import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################

mod = 998244353
s, t = input().split()

n, m = len(s), len(t)
dp = [0] * (m + 1)
dp[0] = 1

for i in range(n):
    ndp = [0] * (m + 1)
    for j in range(m + 1):
        if j < m and s[i] == t[j]:
            ndp[j + 1] += dp[j]
            ndp[j + 1] %= mod
        ndp[j] += dp[j]
        ndp[j] %= mod

    dp = ndp

print(dp[-1] * pow(2, n - m , mod) % mod)