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,q=map(int,raw_input().split())
p=[map(str,raw_input().split()) for i in xrange(n)]
a=[]
ct=0
while len(p)>=1:
    if int(p[0][1])>q:
        p.append([p[0][0],int(p[0][1])-q])
        p.pop(0)
        ct+=q
        
    else:
        ct+=int(p[0][1])
        a.append([p[0][0],int(ct)])
        p.pop(0)
for i in xrange(n):
    print a[i][0],a[i][1]