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:
#!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin

num, qt = (int(s) for s in stdin.readline().split())
rrs = []
for _ in range(num):
    name, time = stdin.readline().split()
    rrs.append([name, int(time)])

process = 0
while rrs:
    rrs[0][1] -= qt
    if rrs[0][1] <= 0:
        process += qt + rrs[0][1]
        print(rrs.pop(0)[0], process)
    else:
        process += qt
        p = rrs.pop(0)
        rrs.append(p)