Generating All Possible n-Character Passwords in Go
To generate all possible passwords of a specified length using characters from a given set in Go, the concept of n-ary Cartesian product needs to be employed. Essentially, this involves constructing a Cartesian product of a set with itself n times.
The approach is iterative. The n-1 Cartesian product is first constructed. Then, for each product and each element of the initial set, the element is added to the product. For example, consider the generation of all 3-character passwords using the characters 'a' and 'b':
- The 1-character Cartesian product of {'a', 'b'} is {'a', 'b'}.
- The 2-character Cartesian product is {('a', 'a'), ('a', 'b'), ('b', 'a'), ('b', 'b')}.
- The 3-character Cartesian product is {('a', 'a', 'a'), ('a', 'a', 'b'), ('a', 'b', 'a'), ('a', 'b', 'b'), ('b', 'a', 'a'), ('b', 'a', 'b'), ('b', 'b', 'a'), ('b', 'b', 'b')}.
The following Go function, NAryProduct, implements this iterative construction:
import ( "fmt" "strings" ) func NAryProduct(input string, n int) []string { if n <p>Example usage:</p><pre class="brush:php;toolbar:false">fmt.Println(NAryProduct("abc", 3)) // [aaa aab aac aba abb abc aca acb acc baa bab bac bba bbb bbc bca bcb bcc]
Note that the provided solution can be further optimized by avoiding recalculation of previously computed sets.
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