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,m=map(int,input().split())
p=[input().split() for _ in range(n)]
cnt=0
while(p):
    if int(p[0][1])>m:
        p[0][1]=int(p[0][1])-m
        x=p[0]
        del(p[0])
        p.append(x)
        cnt+=m
    else:
        cnt+=int(p[0][1])
        print(p[0][0], cnt)
        del(p[0])