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().strip().split())

A = []
D = {}
for l in range(N):
    n, t = input().strip().split()
    A.append([n, int(t)])

T = 0
while A:
    l = A.pop(0)
    if l[1] > Q:
        l[1] -= Q
        T += Q
        A.append(l)
    else:
        T += l[1]
        print(l[0], T)