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:
import collections
n,q = map(int, input().split())
queue = collections.deque(maxlen=100000)

for i in range(n):
    p,t = input().split()
    queue.append([p, int(t)])

time = 0
while queue:
    p,t = queue.popleft()
    if t<=q:
        time += t
        print(p,time)
    else:
        time += q
        queue.append([p,t-q])