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 = list(map(int, input().split()))
p = [0]*n
t = [0]*n

for i in range(n):
    p[i],t[i] = list(input().split())

i = 0
sum_t = 0
while 1:
    if i==len(t):
        break
    tmp_t = int(t[i])-q
    if tmp_t<=0:
        sum_t += int(t[i])
        print(p[i],sum_t)
    else:
        sum_t += q
        p.append(p[i])
        t.append(tmp_t)        
    i+=1