commissioning a varian -...
TRANSCRIPT
C o r e y B r i d g e r a , A l e x a n d r e S a n t o s a , b , P a u l R e i c h b
a ) S c h o o l o f P h y s i c a l S c i e n c e , U n i v e r s i t y o f A d e l a i d e , S o u t h A u s t r a l i ab ) D e p a r t m e n t o f M e d i c a l P h y s i c s , R o y a l A d e l a i d e H o s p i t a l , S o u t h A u s t r a l i a
COMMISSIONING A VARIAN LEIPZIG-STYLE
APPLICATOR FOR HDR BRACHYTHERAPY
1
Geometric integrity check Determination of optimal source position inside applicator Validation of the TPS dose engine (Acuros) Treatment planning procedure
OUTLINE
EQUIPMENT
Leipzig-style applicator
30 mm 35 mm 40 mm 45 mm
GammaMedplus iXBrachyVision V 13.7
LENGTH CHECK
Length gauge (1300 mm)Leipzig connected to source guide tube
Results: 1300 1 mm
Dimension check
Results: diameters within 0.5 mm of manufacturer
OPTIMAL SOURCE POSITION INSIDE APPLICATOR
Films (30 mm insert)
VALIDATING ACUROS
Water (blue)
Air (white)
MEASUREMENTS (FILM)
(a) Profiles (2, 3, 5 & 10 mm depths) (b) PDDs
GafchromicEBT3 film in Solid Water
PROFILE COMPARISONS (3 MM DEPTH)
40 mm insert
0
0.5
1
1.5
2
2.5
3
3.5
-45 -25 -5 15 35Distance (mm)
Dose
(Gy)
TPS (Acuros) Film MC
45 mm insert
00.5
11.5
22.5
33.5
-30 -20 -10 0 10 20 30Distance (mm)
Do
se (
Gy)
TPS (Acuros) Film MC data
35 mm insert
0
0.5
1
1.5
2
2.5
3
3.5
-40 -20 0 20 40Distance (mm)
Dose
(Gy)
TPS (Acuros) Film MC
30 mm insert
00.5
11.5
22.5
33.5
-20 -10 0 10 20
Distance (mm)
Dose
(Gy)
MC
TPS (Acuros)
Film
Chart2
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3.73423
3.81761
3.90098
3.98435
4.06772
4.1511
4.23447
4.31784
4.40121
4.48458
4.56796
4.65133
4.7347
4.81807
4.90144
4.98482
5.06819
5.15156
5.23493
5.31831
5.40168
5.48505
5.56842
5.65179
5.73517
5.81854
5.90191
5.98528
6.06865
6.15203
6.2354
6.31877
6.40214
6.48552
6.56889
6.65226
6.73563
6.819
6.90238
6.98575
7.06912
7.15249
7.23586
7.31924
7.40261
7.48598
7.56935
7.65273
7.7361
7.81947
7.90284
7.98621
8.06959
8.15296
8.23633
8.3197
8.40307
8.48645
8.56982
8.65319
8.73656
8.81994
8.90331
8.98668
9.07005
9.15342
9.2368
9.32017
9.40354
9.48691
9.57028
9.65366
9.73703
9.8204
9.90377
9.98715
10.07052
10.15389
10.23726
10.32063
10.40401
10.48738
10.57075
10.65412
10.7375
10.82087
10.90424
10.98761
11.07098
11.15436
11.23773
11.3211
11.40447
11.48784
11.57122
11.65459
11.73796
11.82133
11.90471
11.98808
12.07145
12.15482
12.23819
12.32157
12.40494
12.48831
12.57168
12.65505
12.73843
12.8218
12.90517
12.98854
13.07192
13.15529
13.23866
13.32203
13.4054
13.48878
13.57215
13.65552
13.73889
13.82226
13.90564
13.98901
14.07238
14.15575
14.23913
14.3225
14.40587
14.48924
14.57261
14.65599
14.73936
14.82273
14.9061
14.98947
15.07285
15.15622
15.23959
15.32296
15.40634
15.48971
15.57308
15.65645
15.73982
15.8232
15.90657
15.98994
16.07331
16.15668
16.24006
16.32343
16.4068
16.49017
16.57355
16.65692
16.74029
16.82366
16.90703
16.99041
17.07378
17.15715
17.24052
17.32389
17.40727
17.49064
17.57401
17.65738
17.74076
17.82413
17.9075
17.99087
18.07424
18.15762
18.24099
18.32436
18.40773
18.4911
18.57448
18.65785
18.74122
18.82459
18.90797
18.99134
19.07471
19.15808
19.24145
19.32483
19.4082
19.49157
19.57494
19.65831
19.74169
19.82506
19.90843
19.9918
20.07518
20.15855
20.24192
20.32529
