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Assignment 1: Multiple Regression in SPSS
You will note that the assignment for this week is similar to the multiple regression analyses you did in the Quantitative Reasoning and Analysis course in weeks 9 and 10. When you conduct your multiple regression analysis for this assignment you should not turn in a paper you submitted in an earlier course or use the same variables that you used to conduct a multiple regression. Please note that SafeAssign will match your assignment to your submission(s) from the earlier course and it is not permissible to reuse work from previous courses without specific permission from your instructor.
For this assignment use different variables than you did for previous multiple regression assignments.
To prepare for this Assignment
- Review this week’s Learning Resources and media program related to multiple regression.
- Based on the dataset you chose, construct a research question that can be answered with a multiple regression analysis.
BY DAY 7
Write a 1- to 2-page analysis of your multiple regression results, addressing each research question. In your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.
Use proper APA format, citations, and referencing for your analysis, research question, and display of output.
REQUIRED MEDIA
Laureate Education (Producer). (2016g). Multiple regression [Video file]. Baltimore, MD: Author.
Note: The approximate length of this media piece is 7 minutes.
In this media program, Dr. Matt Jones demonstrates multiple regression using the SPSS software.
Unformatted Attachment Preview
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15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15274
15276
15278
15279
15280
15281
15282
15283
15285
15286
15287
15288
15289
1
1
1
2
1
1
1
2
2
2
1
2
2
1
1
1
2
1
2
2
1
1
2
1
2
1
2
2
2
2
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
4
-8
-8
-8
3
2
-8
3
3
3
2
5
4
4
2
3
2
7
2
3
4
-8
2
-8
-8
-8
2
4
2
5
-8
-8
-8
-8
4
2
1
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2
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2
3
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4
4
2
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15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15315
15317
15318
15319
15320
15321
15322
15323
15324
15325
15327
15328
15329
15330
15331
15332
15334
15335
15336
15337
15338
15339
15341
1
1
1
2
1
1
1
2
2
1
1
2
2
2
1
2
2
1
1
2
1
2
2
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
2
2
2
2
2
1
2
1
-8
-8
4
-8
3
-8
7
2
2
4
-8
2
1
1
-8
1
2
4
3
7
2
-8
2
-8
2
3
3
-8
4
2
5
2
2
4
4
1
4
1
2
4
2
2
3
2
2
4
-1.46
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0.60
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15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15382
15383
15384
15385
15386
15387
15388
15389
15390
1
2
1
1
1
1
1
2
1
2
2
2
1
1
2
2
2
2
1
1
1
1
1
1
2
1
2
2
2
2
1
1
1
1
2
1
2
1
2
1
2
2
1
2
1
2
2
-8
2
-8
2
4
2
3
2
4
1
2
-8
2
4
4
2
3
3
4
-8
2
-8
-8
-8
1
2
2
4
-8
-8
-8
4
2
-8
4
-8
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2
2
5
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4
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3
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-8
2
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15391
15392
15393
15394
15395
15396
15397
15398
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
1
2
2
1
2
1
1
1
1
2
1
2
2
1
1
2
2
2
2
1
1
1
1
1
1
2
2
2
1
2
1
1
1
1
1
1
2
2
1
2
1
2
1
1
2
1
2
5
4
5
2
3
4
-8
2
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-8
2
-8
2
-8
5
2
4
2
-8
3
2
-8
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2
2
3
4
2
4
5
4
2
-8
-8
4
3
7
2
4
7
2
3
2
2
4
2
2
0.96
0.86
1.62
0.20
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0.91
-0.33
0.27
0.91
0.31
2.15
0.91
-1.57
-0.33
0.27
-0.33
-0.33
-0.47
-7.00
-0.47
0.10
-0.89
1.69
0.10
-0.33
0.10
-7.00
0.71
-8.00
1.27
-8.00
-7.00
1.69
-0.47
-0.33
-0.89
-0.33
0.10
-8.00
-8.00
0.66
-7.00
0.66
-7.00
-7.00
-7.00
1.69
0.71
0.28
-8.00
-8.00
-0.47
-0.89
-0.47
0.71
0.28
-0.47
1.69
1.69
0.71
0.28
0.10
-0.89
0.10
15440
15441
15442
15443
15445
15446
15447
15448
15449
15450
15452
15453
15454
15455
15456
15457
15459
15460
15461
15462
15463
15464
15465
15466
15467
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
1
1
1
1
2
1
2
1
1
1
1
2
2
2
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
2
2
2
1
2
1
2
2
2
2
1
2
5
-8
3
-8
-8
4
2
1
2
-8
3
-8
3
4
3
-8
3
7
-8
-8
3
2
-8
-8
7
-8
2
2
-8
1
2
2
-8
4
2
4
-8
3
2
1
2
-8
1
-8
2
7
4
0.88
-0.50
1.70
-0.48
1.01
0.79
-0.78
-8.00
0.31
0.75
-0.87
0.32
0.44
-0.17
0.81
0.41
0.18
2.27
1.28
0.45
-0.27
-0.08
1.51
-8.00
1.78
-8.00
-0.48
-0.77
-8.00
0.37
0.52
0.04
-8.00
1.26
-1.52
-0.01
-0.10
0.44
-0.54
-0.65
-0.79
-0.37
-1.44
-1.18
0.26
1.61
-0.75
1.76
-0.57
0.03
-0.57
0.60
-1.13
-1.73
-8.00
0.60
-0.57
1.76
-0.57
0.00
0.60
1.16
0.03
0.60
0.60
0.60
0.60
1.76
0.60
1.19
-8.00
1.76
-8.00
0.60
-0.57
-8.00
0.03
-1.73
0.03
-8.00
0.60
0.60
0.60
0.60
-1.73
-1.73
-1.13
0.56
-1.73
0.03
-0.57
-0.57
-0.57
0.60
0.27
-7.00
1.31
-0.30
-0.70
-1.33
0.50
-8.00
1.31
-0.07
1.31
0.34
-1.33
0.11
-0.13
1.31
0.27
0.27
-0.30
-0.30
-9.00
-0.70
1.31
-8.00
-0.70
-8.00
1.31
-0.30
-8.00
-0.30
0.50
-1.50
-8.00
-0.30
-0.30
0.90
0.67
-0.30
-0.30
-7.00
-7.00
-9.00
-1.33
-7.00
-0.30
-0.76
0.90
1.62
-7.00
-1.02
-0.58
-0.17
-1.41
-2.92
-8.00
0.10
0.27
0.90
0.10
-0.58
1.62
0.10
0.10
0.10
1.62
0.10
0.55
-9.00
0.10
-0.17
-8.00
1.34
-8.00
-0.17
0.26
-8.00
0.51
1.07
-0.17
-8.00
1.62
-0.58
0.10
0.10
-1.41
1.62
-7.00
-7.00
-9.00
-0.58
-7.00
-1.14
1.34
0.10
-0.33
-0.33
0.91
0.27
0.91
0.91
-0.94
-8.00
-0.33
-0.33
0.91
-0.33
-0.33
0.27
-0.33
-0.33
0.91
-0.33
0.91
0.91
0.91
-0.33
1.55
-8.00
1.55
-8.00
0.91
-0.33
-8.00
0.91
-0.33
-0.94
-8.00
2.15
-1.57
-0.33
0.91
-0.33
-0.94
0.91
1.52
0.91
0.91
-0.33
0.91
0.27
1.52
1.27
-7.00
-7.00
-7.00
-0.33
-7.00
-7.00
-8.00
1.69
-7.00
-7.00
1.27
-0.52
-7.00
-7.00
-1.08
-7.00
0.15
0.10
1.69
1.08
-0.89
1.69
-8.00
1.27
-8.00
0.10
-1.13
-8.00
1.27
-0.71
-1.08
-8.00
0.66
-3.10
-0.33
1.27
-0.33
-3.10
-0.47
-7.00
-0.28
-7.00
-7.00
0.10
0.71
1.69
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15502
15503
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
2
1
1
1
1
2
2
1
1
2
2
2
1
1
1
1
1
2
2
2
1
1
1
2
1
2
1
1
2
1
2
1
2
2
2
1
2
1
2
2
2
2
2
1
2
2
1
-8
5
-8
-8
-8
2
-8
2
2
-8
2
-8
-8
5
-8
2
2
2
-8
4
2
2
4
2
-8
-8
2
-8
2
-8
2
3
2
-8
2
-8
-8
-8
4
2
-8
4
-8
-8
2
-8
-8
0.37
-0.06
-8.00
0.05
1.18
-0.77
-0.23
0.44
-0.60
-0.10
-0.88
-0.31
-8.00
0.94
0.03
0.23
-0.36
-0.67
-0.47
0.26
-0.34
-0.33
0.26
-0.54
0.74
-1.08
-0.60
0.78
0.04
-0.72
-0.78
-0.08
-0.01
-0.37
-0.04
-8.00
0.36
0.15
1.34
0.09
-8.00
0.35
-8.00
-0.43
-0.42
0.25
0.80
0.03
0.60
-8.00
-0.57
-1.16
-1.73
-0.57
0.60
0.03
1.16
-1.13
0.03
-8.00
0.60
1.16
0.60
1.16
-1.73
-1.73
-0.57
1.76
0.03
0.00
-1.13
0.00
0.60
-1.16
1.76
-0.57
0.60
-9.00
1.76
0.03
-0.57
0.60
-8.00
-1.16
0.60
-1.73
1.76
-8.00
0.60
-8.00
0.00
-1.13
1.76
0.03
-0.30
-0.30
-8.00
-7.00
-7.00
1.31
0.67
0.90
-0.36
-0.30
-1.33
-0.70
-8.00
-0.93
-0.30
-0.70
1.31
0.90
1.31
0.27
1.31
1.31
-0.70
-0.70
0.27
0.67
-2.87
1.31
-7.00
-7.00
-9.00
-0.13
-0.30
-0.70
-0.30
-8.00
-0.13
0.27
-0.70
1.31
-8.00
-0.30
-8.00
0.90
0.34
1.31
-0.70
0.66
1.62
-8.00
-7.00
-7.00
-1.41
-1.29
0.10
-0.17
0.38
-0.75
-0.85
-8.00
0.10
1.62
0.10
-0.17
-0.08
-1.41
-0.17
1.62
-0.61
0.90
-1.41
0.10
1.21
-1.82
0.90
-7.00
-7.00
-9.00
1.62
-0.56
0.10
-0.17
-8.00
-2.09
-1.02
-0.10
0.55
-8.00
0.10
-8.00
0.10
-0.30
1.62
0.38
0.27
-1.57
-8.00
0.27
-0.36
-0.33
0.31
0.91
0.31
-0.36
0.31
-1.57
-8.00
-0.33
0.91
0.91
0.91
1.52
-0.33
-0.33
0.91
-0.33
0.27
-0.33
-0.33
0.27
-0.33
-1.57
-1.57
0.31
-0.33
1.55
0.91
-0.94
0.91
-8.00
-0.97
-0.33
-1.57
0.91
-8.00
0.91
-8.00
-0.33
0.27
-0.97
2.15
0.10
0.71
-8.00
-3.10
0.71
-0.89
-7.00
-7.00
-0.89
1.08
-7.00
-7.00
-8.00
-0.47
1.69
-0.33
0.52
-7.00
0.10
-7.00
1.27
-0.47
1.69
-0.89
0.10
-7.00
-2.54
0.10
-7.00
-7.00
-9.00
-0.28
1.27
-0.89
0.10
-8.00
-0.28
-7.00
-0.33
-0.47
-8.00
0.10
-8.00
-0.89
1.69
0.57
-9.00
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15569
15570
15571
15572
15573
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15588
15589
15590
2
2
1
1
1
2
2
2
2
1
1
2
2
2
1
1
1
2
2
1
1
2
1
2
1
2
1
1
1
2
1
2
1
2
1
2
2
1
2
1
2
2
1
1
2
1
1
-8
3
5
4
2
-8
2
2
2
2
1
2
2
2
-8
3
3
5
-8
3
1
2
-8
5
2
7
2
-8
2
-8
7
1
4
-8
-8
3
3
-8
4
7
-8
-8
-8
-8
-8
5
2
-0.11
0.23
2.02
0.27
-8.00
-8.00
-0.78
0.20
0.02
-0.91
-1.57
-0.30
0.08
-0.12
0.68
-8.00
0.44
0.98
-0.73
0.06
-1.00
0.35
-0.61
0.47
-0.15
2.57
-0.06
-1.19
-0.69
-8.00
1.94
-0.19
0.88
-0.41
0.12
0.82
0.72
-0.28
0.05
2.38
0.19
-0.01
0.85
-0.38
-8.00
0.94
-0.84
-1.73
0.60
1.19
1.19
-8.00
-8.00
-1.73
-1.73
0.00
1.16
1.16
1.19
-0.57
0.00
0.03
-8.00
-1.73
0.60
-0.57
-0.57
0.00
0.03
0.03
-1.73
0.03
1.76
-0.57
-1.13
-1.73
-8.00
0.60
1.16
0.60
-1.73
1.76
0.03
0.60
0.03
1.76
-0.57
-1.73
-1.73
-1.73
-0.60
-8.00
0.00
1.76
-1.33
-0.70
-1.33
0.67
-8.00
-8.00
-9.00
-7.00
1.31
-0.53
-9.00
0.90
-7.00
0.90
-0.70
-8.00
-0.70
1.31
-0.30
-0.70
-0.70
-0.70
-0.30
1.31
-0.30
1.31
-9.00
1.31
-3.51
-8.00
0.11
-7.00
0.27
-1.10
-0.30
-1.74
-1.74
1.31
1.31
-7.00
-1.33
-0.30
-2.37
-0.07
-8.00
1.31
0.27
-2.92
-0.83
-0.17
0.43
-8.00
-8.00
-1.80
-7.00
0.51
-0.98
0.10
0.10
-7.00
-0.56
0.10
-8.00
-1.14
0.10
-1.14
-0.17
0.10
0.10
0.10
-0.83
-0.58
1.62
-9.00
-1.29
0.10
-8.00
1.62
-7.00
0.10
-2.09
1.62
0.27
-1.02
-9.00
0.24
-7.00
-2.92
-2.92
-2.92
-0.44
-8.00
0.10
0.94
-1.57
0.31
0.31
2.15
-8.00
-8.00
-1.57
-1.57
0.27
0.27
0.91
-0.94
-0.33
-0.33
0.91
-8.00
-0.97
-1.57
-0.33
-0.33
-0.33
-0.33
-0.33
1.52
0.91
2.15
-1.57
-1.57
0.91
-8.00
0.91
0.27
0.91
-1.57
-9.00
0.91
-1.57
2.15
0.91
0.27
-0.30
-0.33
-0.33
0.24
-8.00
-1.57
0.31
-3.10
-0.33
-1.88
0.28
-8.00
-8.00
-7.00
-0.47
1.69
0.10
0.10
-7.00
-7.00
0.10
0.10
-8.00
-0.33
-0.47
0.10
-0.89
-0.89
-0.89
-1.50
0.52
0.10
1.69
-9.00
0.05
-0.33
-8.00
0.10
1.69
0.71
-0.89
0.10
1.27
-0.89
-7.00
0.71
-0.33
-1.88
-0.33
-1.88
1.27
-8.00
-1.50
0.10
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15621
15622
15623
15624
15625
15626
15627
15628
15629
15631
15632
