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;
inline int read() {
  int X = 0, w = 0;
  char ch = 0;
  while (!isdigit(ch)) {
    w |= ch == '-';
    ch = getchar();
  }
  while (isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar();
  return w ? -X : X;
}
const int maxn = 2e5 + 10;
struct node {
  int l, r, id;
  node(int a = 0, int b = 0, int c = 0) {
    l = a;
    r = b;
    id = c;
  }
};
bool operator<(node a, node b) { return a.r < b.r; }
int vis[maxn];
vector<node> G[maxn];
queue<int> ans;
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int n, k;
  cin >> n >> k;
  int xr = 0;
  for (int i = 1; i <= n; ++i) {
    int l, r;
    cin >> l >> r;
    G[l].push_back({l, r, i});
    xr = max(xr, r);
    vis[l]++;
    vis[r + 1]--;
  }
  priority_queue<node> q;
  long long sum = 0;
  for (int i = 1; i <= xr; ++i) {
    sum += vis[i];
    for (auto v : G[i]) q.push(v);
    while (sum > k) {
      if (!q.empty()) {
        node now = q.top();
        q.pop();
        ans.push(now.id);
        vis[now.r + 1]++;
        sum--;
      }
    }
  }
  cout << ans.size() << endl;
  while (!ans.empty()) {
    int now = ans.front();
    ans.pop();
    cout << now << " ";
  }
  return 0;
}