Problem: There are N one-off jobs available. If you take the i-th job and complete it, you will earn the reward of B_i after A_i days from the day you do it.

You can take and complete at most one of these jobs in a day.

However, you cannot retake a job that you have already done.

Find the maximum total reward that you can earn no later than M days from today.

You can already start working today.

Constraints

* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq A_i \leq 10^5
* 1 \leq B_i \leq 10^4

Input

Input is given from Standard Input in the following format:


N M
A_1 B_1
A_2 B_2
\vdots
A_N B_N


Output

Print the maximum total reward that you can earn no later than M days from today.

Examples

Input

3 4
4 3
4 1
2 2


Output

5


Input

5 3
1 2
1 3
1 4
2 1
2 3


Output

10


Input

1 1
2 1


Output

0

Solution (in CPP):

Solution:
#include <iostream>
#include <queue>
using namespace std;

int main() {
  int N, K; cin >> N >> K; int aa, bb;
  priority_queue<int> p;
  vector<int> a[100001];
  for(int i=0; i<N; i++) {
    cin >> aa >> bb;
    a[aa].push_back(bb);
  }
  
  int ans = 0;
  
  for(int i=K-1; i>=0; i--) {
    for(int x:a[K-i]) p.push(x);
    if (p.empty()) continue;
    ans += p.top();
    //cout << p.top() << endl;
    p.pop();
  }
  
  cout << ans << endl;
}