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 PYTHON3):

Solution:

pnum,mtime = map(int,input().split(" "))

total = [list(input().split(" ")) for _ in range(pnum)]

cnt=0
tcnt=0
while len(total) > 0:
	ztime = int(total[0][1]) - mtime
	if ztime <= 0:
		tcnt += int(total[0][1])
		print(total[0][0],int(tcnt))
		total.pop(0)
	else:
		total.append([total[0][0],ztime])
		total.pop(0)
		tcnt += mtime
	cnt += 1