#include <bits/stdc++.h>
#define all(vec) vec.begin(), vec.end()
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
template <class T>
using V = vector<T>;
template <class T>
inline void chmin(T &a, const T &b) { a = min(a, b); }
template <class T>
inline void chmax(T &a, const T &b) { a = max(a, b); }
template <class T>
inline bool kbit(const T &x, const int &k) { return ((x >> k) & 1LL); }
inline int popcount(const int &n) { return __builtin_popcount(n); }
inline ll popcountll(const ll &n) { return __builtin_popcountll(n); }
inline ll mask(const ll &k) { return (1LL << k) - 1LL; }
template <class T>
void zip(V<T> &v) {
    sort(all(v));
    v.erase(unique(all(v)), v.end());
}
template <class T>
int lwb(V<T> &v, const T &x) { return lower_bound(all(v), x) - v.begin(); }
void dump() {
    cerr << '\n';
}
template <class Head, class... Tail>
void dump(Head &&head, Tail &&... tail) {
    cerr << head << (sizeof...(Tail) == 0 ? " " : ", ");
    dump(std::move(tail)...);
}
template <class T>
void print(const vector<T> &v) {
    for (int i = 0; i < v.size(); i++) cout << v[i] << (i + 1 == v.size() ? '\n' : ' ');
}
template <class T>
void read(vector<T> &v) {
    for (int i = 0; i < v.size(); i++) cin >> v[i];
}
constexpr char sp = ' ', newl = '\n';
constexpr int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0};
constexpr ll INF = (1LL << 30) - 1LL;
constexpr ll MOD = 998244353LL;
//////////////////////////////////////////////INSERT ABOVE HERE
//from http://noshi91.hatenablog.com/entry/2019/03/31/174006
template <std::uint_fast64_t Modulus>
class modint {
    using u64 = std::uint_fast64_t;

  public:
    u64 a;
    constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
    constexpr u64 &value() noexcept { return a; }
    constexpr const u64 &value() const noexcept { return a; }
    constexpr modint operator+(const modint rhs) const noexcept {
        return modint(*this) += rhs;
    }
    constexpr modint operator-(const modint rhs) const noexcept {
        return modint(*this) -= rhs;
    }
    constexpr modint operator*(const modint rhs) const noexcept {
        return modint(*this) *= rhs;
    }
    constexpr modint operator/(const modint rhs) const noexcept {
        return modint(*this) /= rhs;
    }
    constexpr modint operator^(const u64 rhs) const noexcept {
        return modint(*this) ^= rhs;
    }
    constexpr modint &operator+=(const modint rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr modint &operator-=(const modint rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr modint &operator*=(const modint rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr modint &operator/=(modint rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    constexpr modint &operator^=(u64 exp) {
        modint rhs = modint(*this);
        a = 1;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    friend ostream &operator<<(ostream &os, const modint &x) {
        os << x.a;
        return os;
    }
    friend istream &operator>>(istream &is, modint &x) {
        is >> x.a;
        return is;
    }
};
using mint = modint<MOD>;
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    string s;
    cin >> s;
    int K;
    cin >> K;
    int n = s.length();
    V<int> a(n + 1);
    int co = 0;
    for (int i = 0; i < n; i++) {
        if (s[i] == '0') {
            co++;
        } else {
            a[co]++;
        }
    }
    V<V<V<mint>>> dp(n + 1, V<V<mint>>(n + 1, V<mint>(n + 1)));
    dp[n][0][0] = 1;
    for (int i = n - 1; i >= 0; i--) {
        for (int j = 0; j <= n; j++) {
            for (int k = 0; k <= n; k++) {
                for (int l = 1; l <= a[i]; l++) {
                    if (j + l > n || k + l > n) break;
                    dp[i][j + l][k + l] += dp[i + 1][j][k];
                }
            }
            //    cout << i << " " << j << " ";
            // print(dp[i][j]);
        }
        for (int k = 0; k <= n; k++) {
            mint sum = 0;
            for (int j = n; j >= 0; j--) {
                sum += dp[i + 1][j][k];
                dp[i][j][k] += sum;
            }
        }
    }
    mint res = 0;
    for (int i = 0; i <= min(n, K); i++) {
        res += dp[0][0][i];
    }
    cout << res << newl;
}

Measured memory_bytes: 219932