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 PYTHON):

Solution:
# input
n, q = map(int, raw_input().split())
procs = [raw_input().split() for i in xrange(n)]
procs = list(reversed(procs))

# procsessing
cnt, lack = 0, 1
while lack > 0:
    lack = 0
    tprocs = []
    for i in xrange(n):
        proc = procs.pop()
        t = int(proc[1])
        if t <= q:
            cnt += t
            print proc[0], cnt
            n -= 1
        else: # t > q
            cnt += q
            t = t - q
            lack += t
            proc[1] = str(t)
            tprocs.append(proc)
    procs = list(reversed(tprocs))