Problem: Notes

Template in C

Constraints

* 1 ≤ n ≤ 100000
* 1 ≤ q ≤ 1000
* 1 ≤ timei ≤ 50000
* 1 ≤ length of namei ≤ 10
* 1 ≤ Sum of timei ≤ 1000000

Input

n q
name1 time1
name2 time2
...
namen timen


In the first line the number of processes n and the quantum q are given separated by a single space.

In the following n lines, names and times for the n processes are given. namei and timei are separated by a single space.

Output

For each process, prints its name and the time the process finished in order.

Example

Input

5 100
p1 150
p2 80
p3 200
p4 350
p5 20


Output

p2 180
p5 400
p1 450
p3 550
p4 800

Solution (in JAVA):

Solution:
import java.util.*;

public class Main {
	class Process {
		String name;
		int time;
		Process(String name, int time) {
			this.name = name;
			this.time = time;
		}
	}
	void run() {
		Scanner scanner = new Scanner(System.in);
		int n = scanner.nextInt();
		int q = scanner.nextInt();
		Queue<Process> que = new LinkedList<Process>();
		for (int i = 0; i < n; i++) {
			String name = scanner.next();
			int time = scanner.nextInt();
			que.add(new Process(name, time));
		}
		for (int time = 0; !que.isEmpty();) {
			Process p = que.poll();
			if (p.time - q <= 0) {
				time += p.time;
				System.out.println(p.name + " " + time);
			} else {
				p.time -= q;
				que.add(p);
				time += q;
			}
		}
	}
	public static void main(String[] args) {
		new Main().run();
	}
}