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
sumanth2015: 2016-08-16 22:33:09

AC in first try itself!! Thank god. I tried for 2 hrs in java...reduced execution time from 15 minutes to 0.13 seconds.... ;-) in between I wished for i9 processor ;-) ... Nothing much in the program...a smaalllll logic. Just figure it out and you are done.

Last edit: 2016-08-16 22:34:42
nikhil03: 2016-08-16 18:39:48

Comments can sometimes be helpful!!!
It really is about the pattern... AC in on go!!!

cnexans: 2016-07-28 01:54:49

I got WA because of the boundary limit, 2000000000000. Be careful about that. Pretty easy :) it would be nice to prove the pattern mathematically. GL

sandeep_123: 2016-07-24 17:27:08

very easy problem! only thing is finding pattern

warriorvr9: 2016-06-23 16:10:07

Easy one!

Rahadian Koesdijarto Putra: 2016-06-19 11:58:42

Should you need to find the pattern, try to precompute it! Saves you lots of time!

Hint: avoid naive approach, it's all about PATTERN.

ajay_raj: 2016-06-17 23:12:34

Find the pattern :)

ujjwalverma: 2016-06-07 08:44:51

Bad explanation!
one more example:
1
2
output:
442

Last edit: 2016-06-07 08:48:17
top_gun007: 2016-06-06 12:51:32

Easy

sweatygenius: 2016-06-03 17:31:39

DO NOT READ ANY COMMENTS, THEY WILL RUIN THE QUESTION FOR YOU.
People just post solutions here to feel smart themselves :/


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