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, p = map(int, input().split())
ps = []
for i in range(n):
  ps.append(input().split())
  ps[i][1] = int(ps[i][1])
t = 0

while len(ps) > 0:
  if ps[0][1] > p:
    ps.append([ps[0][0], ps[0][1]-p])
    t += p
    ps.pop(0)
  else:
    t += ps[0][1]
    print('{0} {1}'.format(ps[0][0], t))
    ps.pop(0)