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>
#pragma comment(linker, "/stack:640000000")
using namespace std;
const double EPS = 1e-9;
const int INF = 0x7f7f7f7f;
const double PI = acos(-1.0);
template <class T>
inline T gcd(T a, T b) {
  return (b) == 0 ? (a) : gcd((b), ((a) % (b)));
}
template <class T>
inline T lcm(T a, T b) {
  return ((a) / gcd((a), (b)) * (b));
}
template <typename T>
string NumberToString(T Number) {
  ostringstream second;
  second << Number;
  return second.str();
}
struct debugger {
  template <typename T>
  debugger& operator,(const T& v) {
    cerr << v << " ";
    return *this;
  }
} dbg;
int t, n, m;
string s;
pair<int, int> arr[200005];
vector<pair<int, pair<int, int> > > v;
set<int> st;
set<pair<int, int> > open;
int main() {
  while (~scanf("%d%d", &n, &m)) {
    v.clear();
    st.clear();
    for (int i = 1; i <= (n); i++) scanf("%d%d", &arr[i].first, &arr[i].second);
    for (int i = 1; i <= (n); i++) v.push_back({arr[i].first, {-1, i}});
    for (int i = 1; i <= (n); i++) v.push_back({arr[i].second, {1, i}});
    sort(v.begin(), v.end());
    int cur = 0;
    for (int i = 0; i < (v.size()); i++) {
      auto data = v[i];
      int jog = -1 * data.second.first;
      int ind = data.second.second;
      if (jog == -1) {
        if (st.count(ind)) jog = 0;
        open.erase({-data.first, ind});
      } else {
        open.insert({-arr[ind].second, ind});
      }
      cur += jog;
      while (cur > m) {
        auto x = *open.begin();
        open.erase(open.begin());
        cur--;
        st.insert(x.second);
      }
    }
    printf("%d\n", st.size());
    if (!st.empty()) {
      for (auto x : st) printf("%d ", x);
      puts("");
    }
  }
  return 0;
}