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;
array<long long int, 3> arr[500000];
vector<long long int> usd;
bool came[300000];
map<long long int, long long int> ma;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  ;
  long long int cur, TESTS, q, n, a, s, b, m, r, c, p, k, w, d, x, i, j, y, z,
      xs, ys, t;
  TESTS = 1;
  while (TESTS--) {
    cin >> n >> k;
    for (i = 0; i <= 2 * n - 1; i += 2) {
      cin >> arr[i][0];
      arr[i][1] = 0;
      arr[i][2] = i / 2;
      cin >> arr[i + 1][0];
      arr[i + 1][1] = 1;
      arr[i + 1][2] = i / 2;
      ma[i / 2] = arr[i + 1][0];
    }
    long long int ans = 0;
    priority_queue<pair<long long int, long long int> > pq;
    sort(arr, arr + 2 * n);
    long long int cur = 0;
    for (long long int i = 0; i <= 2 * n - 1; i++) {
      if (arr[i][1]) {
        if (!came[arr[i][2]]) cur--;
        came[arr[i][2]] = true;
      } else {
        cur++;
        pq.push(make_pair(ma[arr[i][2]], arr[i][2]));
      }
      while (cur > k) {
        pair<long long int, long long int> up = pq.top();
        while (came[up.second]) {
          pq.pop();
          up = pq.top();
        }
        usd.push_back(up.second);
        came[up.second] = true;
        pq.pop();
        cur--;
      }
    }
    if (usd.empty())
      cout << 0;
    else {
      cout << usd.size() << "\n";
      for (long long int i = 0; i <= usd.size() - 1; i++)
        cout << usd[i] + 1 << " ";
    }
  }
  return 0;
}