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 N = 1000 * 100 * 3 + 20;
const long long MAX_X = 1000 + 20;
const long long MAX_N = 100 + 20;
const long long MOD = 1000 * 1000 * 1000 + 7;
const long long INF = 1000 * 1000 * 1000 + 1;
void color() { system("color a"); }
long long poww(long long x, long long y) {
  return (!y ? 1 : (y & 1 ? x * poww(x * x, y / 2) : poww(x * x, y / 2)));
}
long long a[N];
long long n, k;
pair<pair<long long, long long>, long long> p[N];
long long M[N];
void add(long long l, long long r) {
  for (long long i = l; i <= r; i++) a[i]++;
}
bool check(long long l, long long r) {
  for (long long i = l; i <= r; i++)
    if (a[i] == k) return 0;
  return 1;
}
signed main() {
  cin >> n >> k;
  for (long long i = 1; i <= n; i++) {
    cin >> p[i].first.second >> p[i].first.first;
    p[i].second = i;
  }
  sort(p + 1, p + n + 1);
  long long res = 0;
  for (long long i = 1; i <= n; i++) {
    long long j = i;
    if (check(p[j].first.second, p[j].first.first)) {
      M[p[j].second] = 1;
      res++;
      add(p[j].first.second, p[j].first.first);
    }
  }
  cout << n - res << endl;
  for (long long i = 1; i <= n; i++)
    if (!M[i]) cout << i << " ";
  return 0;
}