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 = [ int( val ) for val in raw_input( ).split( " " ) ]
ps = [0]*n
t = [0]*n
for i in range( n ):
	ps[i], t[i] = raw_input( ).split( " " )


output = []
qsum = 0
while t:
	psi = ps.pop( 0 )
	ti = int( t.pop( 0 ) )
	if ti <= q:
		qsum += ti	
		output.append( psi+" "+str( qsum ) )
	else:
		t.append( ti - q )
		ps.append( psi )
		qsum += q

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