#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i, n) for(int i=0;i<(n);++i)
#define rep1(i, n) for(int i=1;i<=(n);i++)
#define ll long long
using mint = modint998244353;
using P = pair<ll,ll>;
using lb = long double;
using T = tuple<ll, ll, ll>;
#ifdef LOCAL
#  include <debug_print.hpp>
#  define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define dbg(...) (static_cast<void>(0))
#endif

int main()
{
    string s, t;
    cin >> s >> t;
    int n = s.size();
    int m = t.size();
    vector<mint> dp(m+1);
    dp[0] = 1;
    rep(i,n) {
        vector<mint> p(m+1);
        swap(dp, p);
        for(int j=0;j<=m;j++) {
            if(j<m && s[i]==t[j]) {
                dp[j+1] += p[j];
            }
            dp[j] += p[j];
        }
    }
    mint ans = dp[m] * mint(2).pow(n-m);
    cout << ans.val() << endl; 
    return 0;
}