Solution:
The problem of the last contest was:
All solutions to this equation follow one general formula. This can be reached by setting the whole equation equal to a new variable z⁶:
x² = y³ = z⁶
↓
x = z³
y = z²
If z is an integer, then x and y are also integer, so the general result is:
(z³, z²)
Sadly most people forgot that z can also be negative, but luckily that won't have a negative impact today.
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How your chance of winning is calculated:
- Every participant gets 1 point for entering the contest.
- Every solution entered gets 1 additional point.
- Multiple examples of a general solution count as one solution
- If there is only one general solution, those who found its pattern(by mentioning a general formula or showing more then 3 examples) will get an additional point.
- Your winning chance is
"your points"/"total points"
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List of participants with their scores and chance of winning, sorted by time of entry:
| Name | solutions found | score | chance of winning |
|---|---|---|---|
| @contrabourdon | (1, 1) | 2 | 11.1% |
| @hokkaido | (1, 1) | 2 | 11.1% |
| @vote-transfer | (±1, 1) | 2 | 11.1% |
| @heraclio | (8, 4) | 2 | 11.1% |
| @sparkesy43 | (8, 4) | 2 | 11.1% |
| @mytechtrail | (1, 1) | 2 | 11.1% |
| @bwar | (z³, z²) | 3 | 16.7% |
| @tonimontana | (t³, t²) | 3 | 16.7% |
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Winner draw(using a self written program):
Congratulations @vote-transfer, you won 1 SBI:
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