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:
import collections

n, q = map(int, raw_input().split())
datalist = [raw_input().split() for i in range(n)]

datalist = collections.deque(datalist)

time = 0
while len(datalist):
	data = datalist.popleft()
	data[1] = int(data[1])
	
	if data[1] <= q:
		time += data[1]
		print data[0], time
		
	else:
		time += q
		data[1] = data[1] - q
		datalist.append(data)