787 逆序对的数量

#include<bits/stdc++.h>
using namespace std;

typedef long long  LL;
const int N = 100010;
int n;
int q[N], tmp[N];
LL merge(int l, int r){
    if (l >= r) return 0;
    int mid = l + r >> 1;
    LL res = merge(l, mid) + merge(mid + 1, r);
    
    int k = 0, i = l, j = mid + 1;
    while(i <= mid && j <= r) {
        if (q[i] <= q[j]) tmp[k++] = q[i ++];
        else {
            tmp[k ++] = q[j ++];
            res += mid - i + 1;
            //这步是关键 每一次递归都可以计算当前范围的逆序对数 然后改变一个范围内的数字顺序不影响两个范围的逆序对数  
            //q[i] 如果大于q[j]那q[i]后面的数字都大于q[j]所以 加mid - i + 1;
        }
    }
    while(i <= mid) tmp[k++] = q[i++];
    while(j <= r) tmp[k++] = q[j++];

    for(int k = 0, i = l; i <= r; k++, i++) q[i] = tmp[k];
    return res;
}
int main() {
    cin >> n;
    for (int i = 0; i < n; i++){
        cin >> q[i];
    }
    cout << merge(0, n - 1);
    return 0;
}

原文地址：http://www.cnblogs.com/echoT/p/16848628.html