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音乐

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本片由斯坦福

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学术发展中心提供

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早上好，欢迎回来。今天我们要讲第三课。

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这节课

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我会涉及这些内容，

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当中有些

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我今天涉及的内容，可能感觉有点跳，

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我的意思是话题和话题之间有点跳跃。但是，这都是依照这节课的教学大纲走的，并且保证了逻辑的连续性。

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上节课，我们谈到，

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线性回归，今天我要谈谈

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一种叫做局部权重回归的适应算法。这是一种非常强大的

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算法，也可能是我前一任导师最喜爱的

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机器学习算法。随后我们会

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讨论一种线性回归的概率解释，

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并且用其展开我们的第一个

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逻辑回归的分类算法；课程中

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会有一段小插曲来略微谈谈感知算法，

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详细的内容会在之后的课程中展开；

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如果

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时间允许，我希望可以讲讲牛顿法，一种用于

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Logistic插值回归法的算法。

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好了，先让我们回忆下上节课的内容，

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回一下我定义的符号，

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我用

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X^i，

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Y^i来表达第i个训练样本。

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当

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我们谈及线性回归

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或者一般最小二乘时，

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我们用这个去表示

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我假定的H，

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在输入值为X^i

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时的预测值。

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我假定的公式，

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系数由向量

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系数𝛳表示，

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这就等于对j求和的theta_j*x_j 


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写作theta转置乘以X

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我们按习惯约定X_0等于1

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对应我们线性回归模型里的

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截距项

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这里的小写n

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是我用的一个记号

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来表示训练集合中特征的数量

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所以在我们预测房屋售价的例子中，

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00:20:53,020 --> 00:20:54,730


