#include <bits/stdc++.h>
using namespace std;
const int MAXN = 200100;
struct seg {
  seg *fe, *fd;
  int l, r, meio, mex, lazy;
  seg(int x, int y) {
    l = x, r = y;
    meio = (x + y) / 2;
    mex = lazy = 0;
    if (l == r) return;
    fe = new seg(x, meio);
    fd = new seg(meio + 1, y);
  }
  void lazyup() {
    if (lazy == 0) return;
    mex += lazy;
    if (l != r) fe->lazy += lazy, fd->lazy += lazy;
    lazy = 0;
  }
  void up(int a, int b) {
    lazyup();
    if (l >= a && r <= b) {
      lazy += 1;
      lazyup();
      return;
    }
    if (l > b || r < a) return;
    fe->up(a, b), fd->up(a, b);
    mex = max(fe->mex, fd->mex);
  }
  int get(int a, int b) {
    lazyup();
    if (l >= a && r <= b) return mex;
    if (l > b || r < a) return 0;
    return max(fe->get(a, b), fd->get(a, b));
  }
};
seg st(1, MAXN);
struct str {
  int first, second, id;
};
str p[MAXN];
bool comp(str a, str b) { return a.second < b.second; }
signed main() {
  int n, k;
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    cin >> p[i].first >> p[i].second;
    p[i].id = i;
  }
  sort(p + 1, p + n + 1, comp);
  vector<int> vec;
  for (int i = 1; i <= n; i++) {
    int h = st.get(p[i].first, p[i].second);
    if (h == k)
      vec.push_back(p[i].id);
    else
      st.up(p[i].first, p[i].second);
  }
  cout << vec.size() << endl;
  for (int i = 0; i < vec.size(); i++) cout << vec[i] << " ";
}

### 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 MAXN = 200100;
struct seg {
  seg *fe, *fd;
  int l, r, meio, mex, lazy;
  seg(int x, int y) {
    l = x, r = y;
    meio = (x + y) / 2;
    mex = lazy = 0;
    if (l == r) return;
    fe = new seg(x, meio);
    fd = new seg(meio + 1, y);
  }
  void lazyup() {
    if (lazy == 0) return;
    mex += lazy;
    if (l != r) fe->lazy += lazy, fd->lazy += lazy;
    lazy = 0;
  }
  void up(int a, int b) {
    lazyup();
    if (l >= a && r <= b) {
      lazy += 1;
      lazyup();
      return;
    }
    if (l > b || r < a) return;
    fe->up(a, b), fd->up(a, b);
    mex = max(fe->mex, fd->mex);
  }
  int get(int a, int b) {
    lazyup();
    if (l >= a && r <= b) return mex;
    if (l > b || r < a) return 0;
    return max(fe->get(a, b), fd->get(a, b));
  }
};
seg st(1, MAXN);
struct str {
  int first, second, id;
};
str p[MAXN];
bool comp(str a, str b) { return a.second < b.second; }
signed main() {
  int n, k;
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    cin >> p[i].first >> p[i].second;
    p[i].id = i;
  }
  sort(p + 1, p + n + 1, comp);
  vector<int> vec;
  for (int i = 1; i <= n; i++) {
    int h = st.get(p[i].first, p[i].second);
    if (h == k)
      vec.push_back(p[i].id);
    else
      st.up(p[i].first, p[i].second);
  }
  cout << vec.size() << endl;
  for (int i = 0; i < vec.size(); i++) cout << vec[i] << " ";
}

```