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:
time = 0
overtime = 0
n,q = map(int,input().split())
L = [input().split() for i in range(n)]

while True:
    if len(L) == 0:
        break
    else:
        s = L.pop(0)
        s[1] = int(s[1])
        if s[1] > q:
            s[1] = s[1] - q
            time += q
            L.append(s)
        else:
            time += s[1]
            print(s[0],time)