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;
int n, k;
vector<int> bit(int(2e5) + 1);
void update(int first, int val) {
  for (; first <= int(2e5); first += (first & -first)) bit[first] += val;
}
int get(int first) {
  int ret = 0;
  for (; first > 0; first -= (first & -first)) ret += bit[first];
  return ret;
}
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cin >> n >> k;
  vector<pair<pair<int, int>, int>> v;
  vector<int> pos, ans;
  for (int i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    update(int(2e5) + 1 - r, 1);
    if (l > 1) update(int(2e5) - l + 2, -1);
    v.push_back({{l, r}, i + 1});
  }
  sort(v.begin(), v.end());
  for (int i = 1; i <= int(2e5); i++) {
    int val = get(int(2e5) + 1 - i);
    if (val > k) pos.push_back(i);
  }
  set<pair<int, int>> tmp;
  int j = 0;
  for (int i = 0; i < n && j < pos.size(); i++) {
    tmp.insert({v[i].first.second, v[i].second});
    if ((i == n - 1 ? 1 : v[i + 1].first.first > pos[j])) {
      int b = get(int(2e5) + 1 - pos[j]);
      for (int a = 0; a < b - k; a++) {
        auto it = prev(tmp.end());
        ans.push_back((*it).second);
        update(int(2e5) + 1 - (*it).first, -1);
        tmp.erase(it);
      }
      while (j < pos.size()) {
        j++;
        if (j == pos.size()) break;
        if (get(int(2e5) + 1 - pos[j]) > k) break;
      }
    }
  }
  cout << ans.size() << '\n';
  for (int first : ans) cout << first << ' ';
}