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:
def readInts():
  return [int(i) for i in input().split()]

def readLine(n: int):
  return [input().split() for _ in range(n)]


n, q = readInts()
ps = readLine(n)

t = 0
while ps != []:
    p = ps.pop(0)
    pt = int(p[1])
    if pt <= q:
        t += pt
        print(p[0], t)
    else:
        t += q
        ps.append([p[0], pt - q])