372
00:20:54,730 --> 00:20:56,800


373
00:20:56,800 --> 00:20:58,549


374
00:20:58,549 --> 00:21:01,450


375
00:21:01,450 --> 00:21:04,820


376
00:21:04,820 --> 00:21:07,400


377
00:21:07,400 --> 00:21:10,630


378
00:21:10,630 --> 00:21:11,960


379
00:21:11,960 --> 00:21:15,080


380
00:21:15,080 --> 00:21:17,760


381
00:21:17,760 --> 00:21:21,110


382
00:21:21,110 --> 00:21:24,640


383
00:21:24,640 --> 00:21:27,140


384
00:21:27,140 --> 00:21:32,510


385
00:21:32,510 --> 00:21:33,760


386
00:21:33,760 --> 00:21:40,760


387
00:21:40,980 --> 00:21:47,530


388
00:21:47,530 --> 00:21:49,350


389
00:21:49,350 --> 00:21:53,810


390
00:21:53,810 --> 00:21:55,770


391
00:21:55,770 --> 00:21:57,750


392
00:21:57,750 --> 00:22:00,000


393
00:22:00,000 --> 00:22:04,520


394
00:22:04,520 --> 00:22:08,080


395
00:22:08,080 --> 00:22:09,570


396
00:22:09,570 --> 00:22:16,570


397
00:22:17,490 --> 00:22:21,309


398
00:22:21,309 --> 00:22:25,309


399
00:22:25,309 --> 00:22:27,540


400
00:22:27,540 --> 00:22:30,549


401
00:22:30,549 --> 00:22:32,910


402
00:22:32,910 --> 00:22:39,910


403
00:22:41,580 --> 00:22:44,410


404
00:22:44,410 --> 00:22:45,640


405
00:22:45,640 --> 00:22:46,850


406
00:22:46,850 --> 00:22:50,100


407
00:22:50,100 --> 00:22:51,169


408
00:22:51,169 --> 00:22:52,740


409
00:22:52,740 --> 00:22:55,159


410
00:22:55,159 --> 00:22:56,430


411
00:22:56,430 --> 00:22:58,540


412
00:22:58,540 --> 00:23:00,420


413
00:23:00,420 --> 00:23:04,060


414
00:23:04,060 --> 00:23:06,509


415
00:23:06,509 --> 00:23:08,910


416
00:23:08,910 --> 00:23:09,910


417
00:23:09,910 --> 00:23:13,640


418
00:23:13,640 --> 00:23:15,730


419
00:23:15,730 --> 00:23:17,810


420
00:23:17,810 --> 00:23:22,430


421
00:23:22,430 --> 00:23:25,510


422
00:23:25,510 --> 00:23:27,010


423
00:23:27,010 --> 00:23:29,990


424
00:23:29,990 --> 00:23:31,690


425
00:23:31,690 --> 00:23:37,559


426
00:23:37,559 --> 00:23:42,110


427
00:23:42,110 --> 00:23:43,850


428
00:23:43,850 --> 00:23:48,730


429
00:23:48,730 --> 00:23:49,950


430
00:23:49,950 --> 00:23:51,200


431
00:23:51,200 --> 00:23:55,320


432
00:23:55,320 --> 00:23:57,960


433
00:23:57,960 --> 00:23:59,080


434
00:23:59,080 --> 00:24:01,760


435
00:24:01,760 --> 00:24:04,260


436
00:24:04,260 --> 00:24:07,420


437
00:24:07,420 --> 00:24:10,470


438
00:24:10,470 --> 00:24:15,130


439
00:24:15,130 --> 00:24:16,920


440
00:24:16,920 --> 00:24:19,920


441
00:24:19,920 --> 00:24:20,859


442
00:24:20,859 --> 00:24:24,720


443
00:24:24,720 --> 00:24:29,070


444
00:24:29,070 --> 00:24:31,360


445
00:24:31,360 --> 00:24:37,430


446
00:24:37,430 --> 00:24:42,500


447
00:24:42,500 --> 00:24:44,700


448
00:24:44,700 --> 00:24:45,460


449
00:24:45,460 --> 00:24:49,720


450
00:24:49,720 --> 00:24:51,150


451
00:24:51,150 --> 00:24:52,280


452
00:24:52,280 --> 00:24:54,440


453
00:24:54,440 --> 00:24:58,130


454
00:24:58,130 --> 00:25:00,370


455
00:25:00,370 --> 00:25:01,660


456
00:25:01,660 --> 00:25:03,750


457
00:25:03,750 --> 00:25:07,080


458
00:25:07,080 --> 00:25:08,980


459
00:25:08,980 --> 00:25:13,340


460
00:25:13,340 --> 00:25:14,560


461
00:25:14,560 --> 00:25:18,610


462
00:25:18,610 --> 00:25:23,030


463
00:25:23,030 --> 00:25:24,090


464
00:25:24,090 --> 00:25:27,770


465
00:25:27,770 --> 00:25:32,690


466
00:25:32,690 --> 00:25:34,259


467
00:25:34,259 --> 00:25:37,450


468
00:25:37,450 --> 00:25:40,190


469
00:25:40,190 --> 00:25:45,790


470
00:25:45,790 --> 00:25:52,790


471
00:25:56,480 --> 00:25:58,030


472
00:25:58,030 --> 00:25:59,640


473
00:25:59,640 --> 00:26:01,679


474
00:26:01,679 --> 00:26:06,130


475
00:26:06,130 --> 00:26:09,370


476
00:26:09,370 --> 00:26:15,220


477
00:26:15,220 --> 00:26:15,820


478
00:26:15,820 --> 00:26:17,390


479
00:26:17,390 --> 00:26:21,530


480
00:26:21,530 --> 00:26:23,119


481
00:26:23,119 --> 00:26:27,149


482
00:26:27,149 --> 00:26:29,560


483
00:26:29,560 --> 00:26:31,700


484
00:26:31,700 --> 00:26:36,220


485
00:26:36,220 --> 00:26:41,830


486
00:26:41,830 --> 00:26:43,990


487
00:26:43,990 --> 00:26:50,990


488
00:26:51,370 --> 00:26:53,870


489
00:26:53,870 --> 00:26:57,530


490
00:26:57,530 --> 00:26:59,549


491
00:26:59,549 --> 00:27:02,120


492
00:27:02,120 --> 00:27:04,830


493
00:27:04,830 --> 00:27:07,200


494
00:27:07,200 --> 00:27:11,380


495
00:27:11,380 --> 00:27:13,120


496
00:27:13,120 --> 00:27:17,640


497
00:27:17,640 --> 00:27:19,840


498
00:27:19,840 --> 00:27:20,929


499
00:27:20,929 --> 00:27:22,660


500
