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:
from collections import deque

n, q = map(int, input().split(' '))
d = deque()
for _ in range(n):
    l = list(input().split(' '))
    l[1] = int(l[1])
    d.appendleft(l)

_q = q
s = 0
while len(d) > 0:
    e = d.pop()
    if e[1] - _q > 0:
        s += _q
        e[1] -= _q
        d.appendleft(e)
    else:
        s += e[1]
        print(e[0], s)
    _q = q