STROOQ - A complex yet very simple problem

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. (1 <= t <= 100000)

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

Added by:Sarwar
Date:2017-05-18
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All

hide comments
2021-11-07 07:25:37
How am I getting TLE with O(1) solution on testcase 2? There has to be an error in the testfiles
2018-06-07 21:08:02
Same problem description as Eights in classic.
2018-01-24 01:17:26
How did you get past it wisfaq? I get RE even if split the entire stdin and try taking next integer in try/except block.
2018-01-22 21:39:50 wisfaq
There seems to be something wrong with the testfiles.
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