20.40866
20.49204
20.57541
20.65878
20.74215
20.82552
20.9089
20.99227
21.07564
21.15901
21.24239
21.32576
21.40913
21.4925
21.57587
21.65925
21.74262
21.82599
21.90936
21.99274
22.07611
22.15948
22.24285
22.32622
22.4096
22.49297
22.57634
22.65971
22.74308
22.82646
22.90983
22.9932
23.07657
23.15995
23.24332
23.32669
23.41006
23.49343
23.57681
23.66018
23.74355
23.82692
23.91029
23.99367
24.07704
24.16041
24.24378
24.32716
24.41053
24.4939
24.57727
24.66064
24.74402
24.82739
24.91076
24.99413
25.0775
25.16088
25.24425
25.32762
25.41099
25.49437
25.57774
25.66111
25.74448
25.82785
25.91123
25.9946
26.07797
26.16134
26.24471
26.32809
26.41146
26.49483
26.5782
26.66158
26.74495
26.82832
26.91169
26.99506
27.07844
27.16181
27.24518
27.32855
27.41192
27.4953
27.57867
27.66204
27.74541
27.82879
27.91216
27.99553
28.0789
28.16227
28.24565
28.32902
28.41239
28.49576
28.57913
28.66251
28.74588
28.82925
28.91262
28.996
29.07937
29.16274
29.24611
29.32948
29.41286
29.49623
29.5796
29.66297
29.74634
29.82972
29.91309
29.99646
30.07983
30.16321
30.24658
30.32995
30.41332
30.49669
30.58007
30.66344
30.74681
30.83018
30.91355
30.99693
31.0803
31.16367
31.24704
31.33042
31.41379
31.49716
31.58053
31.6639
31.74728
31.83065
31.91402
31.99739
32.08076
32.16414
32.24751
32.33088
32.41425
32.49763
32.581
32.66437
32.74774
32.83111
32.91449
32.99786
33.08123
33.1646
33.24798
33.33135
33.41472
33.49809
33.58146
33.66484
33.74821
33.83158
33.91495
33.99832
34.0817
34.16507
34.24844
34.33181
34.41519
34.49856
34.58193
34.6653
34.74867
34.83205
34.91542
34.99879
35.08216
35.16553
35.24891
35.33228
35.41565
35.49902
35.5824
35.66577
35.74914
35.83251
35.91588
35.99926
36.08263
36.166
36.24937
36.33274
36.41612
36.49949
36.58286
36.66623
36.74961
36.83298
36.91635
36.99972
37.08309
37.16647
37.24984
37.33321
37.41658
37.49995
37.58333
37.6667
37.75007
37.83344
37.91682
38.00019
38.08356
38.16693
38.2503
38.33368
38.41705
38.50042
38.58379
38.66716
38.75054
38.83391
38.91728
39.00065
39.08403
39.1674
39.25077
39.33414
39.41751
39.50089
39.58426
39.66763
39.751
39.83437
39.91775
40.00112
40.08449
40.16786
40.25124
40.33461
40.41798
40.50135
40.58472
40.6681
40.75147
40.83484
40.91821
41.00158
41.08496
41.16833
41.2517
41.33507
41.41845
41.50182
41.58519
41.66856
41.75193
41.83531
41.91868
42.00205
42.08542
42.16879
42.25217
42.33554
42.41891
42.50228
42.58566
42.66903
42.7524
42.83577
42.91914
43.00252
43.08589
43.16926
43.25263
43.336
43.41938
43.50275
43.58612
43.66949
43.75287
43.83624
43.91961
44.00298
44.08635
44.16973
44.2531
44.33647
44.41984
44.50321
44.58659
44.66996
44.75333
44.8367
44.92008
45.00345
45.08682
45.17019
45.25356
45.33694
45.42031
45.50368
45.58705
45.67043
45.7538
45.83717
45.92054
46.00391
46.08729
46.17066
46.25403
46.3374
46.42077
46.50415
46.58752
46.67089
46.75426
46.83764
46.92101
47.00438
47.08775
47.17112
47.2545
47.33787
47.42124
47.50461
47.58798
47.67136
47.75473
47.8381
47.92147
48.00485
48.08822
48.17159
48.25496
48.33833
48.42171
48.50508
48.58845
48.67182
48.75519
48.83857
48.92194
49.00531
49.08868
49.17206
49.25543
49.3388
49.42217
49.50554
49.58892
49.67229
49.75566
49.83903
49.9224
50.00578
50.08915
50.17252
50.25589
50.33927
50.42264
50.50601
50.58938
50.67275
50.75613
50.8395
50.92287
