#include<stdio.h>
char s[100005], t[1003];
long long int dp[1003];
int main()
{
	scanf("%s%s", s, t);
	long long int n, m;
	for (n = 0; s[n] != '\0'; n++);
	for (m = 0; t[m] != '\0'; m++);
	const long long int p = 998244353;
	long long int i, j;
	for (i = 0; i <= m; i++)
		dp[i] = 0;
	dp[0] = 1;
	for (i = 0; i < n; i++)
		for (j = m - 1; j >= 0; j--)
			if (s[i] == t[j])
				dp[j + 1] = (dp[j + 1] + dp[j]) % p;
	long long int ans = dp[m];
	for (i = 0; i < n - m; i++)
		ans = ans * 2 % p;
	printf("%lld\n", ans);
	return 0;
}