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 maxn = 2e5 + 10;
int c[maxn], f[maxn], b[maxn];
long long sum = 0, now = 0;
struct aa {
  int x;
  int y;
  int idx;
} a[1010];
bool cmp(aa i, aa j) {
  if (i.y != j.y) return i.y < j.y;
  return i.x < j.x;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  int n, k;
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    cin >> a[i].x >> a[i].y;
    a[i].idx = i;
  }
  memset(b, 0, sizeof(b));
  memset(f, 0, sizeof(f));
  sort(a + 1, a + n + 1, cmp);
  int p = 0;
  for (int i = 1; i <= n; i++) {
    for (int j = a[i].x; j <= a[i].y; j++) {
      b[j]++;
      if (b[j] > k) {
        f[++p] = a[i].idx;
        break;
      }
    }
  }
  cout << p << endl;
  for (int i = 1; i <= p; i++) {
    cout << f[i] << " ";
  }
  return 0;
}