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;
int main() {
  int i = 0, j = 0, cs = 0, in;
  int n, k;
  cin >> n >> k;
  vector<int> sum(205);
  vector<pair<int, int> > v;
  for (i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    sum[l]++;
    sum[r + 1]--;
    v.push_back({l, r});
  }
  for (i = 1; i <= 200; i++) sum[i] = sum[i - 1] + sum[i];
  vector<int> check(205);
  vector<int> out;
  for (i = 1; i <= 200; i++) {
    while (sum[i] > k) {
      int ans = -1;
      for (j = 0; j < v.size(); j++) {
        if (v[j].first <= i && i <= v[j].second && !check[j] &&
            (ans == -1 || v[j].second > v[ans].second))
          ans = j;
      }
      check[ans] = 1;
      out.push_back(ans + 1);
      for (j = v[ans].first; j <= v[ans].second; j++) sum[j]--;
    }
  }
  cout << out.size() << "\n";
  for (int fi = 0; fi < out.size(); fi++) cout << out[fi] << " ";
  cout << "\n";
  ;
  return 0;
}