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 scan=new Scanner(System.in);
        int n=scan.nextInt();
        int quantam=scan.nextInt();
        int erapsedTime=0;
        ArrayList<String> pname=new ArrayList<String>();
        ArrayList<Integer> ptime=new ArrayList<Integer>();
        
        for(int i=0; i<n; i++){
            pname.add(scan.next());
            ptime.add(scan.nextInt());
        }
        //System.out.println(pname+":"+ptime);
        
        while(ptime.size()!=0){
            if(ptime.get(0)<=quantam){
                erapsedTime+=ptime.remove(0);
                System.out.println(pname.remove(0)+" "+erapsedTime);
            }
            else{
                ptime.add(ptime.remove(0)-quantam);
                pname.add(pname.remove(0));
                erapsedTime+=quantam;
            }
        }
    }
}