Apples > Oranges?
Computer Science
Level
2
Consider any given comparison sort. What is the least number of comparisons in the worst case it has to do in order to sort 5 numbers?
The answer is 7.
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1 solution
Example:
Quick sort:
4 5 3 1 2
Compare [4] times (45, 43, 41, 42):
3 1 2 [4] [5]
Compare [2] times (31, 32):
1 2 [3] [4] [5]
Compare [1] time (12):
[1] [2] [3] [4] [5]
Total = 4+2+1 = 7