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 Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)

import java.util.ArrayList;
import java.util.Comparator;
import java.util.Scanner;
import java.util.PriorityQueue;

public class Main {
    public static void main(String... args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();

        ArrayList<ArrayList<Integer>> baito = new ArrayList<ArrayList<Integer>>(m) {{
            for (int i = 0; i < m; i++) {
                add(new ArrayList<Integer>() {
                });
            }
        }};
        for (int i = 0; i < n; i++) {
            int a = sc.nextInt();
            int b = sc.nextInt();
            ArrayList<Integer> tmp = baito.get(a - 1);
            tmp.add(b);
        }

        int tot= 0;
        PriorityQueue<Integer> pq = new PriorityQueue<>(new MyComparator());
        for (int i = 0; i < m; i++) {
            pq.addAll(baito.get(i));

            if(!pq.isEmpty()) tot+= pq.poll();
        }
        System.out.println(pq.toString());
        System.out.println(tot);
    }

    static class MyComparator implements Comparator<Integer> {
        @Override
        public int compare(Integer i, Integer j){ return j-i; }
    }
}