#include <bits/stdc++.h>
using namespace std;
bool isPrime(long long n) {
  long long i;
  for (long long i = 2; i < sqrt(n); i++)
    if (n % i == 0) return false;
  return true;
}
long long power(long long x, long long y, long long p) {
  long long res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
void fact(long long fac[], long long n, long long p) {
  fac[0] = 1;
  for (long long i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % p;
}
void buildBIT(long long BIT[], long long arr[], long long n) {
  for (long long i = 0; i < n + 1; i++) BIT[i] = 0;
  for (long long i = 0; i < n; i++) {
    long long x = i + 1;
    while (x <= n) {
      BIT[x] += arr[i];
      x = x + (x & (-x));
    }
  }
}
long long getSum(long long BITree[], long long index) {
  long long sum = 0;
  index = index + 1;
  while (index > 0) {
    sum += BITree[index];
    index -= index & (-index);
  }
  return sum;
}
void updateBIT(long long BITree[], long long n, long long index,
               long long val) {
  index = index + 1;
  while (index <= n) {
    BITree[index] += val;
    index += index & (-index);
  }
}
vector<unsigned long long> allPrimes;
void sieve(unsigned long long n) {
  vector<bool> prime(n + 1, true);
  for (unsigned long long p = 2; p * p <= n; p++) {
    if (prime[p] == true) {
      for (unsigned long long i = p * 2; i <= n; i += p) prime[i] = false;
    }
  }
  for (unsigned long long p = 2; p <= n; p++)
    if (prime[p]) allPrimes.push_back(p);
}
long long arr[200005];
long long vis[200005];
long long ans[200005];
void dfs(long long v, long long &cnt) {
  if (vis[v]) return;
  vis[v] = 1;
  cnt++;
  dfs(arr[v], cnt);
  ans[v] = cnt;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  long long n, k;
  cin >> n >> k;
  set<pair<pair<long long, long long>, long long> > arr[205];
  long long l, r;
  for (long long i = 0; i < n; i++) {
    cin >> l >> r;
    for (long long j = l; j < r + 1; j++) arr[j].insert({{r, l}, i + 1});
  }
  vector<long long> ans;
  for (long long i = 1; i < 201; i++) {
    long long t = arr[i].size();
    while (t > k) {
      pair<pair<long long, long long>, long long> p = *arr[i].rbegin();
      ans.push_back(p.second);
      l = p.first.second, r = p.first.first;
      for (long long j = l; j < r + 1; j++) arr[j].erase(p);
      t--;
    }
  }
  long long sz = ans.size();
  cout << sz << "\n";
  for (long long i = 0; i < sz; i++) cout << ans[i] << " ";
}

### Prompt

Create a solution in cpp for 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;
bool isPrime(long long n) {
  long long i;
  for (long long i = 2; i < sqrt(n); i++)
    if (n % i == 0) return false;
  return true;
}
long long power(long long x, long long y, long long p) {
  long long res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
void fact(long long fac[], long long n, long long p) {
  fac[0] = 1;
  for (long long i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % p;
}
void buildBIT(long long BIT[], long long arr[], long long n) {
  for (long long i = 0; i < n + 1; i++) BIT[i] = 0;
  for (long long i = 0; i < n; i++) {
    long long x = i + 1;
    while (x <= n) {
      BIT[x] += arr[i];
      x = x + (x & (-x));
    }
  }
}
long long getSum(long long BITree[], long long index) {
  long long sum = 0;
  index = index + 1;
  while (index > 0) {
    sum += BITree[index];
    index -= index & (-index);
  }
  return sum;
}
void updateBIT(long long BITree[], long long n, long long index,
               long long val) {
  index = index + 1;
  while (index <= n) {
    BITree[index] += val;
    index += index & (-index);
  }
}
vector<unsigned long long> allPrimes;
void sieve(unsigned long long n) {
  vector<bool> prime(n + 1, true);
  for (unsigned long long p = 2; p * p <= n; p++) {
    if (prime[p] == true) {
      for (unsigned long long i = p * 2; i <= n; i += p) prime[i] = false;
    }
  }
  for (unsigned long long p = 2; p <= n; p++)
    if (prime[p]) allPrimes.push_back(p);
}
long long arr[200005];
long long vis[200005];
long long ans[200005];
void dfs(long long v, long long &cnt) {
  if (vis[v]) return;
  vis[v] = 1;
  cnt++;
  dfs(arr[v], cnt);
  ans[v] = cnt;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  long long n, k;
  cin >> n >> k;
  set<pair<pair<long long, long long>, long long> > arr[205];
  long long l, r;
  for (long long i = 0; i < n; i++) {
    cin >> l >> r;
    for (long long j = l; j < r + 1; j++) arr[j].insert({{r, l}, i + 1});
  }
  vector<long long> ans;
  for (long long i = 1; i < 201; i++) {
    long long t = arr[i].size();
    while (t > k) {
      pair<pair<long long, long long>, long long> p = *arr[i].rbegin();
      ans.push_back(p.second);
      l = p.first.second, r = p.first.first;
      for (long long j = l; j < r + 1; j++) arr[j].erase(p);
      t--;
    }
  }
  long long sz = ans.size();
  cout << sz << "\n";
  for (long long i = 0; i < sz; i++) cout << ans[i] << " ";
}

```