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;
struct node {
  int s, len;
  int id;
} no[200005];
bool cmp(node a, node b) {
  if (a.s != b.s) return a.s < b.s;
  return a.len > b.len;
}
struct mynode {
  int end, id;
};
struct rules {
  bool operator()(const mynode& a, const mynode& b) { return a.end < b.end; }
};
multiset<mynode, rules> mset;
vector<int> vec;
int main() {
  cin >> n >> k;
  int r = 0;
  int cnt = 0;
  for (int i = 0; i < n; i++) {
    int u, v;
    cin >> u >> v;
    r = max(r, v);
    no[i].s = u;
    no[i].len = v - u + 1;
    no[i].id = i;
  }
  sort(no, no + n, cmp);
  int j = 0;
  for (int i = 1; i <= r; i++) {
    while (!mset.empty() && (*mset.begin()).end < i) {
      mset.erase(mset.begin());
    }
    while (no[j].s == i) {
      int end = no[j].s + no[j].len - 1;
      mset.insert(mynode{end, no[j].id});
      j++;
    }
    while (mset.size() > k) {
      vec.push_back((*(--mset.end())).id);
      cnt++;
      mset.erase(--mset.end());
    }
  }
  cout << cnt << endl;
  for (int i = 0; i < vec.size(); i++) {
    cout << vec[i] + 1 << " ";
  }
  cout << endl;
  return 0;
}