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;
struct A {
  long long l, r, idx;
} a[200005];
long long n, k;
vector<long long> ans;
bool cmp(A lp, A rp) {
  if (lp.l != rp.l)
    return lp.l < rp.l;
  else
    return lp.idx < rp.idx;
}
int main(int argc, char const *argv[]) {
  cin >> n >> k;
  for (int i = 0; i < n; ++i) {
    long long l, r;
    cin >> l >> r;
    a[i].l = l;
    a[i].r = r;
    a[i].idx = i + 1;
  }
  sort(a, a + n, cmp);
  multiset<pair<long long, long long> > ms;
  long long j = 0;
  for (int i = 1; i <= 200000; ++i) {
    while (j < n && a[j].l <= i && a[j].r >= i) {
      ms.insert(make_pair(a[j].r, a[j].idx));
      j++;
    }
    while (!ms.empty() && (*ms.begin()).first < i) {
      ms.erase(ms.begin());
    }
    while (ms.size() > k) {
      pair<long long, long long> p = *ms.rbegin();
      ans.push_back(p.second);
      ms.erase(ms.find(p));
    }
  }
  cout << ans.size() << '\n';
  for (long long idx : ans) cout << idx << ' ';
  return 0;
}