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 Queue():
    def __init__(self):
        self.el = []
        
    def add(self, el):
        self.el.append(el)
        
    def delete(self):
        return self.el.pop(0)
    
    def action(self):
        self.el[0]['time'] -= q
        tmp = self.delete()
        self.el.append(tmp)

n, q = map(int, raw_input().split())
qu = Queue()

for i in range(n):
    name, time = raw_input().split()
    time = int(time)
    qu.add({'name':name, 'time':time})

time = 0
while qu.el:
    #print qu.el
    if qu.el[0]['time'] > q:
        qu.action()
        time += q
    else:
        time += qu.el[0]['time']
        print qu.el[0]['name'], time
        qu.delete()