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:
#
# coding: utf-8

n, quantum = map(int, raw_input().split())

process_time = []
tim = 0

for x in xrange(n):
    pros, tt = raw_input().split()
    process_time.append([pros, int(tt)])

while True:
    if len(process_time) == 0: break
    pp = process_time.pop(0)
    if pp[1] > quantum :
        pp[1] = pp[1] - quantum
        process_time.append(pp)
        tim += quantum
    else:
        tim += pp[1]
        print pp[0] + " " +str(tim)