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 int N = 2e5 + 10;
struct P {
  int l, r, id;
  bool operator<(const P &A) const {
    if (l ^ A.l) return l < A.l;
    return r < A.r;
  }
  bool operator>(const P &A) const { return r < A.r; }
} a[N];
int b[N];
int main() {
  ios::sync_with_stdio(false);
  int n, k;
  cin >> n >> k;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i].l >> a[i].r;
    a[i].id = i;
  }
  sort(a + 1, a + n + 1);
  priority_queue<P, vector<P>, greater<P>> Q;
  int j = 1, sum = 0;
  vector<int> ans;
  for (int i = 1; i <= 200000; ++i) {
    while (a[j].l == i) {
      ++b[i];
      --b[a[j].r + 1];
      Q.push(a[j++]);
    }
    sum += b[i];
    int t = sum - k;
    for (int m = 0; m < t; ++m) {
      while (!Q.empty() && Q.top().r < i) {
        Q.pop();
      }
      if (Q.empty()) break;
      P p = Q.top();
      Q.pop();
      ans.push_back(p.id);
      sum--;
      ++b[p.r + 1];
    }
  }
  sort(ans.begin(), ans.end());
  cout << ans.size() << '\n';
  for (int i = 0; i < ans.size(); ++i)
    cout << ans[i] << " \n"[i + 1 == ans.size()];
  return 0;
}