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_str, q_str = raw_input().split()
N = int(N_str)
q = int(q_str)
A =[]
B =[]
total =0

for i in range(N):
    t = raw_input().split()
    A.append([t[0],int(t[1])])

while A:
    name, time = A.pop(0)
    if time <= q:
        total += time
        B.append(name+" "+ str(total))
       
    else:
        time -= q
        total += q
        A.append([name, time])

print '\n'.join(B)