856
#> 5358 605.750858
#> 5359 972.616067
#> 5360 1251.478684
#> 5361 1461.636061
#> 5362 1618.379717
#> 5363 1816.660936
#> 5364 1913.352294
#> 5365 1949.091453
#> 5366 1948.507964
#> 5367 1892.165445
#> 5368 1712.548377
#> 5369 1530.618268
#> 5370 1217.726274
#> 5371 968.428445
#> 5372 770.161138
#> 5373 612.836031
#> 5374 614.628429
#> 5375 615.081867
#> 5376 981.960314
#> 5377 1260.690109
#> 5378 1470.716559
#> 5379 1627.331135
#> 5380 1825.359669
#> 5381 1921.805474
#> 5382 1957.306013
#> 5383 1956.490640
#> 5384 1899.703807
#> 5385 1719.270926
#> 5386 1536.613293
#> 5387 1222.493930
#> 5388 972.220014
#> 5389 773.176454
#> 5390 614.883155
#> 5391 309.267628
#> 5392 155.552206
#> 5393 78.238009
#> 5394 39.351289
#> 5395 187.909454
#> 5396 331.582335
#> 5397 440.841683
#> 5398 523.337182
#> 5399 630.546678
#> 5400 686.733453
#> 5401 712.222901
#> 5402 719.335977
#> 5403 705.353294
#> 5404 641.596816
#> 5405 573.864467
#> 5406 456.613155
#> 5407 363.134554
#> 5408 288.789680
#> 5409 229.665439
#> 5410 115.514785
#> 5411 58.100404
#> 5412 29.222749
#> 5413 14.706572
#> 5414 233.517452
#> 5415 288.871929
#> 5416 302.875429
#> 5417 486.308034
#> 5418 625.739342
#> 5419 730.818031
#> 5420 809.189859
#> 5421 908.330468
#> 5422 956.676147
#> 5423 974.545727
#> 5424 974.253982
#> 5425 946.082723
#> 5426 856.274189
#> 5427 765.309134
#> 5428 608.863137
#> 5429 484.214223
#> 5430 385.080569
#> 5431 306.418016
#> 5432 307.314214
#> 5433 307.540933
#> 5434 490.980157
#> 5435 630.345055
#> 5436 735.358279
#> 5437 813.665567
#> 5438 912.679835
#> 5439 960.902737
#> 5440 978.653007
#> 5441 978.245320
#> 5442 949.851904
#> 5443 859.635463
#> 5444 768.306646
#> 5445 611.246965
#> 5446 486.110007
#> 5447 386.588227
#> 5448 307.441578
#> 5449 154.633802
#> 5450 77.776097
#> 5451 39.119005
#> 5452 19.675644
#> 5453 31.318243
#> 5454 55.263721
#> 5455 73.473612
#> 5456 87.222870
#> 5457 105.091116
#> 5458 114.455575
#> 5459 118.703817
#> 5460 119.889329
#> 5461 117.558882
#> 5462 106.932803
#> 5463 95.644078
#> 5464 76.102193
#> 5465 60.522426
#> 5466 48.131613
#> 5467 38.277573
#> 5468 19.252460
#> 5469 9.683400
#> 5470 4.870456
#> 5471 2.451091
#> 5472 38.919574
#> 5473 48.145321
#> 5474 50.479238
#> 5475 81.051339
#> 5476 104.289890
#> 5477 121.803005
#> 5478 134.864976
#> 5479 151.388411
#> 5480 159.446024
#> 5481 162.424288
#> 5482 162.375664
#> 5483 157.680454
#> 5484 142.712365
#> 5485 127.551522
#> 5486 101.477189
#> 5487 80.702370
#> 5488 64.180095
#> 5489 51.069669
#> 5490 51.219036
#> 5491 51.256822
#> 5492 81.830026
#> 5493 105.057509
#> 5494 122.559713
#> 5495 135.610928
#> 5496 152.113306
#> 5497 160.150456
#> 5498 163.108834
#> 5499 163.040887
#> 5500 158.308651
#> 5501 143.272577
#> 5502 128.051108
#> 5503 101.874494
#> 5504 81.018334
#> 5505 64.431371
#> 5506 51.240263
#> 5507 25.772298
#> 5508 12.962681
#> 5509 6.519835
#> 5510 3.279274
#> 5511 93.954729
#> 5512 165.791161
#> 5513 220.420849
#> 5514 261.668599
#> 5515 315.273327
#> 5516 343.366720
#> 5517 356.111447
#> 5518 359.667986
#> 5519 352.676646
#> 5520 320.798408
#> 5521 286.932234
#> 5522 228.306578
#> 5523 181.567277
#> 5524 144.394840
#> 5525 114.832720
#> 5526 57.757344
#> 5527 29.050204
#> 5528 14.611368
#> 5529 7.353273
#> 5530 116.758723
#> 5531 144.435964
#> 5532 151.437714
#> 5533 243.154017
#> 5534 312.869671
#> 5535 365.409015
#> 5536 404.594929
#> 5537 454.165234
#> 5538 478.338073
#> 5539 487.272863
#> 5540 487.126991
#> 5541 473.041361
#> 5542 428.137094
#> 5543 382.654567
#> 5544 304.431568
#> 5545 242.107111
#> 5546 192.540284
#> 5547 153.209008
#> 5548 153.657107
#> 5549 153.770467
#> 5550 245.490079
#> 5551 315.172527
#> 5552 367.679140
#> 5553 406.832784
#> 5554 456.339917
#> 5555 480.451368
#> 5556 489.326503
#> 5557 489.122660
