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:
def main():
	n,q = map(int,input().split())
	que = []
	for _ in range(n):
		name, time = input().split()
		que += [[name, int(time)]]
	anst = 0
	while que != []:
		temp = que.pop(0)
		if temp[1] <= q:
			anst += temp[1]
			print(f"{temp[0]} {anst}")
		else:
			anst += q
			que += [[temp[0], temp[1]-q]]

main()