經典排序之歸併排序(自頂向下、自底向上)
阿新 • • 發佈:2019-01-12
遞迴:
void __merge(int arr[], int l, int mid, int r) { int a = r - l + 1; int *aux = new int[a]; for (int i = l; i <= r; i++) aux[i - l] = arr[i]; int i = l, j = mid + 1; for (int k = l; k <= r; k++) { if (i > mid){ arr[k] = aux[j - l]; j++; } else if (j > r) { arr[k] = aux[i - l]; i++; } else if (aux[i - l] < aux[j - l]) { arr[k] = aux[i - l]; i++; } else { arr[k] = aux[j - l]; j++; } } delete aux; } void __mergeSort(int arr[], int l, int r) { // 遞迴呼叫 if (l >= r) return; int mid = (l + r) / 2; __mergeSort(arr, l, mid); __mergeSort(arr, mid+1, r); if( arr[mid] > arr[mid+1]) // 減少不必要的合併 __merge(arr, l, mid, r); } void mergeSort(int arr[], int n) { __mergeSort(arr, 0, n - 1); }
自底向上:
void mergeSortBU(int arr[], int n) {
for (int sz = 1; sz <= n; sz += sz)
for (int i = 0; i + sz < n; i += sz + sz)
__merge(arr, i, i + sz - 1, min(i + sz + sz - 1, n - 1));
}