The Key Algorithm: Sequential K-Way Merge (Step 8)

0 1 3 3 3 3 4 4 5 6 7 7 8 9 9

0 1 2 3 3 3 4 5 6 6 7 7 8 8 9

0 1 2 2 3 3 4 4 5 5 7 7 8 9 9

data

sequential

k-way merge

result

0 0 0 1 1 1 2 2

sequential

k-way merge

sequential

k-way merge

4 4 4 4 4 5 5

7 7 7 7 7 7 8 8

Sequential complexity: O(n log2(k)) or O(nk)

Previous slide

Next slide

Back to first slide

View graphic version