Evaluate Division
Problem statement
You are given an array of variable pairs equations and an array of real numbers values, where equations[i] = [Ai, Bi] and values[i] represent the equation Ai / Bi = values[i]. Each Ai or Bi is a string that represents a single variable.
You are also given some queries, where queries[j] = [Cj, Dj] represents the jth query where you must find the answer for Cj / Dj = ?.
Return the answers to all queries. If a single answer cannot be determined, return -1.0.
Note: The input is always valid. You may assume that evaluating the queries will not result in division by zero and that there is no contradiction.
Example 1:
Input: equations = [["a","b"],["b","c"]], values = [2.0,3.0], queries = [["a","c"],["b","a"],["a","e"],["a","a"],["x","x"]]Output: [6.00000,0.50000,-1.00000,1.00000,-1.00000]Explanation: Given: a / b = 2.0, b / c = 3.0queries are: a / c = ?, b / a = ?, a / e = ?, a / a = ?, x / x = ?return: [6.0, 0.5, -1.0, 1.0, -1.0 ]
Example 2:
Input: equations = [["a","b"],["b","c"],["bc","cd"]], values = [1.5,2.5,5.0], queries = [["a","c"],["c","b"],["bc","cd"],["cd","bc"]]Output: [3.75000,0.40000,5.00000,0.20000]
Example 3:
Input: equations = [["a","b"]], values = [0.5], queries = [["a","b"],["b","a"],["a","c"],["x","y"]]Output: [0.50000,2.00000,-1.00000,-1.00000]
Constraints:
1 <= equations.length <= 20equations[i].length == 21 <= Ai.length, Bi.length <= 5values.length == equations.length0.0 < values[i] <= 20.01 <= queries.length <= 20queries[i].length == 21 <= Cj.length, Dj.length <= 5Ai, Bi, Cj, Djconsist of lower case English letters and digits.
My solution
/**
* @param {string[][]} equations
* @param {number[]} values
* @param {string[][]} queries
* @return {number[]}
*/
var calcEquation = function(equations, values, queries) {
const valueMap = new Map();
let i = 0;
for (const [A, B] of equations) {
const value = values[i]
if (!valueMap.get(A)) {
valueMap.set(A, [])
}
valueMap.get(A).push([B, value])
if (!valueMap.get(B)) {
valueMap.set(B, [])
}
valueMap.get(B).push([A, 1 / value])
i++;
}
const result = [];
for (const [start, destination] of queries) {
if (!valueMap.has(start)) {
result.push(-1)
} else if (start === destination) {
result.push(1)
} else {
const visited = new Set();
const queue = [];
queue.push([start, 1]);
visited.add(start)
let found = false;
while (queue.length) {
const [currVar, currValue] = queue.shift();
if (currVar === destination) {
result.push(currValue);
found = true;
break;
}
// console.log(currVar, currValue)
if (!valueMap.has(currVar)) {
continue
}
for (const [nextVar, nextValue] of valueMap.get(currVar)) {
if (!visited.has(nextVar)) {
visited.add(nextVar)
queue.push([nextVar, currValue * nextValue]);
}
}
}
if (!found) {
result.push(-1);
}
}
}
return result;
};