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 = map(int,input().split())
A = [list(map(str,input().split())) for i in range(n)]
time = 0
flag = 1
while len(A) > 0:
    if int(A[0][1]) <= q: #プロセスが完了する場合
        time += int(A[0][1])
        print(A[0][0],time)
        del A[0]
    else: #プロセスが完了しない場合
        time += q
        A[0][1] = str(int(A[0][1])-q)
        A.append(A[0])
        del A[0]