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 PYTHON):

Solution:
# coding: utf-8
import sys
import collections

def main():
	n, quantum = map(int, raw_input().split())
	processes = [x.split() for x in sys.stdin.readlines()]
	for p in processes:
		p[1] = int(p[1])
	queue = collections.deque(processes)
	elapsed = 0
	while queue:
		# print elapsed, queue
		head = queue.popleft()
		if head[1] > quantum:
			head[1] -= quantum
			queue.append(head)
			elapsed += quantum
		else:
			elapsed += head[1]
			print head[0], elapsed

if __name__ == '__main__':
	main()