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.LinkedList;
import java.util.Queue;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int c = sc.nextInt(), ms = sc.nextInt();
        String[] name = new String[c];
        int[] time = new int[c];
        Queue<Integer> queue = new LinkedList<>();
        for (int i = 0; i < c; i++) {
            name[i] = sc.next();
            time[i] = sc.nextInt();
            queue.add(i);
        }
        int total = 0;
        while (!queue.isEmpty()) {
            int i = queue.remove();
            if (time[i] > ms) {
                time[i] -= ms;
                total += ms;
                queue.add(i);
            } else {
                total += time[i];
                System.out.println(name[i] + " " + total);
            }
        }
    }
}