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>
const int maxn = 2e5 + 10;
using namespace std;
int n, k;
struct node {
  int l, r, id;
  bool operator<(const node b) const { return r > b.r; }
} x[maxn];
multiset<node> s;
multiset<node> ans;
bool cmp(const node a, const node b) { return a.l < b.l; }
long long read() {
  long long x = 0, f = 1;
  char ch;
  do {
    ch = getchar();
    if (ch == '-') f = -1;
  } while (ch < '0' || ch > '9');
  do {
    x = x * 10 + ch - 48;
    ch = getchar();
  } while (ch >= '0' && ch <= '9');
  return x * f;
}
int main() {
  n = read(), k = read();
  for (int i = 1; i <= n; i++) {
    x[i].l = read(), x[i].r = read();
    x[i].id = i;
  }
  int i = 1;
  sort(x + 1, x + 1 + n, cmp);
  set<node>::iterator it;
  for (int pos = 1; pos <= maxn - 10; pos++) {
    while (i <= n && x[i].l == pos) s.insert(x[i++]);
    it = s.end();
    if (it != s.begin()) it--;
    while (s.size() && (*it).r < pos) {
      s.erase(it), it = s.end();
      if (it != s.begin())
        it--;
      else
        break;
    }
    it = s.begin();
    while (s.size() > k && it != s.end()) ans.insert(*it), s.erase(it++);
  }
  printf("%u\n", ans.size());
  it = ans.begin();
  while (it != ans.end()) {
    printf("%d ", (*it).id);
    it++;
  }
  return 0;
}