00:27:22,660 --> 00:27:25,640


501
00:27:25,640 --> 00:27:28,860


502
00:27:28,860 --> 00:27:32,170


503
00:27:32,170 --> 00:27:34,539


504
00:27:34,539 --> 00:27:36,089


505
00:27:36,089 --> 00:27:37,780


506
00:27:37,780 --> 00:27:39,580


507
00:27:39,580 --> 00:27:42,190


508
00:27:42,190 --> 00:27:44,760


509
00:27:44,760 --> 00:27:51,760


510
00:28:00,789 --> 00:28:05,670


511
00:28:05,670 --> 00:28:07,080


512
00:28:07,080 --> 00:28:10,830


513
00:28:10,830 --> 00:28:11,440


514
00:28:11,440 --> 00:28:15,650


515
00:28:15,650 --> 00:28:19,179


516
00:28:19,179 --> 00:28:22,250


517
00:28:22,250 --> 00:28:29,250


518
00:28:39,680 --> 00:28:43,320


519
00:28:43,320 --> 00:28:46,650


520
00:28:46,650 --> 00:28:50,580


521
00:28:50,580 --> 00:28:52,400


522
00:28:52,400 --> 00:28:56,250


523
00:28:56,250 --> 00:28:59,490


524
00:28:59,490 --> 00:29:02,320


525
00:29:02,320 --> 00:29:08,140


526
00:29:08,140 --> 00:29:10,260


527
00:29:10,260 --> 00:29:12,270


528
00:29:12,270 --> 00:29:14,520


529
00:29:14,520 --> 00:29:18,950


530
00:29:18,950 --> 00:29:21,620


531
00:29:21,620 --> 00:29:25,820


532
00:29:25,820 --> 00:29:26,929


533
00:29:26,929 --> 00:29:30,260


534
00:29:30,260 --> 00:29:32,340


535
00:29:32,340 --> 00:29:35,270


536
00:29:35,270 --> 00:29:39,160


537
00:29:39,160 --> 00:29:40,030


538
00:29:40,030 --> 00:29:41,490


539
00:29:41,490 --> 00:29:48,289


540
00:29:48,289 --> 00:29:51,140


541
00:29:51,140 --> 00:29:57,520


542
00:29:57,520 --> 00:30:01,809


543
00:30:01,809 --> 00:30:02,950


544
00:30:02,950 --> 00:30:07,510


545
00:30:07,510 --> 00:30:12,400


546
00:30:12,400 --> 00:30:13,720


547
00:30:13,720 --> 00:30:17,049


548
00:30:17,049 --> 00:30:19,620


549
00:30:19,620 --> 00:30:22,010


550
00:30:22,010 --> 00:30:23,160


551
00:30:23,160 --> 00:30:27,860


552
00:30:27,860 --> 00:30:31,490


553
00:30:31,490 --> 00:30:33,390


554
00:30:33,390 --> 00:30:34,130


555
00:30:34,130 --> 00:30:37,100


556
00:30:37,100 --> 00:30:39,520


557
00:30:39,520 --> 00:30:42,360


558
00:30:42,360 --> 00:30:46,230


559
00:30:46,230 --> 00:30:47,660


560
00:30:47,660 --> 00:30:50,360


561
00:30:50,360 --> 00:30:52,709


562
00:30:52,709 --> 00:30:56,539


563
00:30:56,539 --> 00:31:00,440


564
00:31:00,440 --> 00:31:02,670


565
00:31:02,670 --> 00:31:07,880


566
00:31:07,880 --> 00:31:09,010


567
00:31:09,010 --> 00:31:13,100


568
00:31:13,100 --> 00:31:14,520


569
00:31:14,520 --> 00:31:16,500


570
00:31:16,500 --> 00:31:18,660


571
00:31:18,660 --> 00:31:23,440


572
00:31:23,440 --> 00:31:26,510


573
00:31:26,510 --> 00:31:28,170


574
00:31:28,170 --> 00:31:30,630


575
00:31:30,630 --> 00:31:34,630


576
00:31:34,630 --> 00:31:36,169


577
00:31:36,169 --> 00:31:37,320


578
00:31:37,320 --> 00:31:41,190


579
00:31:41,190 --> 00:31:46,730


580
00:31:46,730 --> 00:31:48,640


581
00:31:48,640 --> 00:31:51,280


582
00:31:51,280 --> 00:31:55,309


583
00:31:55,309 --> 00:31:57,730


584
00:31:57,730 --> 00:31:59,650


585
00:31:59,650 --> 00:32:01,790


586
00:32:01,790 --> 00:32:03,570


587
00:32:03,570 --> 00:32:05,760


588
00:32:05,760 --> 00:32:09,420


589
00:32:09,420 --> 00:32:15,170


590
00:32:15,170 --> 00:32:22,170


591
00:32:22,929 --> 00:32:25,870


592
00:32:25,870 --> 00:32:31,039


593
00:32:31,039 --> 00:32:31,780


594
00:32:31,780 --> 00:32:34,200


595
00:32:34,200 --> 00:32:41,200


596
00:32:41,260 --> 00:32:47,040


597
00:32:47,040 --> 00:32:54,040


598
00:32:59,159 --> 00:33:04,770


599
00:33:04,770 --> 00:33:10,120


600
00:33:10,120 --> 00:33:11,530


601
00:33:11,530 --> 00:33:13,620


602
00:33:13,620 --> 00:33:20,620


603
00:33:29,530 --> 00:33:34,820


604
00:33:34,820 --> 00:33:37,930


605
00:33:37,930 --> 00:33:41,440


606
00:33:41,440 --> 00:33:46,550


607
00:33:46,550 --> 00:33:50,530


608
00:33:50,530 --> 00:33:53,820


609
00:33:53,820 --> 00:33:56,700


610
00:33:56,700 --> 00:33:58,039


611
00:33:58,039 --> 00:34:01,120


612
00:34:01,120 --> 00:34:04,990


613
00:34:04,990 --> 00:34:08,990


614
00:34:08,990 --> 00:34:11,649


615
00:34:11,649 --> 00:34:13,589


616
00:34:13,589 --> 00:34:16,239


617
00:34:16,239 --> 00:34:20,069


618
00:34:20,069 --> 00:34:24,379


619
00:34:24,379 --> 00:34:31,379


620
00:34:38,369 --> 00:34:43,939


621
00:34:43,939 --> 00:34:47,489


622
00:34:47,489 --> 00:34:50,299


623
00:34:50,299 --> 00:34:54,039


624
00:34:54,039 --> 00:34:56,429


625
00:34:56,429 --> 00:35:00,909


626
00:35:00,909 --> 00:35:03,109


627
00:35:03,109 --> 00:35:06,529


628
00:35:06,529 --> 00:35:08,609


