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 haha {
  int x, y;
} one[200010];
int n, k;
int x, y;
int L;
int top;
int ans[200010];
bool vis[200010];
int seq[200010];
int main() {
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    cin >> one[i].x >> one[i].y;
    seq[one[i].x]++;
    seq[one[i].y + 1]--;
    L = max(L, one[i].y);
  }
  int now = 0;
  for (int i = 1; i <= L; i++) {
    now += seq[i];
    if (now > k) {
      for (int j = 1; j <= now - k; j++) {
        int tmp = 0;
        for (int h = 1; h <= n; h++)
          if (one[h].x <= i && i <= one[h].y && !vis[h]) {
            if (one[tmp].y > one[h].y)
              continue;
            else
              tmp = h;
          }
        vis[tmp] = true;
        ans[++top] = tmp;
        seq[one[tmp].x]--;
        seq[one[tmp].y + 1]++;
      }
      now = k;
    }
  }
  cout << top << endl;
  sort(ans + 1, ans + 1 + top);
  for (int i = 1; i <= top; i++) cout << ans[i] << " ";
}