/*{{{*/
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<string>
#include<iostream>
#include<sstream>
#include<set>
#include<map>
#include<queue>
#include<bitset>
#include<vector>
#include<limits.h>
#include<assert.h>
#define SZ(X) ((int)(X).size())
#define ALL(X) (X).begin(), (X).end()
#define REP(I, N) for (int I = 0; I < (N); ++I)
#define REPP(I, A, B) for (int I = (A); I < (B); ++I)
#define FOR(I, A, B) for (int I = (A); I <= (B); ++I)
#define FORS(I, S) for (int I = 0; S[I]; ++I)
#define RS(X) scanf("%s", (X))
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET_POS(c,x) (lower_bound(c.begin(),c.end(),x)-c.begin())
#define CASET int ___T; scanf("%d", &___T); for(int cs=1;cs<=___T;cs++)
#define MP make_pair
#define PB emplace_back
#define MS0(X) memset((X), 0, sizeof((X)))
#define MS1(X) memset((X), -1, sizeof((X)))
#define LEN(X) strlen(X)
#define F first
#define S second
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef long double LD;
typedef pair<int,int> PII;
typedef vector<int> VI;
typedef vector<LL> VL;
typedef vector<PII> VPII;
typedef pair<LL,LL> PLL;
typedef vector<PLL> VPLL;
template<class T> void _R(T &x) { cin >> x; }
void _R(int &x) { scanf("%d", &x); }
void _R(int64_t &x) { scanf("%lld", &x); }
void _R(double &x) { scanf("%lf", &x); }
void _R(char &x) { scanf(" %c", &x); }
void _R(char *x) { scanf("%s", x); }
void R() {}
template<class T, class... U> void R(T &head, U &... tail) { _R(head); R(tail...); }
template<class T> void _W(const T &x) { cout << x; }
void _W(const int &x) { printf("%d", x); }
void _W(const int64_t &x) { printf("%lld", x); }
void _W(const double &x) { printf("%.16f", x); }
void _W(const char &x) { putchar(x); }
void _W(const char *x) { printf("%s", x); }
template<class T,class U> void _W(const pair<T,U> &x) {_W(x.F); putchar(' '); _W(x.S);}
template<class T> void _W(const vector<T> &x) { for (auto i = x.begin(); i != x.end(); _W(*i++)) if (i != x.cbegin()) putchar(' '); }
void W() {}
template<class T, class... U> void W(const T &head, const U &... tail) { _W(head); putchar(sizeof...(tail) ? ' ' : '\n'); W(tail...); }
#ifdef HOME
 #define DEBUG(...) {printf("[DEBUG] ");W(__VA_ARGS__);}
#else
 #define DEBUG(...)
#endif
int MOD = 1e9+7;
void ADD(LL& x,LL v){
    x+=v;
    if(x>=MOD)x-=MOD;
}
/*}}}*/
const int SIZE = 302;
int one_cnt[SIZE];
int one_cnt_sum[SIZE];
LL dp[SIZE][SIZE][SIZE];
void solve() {
    MOD=998244353;
    string s;
    int K;
    R(s);
    int n=SZ(s);
    R(K);
    if(K>SZ(s))K=n;
    int zero_cnt=0;
    REP(i,SZ(s)){
        if(s[i]=='0')zero_cnt++;
        else one_cnt[zero_cnt]++;
    }
    for(int i=zero_cnt;i>=0;i--)one_cnt_sum[i]=one_cnt[i]+one_cnt_sum[i+1];
    dp[0][0][0]=1;
    FOR(i,0,zero_cnt){
        FOR(j,0,n-zero_cnt){
            FOR(k,0,n-zero_cnt){
                if(!dp[i][j][k])continue;
                FOR(k2,max(0,one_cnt[i]-j),n-zero_cnt){
                    if(j+k2-one_cnt[i]>one_cnt_sum[i+1])break;
                    ADD(dp[i+1][j+k2-one_cnt[i]][k+max(0,k2-one_cnt[i])],dp[i][j][k]);
                }
            }
        }
    }
    LL an=0;
    FOR(i,0,K)ADD(an,dp[zero_cnt+1][0][i]);
    W(an);
}
int main(){
#define MULTITEST 0
#if MULTITEST    
    CASET{
        solve();
    }
#else
    solve();
#endif
    return 0;
}


Measured memory_bytes: 56364