51.00624
51.08961
51.17299
51.25636
51.33973
51.4231
51.50648
51.58985
51.67322
51.75659
51.83996
51.92334
52.00671
52.09008
52.17345
52.25682
52.3402
52.42357
52.50694
52.59031
52.67369
52.75706
52.84043
52.9238
53.00717
53.09055
53.17392
53.25729
53.34066
53.42403
53.50741
53.59078
53.67415
53.75752
53.8409
53.92427
54.00764
54.09101
54.17438
54.25776
54.34113
54.4245
54.50787
54.59124
54.67462
54.75799
54.84136
54.92473
55.00811
55.09148
55.17485
55.25822
55.34159
55.42497
55.50834
55.59171
55.67508
55.75845
55.84183
55.9252
56.00857
56.09194
56.17532
56.25869
56.34206
56.42543
56.5088
56.59218
56.67555
56.75892
56.84229
56.92567
57.00904
57.09241
57.17578
57.25915
57.34253
57.4259
57.50927
57.59264
57.67601
57.75939
57.84276
57.92613
58.0095
58.09288
58.17625
58.25962
58.34299
58.42636
58.50974
58.59311
58.67648
58.75985
58.84322
58.9266
59.00997
59.09334
59.17671
59.26009
59.34346
59.42683
59.5102
59.59357
59.67695
59.76032
59.84369
59.92706
60.01043
60.09381
60.17718
60.26055
60.34392
60.4273
60.51067
60.59404
60.67741
60.76078
60.84416
60.92753
61.0109
61.09427
61.17764
61.26102
61.34439
61.42776
61.51113
61.59451
61.67788
61.76125
61.84462
61.92799
62.01137
62.09474
62.17811
62.26148
62.34485
62.42823
62.5116
62.59497
62.67834
62.76172
62.84509
62.92846
63.01183
63.0952
63.17858
63.26195
63.34532
63.42869
63.51206
63.59544
63.67881
63.76218
63.84555
63.92893
64.0123
64.09567
64.17904
64.26241
64.34579
64.42916
64.51253
64.5959
64.67927
64.76265
64.84602
64.92939
65.01276
65.09614
65.17951
65.26288
65.34625
65.42962
65.513
65.59637
65.67974
65.76311
65.84648
65.92986
66.01323
66.0966
66.17997
66.26335
66.34672
66.43009
66.51346
66.59683
66.68021
66.76358
66.84695
66.93032
67.01369
67.09707
67.18044
67.26381
67.34718
67.43056
67.51393
67.5973
67.68067
67.76404
67.84742
67.93079
68.01416
68.09753
68.18091
68.26428
68.34765
68.43102
68.51439
68.59777
68.68114
68.76451
68.84788
68.93125
69.01463
69.098
69.18137
69.26474
69.34812
69.43149
69.51486
69.59823
69.6816
69.76498
69.84835
69.93172
70.01509
70.09846
70.18184
70.26521
70.34858
70.43195
70.51533
70.5987
70.68207
70.76544
70.84881
70.93219
71.01556
71.09893
71.1823
71.26567
71.34905
71.43242
71.51579
71.59916
71.68254
71.76591
71.84928
71.93265
72.01602
72.0994
72.18277
72.26614
72.34951
72.43288
72.51626
72.59963
72.683
72.76637
72.84975
72.93312
73.01649
73.09986
73.18323
73.26661
73.34998
73.43335
73.51672
73.60009
73.68347
73.76684
73.85021
73.93358
74.01696
74.10033
74.1837
74.26707
74.35044
74.43382
74.51719
74.60056
74.68393
74.7673
74.85068
74.93405
75.01742
75.10079
75.18417
75.26754
75.35091
75.43428
75.51765
75.60103
75.6844
75.76777
75.85114
75.93451
76.01789
76.10126
76.18463
76.268
76.35138
76.43475
76.51812
76.60149
76.68486
76.76824
76.85161
76.93498
77.01835
77.10172
77.1851
77.26847
77.35184
77.43521
77.51859
77.60196
77.68533
77.7687
77.85207
77.93545
78.01882
78.10219
78.18556
78.26893
78.35231
78.43568
78.51905
78.60242
78.6858
78.76917
78.85254
78.93591
79.01928
79.10266
79.18603
79.2694
79.35277
79.43615
79.51952
79.60289
79.68626
79.76963
79.85301
79.93638
80.01975
80.10312
80.18649
80.26987
80.35324
80.43661
80.51998
80.60336
80.68673
80.7701
80.85347
80.93684
81.02022
81.10359
81.18696
81.27033
81.3537
81.43708
81.52045
