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;
const int N = 200050;
int l[N], r[N];
int main() {
  int n, k;
  scanf("%i %i", &n, &k);
  set<pair<int, int>> sgs;
  vector<pair<int, int>> evs;
  for (int i = 1; i <= n; i++) {
    scanf("%i %i", &l[i], &r[i]);
    evs.push_back({l[i], i});
    evs.push_back({r[i] + 1, -i});
  }
  sort(evs.begin(), evs.end());
  vector<int> ans;
  for (auto e : evs) {
    int id = abs(e.second);
    if (e.second < 0) {
      if (sgs.count({r[id], id})) sgs.erase({r[id], id});
    } else {
      sgs.insert({r[id], id});
    }
    if (sgs.size() > k)
      ans.push_back(sgs.rbegin()->second), sgs.erase(--sgs.end());
  }
  printf("%i\n", ans.size());
  for (int i : ans) printf("%i ", i);
  return 0;
}