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01-Pierścień-Zn.md
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## Zadanie
Napisać algorytm, który dla danego `n ∈ ℕ` znajdzie wszystkie:
1. elementy odwracalne
2. dzielniki zera
3. elementy nilpotentne
4. elementy idempotentne
w pierścieniu `{ℤ/nℤ, +, ⋅}`.
### Przykłady:
* Input:
> `4`
* Output:
> `[[1,3], [0,2], [0,2], [0,1]]`
* Input:
> `6`
* Output:
> `[[1,5], [0,2,3,4], [0], [0,1,3,4]]`
> Input: `4`
> Output: `[[1,3], [0,2], [0,2], [0,1]]`
> Input: `6`
> Output: `[[1,5], [0,2,3,4], [0], [0,1,3,4]]`