#include using namespace std; typedef long long ll; typedef pair P; #define DUMP(x) cout << #x << " = " << (x) << endl; #define FOR(i, m, n) for (ll i = m; i < n; i++) #define IFOR(i, m, n) for (ll i = n - 1; i >= m; i--) #define REP(i, n) FOR(i, 0, n) #define IREP(i, n) IFOR(i, 0, n) #define FOREACH(x, a) for (auto&(x) : (a)) #define ALL(v) (v).begin(), (v).end() #define SZ(x) ll(x.size()) /* 二項係数 C(n,k) mod p を計算 */ const int MOD = 1000000007; const int MAX = 201000; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { ll n; cin >> n; COMinit(); ll a = ((n - 4) % 3 == 0); // 3つ同じ ll b = a ? (n - 4) / 2 * 3 % MOD : (1 + (n - 4) / 2) * 3 % MOD; // 2つ同じ ll c = (n - 2) % MOD * (n - 3) % MOD * inv[2] % MOD; //全体 // DUMP(a); // DUMP(b); // DUMP(c); ll ans = (c - b - a + 2 * MOD) % MOD * finv[3] % MOD + (b) % MOD * inv[3] % MOD + a % MOD; cout << ans << endl; }