15633
15634
15635
15636
15638
15639
15641
15642
15643
2
1
2
1
1
1
2
2
2
1
1
1
1
2
2
1
2
1
2
1
1
2
1
2
2
1
2
1
1
1
2
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
-8
2
2
-8
3
-8
2
2
5
-8
-8
7
1
2
3
2
5
-8
2
4
2
2
4
3
5
2
5
4
2
-8
2
3
1
-8
4
2
5
-8
2
-8
5
3
2
2
2
2
3
-0.77
-0.62
-0.38
-1.66
1.12
-8.00
-0.34
-0.76
1.08
0.80
-0.41
1.21
-1.16
0.04
0.12
-0.77
1.33
-0.01
-0.52
0.62
-0.20
0.07
1.81
0.23
1.39
-0.11
-0.19
0.27
-0.19
-8.00
-0.43
-0.54
-1.18
-8.00
1.25
-1.25
1.32
-0.05
-0.76
0.64
1.37
0.04
-8.00
0.12
-0.56
-8.00
-0.14
-0.57
0.60
0.60
0.60
0.60
-8.00
0.60
1.76
-0.57
-9.00
-0.57
-0.57
-9.00
1.16
-0.57
0.60
-1.13
-0.57
-1.73
1.19
1.16
0.03
1.19
-9.00
-0.57
-1.73
-1.73
0.00
0.00
-8.00
0.03
0.00
0.60
-8.00
-0.57
0.60
1.19
-0.57
0.00
-0.57
0.00
0.60
-8.00
-0.57
-9.00
-8.00
-1.73
-7.00
-0.30
1.31
-0.47
0.27
-8.00
-1.33
-0.30
0.90
-9.00
-0.30
-2.13
-0.30
1.31
-0.30
-7.00
-0.93
0.50
-0.30
-1.74
1.31
-0.30
-7.00
-9.00
-1.33
-7.00
-0.30
-0.30
-0.70
-8.00
-7.00
-0.87
0.90
-8.00
0.90
-7.00
-0.30
-7.00
-0.30
-0.93
-0.93
1.31
-8.00
-2.37
-9.00
-8.00
-0.93
-7.00
0.10
0.10
-0.66
0.10
-8.00
0.10
0.51
0.10
-9.00
-0.69
0.94
-2.48
0.10
0.10
-7.00
-0.17
-0.17
-0.69
1.62
1.62
-0.30
-7.00
-9.00
-0.30
-7.00
-0.17
0.10
-1.41
-8.00
-7.00
0.51
0.10
-8.00
0.77
-7.00
1.23
-7.00
-0.13
0.10
0.10
-0.58
-8.00
-0.30
-9.00
-8.00
-1.68
0.27
0.91
-0.30
2.15
-0.33
-8.00
0.91
0.31
-0.33
1.55
-0.33
0.31
-9.00
0.91
2.15
0.88
-0.33
-0.33
0.31
2.15
0.91
-0.33
2.15
-9.00
0.27
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-1.57
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15644
15645
15646
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15650
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15652
15653
15654
15655
15656
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15658
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15660
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15664
15665
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15667
15668
15669
15670
15671
15672
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15675
15676
15677
15678
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15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
1
2
2
1
2
2
2
2
1
1
1
1
1
1
2
1
2
2
1
1
1
1
2
2
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
2
1
2
3
2
2
-8
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3
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4
4
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3
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-8
4
4
1
3
5
2
2
4
7
3
4
2
4
2
2
3
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1
3
2
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2
2
2
4
2
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3
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2
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15692
15693
15694
15695
15697
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15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
2
2
2
2
1
2
2
2
2
2
1
1
2
2
2
1
2
1
2
1
1
1
2
2
1
1
1
1
2
1
1
1
2
2
2
1
2
1
2
1
1
1
1
2
2
2
1
5
2
-8
-8
4
-8
3
-8
2
4
2
3
4
5
3
-8
4
3
4
2
-8
-8
2
-8
2
5
2
4
1
2
-8
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-8
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2
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3
5
2
2
3
4
3
2
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2
2
0.94
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15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15753
15754
15755
15756
15757
15758
15759
15761
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15763
15764
15766
15767
15768
15769
15771
15772
15773
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15775
15776
15777
15778
15779
15780
15782
15783
15784
15785
15786
15787
15789
15790
15791
15792
15793
1
1
1
1
1
2
1
1
1
2
1
1
2
1
2
2
1
1
2
1
1
2
2
2
2
2
1
2
1
2
1
1
1
2
1
1
1
2
2
2
1
2
2
1
1
1
1
5
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1
-8
2
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4
5
3
2
5
2
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2
1
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3
2
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5
2
2
3
4
4
4
2
3
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2
3
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2
2
2
4
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5
2
2
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2
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3
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15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15838
15840
15841
15842
15843
2
1
2
1
2
2
1
1
2
2
1
2
1
2
1
1
1
2
2
2
1
1
2
1
1
1
1
2
2
1
2
2
1
2
1
1
2
1
2
1
2
1
1
2
1
1
1
3
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2
2
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2
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4
3
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-8
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2
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1
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5
1
2
2
4
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4
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5
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2
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1
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3
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3
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2.15
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1.27
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0.10
1.27
1.69
0.71
0.71
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15869
15870
15871
15872
15874
15875
15876
15877
15878
15879
15880
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
2
1
1
1
1
2
2
2
1
2
1
1
2
2
1
1
2
2
2
1
1
1
1
1
1
1
2
2
2
1
2
2
1
4
-8
3
4
2
-8
-8
-8
4
2
5
4
-8
-8
1
-8
2
2
-8
4
-8
3
3
1
-8
2
2
2
2
7
-8
4
2
4
4
2
2
2
-8
2
2
3
-8
-8
4
-0.91
-0.02
0.41
0.25
0.39
-8.00
-0.73
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-8.00
-0.08
-0.38
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0.96
0.01
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0.14
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0.18
0.13
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0.98
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-0.83
0.04
-0.20
0.17
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-0.26
1.12
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0.26
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1.42
1.99
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-8.00
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0.76
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0.01
0.23
0.60
0.60
1.16
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1.16
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0.00
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0.03
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0.60
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0.60
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0.03
0.60
1.76
0.60
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0.60
1.31
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-8.00
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0.10
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1.62
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0.10
1.23
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1.34
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-8.00
0.10
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0.10
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0.10
1.62
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0.10
0.22
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0.16
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0.77
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0.49
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2.15
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1.52
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0.27
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2.15
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0.84
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-8.00
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0.57
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-7.00
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1.27
0.71
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
1
1
2
1
2
2
1
1
2
2
2
2
2
2
2
2
1
2
2
1
2
1
1
1
2
2
2
1
1
2
2
2
2
1
1
2
2
2
1
2
2
1
2
1
1
2
1
4
-8
-8
2
1
-8
-8
-8
-8
4
2
2
2
2
2
2
1
2
-8
2
-8
2
-8
2
5
2
2
2
-8
-8
2
-8
-8
2
-8
2
-8
2
2
2
2
4
2
-8
1
5
4
0.49
-0.09
-0.35
-8.00
-1.72
-0.11
-8.00
-8.00
0.36
-0.24
-0.44
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-0.57
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-0.63
-8.00
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-0.54
-0.69
1.21
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-0.59
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-0.75
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0.58
-0.15
-8.00
-0.49
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0.37
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0.00
-0.22
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-0.18
1.21
-0.61
0.11
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1.85
0.28
0.00
-0.57
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-8.00
1.76
0.60
-1.73
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0.60
1.76
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0.60
0.00
0.60
-8.00
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0.60
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0.00
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1.19
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1.16
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0.34
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1.31
0.50
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1.31
