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 queue import Queue

n,q =map(int,input().split()) ##n:プロセス数、q:クオンタム

qu=Queue()  ##意味を調べる

for i in range(n):
    name,t=input().split()
    qu.put((name,int(t))) ##Queueのput?
    

cnt=0

while qu.qsize()>0: ##qsize?
    name,t=qu.get() 
    cnt+=min(q,t)  ##処理時間と残り時間の小さい方をたす
    if q< t:
        qu.put((name,t-q))  ##残り時間から処理時間を引いて、後ろに回す
    else:
        print(name,cnt)