- Time Complexity -
O(n log n)
- Pseudocode - MERGE-SORT(A, p, r)
1 if p < r
2 then q ← ⌊(p+r)/2⌋
3 MERGE-SORT(A, p , q)
4 MERGE-SORT(A, q + 1, r)
5 MERGE(A, p, q, r)
MERGE(A, p, q, r)
1 n 1 ← q - p + 1
2 n 2 ← r - q
3 create arrays L[1..n 1 + 1] and R[1..n 2 + 1]
4 for i ← 1 to n 1
5 do L[i] ← A[p + i - 1]
6 for j ← 1 to n 2
7 do R[j] ← A[q + j]
8 L[n 1 + 1] ← ∞
9 R[n 2 + 1] ← ∞
10 i ← 1
11 j ← 1
12 for k ← p to r
13 do if L[i] ≤ R[j]
14 then A[k] ← L[i]
15 i ← i + 1
16 else A[k] ← R[j]
17 j ← j + 1
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