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=list(map(int,input().split()))
B=[]
q=A[1]
from collections import deque
D=deque()
for i in range(A[0]):
    
    L=list(map(str,input().split()))
    L[1]=int(L[1])
    D.append(L[:])
    
    
time=0
while len(D):
    a=D.popleft()
    if a[1]<=q:
        time+=a[1]
        print(f'{a[0]} {time}')
    else:
        time+=q
        D.append([a[0],a[1]-q])