#include <bits/stdc++.h>
using namespace std;
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define synchronize {ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);}
#define ll long long
#define pii pair <int, int>
#define fi first
#define se second
template<class X, class Y>
bool maximize(X &x, const Y &y) {
if (x < y) {
x = y;
return true;
}
else return false;
}
template <class X, class Y>
bool minimize(X &x, Y y) {
if (x > y) {
x = y;
return true;
}
return false;
}
const int nmax = 3e5 + 5;
const ll mod = 1e9 + 7;
const ll inf = 1e18;
int sum(int a, int b) {
return a + b;
}
