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>
const int maxn = 2e5 + 7;
using namespace std;
vector<pair<pair<int, int>, int> > seg;
vector<int> ans;
int ct[maxn];
struct cmp {
  bool operator()(const pair<pair<int, int>, int> a,
                  const pair<pair<int, int>, int> b) const {
    return a.first.second < b.first.second;
  }
};
void printV(vector<int> ans) {
  cout << ans.size() << endl;
  for (auto x : ans) cout << x << ' ';
  cout << endl;
}
int main() {
  int n, k, l, r;
  cin >> n >> k;
  memset(ct, 0, sizeof ct);
  for (int i = 1; i <= n; i++) {
    cin >> l >> r;
    seg.push_back({{l, r}, i});
    ct[l]++;
    ct[r + 1]--;
  }
  sort(seg.begin(), seg.end());
  priority_queue<pair<pair<int, int>, int>, vector<pair<pair<int, int>, int> >,
                 cmp>
      Q;
  int cur = 0;
  for (int i = 1; i < maxn; i++) {
    ct[i] += ct[i - 1];
    while (seg[cur].first.first <= i && cur < n) Q.push(seg[cur++]);
    while (ct[i] > k) {
      ct[i]--;
      pair<pair<int, int>, int> curSeg = Q.top();
      ans.push_back(curSeg.second);
      ct[curSeg.first.second + 1]++;
      Q.pop();
    }
  }
  printV(ans);
  return 0;
}