#> 5558 474.925952
#> 5559 429.817732
#> 5560 384.153323
#> 5561 305.623483
#> 5562 243.055003
#> 5563 193.294114
#> 5564 153.720789
#> 5565 77.316894
#> 5566 38.888046
#> 5567 19.559490
#> 5568 9.837829
#> 5569 187.909454
#> 5570 331.582335
#> 5571 440.841683
#> 5572 523.337182
#> 5573 630.546678
#> 5574 686.733453
#> 5575 712.222901
#> 5576 719.335977
#> 5577 705.353294
#> 5578 641.596816
#> 5579 573.864467
#> 5580 456.613155
#> 5581 363.134554
#> 5582 288.789680
#> 5583 229.665439
#> 5584 115.514785
#> 5585 58.100404
#> 5586 29.222749
#> 5587 14.706572
#> 5588 233.517452
#> 5589 288.871929
#> 5590 302.875429
#> 5591 486.308034
#> 5592 625.739342
#> 5593 730.818031
#> 5594 809.189859
#> 5595 908.330468
#> 5596 956.676147
#> 5597 974.545727
#> 5598 974.253982
#> 5599 946.082723
#> 5600 856.274189
#> 5601 765.309134
#> 5602 608.863137
#> 5603 484.214223
#> 5604 385.080569
#> 5605 306.418016
#> 5606 307.314214
#> 5607 307.540933
#> 5608 490.980157
#> 5609 630.345055
#> 5610 735.358279
#> 5611 813.665567
#> 5612 912.679835
#> 5613 960.902737
#> 5614 978.653007
#> 5615 978.245320
#> 5616 949.851904
#> 5617 859.635463
#> 5618 768.306646
#> 5619 611.246965
#> 5620 486.110007
#> 5621 386.588227
#> 5622 307.441578
#> 5623 154.633802
#> 5624 77.776097
#> 5625 39.119005
#> 5626 19.675644
#> 5627 375.818919
#> 5628 663.164653
#> 5629 881.683366
#> 5630 1046.674370
#> 5631 1261.093082
#> 5632 1373.466613
#> 5633 1424.445564
#> 5634 1438.671761
#> 5635 1410.706485
#> 5636 1283.193611
#> 5637 1147.728930
#> 5638 913.226310
#> 5639 726.269108
#> 5640 577.579360
#> 5641 459.330878
#> 5642 231.029519
#> 5643 116.200824
#> 5644 58.445428
#> 5645 29.413101
#> 5646 467.034893
#> 5647 577.743856
#> 5648 605.750858
#> 5649 972.616067
#> 5650 1251.478684
#> 5651 1461.636061
#> 5652 1618.379717
#> 5653 1816.660936
#> 5654 1913.352294
#> 5655 1949.091453
#> 5656 1948.507964
#> 5657 1892.165445
#> 5658 1712.548377
#> 5659 1530.618268
#> 5660 1217.726274
#> 5661 968.428445
#> 5662 770.161138
#> 5663 612.836031
#> 5664 614.628429
#> 5665 615.081867
#> 5666 981.960314
#> 5667 1260.690109
#> 5668 1470.716559
#> 5669 1627.331135
#> 5670 1825.359669
#> 5671 1921.805474
#> 5672 1957.306013
#> 5673 1956.490640
#> 5674 1899.703807
#> 5675 1719.270926
#> 5676 1536.613293
#> 5677 1222.493930
#> 5678 972.220014
#> 5679 773.176454
#> 5680 614.883155
#> 5681 309.267628
#> 5682 155.552206
#> 5683 78.238009
#> 5684 39.351289
#> 5685 93.954729
#> 5686 165.791161
#> 5687 220.420849
#> 5688 261.668599
#> 5689 315.273327
#> 5690 343.366720
#> 5691 356.111447
#> 5692 359.667986
#> 5693 352.676646
#> 5694 320.798408
#> 5695 286.932234
#> 5696 228.306578
#> 5697 181.567277
#> 5698 144.394840
#> 5699 114.832720
#> 5700 57.757344
#> 5701 29.050204
#> 5702 14.611368
#> 5703 7.353273
#> 5704 116.758723
#> 5705 144.435964
#> 5706 151.437714
#> 5707 243.154017
#> 5708 312.869671
#> 5709 365.409015
#> 5710 404.594929
#> 5711 454.165234
#> 5712 478.338073
#> 5713 487.272863
#> 5714 487.126991
#> 5715 473.041361
#> 5716 428.137094
#> 5717 382.654567
#> 5718 304.431568
#> 5719 242.107111
#> 5720 192.540284
#> 5721 153.209008
#> 5722 153.657107
#> 5723 153.770467
#> 5724 245.490079
#> 5725 315.172527
#> 5726 367.679140
#> 5727 406.832784
#> 5728 456.339917
#> 5729 480.451368
#> 5730 489.326503
#> 5731 489.122660
#> 5732 474.925952
#> 5733 429.817732
#> 5734 384.153323
#> 5735 305.623483
#> 5736 243.055003
#> 5737 193.294114
#> 5738 153.720789
#> 5739 77.316894
#> 5740 38.888046
#> 5741 19.559490
#> 5742 9.837829
#> 5743 375.818919
#> 5744 663.164653
#> 5745 881.683366
#> 5746 1046.674370
#> 5747 1261.093082
#> 5748 1373.466613
#> 5749 1424.445564
#> 5750 1438.671761
#> 5751 1410.706485
#> 5752 1283.193611
#> 5753 1147.728930
#> 5754 913.226310
#> 5755 726.269108
#> 5756 577.579360
