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.Scanner;
public class Main{
    public static void main(String[] args){
        Scanner s=new Scanner(System.in);
        int n=s.nextInt();
        int q=s.nextInt();
        String name[]=new String[n+1];
        int time[]=new int[n+1];
        for(int i=0;i<n;i++){
            name[i]=s.next();
            time[i]=s.nextInt();
        }
        int total=0,cnt=n,now=0,next=0;
        while(cnt!=0){
            if(time[now]>0){
                time[now]-=q;
                if(time[now]<=0){
                    cnt--;
                    total+=time[now]+q;
                    System.out.println(name[now]+" "+total);
                }else{
                    total+=q;
                    next=now+cnt;
                    if(next>n) next-=(n+1);
                    name[next]=name[now];
                    time[next]=time[now];
                }
                time[now]=0;
            }
            now++;
            if(now>n) now-=(n+1);
        }
    }
}