Problem: The only difference between easy and hard versions is constraints.

You are given n segments on the coordinate axis OX. Segments can intersect, lie inside each other and even coincide. The i-th segment is [l_i; r_i] (l_i ≤ r_i) and it covers all integer points j such that l_i ≤ j ≤ r_i.

The integer point is called bad if it is covered by strictly more than k segments.

Your task is to remove the minimum number of segments so that there are no bad points at all.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 200) — the number of segments and the maximum number of segments by which each integer point can be covered.

The next n lines contain segments. The i-th line contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 200) — the endpoints of the i-th segment.

Output

In the first line print one integer m (0 ≤ m ≤ n) — the minimum number of segments you need to remove so that there are no bad points.

In the second line print m distinct integers p_1, p_2, ..., p_m (1 ≤ p_i ≤ n) — indices of segments you remove in any order. If there are multiple answers, you can print any of them.

Examples

Input


7 2
11 11
9 11
7 8
8 9
7 8
9 11
7 9


Output


3
1 4 7 


Input


5 1
29 30
30 30
29 29
28 30
30 30


Output


3
1 2 4 


Input


6 1
2 3
3 3
2 3
2 2
2 3
2 3


Output


4
1 3 5 6 

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template <class T, class U>
using Pa = pair<T, U>;
template <class T>
using vec = vector<T>;
template <class T>
using vvec = vector<vec<T>>;
int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  int N, K;
  cin >> N >> K;
  vec<int> L(N), R(N);
  int ma = 2e5;
  vvec<Pa<int, int>> list(ma);
  for (int i = 0; i < N; i++) {
    cin >> L[i] >> R[i];
    L[i]--;
    R[i]--;
    list[L[i]].push_back({R[i], i});
  }
  vec<int> ans;
  set<Pa<int, int>> s;
  for (int i = 0; i < ma; i++) {
    for (auto p : list[i]) s.insert(p);
    while (s.size() > K) {
      auto p = *s.rbegin();
      ans.push_back(p.second);
      s.erase(p);
    }
    while (!s.empty()) {
      auto p = *s.begin();
      if (p.first == i) {
        s.erase(p);
      } else
        break;
    }
  }
  cout << ans.size() << "\n";
  for (auto& x : ans) cout << x + 1 << " ";
  cout << "\n";
}