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=input().split()
a=[int(i) for i in a]
b=[]
cnt=0
time=0
for i in range(a[0]):
  b.append(input().split())
  cnt+=int(b[i][1])
i=0
while cnt!=time:
  if int(b[i][1])<=a[1]:
    time+=int(b[i][1])
    print(b[i][0],time)
    b.pop(0)
  else: 
    b[i][1]=int(b[i][1])-a[1]
    time+=a[1]
    b.append(b.pop(i))