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;
vector<pair<long long int, long long int>> v[200005];
void solve() {
  long long n, k;
  cin >> n >> k;
  vector<pair<long long int, long long int>> a;
  for (long long int i = 0; i < n; i++) {
    long long x, y;
    cin >> x >> y;
    v[x].push_back({0, i});
    v[y].push_back({1, i});
    a.push_back({x, y});
  }
  for (long long int i = 1; i < 200005; i++) sort((v[i]).begin(), (v[i]).end());
  set<pair<long long int, long long int>> pq;
  vector<long long int> ans;
  for (long long int i = 1; i < 200005; i++) {
    for (auto j : v[i]) {
      if (j.first == 1) break;
      pq.insert({-a[j.second].second, j.second});
    }
    while ((long long int)pq.size() > k) {
      pair<long long int, long long int> rem = *pq.begin();
      pq.erase(rem);
      ans.push_back(rem.second);
    }
    for (auto j : v[i]) {
      if (j.first == 0) continue;
      pq.erase({-a[j.second].second, j.second});
    }
  }
  cout << (long long int)ans.size() << '\n';
  for (long long int i = 0; i < (long long int)ans.size(); i++)
    cout << ans[i] + 1 << " ";
  return;
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  int TESTS = 1;
  while (TESTS--) {
    solve();
  }
  cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
  return 0;
}