#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, s, t) for (ll i = (ll)s; i < (ll)(t); i++)
#define rrep(i, s, t) for (ll i = (ll)(t) - 1; i >= (ll)(s); i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)

#define TT template <typename T>
template <class T1, class T2>
bool chmin(T1& x, T2 y) { return x > y ? (x = y, true) : false; }
template <class T1, class T2>
bool chmax(T1& x, T2 y) { return x < y ? (x = y, true) : false; }

struct io_setup {
    io_setup() {
        ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
        cout << fixed << setprecision(15);
        srand(time(NULL));
    }
} io_setup;

const ll MOD = 998;

template <class T>
struct Matrix {
    vector<vector<T>> A;
    Matrix(int n, int m) : A(n, vector<T>(m, 0)) {}
    Matrix(int n) : A(n, vector<T>(n, 0)) {}
    int height() const {
        return (A.size());
    }
    int width() const {
        return (A[0].size());
    }
    const vector<T>& operator[](int k) const {
        return (A[k]);
    }
    vector<T>& operator[](int k) {
        return (A[k]);
    }
    static Matrix I(int n) {
        Matrix mat(n);
        for (int i = 0; i < n; i++) mat[i][i] = 1;
        return mat;
    }
    Matrix& operator+=(const Matrix& B) {
        int n = height(), m = width();
        assert(n == B.height() && m == B.width());
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                (*this)[i][j] += B[i][j];
            }
        }
        return (*this);
    }
    Matrix& operator-=(const Matrix& B) {
        int n = height(), m = width();
        assert(n == B.height() && m == B.width());
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                (*this)[i][j] -= B[i][j];
            }
        }
        return (*this);
    }
    Matrix& operator*=(const Matrix& B) {
        int n = height(), m = B.width(), p = width();
        assert(p == B.height());
        vector<vector<T>> C(n, vector<T>(m, 0));
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                for (int k = 0; k < p; k++) {
                    C[i][j] += (*this)[i][k] * B[k][j];
                }
            }
        }
        A.swap(C);
        return (*this);
    }
    Matrix& operator^=(long long k) {
        int n = height();
        assert(n == width());
        Matrix B = Matrix::I(n);
        while (k > 0) {
            if (k & 1) B *= *this;
            *this *= *this;
            k >>= 1LL;
        }
        A.swap(B.A);
        return (*this);
    }
    Matrix operator+(const Matrix& B) const {
        return (Matrix(*this) += B);
    }
    Matrix operator-(const Matrix& B) const {
        return (Matrix(*this) -= B);
    }
    Matrix operator*(const Matrix& B) const {
        return (Matrix(*this) *= B);
    }
    Matrix operator^(const long long k) const {
        return (Matrix(*this) ^= k);
    }
};

#include <atcoder/modint>
using mint = atcoder::modint;

void solve() {
    ll N, M;
    cin >> N >> M;
    while (M--) {
        string K;
        cin >> K;
        Matrix<mint> mt(2);
        mt[0][0] = N, mt[0][1] = 1, mt[1][0] = 0, mt[1][1] = 1;
        Matrix<mint> I(2);
        rep(i, 0, 2) I[i][i] = 1;
        rrep(i, 0, (int)K.size()) {
            rep(t, 0, K[i] - '0') I *= mt;
            Matrix<mint> nxt(2);
            rep(t, 0, 2) nxt[t][t] = 1;
            rep(t, 0, 10) nxt *= mt;
            swap(mt, nxt);
        }
        mint ans = I[0][0] + I[0][1];
        cout << ans.val() << "\n";
    }
}

int main() {
    atcoder::modint::set_mod(998);
    int T;
    cin >> T;
    while (T--) {
        solve();
    }
}