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;
struct segment {
  int left_point, right_point;
  int index;
};
bool operator>(const segment& lhs, const segment& rhs) {
  return lhs.right_point > rhs.right_point;
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, max_segments;
  cin >> n >> max_segments;
  vector<segment> segments = vector<segment>(n);
  for (size_t i = 0; i < n; i++) {
    cin >> segments[i].left_point >> segments[i].right_point;
    segments[i].index = i + 1;
  }
  sort(segments.begin(), segments.end(),
       [](const segment& lhs, const segment& rhs) {
         return lhs.left_point < rhs.left_point;
       });
  int current_point_segments = 0;
  vector<int> segments_to_remove;
  int segments_it = 0;
  multiset<segment, greater<segment>> previous_segments;
  for (int current_x = segments.front().left_point;
       current_x <= segments.back().right_point; current_x++) {
    while (!previous_segments.empty() &&
           (--previous_segments.end())->right_point < current_x)
      previous_segments.erase(--previous_segments.end());
    while (segments_it < segments.size() &&
           segments[segments_it].left_point <= current_x) {
      previous_segments.insert(segments[segments_it]);
      segments_it++;
    }
    while (previous_segments.size() > max_segments) {
      segments_to_remove.push_back(previous_segments.begin()->index);
      previous_segments.erase(previous_segments.begin());
    }
  }
  cout << segments_to_remove.size() << "\n";
  for (int index : segments_to_remove) cout << index << " ";
  cout << "\n";
  return 0;
}