#> 5757 459.330878
#> 5758 231.029519
#> 5759 116.200824
#> 5760 58.445428
#> 5761 29.413101
#> 5762 467.034893
#> 5763 577.743856
#> 5764 605.750858
#> 5765 972.616067
#> 5766 1251.478684
#> 5767 1461.636061
#> 5768 1618.379717
#> 5769 1816.660936
#> 5770 1913.352294
#> 5771 1949.091453
#> 5772 1948.507964
#> 5773 1892.165445
#> 5774 1712.548377
#> 5775 1530.618268
#> 5776 1217.726274
#> 5777 968.428445
#> 5778 770.161138
#> 5779 612.836031
#> 5780 614.628429
#> 5781 615.081867
#> 5782 981.960314
#> 5783 1260.690109
#> 5784 1470.716559
#> 5785 1627.331135
#> 5786 1825.359669
#> 5787 1921.805474
#> 5788 1957.306013
#> 5789 1956.490640
#> 5790 1899.703807
#> 5791 1719.270926
#> 5792 1536.613293
#> 5793 1222.493930
#> 5794 972.220014
#> 5795 773.176454
#> 5796 614.883155
#> 5797 309.267628
#> 5798 155.552206
#> 5799 78.238009
#> 5800 39.351289
#> 5801 93.954729
#> 5802 165.791161
#> 5803 220.420849
#> 5804 261.668599
#> 5805 315.273327
#> 5806 343.366720
#> 5807 356.111447
#> 5808 359.667986
#> 5809 352.676646
#> 5810 320.798408
#> 5811 286.932234
#> 5812 228.306578
#> 5813 181.567277
#> 5814 144.394840
#> 5815 114.832720
#> 5816 57.757344
#> 5817 29.050204
#> 5818 14.611368
#> 5819 7.353273
#> 5820 116.758723
#> 5821 144.435964
#> 5822 151.437714
#> 5823 243.154017
#> 5824 312.869671
#> 5825 365.409015
#> 5826 404.594929
#> 5827 454.165234
#> 5828 478.338073
#> 5829 487.272863
#> 5830 487.126991
#> 5831 473.041361
#> 5832 428.137094
#> 5833 382.654567
#> 5834 304.431568
#> 5835 242.107111
#> 5836 192.540284
#> 5837 153.209008
#> 5838 153.657107
#> 5839 153.770467
#> 5840 245.490079
#> 5841 315.172527
#> 5842 367.679140
#> 5843 406.832784
#> 5844 456.339917
#> 5845 480.451368
#> 5846 489.326503
#> 5847 489.122660
#> 5848 474.925952
#> 5849 429.817732
#> 5850 384.153323
#> 5851 305.623483
#> 5852 243.055003
#> 5853 193.294114
#> 5854 153.720789
#> 5855 77.316894
#> 5856 38.888046
#> 5857 19.559490
#> 5858 9.837829
#> 5859 187.909454
#> 5860 331.582335
#> 5861 440.841683
#> 5862 523.337182
#> 5863 630.546678
#> 5864 686.733453
#> 5865 712.222901
#> 5866 719.335977
#> 5867 705.353294
#> 5868 641.596816
#> 5869 573.864467
#> 5870 456.613155
#> 5871 363.134554
#> 5872 288.789680
#> 5873 229.665439
#> 5874 115.514785
#> 5875 58.100404
#> 5876 29.222749
#> 5877 14.706572
#> 5878 233.517452
#> 5879 288.871929
#> 5880 302.875429
#> 5881 486.308034
#> 5882 625.739342
#> 5883 730.818031
#> 5884 809.189859
#> 5885 908.330468
#> 5886 956.676147
#> 5887 974.545727
#> 5888 974.253982
#> 5889 946.082723
#> 5890 856.274189
#> 5891 765.309134
#> 5892 608.863137
#> 5893 484.214223
#> 5894 385.080569
#> 5895 306.418016
#> 5896 307.314214
#> 5897 307.540933
#> 5898 490.980157
#> 5899 630.345055
#> 5900 735.358279
#> 5901 813.665567
#> 5902 912.679835
#> 5903 960.902737
#> 5904 978.653007
#> 5905 978.245320
#> 5906 949.851904
#> 5907 859.635463
#> 5908 768.306646
#> 5909 611.246965
#> 5910 486.110007
#> 5911 386.588227
#> 5912 307.441578
#> 5913 154.633802
#> 5914 77.776097
#> 5915 39.119005
#> 5916 19.675644
#> 5917 31.318243
#> 5918 55.263721
#> 5919 73.473612
#> 5920 87.222870
#> 5921 105.091116
#> 5922 114.455575
#> 5923 118.703817
#> 5924 119.889329
#> 5925 117.558882
#> 5926 106.932803
#> 5927 95.644078
#> 5928 76.102193
#> 5929 60.522426
#> 5930 48.131613
#> 5931 38.277573
#> 5932 19.252460
#> 5933 9.683400
#> 5934 4.870456
#> 5935 2.451091
#> 5936 38.919574
#> 5937 48.145321
#> 5938 50.479238
#> 5939 81.051339
#> 5940 104.289890
#> 5941 121.803005
#> 5942 134.864976
#> 5943 151.388411
#> 5944 159.446024
#> 5945 162.424288
#> 5946 162.375664
#> 5947 157.680454
#> 5948 142.712365
#> 5949 127.551522
#> 5950 101.477189
#> 5951 80.702370
#> 5952 64.180095
#> 5953 51.069669
#> 5954 51.219036
#> 5955 51.256822
#> 5956 81.830026
