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 n, K;
struct uzi {
  int l, r, i;
  bool operator<(const uzi& t) const {
    if (l == t.l) return r > t.r;
    return l < t.l;
  }
} p[N];
int a[N];
int t[N << 2];
void add(int x, int y) {
  for (; x <= 200000; x += x & -x) t[x] += y;
}
int get(int x) {
  int ans = 0;
  for (; x; x -= x & -x) ans += t[x];
  return ans;
}
int main() {
  ios::sync_with_stdio(false);
  cin >> n >> K;
  for (int i = 1; i <= n; i++)
    cin >> p[i].l >> p[i].r, a[p[i].l]++, a[p[i].r + 1]--, p[i].i = i;
  sort(p + 1, p + 1 + n);
  for (int i = 1; i <= 200000; i++) add(i, a[i]);
  priority_queue<pair<int, int> > q;
  int l = 1;
  vector<int> ans;
  for (int i = 1; i <= 200000; i++) {
    while (!q.empty() && q.top().first < i) q.pop();
    while (l <= n && p[l].l == i) {
      q.push({p[l].r, p[l].i});
      l++;
    }
    int x = get(i);
    if (x > K) {
      while (!q.empty() && x > K) {
        auto k = q.top();
        q.pop();
        add(i, -1);
        add(k.first + 1, 1);
        ans.push_back(k.second);
        x--;
      }
    }
  }
  cout << (int)ans.size() << endl;
  for (auto k : ans) cout << k << ' ';
  return 0;
}