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0.27
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0.10
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0.10
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1.62
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-7.00
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15944
15945
15946
15947
15948
15949
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
2
2
1
1
2
1
1
2
1
1
2
2
2
1
2
1
2
2
2
1
2
1
2
2
1
1
1
2
2
1
1
1
2
2
1
1
1
2
2
2
1
1
2
1
1
1
1
-8
2
4
4
2
2
4
1
2
3
2
4
4
4
2
3
-8
2
5
1
3
1
-8
-8
2
3
2
5
3
3
-8
-8
3
-8
-8
5
2
4
1
4
-8
-8
4
2
-8
2
2
-8.00
-0.47
1.62
0.53
-0.40
-0.21
1.03
-0.51
-0.91
-0.19
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1.84
0.74
0.66
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0.47
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-8.00
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-0.33
-0.05
0.55
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-8.00
-0.04
1.41
-0.72
0.12
-1.24
0.86
0.06
-0.22
1.09
0.12
0.01
0.17
-0.48
-8.00
0.00
0.60
0.60
-0.53
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0.00
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0.60
0.00
-0.57
1.19
0.60
0.60
0.60
0.03
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1.19
0.00
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0.00
0.00
-8.00
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0.60
1.76
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0.60
0.60
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0.00
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-8.00
0.60
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1.76
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0.00
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0.60
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1.31
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0.90
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0.27
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0.90
1.31
1.31
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1.31
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0.50
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1.31
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1.31
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0.90
1.31
-0.07
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0.27
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-8.00
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0.51
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1.21
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0.10
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0.10
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0.10
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1.62
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0.27
1.21
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-8.00
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-8.00
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1.69
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1.69
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0.10
0.10
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1.27
1.69
0.71
-0.33
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16011
16012
16013
16014
16016
16017
16018
16019
16020
16021
16022
16023
16024
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
2
2
1
1
2
2
1
2
2
1
2
2
1
2
2
2
2
2
1
1
2
2
2
2
2
1
1
1
1
2
2
1
2
1
1
1
1
2
2
1
2
1
2
1
2
2
1
3
2
2
4
-8
4
2
-8
5
4
-8
1
-8
-8
-8
2
2
2
-8
-8
3
3
-8
-8
-8
-8
2
5
5
2
-8
-8
2
-8
2
4
2
4
2
-8
2
4
-8
-8
3
2
2
0.22
-0.10
-0.91
0.56
-0.42
0.81
-1.52
-8.00
-8.00
0.60
-8.00
-1.31
0.79
-0.30
0.13
0.10
0.16
-0.84
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0.32
0.40
0.58
-0.69
-8.00
-0.67
-8.00
0.00
0.76
1.39
-0.93
-0.26
-8.00
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-0.56
0.32
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1.06
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0.17
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0.05
-8.00
1.06
-0.71
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0.60
0.00
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0.00
0.60
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1.76
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-8.00
1.16
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0.03
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0.63
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0.03
0.60
0.03
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-8.00
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0.60
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-8.00
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0.60
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0.34
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0.11
0.27
0.90
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1.31
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1.31
-8.00
-9.00
1.31
0.67
1.31
0.04
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0.34
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1.31
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0.67
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-8.00
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1.21
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0.51
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1.62
-8.00
0.10
0.10
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0.10
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1.34
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-8.00
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-8.00
0.10
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0.10
-1.29
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-8.00
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-8.00
1.34
0.51
0.10
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0.10
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0.10
-8.00
0.10
0.10
-9.00
1.52
0.91
-0.33
0.91
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1.52
2.15
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-8.00
1.52
-8.00
-0.33
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0.91
-0.30
0.91
-0.30
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0.91
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1.52
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0.10
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0.10
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1.69
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1.27
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0.15
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0.10
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0.10
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16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
2
1
2
1
1
2
1
2
2
2
1
2
1
2
1
1
1
2
1
2
1
2
2
1
2
2
2
2
2
1
1
1
1
1
1
1
2
2
1
2
1
2
1
1
2
1
1
-8
-8
-8
1
2
2
3
-8
1
-8
-8
2
-8
-8
-8
4
2
5
3
4
4
4
-8
2
-8
2
2
4
2
5
1
2
2
4
2
-8
4
2
-8
5
3
-8
-8
-8
7
2
7
-0.20
-0.16
-8.00
-0.82
-0.73
-0.54
0.39
-0.60
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-8.00
-0.05
0.83
0.50
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0.26
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1.26
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1.17
0.17
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0.24
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1.48
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0.02
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0.43
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0.94
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0.48
1.48
1.29
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-8.00
1.61
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1.45
0.60
-0.57
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0.03
0.60
0.00
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0.03
0.03
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0.60
0.60
-1.73
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0.60
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0.60
1.76
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0.60
0.60
0.60
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0.60
0.60
0.63
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0.00
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1.19
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0.60
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1.31
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1.31
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0.67
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0.10
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0.10
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1.62
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0.10
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0.10
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1.62
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1.69
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0.23
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1.69
0.28
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-8.00
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16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16120
16121
16122
16123
16124
16126
16127
16129
16130
16131
16133
16134
16135
16136
16137
16138
16139
16140
16143
1
2
2
2
1
2
2
1
2
2
2
2
2
2
2
2
1
2
2
1
1
1
1
2
2
1
2
1
2
2
1
2
2
1
1
1
2
1
2
2
2
2
2
2
1
2
2
-8
2
2
3
2
-8
4
7
4
2
1
-8
2
4
4
-8
2
4
-8
2
3
2
2
3
-8
-8
4
1
5
-8
4
3
4
-8
-8
4
5
-8
3
2
4
-8
4
-8
5
5
2
-8.00
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0.45
0.15
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0.62
2.48
1.20
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0.14
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0.02
-8.00
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0.99