81.60382
81.68719
81.77057
81.85394
81.93731
82.02068
82.10405
82.18743
82.2708
82.35417
82.43754
82.52091
82.60429
82.68766
82.77103
82.8544
82.93778
83.02115
83.10452
83.18789
83.27126
83.35464
83.43801
83.52138
83.60475
83.68812
83.7715
83.85487
83.93824
84.02161
84.10499
84.18836
84.27173
84.3551
84.43847
84.52185
84.60522
84.68859
84.77196
84.85533
84.93871
85.02208
85.10545
85.18882
85.2722
85.35557
85.43894
85.52231
85.60568
85.68906
85.77243
85.8558
85.93917
86.02254
86.10592
86.18929
86.27266
86.35603
86.43941
86.52278
86.60615
86.68952
86.77289
86.85627
86.93964
87.02301
87.10638
87.18975
87.27313
87.3565
87.43987
87.52324
87.60662
87.68999
87.77336
87.85673
87.9401
88.02348
88.10685
88.19022
88.27359
88.35696
88.44034
88.52371
88.60708
88.69045
TPS (Acuros)
Film
MC
Distance (mm)
Dose (Gy)
40 mm insert
0
0.3657372431
1.2867032012
0
0.4494567497
1.3703677591
0
0.5366348621
1.4655722561
0
0.6119442622
1.5521217988
0
0.6848323878
1.65598125
0
0.7734247387
1.762725686
0
0.8192799248
1.881010061
0
0.8443603351
1.9935244665
0
0.8688728241
2.1146938262
0
0.885726058
2.2445181402
0
0.912708628
2.3714574695
0
0.9174030129
2.5157067073
0
0.9409487717
2.6426460366
0
0.9542498317
2.7493904726
0
0.9845418362
2.8705598323
0
1.0201119238
2.9657643293
0
1.0264516431
3.0465439024
0
1.0405739965
3.1157835366
0
1.0670396709
3.1446333841
0
1.0868187375
3.1619432927
0
1.0900067563
3.1475183689
0
1.1274868634
3.1100135671
0
1.1564936654
3.0494288872
0
1.1843324247
2.957109375
0
1.2114151061
2.8705598323
0
1.2137000682
2.7609304116
0
1.2274997925
2.6311060976
0
1.250378377
2.507051753
0
1.2846805592
2.3656875
0
1.3298725048
2.258943064
0
1.3485839256
2.117578811
0
1.3850400789
1.999294436
0
1.4040748868
1.8752400915
0
1.4527021258
1.7656106707
0
1.4778025391
1.667521189
0
1.536137574
1.5578917683
0
1.5584049177
1.4569173018
0
1.5939324743
1.3732527439
0
1.6414483038
1.2867032012
0
1.6761785098
0
1.7228708627
0
1.7516190762
0
1.8019229908
0
1.8286144949
0
1.8785422721
0
1.9403328213
0
1.9863751572
0
2.0244456756
0
2.0851867415
0
2.1192525332
0
2.151795814
0
2.2281581001
0
2.2583386087
0
2.2978426351
0
2.346074891
0
2.365792049
0
2.4232826312
0
2.460279508
0
2.5274107698
0
2.5842938431
0
2.6316029282
0
2.6615443997
0
2.7112610632
0
2.7500880021
0
2.8261884549
0
2.8790494749
0
2.911860755
0
2.9292770117
0
2.9659962531
0
3.0048033605
0
3.0023693541
0
3.0452030644
0
3.0825714094
0
3.0904771615
0
3.12862292
0
3.1485703793
0
3.1610595643
0
3.1598532267
0
3.2174187198
0
3.1987110601
0
3.2120735901
0
3.2183854972
0
3.1689419387
0
3.1429415664
0
3.1621392445
0
3.1698965618
0
3.1885277018
0
3.1475578385
0
3.1206358126
0
3.1095325548
0
3.0687924482
0
3.0637778087
0
3.0062036604
0
2.9717814271
0
2.9161918392
0
2.9112085924
0
2.8958883828
0
2.7975114359
0
2.7734587238
0
2.7237408499
0
2.6795793821
0
2.5866019976
0
2.567010876
0
2.5408710129
0
2.5087190065
0
2.452103049
0
2.3763776073
0
2.3523178242
0
2.2971130908
0
2.264338432
0
2.1858715758
0
2.1313796329
0
2.1132557899
0
2.0563166717
0
2.0381489068
0
1.9864182794
0
1.925614977
0
1.8642479088
0
1.8212488329
0
1.7999716498
0
1.7353218915
0
1.7142395549
0
1.6610374929
0
1.625599004
0
1.5924864765
0
1.5818175841
0
1.5372275468
0
1.4924330414
0
1.4644322349
0
1.4495029357
0
1.4099673644
