分治 + 归并 通过分治缩减排序规模,然后再将分治后的答案进行归并,逐渐得到原答案。
#include <stdio.h>
#include <stdlib.h>
typedef int bool;
#define true 1
#define false 0
void swap(int *a, int* b) {
int t = *a;
*a = *b;
*b = t;
}
void show(int *a, int n) {
int i = 0;
for (i = 0; i < n; i++) {
printf("%d", a[i]);
if (i != n - 1) {
printf(" ");
}
}
printf("\n");
}
/*
这里的m很关键
left = [l, m-1] right = [m, r]
*/
void Merge(int *a, int l, int m, int r) {
int leftSize = m - l;
int rightSize = r - m + 1;
int* left = (int*)malloc(sizeof(int) * leftSize);
if (!left) {
printf("malloc fail!");
return;
}
int *right = (int*)malloc(sizeof(int) * rightSize);
if (!right) {
printf("malloc fail!");
return;
}
int i = 0;
for (i = l; i < m; i++) {
left[i - l] = a[i];
}
for (i = m; i <= r; i++) {
right[i - m] = a[i];
}
i = 0;
int j = 0;
int k = l;
while (i < leftSize && j < rightSize) {
if (left[i] <= right[j]) {
a[k++] = left[i++];
} else {
a[k++] = right[j++];
}
}
while (i < leftSize) {
a[k++] = left[i++];
}
while (j < rightSize) {
a[k++] = right[j++];
}
free(left);
left = NULL;
free(right);
right = NULL;
}
void MergeSort(int *a, int l, int r) {
if (l >= r) {
return;
}
int m = (r - l) / 2 + l;
MergeSort(a, l, m);
MergeSort(a, m + 1, r);
Merge(a, l, m + 1, r);
}
int main() {
int a[] = {3, 1, 2, 4, 7, 0, 5, 8, 6, 9};
int n = sizeof(a) / sizeof(int);
show(a, n);
MergeSort(a, 0, n - 1);
show(a, n);
return 0;
}