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:
import collections

dq = collections.deque()
N, Q = map(int, input().split())
for i in range(N):
    name, time = input().split()
    dq.append((name, int(time)))
total_time = 0
while dq:
    name, time = dq.popleft()
    total_time += min(Q, time)
    if time <= Q:
        print(name, total_time)
    else:
        dq.append((name, time-Q))