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BracketSequences1.cpp
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52 lines (44 loc) · 980 Bytes
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//Bracket Sequences I - https://cses.fi/problemset/task/2064
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 7;
const ll INF = 1e18;
ll expo(ll a, ll b, ll mod) {
ll res = 1;
while (b > 0) {
if (b & 1) res = (res * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return res;
}
ll inverse(ll a, ll mod) {
return expo(a, mod - 2, mod);
}
void solve() {
int n;
cin >> n;
if (n & 1) {
cout << 0 << endl;
return;
}
n /= 2;
vector<ll> fact(2*n + 1, 1);
vector<ll> invfact(2*n + 1, 1);
for (int i = 2; i <= 2*n; i++) {
fact[i] = (fact[i - 1] * i) % MOD;
invfact[i] = inverse(fact[i], MOD);
}
cout << (((fact[2*n] * invfact[n]) % MOD) * invfact[n + 1]) % MOD << endl;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
// cin >> T;
while (T--) {
solve();
}
return 0;
}