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;
template <class c>
struct rge {
  c b, e;
};
template <class c>
rge<c> range(c i, c j) {
  return rge<c>{i, j};
}
template <class c>
auto dud(c* x) -> decltype(cerr << *x, 0);
template <class c>
char dud(...);
struct debug {
  template <class c>
  debug& operator<<(const c&) {
    return *this;
  }
};
vector<char*> tokenizer(const char* args) {
  char* token = new char[111];
  strcpy(token, args);
  token = strtok(token, ", ");
  vector<char*> v({token});
  while (token = strtok(NULL, ", ")) v.push_back(token);
  return reverse(v.begin(), v.end()), v;
}
void debugg(vector<char*> args) { cerr << "\b\b "; }
template <typename Head, typename... Tail>
void debugg(vector<char*> args, Head H, Tail... T) {
  debug() << " [" << args.back() << ": " << H << "] ";
  args.pop_back();
  debugg(args, T...);
}
long long mod = 1e9 + 7;
const int MX = 0x3f3f3f3f;
int N = 2e5 + 2;
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int k, n;
  cin >> n >> k;
  int i;
  vector<pair<int, int> > vp(n);
  vector<int> a(N);
  vector<vector<int> > en(N);
  for (i = 0; i <= n - 1; i++) {
    cin >> vp[i].first >> vp[i].second;
    en[vp[i].first].emplace_back(i + 1);
    en[vp[i].second + 1].emplace_back(-i - 1);
    a[vp[i].first]++;
    a[vp[i].second + 1]--;
  }
  for (i = 1; i <= N - 1; i++) a[i] += a[i - 1];
  vector<int> r(N);
  int temp = 0;
  vector<int> ans;
  set<pair<int, int> > s;
  for (i = 1; i <= N - 1; i++) {
    temp += r[i];
    for (auto u : en[i]) {
      if (u > 0) {
        s.insert(make_pair(vp[u - 1].second, u - 1));
      } else {
        if (s.find(make_pair(vp[-u - 1].second, -u - 1)) != s.end())
          s.erase(make_pair(vp[-u - 1].second, -u - 1));
      }
    }
    while (a[i] - temp > k) {
      auto it = s.rbegin();
      int pos = it->second;
      ans.emplace_back(it->second + 1);
      r[vp[pos].second + 1]--;
      s.erase(prev(s.end()));
      temp++;
    }
  }
  cout << ans.size() << "\n";
  for (auto u : ans) cout << u << " ";
  return 0;
}