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:
n,q = map(int,input().split())
name = []
time = []
for i in range(n):
    a = input().split()
    name.append(a[0])
    time.append(int(a[1]))
s = 0
while name:
    if time[0]> q:
        time[0] -= q
        time.append(time.pop(0))
        name.append(name.pop(0))
        s += q
    else:
        s += time[0] 
        time.pop(0)
        print(name.pop(0),s)