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:
#python2.7
N,M = raw_input().split()
time=0
flag=1
A=[]
for i in range(int(N)):
	A.append(raw_input().split())

while len(A)!=0:
	if(int(A[0][1])>int(M)):
		A[0][1]=str(int(A[0][1])-int(M))
		A.append(A[0])
		del A[0]
		time+=int(M)
	else:
		time+=int(A[0][1])
		print A[0][0]+" "+str(time)
		del A[0]