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curriculum/challenges/italian/10-coding-interview-prep/rosetta-code/farey-sequence.md
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@ -1,6 +1,6 @@
---
id: 59c3ec9f15068017c96eb8a3
title: Farey sequence
title: Sequenza di Farey
challengeType: 5
forumTopicId: 302266
dashedName: farey-sequence
@ -8,18 +8,18 @@ dashedName: farey-sequence
# --description--
The [Farey sequence](https://en.wikipedia.org/wiki/Farey sequence "wp: Farey sequence") <code>F<sub>n</sub></code> of order `n` is the sequence of completely reduced fractions between `0` and `1` which, when in lowest terms, have denominators less than or equal to `n`, arranged in order of increasing size.
La [sequenza Farey](https://en.wikipedia.org/wiki/Farey sequence "wp: Farey sequence") <code>F<sub>n</sub></code> di ordine `n` è la sequenza di frazioni completamente ridotte tra `0` e `1` che, ai minimi termini, hanno denominatori minori o uguali a `n`, disposti in ordine di dimensioni crescenti.
The *Farey sequence* is sometimes incorrectly called a *Farey series*.
La *sequenza Farey* è a volte erroneamente chiamata una *serie di Farey*.
Each Farey sequence:
Ogni sequenza di Farey:
<ul>
<li>starts with the value 0, denoted by the fraction $ \frac{0}{1} $</li>
<li>ends with the value 1, denoted by the fraction $ \frac{1}{1}$.</li>
<li>inizia con il valore 0, indicato dalla frazione $ \frac{0}{1}$</li>
<li>termina con il valore 1, indicato dalla frazione $ \frac{1}{1}$.</li>
</ul>
The Farey sequences of orders `1` to `5` are:
Le sequenze Farey di ordine da `1` a `5` sono:
<ul>
<li style='list-style: none;'>${\bf\it{F}}_1 = \frac{0}{1}, \frac{1}{1}$</li>
@ -31,35 +31,35 @@ The Farey sequences of orders `1` to `5` are:
# --instructions--
Write a function that returns the Farey sequence of order `n`. The function should have one parameter that is `n`. It should return the sequence as an array.
Scrivi una funzione che restituisce la sequenza Farey di ordine `n`. La funzione dovrebbe avere un parametro `n`. Dovrebbe restituire la sequenza come un array.
# --hints--
`farey` should be a function.
`farey` dovrebbe essere una funzione.
```js
assert(typeof farey === 'function');
```
`farey(3)` should return an array
`farey(3)` dovrebbe restituire un array
```js
assert(Array.isArray(farey(3)));
```
`farey(3)` should return `["1/3","1/2","2/3"]`
`farey(3)` dovrebbe restituire `["1/3","1/2","2/3"]`
```js
assert.deepEqual(farey(3), ['1/3', '1/2', '2/3']);
```
`farey(4)` should return `["1/4","1/3","1/2","2/4","2/3","3/4"]`
`farey(4)` dovrebbe restituire `["1/4","1/3","1/2","2/4","2/3","3/4"]`
```js
assert.deepEqual(farey(4), ['1/4', '1/3', '1/2', '2/4', '2/3', '3/4']);
```
`farey(5)` should return `["1/5","1/4","1/3","2/5","1/2","2/4","3/5","2/3","3/4","4/5"]`
`farey(5)` dovrebbe restituire `["1/5","1/4","1/3","2/5","1/2","2/4","3/5","2/3","3/4","4/5"]`
```js
assert.deepEqual(farey(5), [