#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long int ll; typedef unsigned int uint; typedef unsigned char uchar; typedef unsigned long long ull; typedef pair pii; typedef pair pll; typedef vector vi; #define REP(i,x) for(int i=0;i<(int)(x);i++) #define REPS(i,x) for(int i=1;i<=(int)(x);i++) #define RREP(i,x) for(int i=((int)(x)-1);i>=0;i--) #define RREPS(i,x) for(int i=((int)(x));i>0;i--) #define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();i++) #define RFOR(i,c) for(__typeof((c).rbegin())i=(c).rbegin();i!=(c).rend();i++) #define ALL(container) (container).begin(), (container).end() #define RALL(container) (container).rbegin(), (container).rend() #define SZ(container) ((int)container.size()) #define mp(a,b) make_pair(a, b) #define pb push_back #define eb emplace_back #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } template ostream& operator<<(ostream &os, const vector &t) { os<<"["; FOR(it,t) {if(it!=t.begin()) os<<","; os<<*it;} os<<"]"; return os; } template ostream& operator<<(ostream &os, const set &t) { os<<"{"; FOR(it,t) {if(it!=t.begin()) os<<","; os<<*it;} os<<"}"; return os; } template ostream& operator<<(ostream &os, const pair &t) { return os<<"("< pair operator+(const pair &s, const pair &t){ return pair(s.first+t.first, s.second+t.second);} template pair operator-(const pair &s, const pair &t){ return pair(s.first-t.first, s.second-t.second);} const int INF = 1<<28; const double EPS = 1e-8; const int MOD = 1000000007; typedef vector Array; typedef vector Matrix; ostream& operator<<(ostream &os, const Array &t) { os<<"["; FOR(it,t) {if(it!=t.begin()) os<<","; os<<*it;} os<<"]"; return os; } ostream& operator<<(ostream &os, const Matrix &t) { FOR(it,t)os<<*it<= MOD) res[i][j] %= MOD; } } } return res; } Matrix pow(const Matrix &a,ll b, const ll MOD){ if(b==0){ Matrix res(a.size(),Array(a.size())); REP(i,a.size())res[i][i]=1; // 単位元を入れる! return res; } Matrix res=pow(mul(a,a,MOD),b/2,MOD); if(b&1)res=mul(res,a,MOD); return res; } int T, n; ll a, b, c; int main(int argc, char *argv[]){ ios::sync_with_stdio(false); cin >> n; Matrix mat({ {0, 0, 1}, {1, 0, 0}, {1, 1, 0} }); Matrix arr({ {0}, {0}, {1} }); arr = mul(pow(mat, n, MOD), arr, MOD); cout << (arr[0][0] + arr[1][0] + arr[2][0]) % MOD << endl; return 0; }