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 = 200004, M = 200000;
struct S {
  int l, r, id;
  bool operator<(const S &p) const { return r < p.r; }
} s[N], t;
priority_queue<S> q;
bool cmp(S &a, S &b) { return a.l < b.l; }
int sum[N], n, k;
vector<int> v;
int main() {
  scanf("%d %d", &n, &k);
  for (int i = 1; i <= n; i++) {
    scanf("%d %d", &s[i].l, &s[i].r);
    s[i].id = i;
    sum[s[i].l]++;
    sum[s[i].r + 1]--;
  }
  sort(s + 1, s + n + 1, cmp);
  for (int i = 1, p = 1; i <= M; i++) {
    sum[i] += sum[i - 1];
    if (sum[i] <= k) continue;
    for (; p <= n && s[p].l <= i; p++) q.push(s[p]);
    while (!q.empty() && sum[i] > k) {
      t = q.top();
      q.pop();
      sum[i]--;
      ++sum[t.r + 1];
      v.push_back(t.id);
    }
  }
  printf("%d\n", v.size());
  for (int i = 0; i < v.size(); i++) printf("%d ", v[i]);
}