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 = 2e5 + 10;
int d[N];
struct Segment {
  int l, r, id;
  bool operator<(const Segment &o) const { return r < o.r; }
} seg[N];
int main() {
  int n, k;
  scanf("%d%d", &n, &k);
  for (int i = 1; i <= n; ++i) {
    int l, r;
    scanf("%d%d", &l, &r);
    seg[i].l = l, seg[i].r = r;
    seg[i].id = i;
    d[l]++;
    d[r + 1]--;
  }
  auto cmp = [](const Segment &a, const Segment &b) { return a.l < b.l; };
  sort(seg + 1, seg + n + 1, cmp);
  multiset<Segment> o;
  int sum = 0;
  int maxn = 2e5;
  int p = 1;
  vector<int> bestid;
  for (int i = 1; i <= maxn; ++i) {
    sum += d[i];
    while (p <= n && seg[p].l <= i) {
      o.insert(seg[p]);
      ++p;
    }
    while (sum > k) {
      auto it = o.end();
      --it;
      bestid.push_back(it->id);
      d[it->r + 1]++;
      sum--;
      o.erase(it);
    }
  }
  sort(bestid.begin(), bestid.end());
  printf("%d\n", int(bestid.size()));
  for (int &v : bestid) printf("%d ", v);
  puts("");
}