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=[]
t=[]
nq=list(map(int,input().split()))
for i in range(nq[0]):
	inp=input().split()
	n.append(int(inp[1]))
	t.append(inp[0])
cnt1=0
while len(n)!=0:	
	n[0]=n[0]-nq[1]
	if n[0]<=0:
		cnt1=cnt1+nq[1]+n[0]
		print(t[0],cnt1)
		n.pop(0)
		t.pop(0)	
		
	else:
		n.append(n[0])
		t.append(t[0])
		n.pop(0)
		t.pop(0)
		cnt1+=nq[1]