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:
n,q = map(int, raw_input().split())
que = [map(str, raw_input().split()) for i in range(n)]
for i in range(n):que[i][1] = int(que[i][1])
mxt = sum([y for x,y in que])
t = 0
i = 0
while t < mxt:
	i %= n
	a = que[i]
	if 0 < a[1] <= q:
		t += a[1]
		que.pop(i)
		n -= 1
		print a[0],t				
	elif q < a[1]:
		t += q
		que[i][1] = a[1] - q
		i += 1