0
1.3800024149
0
1.3359516151
0
1.3104377893
0
1.2900883149
0
1.2619553809
0
1.2340633521
0
1.2041045766
0
1.1809751057
0
1.1583076163
0
1.1258165292
0
1.1121997958
0
1.0839957692
0
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Calibration data
Red filterEquationy = -0.000000000000479394717051473000x3 + 0.000000050699425879280600000000x2 - 0.001913429797833270000000000000x + 25.799985559117700000000000000000
TestDoseAreaminmaxGrey valuestd devk=2 std devRel. % errlinac 1% errCurve valueRel. % errsum of % errave % err
101820372693856738080.804114.99229.980.60392632471-0.01681982151.16821530792.5837467664
20.251820349503630135940.261103.025206.050.57331247540.26390945475.27054049115.3951167052
30.51820318943423033871.626138.073276.1460.81527234620.52629395644.99605896915.1599684322
411820293533093030627.715105.397210.7940.68824592370.98168145131.86603797652.2261581662
521820253232606425712.50699.939199.8780.77735713511.97055662941.49416515791.9587786078
631820193022260822343.929127.816255.6321.14407810733.0104338030.34658802291.558537126
741820194672013719848.99184.263168.5260.84904063894.04607792151.13882931571.7371822635
851820173191835118038.25777.103154.2060.85488304114.96786660520.64682483141.4660175226
Green filterEquationy = -0.000000000000440313875676681000x3 + 0.000000049087241938156500000000x2 - 0.002030235371619460000000000000x + 30.140219677544900000000000000000
101820355493718236621.12142.433284.8660.7778735331-0.00311360081.26692037381.9996414366
20.251820340343592935437.834133.227266.4540.75189132610.24296158532.89692491123.1555529638
30.51820315553483334146.054177.291354.5821.03842745640.51902853343.6661825233.9394448688
411820303843252132062.557134.123268.2460.83663321050.99475026140.52774438251.4065806988
521820277242900728379.038156.048312.0961.0997412951.99382836650.3095368481.5183029922
631820208332590425489.177176.813353.6261.38735746552.99136382380.28870363991.7343905352
741820226402346423071.079113.242226.4840.98167927044.02127430210.52904379311.4978589803
851820206272158921155.343113.127226.2541.06948868664.98990672830.20227375441.4780800799
Blue filterEquationy = -0.000000000009979328105292880000x3 + 0.000000617836705353640000000000x2 - 0.013572726705270300000000000000x + 104.408701667079000000000000000000
101820197442062020291.38194.53189.060.93172564250.01245415371.36678918384.9207520516
20.251820192382037520054.16888.858177.7160.88617987040.209078642219.572232405419.6177877472
30.51820183301994919648.722105.36210.721.07243616150.55013616699.11341044519.2306212825
411820181811943119157.69787.067174.1340.90895059050.97658469282.39767296912.7522766653
521820177341831118068.32684.202168.4040.9320398582.00922662230.45921262611.4420729985
631820135101746417185.189132.306264.6121.53976776162.97676141170.78066680651.9950752925
741820160251666216360.35882.079164.1581.00338880114.02519182510.62585402671.5487034413
851820152561597515698.68876.906153.8120.97977614444.99056648510.1890269351.4126898015
Calibration data
Blue channel
DP centering
2 mm depthdistdose3 mm depthdistdose5 mmdistdose10 mmdistdose
max dose3.7525825849Left 50%13.75833333331.8884921177max dose3.2183854972Left 50%13.05277777781.5939324743max dose2.4942552316Left 50%11.28888888891.2207211001max dose1.5019475742Left 50%12.70.7595252213
