// #define DEBUGGING
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define ALL(V) (V).begin(), (V).end()
#define ALLR(V) (V).rbegin(), (V).rend()

template <typename T> using V = vector<T>;
template <typename T> using VV = V<V<T>>;
using ll = int64_t;
using ull = uint64_t;
using PLL = pair<ll, ll>;

template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }
template <typename T> const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); }
template <typename T> void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); }

namespace init__ {

struct InitIO {
    InitIO() {
        cin.tie(nullptr);
        ios_base::sync_with_stdio(false);
        cout << fixed << setprecision(30);
    }
} init_io;

}

#ifdef DEBUGGING
// #include "../debug/debug.cpp"
#include "../../debug/debug.cpp"
#else
#define DEBUG(...) 0
#define DEBUG_SEPARATOR_LINE 0
#endif

template <typename T>
T make_v(T init) { return init; }

template <typename T, typename... Tail>
auto make_v(T init, size_t s, Tail... tail) {
#define rec make_v(init, tail...)
    return V<decltype(rec)>(s, rec);
#undef rec
}

const ll mod = 1e9 + 7;

template <ll MOD>
class Combination {
private:
    ll N;
    V<ll> factv, ifactv;

public:
    Combination<MOD>(ll N) : N(N), factv(N + 1, 1), ifactv(N + 1) {
        for(ll i = 1; i <= N; i++) factv[i] = factv[i - 1] * i % MOD;
        ifactv.back() = inv(factv.back());
        for(ll i = N - 1; 0 <= i; i--) ifactv[i] = (i + 1) * ifactv[i + 1] % MOD;
    }

    ll fact(ll n) { return factv[n]; }

    ll ifact(ll n) { return ifactv[n]; }

    ll pow(ll a, ll b) { return b ? (b & 1 ? a : 1) * pow(a * a % MOD, b / 2) % MOD : 1; }

    ll inv(ll a) { return pow(a, MOD - 2); }

    ll comb(ll n, ll k) { return factv[n] * ifactv[n - k] % MOD * ifactv[k] % MOD; }
};

Combination<mod> C(1e6 + 10);

int main() {
    ll N;
    cin >> N;
    ll dstnct = (N - 2) % mod * ((N - 3) % mod) % mod * C.ifact(2) % mod;
    ll same3 = (N - 1) % 3 == 0;
    ll same2 = (N - 2) / 2 % mod;
    (same2 += mod - same3) %= mod;
    DEBUG(make_tuple(dstnct, same2, same3));
    dstnct = (dstnct + 2 * mod - 3 * same2 % mod - same3) % mod;
    DEBUG(dstnct);
    (dstnct *= C.ifact(3)) %= mod;
    cout << (dstnct + same2 + same3) % mod << endl;
    return 0;
}