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| 1 | +/** |
| 2 | + * Title: Evaluate Division |
| 3 | + * Description: 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. |
| 4 | + * Author: Hasibul Islam |
| 5 | + * Date: 04/05/2023 |
| 6 | + */ |
| 7 | + |
| 8 | +/** |
| 9 | + * @param {string[][]} equations |
| 10 | + * @param {number[]} values |
| 11 | + * @param {string[][]} queries |
| 12 | + * @return {number[]} |
| 13 | + */ |
| 14 | +var calcEquation = function (equations, values, queries) { |
| 15 | + const UF = new UnionFind(); |
| 16 | + for (let i = 0; i < equations.length; i++) { |
| 17 | + const [dividend, divisor] = equations[i]; |
| 18 | + const value = values[i]; |
| 19 | + |
| 20 | + UF.union(dividend, divisor, value); |
| 21 | + } |
| 22 | + |
| 23 | + const results = []; |
| 24 | + |
| 25 | + for (let i = 0; i < queries.length; i++) { |
| 26 | + const [dividend, divisor] = queries[i]; |
| 27 | + |
| 28 | + if (!UF.arr[dividend] || !UF.arr[divisor]) { |
| 29 | + results[i] = -1; |
| 30 | + } else { |
| 31 | + let [dividendGid, dividendWeight] = UF.find(dividend); |
| 32 | + let [divisorGid, divisorWeight] = UF.find(divisor); |
| 33 | + if (dividendGid !== divisorGid) { |
| 34 | + results[i] = -1; |
| 35 | + } else { |
| 36 | + results[i] = dividendWeight / divisorWeight; |
| 37 | + } |
| 38 | + } |
| 39 | + } |
| 40 | + |
| 41 | + return results; |
| 42 | +}; |
| 43 | + |
| 44 | +class UnionFind { |
| 45 | + arr = {}; |
| 46 | + |
| 47 | + find(key) { |
| 48 | + if (!this.arr[key]) this.arr[key] = [key, 1]; |
| 49 | + const [entryKey, entryValue] = this.arr[key]; |
| 50 | + |
| 51 | + if (entryKey !== key) { |
| 52 | + const [newEntryKey, newEntryValue] = this.find(entryKey); |
| 53 | + this.arr[key] = [newEntryKey, entryValue * newEntryValue]; |
| 54 | + } |
| 55 | + return this.arr[key]; |
| 56 | + } |
| 57 | + union(dividend, divisor, value) { |
| 58 | + let [dividendGid, dividendWeight] = this.find(dividend); |
| 59 | + let [divisorGid, divisorWeight] = this.find(divisor); |
| 60 | + |
| 61 | + if (dividendGid !== divisorGid) { |
| 62 | + this.arr[dividendGid] = [ |
| 63 | + divisorGid, |
| 64 | + (divisorWeight * value) / dividendWeight, |
| 65 | + ]; |
| 66 | + } |
| 67 | + } |
| 68 | +} |
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