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:
n, q = map(int, raw_input().split(" "))
process = {}
schedule = []
sec = 0

for i in range(n):
    p, time = raw_input().split(" ")
    process[p] = int(time)
    schedule.append(p)

while len(schedule) != 0:
    p = schedule.pop(0)
    if process[p] - q > 0:
        process[p] -= q
        schedule.append(p)
        sec += q
    else:
        sec += process[p]
        print(p + " " + str(sec))