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 sss {
  long long x, y;
  sss(){};
  sss(long long a, long long b) {
    x = a;
    y = b;
  };
  friend bool operator<(struct sss x, struct sss y) { return x.x < y.x; }
};
long long n, k;
long long a[200005], num;
vector<pair<long long, long long> > mp[200005];
int vis[200005];
priority_queue<struct sss> q;
int main() {
  scanf("%lld%lld", &n, &k);
  int x, y;
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &x, &y);
    vis[x]++;
    vis[y + 1]--;
    mp[x].push_back(make_pair(y, i));
  }
  long long sum = 0;
  for (int i = 1; i <= 200000; i++) {
    sum += vis[i];
    for (int j = 0; j < mp[i].size(); j++) {
      pair<long long, long long> x = mp[i][j];
      q.push(sss(x.first, x.second));
    }
    while (sum > k) {
      struct sss x = q.top();
      q.pop();
      a[num++] = x.y;
      vis[x.x + 1]++;
      sum--;
    }
  }
  sort(a, a + num);
  printf("%lld\n", num);
  for (int i = 0; i < num; i++) {
    printf("%lld ", a[i]);
  }
}