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:
n,q = map(int, input().split())

A = []

for i in range(n):
  A.append(input())

i = 0

time = 0

while not A == []:
  x,y = map(str, A[i].split())
  y = int(y)
  if y <= q:
    time += y
    times = str(time)
    A[i] = x + " " + times
    print(A.pop(i))
  else:
    z = y-q
    z = str(z)
    time += q
    A.append(x + " " + z)
    del A[i]