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;
vector<int> kol(210, 0);
vector<int> deleted(210, 0);
int main(void) {
  int n, k;
  cin >> n >> k;
  vector<pair<int, int>> vec(n);
  for (int i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    pair<int, int> temp;
    temp = {l, r};
    vec[i] = temp;
    for (int j = l; j <= r; j++) {
      kol[j]++;
    }
  }
  vector<int> ans;
  while (1) {
    bool fl = false;
    for (int i = 1; i <= 200; i++) {
      if (kol[i] > k) {
        fl = true;
        int mx_r = 0, ind = -1;
        for (int j = 0; j < n; j++) {
          int l = vec[j].first;
          int r = vec[j].second;
          if (!deleted[j] && i >= l && i <= r) {
            if (r > mx_r) {
              mx_r = r;
              ind = j;
            }
          }
        }
        ans.push_back(ind + 1);
        deleted[ind] = 1;
        int l = vec[ind].first;
        int r = vec[ind].second;
        for (int j = l; j <= r; j++) {
          kol[j]--;
        }
        break;
      }
    }
    if (!fl) {
      break;
    }
  }
  cout << ans.size() << '\n';
  for (auto to : ans) {
    cout << to << " ";
  }
}