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0.40
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0.03
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0.55
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0.10
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1.34
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2.15
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16144
16145
16146
16147
16148
16149
16150
16152
16153
16154
16155
16156
16157
16158
16159
16160
16161
16162
16163
16164
16166
16167
16168
16169
16170
16171
16172
16173
16174
16176
16177
16178
16179
16180
16181
16182
16183
16184
16185
16186
16187
16188
16189
16190
16191
16192
16193
1
1
1
1
2
1
2
2
2
2
2
2
2
2
1
1
2
2
2
2
1
1
1
1
2
1
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
1
1
1
1
2
4
2
1
-8
3
2
4
-8
1
5
-8
-8
3
-8
-8
3
4
-8
4
2
-8
-8
3
-8
3
-8
-8
2
2
-8
4
-8
1
5
5
3
2
2
7
4
-8
4
4
-8
2
5
2
0.91
-1.01
-1.21
0.30
0.18
0.02
0.94
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1.51
0.23
-8.00
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0.35
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0.52
0.54
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1.43
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0.06
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0.20
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0.53
0.35
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0.09
1.06
0.08
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0.85
-8.00
-0.27
0.92
0.45
0.35
1.56
1.19
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0.60
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0.60
1.16
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1.16
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0.00
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0.60
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1.76
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-8.00
1.76
0.00
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1.19
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0.60
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0.03
1.16
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0.06
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-8.00
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1.76
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1.31
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0.34
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-8.00
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0.10
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0.10
0.10
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0.10
0.10
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0.10
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0.10
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0.10
16194
16195
16196
16198
16199
16200
16201
16202
16204
16205
16206
16207
16208
16209
16210
16213
16214
16215
16216
16218
16220
16221
16222
16223
16224
16225
16226
16227
16228
16229
16230
16231
16232
16233
16234
16235
16236
16237
16238
16239
16240
16241
16242
16243
16244
16245
16246
1
2
2
1
2
2
1
2
2
2
2
1
2
1
1
1
2
2
1
2
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
2
1
2
-8
-8
-8
4
-8
2
4
5
2
-8
-8
3
4
2
3
5
-8
3
2
2
2
3
5
2
2
2
4
5
7
4
4
3
-8
4
-8
3
2
4
4
-8
7
2
2
3
2
2
-0.36
0.07
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-8.00
0.58
0.06
0.11
0.45
1.71
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0.27
0.50
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0.90
1.31
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0.67
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-8.00
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0.67
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0.10
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0.55
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0.27
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0.10
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0.10
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0.10
0.55
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0.12
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-8.00
1.21
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1.62
1.62
1.62
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0.27
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0.91
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0.91
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0.27
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-0.33
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16247
16248
16249
16250
16251
16252
16253
16255
16256
16257
16259
16261
16263
16264
16265
16267
16268
16269
16270
16271
16272
16273
16274
16275
16276
16277
16278
16279
16280
16281
16282
16283
16284
16285
16286
16287
16288
16289
16290
16291
16292
16293
16294
16295
16296
16297
16298
2
2
2
1
1
1
2
2
2
1
1
1
2
2
1
2
2
2
2
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
1
1
2
1
1
2
1
1
2
2
1
2
1
-8
2
4
2
2
4
2
1
1
4
3
2
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2
2
4
2
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4
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-8
1
-8
2
-8
-8
2
2
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5
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2
4
3
2
-8
-8
2
2
3
2
2
2
3
2
4
1
0.27
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16299
16300
16301
16302
16303
16304
16305
16306
16308
16309
16310
16311
16312
16313
16314
16315
16316
16317
16318
16319
16320
16321
16322
16323
16324
16325
16326
16328
16329
16330
16331
16332
16333
16334
16335
16336
16337
16338
16339
16340
16341
16342
16343
16344
16345
16346
16347
1
2
1
2
2
1
2
2
1
2
1
2
1
2
2
2
2
1
2
1
1
1
2
1
2
1
2
2
2
1
1
2
2
2
1
2
2
1
2
1
2
1
1
1
2
2
1
5
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2
2
-8
4
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1
3
4
4
4
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5
3
3
-8
7
4
2
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3
5
4
2
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2
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3
3
2
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3
2
3
3
2
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4
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1
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16349
16350
16351
16352
16353
16354
16355
16356
16357
16358
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16360
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16362
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16364
16365
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16369
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16372
16374
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16376
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16378
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16380
16381
16383
16384
16385
16386
16387
16388
16389
16390
16391
16392
16393
16394
16395
16396
16397
16398
2
1
2
2
1
1
1
2
1
2
1
2
1
2
2
1
2
2
1
2
2
1
1
1
2
2
2
2
2
1
2
2
1
1
1
1
2
2
2
1
1
2
2
2
1
1
2
-8
4
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3
-8
2
3
4
-8
2
4
2
2
7
2
-8
4
-8
2
2
3
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5
2
1
2
4
-8
7
-8
7
-8
3
2
4
1
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2
2
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2
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1
2
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16399
16400
16401
16402
16403
16404
16405
16406
16407
16408
16409
16410
16411
16412
16413
16414
16415
16416
16417
16418
16419
16420
16421
16422
16424
16426
16427
16428
16429
16430
16431
16432
16433
16434
16435
16436
16437
16438
16439
16440
16441
16442
16443
16444
16445
16446
16447
1
2
2
1
2
1
1
1
1
1
1
2
1
2
2
2
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
2
2
2
1
2
1
1
1
2
1
1
5
4
3
4
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2
2
3
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2
2
5
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4
7
2
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4
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2
3
1
2
-8
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3
2
2
3
2
2
4
4
5
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1
2
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4
3
2
7
2
2
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16448
16450
16451
16452
16453
16454
16455
16456
16457
16458
16459
16460
16461
16462
16463
16464
16465
16466
16467
16468
16470
16471
16472
16473
16474
16475
16476
16480
16481
16482
16483
16484
16485
16486
16487
16488
16489
16490
16491
16493
16494
16495
16496
16497
16498
16499
16500
2
1
2
2
2
2
1
2
2
1
2
2
1
2
1
2
2
2
2
1
2
2
2
2
1
2
2
2
1
2
2
2
1
2
2
1
1
2
2
1
1
2
2
2
2
2
1
-8
4
-8
4
-8
5
5
-8
-8
-8
-8
2
-8
2
4
4
5
2
4
-8
-8
3
3
-8
1
1
5
4
4
2
-8
2
7
4
4
1
2
2
-8
2
3
-8
4
-8
2
-8
2
-8.00
1.53
0.52
0.77
0.68
1.05
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16501
16503
16505
16506
16507
16508
16509
16510
16511
16512
16513
16515
16516
16517
16518
16519
16520
16521
16522
16523
16525
16526
16527
16528
16529
16530
16531
16532
16533
16534
16535
16536
16537
16538
16539
16540
16542
16543
16544
16545
16546
16548
16549
16550
16551
16552
16553
1
1
2
1
2
2
2
2
2
2
2
2
1
2
2
1
2
2
2
1
1
2
2
2
1
1
2
2
2
2
1
2
2
2
1
1
2
2
2
1
1
1
2
2
1
1
2
2
-8
2
2
-8
5
3
-8
2
4
4
4
-8
4
3
5
4
4
2
-8
2
3
5
-8
-8
4
-8
1
4
-8
2
3
2
4
3
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3
2
2
4
4
2
2
2
-8
3
2
0.03
0.55
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0.04
0.21
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16554
16555
16556
16557
16558
16559
16560
16561
16562
16563
16564
16565
16566
16567
16568
16569
16570
16572
16573
16574
16575
16576
16577
16578
16579
16580
16581
16582
16583
16584
16585
16586
16587
16588
16589
16590
16593
16594
16595
16596
16597
16598
16599
16600
16601
16602
16603
1
2
2
1
1
2
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
