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:
a,b=map(int,input().split())
list=[[0 for i in range(2)] for j in range(a)]
for i in range(a):
    list[i]=input().split()
n=0
s=0
while n!=a:
    if int(list[n][1])>b:
        list[n][1]=int(list[n][1])-b
        list.append(list[n])
        list.pop(n)
        s+=b
    else:
        print(list[n][0],s+int(list[n][1]))
        s+=int(list[n][1])
        n+=1