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 int maxn = 2e5 + 10;
struct node {
  int l, r;
  int id;
  friend bool operator<(node A, node B) { return A.r < B.r; }
};
priority_queue<node> Q;
vector<node> be[maxn], en[maxn];
int n, k;
int vis[maxn], go[maxn];
node now;
int mi = 2e5 + 10, ma, cnt, res;
void init() {
  scanf("%d%d", &n, &k);
  for (int i = 1; i <= n; ++i) {
    scanf("%d%d", &now.l, &now.r);
    if (now.l < mi) mi = now.l;
    if (now.r + 1 > ma) ma = now.r + 1;
    now.id = i;
    be[now.l].push_back(now);
    en[now.r + 1].push_back(now);
  }
}
void solve() {
  for (int i = mi; i <= ma; ++i) {
    for (int j = 0; j < be[i].size(); ++j) {
      ++cnt;
      Q.push(be[i][j]);
    }
    for (int j = 0; j < en[i].size(); ++j) {
      go[en[i][j].id] = 1;
      if (vis[en[i][j].id] == 0) {
        --cnt;
      }
    }
    while (cnt > k) {
      now = Q.top();
      Q.pop();
      if (go[now.id]) continue;
      vis[now.id] = 1;
      ++res;
      --cnt;
    }
  }
}
void output() {
  printf("%d\n", res);
  for (int i = 1; i <= n; ++i)
    if (vis[i]) printf("%d ", i);
  printf("\n");
}
int main() {
  init();
  solve();
  output();
  return 0;
}