EIGHTS - Triple Fat Ladies


Pattern Matchers have been designed for various sorts of patterns. Mr. HKP likes to observe patterns in numbers. After completing his extensive research on the squares of numbers, he has moved on to cubes. Now he wants to know all numbers whose cube ends in 888.

Given a number k, help Mr. HKP find the kth number (indexed from 1) whose cube ends in 888.

Input

The first line of the input contains an integer t, the number of test cases. t test cases follow.

Each test case consists of a single line containing a single integer k (1 <= k <= 2000000000000).

Output

For each test case, output a single integer which denotes the kth number whose cube ends in 888. The result will be less than 263.

Example

Input:
1
1

Output:
192

hide comments
saurabhsunil95: 2017-12-06 19:38:31

AC in one go

true_saiyan: 2017-11-14 07:37:16

1 line of code in python

g_o_d: 2017-10-21 14:25:47

I suggest building the mathematical equation to find the trick !!

moder_gabbar07: 2017-10-10 14:49:34

First gets WA
then just write 2 lines of code
and boom AC

hitesh87: 2017-09-23 11:34:33

I would also say identify the pattern.

prasanth292130: 2017-08-30 18:33:00

AC in one go.........

nitisha1: 2017-08-13 06:16:10

AC in 1st go.....

amartya_k: 2017-08-12 18:33:51

Hint: Try finding arithmetic difference from the sequence.
Use unsigned long long in C++ for larger numbers.

sai__teja_01: 2017-08-03 15:16:38

AC in a go bro..!

plidke: 2017-07-27 14:01:10

There is a pattern :) Also very easy to see if You just print saveral such numbers.

Last edit: 2017-07-27 14:27:49

Added by:Matthew Reeder
Date:2006-10-30
Time limit:1.197s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Al-Khawarizm 2006