Problem:
There are n processes in a queue. Each process has namei and timei. The round-robin scheduling handles the processes in order. A round-robin scheduler gives each process a quantum (a time slot) and interrupts the process if it is not completed by then. The process is resumed and moved to the end of the queue, then the scheduler handles the next process in the queue.

For example, we have the following queue with the quantum of 100ms.

A(150) - B(80) - C(200) - D(200)

First, process A is handled for 100ms, then the process is moved to the end of the queue with the remaining time (50ms).

B(80) - C(200) - D(200) - A(50)

Next, process B is handled for 80ms. The process is completed with the time stamp of 180ms and removed from the queue.

C(200) - D(200) - A(50)

Your task is to write a program which simulates the round-robin scheduling.

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.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 1000

1 ≤ timei ≤ 50000

1 ≤ length of namei ≤ 10

1 ≤ Sum of timei ≤ 1000000

Sample Input 1

5 100
p1 150
p2 80
p3 200
p4 350
p5 20

Sample Output 1

p2 180
p5 400
p1 450
p3 550
p4 800

Notes

Template in C

Solution in JAVA (judge verdict: Accepted)

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

public class Main {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int q = in.nextInt();
        Queue<Process> processes = new LinkedList<>();
        for (int i = 0; i < n; i++) {
            String name = in.next();
            int time = in.nextInt();
            processes.add(new Process(name, time));
        }
        schedule(processes, q);
    }

    private static void schedule(Queue<Process> processes, int quantum) {
        int totalTime = 0;
        PriorityQueue<Process> finishedProcesses = new PriorityQueue<>();
        while (!processes.isEmpty()) {
            Process p = processes.remove();
            boolean finished = p.start(quantum);
            if (finished) {
                totalTime += quantum + p.getTime();
                p.setCompletedAt(totalTime);
                finishedProcesses.add(p);
            } else {
                totalTime += quantum;
                processes.add(p);
            }
        }
        while (!finishedProcesses.isEmpty()) {
            System.out.println(finishedProcesses.remove());
        }
    }
}

class Process implements Comparable {
    private String name;
    private int time;
    private int completedAt;

    Process(String name, int time) {
        this.name = name;
        this.time = time;
    }

    String getName() {
        return name;
    }

    int getTime() {
        return time;
    }

    void setTime(int time) {
        this.time = time;
    }

    int getCompletedAt() {
        return completedAt;
    }

    void setCompletedAt(int completedAt) {
        this.completedAt = completedAt;
    }

    /**
     * Starts the process and runs it for the amount of time given.
     * @param quantum the amount of time allotted to run the process.
     * @return True if process is finished, else false.
     */
    boolean start(int quantum) {
        int timeLeft = getTime() - quantum;
        if (timeLeft > 0) {
            setTime(timeLeft);
            return false;
        } else {
            setTime(timeLeft);
            return true;
        }
    }

    @Override
    public int compareTo(Object o) {
        Process p = (Process) o;
        return Integer.compare(getCompletedAt(), p.getCompletedAt());
    }

    @Override
    public String toString() {
        return getName() + " " + getCompletedAt();
    }
}