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 long long int inf = 0x3f3f3f3f3f3f3f3fll;
const int maxx = 10000000;
int cnt[200005] = {0};
vector<int> en[200005];
vector<int> sta[200005];
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int n, k;
  cin >> n >> k;
  pair<int, int> seg[n + 1];
  int mx = 0;
  for (int i = 1; i <= n; i++) {
    cin >> seg[i].first >> seg[i].second;
    cnt[seg[i].first] += 1;
    cnt[seg[i].second + 1] -= 1;
    sta[seg[i].first].push_back(i);
    en[seg[i].second].push_back(i);
    mx = max(seg[i].second, mx);
  }
  set<pair<int, int> > st;
  vector<int> ans;
  for (int i = 1; i <= 200001; i++) {
    cnt[i] += cnt[i - 1];
    for (int ln : sta[i]) {
      st.insert({seg[ln].second, ln});
    }
    while (cnt[i] > k) {
      auto it = st.end();
      it--;
      ans.push_back(it->second);
      cnt[i]--;
      cnt[it->first + 1]++;
      st.erase(it);
    }
    for (int ln : en[i]) {
      auto it = st.lower_bound({i, ln});
      if (it->first != i || it->second != ln) st.erase({i, ln});
    }
  }
  cout << ans.size() << endl;
  for (int i : ans) cout << i << " ";
  cout << endl;
  return 0;
}