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;
#pragma GCC optimize("O3")
const int mods[10] = {1000000007, 999999937, 999999929, 999999893, 999999883,
                      999999797,  999999761, 999999757, 999999751, 999999739};
const int mod = 1000000007;
int rand_mods[2];
const long double eps = 1e-10;
const int siz = 2e5 + 5, siz2 = (1 << 20) + 5, lg = 21, block = 448,
          block2 = 1000, mxv = 5e5, sqrt_mod = 31630;
const int alpha_sz = 26;
int n, k;
set<pair<int, int>, greater<pair<int, int>>> segs;
struct lim {
  int co, t, i;
};
struct lr {
  int l, r;
};
lim lims[siz * 2];
lr lrs[siz];
vector<int> ans;
bool cmp(lim a, lim b) {
  if (a.co != b.co) {
    return a.co < b.co;
  }
  return a.t < b.t;
}
int main() {
  scanf("%d%d", &n, &k);
  for (int i = 0; i < n; i++) {
    int l, r;
    scanf("%d%d", &l, &r);
    lims[i * 2] = {l, 0, i};
    lims[i * 2 + 1] = {r, 1, i};
    lrs[i] = {l, r};
  }
  sort(lims, lims + 2 * n, cmp);
  for (int i = 0; i < 2 * n; i++) {
    if (lims[i].t) {
      segs.erase({lrs[lims[i].i].r, lims[i].i});
    } else {
      segs.insert({lrs[lims[i].i].r, lims[i].i});
      if (segs.size() > k) {
        ans.push_back((*segs.begin()).second + 1);
        segs.erase(segs.begin());
      }
    }
  }
  int sz = ans.size();
  printf("%d\n", sz);
  for (int v : ans) {
    printf("%d ", v);
  }
  printf("\n");
  return 0;
}