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 Queue
n,q=map(int,raw_input().strip().split())
name=[]
time=[]
qu=Queue.Queue()
class task:
    def __init__(self,name,time):
        self.name=name
        self.time=time
        self.total=0
for i in xrange(n):
    inp=raw_input().strip().split()
    qu.put(task(inp[0],int(inp[1])))
curtime=0

while not qu.empty():
    tmp=qu.get()
    if tmp.time>q:
        tmp.time-=q
        curtime+=q
        qu.put(tmp)
    else:

        curtime+=tmp.time
        ed='' if qu.qsize()==0 else '\n'
        print tmp.name,curtime
#    print curtime