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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayDeque;
import java.util.Queue;

public class Main {

	public static void main(String[] args) throws NumberFormatException,
			IOException {
		BufferedReader reader = new BufferedReader(new InputStreamReader(
				System.in));
		StringBuilder builder = new StringBuilder();
		String[] line = reader.readLine().split(" ");
		int n = Integer.parseInt(line[0]);
		int q = Integer.parseInt(line[1]);
		Queue<String[]> queue = new ArrayDeque<String[]>();
		for (int i = 0; i < n; i++) {
			queue.add(reader.readLine().split(" "));
		}
		String[] work = new String[2];
		int elapse = 0;
		while ((work = queue.poll()) != null) {
			int time = Integer.parseInt(work[1]);
			if (time <= q) {
				elapse += time;
				builder.append(work[0]).append(" ").append(elapse).append("\n");
			} else {
				time -= q;
				elapse += q;
				work[1] = String.valueOf(time);
				queue.add(work);
			}

		}
		System.out.print(builder);
	}
}