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 PYTHON):

Solution:
# ALDS1_3_B
# coding: utf-8

from collections import deque

n, q = [int(i) for i in raw_input().split()]
d = deque()
for i in range(n):
    name, time = raw_input().split()
    time = int(time)
    d.append([name, time])

total = 0
while len(d) > 0:
    p = d.popleft()
    if p[1] <= q: # 終わり
        total += p[1]
        print "{} {}".format(p[0], total)
    else:
        total += q
        p[1] -= q
        d.append(p)