排序算法之归并排序 Merge Sort
归并排序的基本思想是:
- 将给定的包含n个元素的局部数组“分割”成两个局部数组,每个数组各包含n/2各元素。
- 对两个局部数组分别执行mergeSort排序。
- 通过merge将两个已排序完毕的局部数组整合成一个数组。
#inlcude <iostream>
using namespace std;
#define MAX 500000
#define SENTINEL 2000000000
int L[MAX/2+2], R[MAX/2+2];
int cnt;
void merge(int A[], int n, int left, int mid, int right){
int n1 = mid - left;
int n2 = right - mid;
for(int i=0; i< n1; i++)L[i] = A[left+i];
for(int i = 0; i< n2;i++) R[i] = A[mid+i];
L[n1] = R[n2] = SENTINEL;
int i = 0; j = 0;
for(int k = left; k<right;k++){
cnt++;
if(L[i]<=R[j]){
A[k] = L[i++];
}else{
A[k] = R[j++];
}
}
}
void mergeSort(int A[], int n, int left, int right){
if(left+1 < right){
int mid = (left + right) / 2;
mergeSort(A, n, left, mid);
mergeSort(A, n, mid, right);
merge(A, n, left, mid, right);
}
}
int main(){
int A[MAX], n, i;
cnt = 0;
cin >> n;
for(i = 0; i<n; i++) cin>>A[i];
mergeSort(A, n, 0, n);
for(i=0; i<n; i++){
if(i) cout << " ";
cout << A[i];
}
cout << endl;
cout << cnt << endl;
return 0;
}