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 long long INF = 1e18;
const double PI = acos(-1);
long long mod = 1e9 + 7;
struct segment {
  long long l, r;
  bool operator<(const segment& s) const {
    if (r != s.r) return r > s.r;
    return l < s.l;
  }
};
const long long MAXN = 2e5 + 7;
vector<segment> vs(MAXN);
vector<long long> sum(MAXN, 0), sub(MAXN, 0), ans(MAXN, 0);
vector<vector<long long>> vv(MAXN);
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  long long n, k, l, r;
  cin >> n >> k;
  long long m = 1;
  for (long long i = 0; i < n; i++) {
    cin >> vs[i].l >> vs[i].r;
    m = max(m, vs[i].r);
    sum[vs[i].l]++;
    sum[vs[i].r + 1]--;
    vv[vs[i].l].push_back(i + 1);
    vv[vs[i].r + 1].push_back(-i - 1);
  }
  for (long long i = 1; i <= m; i++) sum[i] += sum[i - 1];
  set<pair<segment, long long>> s;
  long long cntSub = 0;
  long long cnt = 0;
  for (long long i = 1; i <= m; i++) {
    for (long long& idx : vv[i]) {
      if (idx > 0) {
        s.insert({vs[idx - 1], idx});
      } else {
        idx *= -1;
        s.erase({vs[idx - 1], idx});
      }
    }
    cntSub += sub[i];
    while (sum[i] - cntSub > k) {
      auto it = *s.begin();
      cntSub++;
      s.erase(it);
      sub[it.first.r + 1]--;
      ans[it.second] = 1;
      cnt++;
    }
  }
  cout << cnt << "\n";
  for (long long i = 1; i <= n; i++)
    if (ans[i]) cout << i << " ";
  cout << "\n";
  return 0;
}