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 = (int)2e5 + 15;
const int MOD = 1000000007;
const int inf = 0x3f3f3f3f;
struct Seg {
  int l, r, idx;
  bool operator<(const Seg& b) const { return l != b.l ? l < b.l : r < b.r; }
};
Seg seg[N];
int sum[N];
bool used[N];
int main() {
  int k, n;
  scanf("%d%d", &n, &k);
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &seg[i].l, &seg[i].r);
    seg[i].idx = i;
  }
  sort(seg + 1, seg + 1 + n);
  int m = 0;
  priority_queue<pair<int, int> > que;
  for (int i = 1, it = 1; i <= N - 1; i++) {
    while (it <= n && seg[it].l == i) {
      que.push(make_pair(seg[it].r, seg[it].idx));
      sum[i]++;
      sum[seg[it].r + 1]--;
      it++;
    }
    sum[i] += sum[i - 1];
    while (sum[i] > k) {
      auto pr = que.top();
      que.pop();
      used[pr.second] = true;
      sum[i]--;
      sum[pr.first + 1]++;
      m++;
    }
  }
  printf("%d\n", m);
  for (int i = 1; i <= n; i++) {
    if (used[i]) {
      printf("%d ", i);
    }
  }
  puts("");
}