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 n, k;
pair<pair<int, int>, int> a[200005];
int main() {
  cin >> n >> k;
  for (int i = 0; i < n; i++) {
    cin >> a[i].first.first >> a[i].first.second;
    a[i].second = i + 1;
  }
  sort(a, a + n);
  multiset<pair<int, int> > s;
  int r = 0;
  vector<int> v;
  for (int i = 1; i <= 200000; i++) {
    while (r < n && a[r].first.first <= i) {
      s.insert({a[r].first.second, a[r].second});
      r++;
    }
    while (true) {
      if (s.empty()) break;
      auto it = s.begin();
      int id = (*it).first;
      if (id < i)
        s.erase(it);
      else
        break;
    }
    int size = s.size();
    if (size <= k) continue;
    while (size > k) {
      auto it = s.end();
      it--;
      int id = (*it).second;
      v.push_back(id);
      s.erase(it);
      size--;
    }
  }
  cout << v.size() << endl;
  for (int i = 0; i < v.size(); i++) {
    printf("%d%c", v[i], i == v.size() - 1 ? '\n' : ' ');
  }
  return 0;
}