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:
a = raw_input()
n, q = a.split(" ")
n = int(n)
q = int(q)
total = 0

queue = []
for i in range(n):
	queue.append(raw_input())
while (len(queue) > 0):
	b = queue.pop(0)
	p, t = b.split(" ")
	sa = int(t) - q
	if sa > 0:
		queue.append(p + " " + str(sa))
		total += q
	else:
		total += int(t)
		print (p + " " + str(total))