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;
int arr[200005], tree[4 * 200005], lazy[4 * 200005];
struct info {
  int l, r, i;
};
vector<info> vec;
bool comp(info a, info b) {
  if (a.r != b.r) return a.r < b.r;
  return a.l < b.l;
}
void update(int node, int a, int b, int i, int j, int value) {
  if (lazy[node] != 0) {
    tree[node] += lazy[node];
    if (a != b) {
      lazy[node * 2] += lazy[node];
      lazy[node * 2 + 1] += lazy[node];
    }
    lazy[node] = 0;
  }
  if (a > b || a > j || b < i) return;
  if (a >= i && b <= j) {
    tree[node] += value;
    if (a != b) {
      lazy[node * 2] += value;
      lazy[node * 2 + 1] += value;
    }
    return;
  }
  int mid = (a + b) / 2;
  update(node * 2, a, mid, i, j, value);
  update(1 + node * 2, 1 + mid, b, i, j, value);
  tree[node] = max(tree[node * 2], tree[node * 2 + 1]);
}
int query(int node, int a, int b, int i, int j) {
  if (a > b || a > j || b < i) return 0;
  if (lazy[node] != 0) {
    tree[node] += lazy[node];
    if (a != b) {
      lazy[node * 2] += lazy[node];
      lazy[node * 2 + 1] += lazy[node];
    }
    lazy[node] = 0;
  }
  if (a >= i && b <= j) return tree[node];
  int mid = (a + b) / 2;
  int q1 = query(node * 2, a, mid, i, j);
  int q2 = query(1 + node * 2, 1 + mid, b, i, j);
  int res = max(q1, q2);
  return res;
}
int main() {
  int i, n, k, a, b, mx = -1;
  scanf("%d %d", &n, &k);
  for (i = 0; i < n; i++) {
    scanf("%d %d", &a, &b);
    mx = max(mx, b);
    vec.push_back({a, b, i + 1});
  }
  sort((vec).begin(), (vec).end(), comp);
  queue<int> q;
  for (i = 0; i < n; i++) {
    int l = vec[i].l, r = vec[i].r;
    int mxv = query(1, 0, mx - 1, l - 1, r - 1);
    if (mxv < k)
      update(1, 0, mx - 1, l - 1, r - 1, 1);
    else
      q.push(vec[i].i);
  }
  printf("%d\n", q.size());
  while (!q.empty()) {
    printf("%d ", q.front());
    q.pop();
  }
}