#include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return 1;} else {cout << "No" << endl; return 0;}} #define dame { cout << "No" << endl; return 0;} #define dame1 { cout << -1 << endl; return 0;} #define test(x) cout << "test" << x << endl; #define deb(x,y) cout << x << " " << y << endl; #define deb3(x,y,z) cout << x << " " << y << " " << z << endl; #define deb4(x,y,z,x2) cout << x << " " << y << " " << z << " " << x2 << endl; #define out cout << ans << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define show(x) cerr<<#x<<" = "<; using pil = pair; using pli = pair; using pii = pair; using tp = tuple; using vi = vector; using vl = vector; using vs = vector; using vb = vector; using vpii = vector; using vpli = vector; using vpll = vector; using vpil = vector; using vvi = vector>; using vvl = vector>; using vvs = vector>; using vvb = vector>; using vvpii = vector>; using vvpli = vector>; using vvpll = vector; using vvpil = vector; using mint = modint1000000007; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} const double eps = 1e-10; const ll LINF = 1001002003004005006ll; const int INF = 1001001001; vvm f (vvm a, vvm b){ vvm ret(4,vm(4)); rep(i,4) rep(j,4) rep(k,4) ret[i][j] += a[i][k] * b[k][j]; return ret; } int main(){ ll n; cin>>n; vm v(5); // vm v(n+1); v[1] = 1; v[2] = 1; v[3] = 3; v[4] = 2; repx(i,5,n+1){ v[i] = v[i-2] + v[i-4]; if (i%2 == 1) v[i] += v[i-1]; } // rep(i,n+1){ // show(i); // cout << v[i].val() << endl; // } if (n <= 4){ cout << v[n].val() << endl; return 0; } vvm a(4,vm(4)); vvm b(4,vm(4)); vvm c(4,vm(4)); a[0][0] = 1; a[0][1] = 1; a[0][3] = 1; a[1][0] = 1; a[2][1] = 1; a[3][2] = 1; b[0][1] = 1; b[0][3] = 1; b[1][0] = 1; b[2][1] = 1; b[3][2] = 1; c = f(b,a); // rep(i,4){ // rep(j,4) cout << c[i][j].val() << " "; // cout << endl; // } const int logmax = 64; vector db(logmax , vvm(4 , vm(4))); db[0] = c; rep1(i,logmax) db[i] = f(db[i-1] , db[i-1]); ll m = (n-4) / 2; vvm now(4,vm(4)); rep(i,4) now[i][i] = 1; rep(i,logmax) if ((m >> i & 1) == 1) now = f(now , db[i]); if ((n-4)%2 == 1) now = f(a , now); // rep(i,4){ // rep(j,4) cout << now[i][j].val() << " "; // cout << endl; // } mint ans = 0; rep(i,4) ans += v[4-i] * now[0][i]; cout << ans.val() << endl; return 0; }