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 zh {
  int l;
  int r;
  int wz;
} a[200005];
bool cmp(zh a, zh b) { return a.l < b.l; }
struct ccmp {
  bool operator()(zh a, zh b) {
    if (a.r == b.r) return a.wz < b.wz;
    return a.r < b.r;
  }
};
int temp[400005];
int tempnum = 0;
int da[400005];
int danum = 0;
int main() {
  int n, k;
  scanf("%d%d", &n, &k);
  int i = 1;
  while (i <= n) {
    scanf("%d%d", &a[i].l, &a[i].r);
    tempnum++;
    temp[tempnum] = a[i].l;
    tempnum++;
    temp[tempnum] = a[i].r;
    a[i].wz = i;
    i++;
  }
  sort(a + 1, a + 1 + n, cmp);
  int ta = 1;
  sort(temp + 1, temp + 1 + tempnum);
  set<zh, ccmp> q;
  i = 1;
  while (i <= tempnum) {
    while (ta <= n && a[ta].l <= temp[i]) {
      q.insert((zh){ta, a[ta].r, a[ta].wz});
      ta++;
    }
    while (!q.empty() && q.begin()->r < temp[i]) {
      if (q.size() == 1) {
        q.clear();
        break;
      }
      q.erase(q.begin());
    }
    while (q.size() > k) {
      danum++;
      da[danum] = q.rbegin()->wz;
      q.erase(*q.rbegin());
    }
    i++;
  }
  cout << danum << endl;
  i = 1;
  while (i <= danum) {
    if (i != 1) printf(" ");
    printf("%d", da[i]);
    i++;
  }
  cout << endl;
  return 0;
}