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 {
	public static void main(String [] args) {
		
		LinkedList<String> names = new LinkedList<String>();
		LinkedList<Integer> times = new LinkedList<Integer>();
		Scanner in = new Scanner(System.in);
		int numLines = in.nextInt();
		int t = in.nextInt();
		int totalTime = 0;
	
		for(int i = 0; i < numLines; i++) {
			names.add(in.next());
			times.add(in.nextInt());
		}
		
		while(!times.isEmpty()) {
			String name = names.removeFirst();
			int time = times.removeFirst();
			
			if(time <= t) {
				totalTime += time;
				System.out.println(name + " " + totalTime);
			}
			
			else {
				totalTime += t;
				names.addLast(name);
				times.addLast(time - t);
			}
		}
	}
	
}