Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

3 4
4 3
4 1
2 2

Sample Output 1

5

You can earn the total reward of 5 by taking the jobs as follows:

Take and complete the first job today. You will earn the reward of 3 after four days from today.

Take and complete the third job tomorrow. You will earn the reward of 2 after two days from tomorrow, that is, after three days from today.

Sample Input 2

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

Sample Output 2

10

Sample Input 3

1 1
2 1

Sample Output 3

0

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;
typedef pair<int,int> pint;

int main()
{
    int N,M; cin>>N>>M;
    vector<pint> v(N);
    for(int i=0;i<N;i++){
        int a,b; cin>>a>>b;
        v[i]={a,b};
    }
    sort(v.begin(),v.end());

    priority_queue<int> Q;
    int ans=0,cur=0;
    for(int cost=1;cost<=M;cost++){
        while(cur<N and v[cur].first<=cost){
            Q.push(v[cur].second);
            cur++;
        }
        if(!Q.empty()){
            ans+=Q.top(); Q.pop();
        }
    }
    cout<<ans<<endl;
    return 0;
}