description: It is a complicated version of problem F1. The difference between them is the constraints (F1: k ≤ 2, F2: k ≤ 10).
  
  You are given an integer n. Find the minimum integer x such that x ≥ n and the number x is k-beautiful.
  
  A number is called k-beautiful if its decimal representation having no leading zeroes contains no more than k different digits. E.g. if k = 2, the numbers 3434443, 55550, 777 and 21 are k-beautiful whereas the numbers 120, 445435 and 998244353 are not.
  
  Input
  
  The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.
  
  Each test case consists of one line containing two integers n and k (1 ≤ n ≤ 10^9, 1 ≤ k ≤ 10).
  
  Output
  
  For each test case output on a separate line x — the minimum k-beautiful integer such that x ≥ n.
  
  Example
  
  Input
  
  
  6
  2021 3
  177890 2
  34512 3
  724533 4
  998244353 1
  12345678 10
  
  
  Output
  
  
  2021
  181111
  34533
  724542
  999999999
  12345678
solution: #include <bits/stdc++.h>
  using namespace std;
  string solve() {
    string n;
    int k;
    cin >> n >> k;
    while (true) {
      set<char> s;
      for (auto c : n) s.insert(c);
      if (s.size() <= k) return n;
      s.clear();
      int ptr = 0;
      for (;; ptr++) {
        s.insert(n[ptr]);
        if (s.size() > k) {
          while (n[ptr] == '9') ptr--;
          n[ptr]++;
          for (int i = ptr + 1; i < n.size(); i++) n[i] = '0';
          break;
        }
      }
    }
  }
  int main() {
    int t;
    cin >> t;
    while (t--) cout << solve() << '\n';
    return 0;
  }
  