1 00:00:10,040 --> 00:00:12,179 (한국어 번역 by 박세민) 2 00:00:12,179 --> 00:00:15,449 이 강의는 Stanford Center for Professional Development에 의해 전달되었습니다. 3 00:00:15,449 --> 00:00:22,449 . 4 00:00:25,119 --> 00:00:29,819 오늘 할 이야기는 여러 종류의 Learning algorithm에 대한 것입니다. 특히, 5 00:00:29,819 --> 00:00:32,790 generative learning algorithms에 대해 먼저 이야기 하고 6 00:00:32,790 --> 00:00:37,840 Gaussian Discriminant Analysis(GDA)라고 불리는 알고리즘에 대해 이야기 할 거에요. 7 00:00:37,840 --> 00:00:43,340 잠깐 옆길로 빠져서 Gaussian에 대해 이야기 할 것이고, 8 00:00:43,340 --> 00:00:45,700 그 후 간단히 Generative와 Discriminative learning algorithm에 대한 비교를 할 거에요. 9 00:00:45,700 --> 00:00:49,780 그리고 Naive Bayses랑 Laplace Smoothing에 대해 이야기하면서 강의를 마무리 짓기를 희망합니다. 10 00:00:49,780 --> 00:00:52,140 . 11 00:00:52,140 --> 00:00:55,020 Generative learning algorithm 논의의 동기 유발을 위해 12 00:00:55,020 --> 00:00:58,590 이전까지 이야기 했던 Classification algorithm과 대조해 보기로 하죠. 13 00:00:58,590 --> 00:01:02,100 이전까지 이야기 했던 Classification algorithm과 대조해 보기로 하죠. 14 00:01:02,100 --> 00:01:08,920 이런걸 하는 알고리즘을 생각해봅시다. 트래이닝 셋이 주어지고 15 00:01:08,920 --> 00:01:11,640 그리고 16 00:01:11,640 --> 00:01:15,370 알고리즘을 맞게 돌린다면 , logistic regression을 이 트레이닝 세트에 사용한다고 하였을 때, 17 00:01:15,370 --> 00:01:19,830 제가 생각하는 logistic regression은 데이터에서 18 00:01:19,830 --> 00:01:24,369 엑스표와 동그라미를 구분해주는 직선을 찾는 과정이에요. 즉, 일종의 19 00:01:24,369 --> 00:01:27,380 직선을 찾기위한 노력이죠. 20 00:01:27,380 --> 00:01:29,400 노이즈를 살짝 넣을게요. 21 00:01:29,400 --> 00:01:33,060 직선을 찾는건데 22 00:01:33,060 --> 00:01:34,430 that separates out 23 00:01:34,430 --> 00:01:38,630 the possitive and negative classes as well as possible 24 00:01:38,630 --> 00:01:42,570 25 00:01:42,570 --> 00:01:46,250 26 00:01:46,250 --> 00:01:47,230 27 00:01:47,230 --> 00:01:49,720 28 00:01:49,720 --> 00:01:51,100 29 00:01:51,100 --> 00:01:52,710 30 00:01:52,710 --> 00:01:54,080 31 00:01:54,080 --> 00:01:57,930 32 00:01:57,930 --> 00:01:59,350 33 00:01:59,350 --> 00:02:01,530 34 00:02:01,530 --> 00:02:04,750 35 00:02:04,750 --> 00:02:08,720 36 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389 00:22:28,940 --> 00:22:30,470 390 00:22:30,470 --> 00:22:35,590 391 00:22:35,590 --> 00:22:39,710 392 00:22:39,710 --> 00:22:41,630 393 00:22:41,630 --> 00:22:44,610 394 00:22:44,610 --> 00:22:46,710 395 00:22:46,710 --> 00:22:50,400 396 00:22:50,400 --> 00:22:54,720 397 00:22:54,720 --> 00:22:57,230 398 00:22:57,230 --> 00:23:04,230 399 00:23:05,870 --> 00:23:12,870 400 00:23:14,540 --> 00:23:15,480 401 00:23:15,480 --> 00:23:19,790 402 00:23:19,790 --> 00:23:21,530 403 00:23:21,530 --> 00:23:23,540 404 00:23:23,540 --> 00:23:27,450 405 00:23:27,450 --> 00:23:30,950 406 00:23:30,950 --> 00:23:33,039 407 00:23:33,039 --> 00:23:36,840 408 00:23:36,840 --> 00:23:38,010 409 00:23:38,010 --> 00:23:42,250 410 00:23:42,250 --> 00:23:47,340 411 00:23:47,340 --> 00:23:50,970 412 00:23:50,970 --> 00:23:53,049 