#include #include #include using namespace std; #define rep(i,a,b) for(int i=a;i>= one; cur <<= one; } return ans; } struct Fibonacci { long long modf_(long long a){ lldiv_t ans = lldiv(a, mod); return ans.rem; } ll mod; ll add(ll x, ll y) { return (x += y) >= mod ? x - mod : x; } template ll add(ll x, T... y) { return add(x, add(y...)); } ll mul(ll x, ll y) { return modf_(mult(x, y)); } template int mul(int x, T... y) { return mul(x, mul(y...)); } int sub(int x, int y) { return add(x, mod - y); } int modpow(int a, long long b) { int ret = one; while (b > zero) { if (b & one) ret = modf_(mult(ret, a)); a = modf_(mult(a, a)); b >>= one; } return ret; } int modinv(int a) { return modpow(a, mod - two); } typedef vector Vec; typedef vector Mat; Vec mulMatVec(Mat a, Vec b) { int n = b.size(); Vec ret(n, zero); rep(i, zero, n) rep(j, zero, n) ret[i] = add(ret[i], mul(a[i][j], b[j])); return ret; } Mat mulMatMat(Mat a, Mat b) { int n = a.size(); Mat ret(n, Vec(n, zero)); rep(i, zero, n) rep(j, zero, n) rep(k, zero, n) ret[i][j] = add(ret[i][j], mul(a[i][k], b[k][j])); return ret; } Mat fastpow(Mat x, ll n) { Mat ret(x.size(), Vec(x.size(), zero)); rep(i, zero, x.size()) ret[i][i] = one; while (zero < n) { if (!(n & one)) { x = mulMatMat(x, x); n >>= one; } else { ret = mulMatMat(ret, x); --n; } } return ret; } ll query(ll N, ll _mod) { mod = _mod; Mat m = Mat(two, Vec(two, zero)); m[zero][zero] = one; m[zero][one] = one; m[one][zero] = one; Vec v = Vec(two, zero); v[zero] = one; v[one] = two; m = fastpow(m, N); v = mulMatVec(m, v); return v[one]; } }; int main() { one++; two++; two++; int seven = two + two + two + one; int ten = seven + two + one; ll mod = mult(ten,ten); mod = mult(mod, mod); mod = mult(mod, mod); mod = mult(mod, ten); mod += seven; int T; cin >> T; while(T--) { cin >> N; Fibonacci fib; ll ans = fib.query(N, mod); cout << ans << endl; } }