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;
struct Node {
  int l, r;
  int id;
  Node(){};
  Node(int _l, int _r, int _id) {
    l = _l;
    r = _r;
    id = 0;
  }
  friend bool operator<(const Node &A, const Node &B) { return A.r < B.r; }
  friend bool operator>(const Node &A, const Node &B) {
    return (A < B) ? false : true;
  }
};
int mycmp(const Node &A, const Node &B) { return A.l < B.l; }
int main() {
  {
    cin.sync_with_stdio(0);
    cout.sync_with_stdio(0);
    cin.tie(0);
    cout.tie();
  }
  {}
  int n, k;
  cin >> n >> k;
  deque<Node> arr(n);
  for (int i = (int)(0); i < (int)(n); i++) {
    cin >> arr[i].l >> arr[i].r;
    arr[i].id = i + 1;
  }
  sort(arr.begin(), arr.end(), mycmp);
  vector<int> checked(n + 1, 0);
  vector<int> ans(0);
  priority_queue<Node, vector<Node> > Q;
  priority_queue<Node, vector<Node>, greater<Node> > Q2;
  int t = 0;
  for (int i = 1; i <= 1e5; i++) {
    while (!arr.empty() && arr.front().l <= i) {
      Q.push(arr.front());
      Q2.push(arr.front());
      arr.pop_front();
      t++;
    }
    while (!Q2.empty() && Q2.top().r < i) {
      Node tmp = Q2.top();
      if (!checked[tmp.id]) t--;
      checked[tmp.id] = 1;
      Q2.pop();
    }
    while (t > k) {
      Node tmp = Q.top();
      Q.pop();
      if (checked[tmp.id]) continue;
      checked[tmp.id] = 1;
      ans.push_back(tmp.id);
      t--;
    }
  }
  sort(ans.begin(), ans.end());
  cout << ans.size() << "\n";
  for (int i : ans) cout << i << " ";
  return 0;
}