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:
import collections as cols

n, q = [int(x) for x in input().split()]
qu = cols.deque()

for i in range(n):
	tmp = [x for x in input().split()]
	qu.append([tmp[0], int(tmp[1])])

num = n
t = 0

while num > 0:
	tmp = qu.popleft()
	if tmp[1] > q:
		t += q
		qu.append([tmp[0], tmp[1] - q])
	else:
		t += tmp[1]
		num -= 1
		print(tmp[0], t)