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 double PI = 3.14159265358979323846264338;
const long long INF = 1000000000000000000;
const long long INF1 = 1000000000;
const long long MOD = 1000000007;
long long mpow(long long a, long long b) {
  a %= MOD;
  if (!b) return 1;
  long long temp = mpow(a, b / 2);
  temp = (temp * temp) % MOD;
  if (b % 2) return (a * temp) % MOD;
  return temp;
}
long long _pow(long long a, long long b) {
  if (!b) return 1;
  long long temp = _pow(a, b / 2);
  temp = (temp * temp);
  if (b % 2) return (a * temp);
  return temp;
}
long long mod_in(long long n) { return mpow(n, MOD - 2); }
long long cl(long long a, long long b) {
  if (a % b) return 1 + a / b;
  return a / b;
}
long long gcd(long long a, long long b) {
  if (b == 0) return a;
  return gcd(b, a % b);
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int T;
  T = 1;
  while (T--) {
    long long n, k;
    cin >> n >> k;
    vector<pair<pair<long long, long long>, long long> > v;
    vector<pair<long long, long long> > a(n);
    for (int i = 0; i < n; i++) {
      long long x, y;
      cin >> x >> y;
      a[i].first = x, a[i].second = y;
      v.push_back({{x, 1}, i}), v.push_back({{y, 2}, i});
    }
    sort((v).begin(), (v).end());
    vector<long long> ans;
    set<pair<long long, long long>, greater<pair<long long, long long> > > st;
    long long m = 2 * n;
    for (long long i = 0; i < m; i++) {
      long long t = st.size();
      if (t > k) {
        auto p = *(st.begin());
        ans.push_back(p.second + 1);
        st.erase(p);
      }
      if (v[i].first.second == 1) {
        st.insert({a[v[i].second].second, v[i].second});
        continue;
      }
      if (st.count({v[i].first.first, v[i].second})) {
        st.erase({v[i].first.first, v[i].second});
      }
    }
    cout << (long long)ans.size() << "\n";
    for (auto x : ans) cout << x << " ";
    cout << "\n";
  }
}