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 PYTHON):

Solution:
s = raw_input().split()
n = int(s[0])
q = int(s[1])

process_name = []
process_time = []
for x in xrange(n):
  ps = raw_input().split()
  process_name.append(ps[0])
  process_time.append(int(ps[1]))

total_time = 0
while process_name != []:
  pn = process_name.pop(0)
  pt = process_time.pop(0)
  if pt <= q:
    total_time += pt
    print pn, total_time
  else: 
    total_time += q
    process_name.append(pn)
    process_time.append(pt-q)