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 long long INF32 = 1e9;
const long long INF64 = 1e17;
const int RANGE = 1e6 + 5;
using namespace std;
template <class T>
void read(T &Val) {
  T tmp = 0;
  char ch = getchar();
  int flag = 1;
  while (!(ch >= '0' && ch <= '9')) {
    if (ch == '-') flag = -1;
    ch = getchar();
  }
  while ((ch >= '0' && ch <= '9')) {
    tmp = tmp * 10 + ch - '0';
    ch = getchar();
  }
  Val = flag * tmp;
}
vector<pair<int, pair<int, int> > > keep[(int)3e5];
multiset<pair<int, pair<int, int> > > ended;
multiset<pair<int, pair<int, int> > > began;
int main() {
  int n, k;
  read(n), read(k);
  for (int i = 1; i <= n; i++) {
    int a, b;
    read(a), read(b);
    pair<int, pair<int, int> > here;
    here = make_pair(i, make_pair(a, b));
    keep[a].push_back(here);
  }
  int sum = 0;
  vector<int> ans;
  for (int i = 1; i <= 2e5 + 1; i++) {
    for (int j = 0; j < (int)(keep[i]).size(); j++) {
      pair<int, pair<int, int> > here = keep[i][j];
      ended.insert(make_pair(here.second.second,
                             make_pair(here.second.first, here.first)));
    }
    if (ended.empty()) continue;
    while ((int)ended.size() > k) {
      sum++;
      pair<int, pair<int, int> > here = *prev(ended.end());
      ans.push_back(here.second.second);
      ended.erase(prev(ended.end()));
    }
    while (1) {
      if (ended.empty()) break;
      auto here = ended.lower_bound(make_pair(i, make_pair(-20, -20)));
      if (here->first == i)
        ended.erase(here);
      else
        break;
    }
  }
  cout << sum << endl;
  for (int i = 0; i < (int)(ans).size(); i++) {
    cout << ans[i] << " ";
  }
  return 0;
}