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:
n,q=list(map(int,input().split()))
name=[]
time=[]
sum=0
for i in range(n):

	na,ti=input().split()
	name.append(na)
	time.append(int(ti))
	
	
while len(name)>0:
	na=name.pop(0)
	ti=time.pop(0)
	
	if ti>q:
		sum+=q
		name.append(na)
		time.append(ti-q)
		
	else:
		sum+=ti
		print(na, sum)