S, T = input().split()

MOD = 998244353
dp = [0]*(len(T)+1)
dp[0] = 1
for i in range(len(S)):
    ndp = [0]*(len(T)+1)
    for j in range(len(T)+1):
        ndp[j] += dp[j]
        ndp[j] %= MOD
        if j < len(T) and S[i] == T[j]:
            ndp[j+1] += dp[j]
            ndp[j+1] %= MOD
    dp = ndp[:]

ans = dp[-1]
for _ in range(len(S)-len(T)):
    ans *= 2
    ans %= MOD

print(ans)