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 a[200005];
struct node {
  int l, r, id;
  bool operator<(const node &a) const {
    if (r == a.r) return l < a.l;
    return r > a.r;
  }
} no[200005];
int vis[200005];
int main() {
  int n, k;
  cin >> n >> k;
  int ll = 0x3f3f3f3f;
  int rr = 0;
  for (int i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    no[i].l = l;
    no[i].r = r;
    no[i].id = i + 1;
    ll = min(ll, l);
    rr = max(rr, r);
    a[l]++;
    a[r + 1]--;
  }
  sort(no, no + n);
  int kk = 0;
  vector<int> ans;
  for (int i = ll; i <= rr; i++) {
    a[i] = a[i - 1] + a[i];
    if (a[i] > k) {
      for (int z = 0; z < n && a[i] > k; z++) {
        if (no[z].r < i) break;
        if (no[z].l <= i && vis[z] == 0) {
          a[i]--;
          ans.push_back(no[z].id);
          vis[z] = 1;
          a[no[z].r + 1]++;
        }
      }
    }
  }
  cout << ans.size() << endl;
  for (int i = 0; i < ans.size(); i++) {
    cout << ans[i] << " ";
  }
}