50% dose1.876291292550% dose1.609192748613.40555555561.641448303850% dose1.247127615811.64166666671.254229329850% dose0.7509737871
Right 50%42.68611111111.8625766605ave dose13.7583333333Right 50%43.39166666671.625599004ave dose13.2291666667Right 50%47.27222222221.2617115481ave dist11.46527777781.237475215Right 50%58.56111111110.7553702747ave dist12.70.7595252213
43.74444444441.592486476547.6251.2364668471
Distance (mm)Ave. Dose (Gy)50% doseLeft 50%Right 50%CentreFWHMDist (mm)Ave. Dose (Gy)50% doseLeft 50%Right 50%CentreFWHMDistance (mm)Ave. Dose (Gy)50% doseLeft 50%Right 50%CentreFWHMDistance (pixels)Ave. Dose (Gy)50% doseLeft 50%Right 50%CentreFWHM
00.27499814821.876291292513.658333333342.586111111128.122222222228.927777777800.36573724311.609192748613.102777777843.694444444428.398611111130.591666666701.247127615811.541666666747.52529.533333333335.983333333300.750973787112.558.521111111135.510555555646.0211111111
0.35277777780.29822223121.876291292513.658333333342.586111111128.12222222220.35277777780.44945674971.609192748613.102777777843.694444444428.39861111110.35277777781.247127615811.541666666747.52529.53333333330.35277777780.750973787112.558.521111111135.5105555556
0.70555555560.32633939241.876291292513.658333333342.586111111128.12222222220.70555555560.53663486211.609192748613.102777777843.694444444428.39861111110.70555555561.247127615811.541666666747.52529.53333333330.70555555560.750973787112.558.521111111135.5105555556
1.05833333330.38592381781.876291292513.658333333342.586111111128.12222222221.05833333330.61194426221.609192748613.102777777843.694444444428.39861111111.05833333331.247127615811.541666666747.52529.53333333331.05833333330.47714348420.750973787112.558.521111111135.5105555556
1.41111111110.46464969491.876291292513.658333333342.586111111128.12222222221.41111111110.68483238781.609192748613.102777777843.694444444428.39861111111.41111111111.247127615811.541666666747.52529.53333333331.41111111110.48084465680.750973787112.558.521111111135.5105555556
1.76388888890.5644915961.876291292513.658333333342.586111111128.12222222221.76388888890.77342473871.609192748613.102777777843.694444444428.39861111111.76388888891.247127615811.541666666747.52529.53333333331.76388888890.49810806020.750973787112.558.521111111135.5105555556
2.11666666670.671033931.876291292513.658333333342.586111111128.12222222222.11666666670.81927992481.609192748613.102777777843.694444444428.39861111112.11666666671.247127615811.541666666747.52529.53333333332.11666666670.48655019530.750973787112.558.521111111135.5105555556
2.46944444440.76785079791.876291292513.658333333342.586111111128.12222222222.46944444440.84436033511.609192748613.102777777843.694444444428.39861111112.46944444441.247127615811.541666666747.52529.53333333332.46944444440.50105510740.750973787112.558.521111111135.5105555556
2.82222222220.86366117441.876291292513.658333333342.586111111128.12222222222.82222222220.86887282411.609192748613.102777777843.694444444428.39861111112.82222222220.77137991681.247127615811.541666666747.52529.53333333332.82222222220.50947917740.750973787112.558.521111111135.5105555556
3.1750.92728719371.876291292513.658333333342.586111111128.12222222223.1750.8857260581.609192748613.102777777843.694444444428.39861111113.1750.77919364531.247127615811.541666666747.52529.53333333333.1750.51809028030.750973787112.558.521111111135.5105555556
