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:
data = raw_input().split()
n = int(data[0])
q = int(data[1])

queue = []
for i in range(n):
	process = raw_input().split()
	process[1] = int(process[1])
	queue.append(process)

time = 0
while len(queue) > 0:
	if queue[0][1] > q:
		queue[0][1] -= q
		time += q
		queue.append(queue[0])
	else:
		time += queue[0][1]
		print("{:} {:}".format(queue[0][0], time))
	del queue[0]