Merge Sort Time Complexity
Assuming that the merge operation takes O(n) time, what is the overall time complexity in Big-O notation of the ‘mergeSort’ method?
public class MergeSort {
public void mergeSort(int[] arr, int low, int high) {
if(low < high) {
int mid = (low + high) / 2;
mergeSort(arr, low, mid);
mergeSort(arr, mid + 1, high);
merge(arr, low, mid, high);
}
}
private void merge(int[] arr, int low, int mid, int high) {
int n1 = mid - low + 1;
int n2 = high - mid;
int[] left = new int[n1];
int[] right = new int[n2];
for(int i = 0; i < n1; i++){
left[i] = arr[low + i];
}
for(int j = 0; j < n2; j++){
right[j] = arr[mid + 1 + j];
}
int i = 0, j = 0, k = low;
while(i < n1 && j < n2) {
if(left[i] <= right[j]){
arr[k++] = left[i++];
} else {
arr[k++] = right[j++];
}
}
while(i < n1) {
arr[k++] = left[i++];
}
while(j < n2) {
arr[k++] = right[j++];
}
}
}
A
O(n log n)
B
O(n^2)
C
O(log n)
D
O(n)
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