#include #include #include #include #include #include #include #include #define rep(i, n) for (int i = 0; i < (n); i++) #define rrep(i, n) for (int i = (n)-1; i >= 0; i--) using namespace std; typedef long long int lli; lli MOD = 1000000007; struct Matrix { vector a; lli n; lli mod = 1000; Matrix(lli n) : n(n) { a.assign(n * n, 0); }; Matrix operator*(const Matrix r) const { Matrix v(n); rep(i, n) rep(j, n) rep(k, n) { v.a[i * n + j] += a[i * n + k] * r.a[k * n + j]; v.a[i * n + j] %= mod; } return v; } Matrix operator+(const Matrix r) const { Matrix v(n); rep(i, n) rep(j, n) { v.a[i * n + j] = (a[i * n + j] + r.a[i * n + j]) % mod; } return v; } void set(int b, int d, int c) { a[b * n + d] = c; } void operator*=(const Matrix r) { Matrix v(n); rep(i, n) rep(j, n) rep(k, n) { v.a[i * n + j] += a[i * n + k] * r.a[k * n + j]; v.a[i * n + j] %= mod; } *this = v; } void show() { rep(i, n) rep(j, n) { cout << a[i * n + j] << ' '; if (j == n - 1) cout << endl; } } }; Matrix idn(lli n) { Matrix a(n); rep(i, n) { a.a[i * n + i] = 1; } return a; } Matrix pow_mat(Matrix a, lli n) { Matrix an = idn(a.n); while (n > 0) { if (n & 1) an *= a; a *= a; n /= 2; } return an; } int main() { Matrix g(2); g.set(0, 0, 2); g.set(0, 1, 2); g.set(1, 0, 1); lli n; cin >> n; g = pow_mat(g, n - 1); if (n == 1) { cout << 2 << endl; } else if (n == 2) { cout << 7 << endl; } else if (n == 3) { cout << 20 << endl; } else if (n == 4) { cout << 55 << endl; } else { int a; if (n & 1) a = 0; else a = 1; cout << (g.a[0] * 2 + g.a[1] * 2 - a + 1000) % 1000 << endl; } }