3.52777777780.9657991791.876291292513.658333333342.586111111128.12222222223.52777777780.9127086281.609192748613.102777777843.694444444428.39861111113.52777777780.79148995971.247127615811.541666666747.52529.53333333333.52777777780.52762084950.750973787112.558.521111111135.5105555556
3.88055555560.99573928141.876291292513.658333333342.586111111128.12222222223.88055555560.91740301291.609192748613.102777777843.694444444428.39861111113.88055555560.81692572151.247127615811.541666666747.52529.53333333333.88055555560.53605339960.750973787112.558.521111111135.5105555556
4.23333333331.01880892761.876291292513.658333333342.586111111128.12222222224.23333333330.94094877171.609192748613.102777777843.694444444428.39861111114.23333333330.83331746781.247127615811.541666666747.52529.53333333334.23333333330.54687844760.750973787112.558.521111111135.5105555556
4.58611111111.04101550881.876291292513.658333333342.586111111128.12222222224.58611111110.95424983171.609192748613.102777777843.694444444428.39861111114.58611111110.85316549841.247127615811.541666666747.52529.53333333334.58611111110.55288642850.750973787112.558.521111111135.5105555556
4.93888888891.06452995281.876291292513.658333333342.586111111128.12222222224.93888888890.98454183621.609192748613.102777777843.694444444428.39861111114.93888888890.85404572191.247127615811.541666666747.52529.53333333334.93888888890.55461714630.750973787112.558.521111111135.5105555556
5.29166666671.07755351411.876291292513.658333333342.586111111128.12222222225.29166666671.02011192381.609192748613.102777777843.694444444428.39861111115.29166666670.88515446611.247127615811.541666666747.52529.53333333335.29166666670.57218790390.750973787112.558.521111111135.5105555556
5.64444444441.10450968751.876291292513.658333333342.586111111128.12222222225.64444444441.02645164311.609192748613.102777777843.694444444428.39861111115.64444444440.88386279341.247127615811.541666666747.52529.53333333335.64444444440.5802438830.750973787112.558.521111111135.5105555556
5.99722222221.13443677311.876291292513.658333333342.586111111128.12222222225.99722222221.04057399651.609192748613.102777777843.694444444428.39861111115.99722222220.89486964111.247127615811.541666666747.52529.53333333335.99722222220.59177417610.750973787112.558.521111111135.5105555556
6.351.16842616871.876291292513.658333333342.586111111128.12222222226.351.06703967091.609192748613.102777777843.694444444428.39861111116.350.96886655311.247127615811.541666666747.52529.53333333336.350.58923747620.750973787112.558.521111111135.5105555556
6.70277777781.20042118731.876291292513.658333333342.586111111128.12222222226.70277777781.08681873751.609192748613.102777777843.694444444428.39861111116.70277777780.94245900321.247127615811.541666666747.52529.53333333336.70277777780.5981248350.750973787112.558.521111111135.5105555556
7.05555555561.22820286141.876291292513.658333333342.586111111128.12222222227.05555555561.09000675631.609192748613.102777777843.694444444428.39861111117.05555555560.96305787671.247127615811.541666666747.52529.53333333337.05555555560.60360995250.750973787112.558.521111111135.5105555556
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