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1) When the input sequence has fewer than two elements, returns.
2) Partition this input sequence into two halves.
3) Sort two subsequences while using same algorithm.
4) Merge two sorted subsequences to create the output sequence.
1) Divide the block into two subblock associated with 'equal' size
2) Merge sort every block recursively
3) Merge the two sorted sub blocks in order to provided the sorted block
| If (low < high){ split the sub array into two halves merge sort the left half merge sort the righ half merge the two sorted halves into one sorted array } |
| mergeSort( A, L, H )// here array = A, low = L, high = H, mddle = M // { M = ( L + H )/2; mergeSort ( A, L, M ); mergeSort ( A, M+1, H ); merge ( A, L, M, M+1, H ); } |
1) It’s algorithm divides a problem into simpler version of itself.
2) By breaking down a problem into smaller parts, they become easier to solve. Usually, the solution for the smaller sub-problems can be applied to the larger, complicated one.
Algorithm: MERGE( M, u, v, w) m1 <= v - u + 1 m2 <= w - v array create L[1 .. m1 +1] and R[1 ..m2+1] for j <= 1 to m1 do L[i] <= M[u+ j -1] for k <= 1 to m2 do R[k] <= M[v+ k] L[m1+1] <= infinity R[m2+1] <= infinity j <= 1 k <= 1 for k <= u to w do if L[j] <= R[k] then M[l] <= L[j] j <= j+1 else M[l] <= R[k] k <= k+1 |
Example:-
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