#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned int ul;
typedef unsigned long long ull;
#define mask(i) (1LL << (i))
#define getbit(mask, i) (((mask) >> (i)) & 1)
#define all(v) (v).begin(), (v).end()
#define IN "A.INP"
#define OUT "A.OUT"
#define int long long
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a/gcd(a,b)*b;}
ll lastbit(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printarr(T the_array_itself, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: the_array_itself) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(all(a));
a.resize(unique(all(a)) - a.begin());
}
const long long inf = 1e18, MOD = 1e9+7;
struct Modular{
ll x;
Modular(ll _x = 0){
x = _x % MOD;
if (x < 0) x += MOD;
}
Modular& operator += (Modular y){
x += y.x;
if (x >= MOD) x -= MOD;
return *this;
}
Modular operator + (Modular y) {
Modular tmp = *this;
return tmp += y;
}
Modular& operator -= (Modular y){
x -= y.x;
if (x < 0) x += MOD;
return *this;
}
Modular operator - (Modular y) {
Modular tmp = *this;
return tmp -= y;
}
Modular& operator *= (Modular y){
x *= y.x;
if (x >= MOD) x %= MOD;
return *this;
}
Modular operator * (Modular y) {
Modular tmp = *this;
return tmp += y;
}
// use at your own risk
bool operator == (Modular y){
return x == y.x;
}
bool operator != (Modular y){
return x != y.x;
}
};
ostream& operator << (ostream& out, Modular x){
out << x.x;
return out;
}
Modular fast_pow(Modular a, int n){
Modular ans = 1;
while(n > 0){
if (n & 1) ans *= a;
a *= a;
n >>= 1;
}
return ans;
}
Modular inverse(Modular a){return fast_pow(a, MOD - 2);}
const int N = 6e5 + 69;
vector<Modular> fact(N), ifact(N);
void prepare(){
fact[0] = 1;
for(int i = 1; i < N; ++i) fact[i] = fact[i-1] * i;
ifact[N - 1] = inverse(fact[N-1]);
for(int i = N-1; i >= 1; --i) ifact[i-1] = ifact[i] * i;
}
Modular C(int n, int k){
if (k < 0 || k > n) return 0;
return fact[n] * ifact[k] * ifact[n-k];
}
Modular Catalan(int n){
if (n % 2 != 0) return 0;
return C(n, n / 2) - C(n, n / 2 + 1);
}
// End of the template, let's drink a cup of water before reading:D
// Template use for ONLINE JUDGE
void solve(){
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0);
int t = 1;
//cin >> t;
while(t--) solve();
cerr << "Time elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s.\n";
return 0;
}