629
00:35:08,609 --> 00:35:11,989


630
00:35:11,989 --> 00:35:15,679


631
00:35:15,679 --> 00:35:19,509


632
00:35:19,509 --> 00:35:21,779


633
00:35:21,779 --> 00:35:23,519


634
00:35:23,519 --> 00:35:26,079


635
00:35:26,079 --> 00:35:29,000


636
00:35:29,000 --> 00:35:33,219


637
00:35:33,219 --> 00:35:37,450


638
00:35:37,450 --> 00:35:39,060


639
00:35:39,060 --> 00:35:42,680


640
00:35:42,680 --> 00:35:45,630


641
00:35:45,630 --> 00:35:49,259


642
00:35:49,259 --> 00:35:52,259


643
00:35:52,259 --> 00:35:53,760


644
00:35:53,760 --> 00:35:57,810


645
00:35:57,810 --> 00:36:04,810


646
00:36:06,509 --> 00:36:07,539


647
00:36:07,539 --> 00:36:10,539


648
00:36:10,539 --> 00:36:12,849


649
00:36:12,849 --> 00:36:16,269


650
00:36:16,269 --> 00:36:18,059


651
00:36:18,059 --> 00:36:19,960


652
00:36:19,960 --> 00:36:23,640


653
00:36:23,640 --> 00:36:28,359


654
00:36:28,359 --> 00:36:30,919


655
00:36:30,919 --> 00:36:35,059


656
00:36:35,059 --> 00:36:37,879


657
00:36:37,879 --> 00:36:40,390


658
00:36:40,390 --> 00:36:44,979


659
00:36:44,979 --> 00:36:48,519


660
00:36:48,519 --> 00:36:54,359


661
00:36:54,359 --> 00:36:55,199


662
00:36:55,199 --> 00:36:58,719


663
00:36:58,719 --> 00:37:02,239


664
00:37:02,239 --> 00:37:05,970


665
00:37:05,970 --> 00:37:10,339


666
00:37:10,339 --> 00:37:14,689


667
00:37:14,689 --> 00:37:19,459


668
00:37:19,459 --> 00:37:23,529


669
00:37:23,529 --> 00:37:27,279


670
00:37:27,279 --> 00:37:29,059


671
00:37:29,059 --> 00:37:30,839


672
00:37:30,839 --> 00:37:37,839


673
00:37:40,319 --> 00:37:44,819


674
00:37:44,819 --> 00:37:48,399


675
00:37:48,399 --> 00:37:49,719


676
00:37:49,719 --> 00:37:54,999


677
00:37:54,999 --> 00:37:56,799


678
00:37:56,799 --> 00:38:00,709


679
00:38:00,709 --> 00:38:02,380


680
00:38:02,380 --> 00:38:06,450


681
00:38:06,450 --> 00:38:07,519


682
00:38:07,519 --> 00:38:11,299


683
00:38:11,299 --> 00:38:13,440


684
00:38:13,440 --> 00:38:16,270


685
00:38:16,270 --> 00:38:19,140


686
00:38:19,140 --> 00:38:22,459


687
00:38:22,459 --> 00:38:25,620


688
00:38:25,620 --> 00:38:27,299


689
00:38:27,299 --> 00:38:31,359


690
00:38:31,359 --> 00:38:34,899


691
00:38:34,899 --> 00:38:40,200


692
00:38:40,200 --> 00:38:43,010


693
00:38:43,010 --> 00:38:46,490


694
00:38:46,490 --> 00:38:49,220


695
00:38:49,220 --> 00:38:50,470


696
00:38:50,470 --> 00:38:52,829


697
00:38:52,829 --> 00:38:57,559


698
00:38:57,559 --> 00:39:00,410


699
00:39:00,410 --> 00:39:03,719


700
00:39:03,719 --> 00:39:08,269


701
00:39:08,269 --> 00:39:09,499


702
00:39:09,499 --> 00:39:16,499


703
00:39:36,319 --> 00:39:38,329


704
00:39:38,329 --> 00:39:41,279


705
00:39:41,279 --> 00:39:43,819


706
00:39:43,819 --> 00:39:48,269


707
00:39:48,269 --> 00:39:50,609


708
00:39:50,609 --> 00:39:54,279


709
00:39:54,279 --> 00:39:57,259


710
00:39:57,259 --> 00:40:04,259


711
00:40:04,469 --> 00:40:11,279


712
00:40:11,279 --> 00:40:14,749


713
00:40:14,749 --> 00:40:18,009


714
00:40:18,009 --> 00:40:22,099


715
00:40:22,099 --> 00:40:25,519


716
00:40:25,519 --> 00:40:28,899


717
00:40:28,899 --> 00:40:32,359


718
00:40:32,359 --> 00:40:36,239


719
00:40:36,239 --> 00:40:39,149


720
00:40:39,149 --> 00:40:42,749


721
00:40:42,749 --> 00:40:46,439


722
00:40:46,439 --> 00:40:49,009


723
00:40:49,009 --> 00:40:50,419


724
00:40:50,419 --> 00:40:57,419


725
00:40:59,939 --> 00:41:04,299


726
00:41:04,299 --> 00:41:10,539


727
00:41:10,539 --> 00:41:14,549


728
00:41:14,549 --> 00:41:20,359


729
00:41:20,359 --> 00:41:24,629


730
00:41:24,629 --> 00:41:26,180


731
00:41:26,180 --> 00:41:30,109


732
00:41:30,109 --> 00:41:32,789


733
00:41:32,789 --> 00:41:36,619


734
00:41:36,619 --> 00:41:40,519


735
00:41:40,519 --> 00:41:45,509


736
00:41:45,509 --> 00:41:47,779


737
00:41:47,779 --> 00:41:51,799


738
00:41:51,799 --> 00:41:55,380


739
00:41:55,380 --> 00:41:57,130


740
00:41:57,130 --> 00:42:00,609


741
00:42:00,609 --> 00:42:02,339


742
00:42:02,339 --> 00:42:05,660


743
00:42:05,660 --> 00:42:10,089


744
00:42:10,089 --> 00:42:13,299


745
00:42:13,299 --> 00:42:15,119


746
00:42:15,119 --> 00:42:18,469


747
00:42:18,469 --> 00:42:25,469


748
00:42:30,509 --> 00:42:31,519


749
00:42:31,519 --> 00:42:33,529


750
00:42:33,529 --> 00:42:36,859


751
00:42:36,859 --> 00:42:37,809


752
00:42:37,809 --> 00:42:40,460


753
00:42:40,460 --> 00:42:46,309


754
00:42:46,309 --> 00:42:53,309


755
00:42:58,749 --> 00:43:01,549


756
00:43:01,549 --> 00:43:02,709


