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()
e,a = 0,[]
for _ in range(n):
    m, t = input().split()
    d.append((m, int(t)))
while d:
    m, t = d.popleft()
    if t - q > 0:
        e += q
        d.append((m, t - q))
    else:
        e += t
        a += [f'{m} {e}']
print('\n'.join(a))