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, a, b;
vector<pair<int, int>> v;
bitset<200100> removed;
vector<int> res;
int ed[200100];
int seg = 0;
priority_queue<pair<int, int>> pq;
pair<int, int> x;
int main() {
  scanf("%d %d", &N, &K);
  for (int i = 1; i <= N; i++) {
    scanf("%d %d", &a, &b);
    ed[i] = b;
    v.push_back(make_pair(b, i));
    v.push_back(make_pair(a, -i));
  }
  sort(v.begin(), v.end());
  for (int i = 0; i < v.size(); i++) {
    x = v[i];
    if (x.second > 0) {
      if (!removed[x.second]) seg--;
      continue;
    }
    x.second = -x.second;
    seg++;
    pq.push(make_pair(ed[x.second], x.second));
    if (seg > K) {
      seg--;
      res.push_back(pq.top().second);
      removed[pq.top().second] = 1;
      pq.pop();
    }
  }
  cout << res.size() << "\n";
  for (int i = 0; i < res.size(); i++) cout << res[i] << "\n";
  return 0;
}