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 pos {
  int l, r;
  int i;
};
bool comparePos(pos p1, pos p2) {
  if (p1.l > p2.l) {
    return 1;
  } else if (p1.l < p2.l) {
    return 0;
  } else {
    if (p1.r > p2.r)
      return 1;
    else
      return 0;
  }
}
bool compareAt(pos p1, pos p2) { return p1.i < p2.i; }
int main() {
  int n, k;
  cin >> n >> k;
  pos p[n + 1];
  for (int i = 0; i < n; i++) {
    cin >> p[i].l >> p[i].r;
    p[i].i = i + 1;
  }
  sort(p, p + n, comparePos);
  int total[200005] = {0};
  vector<int> unused;
  for (int i = 0; i < n; i++) {
    int curr = p[i].l;
    int last = p[i].r;
    int take = 1;
    int j;
    for (j = curr; j <= last; j++) {
      total[j]++;
      if (total[j] > k) {
        take = 0;
        break;
      }
    }
    if (!take) {
      unused.push_back(p[i].i);
      for (int k = curr; k <= j; k++) {
        total[k]--;
      }
    }
  }
  cout << unused.size() << endl;
  if (unused.size() > 0) {
    cout << unused[0];
    for (int i = 1; i < unused.size(); i++) {
      cout << " " << unused[i];
    }
  }
  cout << "\n";
}