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 collections import deque

n, q = [ int( val ) for val in raw_input( ).split( " " ) ]
processes = deque( )
for i in range( n ):
    name, time = raw_input( ).split( " " )
    processes.append( ( name, int( time ) ) )
  
qsum = 0
output = []
while len( processes ):
    process = processes.popleft( )
    if process[1] <= q:
        qsum += process[1]
        output.append( "{:s} {:d}".format( process[0], qsum ) )
    else:
        processes.append( ( process[0], process[1]- q ) )
        qsum += q
 
print( "\n".join( output ) )