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:
from collections import deque
d = deque()
time = 0
n,q = map(int,input().split())
for i in range(n):
	d.append(input().split())
while len(d):
	d[0][1]=int(d[0][1])
	if d[0][1]>q:
		d[0][1] -= q
		time += q
		d.rotate(-1)
	else:
		time += d[0][1]
		print(f'{d.popleft()[0]} {time}')