#include<bits/stdc++.h>
#define rep(i,a,...) for(int i = (a)*(strlen(#__VA_ARGS__)!=0);i<(int)(strlen(#__VA_ARGS__)?__VA_ARGS__:(a));++i)
#define per(i,a,...) for(int i = (strlen(#__VA_ARGS__)?__VA_ARGS__:(a))-1;i>=(int)(strlen(#__VA_ARGS__)?(a):0);--i)
#define foreach(i, n) for(auto &i:(n))
#define pii pair<int, int>
#define pll pair<long long, long long>
#define all(x) (x).begin(), (x).end()
#define bit(x) (1ll << (x))
#define method(name,res,...) function<res (__VA_ARGS__) > name = [&](__VA_ARGS__) -> res
using ll = long long;
//const ll MOD = (ll)1e9+7;
const ll MOD = 998244353;
const int INF = (ll)1e9+7;
const ll INFLL = (ll)1e18;
using namespace std;
template<class t>
using vvector = vector<vector<t>>;
template<class t>
using vvvector = vector<vector<vector<t>>>;
template<class t>
using priority_queuer = priority_queue<t, vector<t>, greater<t>>;
template<class t, class u> bool chmax(t &a, u b){if(a<b){a=b;return true;}return false;}
template<class t, class u> bool chmin(t &a, u b){if(a>b){a=b;return true;}return false;}
#ifdef DEBUG
#define debug(x) cout<<"LINE "<<__LINE__<<": "<<#x<<" = "<<x<<endl;
#else
#define debug(x) (void)0
#endif

namespace templates{
  ll modpow(ll x, ll b){
    ll res = 1;
    while(b){
      if(b&1)res = res * x % MOD;
      x = x * x % MOD;
      b>>=1;
    }
    return res;
  }

  ll modinv(ll x){
    return modpow(x, MOD-2);
  }

  bool was_output = false;
  template<class t>
  void output(t a){
    if(was_output)cout << " ";
    cout << a;
    was_output = true;
  }
  void outendl(){
    was_output = false;
    cout << endl;
  }
  ll in(){
    ll res;
    scanf("%lld", &res);
    return res;
  }

  template<class t>
  istream& operator>>(istream&is, vector<t>&x){
    for(auto &i:x)is >> i;
    return is;
  }

  template<class t, class u>
  istream& operator>>(istream&is, pair<t, u>&x){
    is >> x.first >> x.second;
    return is;
  }

  template<class t>
  void in(t&x){
    cin >> x;
  }

  template<class t>
  t in(){
    t res; cin >> res; return res;
  }

  template<class t>
  void out(t x){
    cout << x;
  }

  template<class t>
  vector<t> sorted(vector<t> line,function<bool(t,t)> comp=[](t a,t b){return a<b;}){
    sort(line.begin(),line.end(),comp);
    return line;
  }

  template<class t>
  vector<t> reversed(vector<t> line){
    reverse(line.begin(),line.end());
    return line;
  }
}

using namespace templates;


template<long long mod>
class modint{
	public:
		long long x;
		modint(long long a){x=a%mod;if(x<0)x+=mod;}
		modint(){x=0;}

		modint pow(long long a){
			modint res(1), b(x);
			while(a){
				if(a&1)res*=b;
				b*=b;
				a>>=1;
			}
			return res;
		}

		modint inv(){return pow(mod-2);}

		modint& operator+=(modint a){x=(x+a.x)%mod;return *this;}
		modint& operator-=(modint a){x=x-a.x;if(x<0)x+=mod;return *this;}
		modint& operator*=(modint a){x=x*a.x%mod;return *this;}
		modint& operator/=(modint a){x=x*a.inv().x%mod;return *this;}

		modint operator+(modint a){return modint(x)+=a;}
		modint operator-(modint a){return modint(x)-=a;}
		modint operator*(modint a){return modint(x)*=a;}
		modint operator/(modint a){return modint(x)/=a;}

		modint operator-(){return modint(x);}

		bool operator==(const modint a){return x == a.x;}
		bool operator<(const modint a){return x < a.x;}
		bool operator>(const modint a){return x > a.x;}
};

template<long long mod>
ostream& operator<<(ostream& os, const modint<mod>& a){
	os << a.x;
	return os;
}

using mint = modint<MOD>;

mint func(){
  vector<int> line;
  int val = 0;
  {
    string str = in<string>();
    int cnt = 0;
    foreach(i,str){
      if(i=='0'){
        if(cnt){
          val += cnt;
          line.emplace_back(cnt);
          cnt = 0;
        }
        line.emplace_back(0);
      }else{
        ++cnt;
      }
    }
    if(cnt){
      val += cnt;
      line.emplace_back(cnt);
    }
  }
  int n = line.size();
  int k = in();
  val;


  method(func,mint,int place,int need,int applyed){
    if(place>=n){
      if(need==applyed){
        return 1;
      }
      return 0;
    }
    static vvvector<mint> dp(n,vvector<mint>(val+1,vector<mint>(val+1)));
    static vvvector<bool> used(n, vvector<bool>(val+1, vector<bool>(val+1,false)));
    mint &it = dp[place][need][applyed];
    if(used[place][need][applyed])return it;
    used[place][need][applyed] = true;
    it = 0;
    if(line[place]){
      if(place+1<n){
        rep(i,need+1,min(k,val)+1){
          it += func(place+2,i,applyed);
        }
      }
      rep(i,min(need-applyed,line[place])+1){
        it += func(place+2,need,applyed+i);
      }
    }else{
      if(need<min(k,val)){
        it += func(place,need+1,applyed);
      }
      it += func(place+1,need,applyed);
    }
    return it;
  };

  return func(0,0,0);
}

int main(){
  cout << func() << endl;
  return 0;
}


Measured memory_bytes: 61316