#> 5957 105.057509
#> 5958 122.559713
#> 5959 135.610928
#> 5960 152.113306
#> 5961 160.150456
#> 5962 163.108834
#> 5963 163.040887
#> 5964 158.308651
#> 5965 143.272577
#> 5966 128.051108
#> 5967 101.874494
#> 5968 81.018334
#> 5969 64.431371
#> 5970 51.240263
#> 5971 25.772298
#> 5972 12.962681
#> 5973 6.519835
#> 5974 3.279274
#> 5975 31.318243
#> 5976 55.263721
#> 5977 73.473612
#> 5978 87.222870
#> 5979 105.091116
#> 5980 114.455575
#> 5981 118.703817
#> 5982 119.889329
#> 5983 117.558882
#> 5984 106.932803
#> 5985 95.644078
#> 5986 76.102193
#> 5987 60.522426
#> 5988 48.131613
#> 5989 38.277573
#> 5990 19.252460
#> 5991 9.683400
#> 5992 4.870456
#> 5993 2.451091
#> 5994 38.919574
#> 5995 48.145321
#> 5996 50.479238
#> 5997 81.051339
#> 5998 104.289890
#> 5999 121.803005
#> 6000 134.864976
#> 6001 151.388411
#> 6002 159.446024
#> 6003 162.424288
#> 6004 162.375664
#> 6005 157.680454
#> 6006 142.712365
#> 6007 127.551522
#> 6008 101.477189
#> 6009 80.702370
#> 6010 64.180095
#> 6011 51.069669
#> 6012 51.219036
#> 6013 51.256822
#> 6014 81.830026
#> 6015 105.057509
#> 6016 122.559713
#> 6017 135.610928
#> 6018 152.113306
#> 6019 160.150456
#> 6020 163.108834
#> 6021 163.040887
#> 6022 158.308651
#> 6023 143.272577
#> 6024 128.051108
#> 6025 101.874494
#> 6026 81.018334
#> 6027 64.431371
#> 6028 51.240263
#> 6029 25.772298
#> 6030 12.962681
#> 6031 6.519835
#> 6032 3.279274
#> 6033 187.909454
#> 6034 331.582335
#> 6035 440.841683
#> 6036 523.337182
#> 6037 630.546678
#> 6038 686.733453
#> 6039 712.222901
#> 6040 719.335977
#> 6041 705.353294
#> 6042 641.596816
#> 6043 573.864467
#> 6044 456.613155
#> 6045 363.134554
#> 6046 288.789680
#> 6047 229.665439
#> 6048 115.514785
#> 6049 58.100404
#> 6050 29.222749
#> 6051 14.706572
#> 6052 233.517452
#> 6053 288.871929
#> 6054 302.875429
#> 6055 486.308034
#> 6056 625.739342
#> 6057 730.818031
#> 6058 809.189859
#> 6059 908.330468
#> 6060 956.676147
#> 6061 974.545727
#> 6062 974.253982
#> 6063 946.082723
#> 6064 856.274189
#> 6065 765.309134
#> 6066 608.863137
#> 6067 484.214223
#> 6068 385.080569
#> 6069 306.418016
#> 6070 307.314214
#> 6071 307.540933
#> 6072 490.980157
#> 6073 630.345055
#> 6074 735.358279
#> 6075 813.665567
#> 6076 912.679835
#> 6077 960.902737
#> 6078 978.653007
#> 6079 978.245320
#> 6080 949.851904
#> 6081 859.635463
#> 6082 768.306646
#> 6083 611.246965
#> 6084 486.110007
#> 6085 386.588227
#> 6086 307.441578
#> 6087 154.633802
#> 6088 77.776097
#> 6089 39.119005
#> 6090 19.675644
#> 6091 375.818919
#> 6092 663.164653
#> 6093 881.683366
#> 6094 1046.674370
#> 6095 1261.093082
#> 6096 1373.466613
#> 6097 1424.445564
#> 6098 1438.671761
#> 6099 1410.706485
#> 6100 1283.193611
#> 6101 1147.728930
#> 6102 913.226310
#> 6103 726.269108
#> 6104 577.579360
#> 6105 459.330878
#> 6106 231.029519
#> 6107 116.200824
#> 6108 58.445428
#> 6109 29.413101
#> 6110 467.034893
#> 6111 577.743856
#> 6112 605.750858
#> 6113 972.616067
#> 6114 1251.478684
#> 6115 1461.636061
#> 6116 1618.379717
#> 6117 1816.660936
#> 6118 1913.352294
#> 6119 1949.091453
#> 6120 1948.507964
#> 6121 1892.165445
#> 6122 1712.548377
#> 6123 1530.618268
#> 6124 1217.726274
#> 6125 968.428445
#> 6126 770.161138
#> 6127 612.836031
#> 6128 614.628429
#> 6129 615.081867
#> 6130 981.960314
#> 6131 1260.690109
#> 6132 1470.716559
#> 6133 1627.331135
#> 6134 1825.359669
#> 6135 1921.805474
#> 6136 1957.306013
#> 6137 1956.490640
#> 6138 1899.703807
#> 6139 1719.270926
#> 6140 1536.613293
#> 6141 1222.493930
#> 6142 972.220014
#> 6143 773.176454
#> 6144 614.883155
#> 6145 309.267628
#> 6146 155.552206
#> 6147 78.238009
#> 6148 39.351289
#> 6149 93.954729
#> 6150 165.791161
#> 6151 220.420849
#> 6152 261.668599
#> 6153 315.273327
#> 6154 343.366720
#> 6155 356.111447
#> 6156 359.667986
#> 6157 352.676646