757
00:43:02,709 --> 00:43:09,329


758
00:43:09,329 --> 00:43:13,299


759
00:43:13,299 --> 00:43:20,039


760
00:43:20,039 --> 00:43:27,039


761
00:43:27,199 --> 00:43:29,769


762
00:43:29,769 --> 00:43:33,119


763
00:43:33,119 --> 00:43:36,939


764
00:43:36,939 --> 00:43:39,539


765
00:43:39,539 --> 00:43:43,309


766
00:43:43,309 --> 00:43:46,819


767
00:43:46,819 --> 00:43:53,189


768
00:43:53,189 --> 00:43:57,959


769
00:43:57,959 --> 00:44:01,429


770
00:44:01,429 --> 00:44:06,309


771
00:44:06,309 --> 00:44:09,539


772
00:44:09,539 --> 00:44:14,299


773
00:44:14,299 --> 00:44:16,609


774
00:44:16,609 --> 00:44:23,609


775
00:44:24,509 --> 00:44:31,509


776
00:44:35,140 --> 00:44:38,400


777
00:44:38,400 --> 00:44:39,349


778
00:44:39,349 --> 00:44:43,509


779
00:44:43,509 --> 00:44:44,380


780
00:44:44,380 --> 00:44:47,469


781
00:44:47,469 --> 00:44:52,099


782
00:44:52,099 --> 00:44:53,089


783
00:44:53,089 --> 00:45:00,089


784
00:45:01,229 --> 00:45:08,229


785
00:45:12,079 --> 00:45:16,129


786
00:45:16,129 --> 00:45:21,359


787
00:45:21,359 --> 00:45:28,359


788
00:45:32,759 --> 00:45:39,759


789
00:45:46,239 --> 00:45:50,509


790
00:45:50,509 --> 00:45:53,349


791
00:45:53,349 --> 00:45:58,440


792
00:45:58,440 --> 00:46:02,940


793
00:46:02,940 --> 00:46:09,940


794
00:46:22,019 --> 00:46:26,039


795
00:46:26,039 --> 00:46:26,829


796
00:46:26,829 --> 00:46:33,229


797
00:46:33,229 --> 00:46:35,729


798
00:46:35,729 --> 00:46:42,729


799
00:46:43,089 --> 00:46:44,469


800
00:46:44,469 --> 00:46:48,339


801
00:46:48,339 --> 00:46:50,539


802
00:46:50,539 --> 00:46:55,019


803
00:46:55,019 --> 00:46:56,079


804
00:46:56,079 --> 00:46:58,219


805
00:46:58,219 --> 00:47:05,219


806
00:47:06,109 --> 00:47:09,659


807
00:47:09,659 --> 00:47:10,720


808
00:47:10,720 --> 00:47:12,480


809
00:47:12,480 --> 00:47:14,489


810
00:47:14,489 --> 00:47:17,060


811
00:47:17,060 --> 00:47:17,930


812
00:47:17,930 --> 00:47:21,390


813
00:47:21,390 --> 00:47:21,999


814
00:47:21,999 --> 00:47:26,229


815
00:47:26,229 --> 00:47:30,160


816
00:47:30,160 --> 00:47:33,619


817
00:47:33,619 --> 00:47:34,659


818
00:47:34,659 --> 00:47:39,289


819
00:47:39,289 --> 00:47:42,690


820
00:47:42,690 --> 00:47:45,790


821
00:47:45,790 --> 00:47:47,509


822
00:47:47,509 --> 00:47:51,429


823
00:47:51,429 --> 00:47:52,670


824
00:47:52,670 --> 00:47:59,670


825
00:48:43,929 --> 00:48:50,929


826
00:48:51,209 --> 00:48:52,079


827
00:48:52,079 --> 00:48:53,809


828
00:48:53,809 --> 00:48:55,369


829
00:48:55,369 --> 00:48:57,319


830
00:48:57,319 --> 00:49:01,179


831
00:49:01,179 --> 00:49:05,269


832
00:49:05,269 --> 00:49:09,069


833
00:49:09,069 --> 00:49:12,609


834
00:49:12,609 --> 00:49:14,549


835
00:49:14,549 --> 00:49:17,869


836
00:49:17,869 --> 00:49:19,459


837
00:49:19,459 --> 00:49:22,199


838
00:49:22,199 --> 00:49:29,199


839
00:49:33,219 --> 00:49:38,759


840
00:49:38,759 --> 00:49:43,209


841
00:49:43,209 --> 00:49:43,940


842
00:49:43,940 --> 00:49:46,190


843
00:49:46,190 --> 00:49:50,309


844
00:49:50,309 --> 00:49:53,619


845
00:49:53,619 --> 00:49:57,930


846
00:49:57,930 --> 00:50:01,339


847
00:50:01,339 --> 00:50:04,259


848
00:50:04,259 --> 00:50:07,859


849
00:50:07,859 --> 00:50:10,939


850
00:50:10,939 --> 00:50:14,379


851
00:50:14,379 --> 00:50:15,709


852
00:50:15,709 --> 00:50:18,769


853
00:50:18,769 --> 00:50:21,890


854
00:50:21,890 --> 00:50:25,900


855
00:50:25,900 --> 00:50:29,890


856
00:50:29,890 --> 00:50:34,239


857
00:50:34,239 --> 00:50:37,509


858
00:50:37,509 --> 00:50:40,989


859
00:50:40,989 --> 00:50:44,529


860
00:50:44,529 --> 00:50:50,930


861
00:50:50,930 --> 00:50:55,439


862
00:50:55,439 --> 00:50:59,159


863
00:50:59,159 --> 00:51:06,039


864
00:51:06,039 --> 00:51:08,149


865
00:51:08,149 --> 00:51:14,119


866
00:51:14,119 --> 00:51:15,269


867
00:51:15,269 --> 00:51:18,569


868
00:51:18,569 --> 00:51:21,630


869
00:51:21,630 --> 00:51:25,299


870
00:51:25,299 --> 00:51:26,399


871
00:51:26,399 --> 00:51:30,289


872
00:51:30,289 --> 00:51:31,829


873
00:51:31,829 --> 00:51:32,430


874
00:51:32,430 --> 00:51:36,770


875
00:51:36,770 --> 00:51:37,890


876
00:51:37,890 --> 00:51:41,420


877
00:51:41,420 --> 00:51:47,729


878
00:51:47,729 --> 00:51:51,529


879
00:51:51,529 --> 00:51:53,650


880
00:51:53,650 --> 00:51:55,669


881
00:51:55,669 --> 00:51:58,489


882
00:51:58,489 --> 00:52:02,059


883
00:52:02,059 --> 00:52:02,660


884
00:52:02,660 --> 00:52:04,269


885
