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;
void solve() {
  vector<pair<int, pair<int, int> > > in;
  int n, k;
  scanf("%d %d", &n, &k);
  for (int i = 0; i < n; ++i) {
    int l, r;
    scanf("%d %d ", &l, &r);
    in.push_back(make_pair(l, make_pair(-r, i)));
  }
  sort(in.begin(), in.end());
  set<pair<int, pair<int, int> > > big;
  vector<int> ret;
  for (int i = 0; i < in.size(); ++i) {
    int l = in[i].first, r = -in[i].second.first;
    int id = in[i].second.second;
    while (big.size() > 0) {
      pair<int, pair<int, int> > u = *big.begin();
      if (u.first < l) {
        big.erase(u);
      } else {
        break;
      }
    }
    big.insert(make_pair(r, make_pair(-l, id)));
    if (big.size() > k) {
      pair<int, pair<int, int> > u = *prev(big.end());
      big.erase(prev(big.end()));
      ret.push_back(u.second.second);
    }
  }
  sort(ret.begin(), ret.end());
  printf("%d\n", ret.size());
  for (int i = 0; i < ret.size(); ++i) {
    printf("%d ", ret[i] + 1);
  }
}
int main() {
  solve();
  return 0;
}