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 PYTHON3):

Solution:
import sys,collections
p=[s.split()for s in sys.stdin]
p=collections.deque([[s[0],int(s[1])]for s in p])
q=int(p.popleft()[1])
t=0
while len(p)>0:
 if p[0][1]>q:
  p[0][1]-=q
  p+=[p.popleft()]
  t+=q
 else:
  t+=p[0][1]
  print(p.popleft()[0],t)