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;
int fenwick[200005];
void update(int i, int val) {
  while (i <= 200000) {
    fenwick[i] += val;
    i += (i & -i);
  }
}
int sum(int i) {
  int ret = 0;
  while (i) {
    ret += fenwick[i];
    i -= (i & -i);
  }
  return ret;
}
void range_add(int l, int r, int val) {
  update(l, val);
  update(r + 1, -val);
}
void solve() {
  int n, k;
  cin >> n >> k;
  vector<pair<pair<long long, long long>, long long> > arr(n);
  for (int i = 0; i < n; i++) cin >> arr[i].first.first >> arr[i].first.second;
  for (int i = 0; i < n; i++) arr[i].second = i + 1;
  sort(arr.begin(), arr.end());
  queue<pair<pair<long long, long long>, long long> > q;
  for (int i = 0; i < n; i++) q.push(arr[i]);
  multiset<pair<long long, long long> > fin_point;
  vector<int> ans;
  for (int i = 1; i <= 200; i++) {
    while (q.size() && q.front().first.first == i) {
      int l = q.front().first.first;
      int r = q.front().first.second;
      int idx = q.front().second;
      q.pop();
      range_add(l, r, 1);
      fin_point.insert(pair<long long, long long>(r, idx));
    }
    while (fin_point.size() && fin_point.begin()->first < i)
      fin_point.erase(fin_point.begin());
    int cnt = sum(i);
    while (cnt > k) {
      int fin = fin_point.rbegin()->first;
      int idx = fin_point.rbegin()->second;
      fin_point.erase(fin_point.find(pair<long long, long long>(fin, idx)));
      cnt--;
      range_add(1, fin, -1);
      ans.push_back(idx);
    }
  }
  cout << ans.size() << '\n';
  for (int a : ans) cout << a << " ";
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int t;
  t = 1;
  while (t--) {
    solve();
  }
}