import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] sa = br.readLine().split(" ");
		char[] s = sa[0].toCharArray();
		char[] t = sa[1].toCharArray();
		br.close();

		int a = s.length;
		int b = t.length;
		int mod = 998244353;
		long[] dp = new long[b + 1];
		dp[0] = 1;
		for (int i = 0; i < a; i++) {
			long[] wk = Arrays.copyOf(dp, b + 1);
			for (int j = 0; j < b; j++) {
				if (s[i] == t[j]) {
					wk[j + 1] += dp[j];
				}
			}
			for (int j = 0; j <= b; j++) {
				wk[j] %= mod;
			}
			dp = wk;
//			System.out.println(Arrays.toString(wk));
		}

		long p = power(2, a - b, mod);
		long ans = dp[b] * p % mod;
		System.out.println(ans);
	}

	static long power(long x, long n, int m) {
		if (n == 0) {
			return 1;
		}
		long val = power(x, n / 2, m);
		val = val * val % m;
		if (n % 2 == 1) {
			x %= m;
			val = val * x % m;
		}
		return val;
	}
}