//DUEL
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define x first
#define y second
#define pii pair<int,int>
#define pb push_back
#define eb emplace_back
#pragma GCC optimize("unroll-loops")
#define shandom_ruffle(a, b) shuffle(a, b, rng)
#define vi vector<int>
#define vl vector<ll>
#define popcnt __builtin_popcount
#define popcntll __builtin_popcountll
#define all(a) begin(a),end(a)

using namespace std;
using namespace __gnu_pbds;

using ll=long long;
using ull=unsigned long long;
using ld=long double;
int MOD=1000000007;
int MOD2=998244353;
vector<int> bases;
const ll LLINF=1ll<<60;
const char en='\n';

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void yes() {cout<<"YES"<<en; exit(0);}
void no() {cout<<"NO"<<en; exit(0);}
inline int rund() {int x576363482791fuweh=rng();return abs(x576363482791fuweh)%RAND_MAX;}
template<class T>
void prVec(vector<T> w,bool fl=false)
{
	cout<<w.size()<<en;
	for (int i=0;i<int(w.size())-1;++i) cout<<w[i]<<' ';
	if (w.size()) cout<<w[w.size()-1]<<en;
	if (fl) cout<<flush;
}

void M998()
{
	swap(MOD,MOD2);
}

ll raand()
{
	ll a=rund();
	a*=RAND_MAX;
	a+=rund();
    return a;
}

#define rand raand

ll raaand()
{
	return raand()*(MOD-7)+raand();
}

void compress(vi&v)
{
	set<int> s;
	for (auto a: v) s.insert(a);
	vi o(all(s));
	for (auto&a: v) a=lower_bound(all(o),a)-o.begin();
}

void compress(vl&v)
{
	set<ll> s;
	for (auto a: v) s.insert(a);
	vl o(all(s));
	for (auto&a: v) a=lower_bound(all(o),a)-o.begin();
}

string to_upper(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='a' && a[i]<='z') a[i]-='a'-'A';
	return a;
}

string to_lower(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='A' && a[i]<='Z') a[i]+='a'-'A';
	return a;
}

ll sti(string a,int base=10)
{
	ll k=0;
	for (int i=0;i<(int)a.size();++i)
	{
		k*=base;
		k+=a[i]-'0';
	}
	return k;
}

template<class T>
void eras(vector<T>& a,T b)
{
	a.erase(find(a.begin(),a.end(),b));
}

string its(ll k,int base=10)
{
	if (k==0) return "0";
	string a;
	while (k)
	{
		a.push_back((k%base)+'0');
		k/=base;
	}
	reverse(a.begin(),a.end());
	return a;
}

ll min(ll a,int b)
{
	if (a<b) return a;
	return b;
}

ll min(int a,ll b)
{
	if (a<b) return a;
	return b;
}

ll max(ll a,int b)
{
	if (a>b) return a;
	return b;
}

ll max(int a,ll b)
{
	if (a>b) return a;
	return b;
}

ll gcd(ll a,ll b)
{
	if (b==0) return a;
	return gcd(b,a%b);
}

ll lcm(ll a,ll b)
{
	return a/gcd(a,b)*b;
}

template<class T,class K>
pair<T,K> mp(T a,K b)
{
	return make_pair(a,b);
}

inline int mult(ll a,ll b)
{
	return (a*b)%MOD;
}

inline int pot(int n,int k)
{
	if (k==0) return 1;
	ll a=pot(n,k/2);
	a=mult(a,a);
	if (k%2) return mult(a,n);
	else return a;
}

int divide(int a,int b)
{
	return mult(a,pot(b,MOD-2));
}

inline int sub(int a,int b)
{
	if (a-b>=0) return a-b;
	return a-b+MOD;
}

inline int add(int a,int b)
{
	if (a+b>=MOD) return a+b-MOD;
	return a+b;
}

bool prime(ll a)
{
	if (a==1) return 0;
	for (int i=2;i<=round(sqrt(a));++i)
	{
		if (a%i==0) return 0;
	}
	return 1;
}

const int N=310;
int n,m,dp[N][N][N],ss[N][N][N],ps[N][N][N];
string s;
int dx[]={0,1,0,-1};
int dy[]={1,0,-1,0};

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	M998();
	for (int i=0;i<10;++i) bases.push_back(rand()%(MOD-13893829*2)+13893829);
	cin>>s>>m;
	n=s.size();
	m=min(m,n);
	vi v;
	if (s.back()=='1') s.pb('0');
	int cn=0;
	for (auto c: s)
	{
		if (c=='0') v.pb(cn),cn=0;
		else ++cn;
	}
	dp[v.size()][0][0]=1;
	int i=v.size();
	for (int k=0;k<=m;++k) for (int j=k;j>=0;--j) ss[i][j][k]=add(ss[i][j+1][k],dp[i][j][k]);
	for (int dif=0;dif<=m;++dif)
	{
		for (int k=dif;k<=m;++k) ps[i][dif][k+1]=add(ps[i][dif][k],dp[i][k-dif][k]);
	}
	int su=0;
	for (i=v.size()-1;i>=0;--i)
	{
		for (int j=0;j<=m;++j)
		{
			//cout<<j<<' '<<m<<endl;
			for (int k=j;k<=m;++k)
			{
				int a=j+k;
				su+=a;
				//cout<<j<<endl;
				//u dp[i][j][k] dodaj dp[i+1][>=j][k]
				//u dp[i][j][k] dodaj dp[i+1][j-l][k-l] za l<=v[i]
				dp[i][j][k]=add(ss[i+1][j][k],sub(ps[i+1][k-j][k],ps[i+1][k-j][max(k-v[i],0)]));
				//cout<<i<<' '<<j<<' '<<k<<' '<<dp[i][j][k]<<endl;
			}
		}
		for (int k=0;k<=m;++k) for (int j=k;j>=0;--j) ss[i][j][k]=add(ss[i][j+1][k],dp[i][j][k]);
		for (int dif=0;dif<=m;++dif)
		{
			for (int k=dif;k<=m;++k) ps[i][dif][k+1]=add(ps[i][dif][k],dp[i][k-dif][k]);
		}
	}
	int s=0;
	for (int k=0;k<=m;++k) s=add(s,dp[0][0][k]);
	cout<<s;
}





Measured memory_bytes: 170596