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
from collections import deque
def m():
 s=sys.stdin.readlines()
 q=int(s[0].split()[1])
 f=lambda x,y:(x,int(y))
 d=deque(f(*e.split())for e in s[1:])
 t,a=0,[]
 while d:
  k,v=d.popleft()
  if v>q:v-=q;t+=q;d.append([k,v])
  else:t+=v;a+=[f'{k} {t}']
 print('\n'.join(a))
if'__main__'==__name__:m()