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;
long long N, K;
vector<pair<pair<long long, long long>, long long>> lrv;
vector<long long> ansv;
long long i, j, k;
int main() {
  scanf("%lld%lld", &N, &K);
  for (i = 0; i < N; i++) {
    long long l, r;
    scanf("%lld%lld", &l, &r);
    lrv.push_back({{l, r}, i + 1});
  }
  sort(lrv.begin(), lrv.end());
  set<pair<long long, long long>> st;
  for (i = 0; i < N; i++) {
    auto lr = lrv[i];
    while (st.size() > 0) {
      auto a = *st.begin();
      if (a.first >= lr.first.first) break;
      st.erase(st.begin());
    }
    st.insert({lr.first.second, lr.second});
    if (st.size() > K) {
      auto it = st.end();
      it--;
      ansv.push_back(it->second);
      st.erase(it);
    }
  }
  printf("%d\n", ansv.size());
  for (i = 0; i < ansv.size(); i++) {
    printf("%lld ", ansv[i]);
  }
  return 0;
}