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 mxn = 200010, mx = 200000;
int n, k;
struct po {
  int l, r, id;
  bool operator<(const po& b) const { return r < b.r; }
};
int l[mxn], r[mxn];
bool cmpl(int x, int y) { return l[x] < l[y]; }
bool cmpr(int x, int y) { return r[x] < r[y]; }
int a[mxn], b[mxn];
bool del[mxn];
priority_queue<po> q;
int ans[mxn], t = 0;
int main() {
  scanf("%d%d", &n, &k);
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &l[i], &r[i]);
    a[i] = b[i] = i;
  }
  sort(a + 1, a + 1 + n, cmpl);
  sort(b + 1, b + 1 + n, cmpr);
  int pl = 1, pr = 1, nw = 0;
  for (int i = 1; i <= mx; i++) {
    for (; pl <= n && l[a[pl]] == i; pl++) {
      nw++;
      q.push((po){l[a[pl]], r[a[pl]], a[pl]});
    }
    while (nw > k) {
      po p = q.top();
      q.pop();
      if (p.r >= i) {
        nw--;
        del[p.id] = 1;
        ans[++t] = p.id;
      }
    }
    for (; pr <= n && r[b[pr]] == i; pr++) {
      if (del[b[pr]]) continue;
      nw--;
    }
  }
  printf("%d\n", t);
  for (int i = 1; i <= t; i++) printf("%d ", ans[i]);
  printf("\n");
  return 0;
}