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;
long long power(long long x, long long y, long long md = 1000000007) {
  long long res = 1;
  x %= md;
  while (y > 0) {
    if (y & 1) res = (res * x) % md;
    x = (x * x) % md;
    y = y >> 1;
  }
  return res % md;
}
long long max1(long long a, long long b, long long c = -1000000000000000000LL,
               long long d = -1000000000000000000LL) {
  long long mx1 = (a > b) ? a : b, mx2 = (c > d) ? c : d;
  return ((mx1 > mx2) ? mx1 : mx2);
}
long long fen[200005];
long long query(long long index) {
  index++;
  long long ans = 0;
  while (index > 0) {
    ans += fen[index];
    index -= (index) & (-index);
  }
  return ans;
}
void update(long long index, long long val) {
  index++;
  while (index < 200005) {
    fen[index] += val;
    index += (index) & (-index);
  }
}
signed main() {
  long long n, k;
  cin >> n >> k;
  vector<pair<pair<long long, long long>, long long> > vv;
  for (long long i = 0; i < n; i++) {
    long long l, r;
    cin >> l >> r;
    vv.push_back({{l, r}, i});
    update(l, 1);
    update(r + 1, -1);
  }
  sort(vv.begin(), vv.end());
  long long p = 0;
  set<pair<long long, long long> > st;
  std::vector<long long> ans;
  for (long long i = 1; i <= 200000; i++) {
    while (p < n && vv[p].first.first == i) {
      st.insert({vv[p].first.second, vv[p].second});
      p++;
    }
    long long q = query(i);
    if (q <= k) continue;
    long long del = q - k;
    for (long long j = 0; j < del; j++) {
      assert(st.size());
      auto it = std::prev(st.end());
      update(i, -1);
      update((*it).first + 1, 1);
      ans.push_back((*it).second);
      st.erase(it);
    }
  }
  cout << ans.size() << endl;
  for (long long i = 0; i < ans.size(); i++) cout << ans[i] + 1 << " ";
}