00:52:04,269 --> 00:52:06,229


886
00:52:06,229 --> 00:52:11,829


887
00:52:11,829 --> 00:52:16,099


888
00:52:16,099 --> 00:52:17,719


889
00:52:17,719 --> 00:52:19,319


890
00:52:19,319 --> 00:52:21,820


891
00:52:21,820 --> 00:52:26,130


892
00:52:26,130 --> 00:52:31,849


893
00:52:31,849 --> 00:52:33,529


894
00:52:33,529 --> 00:52:39,509


895
00:52:39,509 --> 00:52:43,049


896
00:52:43,049 --> 00:52:45,670


897
00:52:45,670 --> 00:52:50,839


898
00:52:50,839 --> 00:52:52,039


899
00:52:52,039 --> 00:52:55,059


900
00:52:55,059 --> 00:52:56,429


901
00:52:56,429 --> 00:52:59,289


902
00:52:59,289 --> 00:53:01,670


903
00:53:01,670 --> 00:53:04,589


904
00:53:04,589 --> 00:53:07,159


905
00:53:07,159 --> 00:53:10,410


906
00:53:10,410 --> 00:53:13,430


907
00:53:13,430 --> 00:53:15,739


908
00:53:15,739 --> 00:53:22,739


909
00:53:26,579 --> 00:53:30,079


910
00:53:30,079 --> 00:53:31,279


911
00:53:31,279 --> 00:53:36,849


912
00:53:36,849 --> 00:53:38,609


913
00:53:38,609 --> 00:53:42,179


914
00:53:42,179 --> 00:53:47,609


915
00:53:47,609 --> 00:53:49,579


916
00:53:49,579 --> 00:53:51,999


917
00:53:51,999 --> 00:53:54,349


918
00:53:54,349 --> 00:53:57,819


919
00:53:57,819 --> 00:54:00,689


920
00:54:00,689 --> 00:54:01,879


921
00:54:01,879 --> 00:54:04,859


922
00:54:04,859 --> 00:54:05,880


923
00:54:05,880 --> 00:54:11,609


924
00:54:11,609 --> 00:54:13,769


925
00:54:13,769 --> 00:54:17,349


926
00:54:17,349 --> 00:54:20,630


927
00:54:20,630 --> 00:54:24,709


928
00:54:24,709 --> 00:54:27,079


929
00:54:27,079 --> 00:54:29,219


930
00:54:29,219 --> 00:54:33,869


931
00:54:33,869 --> 00:54:39,279


932
00:54:39,279 --> 00:54:41,829


933
00:54:41,829 --> 00:54:44,039


934
00:54:44,039 --> 00:54:47,469


935
00:54:47,469 --> 00:54:50,939


936
00:54:50,939 --> 00:54:52,369


937
00:54:52,369 --> 00:54:55,749


938
00:54:55,749 --> 00:54:59,799


939
00:54:59,799 --> 00:55:03,219


940
00:55:03,219 --> 00:55:08,129


941
00:55:08,129 --> 00:55:10,839


942
00:55:10,839 --> 00:55:12,930


943
00:55:12,930 --> 00:55:13,890


944
00:55:13,890 --> 00:55:17,279


945
00:55:17,279 --> 00:55:18,329


946
00:55:18,329 --> 00:55:20,819


947
00:55:20,819 --> 00:55:22,819


948
00:55:22,819 --> 00:55:25,049


949
00:55:25,049 --> 00:55:27,809


950
00:55:27,809 --> 00:55:32,959


951
00:55:32,959 --> 00:55:38,659


952
00:55:38,659 --> 00:55:41,229


953
00:55:41,229 --> 00:55:48,229


954
00:55:48,449 --> 00:55:50,529


955
00:55:50,529 --> 00:55:56,549


956
00:55:56,549 --> 00:55:58,879


957
00:55:58,879 --> 00:56:04,759


958
00:56:04,759 --> 00:56:05,849


959
00:56:05,849 --> 00:56:07,769


960
00:56:07,769 --> 00:56:09,909


961
00:56:09,909 --> 00:56:12,219


962
00:56:12,219 --> 00:56:15,209


963
00:56:15,209 --> 00:56:17,089


964
00:56:17,089 --> 00:56:19,519


965
00:56:19,519 --> 00:56:24,460


966
00:56:24,460 --> 00:56:27,479


967
00:56:27,479 --> 00:56:30,299


968
00:56:30,299 --> 00:56:35,429


969
00:56:35,429 --> 00:56:37,270


970
00:56:37,270 --> 00:56:38,839


971
00:56:38,839 --> 00:56:42,569


972
00:56:42,569 --> 00:56:43,619


973
00:56:43,619 --> 00:56:46,809


974
00:56:46,809 --> 00:56:49,910


975
00:56:49,910 --> 00:56:51,089


976
00:56:51,089 --> 00:56:52,340


977
00:56:52,340 --> 00:56:54,239


978
00:56:54,239 --> 00:56:55,089


979
00:56:55,089 --> 00:56:57,269


980
00:56:57,269 --> 00:56:58,999


981
00:56:58,999 --> 00:57:00,469


982
00:57:00,469 --> 00:57:02,089


983
00:57:02,089 --> 00:57:07,249


984
00:57:07,249 --> 00:57:08,529


985
00:57:08,529 --> 00:57:15,529


986
00:57:15,879 --> 00:57:17,289


987
00:57:17,289 --> 00:57:20,719


988
00:57:20,719 --> 00:57:25,549


989
00:57:25,549 --> 00:57:30,619


990
00:57:30,619 --> 00:57:33,899


991
00:57:33,899 --> 00:57:35,559


992
00:57:35,559 --> 00:57:38,439


993
00:57:38,439 --> 00:57:39,640


994
00:57:39,640 --> 00:57:42,789


995
00:57:42,789 --> 00:57:45,409


996
00:57:45,409 --> 00:57:47,890


997
00:57:47,890 --> 00:57:54,890


998
00:57:56,209 --> 00:57:59,710


999
00:57:59,710 --> 00:58:02,119


1000
00:58:02,119 --> 00:58:04,729


1001
00:58:04,729 --> 00:58:11,729


1002
00:58:11,859 --> 00:58:15,349


1003
00:58:15,349 --> 00:58:19,209


1004
00:58:19,209 --> 00:58:22,139


1005
00:58:22,139 --> 00:58:24,209


1006
00:58:24,209 --> 00:58:25,839


1007
00:58:25,839 --> 00:58:28,349


1008
00:58:28,349 --> 00:58:31,949


1009
00:58:31,949 --> 00:58:33,179


1010
00:58:33,179 --> 00:58:34,769


1011
00:58:34,769 --> 00:58:37,219


1012
00:58:37,219 --> 00:58:42,889


1013