2
2
2
2
1
2
2
1
1
2
2
2
2
1
1
2
1
1
1
2
1
1
1
1
2
3
3
2
4
-8
2
3
2
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2
5
-8
4
2
2
2
4
4
2
-8
4
1
2
2
2
2
3
-8
5
7
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5
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4
4
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4
1
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2
2
2
4
2
2
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16604
16605
16606
16607
16608
16609
16611
16612
16613
16614
16615
16616
16617
16618
16619
16620
16621
16622
16623
16624
16625
16626
16627
16628
16629
16631
16632
16633
16634
16635
16636
16637
16638
16639
16640
16641
16642
16643
16644
16645
16646
16647
16648
16649
16650
16651
16652
1
2
2
2
1
1
2
1
2
2
2
2
2
1
2
1
1
2
2
2
1
1
2
2
1
1
2
2
2
1
2
1
2
1
1
2
2
2
2
1
1
2
2
1
1
1
1
2
5
4
2
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4
2
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4
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-8
1
3
2
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1
7
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4
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1
3
2
2
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3
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4
2
2
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1
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3
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2
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1
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2.15
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0.10
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0.10
1.69
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0.10
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0.10
-9.00
16653
16654
16655
16656
16657
16658
16659
16660
16661
16662
16663
16664
16665
16666
16667
16668
16669
16670
16671
16672
16673
16674
16675
16676
16677
16678
16679
16680
16681
16682
16683
16684
16686
16687
16688
16689
16690
16691
16692
16693
16694
16695
16696
16697
16698
16699
16700
1
1
2
2
2
2
1
1
2
2
2
2
1
2
2
1
2
2
1
2
2
1
1
1
2
1
1
2
1
2
1
1
2
2
1
1
2
1
2
2
2
2
1
1
1
1
2
5
2
4
2
4
3
4
4
5
5
2
4
2
3
3
2
-8
4
-8
5
2
2
3
5
2
2
3
-8
2
2
2
-8
-8
2
4
4
4
3
5
-8
-8
2
5
-8
1
4
-8
0.44
-0.68
0.21
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0.23
0.05
1.09
1.63
0.39
1.02
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0.62
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0.78
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0.07
1.14
1.37
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0.72
0.00
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0.87
0.01
1.24
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0.63
0.42
1.41
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0.16
1.26
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0.58
0.62
-8.00
1.76
0.60
0.00
0.60
0.60
0.60
1.76
0.00
1.76
0.60
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0.60
0.03
0.60
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1.16
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0.00
1.76
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0.60
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1.16
1.16
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0.60
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0.03
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0.00
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1.31
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1.34
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0.80
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0.51
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0.10
0.10
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1.62
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0.24
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0.10
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1.21
0.38
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1.62
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0.31
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1.52
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2.15
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1.55
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1.52
0.91
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2.15
0.91
-0.33
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2.15
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0.91
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0.10
0.10
0.10
0.10
-0.33
1.27
0.10
1.27
0.10
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0.66
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0.84
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0.10
0.66
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0.10
0.10
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0.23
1.69
1.69
0.10
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0.66
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0.71
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-8.00
16701
16702
16703
16704
16705
16706
16707
16708
16710
16711
16713
16714
16715
16716
16717
16719
16720
16722
16723
16724
16725
16726
16727
16728
16729
16730
16731
16733
16734
16735
16736
16737
16738
16739
16740
16741
16742
16743
16744
16745
16746
16747
16748
16749
16750
16751
16752
1
2
2
2
1
1
1
1
2
1
2
2
2
1
1
2
1
1
1
1
1
2
2
2
2
1
2
2
1
1
1
1
2
2
2
2
2
1
2
1
1
2
1
1
1
2
1
-8
1
7
1
-8
-8
7
1
4
3
7
1
-8
-8
4
-8
3
3
-8
-8
-8
2
4
1
-8
2
2
4
2
-8
2
2
4
2
-8
-8
-8
2
3
-8
3
4
-8
-8
4
7
4
-8.00
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0.50
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-8.00
0.97
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0.20
0.02
2.57
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0.41
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0.98
-8.00
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1.17
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0.30
0.56
0.49
0.72
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1.30
1.26
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1.76
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0.00
0.60
0.03
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1.19
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-8.00
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0.00
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0.60
0.60
0.00
0.00
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0.63
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1.31
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1.62
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0.55
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16753
16754
16755
16756
16757
16758
16759
16760
16761
16762
16764
16765
16766
16767
16768
16769
16770
16771
16773
16774
16775
16776
16777
16778
16779
16780
16781
16782
16784
16785
16786
16787
16788
16789
16790
16791
16793
16795
16797
16798
16799
16801
16802
16803
16804
16805
16806
1
1
1
1
1
2
1
2
1
1
2
2
1
1
2
1
2
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
1
2
1
2
1
1
1
2
1
3
-8
-8
4
2
-8
4
2
3
4
3
1
2
1
3
1
3
-8
-8
7
-8
2
4
-8
2
2
1
-8
5
4
2
4
2
2
-8
2
3
2
-8
2
-8
2
5
4
5
-0.85
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0.58
0.38
0.05
0.45
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0.15
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0.18
0.71
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0.01
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0.75
0.11
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2.52
1.41
0.25
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0.37
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1.31
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0.90
0.09
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1.15
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0.18
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0.14
0.64
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0.60
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1.19
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0.60
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0.60
0.03
0.00
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0.03
1.16
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1.19
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0.03
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1.16
0.60
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0.03
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1.76
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0.27
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1.31
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0.38
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1.34
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0.82
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1.52
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1.55
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1.55
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0.10
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0.10
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1.27
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1.27
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1.27
1.13
0.15
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16807
16808
16809
16810
16811
16812
16813
16814
16815
16816
16817
16818
16819
16820
16821
16822
16823
16824
16825
16826
16827
16828
16830
16831
16832
16833
16834
16835
16837
16838
16839
16840
16841
16842
16843
16845
16847
16848
16849
16850
16851
16852
16853
16854
16855
16856
16857
2
1
2
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
1
2
1
1
2
2
1
1
2
2
2
1
2
2
2
1
2
2
1
1
1
1
2
2
1
2
2
4
-8
2
4
3
5
2
3
2
3
-8
4
2
4
-8
-8
1
3
-8
4
5
4
-8
-8
4
2
2
2
4
4
-8
4
5
5
1
3
3
2
3
2
4
2
5
3
2
1
2
1.14
-0.75
0.75
-0.21
0.31
1.26
-0.26
-0.57
-0.29
-0.47
0.02
0.81
-1.39
0.71
-0.52
-8.00
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0.05
0.31
