#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;
template <class T, class U>
inline void add_self(T &a, U b) {
  a += b;
  if (a >= mod) a -= mod;
  if (a < 0) a += mod;
}
template <class T, class U>
inline void min_self(T &x, U y) {
  if (y < x) x = y;
}
template <class T, class U>
inline void max_self(T &x, U y) {
  if (y > x) x = y;
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V>
void _print(T t, V... v) {
  cout << t;
  ;
  if (sizeof...(v)) cerr << ", ";
  _print(v...);
}
template <class T, class U>
void print_m(const map<T, U> &m, int w = 3) {
  if (m.empty()) {
    cout << "Empty" << endl;
    return;
  }
  for (auto x : m) cout << "(" << x.first << ": " << x.second << ")," << endl;
  cout << endl;
}
template <class T, class U>
void debp(const pair<T, U> &pr, bool end_line = 1) {
  cout << "{" << pr.first << " " << pr.second << "}";
  cout << (end_line ? "\n" : ", ");
}
template <class T>
void print_vp(const T &vp, int sep_line = 0) {
  if (vp.empty()) {
    cout << "Empty" << endl;
    return;
  }
  if (!sep_line) cout << "{ ";
  for (auto x : vp) debp(x, sep_line);
  if (!sep_line) cout << "}\n";
  cout << endl;
}
template <typename T>
void print(const T &v, bool show_index = false) {
  int w = 2;
  if (show_index) {
    for (int i = 0; i < int((v).size()); i++) cout << setw(w) << i << " ";
    cout << endl;
  }
  for (auto &el : v) cout << setw(w) << el << " ";
  cout << endl;
}
template <typename T>
void print_vv(const T &vv) {
  if (int((vv).size()) == 0) {
    cout << "Empty" << endl;
    return;
  }
  int w = 3;
  cout << setw(w) << " ";
  for (int j = 0; j < int((*vv.begin()).size()); j++)
    cout << setw(w) << j << " ";
  cout << endl;
  int i = 0;
  for (auto &v : vv) {
    cout << i++ << " {";
    for (auto &el : v) cout << setw(w) << el << " ";
    cout << "},\n";
  }
  cout << endl;
}
const int nax = 2e5 + 10;
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int n, K;
  while (cin >> n >> K) {
    vector<pair<int, int>> segs(n);
    vector<vector<int>> ranges(nax);
    vector<int> cnt(nax);
    for (int i = 0; i < int(n); i++) {
      cin >> segs[i].first >> segs[i].second;
      ++cnt[segs[i].first];
      --cnt[segs[i].second + 1];
      ranges[segs[i].first].push_back(i + 1);
      ranges[segs[i].second + 1].push_back(-(i + 1));
    }
    partial_sum(cnt.begin(), cnt.end(), cnt.begin());
    int curSub = 0;
    vector<int> sub(nax);
    vector<int> ans(n);
    set<pair<int, int>> s;
    for (int i = int(1); i < int(nax); i++) {
      curSub += sub[i];
      for (auto id : ranges[i]) {
        if (id > 0)
          s.insert({segs[id - 1].second, id - 1});
        else {
          auto pos = s.find({segs[-id - 1]});
          if (pos != s.end()) s.erase(pos);
        }
      }
      while (cnt[i] - curSub > K) {
        assert(int((s).size()));
        int pos = s.rbegin()->second;
        s.erase(prev(s.end()));
        ++curSub;
        sub[segs[pos].second + 1]--;
        ans[pos] = 1;
      }
    }
    int tot = accumulate(ans.begin(), ans.end(), 0);
    cout << tot << "\n";
    for (int i = 0; i < int(n); i++) {
      if (ans[i]) cout << i + 1 << " ";
    }
    cout << "\n";
  }
  return 0;
}

### Prompt

Your task is to create a Cpp solution to the following 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 

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;
template <class T, class U>
inline void add_self(T &a, U b) {
  a += b;
  if (a >= mod) a -= mod;
  if (a < 0) a += mod;
}
template <class T, class U>
inline void min_self(T &x, U y) {
  if (y < x) x = y;
}
template <class T, class U>
inline void max_self(T &x, U y) {
  if (y > x) x = y;
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V>
void _print(T t, V... v) {
  cout << t;
  ;
  if (sizeof...(v)) cerr << ", ";
  _print(v...);
}
template <class T, class U>
void print_m(const map<T, U> &m, int w = 3) {
  if (m.empty()) {
    cout << "Empty" << endl;
    return;
  }
  for (auto x : m) cout << "(" << x.first << ": " << x.second << ")," << endl;
  cout << endl;
}
template <class T, class U>
void debp(const pair<T, U> &pr, bool end_line = 1) {
  cout << "{" << pr.first << " " << pr.second << "}";
  cout << (end_line ? "\n" : ", ");
}
template <class T>
void print_vp(const T &vp, int sep_line = 0) {
  if (vp.empty()) {
    cout << "Empty" << endl;
    return;
  }
  if (!sep_line) cout << "{ ";
  for (auto x : vp) debp(x, sep_line);
  if (!sep_line) cout << "}\n";
  cout << endl;
}
template <typename T>
void print(const T &v, bool show_index = false) {
  int w = 2;
  if (show_index) {
    for (int i = 0; i < int((v).size()); i++) cout << setw(w) << i << " ";
    cout << endl;
  }
  for (auto &el : v) cout << setw(w) << el << " ";
  cout << endl;
}
template <typename T>
void print_vv(const T &vv) {
  if (int((vv).size()) == 0) {
    cout << "Empty" << endl;
    return;
  }
  int w = 3;
  cout << setw(w) << " ";
  for (int j = 0; j < int((*vv.begin()).size()); j++)
    cout << setw(w) << j << " ";
  cout << endl;
  int i = 0;
  for (auto &v : vv) {
    cout << i++ << " {";
    for (auto &el : v) cout << setw(w) << el << " ";
    cout << "},\n";
  }
  cout << endl;
}
const int nax = 2e5 + 10;
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int n, K;
  while (cin >> n >> K) {
    vector<pair<int, int>> segs(n);
    vector<vector<int>> ranges(nax);
    vector<int> cnt(nax);
    for (int i = 0; i < int(n); i++) {
      cin >> segs[i].first >> segs[i].second;
      ++cnt[segs[i].first];
      --cnt[segs[i].second + 1];
      ranges[segs[i].first].push_back(i + 1);
      ranges[segs[i].second + 1].push_back(-(i + 1));
    }
    partial_sum(cnt.begin(), cnt.end(), cnt.begin());
    int curSub = 0;
    vector<int> sub(nax);
    vector<int> ans(n);
    set<pair<int, int>> s;
    for (int i = int(1); i < int(nax); i++) {
      curSub += sub[i];
      for (auto id : ranges[i]) {
        if (id > 0)
          s.insert({segs[id - 1].second, id - 1});
        else {
          auto pos = s.find({segs[-id - 1]});
          if (pos != s.end()) s.erase(pos);
        }
      }
      while (cnt[i] - curSub > K) {
        assert(int((s).size()));
        int pos = s.rbegin()->second;
        s.erase(prev(s.end()));
        ++curSub;
        sub[segs[pos].second + 1]--;
        ans[pos] = 1;
      }
    }
    int tot = accumulate(ans.begin(), ans.end(), 0);
    cout << tot << "\n";
    for (int i = 0; i < int(n); i++) {
      if (ans[i]) cout << i + 1 << " ";
    }
    cout << "\n";
  }
  return 0;
}

```