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,t = map(int, input().split())
Task=[]
for i in range(n):
    nm,le= map(str, input().split())
    Task.append([nm,le])
T=0
while n >0:
    k = Task.pop(0)
    k[1]=int(k[1])
    if k[1] > t:
        k[1]=k[1]-t
        T=T+t
        Task.append(k)
        n = len(Task)
    else:
        T=T+k[1]
        k[1]=T
        print(' '.join(map(str, k)))
        n = len(Task)