Linear time selection
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Linear-Time Selection. 29. 10. 38. 37. 02. 42. 18. 24. 34. 35. 36. 22. 44. 52. 11. 53. 12. 13. 43. 20. 04. 27. 28. 23. 06. 26. 40. 19. 01. 46. 31. 49. 08. 14. 09. 05. 03. 54. 30. 48. 47. 32. 51. 21. 45. 39. 50. 15. 25. 16. 41. 17. 33. 07.

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Linear-Time Selection

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Linear time selection

Linear-Time Selection

29

10

38

37

02

42

18

24

34

35

36

22

44

52

11

53

12

13

43

20

04

27

28

23

06

26

40

19

01

46

31

49

08

14

09

05

03

54

30

48

47

32

51

21

45

39

50

15

25

16

41

17

33

07

N = 54


Linear time selection1

Linear-Time Selection

29

14

10

09

05

38

03

37

02

02

42

12

18

01

24

17

34

20

04

35

36

22

22

44

10

06

52

11

11

25

53

16

12

13

13

24

43

20

31

07

04

27

28

28

23

23

06

38

26

15

40

40

19

19

18

01

46

43

32

31

49

35

08

14

29

39

09

05

50

26

03

53

54

30

30

41

48

47

46

33

32

51

49

21

45

45

44

39

50

52

37

15

25

54

42

16

48

41

47

17

34

33

51

07


Linear time selection2

Linear-Time Selection

29

14

10

09

05

38

03

37

02

02

42

12

18

01

24

17

34

20

04

35

36

22

22

44

10

06

52

11

11

25

53

16

12

13

13

24

43

20

31

07

04

27

28

28

23

23

06

38

26

15

40

40

19

19

18

01

46

43

32

31

49

35

08

14

29

39

09

05

50

26

03

53

54

30

30

41

48

47

46

33

32

51

49

21

45

45

44

39

50

52

37

15

25

54

42

16

48

41

47

17

34

33

51

07


Linear time selection3

Linear-Time Selection

28

14

09

05

03

02

12

01

17

20

04

36

median of medians

22

10

06

11

25

16

13

24

31

07

27

28

23

38

15

40

19

18

43

32

35

08

29

39

50

26

53

30

41

46

33

49

21

45

44

52

37

54

42

48

47

34

51


Linear time selection4

Linear-Time Selection

14

09

05

03

02

12

01

17

20

04

36

median of medians

22

10

06

11

25

16

13

24

31

07

27

28

23

38

15

40

19

18

43

32

35

08

29

39

50

26

53

30

41

46

33

49

21

45

44

52

37

54

42

48

47

34

51


Linear time selection5

Linear-Time Selection

14

09

05

03

02

12

01

17

20

04

36

median of medians

22

10

06

11

25

16

13

24

31

07

27

28

23

38

15

40

19

18

43

32

35

08

29

39

50

26

53

30

41

46

33

49

21

45

44

52

37

54

42

48

47

34

51

⎣3n/10⎦ elements smaller than or equal to 28


Linear time selection6

Linear-Time Selection

14

09

05

03

02

12

01

17

20

04

36

median of medians

22

10

06

11

25

16

13

24

31

07

27

28

23

38

15

40

19

18

43

32

35

08

29

39

50

26

53

30

41

46

33

49

21

45

44

52

37

54

42

48

47

34

51

⎣3n/10⎦ elements greater than or equal to 28


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