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 -*-


def round_robin_scheduling(process_name, process_time, q):
    result = []
    elapsed_time = 0

    while len(process_name) > 0:
        # print process_name
        # print process_time
        if process_time[0] <= q:
            elapsed_time += process_time[0]
            process_time.pop(0)
            result.append(process_name.pop(0) + ' ' + str(elapsed_time))
        else:
            elapsed_time += q
            process_name.append(process_name.pop(0))
            process_time.append(process_time.pop(0) - q)
    return result


if __name__ == '__main__':
    N, q = map(int, raw_input().split())
    process_name, process_time = [], []
    for i in xrange(N):
        process = raw_input().split()
        process_name.append(process[0])
        process_time.append(int(process[1]))
    # N, q = 5, 100
    # process_name = ['p1', 'p2', 'p3', 'p4', 'p5']
    # process_time = [150, 80, 200, 350, 20]
    result = round_robin_scheduling(process_name, process_time, q)
    for i in xrange(len(result)):
        print result[i]