#> 6158 320.798408
#> 6159 286.932234
#> 6160 228.306578
#> 6161 181.567277
#> 6162 144.394840
#> 6163 114.832720
#> 6164 57.757344
#> 6165 29.050204
#> 6166 14.611368
#> 6167 7.353273
#> 6168 116.758723
#> 6169 144.435964
#> 6170 151.437714
#> 6171 243.154017
#> 6172 312.869671
#> 6173 365.409015
#> 6174 404.594929
#> 6175 454.165234
#> 6176 478.338073
#> 6177 487.272863
#> 6178 487.126991
#> 6179 473.041361
#> 6180 428.137094
#> 6181 382.654567
#> 6182 304.431568
#> 6183 242.107111
#> 6184 192.540284
#> 6185 153.209008
#> 6186 153.657107
#> 6187 153.770467
#> 6188 245.490079
#> 6189 315.172527
#> 6190 367.679140
#> 6191 406.832784
#> 6192 456.339917
#> 6193 480.451368
#> 6194 489.326503
#> 6195 489.122660
#> 6196 474.925952
#> 6197 429.817732
#> 6198 384.153323
#> 6199 305.623483
#> 6200 243.055003
#> 6201 193.294114
#> 6202 153.720789
#> 6203 77.316894
#> 6204 38.888046
#> 6205 19.559490
#> 6206 9.837829
#> 6207 93.954729
#> 6208 165.791161
#> 6209 220.420849
#> 6210 261.668599
#> 6211 315.273327
#> 6212 343.366720
#> 6213 356.111447
#> 6214 359.667986
#> 6215 352.676646
#> 6216 320.798408
#> 6217 286.932234
#> 6218 228.306578
#> 6219 181.567277
#> 6220 144.394840
#> 6221 114.832720
#> 6222 57.757344
#> 6223 29.050204
#> 6224 14.611368
#> 6225 7.353273
#> 6226 116.758723
#> 6227 144.435964
#> 6228 151.437714
#> 6229 243.154017
#> 6230 312.869671
#> 6231 365.409015
#> 6232 404.594929
#> 6233 454.165234
#> 6234 478.338073
#> 6235 487.272863
#> 6236 487.126991
#> 6237 473.041361
#> 6238 428.137094
#> 6239 382.654567
#> 6240 304.431568
#> 6241 242.107111
#> 6242 192.540284
#> 6243 153.209008
#> 6244 153.657107
#> 6245 153.770467
#> 6246 245.490079
#> 6247 315.172527
#> 6248 367.679140
#> 6249 406.832784
#> 6250 456.339917
#> 6251 480.451368
#> 6252 489.326503
#> 6253 489.122660
#> 6254 474.925952
#> 6255 429.817732
#> 6256 384.153323
#> 6257 305.623483
#> 6258 243.055003
#> 6259 193.294114
#> 6260 153.720789
#> 6261 77.316894
#> 6262 38.888046
#> 6263 19.559490
#> 6264 9.837829
#> 6265 31.318243
#> 6266 55.263721
#> 6267 73.473612
#> 6268 87.222870
#> 6269 105.091116
#> 6270 114.455575
#> 6271 118.703817
#> 6272 119.889329
#> 6273 117.558882
#> 6274 106.932803
#> 6275 95.644078
#> 6276 76.102193
#> 6277 60.522426
#> 6278 48.131613
#> 6279 38.277573
#> 6280 19.252460
#> 6281 9.683400
#> 6282 4.870456
#> 6283 2.451099
#> 6284 38.919576
#> 6285 48.145322
#> 6286 50.479238
#> 6287 81.051339
#> 6288 104.289890
#> 6289 121.803005
#> 6290 134.864976
#> 6291 151.388411
#> 6292 159.446025
#> 6293 162.424288
#> 6294 162.375664
#> 6295 157.680454
#> 6296 142.712365
#> 6297 127.551522
#> 6298 101.477190
#> 6299 80.702370
#> 6300 64.180095
#> 6301 51.069669
#> 6302 51.219036
#> 6303 51.256822
#> 6304 81.830026
#> 6305 105.057509
#> 6306 122.559713
#> 6307 135.610928
#> 6308 152.113306
#> 6309 160.150456
#> 6310 163.108834
#> 6311 163.040887
#> 6312 158.308651
#> 6313 143.272577
#> 6314 128.051108
#> 6315 101.874494
#> 6316 81.018334
#> 6317 64.431371
#> 6318 51.240263
#> 6319 25.772298
#> 6320 12.962681
#> 6321 6.519835
#> 6322 3.279284
#> 6323 31.318243
#> 6324 55.263721
#> 6325 73.473612
#> 6326 87.222870
#> 6327 105.091116
#> 6328 114.455575
#> 6329 118.703817
#> 6330 119.889329
#> 6331 117.558882
#> 6332 106.932803
#> 6333 95.644078
#> 6334 76.102193
#> 6335 60.522426
#> 6336 48.131613
#> 6337 38.277573
#> 6338 19.252460
#> 6339 9.683400
#> 6340 4.870456
#> 6341 2.451091
#> 6342 38.919574
#> 6343 48.145321
#> 6344 50.479238
#> 6345 81.051339
#> 6346 104.289890
#> 6347 121.803005
#> 6348 134.864976
#> 6349 151.388411
#> 6350 159.446024
#> 6351 162.424288
#> 6352 162.375664
#> 6353 157.680454
#> 6354 142.712365
#> 6355 127.551522
#> 6356 101.477189
#> 6357 80.702370
#> 6358 64.180095
#> 6359 51.069669
#> 6360 51.219036
