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;
const int maxn = 2e5 + 5;
pair<int, int> l[maxn], r[maxn];
bool vis[maxn];
int n, k;
int main() {
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    int x, y;
    cin >> x >> y;
    l[i] = {x, i};
    r[i] = {y, i};
  }
  sort(l + 1, l + n + 1);
  int i1 = 1;
  set<pair<int, int> > q;
  int cnt = 0;
  for (int i = 1; i <= 2e5; i++) {
    while (i1 <= n && l[i1].first == i) {
      cnt++;
      q.insert(r[l[i1].second]);
      i1++;
    }
    while (!q.empty()) {
      auto x = q.begin();
      if (x->first + 1 == i) {
        q.erase(x);
        cnt--;
      } else
        break;
    }
    while (cnt > k) {
      auto x = q.end();
      x--;
      vis[x->second] = 1;
      q.erase(x);
      cnt--;
    }
  }
  int ans = 0;
  for (int i = 1; i <= n; i++) {
    if (vis[i]) ans++;
  }
  cout << ans << endl;
  for (int i = 1; i <= n; i++)
    if (vis[i]) cout << i << ' ';
  return 0;
}