00:58:42,889 --> 00:58:44,439


1014
00:58:44,439 --> 00:58:48,059


1015
00:58:48,059 --> 00:58:51,229


1016
00:58:51,229 --> 00:58:54,429


1017
00:58:54,429 --> 00:58:55,949


1018
00:58:55,949 --> 00:58:59,389


1019
00:58:59,389 --> 00:59:03,349


1020
00:59:03,349 --> 00:59:05,919


1021
00:59:05,919 --> 00:59:08,249


1022
00:59:08,249 --> 00:59:09,919


1023
00:59:09,919 --> 00:59:14,329


1024
00:59:14,329 --> 00:59:15,669


1025
00:59:15,669 --> 00:59:17,579


1026
00:59:17,579 --> 00:59:18,599


1027
00:59:18,599 --> 00:59:20,269


1028
00:59:20,269 --> 00:59:22,799


1029
00:59:22,799 --> 00:59:29,799


1030
00:59:31,149 --> 00:59:35,650


1031
00:59:35,650 --> 00:59:38,389


1032
00:59:38,389 --> 00:59:41,409


1033
00:59:41,409 --> 00:59:46,169


1034
00:59:46,169 --> 00:59:48,639


1035
00:59:48,639 --> 00:59:50,499


1036
00:59:50,499 --> 00:59:54,469


1037
00:59:54,469 --> 00:59:56,709


1038
00:59:56,709 --> 00:59:59,119


1039
00:59:59,119 --> 01:00:01,609


1040
01:00:01,609 --> 01:00:08,609


1041
01:00:09,399 --> 01:00:16,399


1042
01:00:17,479 --> 01:00:19,699


1043
01:00:19,699 --> 01:00:26,699


1044
01:00:29,380 --> 01:00:35,749


1045
01:00:35,749 --> 01:00:42,749


1046
01:00:51,299 --> 01:00:53,359


1047
01:00:53,359 --> 01:00:57,029


1048
01:00:57,029 --> 01:00:58,759


1049
01:00:58,759 --> 01:01:03,529


1050
01:01:03,529 --> 01:01:08,119


1051
01:01:08,119 --> 01:01:09,619


1052
01:01:09,619 --> 01:01:11,439


1053
01:01:11,439 --> 01:01:14,479


1054
01:01:14,479 --> 01:01:17,809


1055
01:01:17,809 --> 01:01:19,559


1056
01:01:19,559 --> 01:01:20,439


1057
01:01:20,439 --> 01:01:22,640


1058
01:01:22,640 --> 01:01:24,630


1059
01:01:24,630 --> 01:01:27,879


1060
01:01:27,879 --> 01:01:34,879


1061
01:01:58,089 --> 01:01:59,239


1062
01:01:59,239 --> 01:02:03,689


1063
01:02:03,689 --> 01:02:05,929


1064
01:02:05,929 --> 01:02:11,539


1065
01:02:11,539 --> 01:02:18,539


1066
01:02:21,519 --> 01:02:27,239


1067
01:02:27,239 --> 01:02:28,759


1068
01:02:28,759 --> 01:02:32,749


1069
01:02:32,749 --> 01:02:34,979


1070
01:02:34,979 --> 01:02:37,209


1071
01:02:37,209 --> 01:02:40,120


1072
01:02:40,120 --> 01:02:41,060


1073
01:02:41,060 --> 01:02:42,649


1074
01:02:42,649 --> 01:02:45,409


1075
01:02:45,409 --> 01:02:48,039


1076
01:02:48,039 --> 01:02:48,749


1077
01:02:48,749 --> 01:02:51,359


1078
01:02:51,359 --> 01:02:54,609


1079
01:02:54,609 --> 01:02:56,489


1080
01:02:56,489 --> 01:02:58,919


1081
01:02:58,919 --> 01:03:01,959


1082
01:03:01,959 --> 01:03:03,939


1083
01:03:03,939 --> 01:03:08,339


1084
01:03:08,339 --> 01:03:09,640


1085
01:03:09,640 --> 01:03:13,869


1086
01:03:13,869 --> 01:03:14,650


1087
01:03:14,650 --> 01:03:16,999


1088
01:03:16,999 --> 01:03:20,359


1089
01:03:20,359 --> 01:03:23,189


1090
01:03:23,189 --> 01:03:24,070


1091
01:03:24,070 --> 01:03:25,489


1092
01:03:25,489 --> 01:03:27,560


1093
01:03:27,560 --> 01:03:32,380


1094
01:03:32,380 --> 01:03:35,389


1095
01:03:35,389 --> 01:03:36,840


1096
01:03:36,840 --> 01:03:41,619


1097
01:03:41,619 --> 01:03:43,719


1098
01:03:43,719 --> 01:03:48,069


1099
01:03:48,069 --> 01:03:52,729


1100
01:03:52,729 --> 01:03:58,219


1101
01:03:58,219 --> 01:04:00,269


1102
01:04:00,269 --> 01:04:02,619


1103
01:04:02,619 --> 01:04:09,539


1104
01:04:09,539 --> 01:04:13,879


1105
01:04:13,879 --> 01:04:17,159


1106
01:04:17,159 --> 01:04:19,479


1107
01:04:19,479 --> 01:04:21,549


1108
01:04:21,549 --> 01:04:27,119


1109
01:04:27,119 --> 01:04:29,829


1110
01:04:29,829 --> 01:04:36,829


1111
01:04:45,939 --> 01:04:47,309


1112
01:04:47,309 --> 01:04:50,329


1113
01:04:50,329 --> 01:04:53,900


1114
01:04:53,900 --> 01:04:55,789


1115
01:04:55,789 --> 01:04:57,199


1116
01:04:57,199 --> 01:04:58,949


1117
01:04:58,949 --> 01:05:00,179


1118
01:05:00,179 --> 01:05:04,429


1119
01:05:04,429 --> 01:05:06,390


1120
01:05:06,390 --> 01:05:08,439


1121
01:05:08,439 --> 01:05:13,219


1122
01:05:13,219 --> 01:05:15,069


1123
01:05:15,069 --> 01:05:19,130


1124
01:05:19,130 --> 01:05:21,669


1125
01:05:21,669 --> 01:05:24,150


1126
01:05:24,150 --> 01:05:25,899


1127
01:05:25,899 --> 01:05:27,839


1128
01:05:27,839 --> 01:05:34,839


1129
01:05:46,999 --> 01:05:50,229


1130
01:05:50,229 --> 01:05:56,369


1131
01:05:56,369 --> 01:05:59,349


1132
01:05:59,349 --> 01:06:02,449


1133
01:06:02,449 --> 01:06:06,269


1134
01:06:06,269 --> 01:06:07,640


1135
01:06:07,640 --> 01:06:11,419


1136
01:06:11,419 --> 01:06:13,909


1137
01:06:13,909 --> 01:06:19,919


1138
