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:
class process:
    def __init__(self, name, time):
        self.name = name
        self.time = time

def main():
    n, q = map(int, raw_input().split())
    p = list()
    for i in range(n):
        name, time = raw_input().split()
        p.append(process(name, int(time)))

    s = 0
    while len(p) > 0:
        e = p.pop(0)
        if e.time - q <= 0:
            s += e.time
            print(e.name + " " + str(s))
        else:
            s += q
            e.time -= q
            p.append(e)

main()