#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll mod = 998244353;

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);

    vector<int> dif(1000);
    for (int i = 0; i < 1000; i++) {
        int j = i;
        while (true) {
            if (j == 1000 || j / 100 > (j / 10) % 10 + j % 10) break;
            j++;
        }
        dif[i] = j - i;
    }
    int T; cin >> T;
    while (T--) {
        string N; cin >> N;
        vector<vector<vector<vector<ll>>>> dp(2, vector<vector<vector<ll>>>(10, vector<vector<ll>>(10, vector<ll>(10))));
        dp[1][0][0][0] = 1;
        for (char c: N) {
            int d = c - '0';
            vector<vector<vector<vector<ll>>>> ndp(2, vector<vector<vector<ll>>>(10, vector<vector<ll>>(10, vector<ll>(10))));
            for (int b = 0; b < 2; b++) {
                for (int s = 0; s < 10; s++) {
                    for (int t = 0; t < 10; t++) {
                        for (int u = 0; u < 10; u++) {
                            for (int v = max(0, t - u); v < 10; v++) {
                                if (b == 1 && v > d) break;
                                int nb = b;
                                if (b == 1 && v < d) nb = 0;
                                ndp[nb][t][u][v] += dp[b][s][t][u];
                                ndp[nb][t][u][v] %= mod;
                            }
                        }
                    }
                }
            }
            dp = ndp;
        }
        ll n = stoll(N);
        ll ans = (n % mod) * (n % mod + 1) / 2 % mod;
        for (int b = 0; b < 2; b++) {
            for (int s = 0; s < 10; s++) {
                for (int t = 0; t < 10; t++) {
                    for (int u = 0; u < 10; u++) {
                        // cout << b << ' ' << s * 100 + t * 10 + u << ' ' << dp[b][s][t][u] << '\n';
                        ans += dp[b][s][t][u] * dif[s * 100 + t * 10 + u] % mod;
                        ans %= mod;
                    }
                }
            }
        }
        ans -= 100;
        if (ans < 0) ans += mod;
        cout << ans << '\n';
    }
}