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 N = 200 + 1;
const int mod = 1e9 + 7;
const int _mod = 228228227;
const int prime = 997;
const int _prime = 29;
int n, k, l[N], r[N], cor[N], c[N], sz[N], used[N];
inline void purify() {}
inline void precalc() {}
inline void read() {
  scanf("%d %d", &n, &k);
  for (int i = 1; i <= n; i++) {
    scanf("%d %d", &l[i], &r[i]);
    for (int j = l[i]; j <= r[i]; j++) {
      cor[j]++;
    }
  }
}
inline void upd() {
  for (int i = 1; i <= n; i++) {
    sz[i] = 0;
    for (int j = l[i]; j <= r[i]; j++) {
      if (cor[j] > k) {
        sz[i]++;
      }
    }
  }
}
inline void solve() {
  upd();
  vector<int> ans;
  for (int i = 1; i < N; i++) {
    while (cor[i] > k) {
      int can_i = -1, can_sz = 0;
      for (int j = 1; j <= n; j++) {
        if (used[j]) continue;
        if (l[j] <= i && i <= r[j] && sz[j] > can_sz) {
          can_i = j;
          can_sz = sz[j];
        }
      }
      for (int j = l[can_i]; j <= r[can_i]; j++) {
        cor[j]--;
      }
      upd();
      used[can_i] = 1;
      ans.push_back(can_i);
    }
  }
  printf("%d\n", ans.size());
  for (int i : ans) {
    printf("%d ", i);
  }
}
int main() {
  int t;
  t = 1;
  while (t--) {
    read();
    solve();
  }
}