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:
from collections import*
q = deque([])
a,b=map(int,input().split())
for i in range(a):
    c,d=input().split()
    q.append([c,int(d)])
t=0
while len(q)>0:
    tmp=q.popleft()
    if tmp[1]>b:
        tmp[1]-=b
        q.append(tmp)
        t+=b
    else:
        print(tmp[0],tmp[1]+t)
        t+=tmp[1]