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 long long int N = 1e5 + 5;
long long int line[2 * N], lx[2 * N], rx[2 * N];
pair<pair<long long int, long long int>, long long int> ip[2 * N];
long long int maxn = 0LL;
int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  long long int n, k;
  cin >> n >> k;
  priority_queue<pair<pair<long long int, long long int>, long long int>> pq;
  multiset<long long int> Q;
  for (long long int i = 1; i <= n; i++) {
    long long int l, r;
    cin >> l >> r;
    ip[i] = {{l, r}, i};
    line[l]++;
    line[r + 1]--;
    maxn = max(maxn, r + 1);
  }
  sort(ip + 1, ip + n + 1);
  for (long long int i = 1; i <= maxn; i++) {
    line[i] += line[i - 1];
  }
  vector<long long int> ans;
  long long int idx = 1;
  for (long long int i = 1; i <= maxn; i++) {
    long long int count = 0;
    while (!Q.empty() and *(Q.begin()) == i) {
      count++;
      Q.erase(Q.begin());
    }
    long long int count2 = 0;
    while (ip[idx].first.first == i) {
      pq.push({{ip[idx].first.second, ip[idx].first.first}, ip[idx].second});
      idx++;
    }
    if (line[i] - (long long int)((Q).size()) - count <= k) continue;
    long long int extra = line[i] - k - (long long int)((Q).size()) - count;
    while (extra--) {
      auto it = pq.top();
      pq.pop();
      Q.insert(it.first.first);
      ans.push_back(it.second);
    }
    while (!Q.empty() and *(Q.begin()) == i) {
      count++;
      Q.erase(Q.begin());
    }
  }
  cout << ans.size() << '\n';
  sort((ans).begin(), (ans).end());
  for (auto it : ans) {
    cout << it << " ";
  }
  cerr << "Time elapsed : " << clock() * 1000.0 / CLOCKS_PER_SEC << "ms"
       << '\n';
}