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 queue(q, ps):
    time = 0
    while len(ps) != 0:
        p = ps.pop(0)
        if p.time > q:
            p.time -= q
            time += q
            ps.append(p)
        else:
            time += p.time
            print p.name + " " + str(time)

if __name__ == "__main__":
    L = map(int, raw_input().split())
    N = L[0]
    q = L[1]
    processes = []
    for i in range(N):
        L = raw_input().split()
        processes.append(process(L[0], int(L[1])))
    queue(q, processes)