413 00:23:53,049 --> 00:23:56,470 414 00:23:56,470 --> 00:23:59,910 415 00:23:59,910 --> 00:24:00,780 416 00:24:00,780 --> 00:24:05,480 417 00:24:05,480 --> 00:24:08,750 418 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--> 00:26:23,070 448 00:26:23,070 --> 00:26:24,679 449 00:26:24,679 --> 00:26:27,440 450 00:26:27,440 --> 00:26:30,090 451 00:26:30,090 --> 00:26:33,470 452 00:26:33,470 --> 00:26:37,960 453 00:26:37,960 --> 00:26:39,520 454 00:26:39,520 --> 00:26:44,560 455 00:26:44,560 --> 00:26:47,840 456 00:26:47,840 --> 00:26:54,840 457 00:26:57,030 --> 00:27:00,180 458 00:27:00,180 --> 00:27:04,150 459 00:27:04,150 --> 00:27:06,789 460 00:27:06,789 --> 00:27:10,260 461 00:27:10,260 --> 00:27:14,470 462 00:27:14,470 --> 00:27:21,470 463 00:27:24,420 --> 00:27:25,820 464 00:27:25,820 --> 00:27:31,570 465 00:27:31,570 --> 00:27:32,929 466 00:27:32,929 --> 00:27:37,250 467 00:27:37,250 --> 00:27:39,720 468 00:27:39,720 --> 00:27:44,270 469 00:27:44,270 --> 00:27:45,200 470 00:27:45,200 --> 00:27:48,810 471 00:27:48,810 --> 00:27:52,770 472 00:27:52,770 --> 00:27:56,899 473 00:27:56,899 --> 00:27:59,140 474 00:27:59,140 --> 00:28:00,929 475 00:28:00,929 --> 00:28:04,070 476 00:28:04,070 --> 00:28:08,060 477 00:28:08,060 --> 00:28:09,510 478 00:28:09,510 --> 00:28:12,210 479 00:28:12,210 --> 00:28:13,660 480 00:28:13,660 --> 00:28:18,730 481 00:28:18,730 --> 00:28:21,340 482 00:28:21,340 --> 00:28:24,529 483 00:28:24,529 --> 00:28:29,230 484 00:28:29,230 --> 00:28:31,330 485 00:28:31,330 --> 00:28:36,370 486 00:28:36,370 --> 00:28:40,770 487 00:28:40,770 --> 00:28:44,230 488 00:28:44,230 --> 00:28:49,660 489 00:28:49,660 --> 00:28:52,200 490 00:28:52,200 --> 00:28:54,480 491 00:28:54,480 --> 00:28:56,490 492 00:28:56,490 --> 00:28:57,539 493 00:28:57,539 --> 00:28:58,799 494 00:28:58,799 --> 00:29:01,779 495 00:29:01,779 --> 00:29:03,080 496 00:29:03,080 --> 00:29:06,770 497 00:29:06,770 --> 00:29:11,270 498 00:29:11,270 --> 00:29:13,930 499 00:29:13,930 --> 00:29:16,470 500 00:29:16,470 --> 00:29:20,550 501 00:29:20,550 --> 00:29:21,919 502 00:29:21,919 --> 00:29:25,320 503 00:29:25,320 --> 00:29:27,540 504 00:29:27,540 --> 00:29:31,510 505 00:29:31,510 --> 00:29:33,830 506 00:29:33,830 --> 00:29:36,429 507 00:29:36,429 --> 00:29:38,510 508 00:29:38,510 --> 00:29:41,620 509 00:29:41,620 --> 00:29:46,490 510 00:29:46,490 --> 00:29:48,150 511 00:29:48,150 --> 00:29:50,039 512 00:29:50,039 --> 00:29:56,410 513 00:29:56,410 --> 00:30:00,030 514 00:30:00,030 --> 00:30:02,350 515 00:30:02,350 --> 00:30:05,550 516 00:30:05,550 --> 00:30:08,130 517 00:30:08,130 --> 00:30:13,330 518 00:30:13,330 --> 00:30:19,290 519 00:30:19,290 --> 00:30:22,960 520 00:30:22,960 --> 00:30:27,360 521 00:30:27,360 --> 00:30:28,900 522 00:30:28,900 --> 00:30:31,659 523 00:30:31,659 --> 00:30:35,730 524 00:30:35,730 --> 00:30:39,570 525 00:30:39,570 --> 00:30:44,600 526 00:30:44,600 --> 00:30:47,500 527 00:30:47,500 --> 00:30:50,070 528 00:30:50,070 --> 00:30:57,070 529 00:31:01,920 --> 00:31:04,040 530 00:31:04,040 --> 00:31:05,760 531 00:31:05,760 --> 00:31:09,769 532 00:31:09,769 --> 00:31:12,330 533 00:31:12,330 --> 00:31:13,750 534 00:31:13,750 --> 00:31:15,919 535 00:31:15,919 --> 00:31:18,600 536 00:31:18,600 --> 00:31:22,020 537 00:31:22,020 --> 00:31:25,159 538 00:31:25,159 --> 00:31:28,940 539 00:31:28,940 --> 00:31:30,159 540 00:31:30,159 --> 00:31:33,059 541 00:31:33,059 --> 00:31:37,950 542 00:31:37,950 --> 00:31:39,290 543 00:31:39,290 --> 00:31:43,270 544 00:31:43,270 --> 00:31:46,539 545 00:31:46,539 --> 00:31:48,630 546 00:31:48,630 --> 00:31:49,600 547 00:31:49,600 --> 00:31:52,310 548 00:31:52,310 --> 00:31:54,930 549 00:31:54,930 --> 00:31:58,710 550 00:31:58,710 --> 00:32:00,950 551 00:32:00,950 --> 00:32:02,970 552 00:32:02,970 --> 00:32:05,200 553 00:32:05,200 --> 00:32:09,380 554 00:32:09,380 --> 00:32:12,500 555 00:32:12,500 --> 00:32:14,490 556 00:32:14,490 --> 00:32:19,929 557 00:32:19,929 --> 00:32:21,380 558 00:32:21,380 --> 00:32:23,470 559 00:32:23,470 --> 00:32:25,080 560 00:32:25,080 --> 00:32:30,050 561 00:32:30,050 --> 00:32:30,760 562 00:32:30,760 --> 00:32:31,690 563 00:32:31,690 --> 00:32:34,210 564 00:32:34,210 --> 00:32:35,240 565 00:32:35,240 --> 00:32:39,080 566 00:32:39,080 --> 00:32:42,269 567 00:32:42,269 --> 00:32:43,170 568 00:32:43,170 --> 00:32:45,340 569 00:32:45,340 --> 00:32:49,090 570 00:32:49,090 --> 00:32:50,449 571 00:32:50,449 --> 00:32:52,810 572 00:32:52,810 --> 00:32:55,030 573 00:32:55,030 --> 00:32:58,660 574 00:32:58,660 --> 00:33:03,140 575 00:33:03,140 --> 00:33:06,740 576 00:33:06,740 --> 00:33:11,170 577 00:33:11,170 --> 00:33:13,890 578 00:33:13,890 --> 00:33:16,300 579 00:33:16,300 --> 00:33:18,350 580 00:33:18,350 --> 00:33:25,350 581 00:33:30,570 --> 00:33:37,570 582 00:33:53,170 --> 00:33:57,860 583 00:33:57,860 --> 00:34:00,360 584 00:34:00,360 --> 00:34:04,759 585 00:34:04,759 --> 00:34:05,960 586 00:34:05,960 --> 00:34:08,080 587 00:34:08,080 --> 00:34:13,829 588 00:34:13,829 --> 00:34:17,089 589 00:34:17,089 --> 00:34:20,289 590 00:34:20,289 --> 00:34:24,269 591 00:34:24,269 --> 00:34:27,419 592 00:34:27,419 --> 00:34:28,589 593 00:34:28,589 --> 00:34:30,639 594 00:34:30,639 --> 00:34:37,639 595 00:34:40,689 --> 00:34:43,519 596 00:34:43,519 --> 00:34:44,489 597 00:34:44,489 --> 00:34:49,329 598 00:34:49,329 --> 00:34:53,929 599 00:34:53,929 --> 00:34:57,229 600 00:34:57,229 --> 00:35:00,569 601 00:35:00,569 --> 00:35:02,089 602 00:35:02,089 --> 00:35:05,809 603 00:35:05,809 --> 00:35:08,319 604 00:35:08,319 --> 00:35:11,799 605 00:35:11,799 --> 00:35:16,349 606 00:35:16,349 --> 00:35:19,360 607 00:35:19,360 --> 00:35:22,739 608 00:35:22,739 --> 00:35:24,389 609 00:35:24,389 --> 00:35:26,169 610 00:35:26,169 --> 00:35:28,609 611 00:35:28,609 --> 00:35:32,039 612 00:35:32,039 --> 00:35:36,509 613 00:35:36,509 --> 00:35:39,199 614 00:35:39,199 --> 00:35:41,420 615 00:35:41,420 --> 00:35:42,640 616 00:35:42,640 --> 00:35:43,849 617 00:35:43,849 --> 00:35:46,839 618 00:35:46,839 --> 00:35:51,130 619 00:35:51,130 --> 00:35:52,439 620 00:35:52,439 --> 00:35:54,429 621 00:35:54,429 --> 00:35:57,259 622 00:35:57,259 --> 00:36:04,259 623 00:36:04,619 --> 00:36:06,059 624 00:36:06,059 --> 00:36:11,609 625 00:36:11,609 --> 00:36:15,019 626 00:36:15,019 --> 00:36:17,400 627 00:36:17,400 --> 00:36:22,829 628 00:36:22,829 --> 00:36:29,829 629 00:36:29,940 --> 00:36:31,099 630 00:36:31,099 --> 00:36:35,749 631 00:36:35,749 --> 00:36:36,559 632 00:36:36,559 --> 00:36:40,079 633 00:36:40,079 --> 00:36:43,049 634 00:36:43,049 --> 00:36:47,099 635 00:36:47,099 --> 00:36:48,569 636 00:36:48,569 --> 00:36:52,039 637 00:36:52,039 --> 00:36:56,199 638 00:36:56,199 --> 00:36:57,499 639 00:36:57,499 --> 00:36:59,239 640 00:36:59,239 --> 00:37:02,609 641 00:37:02,609 --> 00:37:04,380 642 00:37:04,380 --> 00:37:05,290 643 00:37:05,290 --> 00:37:07,609 644 00:37:07,609 --> 00:37:09,529 645 00:37:09,529 --> 00:37:10,220 646 00:37:10,220 --> 00:37:13,569 647 00:37:13,569 --> 00:37:19,299 648 00:37:19,299 --> 00:37:22,819 649 00:37:22,819 --> 00:37:25,579 650 00:37:25,579 --> 00:37:26,110 651 00:37:26,110 --> 00:37:29,690 652 00:37:29,690 --> 00:37:31,429 653 00:37:31,429 --> 00:37:33,980 654 00:37:33,980 --> 00:37:36,869 655 00:37:36,869 --> 00:37:40,210 656 00:37:40,210 --> 00:37:44,519 657 00:37:44,519 --> 00:37:51,519 658 00:37:52,109 --> 00:37:56,139 659 00:37:56,139 --> 00:37:58,799 660 00:37:58,799 --> 00:38:01,089 661 00:38:01,089 --> 00:38:05,359 662 00:38:05,359 --> 00:38:07,839 663 00:38:07,839 --> 00:38:09,049 664 00:38:09,049 --> 00:38:13,469 665 00:38:13,469 --> 00:38:15,890 666 00:38:15,890 --> 00:38:19,989 667 00:38:19,989 --> 00:38:20,750 668 00:38:20,750 --> 00:38:24,369 669 00:38:24,369 --> 00:38:26,019 670 00:38:26,019 --> 00:38:26,880 671 00:38:26,880 --> 00:38:29,930 672 00:38:29,930 --> 00:38:31,899 673 00:38:31,899 --> 00:38:34,039 674 00:38:34,039 --> 00:38:36,229 675 00:38:36,229 --> 00:38:40,439 676 00:38:40,439 --> 00:38:41,870 677 00:38:41,870 --> 00:38:45,959 678 00:38:45,959 --> 00:38:48,959 679 00:38:48,959 --> 00:38:50,729 680 00:38:50,729 --> 00:38:54,150 681 00:38:54,150 --> 00:38:55,419 682 00:38:55,419 --> 00:39:00,019 683 00:39:00,019 --> 00:39:01,029 684 00:39:01,029 --> 00:39:03,139 685 00:39:03,139 --> 00:39:09,089 686 00:39:09,089 --> 00:39:11,159 687 00:39:11,159 --> 00:39:14,849 688 00:39:14,849 --> 00:39:16,319 689 00:39:16,319 --> 00:39:18,069 690 00:39:18,069 --> 00:39:21,799 691 00:39:21,799 --> 00:39:23,379 692 