#> 6361 51.256822
#> 6362 81.830026
#> 6363 105.057509
#> 6364 122.559713
#> 6365 135.610928
#> 6366 152.113306
#> 6367 160.150456
#> 6368 163.108834
#> 6369 163.040887
#> 6370 158.308651
#> 6371 143.272577
#> 6372 128.051108
#> 6373 101.874494
#> 6374 81.018334
#> 6375 64.431371
#> 6376 51.240263
#> 6377 25.772298
#> 6378 12.962681
#> 6379 6.519835
#> 6380 3.279274
#> 6381 187.909454
#> 6382 331.582335
#> 6383 440.841683
#> 6384 523.337182
#> 6385 630.546678
#> 6386 686.733453
#> 6387 712.222901
#> 6388 719.335977
#> 6389 705.353294
#> 6390 641.596816
#> 6391 573.864467
#> 6392 456.613155
#> 6393 363.134554
#> 6394 288.789680
#> 6395 229.665439
#> 6396 115.514785
#> 6397 58.100404
#> 6398 29.222749
#> 6399 14.706572
#> 6400 233.517452
#> 6401 288.871929
#> 6402 302.875429
#> 6403 486.308034
#> 6404 625.739342
#> 6405 730.818031
#> 6406 809.189859
#> 6407 908.330468
#> 6408 956.676147
#> 6409 974.545727
#> 6410 974.253982
#> 6411 946.082723
#> 6412 856.274189
#> 6413 765.309134
#> 6414 608.863137
#> 6415 484.214223
#> 6416 385.080569
#> 6417 306.418016
#> 6418 307.314214
#> 6419 307.540933
#> 6420 490.980157
#> 6421 630.345055
#> 6422 735.358279
#> 6423 813.665567
#> 6424 912.679835
#> 6425 960.902737
#> 6426 978.653007
#> 6427 978.245320
#> 6428 949.851904
#> 6429 859.635463
#> 6430 768.306646
#> 6431 611.246965
#> 6432 486.110007
#> 6433 386.588227
#> 6434 307.441578
#> 6435 154.633802
#> 6436 77.776097
#> 6437 39.119005
#> 6438 19.675644
#> 6439 375.818919
#> 6440 663.164653
#> 6441 881.683366
#> 6442 1046.674370
#> 6443 1261.093082
#> 6444 1373.466613
#> 6445 1424.445564
#> 6446 1438.671761
#> 6447 1410.706485
#> 6448 1283.193611
#> 6449 1147.728930
#> 6450 913.226310
#> 6451 726.269108
#> 6452 577.579360
#> 6453 459.330878
#> 6454 231.029519
#> 6455 116.200824
#> 6456 58.445428
#> 6457 29.413101
#> 6458 467.034893
#> 6459 577.743856
#> 6460 605.750858
#> 6461 972.616067
#> 6462 1251.478684
#> 6463 1461.636061
#> 6464 1618.379717
#> 6465 1816.660936
#> 6466 1913.352294
#> 6467 1949.091453
#> 6468 1948.507964
#> 6469 1892.165445
#> 6470 1712.548377
#> 6471 1530.618268
#> 6472 1217.726274
#> 6473 968.428445
#> 6474 770.161138
#> 6475 612.836031
#> 6476 614.628429
#> 6477 615.081867
#> 6478 981.960314
#> 6479 1260.690109
#> 6480 1470.716559
#> 6481 1627.331135
#> 6482 1825.359669
#> 6483 1921.805474
#> 6484 1957.306013
#> 6485 1956.490640
#> 6486 1899.703807
#> 6487 1719.270926
#> 6488 1536.613293
#> 6489 1222.493930
#> 6490 972.220014
#> 6491 773.176454
#> 6492 614.883155
#> 6493 309.267628
#> 6494 155.552206
#> 6495 78.238009
#> 6496 39.351289
#> 6497 375.818919
#> 6498 663.164653
#> 6499 881.683366
#> 6500 1046.674370
#> 6501 1261.093082
#> 6502 1373.466613
#> 6503 1424.445564
#> 6504 1438.671761
#> 6505 1410.706485
#> 6506 1283.193611
#> 6507 1147.728930
#> 6508 913.226310
#> 6509 726.269108
#> 6510 577.579360
#> 6511 459.330878
#> 6512 231.029519
#> 6513 116.200824
#> 6514 58.445428
#> 6515 29.413101
#> 6516 467.034893
#> 6517 577.743856
#> 6518 605.750858
#> 6519 972.616067
#> 6520 1251.478684
#> 6521 1461.636061
#> 6522 1618.379717
#> 6523 1816.660936
#> 6524 1913.352294
#> 6525 1949.091453
#> 6526 1948.507964
#> 6527 1892.165445
#> 6528 1712.548377
#> 6529 1530.618268
#> 6530 1217.726274
#> 6531 968.428445
#> 6532 770.161138
#> 6533 612.836031
#> 6534 614.628429
#> 6535 615.081867
#> 6536 981.960314
#> 6537 1260.690109
#> 6538 1470.716559
#> 6539 1627.331135
#> 6540 1825.359669
#> 6541 1921.805474
#> 6542 1957.306013
#> 6543 1956.490640
#> 6544 1899.703807
#> 6545 1719.270926
#> 6546 1536.613293
#> 6547 1222.493930
#> 6548 972.220014
#> 6549 773.176454
#> 6550 614.883155
#> 6551 309.267628
#> 6552 155.552206
#> 6553 78.238009
#> 6554 39.351289
#> 6555 187.909454
#> 6556 331.582335
#> 6557 440.841683
#> 6558 523.337182
