#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
inline int power(int a, int b) {
int x = 1;
while (b) {
if (b & 1) x *= a;
a *= a;
b >>= 1;
}
return x;
}
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
//_ ***************************** START Below *******************************
string a;
int consistency(int n, int k){
vector<int> zeroes;
for(int i=0; i<n; i++){
if(a[i] == '0') zeroes.push_back(i+1);
}
int s = 0, e = 0;
int l = 0;
int ans = INF;
while(e<zeroes.size()){
if(e-s+1 < k+1){
e++;
}
else{
while(l<e ){
int curr = max(zeroes[l]-zeroes[s], zeroes[e]-zeroes[l]);
int next = max(zeroes[l+1]-zeroes[s], zeroes[e]-zeroes[l+1]);
if(next > curr) break;
l++;
}
int maxDist = max(zeroes[l]-zeroes[s], zeroes[e]-zeroes[l]);
ans = min(ans, maxDist);
s++;
e++;
}
}
return ans;
}
void solve() {
int n, k;
cin>>n >> k;
cin >> a;
cout << consistency(n, k) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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