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:
import sys

queue = []

header = sys.stdin.readline()
(n, q) = header.strip().split()
q = int(q)

for line in sys.stdin.readlines():
  (name, time) = line.strip().split()
  queue.append((name, int(time)))

total_time = 0
while len(queue) > 0:
  (name, time) = queue.pop(0)
  time -= q
  if time > 0:
    total_time += q
    queue.append((name, time))
  else:
    total_time += time + q
    print "%s %s" % (name, total_time)