#> 6559 630.546678
#> 6560 686.733453
#> 6561 712.222901
#> 6562 719.335977
#> 6563 705.353294
#> 6564 641.596816
#> 6565 573.864467
#> 6566 456.613155
#> 6567 363.134554
#> 6568 288.789680
#> 6569 229.665439
#> 6570 115.514785
#> 6571 58.100404
#> 6572 29.222749
#> 6573 14.706572
#> 6574 233.517452
#> 6575 288.871929
#> 6576 302.875429
#> 6577 486.308034
#> 6578 625.739342
#> 6579 730.818031
#> 6580 809.189859
#> 6581 908.330468
#> 6582 956.676147
#> 6583 974.545727
#> 6584 974.253982
#> 6585 946.082723
#> 6586 856.274189
#> 6587 765.309134
#> 6588 608.863137
#> 6589 484.214223
#> 6590 385.080569
#> 6591 306.418016
#> 6592 307.314214
#> 6593 307.540933
#> 6594 490.980157
#> 6595 630.345055
#> 6596 735.358279
#> 6597 813.665567
#> 6598 912.679835
#> 6599 960.902737
#> 6600 978.653007
#> 6601 978.245320
#> 6602 949.851904
#> 6603 859.635463
#> 6604 768.306646
#> 6605 611.246965
#> 6606 486.110007
#> 6607 386.588227
#> 6608 307.441578
#> 6609 154.633802
#> 6610 77.776097
#> 6611 39.119005
#> 6612 19.675644
#> 6613 93.954729
#> 6614 165.791161
#> 6615 220.420849
#> 6616 261.668599
#> 6617 315.273327
#> 6618 343.366720
#> 6619 356.111447
#> 6620 359.667986
#> 6621 352.676646
#> 6622 320.798408
#> 6623 286.932234
#> 6624 228.306578
#> 6625 181.567277
#> 6626 144.394840
#> 6627 114.832720
#> 6628 57.757344
#> 6629 29.050204
#> 6630 14.611368
#> 6631 7.353273
#> 6632 116.758723
#> 6633 144.435964
#> 6634 151.437714
#> 6635 243.154017
#> 6636 312.869671
#> 6637 365.409015
#> 6638 404.594929
#> 6639 454.165234
#> 6640 478.338073
#> 6641 487.272863
#> 6642 487.126991
#> 6643 473.041361
#> 6644 428.137094
#> 6645 382.654567
#> 6646 304.431568
#> 6647 242.107111
#> 6648 192.540284
#> 6649 153.209008
#> 6650 153.657107
#> 6651 153.770467
#> 6652 245.490079
#> 6653 315.172527
#> 6654 367.679140
#> 6655 406.832784
#> 6656 456.339917
#> 6657 480.451368
#> 6658 489.326503
#> 6659 489.122660
#> 6660 474.925952
#> 6661 429.817732
#> 6662 384.153323
#> 6663 305.623483
#> 6664 243.055003
#> 6665 193.294114
#> 6666 153.720789
#> 6667 77.316894
#> 6668 38.888046
#> 6669 19.559490
#> 6670 9.837829
#> 6671 93.954729
#> 6672 165.791161
#> 6673 220.420849
#> 6674 261.668599
#> 6675 315.273327
#> 6676 343.366720
#> 6677 356.111447
#> 6678 359.667986
#> 6679 352.676646
#> 6680 320.798408
#> 6681 286.932234
#> 6682 228.306578
#> 6683 181.567277
#> 6684 144.394840
#> 6685 114.832720
#> 6686 57.757344
#> 6687 29.050204
#> 6688 14.611368
#> 6689 7.353273
#> 6690 116.758723
#> 6691 144.435964
#> 6692 151.437714
#> 6693 243.154017
#> 6694 312.869671
#> 6695 365.409015
#> 6696 404.594929
#> 6697 454.165234
#> 6698 478.338073
#> 6699 487.272863
#> 6700 487.126991
#> 6701 473.041361
#> 6702 428.137094
#> 6703 382.654567
#> 6704 304.431568
#> 6705 242.107111
#> 6706 192.540284
#> 6707 153.209008
#> 6708 153.657107
#> 6709 153.770467
#> 6710 245.490079
#> 6711 315.172527
#> 6712 367.679140
#> 6713 406.832784
#> 6714 456.339917
#> 6715 480.451368
#> 6716 489.326503
#> 6717 489.122660
#> 6718 474.925952
#> 6719 429.817732
#> 6720 384.153323
#> 6721 305.623483
#> 6722 243.055003
#> 6723 193.294114
#> 6724 153.720789
#> 6725 77.316894
#> 6726 38.888046
#> 6727 19.559490
#> 6728 9.837829
#> 6729 31.318243
#> 6730 55.263721
#> 6731 73.473612
#> 6732 87.222870
#> 6733 105.091116
#> 6734 114.455575
#> 6735 118.703817
#> 6736 119.889329
#> 6737 117.558882
#> 6738 106.932803
#> 6739 95.644078
#> 6740 76.102193
#> 6741 60.522426
#> 6742 48.131613
#> 6743 38.277573
#> 6744 19.252460
#> 6745 9.683400
#> 6746 4.870456
#> 6747 2.451091
#> 6748 38.919574
#> 6749 48.145321
#> 6750 50.479238
#> 6751 81.051339
#> 6752 104.289890
#> 6753 121.803005
#> 6754 134.864976
#> 6755 151.388411
#> 6756 159.446024
#> 6757 162.424288
#> 6758 162.375664
#> 6759 157.680454
