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>
const int maxn = 100000;
using namespace std;
vector<int> ans;
int n, k, mi, ma, ma1, p;
int l[maxn], r[maxn], a[maxn];
bool c[maxn];
int main() {
  cin >> n >> k;
  mi = l[0];
  ma = r[0];
  for (int i = 0; i < n; i++) {
    cin >> l[i] >> r[i];
    mi = min(mi, l[i]);
    ma = max(ma, r[i]);
  }
  for (int i = 0; i < n; i++)
    for (int j = l[i]; j <= r[i]; j++) {
      a[j]++;
    }
  for (int i = mi; i <= ma; i++)
    while (a[i] > k) {
      ma1 = 0;
      for (int j = 0; j < n; j++)
        if (c[j] == 0) {
          if (l[j] <= i && r[j] >= i) {
            if (r[j] > ma1) {
              ma1 = r[j];
              p = j;
            }
          }
        }
      c[p] = 1;
      for (int j = i; j <= ma1; j++) a[j]--;
      ans.push_back(p + 1);
    }
  cout << ans.size() << endl;
  sort(ans.begin(), ans.end());
  for (int i : ans) cout << i << " ";
}