00:39:23,379 --> 00:39:25,429 693 00:39:25,429 --> 00:39:28,829 694 00:39:28,829 --> 00:39:29,880 695 00:39:29,880 --> 00:39:32,520 696 00:39:32,520 --> 00:39:36,649 697 00:39:36,649 --> 00:39:41,380 698 00:39:41,380 --> 00:39:43,640 699 00:39:43,640 --> 00:39:44,450 700 00:39:44,450 --> 00:39:51,450 701 00:39:51,889 --> 00:39:54,169 702 00:39:54,169 --> 00:39:55,069 703 00:39:55,069 --> 00:39:56,499 704 00:39:56,499 --> 00:39:57,909 705 00:39:57,909 --> 00:39:59,589 706 00:39:59,589 --> 00:40:02,829 707 00:40:02,829 --> 00:40:04,700 708 00:40:04,700 --> 00:40:08,329 709 00:40:08,329 --> 00:40:13,390 710 00:40:13,390 --> 00:40:14,009 711 00:40:14,009 --> 00:40:15,879 712 00:40:15,879 --> 00:40:18,849 713 00:40:18,849 --> 00:40:19,549 714 00:40:19,549 --> 00:40:25,589 715 00:40:25,589 --> 00:40:27,609 716 00:40:27,609 --> 00:40:29,900 717 00:40:29,900 --> 00:40:32,200 718 00:40:32,200 --> 00:40:35,160 719 00:40:35,160 --> 00:40:39,630 720 00:40:39,630 --> 00:40:41,509 721 00:40:41,509 --> 00:40:45,209 722 00:40:45,209 --> 00:40:49,359 723 00:40:49,359 --> 00:40:55,819 724 00:40:55,819 --> 00:40:57,559 725 00:40:57,559 --> 00:41:01,529 726 00:41:01,529 --> 00:41:05,319 727 00:41:05,319 --> 00:41:08,150 728 00:41:08,150 --> 00:41:11,779 729 00:41:11,779 --> 00:41:15,470 730 00:41:15,470 --> 00:41:16,339 731 00:41:16,339 --> 00:41:23,339 732 00:41:23,979 --> 00:41:25,579 733 00:41:25,579 --> 00:41:29,369 734 00:41:29,369 --> 00:41:34,059 735 00:41:34,059 --> 00:41:36,279 736 00:41:36,279 --> 00:41:37,890 737 00:41:37,890 --> 00:41:40,880 738 00:41:40,880 --> 00:41:47,880 739 00:41:52,900 --> 00:41:59,680 740 00:41:59,680 --> 00:42:01,189 741 00:42:01,189 --> 00:42:07,589 742 00:42:07,589 --> 00:42:09,300 743 00:42:09,300 --> 00:42:13,509 744 00:42:13,509 --> 00:42:17,210 745 00:42:17,210 --> 00:42:18,929 746 00:42:18,929 --> 00:42:23,899 747 00:42:23,899 --> 00:42:26,279 748 00:42:26,279 --> 00:42:33,279 749 00:42:33,859 --> 00:42:38,889 750 00:42:38,889 --> 00:42:43,269 751 00:42:43,269 --> 00:42:44,679 752 00:42:44,679 --> 00:42:47,590 753 00:42:47,590 --> 00:42:50,180 754 00:42:50,180 --> 00:42:52,509 755 00:42:52,509 --> 00:42:53,609 756 00:42:53,609 --> 00:42:57,029 757 00:42:57,029 --> 00:42:59,099 758 00:42:59,099 --> 00:43:02,089 759 00:43:02,089 --> 00:43:03,689 760 00:43:03,689 --> 00:43:07,519 761 00:43:07,519 --> 00:43:09,439 762 00:43:09,439 --> 00:43:12,239 763 00:43:12,239 --> 00:43:13,279 764 00:43:13,279 --> 00:43:16,849 765 00:43:16,849 --> 00:43:19,299 766 00:43:19,299 --> 00:43:22,479 767 00:43:22,479 --> 00:43:24,989 768 00:43:24,989 --> 00:43:28,739 769 00:43:28,739 --> 00:43:35,739 770 00:43:38,809 --> 00:43:40,960 771 00:43:40,960 --> 00:43:42,900 772 00:43:42,900 --> 00:43:44,399 773 00:43:44,399 --> 00:43:48,619 774 00:43:48,619 --> 00:43:53,299 775 00:43:53,299 --> 00:44:00,299 