Help me in solving INOIPRAC - BREAKTHESTR

help
1

Problem Statement

Here’s my thought :

#include <bits/stdc++.h>

#define vi vector<int>

using namespace std;

void setIO() {
  cin.tie(0)->ios_base::sync_with_stdio(0);
}

void solve() {
  int n,k;
  cin >> n >> k;
  string s;
  cin >> s;
  cout << 1;
  vi pz(n+1), po(n+1);
  for(int i = 1;i <= n;++i) {
    if(s[i-1] == '0') {
      pz[i] = pz[i-1] + 1;
      po[i] = po[i-1];
    }
    else {
      pz[i] = pz[i-1];
      po[i] = po[i-1] + 1;
    }
  }/*
  for(auto &x : pz) cout << x << ' ';
  cout << '\n';
  for(auto &x : po) cout << x << ' ';*/
  int t = 0;
  for(int i = 2;i <= n;++i) {
    if(abs(po[i]-pz[i])-t > k) {
      t = abs(po[i-1]-pz[i-1]);
      cout << 1;
    }
    else {
      cout << 0;
    }
  }
  cout << '\n';
}

int main() {
     setIO();
     int t;
     cin >> t;
     while(t--) solve();
     return 0;
}

& here’s my submission:
I know I m stuck due to that temporary variable t but don’t get what’s exactly being wrong here or how can I fix it