头文件

#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <stack>
#include <queue>
#include <cctype>
#include <cstdio>
#include <string>
#include <vector>
#include <climits>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#define LL long long
typedef long long type;
#define PI 3.1415926535897932626
using namespace std;
//type gcd(type a, type b) {return b == 0 ? a : gcd(b, a % b);}
int gcd(int a, int b) {return a % b == 0 ? b : gcd(b, a % b);}