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11 changes: 11 additions & 0 deletions solutions/rust/alphametics/2/Cargo.toml
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[package]
name = "alphametics"
version = "0.1.0"
edition = "2024"

# Not all libraries from crates.io are available in Exercism's test runner.
# The full list of available libraries is here:
# https://github.com/exercism/rust-test-runner/blob/main/local-registry/Cargo.toml
[dependencies]
itertools = "0.14.0"
indexmap = "2.13.0"
103 changes: 103 additions & 0 deletions solutions/rust/alphametics/2/src/lib.rs
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use indexmap::IndexSet;
use itertools::Itertools;
use std::collections::HashMap;

// ASCII version: A-Z
pub fn solve(input: &str) -> Option<HashMap<char, u8>> {
if let Some(terms) = parse_input(input) {
match term_longer_than_sum(&terms.0, terms.1) {
true => return None,
false => return collate(terms.0, terms.1),
}
}

None
}

fn collate(terms: HashMap<&str, u64>, sum: &str) -> Option<HashMap<char, u8>> {
let (chars, first_chars_length) = collect_chars(&terms, sum);
let mut digits_map = [255u8; 26];

for first in (1u8..=9).permutations(first_chars_length) {
for last in (0u8..=9)
.filter(|x| !first.contains(x))
.permutations(chars.len() - first_chars_length)
{
for (i, &ch) in chars.iter().enumerate() {
digits_map[(ch - b'A') as usize] = match i < first.len() {
true => first[i],
false => last[i - first.len()],
};
}

if sum_eq_terms_sum(sum, &terms, &digits_map) {
return Some(
chars
.iter()
.map(|&ch| (ch as char, digits_map[(ch - b'A') as usize]))
.collect(),
);
}
}
}

None
}

fn sum_eq_terms_sum(sum: &str, terms: &HashMap<&str, u64>, digits_map: &[u8; 26]) -> bool {
let sum_number = word_to_number(sum, 1, digits_map);
let mut terms_sum = 0;
for term in terms {
terms_sum += word_to_number(term.0, *term.1, digits_map);
if terms_sum > sum_number {
break;
}
}

terms_sum == sum_number
}

fn word_to_number(word: &str, multiplier: u64, digits_map: &[u8; 26]) -> u64 {
word.bytes().fold(0, |acc, ch| {
acc * 10 + digits_map[(ch - b'A') as usize] as u64
}) * multiplier
}

fn collect_chars(terms: &HashMap<&str, u64>, sum: &str) -> (IndexSet<u8>, usize) {
let mut chars: IndexSet<u8> = IndexSet::new();
let mut first_chars_length = 0;
terms
.iter()
.flat_map(|(key, _)| key.chars().enumerate())
.chain(sum.chars().enumerate())
.for_each(|(i, c)| {
let ch = c as u8;
match i == 0 && !chars.contains(&ch) {
true => {
chars.insert_before(0, ch);
first_chars_length += 1;
}
false => {
chars.insert(ch);
}
}
});

(chars, first_chars_length)
}

fn term_longer_than_sum(terms: &HashMap<&str, u64>, sum: &str) -> bool {
terms.iter().any(|(s, _)| s.len() > sum.len())
}

fn parse_input(input: &str) -> Option<(HashMap<&str, u64>, &str)> {
input.split_once(" == ").map(|(left, right)| {
(
left.split(" + ").fold(HashMap::new(), |mut acc, s| {
*acc.entry(s).or_insert(0) += 1;
acc
}),
right,
)
})
}