|
| 1 | +# Challenge Description and Solution |
| 2 | + |
| 3 | +## English Version |
| 4 | + |
| 5 | +### Challenge Description |
| 6 | +Develop a recursive or iterative function to calculate the factorial of a non-negative integer. Consider handling special cases such as negative numbers. |
| 7 | + |
| 8 | +### Code Explanation |
| 9 | +The code presents two functions to calculate the factorial: |
| 10 | + |
| 11 | +- `factorialRecursive(n)`: Calculates the factorial recursively. If `n` is negative, it throws an error. If `n` is 0 or 1, it returns 1. Otherwise, it returns `n` multiplied by the factorial of `n-1`. |
| 12 | + |
| 13 | +- `factorialIterative(n)`: Calculates the factorial iteratively. If `n` is negative, it throws an error. It initializes `result` to 1 and successively multiplies by each number from 2 to `n`. |
| 14 | + |
| 15 | +### Relevant Code Snippet |
| 16 | + |
| 17 | +```javascript |
| 18 | +function factorialRecursive(n) { |
| 19 | + if (n < 0) { |
| 20 | + throw new Error("Factorial is not defined for negative numbers"); |
| 21 | + } |
| 22 | + if (n === 0 || n === 1) { |
| 23 | + return 1; |
| 24 | + } |
| 25 | + return n * factorialRecursive(n - 1); |
| 26 | +} |
| 27 | + |
| 28 | +function factorialIterative(n) { |
| 29 | + if (n < 0) { |
| 30 | + throw new Error("Factorial is not defined for negative numbers"); |
| 31 | + } |
| 32 | + let result = 1; |
| 33 | + for (let i = 2; i <= n; i++) { |
| 34 | + result *= i; |
| 35 | + } |
| 36 | + return result; |
| 37 | +} |
| 38 | +``` |
| 39 | + |
| 40 | +### Example Usage |
| 41 | + |
| 42 | +```javascript |
| 43 | +const testValues = [0, 1, 5, 7]; |
| 44 | +testValues.forEach(val => { |
| 45 | + console.log(`Factorial of ${val} (recursive): ${factorialRecursive(val)}`); |
| 46 | + console.log(`Factorial of ${val} (iterative): ${factorialIterative(val)}`); |
| 47 | +}); |
| 48 | +``` |
| 49 | + |
| 50 | +--- |
| 51 | + |
| 52 | +## Versión en Español |
| 53 | + |
| 54 | +### Descripción del Reto |
| 55 | +Desarrolla una función recursiva o iterativa para calcular el factorial de un número entero no negativo. Considera el manejo de casos especiales como números negativos. |
| 56 | + |
| 57 | +### Explicación del Código |
| 58 | +El código presenta dos funciones para calcular el factorial: |
| 59 | + |
| 60 | +- `factorialRecursive(n)`: Calcula el factorial de forma recursiva. Si `n` es negativo, lanza un error. Si `n` es 0 o 1, retorna 1. En otro caso, retorna `n` multiplicado por el factorial de `n-1`. |
| 61 | + |
| 62 | +- `factorialIterative(n)`: Calcula el factorial de forma iterativa. Si `n` es negativo, lanza un error. Inicializa `result` en 1 y multiplica sucesivamente por cada número desde 2 hasta `n`. |
| 63 | + |
| 64 | +### Fragmento de Código Relevante |
| 65 | + |
| 66 | +```javascript |
| 67 | +function factorialRecursive(n) { |
| 68 | + if (n < 0) { |
| 69 | + throw new Error("Factorial is not defined for negative numbers"); |
| 70 | + } |
| 71 | + if (n === 0 || n === 1) { |
| 72 | + return 1; |
| 73 | + } |
| 74 | + return n * factorialRecursive(n - 1); |
| 75 | +} |
| 76 | + |
| 77 | +function factorialIterative(n) { |
| 78 | + if (n < 0) { |
| 79 | + throw new Error("Factorial is not defined for negative numbers"); |
| 80 | + } |
| 81 | + let result = 1; |
| 82 | + for (let i = 2; i <= n; i++) { |
| 83 | + result *= i; |
| 84 | + } |
| 85 | + return result; |
| 86 | +} |
| 87 | +``` |
| 88 | + |
| 89 | +### Ejemplo de Uso |
| 90 | + |
| 91 | +```javascript |
| 92 | +const testValues = [0, 1, 5, 7]; |
| 93 | +testValues.forEach(val => { |
| 94 | + console.log(`Factorial de ${val} (recursivo): ${factorialRecursive(val)}`); |
| 95 | + console.log(`Factorial de ${val} (iterativo): ${factorialIterative(val)}`); |
| 96 | +}); |
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