Triple Fat Ladies

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Points: 5

Time limit: 1.0s

Memory limit: 16M

C# 32M

Problem types

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 $888$ ~888~.

Given a number $k$ ~k~, help Mr. HKP find the $1^\text{st}$ ~1^\text{st}~ number larger than $k$ ~k~ whose cube ends in $888$ ~888~.

Input Specification

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

Each test case consists of a single line containing a single integer $k$ ~k~ $(1 \le k \le 20\,000)$ ~(1 \le k \le 20\,000)~.

Output Specification

For each test case, output a single integer which denotes the $1^\text{st}$ ~1^\text{st}~ number larger than $k$ ~k~ whose cube ends in $888$ ~888~. The result will be less than $2^{63}$ ~2^{63}~.

Sample Input

1
1

Sample Output

Comments

0

ev_code commented on Sept. 9, 2024, 7:26 p.m. ← edited →

HINT: Take a look at the first three smallest numbers whose cube end with 888: 192, 442, 692

You'll probably figure this out anyway, but just wanted to put it out there :). I don't want to give the problem solution away, so all I'll say is look closely!

1

mucube0 commented on Feb. 9, 2024, 7:23 p.m. ← edited →

If you're too lazy to convert each $k$ ~k~ to a string you can always use modulo to get the digits

-5

mateobarbosa commented on Oct. 22, 2023, 10:27 p.m.

for the c++ or c or c# gamers out there make sure to use a long instead of an int for the numbers that you will be cubing. I TLEd on this problem i was using an int and the number was defaulting to int limit

This comment is hidden due to too much negative feedback. Show it anyway.

14

iam commented on Jan. 21, 2022, 9:01 p.m. ← edited →

The explanation of this one was a little bit vague, so this may help you if you are stuck:

The first number is the NUMBER OF INPUTS, each of which is then processed individually. I initially started trying to do x number of items starting from 1.

A sample output with more than 1 test case would look like this:

INPUTS: 3 1 900 10000

OUTPUTS: 192 942 10192