#include #define REP(i,n) for(int i=0;i<(int)(n);i++) #define ALL(x) (x).begin(),(x).end() using namespace std; const int mod = 1000; struct Mod { int n; Mod () : n(0) {;} Mod (int n) : n(n) { if (n >= mod) n %= mod; else if (n < mod) n = (n % mod + mod) % mod; } operator int() { return n; } }; Mod operator+=(Mod &a, Mod b) { a.n += b.n; if (a.n >= mod) a.n -= mod; return a; } Mod operator-=(Mod &a, Mod b) { a.n -= b.n; if (a.n < 0) a.n += mod; return a; } Mod operator*=(Mod &a, Mod b) { a.n = ((long long)a.n * b.n) % mod; return a; } Mod operator+(Mod a, Mod b) { return a += b; } Mod operator-(Mod a, Mod b) { return a -= b; } Mod operator*(Mod a, Mod b) { return a *= b; } typedef Mod Data; typedef vector Array; typedef vector Matrix; Matrix operator*(const Matrix &lhs, const Matrix &rhs) { Matrix res(lhs.size(), Array(rhs[0].size(), 0)); REP(i,lhs.size()) REP(j,rhs[0].size()) REP(k,rhs.size()) res[i][j] += lhs[i][k] * rhs[k][j]; return res; } Matrix scalar(int size, Data k) { Matrix mat(size, Array(size, 0)); REP(i,size) mat[i][i] = k; return mat; } Matrix operator^(const Matrix &lhs, const int n) { if (n == 0) return scalar(lhs.size(), 1); Matrix res = (lhs * lhs) ^ (n / 2); if (n % 2) res = res * lhs; return res; } int main() { int n; cin >> n; Matrix mat = {{1, 3}, {1, 1}}; mat = mat ^ n; Mod res = mat[0][0]; cout << res * Mod(2) - Mod(1 - n % 2) << endl; return 0; }