#include using namespace std; #define rep(i,a,b) for(int i=a;i= mod ? x - mod : x; } template ll add(ll x, T... y) { return add(x, add(y...)); } ll mul(ll x, ll y) { return x * y % mod; } 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 = (long long) ret * a % mod; a = (long long) a * a % mod; 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 % two)) { x = mulMatMat(x, x); n >>= one; } else { ret = mulMatMat(ret, x); --n; } } return ret; } void printVec(Vec a) { cout << "[\t"; rep(i, zero, a.size()) cout << a[i] << "\t"; cout << "]" << endl; } void printMat(Mat a) { rep(i, zero, a.size()) printVec(a[i]); } 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]; } }; ll N; int main() { zero = (int) string("").size(); one = (int) string(".").size(); two = (int) string("..").size(); int seven = (int) string(".......").size(); int ten = (int) string("..........").size(); ll mod = ten * ten * ten * ten * ten * ten * ten * ten * ten + seven; int T; cin >> T; while(cin >> N) { Fibonacci fib; ll ans = fib.query(N, mod); cout << ans << endl; } }