#> 6760 142.712365
#> 6761 127.551522
#> 6762 101.477189
#> 6763 80.702370
#> 6764 64.180095
#> 6765 51.069669
#> 6766 51.219036
#> 6767 51.256822
#> 6768 81.830026
#> 6769 105.057509
#> 6770 122.559713
#> 6771 135.610928
#> 6772 152.113306
#> 6773 160.150456
#> 6774 163.108834
#> 6775 163.040887
#> 6776 158.308651
#> 6777 143.272577
#> 6778 128.051108
#> 6779 101.874494
#> 6780 81.018334
#> 6781 64.431371
#> 6782 51.240263
#> 6783 25.772298
#> 6784 12.962681
#> 6785 6.519835
#> 6786 3.279274
#> 6787 375.818919
#> 6788 663.164653
#> 6789 881.683366
#> 6790 1046.674370
#> 6791 1261.093082
#> 6792 1373.466613
#> 6793 1424.445564
#> 6794 1438.671761
#> 6795 1410.706485
#> 6796 1283.193611
#> 6797 1147.728930
#> 6798 913.226310
#> 6799 726.269108
#> 6800 577.579360
#> 6801 459.330878
#> 6802 231.029519
#> 6803 116.200824
#> 6804 58.445428
#> 6805 29.413101
#> 6806 467.034893
#> 6807 577.743856
#> 6808 605.750858
#> 6809 972.616067
#> 6810 1251.478684
#> 6811 1461.636061
#> 6812 1618.379717
#> 6813 1816.660936
#> 6814 1913.352294
#> 6815 1949.091453
#> 6816 1948.507964
#> 6817 1892.165445
#> 6818 1712.548377
#> 6819 1530.618268
#> 6820 1217.726274
#> 6821 968.428445
#> 6822 770.161138
#> 6823 612.836031
#> 6824 614.628429
#> 6825 615.081867
#> 6826 981.960314
#> 6827 1260.690109
#> 6828 1470.716559
#> 6829 1627.331135
#> 6830 1825.359669
#> 6831 1921.805474
#> 6832 1957.306013
#> 6833 1956.490640
#> 6834 1899.703807
#> 6835 1719.270926
#> 6836 1536.613293
#> 6837 1222.493930
#> 6838 972.220014
#> 6839 773.176454
#> 6840 614.883155
#> 6841 309.267628
#> 6842 155.552206
#> 6843 78.238009
#> 6844 39.351289
#> 6845 31.318243
#> 6846 55.263721
#> 6847 73.473612
#> 6848 87.222870
#> 6849 105.091116
#> 6850 114.455575
#> 6851 118.703817
#> 6852 119.889329
#> 6853 117.558882
#> 6854 106.932803
#> 6855 95.644078
#> 6856 76.102193
#> 6857 60.522426
#> 6858 48.131613
#> 6859 38.277573
#> 6860 19.252460
#> 6861 9.683400
#> 6862 4.870456
#> 6863 2.451091
#> 6864 38.919574
#> 6865 48.145321
#> 6866 50.479238
#> 6867 81.051339
#> 6868 104.289890
#> 6869 121.803005
#> 6870 134.864976
#> 6871 151.388411
#> 6872 159.446024
#> 6873 162.424288
#> 6874 162.375664
#> 6875 157.680454
#> 6876 142.712365
#> 6877 127.551522
#> 6878 101.477189
#> 6879 80.702370
#> 6880 64.180095
#> 6881 51.069669
#> 6882 51.219036
#> 6883 51.256822
#> 6884 81.830026
#> 6885 105.057509
#> 6886 122.559713
#> 6887 135.610928
#> 6888 152.113306
#> 6889 160.150456
#> 6890 163.108834
#> 6891 163.040887
#> 6892 158.308651
#> 6893 143.272577
#> 6894 128.051108
#> 6895 101.874494
#> 6896 81.018334
#> 6897 64.431371
#> 6898 51.240263
#> 6899 25.772298
#> 6900 12.962681
#> 6901 6.519835
#> 6902 3.279274
#> 6903 187.909454
#> 6904 331.582335
#> 6905 440.841683
#> 6906 523.337182
#> 6907 630.546678
#> 6908 686.733453
#> 6909 712.222901
#> 6910 719.335977
#> 6911 705.353294
#> 6912 641.596816
#> 6913 573.864467
#> 6914 456.613155
#> 6915 363.134554
#> 6916 288.789680
#> 6917 229.665439
#> 6918 115.514785
#> 6919 58.100404
#> 6920 29.222749
#> 6921 14.706572
#> 6922 233.517452
#> 6923 288.871929
#> 6924 302.875429
#> 6925 486.308034
#> 6926 625.739342
#> 6927 730.818031
#> 6928 809.189859
#> 6929 908.330468
#> 6930 956.676147
#> 6931 974.545727
#> 6932 974.253982
#> 6933 946.082723
#> 6934 856.274189
#> 6935 765.309134
#> 6936 608.863137
#> 6937 484.214223
#> 6938 385.080569
#> 6939 306.418016
#> 6940 307.314214
#> 6941 307.540933
#> 6942 490.980157
#> 6943 630.345055
#> 6944 735.358279
#> 6945 813.665567
#> 6946 912.679835
#> 6947 960.902737
#> 6948 978.653007
#> 6949 978.245320
#> 6950 949.851904
#> 6951 859.635463
#> 6952 768.306646
#> 6953 611.246965
#> 6954 486.110007
#> 6955 386.588227
#> 6956 307.441578
#> 6957 154.633802
#> 6958 77.776097
#> 6959 39.119005
#> 6960 19.675644
# }