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: Time Limit Exceeded)

import java.util.*;

class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = Integer.parseInt(sc.next());
		int M = Integer.parseInt(sc.next());
		Comparator<Work> comparator = new Comparator<Work>() {
		    @Override
		    public int compare(Work o1, Work o2) {
		        return Integer.compare(o2.B, o1.B);
		    }
		};
		PriorityQueue<Work> queue = new PriorityQueue<Work>(comparator);
		for (int i=0;i<N;i++) {
			int A = Integer.parseInt(sc.next());
			int B = Integer.parseInt(sc.next());
			queue.add(new Work(A, B));
		}

		int ans = 0;
		int[] flag = new int[M];
		while(!queue.isEmpty()) {
			Work rem = queue.remove();
			int A = rem.A;
			int B = rem.B;
			for (int i=M-A;i>=0;i--) {
				if (flag[i]==1) {
					continue;
				} else {
					flag[i]=1;
					ans+=B;
					break;
				}
			}
		}
		System.out.println(ans);
	}
}

class Work {
	public int A;
	public int B;

	Work(int A, int B) {
		this.A = A;
		this.B = B;
	}
}