MOD = 998244353 inv_2 = pow(2, -1, MOD) def is_good(n): digits = [int(d) for d in str(n)] return any(digits[i] > digits[i + 1] + digits[i + 2] for i in range(len(digits) - 2)) dist = [0] * 10000 max_good = 10000 for i in range(9999, -1, -1): if is_good(i): max_good = i dist[i] = max_good - i def count_bad_numbers(X): digits = [int(x) for x in str(X)] dp = [[0] * 100 for _ in range(2)] dp[1][0] = 1 for x in digits: ndp = [[0] * 100 for _ in range(2)] for tight in range(2): lim = x if tight else 9 for prev in range(100): cur = dp[tight][prev] if cur == 0: continue a = prev // 10 b = prev % 10 for v in range(lim + 1): if a > b + v: continue ntight = tight and (v == lim) to = (10 * prev + v) % 100 ndp[ntight][to] += cur ndp[ntight][to] %= MOD dp = ndp return [(dp[0][val] + dp[1][val]) % MOD for val in range(100)] def solve(): N = int(input()) div = N // 100 count = count_bad_numbers(div) ans = 0 for suf in range(100): for pref in range(100): val = 100 * pref + suf ans += count[pref] * dist[val] ans %= MOD ans -= dist[0] ans += (N % MOD) * ((N + 1) % MOD) % MOD * inv_2 % MOD max_good = 100 * (div + 1) for i in range(100 * (div + 1) - 1, N, -1): if is_good(i): max_good = i ans -= max_good - i ans %= MOD print(ans) if __name__ == "__main__": T = int(input()) for _ in range(T): solve()