struct Solution;
use std::collections::BTreeSet;
use std::collections::HashMap;
type Edge = (usize, f64);
impl Solution {
fn calc_equation(
equations: Vec<Vec<String>>,
values: Vec<f64>,
queries: Vec<Vec<String>>,
) -> Vec<f64> {
let m = equations.len();
let mut symbols: BTreeSet<String> = BTreeSet::new();
let mut ids: HashMap<String, usize> = HashMap::new();
for eq in &equations {
symbols.insert(eq[0].clone());
symbols.insert(eq[1].clone());
}
for (i, s) in symbols.into_iter().enumerate() {
ids.insert(s, i);
}
let n = ids.len();
let mut graph: Vec<Vec<Edge>> = vec![vec![]; n];
for i in 0..m {
let u = ids[&equations[i][0]];
let v = ids[&equations[i][1]];
graph[u].push((v, values[i]));
graph[v].push((u, 1.0 / values[i]));
}
let mut res = vec![];
for query in queries {
if ids.contains_key(&query[0]) && ids.contains_key(&query[1]) {
let u = ids[&query[0]];
let v = ids[&query[1]];
let mut product = -1.0;
let mut visited = vec![false; n];
let mut path: Vec<f64> = vec![];
Self::dfs(u, v, &mut visited, &mut path, &mut product, &graph);
res.push(product);
} else {
res.push(-1.0);
}
}
res
}
fn dfs(
u: usize,
v: usize,
visited: &mut Vec<bool>,
path: &mut Vec<f64>,
product: &mut f64,
graph: &[Vec<Edge>],
) {
visited[u] = true;
if u == v {
*product = path.iter().fold(1.0, |a, v| a * v);
} else {
for e in &graph[u] {
if !visited[e.0] {
path.push(e.1);
Self::dfs(e.0, v, visited, path, product, graph);
path.pop();
}
}
}
visited[u] = false;
}
}
#[test]
fn test() {
let equations = vec_vec_string![["a", "b"], ["b", "c"]];
let values = vec![2.0, 3.0];
let queries = vec_vec_string![["a", "c"], ["b", "a"], ["a", "e"], ["a", "a"], ["x", "x"]];
let res = vec![6.0, 0.5, -1.0, 1.0, -1.0];
assert_eq!(Solution::calc_equation(equations, values, queries), res);
}