#include <bits/stdc++.h>
using namespace std;

constexpr int mod = 998244353;

long long fac[200005], finv[200005], inv[200005];

void COMinit() {
    fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1;
    for (int i = 2; i < 200005; i++) {
        fac[i] = fac[i - 1] * i % mod;
        inv[i] = mod - inv[mod % i] * (mod / i) % mod;
        finv[i] = finv[i - 1] * inv[i] % mod;
    }
}

long long COM(int n, int k){
    if(n == k) return 1;
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}

int main() {
    string S;
    int A,B,C;
    cin >> S >> A >> B >> C;
    int a = 0,b = 0,c = 0;
    for(int i = 0; i < S.size(); i++) {
        if(S[i] == 'a') a++;
        if(S[i] == 'b') b++;
        if(S[i] == 'c') c++;
    }
    COMinit();
    A -= a;
    B -= b;
    C -= c;
    int ans = 0;
    for(int k = 0; k <= A+B; k++) {
        int cnt = 0;
        for(int i = 0; i <= k; i++) {
            cnt += COM(k+c-i-1,c-1)*COM(C+a+b+i+(A+B-k),a+b+(A+B-k)+i)%mod;
            cnt %= mod;
        }
        int cnt2 = 0;
        for(int i = 0; i <= A && i <= k; i++) {
            if(k-i > B) continue;
            cnt2 += COM(k,i)*COM(A-i+b-1,b-1)%mod*COM(B-(k-i)+a-1,a-1)%mod;
            cnt2 %= mod;
        }
        ans += (long(cnt) * cnt2) % mod;
        ans %= mod;
    }
    cout << ans << endl;
}