#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
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
typedef pair<int,int> pii;
string a;
string consistency(int n, int k){
priority_queue<pii, vector<pii>, greater<pii>> digits;
priority_queue<pii, vector<pii>, greater<pii>> zeroes;
string ans = "";
int i = 0;
while(i<=k){
if(a[i] == '0') zeroes.push({0,i});
else digits.push({a[i]-'0',i});
i++;
}
int lastI = -1;
while(i<=n){
while(!digits.empty() && digits.top().second <= lastI) digits.pop();
while(!zeroes.empty() && zeroes.top().second <= lastI) zeroes.pop();
if(ans.empty()){
auto top = digits.top();
digits.pop();
int digit = top.first;
lastI = top.second;
ans.push_back(char(digit+'0'));
}
else{
if(!zeroes.empty()){
auto top = zeroes.top();
zeroes.pop();
lastI = top.second;
ans.push_back('0');
}
else{
auto top = digits.top();
digits.pop();
int digit = top.first;
lastI = top.second;
ans.push_back(char(digit+'0'));
}
}
if(a[i] == '0') zeroes.push({0, i});
else digits.push({a[i]-'0', i});
i++;
}
return ans;
}
string practice(int n, int k){
return 0;
}
void solve() {
int k;
cin >> a >> k;
int n = a.size();
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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