#include <bits/stdc++.h>
using namespace std;
const long long int INF = 9223372036854775807;
const long long int mod = (long long int)1e9 + 7;
int MOD(int a, int b) {
  if (a > b)
    return a - b;
  else
    return b - a;
}
long long int max3(long long int a, long long int b, long long int c) {
  return max(c, max(a, b));
}
long long int min3(long long int a, long long int b, long long int c) {
  return min(a, min(b, c));
}
long long int power(long long int x, long long int y, long long int mod1) {
  long long int res = 1;
  while (y > 0) {
    if (y & 1) res = (res * x) % mod1;
    y = y >> 1;
    x = (x * x) % mod1;
  }
  return res;
}
long long int logg(long long int a) {
  long long int x = 0;
  while (a > 1) {
    x++;
    a /= 2;
  }
  return x;
}
long long int gcd(long long int a, long long int b) {
  if (a == 0) return b;
  return gcd(b % a, a);
}
long long int abso(long long int x) {
  if (x < 0) {
    return -x;
  }
  return x;
}
long long int ceiling(long long int a, long long int b) {
  if (a % b == 0) {
    return a / b;
  } else {
    return a / b + 1;
  }
}
long long int modinv(long long int x, long long int p) {
  return power(x, p - 2, p);
}
int main() {
  int n, k;
  cin >> n >> k;
  int MX = 200000;
  vector<vector<pair<int, pair<int, int>>>> c(MX + 1);
  for (int i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    c[l].push_back(make_pair(r, make_pair(1, i)));
    c[r].push_back(make_pair(r, make_pair(-1, i)));
  }
  int cur = 0;
  vector<int> ans;
  set<pair<int, pair<int, int>>> g;
  for (int i = 1; i <= MX; i++) {
    for (int k = 0; k < c[i].size(); k++) {
      if (c[i][k].second.first == 1) {
        g.insert(c[i][k]);
      }
    }
    while (g.size() > k) {
      ans.push_back((*g.rbegin()).second.second);
      g.erase(*g.rbegin());
    }
    for (int k = 0; k < c[i].size(); k++) {
      if (c[i][k].second.first == -1) {
        g.erase(make_pair(c[i][k].first, make_pair(1, c[i][k].second.second)));
      }
    }
  }
  cout << ans.size() << endl;
  for (int i = 0; i < ans.size(); i++) {
    cout << ans[i] + 1 << ' ';
  }
  cout << endl;
}

### Prompt

Construct a Cpp code solution to the problem outlined:

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 long long int INF = 9223372036854775807;
const long long int mod = (long long int)1e9 + 7;
int MOD(int a, int b) {
  if (a > b)
    return a - b;
  else
    return b - a;
}
long long int max3(long long int a, long long int b, long long int c) {
  return max(c, max(a, b));
}
long long int min3(long long int a, long long int b, long long int c) {
  return min(a, min(b, c));
}
long long int power(long long int x, long long int y, long long int mod1) {
  long long int res = 1;
  while (y > 0) {
    if (y & 1) res = (res * x) % mod1;
    y = y >> 1;
    x = (x * x) % mod1;
  }
  return res;
}
long long int logg(long long int a) {
  long long int x = 0;
  while (a > 1) {
    x++;
    a /= 2;
  }
  return x;
}
long long int gcd(long long int a, long long int b) {
  if (a == 0) return b;
  return gcd(b % a, a);
}
long long int abso(long long int x) {
  if (x < 0) {
    return -x;
  }
  return x;
}
long long int ceiling(long long int a, long long int b) {
  if (a % b == 0) {
    return a / b;
  } else {
    return a / b + 1;
  }
}
long long int modinv(long long int x, long long int p) {
  return power(x, p - 2, p);
}
int main() {
  int n, k;
  cin >> n >> k;
  int MX = 200000;
  vector<vector<pair<int, pair<int, int>>>> c(MX + 1);
  for (int i = 0; i < n; i++) {
    int l, r;
    cin >> l >> r;
    c[l].push_back(make_pair(r, make_pair(1, i)));
    c[r].push_back(make_pair(r, make_pair(-1, i)));
  }
  int cur = 0;
  vector<int> ans;
  set<pair<int, pair<int, int>>> g;
  for (int i = 1; i <= MX; i++) {
    for (int k = 0; k < c[i].size(); k++) {
      if (c[i][k].second.first == 1) {
        g.insert(c[i][k]);
      }
    }
    while (g.size() > k) {
      ans.push_back((*g.rbegin()).second.second);
      g.erase(*g.rbegin());
    }
    for (int k = 0; k < c[i].size(); k++) {
      if (c[i][k].second.first == -1) {
        g.erase(make_pair(c[i][k].first, make_pair(1, c[i][k].second.second)));
      }
    }
  }
  cout << ans.size() << endl;
  for (int i = 0; i < ans.size(); i++) {
    cout << ans[i] + 1 << ' ';
  }
  cout << endl;
}

```