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 PYTHON3):

Solution:
n,q=list(map(int,input().split()))

n_t=[input().split() for i in range(n)]

p_time=0

while n_t:
    
    if int(n_t[0][1])<=q:
        p_time+=int(n_t[0][1])
        finish=n_t.pop(0)
        print(finish[0],p_time)
    else:
        
        n_t[0][1]=str(int(n_t[0][1])-q)
        n_t.append(n_t[0])
        p_time+=q
        del n_t[0]