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:
from collections import deque

nameq = deque()
timeq = deque()
n, q = map(int, raw_input().split())
for _ in xrange(n):
  name, time = raw_input().split()
  nameq.append(name)
  timeq.append(int(time))

t = 0
while nameq:
  name = nameq.popleft()
  time = timeq.popleft()
  if time > q:
    time -= q
    nameq.append(name)
    timeq.append(time)
    t += q
  else:
    t += time
    print "%s %d" % (name, t)