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:
n_quant =  [int(t) for t in input().split()]
que = []
for i in range(n_quant[0]):
    tmp = input().split()
    que.append((tmp[0], int(tmp[1])))

time = 0
while len(que) > 0:

    (name, val) = que.pop(0)
    if(val > n_quant[1]):
        que.append((name, val - n_quant[1]))
        time += n_quant[1]
    else:
        time += val
        print(name, time)