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#include "math/mint.hpp"#pragma once
#include<iostream>
using namespace std;
const int mod = 1000000007;
struct mint {
long long x;
mint(long long x = 0) : x((x % mod + mod) % mod) {}
mint operator-() const { return mint(-x); }
mint& operator+=(const mint& a) {
if ((x += a.x) >= mod) x -= mod;
return *this;
}
mint &operator-=(const mint& a) {
if ((x += mod - a.x) >= mod) x -= mod;
return *this;
}
mint &operator*=(const mint& a) {
(x *= a.x) %= mod;
return *this;
}
mint operator+(const mint a){ return mint(*this) += a; }
mint operator-(const mint a){ return mint(*this) -= a; }
mint operator*(const mint a){ return mint(*this) *= a; }
mint pow(long long t) const {
if(!t) return 1;
mint a = pow(t>>1);
a *= a;
if(t&1) a *= *this;
return a;
}
mint inv() const { return pow(mod-2);}
mint& operator/=(const mint& a) { return *this *= a.inv(); }
mint operator/(const mint& a){ return mint(*this) /= a; }
};
mint pow(mint a, long long b){
return a.pow(b);
}
istream& operator>>(istream& is, mint& a) { return is >> a.x; }
ostream& operator<<(ostream& os, const mint& a) { return os << a.x; }#line 2 "math/mint.hpp"
#include<iostream>
using namespace std;
const int mod = 1000000007;
struct mint {
long long x;
mint(long long x = 0) : x((x % mod + mod) % mod) {}
mint operator-() const { return mint(-x); }
mint& operator+=(const mint& a) {
if ((x += a.x) >= mod) x -= mod;
return *this;
}
mint &operator-=(const mint& a) {
if ((x += mod - a.x) >= mod) x -= mod;
return *this;
}
mint &operator*=(const mint& a) {
(x *= a.x) %= mod;
return *this;
}
mint operator+(const mint a){ return mint(*this) += a; }
mint operator-(const mint a){ return mint(*this) -= a; }
mint operator*(const mint a){ return mint(*this) *= a; }
mint pow(long long t) const {
if(!t) return 1;
mint a = pow(t>>1);
a *= a;
if(t&1) a *= *this;
return a;
}
mint inv() const { return pow(mod-2);}
mint& operator/=(const mint& a) { return *this *= a.inv(); }
mint operator/(const mint& a){ return mint(*this) /= a; }
};
mint pow(mint a, long long b){
return a.pow(b);
}
istream& operator>>(istream& is, mint& a) { return is >> a.x; }
ostream& operator<<(ostream& os, const mint& a) { return os << a.x; }