/* Problem URL: https://codeforces.com/gym/105216/problem/D */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } ll mod = 1e9 + 7; int dest = 7200; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); vvl dp(801, vl(7201 * 2)); dp[0][dest] = 1; for (int i = 0; i <= 14400; i++) { for (int j = 1; j <= 8; j++) { if (i - j >= 0) { dp[1][i] += dp[0][i - j] * (9 - j); } if (i + j <= 14400) { dp[1][i] += dp[0][i + j] * (9 - j); } dp[1][i] %= mod; } } for (int i = 2; i <= 800; i++) { for (int j = 0; j <= 14400; j++) { for (int k = 1; k <= 9; k++) { if (j - k >= 0) { dp[i][j] += dp[i - 1][j - k] * (10 - k); } if (j + k <= 14400) { dp[i][j] += dp[i - 1][j + k] * (10 - k); } dp[i][j] %= mod; } } } int q; cin >> q; while (q--) { int n; cin >> n; cout << dp[n][dest] << '\n'; } }