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;
bool compar(vector<int> &a, vector<int> &b) { return (a[1] > b[1]); }
signed main() {
  ios::sync_with_stdio(0);
  cin.tie(NULL);
  cout.tie(NULL);
  int n, k;
  cin >> n >> k;
  map<int, vector<int>> p;
  for (int j = 0; j < n; j++) {
    int l, r;
    cin >> l >> r;
    p[j] = {l, r, j};
  }
  int ans = 0;
  vector<int> index;
  for (int j = 1; j <= 200; j++) {
    map<int, vector<int>>::iterator it1;
    vector<vector<int>> v;
    for (it1 = p.begin(); it1 != p.end(); ++it1) {
      if (p[it1->first][0] <= j && p[it1->first][1] >= j) {
        v.push_back(p[it1->first]);
      }
    }
    sort(v.begin(), v.end(), compar);
    int cnt = v.size();
    for (int i = 0; i < cnt - k; ++i) {
      ans++;
      p.erase(v[i][2]);
      index.push_back(v[i][2]);
    }
  }
  cout << ans << "\n";
  for (int j = 0; j < ans; j++) {
    cout << index[j] + 1 << " ";
  }
  cout << "\n";
  return 0;
}