#include <cstring> #include <iostream> using std::cin; using std::cout; const char endl = '\n'; const int N = 10; const int mod = 1e9 + 7; class Matrix { private: int data[N][N]; public: Matrix() { memset(data, 0x00, sizeof(data)); } int* operator[](int i) { return data[i]; } void build() { int n = 3; for (int i = 1; i <= n; i++) { data[i][i] = 1; } } Matrix operator*(Matrix b) const { Matrix c; int n = 3; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { for (int k = 1; k <= n; k++) { c[i][j] = (c[i][j] + 1ll * data[i][k] * b[k][j] % mod) % mod; } } } return c; } }; Matrix binpow(Matrix a, int k) { Matrix res; res.build(); while (k) { if (k & 1) res = res * a; a = a * a; k >>= 1; } return res; } int t, n; int main() { std::ios::sync_with_stdio(false); cin >> t; Matrix base, pow; base[1][1] = 1; base[2][1] = 1; base[3][1] = 1; pow[1][1] = 1, pow[1][2] = 0, pow[1][3] = 1; pow[2][1] = 1, pow[2][2] = 0, pow[2][3] = 0; pow[3][1] = 0, pow[3][2] = 1, pow[3][3] = 0; while (t--) { cin >> n; cout << (base * binpow(pow, n - 1))[1][1] << endl; } return 0; }