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:
info=list(map(int,input().split()))
p_name=[]
p_time=[]
time=0
for i in range(info[0]):
	input_pro=input().split()
	p_name.append(input_pro[0])
	p_time.append(int(input_pro[1]))

while len(p_time)!=0:
	nt=p_time.pop(0)
	nn=p_name.pop(0)
	if nt<=info[1]:
		time+=nt
		print(nn+' '+str(time))

	else:
		p_name.append(nn)
		p_time.append(nt-info[1])
		time+=info[1]