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:
n, time=map(int,raw_input().split())
p = []
t = []
for _ in xrange(n):
    a = raw_input().split()
    p.append(a[0])
    t.append(int(a[1]))
alltime = 0
while True:
    if len(p)==0:
        break
    if t[0]<=time:
        alltime+=t[0]
        print p.pop(0),
        t.pop(0)
        print alltime
    else:
        t.append(t[0])
        t.pop(0)
        t[-1]-=time
        alltime += time
        p.append(p[0])
        p.pop(0)