1.72
0.28
-0.26
-0.55
0.42
-0.66
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1.16
0.66
-0.43
-0.38
0.69
1.02
-0.87
-0.33
-0.33
-1.25
0.91
1.04
0.27
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1.53
0.61
-1.09
-1.32
-0.55
1.19
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1.76
0.03
0.03
1.76
1.16
0.63
0.03
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-0.57
0.60
0.00
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-0.57
-8.00
0.00
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0.60
0.60
0.60
-0.57
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1.76
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1.76
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0.60
0.60
0.60
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0.60
0.03
0.03
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0.60
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0.00
1.76
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0.60
0.60
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0.34
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-7.00
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1.62
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1.62
0.51
0.10
1.62
1.62
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1.62
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0.10
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0.10
1.62
1.34
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1.34
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1.62
0.10
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0.10
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0.55
0.10
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0.10
0.10
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0.10
0.94
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-7.00
-1.41
2.15
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1.52
0.91
-0.30
2.15
0.91
2.15
-0.33
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0.27
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1.13
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16858
16859
16860
16861
16862
16863
16864
16865
16866
16867
16868
16869
16870
16871
16872
16873
16874
16875
16876
16877
16878
16879
16880
16881
16882
16883
16884
16885
16886
16887
16888
16889
16890
16891
16892
16893
16894
16895
16896
16897
16898
16899
16901
16902
16903
16905
16906
1
1
1
1
2
1
2
1
2
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
2
2
1
2
2
1
2
2
1
2
1
1
1
1
1
1
4
4
3
3
3
-8
3
3
-8
-8
-8
2
3
-8
3
2
2
-8
2
-8
5
-8
1
2
-8
-8
2
3
2
2
-8
4
-8
4
-8
7
3
2
3
4
3
-8
4
2
-8
1
3
0.92
0.41
0.58
0.45
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0.19
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16907
16908
16909
16910
16911
16912
16913
16914
16915
16916
16917
16919
16920
16921
16922
16923
16924
16925
16926
16927
16928
16929
16930
16931
16932
16933
16934
16935
16936
16937
16938
16939
16940
16941
16942
16943
16944
16945
16946
16947
16948
16949
16950
16951
16952
16953
16954
1
1
1
2
2
2
1
2
1
2
2
1
2
1
1
1
2
2
1
1
1
2
2
2
2
1
2
2
2
1
1
1
2
1
2
1
2
1
1
2
1
1
1
2
1
2
1
1
1
3
-8
-8
2
-8
1
2
4
4
-8
-8
4
2
3
1
3
2
2
2
-8
-8
5
3
4
-8
3
-8
2
-8
2
-8
4
-8
-8
-8
7
2
4
4
-8
2
2
4
1
-8
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0.10
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16955
16957
16959
16960
16961
16962
16963
16964
16965
16966
16967
16968
16969
16970
16971
16972
16973
16974
16975
16976
16977
16978
16980
16981
16982
16983
16984
16985
16986
16988
16989
16990
16991
16992
16993
16994
16995
16996
16997
16998
16999
17000
17001
17002
17003
17004
17005
1
2
2
2
2
1
2
2
2
2
2
2
2
2
2
1
1
2
2
2
1
2
2
2
1
2
2
1
2
1
1
2
2
1
1
1
2
2
2
1
2
2
1
2
2
2
1
3
2
2
2
3
5
5
-8
2
7
7
-8
4
4
1
5
4
2
5
3
5
2
3
2
3
3
2
5
2
1
-8
2
3
4
4
2
1
4
2
4
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2
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-8
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0.18
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1.15
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17006
17007
17009
17010
17011
17012
17013
17014
17015
17016
17017
17018
17019
17020
17021
17022
17023
17024
17025
17026
17027
17028
17030
17031
17032
17033
17034
17036
17037
17038
17039
17040
17041
17042
17043
17044
17045
17046
17047
17048
17049
17050
17051
17052
17053
17054
17055
1
1
2
1
1
1
1
2
1
2
1
2
1
2
1
2
2
2
2
1
2
2
2
1
2
2
2
1
1
1
2
1
1
2
2
2
2
1
2
2
2
1
1
2
1
1
2
-8
2
2
4
2
2
1
2
4
2
2
-8
-8
2
4
4
-8
-8
2
3
-8
2
-8
5
5
1
-8
4
1
-8
2
-8
4
1
5
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2
4
4
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2
2
2
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-8
5
4
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0.09
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0.34
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0.10
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0.27
-1.57
0.27
-1.57
0.27
0.27
0.91
-0.94
0.91
-0.97
-8.00
-0.33
0.91
-0.33
-0.94
1.52
-8.00
0.91
-1.57
0.91
-1.57
-0.33
-0.94
0.31
0.91
-8.00
0.91
-0.33
0.91
-8.00
-1.57
0.91
-0.94
-0.94
-0.33
0.91
1.55
-8.00
0.10
0.10
0.23
0.57
-0.89
0.10
0.57
0.10
-8.00
1.69
-1.45
1.69
-7.00
-7.00
-7.00
-0.33
0.71
1.27
1.27
-8.00
-7.00
1.69
0.71
-0.47
1.69
-8.00
1.69
0.10
1.13
-7.00
-7.00
0.10
0.66
0.10
-8.00
-0.33
0.10
-7.00
-8.00
-1.32
0.71
1.69
-0.33
-0.33
0.10
-0.33
17056
17057
17058
17060
17061
17062
17063
17064
17065
17066
17067
17068
17069
17070
17071
17073
17074
17075
17076
17078
17079
17080
17081
17082
17083
17084
17085
17086
17087
17089
17090
17091
17092
17093
17094
17095
17096
17097
17098
17099
17100
17101
17102
17103
17104
17105
17106
2
2
1
2
2
1
1
1
2
2
2
1
2
1
1
2
2
1
2
1
2
2
1
1
2
2
2
2
2
2
2
1
1
1
2
1
2
1
2
1
1
1
1
2
1
2
1
4
3
-8
2
-8
-8
4
2
1
-8
2
-8
2
2
3
4
-8
3
4
2
2
4
1
2
4
4
-8
3
2
4
-8
2
2
2
1
2
4
-8
1
-8
4
5
2
2
4
4
2
0.33
-0.01
-8.00
0.02
-0.05
0.94
-8.00
-0.55
-1.06
-0.36
-0.38
-0.99
0.14
-0.49
0.54
0.37
-0.56
-0.20
0.89
-0.40
-0.78
0.93
-0.85
-0.78
0.95
2.02
-0.33
0.22
-0.12
1.30
0.07
0.10
-0.32
0.68
-1.04
-0.33
0.36
0.05
-1.11
-0.28
0.77
0.05
-0.41
-1.32
0.41
1.80
-0.49
1.76
0.03
-8.00
-0.60
1.16
0.60
-8.00
-0.57
-1.16
-1.16
1.16
0.60
0.00
0.60
1.76
1.19
-0.57
-0.57
-0.57
-1.13
-1.73
-0.57
1.16
0.03
0.60
0.00
0.63
0.60
-0.57
1.76
0.00
0.60
0.60
-0.57
-0.57
1.16
0.60
-0.57
0.60
0.60
-1.73
0.60
0.60
0.00
0.60
0.60
1.16
0.90
-7.00
-8.00
-0.13
0.67
-0.30
-8.00
-0.30
-0.30
-1.04
-7.00
1.31
0.67
0.11
-0.70
1.31
-0.93
-2.53
-0.70
-0.70
-1.90
-0.30
-0.30
0.27
0.90
0.67
-3.51
-2.37
-0.36
0.04
0.90
-0.30
-0.30
-0.30
0.27
-0.30
-9.00
0.27
-0.30
1.31
0.90
0.34
1.31
0.34
-7.00
-0.93
-0.30
0.78
-7.00
-8.00
1.62
1.07
0.10
-8.00
-0.17
-0.58
-0.58
-7.00
1.62
1.62
0.51
1.62
0.95
0.10
-1.58
0.10
-0.58
-2.92
-1.41
0.16
1.62
0.10
0.10
-0.17
0.10
0.09
1.62
0.10
-0.29
-0.56
-0.17
-0.97
0.95
1.62
0.10
0.10
0.49
0.10
-0.17
0.10
-0.17
-7.00
0.95
-0.29
0.27
-0.33
-8.00
-1.57
2.15
-0.33
-8.00
0.27
0.91
0.91
0.91
0.91
-0.33
-0.33
2.15
-0.33
-1.57
-0.97
-0.97
-1.57
-1.57
0.27
-1.57
-0.33
-0.33
-1.57
-0.33
0.31
0.91
0.91
-0.33
-0.33
-0.33
0.91
-0.33
0.91
0.27
0.91
-0.33
-0.33
0.27
-0.33
-0.97
-0.33
-0.33
-0.33
0.27
-7.00
-0.33
-8.00
-1.88
-9.00
-0.89
-8.00
-0.33
-0.33
-0.89
0.10
1.69
-0.33
-0.89
-7.00
0.28
-0.33
-7.00
-0.33
-0.33
-1.50
0.10
-0.89
-7.00
-0.33
0.10
0.10
-0.47
1.13
0.57
0.10
-1.50
-0.89
-9.00
0.10
0.10
-0.89
0.10
0.10
0.10
-0.33
-7.00
1.69
0.10
-0.47
-7.00
0.10
17107
17108
17109
17110
17111
17112
17113
17114
17115
17116
17117
17118
17119
17120
17121
17122
17123
17124
17126
17127
17128
17129
17130
17131
17132
17133
17134
17135
17137
17138
17139
17140
17141
17142
17143
17144
17145
17146
17147
17149
17150
17151
17152
17153
17155
17156
17157
1
1
2
2
2
2
1
2
2
1
1
2
1
2
1
2
1
2
2
2
2
2
2
1
1
1
1
2
2
2
2
2
1
1
2
2
2
1
1
2
2
1
2
1
1
1
2
2
1
2
2
2
4
-8
-8
2
-8
-8
4
2
7
2
4
2
-8
1
2
4
4
-8
7
3
-8
-8
4
1
7
2
4
-8
-8
2
5
5
1
2
3
3
2
2
-8
2
3
5
-1.00
-0.94
-0.63
0.49
0.65
0.92
-0.11
-8.00
-0.52
-0.85
-0.07
1.16
-1.05
1.80
-0.33
1.30
-0.78
-0.59
-1.72
-0.47
-0.06
0.90
-0.28
0.70
0.05
-0.52
-0.18
-0.04
-1.14
1.88
0.31
0.30
-0.77
0.47
-0.07
1.36
1.26
-1.16
0.00
-0.05
0.15
-1.30
0.87
0.50
0.29
-0.87
1.99
0.60
0.00
-1.16
0.60
-1.73
0.60
0.00
-8.00
0.60
-1.73
0.60
-1.73
0.00
1.19
-0.03
0.60
0.60
0.60
0.60
-0.53
0.60
1.76
-0.57
-1.73
-0.57
-0.57
0.60
-0.57
-0.57
-0.57
1.16
-0.57
-1.13
-0.57
0.60
0.60
0.63
0.03
-1.16
0.00
-0.53
0.00
-0.57
-0.57
-0.57
-0.57
0.60
-0.93
-1.33
-1.43
-0.30
-7.00
-0.70
-7.00
-8.00
-7.00
-7.00
0.90
-0.30
-9.00
-0.30
1.31
0.27
-7.00
-0.30
-0.30
0.04
-0.30
0.90
1.31
-7.00
-0.30
-7.00
0.50
0.67
1.31
-2.94
-7.00
-0.70
-7.00
0.50
-0.30
1.31
0.27
0.67
0.11
-0.30
-0.36
1.31
0.27
-0.93
0.27
-0.30
1.31
-0.17
-0.61
0.10
0.27
-7.00
-0.56
-7.00
-8.00
-7.00
-7.00
0.77
-1.68
-0.69
1.62
1.07
1.34
-7.00
0.10
0.10
0.10
0.10
-0.17
-0.61
-7.00
-1.41
-7.00
1.62
0.66
-0.97
-0.97
-7.00
0.10
-7.00
0.24
0.10
0.94
1.34
-9.00
0.27
0.10
1.62
0.24
0.10
-0.58
0.10
-0.17
0.55
0.91
-0.33
-1.57
0.91
-0.97
0.91
0.27
-8.00
-0.33
-1.57
-1.57
-0.97
-1.57
1.55
2.15
0.31
-0.33
0.27
0.91
0.31
-0.33
0.91
-1.57
0.88
-0.33
0.31
-1.57
0.27
-1.57
-0.33
0.31
-0.33
-0.33
-0.97
0.91
0.31
0.91
-0.33
0.91
-0.33
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0.91
-0.33
0.91
-0.33
0.91
0.27
-0.89
-0.47
-2.07
-1.50
-1.45
0.23
-7.00
-8.00
-7.00
-7.00
-1.45
-1.64
-0.33
0.10
1.69
0.71
-7.00
0.10
-0.89
-0.89
-0.47
1.27
0.10
0.41
-0.52
-7.00
-0.15
1.13
0.10
1.13
-0.47
-0.89
-7.00
-0.89
0.10
0.71
1.27
-0.89
0.71
0.52
-0.28
0.10
0.71
-0.33
0.28
0.10
0.71
17158
17159
17160
17161
17162
17163
17164
17165
17167
17168
17169
17170
17171
17172
17173
17174
17175
17176
17177
17178
17179
17180
17181
17182
17183
17184
17185
17186
17187
17188
17189
17190
17192
17193
17194
17195
17196
17197
17198
17199
17200
17202
17203
17204
17205
17206
17207
2
1
2
1
2
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
2
2
2
2
2
1
1
2
1
1
1
1
2
2
2
2
1
1
1
1
2
2
1
3
-8
-8
-8
3
7
-8
2
-8
-8
2
4
2
2
7
-8
3
3
2
4
2
2
-8
2
-8
2
3
5
4
-8
4
4
2
4
4
-8
-8
-8
-8
4
2
4
-8
4
-8
3
4
-0.20
-0.29
-0.28
-8.00
0.46
1.84
