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[]){
	    Scanner input = new Scanner(System.in);
	    
	    Queue<Integer>num = new LinkedList<Integer>();
	    Queue<String> p = new LinkedList<String>();
	    int number = input.nextInt();
	    int time = input.nextInt();
	    int timer = 0;
	    for(int i = 0; i < number; i++ ){
	    	p.add(input.next());
	        num.add(input.nextInt());
	    }//for
	    
	    while(!num.isEmpty()){
	    	String test2 = p.remove();
	        int test = num.remove();
	        if(test - time <= 0 ){
	            timer += test;
	            System.out.println(test2 +  " " +(timer));
	        }//if
	        if(test - time > 0){
	        	p.add(test2);
	            num.add(test - time);
	            timer += time;
	        }//if
	        
	    }//while
	    
}//main
}//main