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.


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).


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.




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Luis Herrera: 2016-05-12 18:22:59

Interesting problem. Try to find the numbers manually or using python in the console and you'll find the pattern.

pamulapati sai teja: 2016-05-01 08:47:16

What would be the answer if inputs are :

ayushjainsir: 2016-04-30 17:30:50

Did it in first attempt. yohoooo.....
A scary question I say!! but easy

shubhamkhara: 2016-04-25 16:08:34

DO NOT read any of the comments

Shreyas Gupta: 2015-12-24 18:19:59

Easy, AC in 1 go. Not good explanation given though.
Be careful about the size of k
Don't forget "\n" or endl after each output line

ashu05: 2015-12-21 16:46:33

Be careful with the size of K, costed me 1 WA.... :(

Timmy Jose: 2015-11-25 20:43:06

To all the people blatantly posting solutions instead of useful (but incomplete hints), please refrain from doing do. SPOJ really should have comments hidden by default to prevent fools like these from ruining problems.

nonushikhar: 2015-09-30 23:44:01

finally got ac! bad explanation:(

jarvis: 2015-09-10 16:27:50

a song :P 92,42,92,42 :D
and ac....!

jbannister: 2015-08-31 22:14:59

@einsdurchnull, in the example given, k = 1 so we must print the 1st positive integer whose cube ends with 888, i.e. the smallest such integer. If k = 2, we would print the 2nd smallest such integer, k = 3 the third, etc.

Added by:Matthew Reeder
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