-0.50
-0.27
-0.42
-8.00
-0.19
0.56
0.03
-0.28
1.60
-0.53
-0.22
-0.53
-1.08
0.99
0.16
0.16
-0.72
-0.45
0.27
-0.70
1.39
0.68
0.49
-0.40
1.30
0.71
-0.08
1.02
0.11
-0.62
-0.38
-0.89
0.46
0.96
-1.10
0.27
-0.52
0.30
0.13
-0.09
1.16
0.03
-1.73
1.19
-8.00
1.16
-1.73
-1.73
-1.13
-1.73
-8.00
-1.73
0.60
1.76
1.19
-0.57
-0.53
0.60
1.16
0.60
-1.73
-0.57
1.16
-0.57
0.60
0.00
-1.16
1.19
1.19
-1.13
-0.57
-0.57
-0.57
0.60
0.03
-0.57
1.76
-0.57
-0.57
-1.73
1.16
-9.00
1.76
-1.73
1.76
-1.73
0.00
1.76
-0.13
-0.30
-7.00
-8.00
0.67
-0.30
-0.30
-0.70
0.90
-8.00
-7.00
1.31
-7.00
1.31
0.90
-1.40
0.90
-0.93
0.27
-0.30
-7.00
-0.70
0.90
-0.70
-7.00
0.90
1.31
-0.53
-2.87
1.31
-0.70
-0.30
1.31
-0.93
-0.13
1.31
-0.30
-1.33
-0.30
1.31
-7.00
1.31
1.31
0.27
-1.33
-7.00
-0.36
-0.17
-0.17
-7.00
-8.00
1.62
-1.41
-1.41
-0.58
-2.92
-8.00
-7.00
1.62
-7.00
-0.17
-1.41
1.62
0.49
0.95
-1.00
-0.29
-7.00
0.51
-0.58
-1.41
-7.00
-0.73
0.10
-0.52
-1.41
0.10
-0.58
0.10
0.10
-0.34
0.51
1.62
1.34
-1.41
0.10
0.10
-7.00
1.62
-0.30
0.49
-1.41
-7.00
0.55
-0.94
-1.57
-0.94
-8.00
-0.30
0.91
-1.57
-1.57
-0.33
-8.00
-1.57
0.91
2.15
0.91
-1.57
0.27
-9.00
0.31
-0.33
-0.33
2.15
0.27
-0.94
0.27
0.91
0.91
0.91
0.94
-0.33
-0.33
0.91
-1.57
0.91
1.52
0.27
1.55
0.31
-0.33
-0.33
0.31
0.27
-0.94
-1.57
2.15
-0.33
-0.97
2.15
-0.33
-2.68
-7.00
-8.00
0.71
0.28
-0.33
0.10
-1.88
-8.00
-0.89
1.08
0.71
0.71
0.10
0.57
-0.33
-0.89
-0.89
-1.32
1.69
0.71
-0.89
0.10
-7.00
0.71
1.69
-0.71
-0.33
-0.33
0.10
-7.00
1.27
0.15
-7.00
1.27
0.10
-7.00
0.71
0.66
0.10
-0.89
-0.33
0.23
-0.33
0.52
0.71
17208
17209
17210
17211
17212
17213
17214
17215
17216
17218
17219
17220
17221
17222
17223
17224
17225
17226
17227
17228
17229
17230
17232
17233
17234
17235
17236
17237
17238
17239
17240
17241
17242
17243
17244
17245
17246
17247
17248
17249
17250
17251
17252
17253
17254
17255
17256
2
1
1
1
1
2
1
1
2
1
2
1
2
2
1
2
1
1
1
1
1
1
2
1
2
1
2
1
2
1
1
2
1
2
2
1
2
1
2
1
1
2
1
2
1
1
2
2
-8
4
5
2
-8
-8
-8
-8
3
2
-8
-8
-8
5
2
-8
5
2
2
4
4
-8
2
4
4
2
-8
4
-8
-8
4
-8
-8
-8
-8
-8
3
5
-8
-8
4
2
2
4
1
3
-0.25
-8.00
0.45
0.77
-0.01
-0.60
-0.75
-8.00
0.01
-0.54
-0.80
-0.91
-0.51
-8.00
1.02
-0.10
0.04
0.63
-0.78
-0.49
-0.05
1.12
-0.24
-0.40
0.77
1.11
-0.19
-0.50
1.44
-8.00
-0.21
0.64
-8.00
-8.00
0.78
0.48
-0.02
0.45
1.00
-8.00
-0.49
0.46
0.37
-1.17
1.26
-1.51
0.22
0.03
-8.00
0.60
0.60
0.60
0.60
-0.57
-8.00
-0.57
0.60
-1.73
-0.57
-1.13
-8.00
1.76
-0.57
-0.60
0.60
1.76
0.60
-1.73
0.60
0.60
-0.57
-0.57
1.19
0.03
-0.57
0.03
-8.00
1.16
0.60
-8.00
-8.00
1.16
-1.73
-0.57
0.03
-9.00
-8.00
-0.57
-0.57
1.76
-0.57
1.76
-0.57
0.00
-0.30
-8.00
0.27
-2.37
0.11
-0.30
-0.30
-8.00
-0.30
0.90
-0.30
-0.70
-0.07
-8.00
1.31
-0.70
-7.00
-0.70
1.31
-0.53
-7.00
-0.13
-0.30
0.90
-0.13
-0.30
0.50
-0.07
0.50
-8.00
1.31
-0.30
-8.00
-8.00
0.11
-0.30
-0.93
0.50
-0.30
-8.00
1.31
-1.50
-3.51
1.31
1.31
-3.51
0.27
0.10
-8.00
1.17
1.62
0.94
0.10
-0.17
-8.00
-1.41
1.62
-2.92
-0.17
-0.58
-8.00
1.62
-0.17
-7.00
0.10
1.62
1.62
-7.00
0.10
-0.73
-0.17
-0.17
0.36
0.49
-0.56
0.10
-8.00
0.51
0.10
-8.00
-8.00
0.10
-1.31
-0.69
-0.30
1.62
-8.00
0.27
-2.09
-2.92
-1.41
1.62
-0.29
-1.41
-0.33
-8.00
0.91
0.91
0.27
-0.33
-0.33
-8.00
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0.91
0.91
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-8.00
0.91
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0.91
1.52
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0.31
0.27
2.15
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0.91
2.15
0.91
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0.91
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0.91
0.91
-8.00
0.91
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2.15
-0.33
0.27
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0.71
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-8.00
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1.27
0.10
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1.27
0.10
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0.10
0.10
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1.69
0.23
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0.10
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-9.00
-8.00
1.69
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0.10
0.10
1.69
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-0.33
17257
17258
17259
17260
17261
17262
17263
17264
17265
17266
17267
17269
17270
17271
17272
17273
17274
17276
17277
17278
17279
17280
17281
17283
17284
17285
17286
17287
17288
17289
17290
17291
17292
17293
17294
17295
17296
17297
17298
17299
17300
17301
17302
17304
17305
17306
17307
1
1
1
1
2
1
1
2
1
1
2
1
2
1
1
1
1
2
2
2
2
1
2
1
2
1
1
2
2
2
1
1
2
1
1
1
2
1
2
2
1
2
2
1
1
1
1
2
3
2
7
-8
1
3
1
4
2
7
2
-8
-8
2
2
2
3
3
2
2
-8
-8
4
2
2
4
3
5
2
2
-8
2
-8
-8
-8
-8
2
-8
-8
-8
4
4
-8
1
4
3
-0.07
-0.32
-0.19
1.84
0.46
-1.42
0.68
-0.36
1.40
-0.84
2.51
-0.39
-8.00
0.28
0.30
-1.00
-0.14
0.44
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-0.54
0.09
-8.00
0.76
1.30
0.00
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1.09
-0.29
0.49
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-0.74
-0.40
-0.37
-8.00
0.05
0.09
0.63
-0.43
-0.22
-8.00
-8.00
0.48
-0.30
1.30
-1.43
1.16
-0.27
-1.73
1.16
0.00
0.60
0.60
-0.57
0.00
0.03
-0.57
-1.73
0.03
1.16
-8.00
1.76
-0.57
0.00
-0.60
1.16
0.60
-0.57
-0.57
-8.00
-0.57
1.76
-0.57
-0.57
0.60
1.76
1.16
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-0.57
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0.60
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0.03
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1.76
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0.03
1.16
0.60
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1.31
-9.00
0.27
1.31
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1.31
-0.13
1.31
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0.90
1.31
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1.31
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0.27
0.27
0.11
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1.31
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0.90
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0.34
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1.31
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0.90
1.31
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1.31
-0.70
0.50
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1.62
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0.10
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-0.17
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0.95
0.10
1.62
1.62
-8.00
-0.30
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0.10
1.62
-0.56
0.49
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-8.00
0.55
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0.10
0.10
1.62
0.95
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0.10
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-7.00
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0.66
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1.34
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-8.00
1.62
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0.91
-0.33
2.15
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0.27
0.27
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0.91
-0.33
0.94
-0.33
-8.00
2.15
0.27
-0.97
0.27
-0.33
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0.27
-0.33
-8.00
-1.57
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1.52
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0.27
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0.91
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2.15
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0.27
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0.91
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0.91
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1.52
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0.91
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1.27
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-7.00
0.28
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0.66
0.71
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1.69
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0.71
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-8.00
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-0.76
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0.10
0.10
1.27
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0.10
1.27
1.27
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1.27
0.10
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1.69
-8.00
-8.00
-7.00
-7.00
-0.47
1.69
0.10
-0.47
17308
17309
17310
17311
17312
17313
17314
17315
17316
17318
17319
17320
17321
17322
17323
17324
17325
17326
17327
17328
17329
17330
17331
17332
17333
17336
17337
17338
17339
17340
17341
17342
17343
17344
17345
17346
17347
17348
17349
17350
17351
17352
17354
17356
17357
17358
17359
1
2
1
2
2
2
2
2
2
2
1
1
2
1
2
1
2
1
1
2
2
2
1
1
2
1
2
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
2
2
2
2
1
-8
7
-8
-8
3
2
-8
2
1
3
2
5
4
3
4
2
3
-8
3
1
4
-8
5
4
2
-8
-8
-8
2
4
-8
-8
2
2
2
4
-8
-8
3
4
3
1
3
-8
2
-8
2
-8.00
1.75
0.05
-8.00
0.21
-0.83
-0.10
0.07
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-0.54
0.36
1.44
-0.57
0.44
0.85
-0.07
1.05
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0.07
-0.72
1.06
-8.00
1.17
0.06
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0.55
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-0.48
-0.59
0.14
-0.42
0.53
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1.11
-8.00
0.40
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1.00
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0.60
0.03
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0.03
0.60
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-1.13
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0.00
0.60
0.60
0.00
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0.60
0.60
-0.57
1.16
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-0.57
-8.00
0.63
1.16
0.00
0.60
