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:
from Queue import Queue

n, q = [ int( val ) for val in raw_input( ).split( " " ) ]
names = Queue( )
times = Queue( )
for i in range( n ):
	name, time = raw_input( ).split( " " )
	names.put( name )
	times.put( int( time ) )
 
qsum = 0
output = []
while not times.empty( ):
	name = names.get( )
	time = times.get( )
	if time <= q:
		qsum += time
		output.append( "{:s} {:d}".format( name, qsum ) )
	else:
		times.put( time - q )
		names.put( name )
		qsum += q

print( "\n".join( output ) )