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;
void io() { ios_base::sync_with_stdio(0), cin.tie(0); }
struct Node {
  int id, l, r;
};
int n, k;
vector<Node> nodes;
struct pinha_compare {
  bool operator()(int p, int q) const {
    if (nodes[p].r == nodes[q].r) return nodes[p].id < nodes[q].id;
    return nodes[p].r < nodes[q].r;
  }
};
void Solve() {
  vector<int> ans;
  map<int, vector<int> > starting_at;
  for (const auto& node : nodes) starting_at[node.l].push_back(node.id);
  set<int, pinha_compare> S;
  for (const auto& x : starting_at) {
    const int cur_time = x.first;
    while (!S.empty()) {
      auto it = S.begin();
      const int earliest_end = nodes[*it].r;
      if (earliest_end >= cur_time) break;
      S.erase(it);
    }
    for (int i : x.second) S.insert(i);
    while (int(S.size()) > k) {
      auto it = S.rbegin();
      const int to_kill = nodes[*it].id;
      ans.push_back(to_kill);
      S.erase(to_kill);
    }
  }
  cout << ans.size() << "\n";
  for (int x : ans) cout << x + 1 << " ";
  cout << "\n";
}
int main() {
  io();
  while (cin >> n) {
    cin >> k;
    nodes.resize(n);
    for (int i = 0; i < n; i++) {
      nodes[i].id = i;
      cin >> nodes[i].l >> nodes[i].r;
    }
    Solve();
  }
  return 0;
}