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:
from collections import deque

n, m = map(int, input().split())
name = ['']*n
time = ['']*n
for i in range(n):
	name[i], time[i] = input().split()
time = list(map(int, time))

Q = deque([i for i in range(n)])
t = 0
while Q!=deque([]):
	q = Q.popleft()
	if time[q]<=m:
		t += time[q]
		print(name[q] + ' ' + str(t))
	else:
		t += m
		time[q] -= m
		Q.append(q)