CS 202 Homework 8 Solutions

Part 1: Operations

The time of executing the innermost loop equals the final value of corresponding counters.
1. counter = 40
2. counter = 40
3. counter = 70
4. counter = 32 counter2 = 8
5. counter = N*N
6. counter = 3N
7. counter = N*(N-1)
1. O(1)
2. O(1)
3. O(1)
4. O(1)
5. O(N^2)
6. O(N)
7. O(N^2)
For N < 81000, A is faster. For N > 81000, B is faster. As N grows larger, B is better.

Part 2: Sorting

1. 573, 839, 102, 550, 593, 996, 678, 111, 264, 266
  102, 839, 573, 550, 593, 996, 678, 111, 264, 266
  102, 111, 573, 550, 593, 996, 678, 839, 264, 266
  102, 111, 264, 550, 593, 996, 678, 839, 573, 266
  102, 111, 264, 266, 593, 996, 678, 839, 573, 550
  102, 111, 264, 266, 550, 996, 678, 839, 573, 593
  102, 111, 264, 266, 550, 573, 678, 839, 996, 593
  102, 111, 264, 266, 550, 573, 593, 839, 996, 678
  102, 111, 264, 266, 550, 573, 593, 678, 996, 839
  102, 111, 264, 266, 550, 573, 593, 678, 839, 996
  102, 111, 264, 266, 550, 573, 593, 678, 839, 996
2. 95, 36, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 95, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 38, 683, 92784, 73856, 3811, 392, 95, 258, 399
  36, 38, 95, 92784, 73856, 3811, 392, 683, 258, 399
  36, 38, 95, 258, 73856, 3811, 392, 683, 92784, 399
  36, 38, 95, 258, 392, 3811, 73856, 683, 92784, 399
  36, 38, 95, 258, 392, 399, 73856, 683, 92784, 3811
  36, 38, 95, 258, 392, 399, 683, 73856, 92784, 3811
  36, 38, 95, 258, 392, 399, 683, 3811, 92784, 73856
  36, 38, 95, 258, 392, 399, 683, 3811, 73856, 92784
  36, 38, 95, 258, 392, 399, 683, 3811, 73856, 92784
3. 1000, 900, 800, 700, 600, 500, 400, 300, 200, 100
  100, 900, 800, 700, 600, 500, 400, 300, 200, 1000
  100, 200, 800, 700, 600, 500, 400, 300, 900, 1000
  100, 200, 300, 700, 600, 500, 400, 800, 900, 1000
  100, 200, 300, 400, 600, 500, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
Outerloop # Inner loop iterations
1 10
2 9
3 8
4 7
5 6
6 5
7 4
8 3
9 2
10 1
1. 573, 839, 102, 550, 593, 996, 678, 111, 264, 266
  573, 839, 102, 550, 593, 996, 678, 111, 264, 266
  102, 573, 839, 550, 593, 996, 678, 111, 264, 266
  102, 550, 573, 839, 593, 996, 678, 111, 264, 266
  102, 550, 573, 593, 839, 996, 678, 111, 264, 266
  102, 550, 573, 593, 839, 996, 678, 111, 264, 266
  102, 550, 573, 593, 678, 839, 996, 111, 264, 266
  102, 111, 550, 573, 593, 678, 839, 996, 264, 266
  102, 111, 264, 550, 573, 593, 678, 839, 996, 266
  102, 111, 264, 266, 550, 573, 593, 678, 839, 996
2. 95, 36, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 95, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 95, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 95, 683, 92784, 73856, 3811, 392, 38, 258, 399
  36, 95, 683, 73856, 92784, 3811, 392, 38, 258, 399
  36, 95, 683, 3811, 73856, 92784, 392, 38, 258, 399
  36, 95, 392, 683, 3811, 73856, 92784, 38, 258, 399
  36, 38, 95, 392, 683, 3811, 73856, 92784, 258, 399
  36, 38, 95, 258, 392, 683, 3811, 73856, 92784, 399
  36, 38, 95, 258, 392, 399, 683, 3811, 73856, 92784
3. 1000, 900, 800, 700, 600, 500, 400, 300, 200, 100
  900, 1000, 800, 700, 600, 500, 400, 300, 200, 100
  800, 900, 1000, 700, 600, 500, 400, 300, 200, 100
  700, 800, 900, 1000, 600, 500, 400, 300, 200, 100
  600, 700, 800, 900, 1000, 500, 400, 300, 200, 100
  500, 600, 700, 800, 900, 1000, 400, 300, 200, 100
  400, 500, 600, 700, 800, 900, 1000, 300, 200, 100
  300, 400, 500, 600, 700, 800, 900, 1000, 200, 100
  200, 300, 400, 500, 600, 700, 800, 900, 1000, 100
  100, 200, 300, 400, 500, 600, 700, 800, 900, 1000
Charles, Harriot, Ian, Janice, Doug, Alice, Ethan, George, Bob, Frank

Outerloop #	Inner loop iterations
1	10
2	9
3	8
4	7
5	6
6	5
7	4
8	3
9	2
10	1