776 00:44:05,109 --> 00:44:09,969 777 00:44:09,969 --> 00:44:11,059 778 00:44:11,059 --> 00:44:12,499 779 00:44:12,499 --> 00:44:14,199 780 00:44:14,199 --> 00:44:18,269 781 00:44:18,269 --> 00:44:22,599 782 00:44:22,599 --> 00:44:29,599 783 00:44:29,889 --> 00:44:34,719 784 00:44:34,719 --> 00:44:37,609 785 00:44:37,609 --> 00:44:44,609 786 00:44:44,849 --> 00:44:49,690 787 00:44:49,690 --> 00:44:54,109 788 00:44:54,109 --> 00:44:56,529 789 00:44:56,529 --> 00:44:57,489 790 00:44:57,489 --> 00:45:02,299 791 00:45:02,299 --> 00:45:04,759 792 00:45:04,759 --> 00:45:06,849 793 00:45:06,849 --> 00:45:11,679 794 00:45:11,679 --> 00:45:12,589 795 00:45:12,589 --> 00:45:16,649 796 00:45:16,649 --> 00:45:20,789 797 00:45:20,789 --> 00:45:24,449 798 00:45:24,449 --> 00:45:27,889 799 00:45:27,889 --> 00:45:30,839 800 00:45:30,839 --> 00:45:32,369 801 00:45:32,369 --> 00:45:34,099 802 00:45:34,099 --> 00:45:36,579 803 00:45:36,579 --> 00:45:38,049 804 00:45:38,049 --> 00:45:42,179 805 00:45:42,179 --> 00:45:44,400 806 00:45:44,400 --> 00:45:46,469 807 00:45:46,469 --> 00:45:52,289 808 00:45:52,289 --> 00:45:55,569 809 00:45:55,569 --> 00:45:59,419 810 00:45:59,419 --> 00:46:01,379 811 00:46:01,379 --> 00:46:04,140 812 00:46:04,140 --> 00:46:08,579 813 00:46:08,579 --> 00:46:09,559 814 00:46:09,559 --> 00:46:14,249 815 00:46:14,249 --> 00:46:17,979 816 00:46:17,979 --> 00:46:21,969 817 00:46:21,969 --> 00:46:24,739 818 00:46:24,739 --> 00:46:27,899 819 00:46:27,899 --> 00:46:30,829 820 00:46:30,829 --> 00:46:35,180 821 00:46:35,180 --> 00:46:37,860 822 00:46:37,860 --> 00:46:41,249 823 00:46:41,249 --> 00:46:44,319 824 00:46:44,319 --> 00:46:46,560 825 00:46:46,560 --> 00:46:49,209 826 00:46:49,209 --> 00:46:52,939 827 00:46:52,939 --> 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--> 00:51:15,519 916 00:51:15,519 --> 00:51:19,049 917 00:51:19,049 --> 00:51:20,289 918 00:51:20,289 --> 00:51:23,489 919 00:51:23,489 --> 00:51:25,979 920 00:51:25,979 --> 00:51:28,190 921 00:51:28,190 --> 00:51:31,410 922 00:51:31,410 --> 00:51:37,050 923 00:51:37,050 --> 00:51:37,469 924 00:51:37,469 --> 00:51:39,349 925 00:51:39,349 --> 00:51:41,239 926 00:51:41,239 --> 00:51:42,519 927 00:51:42,519 --> 00:51:44,269 928 00:51:44,269 --> 00:51:46,599 929 00:51:46,599 --> 00:51:48,180 930 00:51:48,180 --> 00:51:50,829 931 00:51:50,829 --> 00:51:53,469 932 00:51:53,469 --> 00:51:57,869 933 00:51:57,869 --> 00:52:01,519 934 00:52:01,519 --> 00:52:03,589 935 00:52:03,589 --> 00:52:06,290 936 00:52:06,290 --> 00:52:07,959 937 00:52:07,959 --> 00:52:11,819 938 00:52:11,819 --> 00:52:16,419 939 00:52:16,419 --> 00:52:20,689 940 00:52:20,689 --> 00:52:23,019 941 00:52:23,019 --> 00:52:27,959 942 00:52:27,959 --> 00:52:29,839 943 00:52:29,839 --> 00:52:33,999 944 00:52:33,999 --> 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