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:
import Queue
import sys

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

def main():
    array = map(lambda x: int(x), sys.stdin.readline().strip().split(" "))
    p_num = array[0]
    q_time = array[1]
    p_queue = Queue.Queue()
    for i in range(0, p_num):
        array = sys.stdin.readline().strip().split(" ")
        p_queue.put(Proc(array[0], int(array[1])))
    t = 0
    while not p_queue.empty():
        p = p_queue.get()
        if p.time > q_time:
            p.time = p.time - q_time
            p_queue.put(p)
            t += q_time
        else:
            t += p.time
            print p.name + " " + str(t)
    
if __name__ == "__main__":
    main()