Linear-Time Selection

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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