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1.76
0.60
1.16
0.00
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0.60
-8.00
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0.60
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1.16
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0.00
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0.60
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0.27
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-8.00
0.11
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0.27
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1.31
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1.31
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1.31
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0.90
-8.00
-1.74
0.50
0.34
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1.31
0.10
0.90
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0.04
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1.34
0.51
0.10
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1.62
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0.10
0.10
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0.10
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-8.00
-0.34
1.62
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0.51
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1.62
0.10
0.77
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1.62
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0.38
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0.94
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0.10
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1.62
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2.15
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-8.00
0.31
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0.91
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0.31
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-8.00
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0.27
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0.27
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0.27
1.52
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0.27
-8.00
0.31
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0.91
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-0.33
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-8.00
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-8.00
1.69
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-8.00
0.10
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0.23
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1.27
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0.10
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0.28
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0.28
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-0.33
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1.13
-8.00
-1.32
-0.89
0.10
0.10
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0.84
1.27
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0.66
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0.52
0.10
-0.47
0.84
-7.00
-8.00
0.84
17360
17361
17362
17363
17364
17365
17366
17367
17369
17371
17372
17373
17374
17375
17376
17378
17379
17380
17382
17383
17385
17386
17387
17388
17389
17390
17392
17393
17394
17395
17396
17397
17398
17399
17400
17401
17402
17403
17404
17405
17406
17407
17409
17410
17411
17412
17413
2
2
2
1
1
1
2
1
1
2
1
2
2
1
2
1
2
1
1
1
1
2
2
1
2
1
1
1
2
1
2
2
1
2
1
1
1
1
2
1
1
1
2
1
2
2
1
-8
2
-8
3
2
4
-8
2
5
-8
4
4
2
-8
3
4
5
-8
4
4
2
-8
2
3
4
1
-8
2
4
-8
-8
2
3
3
-8
2
2
2
4
-8
-8
2
2
2
3
-8
-8
1.09
-0.79
0.40
-0.22
-0.40
0.56
-8.00
-0.41
1.16
-8.00
0.44
0.98
0.03
0.04
-0.48
0.93
1.47
-8.00
0.74
1.47
-0.88
0.33
-1.52
0.45
0.45
-1.57
-0.40
-1.43
1.09
-8.00
-0.25
-0.52
-0.27
0.71
-0.24
-0.25
-0.33
-0.46
0.55
-0.40
-8.00
-0.78
-0.95
-0.13
0.69
-8.00
-0.76
0.60
-1.73
0.03
-0.57
-0.57
0.60
-8.00
-0.57
0.60
-8.00
0.00
0.60
-1.13
0.03
-1.73
0.00
0.00
-8.00
1.19
1.76
-0.57
1.76
-0.57
0.60
1.76
-0.57
-1.73
-0.57
0.60
-8.00
0.60
0.60
1.16
-0.57
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-0.57
0.60
0.00
1.16
0.60
-8.00
0.60
-1.13
-0.03
0.60
-8.00
0.03
0.67
0.34
0.67
-0.30
-1.27
-0.13
-8.00
0.10
0.27
-8.00
0.90
0.27
0.27
-0.30
-7.00
-0.70
-1.40
-8.00
-0.70
-0.13
-0.30
0.90
1.31
-0.30
0.90
-0.30
-3.51
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-0.30
-8.00
-0.30
0.90
0.90
-0.70
-7.00
0.67
-7.00
0.34
0.27
0.67
-8.00
1.31
-7.00
1.31
-0.70
-8.00
-0.30
0.10
-0.30
-0.58
-0.17
0.10
0.10
-8.00
1.62
0.10
-8.00
0.27
0.55
0.10
0.10
-7.00
0.10
0.10
-8.00
-0.75
1.62
-0.56
1.62
0.10
0.10
1.34
0.10
-1.02
-0.58
1.62
-8.00
-0.17
0.10
0.51
-0.97
-7.00
-0.17
-7.00
0.10
0.10
1.62
-8.00
1.34
-7.00
1.62
-0.61
-8.00
0.10
1.52
1.55
1.55
-1.57
-0.33
1.52
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1.52
0.31
-8.00
0.27
2.15
-0.33
-0.33
-1.57
-0.33
0.31
-8.00
0.91
2.15
0.31
-0.33
-9.00
1.52
0.91
-0.33
-1.57
-0.33
-0.94
-8.00
-0.33
2.15
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0.91
0.27
1.52
-0.33
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0.31
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-8.00
-0.33
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-0.33
-1.57
-8.00
-1.57
1.69
0.66
-0.33
-0.33
-7.00
1.27
-8.00
0.41
0.28
-8.00
0.71
1.27
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-0.33
0.10
-8.00
0.66
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1.69
0.10
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-0.33
-8.00
-0.33
0.71
-7.00
1.27
0.52
1.69
0.10
-0.89
1.27
0.71
-8.00
1.69
-7.00
-0.33
-0.33
-8.00
-0.89
17414
17415
17416
17417
17418
17420
17421
17422
17423
17425
17426
17428
17429
17430
17431
17432
17433
17434
17435
17436
17437
17438
17439
17441
17442
17443
17444
17445
17446
17447
17448
17449
17450
17451
17452
17453
17454
17455
17456
17457
17458
17459
17460
17461
17463
17464
17466
1
1
2
2
1
2
2
2
2
2
1
2
2
1
2
2
1
2
1
2
1
2
2
2
1
1
1
1
2
1
1
2
1
1
2
1
2
2
2
1
1
2
1
2
1
1
2
2
2
-8
2
-8
-8
-8
1
-8
5
2
-8
-8
-8
2
4
3
-8
3
2
-8
-8
5
5
5
-8
2
5
4
2
-8
4
3
-8
2
2
2
-8
3
5
2
4
2
-8
2
4
2
-0.29
-0.62
0.60
-0.54
0.96
-0.30
-0.06
-0.77
-0.65
-8.00
-0.33
-0.18
-0.19
-8.00
0.35
0.60
0.58
-8.00
0.27
-1.34
-0.07
0.74
0.77
1.61
1.16
-8.00
-0.84
0.69
1.03
-0.31
0.26
1.36
-0.14
-8.00
-1.37
-0.44
0.02
1.13
-0.46
0.94
-0.42
0.86
-0.78
-0.33
-0.74
0.53
-0.78
-0.57
0.60
-0.57
-0.57
0.60
0.60
-1.16
-1.13
1.76
-8.00
1.16
0.60
1.19
-8.00
0.60
-0.57
-1.16
-8.00
-1.73
-0.57
-0.53
0.60
-1.73
0.60
1.16
-8.00
-1.73
1.76
0.60
0.00
1.76
-1.73
1.19
-8.00
-9.00
-1.13
-1.73
0.60
1.19
1.76
1.76
0.60
-0.57
-0.57
-1.16
0.60
-0.53
0.34
-0.70
-7.00
-7.00
-0.30
0.90
0.90
0.27
-0.30
-8.00
-0.70
-7.00
-0.30
-8.00
0.27
0.67
-0.87
-8.00
-1.56
-0.93
0.34
-0.30
-2.53
0.27
-0.30
-8.00
-2.30
0.90
-0.70
-0.30
1.31
-0.70
-2.30
-8.00
-9.00
-0.30
0.27
-0.30
1.31
-7.00
0.50
-0.70
-0.70
-0.93
-0.30
1.31
-0.30
-1.00
-0.61
-7.00
-7.00
0.10
0.22
0.55
-1.41
0.10
-8.00
0.10
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-0.29
-8.00
0.10
-0.17
1.34
-8.00
-2.92
-0.17
-0.75
0.10
-2.92
-0.58
1.62
-8.00
0.10
1.62
0.10
-1.41
1.62
0.10
1.62
-8.00
-9.00
-0.34
-2.48
-0.56
-1.68
-7.00
1.62
1.34
-1.24
-1.41
0.77
0.10
-1.27
-1.57
-1.57
0.27
-0.33
0.27
-1.57
0.91
-0.33
0.91
-8.00
0.91
-0.33
-0.33
-8.00
2.15
-0.97
-1.57
-8.00
-0.33
-0.33
0.31
0.91
0.27
0.91
1.52
-8.00
-0.97
0.27
-0.33
0.91
2.15
0.91
0.91
-8.00
-9.00
0.27
-0.33
0.91
-0.94
0.91
-0.94
-0.33
-1.57
0.91
-1.57
1.52
-0.94
0.10
-3.10
-7.00
-7.00
0.52
0.66
1.27
0.10
1.69
-8.00
-7.00
-7.00
0.52
-8.00
-0.33
0.10
1.08
-8.00
0.10
0.15
-7.00
-0.33
-1.45
0.10
0.10
-8.00
-0.89
0.15
-7.00
-0.33
1.69
0.71
1.69
-8.00
-9.00
0.10
-0.33
0.10
-7.00
-7.00
-1.50
-0.33
-0.89
0.15
0.10
1.69
-0.33
17468
17469
17470
17471
17472
17473
17474
17475
17476
17477
17478
17479
17481
17483
17484
17485
17486
17487
17488
17489
17490
17492
17493
17494
17495
17496
17497
17498
17499
17500
17501
17502
17505
17506
17507
17508
17509
17510
17511
17512
17513
17514
17516
17517
17518
17519
17520
2
2
2
2
1
2
1
2
1
1
2
2
2
2
1
1
2
1
1
1
2
1
1
1
2
2
2
2
1
1
1
1
2
1
2
2
1
1
2
1
1
2
1
1
1
1
1
1
5
3
2
1
5
-8
-8
2
2
-8
2
2
-8
1
-8
5
3
7
2
2
3
-8
4
3
4
-8
-8
-8
4
-8
3
2
-8
3
3
4
2
2
4
1
-8
1
2
4
4
2
-0.58
0.66
0.04
-0.50
-1.01
1.84
-8.00
0.60
0.03
-0.56
-0.61
-1.21
-0.35
-8.00
-1.35
-0.01
1.71
-0.98
-8.00
-8.00
-0.53
-8.00
-0.25
0.18
-0.54
0.06
-8.00
0.27
1.40
1.11
-0.42
-0.48
-0.15
-0.20
-0.41
1.44
0.49
-0.40
-0.84
0.68
-1.07
-8.00
-1.13
-0.73
0.72
0.81
-0.70
1.76
-1.16
-1.73
-0.57
0.60
0.60
-8.00
-1.73
0.60
-0.57
0.00
0.00
-0.57
-8.00
1.19
-9.00
0.60
0.00
-8.00
-8.00
0.60
-8.00
0.60
-1.16
-0.57
-1.16
-8.00
1.19
0.60
1.76
0.00
0.60
0.60
0.00
0.03
-1.73
0.00
1.16
0.56
-1.73
1.16
-8.00
-1.73
1.76
1.19
0.60
-1.16
0.27
0.27
-0.70
-0.30
-0.30
-0.30
-8.00
-0.70
0.90
-0.30
-0.30
-0.30
-0.70
-8.00
0.27
1.31
1.31
1.31
-8.00
-8.00
-0.30
-8.00
-0.30
-0.30
1.31
-0.36
-8.00
-7.00
-0.30
0.90
-3.51
-0.70
...
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Explanation & Answer
here it is ! I tried to stay as simple and concise as possible, given that I don't know the level of the course you are attending. Pls let me know what you think
The goal of this brief analysis is to study the effects of various student and teacher variables
on students’ mathematics self-efficacy. Defined as the personal perceived capability for
learning or performing actions, self-efficacy has been shown to be an effective predictor of
student’s performance and resilience in various academic areas (Pajares, 1997), and it is
therefore of pivotal importance to study the relation to student achievement in math.
In this context, in order to examine this concept, we will take advantage of the variable
“Scale of Student Mathematics Self-Efficacy” and use it as our dependent variable.
This information is captured from the variable named X1MTHEFF in the High School
Longitudinal Study.
In order to understand which variables best influen...
Review
Review
Anonymous
Really great stuff, couldn't ask for more.
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