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;
const long long int mod = 1e9 + 7;
struct my_compare {
  bool operator()(pair<int, pair<int, int> > &lhs,
                  pair<int, pair<int, int> > &rhs) const {
    return lhs.second < rhs.second;
  }
};
int main() {
  long long int t, n, k;
  t = 1;
  while (t--) {
    cin >> n >> k;
    vector<pair<int, pair<int, int> > > A(n);
    for (int i = 0; i < n; i++) {
      A[i].first = i + 1;
      cin >> A[i].second.first >> A[i].second.second;
    }
    sort(A.begin(), A.end(), my_compare());
    long long int ans = 0, p = n - 1, q = n - 1;
    vector<int> B(n, 0), R(n, 1);
    for (int i = 200; i >= 1; i--) {
      int num = 0;
      for (int j = n; j >= 0; j--) {
        if (R[j] == 1) {
          if (A[j].second.first <= i && A[j].second.second >= i) {
            num++;
            if (num > k) {
              R[j] = 0;
              ans++;
              B[ans - 1] = A[j].first;
            }
          }
        }
      }
    }
    cout << ans << endl;
    for (int i = 0; i < ans; i++) {
      cout << B[i] << " ";
    }
    cout << endl;
  }
  return 0;
}