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 x[205], ans[205];
struct str {
  int st, dr;
} v[205];
int main() {
  int left, right, i, j, n, k, maxx, p, it = 0;
  cin >> n >> k;
  for (i = 1; i <= n; i++) {
    cin >> left >> right;
    v[i].st = left;
    v[i].dr = right;
    x[left]++;
    x[right + 1]--;
  }
  for (i = 1; i <= 200; i++) x[i] = x[i] + x[i - 1];
  for (i = 1; i <= 200; i++) {
    if (x[i] > k) {
      maxx = 0;
      for (j = 1; j <= n; j++) {
        if (v[j].st <= i and v[j].dr >= i and v[j].dr > maxx)
          maxx = v[j].dr, p = j;
      }
      ans[++it] = p;
      v[p].dr = v[p].st = 0;
      for (j = i; j <= maxx; j++) x[j]--;
      i--;
    }
  }
  cout << it << "\n";
  for (i = 1; i <= it; i++) cout << ans[i] << " ";
  return 0;
}