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;
template <class T>
using v2d = vector<vector<T> >;
template <class T>
bool uin(T &a, T b) {
  return a > b ? (a = b, true) : false;
}
template <class T>
bool uax(T &a, T b) {
  return a < b ? (a = b, true) : false;
}
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
const int maxN = 2e5 + 1;
int n, k;
int l[maxN], r[maxN];
vector<int> ps[maxN];
vector<int> rm[maxN];
set<pair<int, int> > st;
vector<int> res;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> n >> k;
  for (int i = 1; i <= (int)(n); ++i) {
    cin >> l[i] >> r[i];
    ps[l[i]].emplace_back(i);
    rm[r[i]].emplace_back(i);
  }
  for (int i = 1; i <= (int)(2e5); ++i) {
    for (auto &p : ps[i]) {
      st.emplace(-r[p], p);
    }
    while ((int)st.size() > k) {
      res.emplace_back(st.begin()->second);
      st.erase(st.begin());
    }
    for (auto &p : rm[i]) {
      if (st.count({-r[p], p})) {
        st.erase({-r[p], p});
      }
    }
  }
  cout << (int)res.size() << '\n';
  for (auto &r : res) {
    cout << r << ' ';
  }
  return 0;
}