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 {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		Scanner s = new Scanner(System.in);
		String input = s.nextLine();
		Integer number = Integer.parseInt(input.split(" ")[0]);
		Integer quantum = Integer.parseInt(input.split(" ")[1]);
		Integer current_time = 0;
		ArrayList<String> queue = new ArrayList<String>();
		while(s.hasNext()){
			queue.add(s.nextLine());
		}
		s.close();
		String output = "";
		while(queue.size() > 0){
			String process = queue.remove(0);
			Integer result = get_time(process, quantum);
			if(result <= 0){
				current_time = current_time + quantum + result;
				output = output + process.split(" ")[0] + " " + current_time + "\n";
			}
			else{
				current_time += quantum;
				String process_result = process.split(" ")[0] + " " + result.toString();
				queue.add(process_result);
			}
			if(output.length() > 1000){
				System.out.print(output);
				output = "";
			}
		}
		System.out.print(output);

	}
	
	private static Integer get_time(String process, Integer quantum){
		Integer time = Integer.parseInt(process.split(" ")[1]);
		return time - quantum;
	}

}