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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 <= 20
  • equations[i].length == 2
  • 1 <= Ai.length, Bi.length <= 5
  • values.length == equations.length
  • 0.0 < values[i] <= 20.0
  • 1 <= queries.length <= 20
  • queries[i].length == 2
  • 1 <= Cj.length, Dj.length <= 5
  • Ai, Bi, Cj, Dj consist 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;
};