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.




hide comments
abhishyam: 2015-08-12 11:22:30

Problem Explanation is not clear.....
Try the following Test Cases
1 -- 192
5 -- 1192
6 -- 1442
78 -- 19442
100 -- 24942

Last edit: 2015-08-12 11:22:48
ROHIT Kumar: 2015-08-02 13:27:28

easy qustn but the clarity of question is very poor...output not explained precisely .

Anant Upadhyay: 2015-08-02 13:22:57

nice on hocs........ but question not explained clearly!!

Anurag Sharma: 2015-08-02 13:02:08

nice ad-hoc....

richatibrewal: 2015-07-30 17:38:35

To solve this problem, do we have to note the first few numbers whose cubes end in 888 or we have an alternate solution?

knightwood: 2015-07-28 11:17:47

my favourite number is 250

einsdurchnull: 2015-07-26 13:04:03

What does k^th number mean? From what I understand the example formula has to be "(1^192)^3" , or? But that's 1. I see that 192^3 = ...888. But where is k in this formula? Is it suppoesed to be (k*192)^3 ... I don't get it ... -.- Maybe it's because I'm not a native speaker of English, and I oversee something?!
If test case "1 4 942" is right, then I got it ... It's not k^th, but kth :)

Last edit: 2015-07-26 13:36:45
r0bo_dart: 2015-07-21 17:48:05


hacker_1995: 2015-07-02 14:13:15

you can find the solution and logic here. it's an easy pattern. give it a try if not able to resolve then go to

Last edit: 2022-08-07 10:46:34
Ankush : 2015-06-22 10:33:18

O(1) :D

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