#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);

ll mod_pow(ll x, ll n) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x%mod;
		x = x * x%mod; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n%mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint &a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint &a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint &a, modint b) { a.n = ((ll)a.n*b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, int n) {
	if (n == 0)return modint(1);
	modint res = (a*a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p%a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}

modint dp[301][301][305];
int nextzero[301];
void solve() {
	string s; int k; cin >> s >> k;
	int las = s.size();
	per(i, (int)s.size()) {
		nextzero[i] = las;
		if (s[i] == '0')las = i;
	}
	dp[0][0][0] = 1;
	rep(i, s.size()) {
		Rep(j,i, s.size()) {
			rep(t, s.size() + 1) {
				//put 0
				if (s[i] == '0') {
					dp[i + 1][j + 1][t] += dp[i][j][t];
				}
				else {
					int to = nextzero[i];
					if (to <= j) {
						dp[to+1][j+1][t] += dp[i][j][t];
					}
				}
				//put 1
				if (s[i] == '0') {
					dp[i][j + 1][t+1] += dp[i][j][t];
				}
				else {
					dp[i + 1][j + 1][t] += dp[i][j][t];
				}
				//cout << "! "<<i << " " << j << " " << t << " " << dp[i][j][t] << "\n";
			}
		}
	}
	modint ans = 0;
	rep(i, s.size() + 1) {
		bool valid = true;
		Rep(j, i, s.size())if (s[j] == '0')valid = false;
		if (valid) {
			rep(t, s.size() + 1) {
				if (t > k)continue;
				ans += dp[i][s.size()][t];
				//cout << i << " " << t << " " << dp[i][s.size()][t] << "\n";
			}
		}
	}
	cout << ans << "\n";
}


signed main() {
	//ios::sync_with_stdio(false);
	//cin.tie(0);
	//cout << fixed << setprecision(10);
	//int t; cin >> t; rep(i, t)
		solve();
	stop
		return 0;
}


Measured memory_bytes: 235904