01:06:19,919 --> 01:06:23,509


1139
01:06:23,509 --> 01:06:25,499


1140
01:06:25,499 --> 01:06:30,009


1141
01:06:30,009 --> 01:06:33,769


1142
01:06:33,769 --> 01:06:40,769


1143
01:06:44,180 --> 01:06:46,639


1144
01:06:46,639 --> 01:06:48,350


1145
01:06:48,350 --> 01:06:49,269


1146
01:06:49,269 --> 01:06:51,700


1147
01:06:51,700 --> 01:06:54,169


1148
01:06:54,169 --> 01:06:55,699


1149
01:06:55,699 --> 01:06:58,380


1150
01:06:58,380 --> 01:06:59,319


1151
01:06:59,319 --> 01:07:03,279


1152
01:07:03,279 --> 01:07:06,519


1153
01:07:06,519 --> 01:07:09,909


1154
01:07:09,909 --> 01:07:11,910


1155
01:07:11,910 --> 01:07:14,369


1156
01:07:14,369 --> 01:07:17,919


1157
01:07:17,919 --> 01:07:20,119


1158
01:07:20,119 --> 01:07:23,739


1159
01:07:23,739 --> 01:07:25,209


1160
01:07:25,209 --> 01:07:29,359


1161
01:07:29,359 --> 01:07:32,499


1162
01:07:32,499 --> 01:07:34,579


1163
01:07:34,579 --> 01:07:35,450


1164
01:07:35,450 --> 01:07:39,519


1165
01:07:39,519 --> 01:07:42,659


1166
01:07:42,659 --> 01:07:44,519


1167
01:07:44,519 --> 01:07:48,199


1168
01:07:48,199 --> 01:07:51,379


1169
01:07:51,379 --> 01:07:56,449


1170
01:07:56,449 --> 01:07:59,029


1171
01:07:59,029 --> 01:08:01,239


1172
01:08:01,239 --> 01:08:02,339


1173
01:08:02,339 --> 01:08:05,030


1174
01:08:05,030 --> 01:08:06,729


1175
01:08:06,729 --> 01:08:09,269


1176
01:08:09,269 --> 01:08:13,119


1177
01:08:13,119 --> 01:08:14,640


1178
01:08:14,640 --> 01:08:18,569


1179
01:08:18,569 --> 01:08:20,829


1180
01:08:20,829 --> 01:08:23,419


1181
01:08:23,419 --> 01:08:26,709


1182
01:08:26,709 --> 01:08:32,069


1183
01:08:32,069 --> 01:08:36,379


1184
01:08:36,379 --> 01:08:40,349


1185
01:08:40,349 --> 01:08:41,549


1186
01:08:41,549 --> 01:08:44,599


1187
01:08:44,599 --> 01:08:45,089


1188
01:08:45,089 --> 01:08:49,539


1189
01:08:49,539 --> 01:08:53,159


1190
01:08:53,159 --> 01:08:55,049


1191
01:08:55,049 --> 01:08:57,779


1192
01:08:57,779 --> 01:09:02,159


1193
01:09:02,159 --> 01:09:06,529


1194
01:09:06,529 --> 01:09:09,029


1195
01:09:09,029 --> 01:09:11,239


1196
01:09:11,239 --> 01:09:14,129


1197
01:09:14,129 --> 01:09:17,459


1198
01:09:17,459 --> 01:09:19,679


1199
01:09:19,679 --> 01:09:22,239


1200
01:09:22,239 --> 01:09:26,119


1201
01:09:26,119 --> 01:09:28,420


1202
01:09:28,420 --> 01:09:32,529


1203
01:09:32,529 --> 01:09:36,690


1204
01:09:36,690 --> 01:09:39,950


1205
01:09:39,950 --> 01:09:46,950


1206
01:09:55,250 --> 01:09:58,159


1207
01:09:58,159 --> 01:09:59,480


1208
01:09:59,480 --> 01:10:01,119


1209
01:10:01,119 --> 01:10:08,119


1210
01:10:09,169 --> 01:10:11,530


1211
01:10:11,530 --> 01:10:13,219


1212
01:10:13,219 --> 01:10:13,760


1213
01:10:13,760 --> 01:10:16,840


1214
01:10:16,840 --> 01:10:20,340


1215
01:10:20,340 --> 01:10:23,820


1216
01:10:23,820 --> 01:10:27,149


1217
01:10:27,149 --> 01:10:27,920


1218
01:10:27,920 --> 01:10:30,150


1219
01:10:30,150 --> 01:10:32,800


1220
01:10:32,800 --> 01:10:37,110


1221
01:10:37,110 --> 01:10:38,889


1222
01:10:38,889 --> 01:10:39,190


1223
01:10:39,190 --> 01:10:41,400


1224
01:10:41,400 --> 01:10:43,860


1225
01:10:43,860 --> 01:10:46,210


1226
01:10:46,210 --> 01:10:48,090


1227
01:10:48,090 --> 01:10:52,590


1228
01:10:52,590 --> 01:10:54,300


1229
01:10:54,300 --> 01:11:01,300


1230
01:11:02,349 --> 01:11:07,699


1231
01:11:07,699 --> 01:11:13,579


1232
01:11:13,579 --> 01:11:14,310


1233
01:11:14,310 --> 01:11:17,570


1234
01:11:17,570 --> 01:11:20,389


1235
01:11:20,389 --> 01:11:21,539


1236
01:11:21,539 --> 01:11:24,960


1237
01:11:24,960 --> 01:11:28,429


1238
01:11:28,429 --> 01:11:30,610


1239
01:11:30,610 --> 01:11:32,539


1240
01:11:32,539 --> 01:11:39,539


1241
01:11:44,349 --> 01:11:49,799


1242
01:11:49,799 --> 01:11:51,019


1243
01:11:51,019 --> 01:11:53,659


1244
01:11:53,659 --> 01:11:56,210


1245
01:11:56,210 --> 01:12:00,780


1246
01:12:00,780 --> 01:12:01,669


1247
01:12:01,669 --> 01:12:05,889


1248
01:12:05,889 --> 01:12:09,369


1249
01:12:09,369 --> 01:12:11,840


1250
01:12:11,840 --> 01:12:18,840


1251
01:12:19,639 --> 01:12:23,659


1252
01:12:23,659 --> 01:12:25,710


1253
01:12:25,710 --> 01:12:28,320


1254
01:12:28,320 --> 01:12:31,420


1255
01:12:31,420 --> 01:12:33,630


1256
01:12:33,630 --> 01:12:36,969


1257
01:12:36,969 --> 01:12:41,030


1258
01:12:41,030 --> 01:12:42,909


1259
01:12:42,909 --> 01:12:45,989


1260
01:12:45,989 --> 01:12:49,190


1261
01:12:49,190 --> 01:12:54,590


1262
01:12:54,590 --> 01:12:56,550