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 range {
  int l, r, i;
};
bool cmp(range a, range b) { return a.l < b.l; }
class cmp2 {
 public:
  bool operator()(range a, range b) { return a.r > b.r; }
};
int main() {
  int n, k, pos = 0;
  scanf("%d %d", &n, &k);
  range a[n];
  for (int i = 0; i < n; i++) {
    scanf("%d %d", &a[i].l, &a[i].r);
    a[i].i = i;
  }
  sort(a, a + n, cmp);
  multiset<range, cmp2> s;
  vector<int> v;
  for (int i = 0; i <= 200000; i++) {
    while (pos < n && a[pos].l == i) {
      s.emplace(a[pos]);
      pos++;
    }
    while (!s.empty() && prev(s.end())->r < i) {
      s.erase(prev(s.end()));
    }
    while (s.size() > k) {
      v.push_back(s.begin()->i);
      s.erase(s.begin());
    }
  }
  printf("%d\n", v.size());
  for (auto e : v) printf("%d ", e + 1);
}