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:
from queue import Queue

q = Queue()
Q=[]
time=0
N = list(map(int, input().split()))
qt=N[1]
for i  in range(N[0]):
  Q.append(list(map(str, input().split())))
for i in range(N[0]):
  q.put(Q[i])

while q.empty()==False:
  i=q.get()
  i[1]=str(int(i[1])-qt)
  if int(i[1])<=0:
    time=time+int(i[1])+qt
    print(i[0],time)
    pass
  else:
    time=time+qt
    q.put(i)