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())
a = [list(map(str, input().split())) for _ in range(n)]
ans = []
time = 0
while a:
    j = a.pop(0)
    if int(j[1]) > q:
        j[1] = str(int(j[1]) - q)
        a.append(j)
        time += q
    else:
        time += int(j[1])
        ans.append([j[0], str(time)])
for i in range(n):
    print(' '.join(ans[i]))