#include #define rep(i,n) for(int i=0;i<(int)(n);i++) using namespace std; using ll = long long ; using P = pair ; using pll = pair; constexpr int INF = 1e9; constexpr long long LINF = 1e17; constexpr int MOD = 1000000007; constexpr double PI = 3.14159265358979323846; using vec = vector ; using mat = vector; mat mul(mat &A, mat &B,int mod) { mat C(A.size(),vec(B[0].size())); for(int i=0;i 0){ if(n & 1) B = mul(B,A,mod); A = mul(A,A,mod); n >>= 1; } return B; } /*最大2の30乗までの数なら計算できる.繰り返し二乗法*/ long long modpow(long long x, long long n) { long long ret = 1; while (n > 0) { if (n & 1) ret = (ret * x) % MOD; x = (x * x) % MOD; n >>= 1; } return ret; } /*繰り返し二乗法でxのmod逆元を取る*/ long long inverse(long long x){ return modpow(x,MOD-2); } int main(){ ll n; cin >> n; vector> A(6,vector(6,0)); for(int i=1;i<6;i++){ A[i][i-1] = 1; } ll inv = inverse(6); rep(i,6) A[0][i] = inv; /* rep(i,6){ rep(j,6) cout << A[i][j] <<" " ; cout << endl; } */ vector ve(6,0); ve[5] = 1; for(int i=4;i>=0;i--){ rep(j,6){ if(i+j<6){ ve[i] += (inv * ve[i+j])%MOD; ve[i] %= MOD; } } } /* rep(i,6) cout << ve[i] << " "; cout << endl; */ if(n<=5){ cout << ve[5-n] << endl; return 0; } mat B = matpow(A,n-5,MOD); /* rep(i,6){ rep(j,6) cout << B[i][j] <<" " ; cout << endl; } */ ll ans = 0; rep(i,6){ ans += (ve[i] * B[0][i])%MOD; ans %= MOD; } cout << ans << endl; return 0; }