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#1899 - Merge Triplets to Form Target Triplet
Problem Description
A triplet is an array of three integers. You are given a 2D integer array triplets, where triplets[i] = [ai, bi, ci] describes the ith triplet. You are also given an integer array target = [x, y, z] that describes the triplet you want to obtain.
To obtain target, you may apply the following operation on triplets any number of times (possibly zero):
- Choose two indices (0-indexed) i and j (i != j) and update triplets[j] to become [max(ai, aj), max(bi, bj), max(ci, cj)].
- For example, if triplets[i] = [2, 5, 3] and triplets[j] = [1, 7, 5], triplets[j] will be updated to [max(2, 1), max(5, 7), max(3, 5)] = [2, 7, 5].
Return true if it is possible to obtain the target triplet [x, y, z] as an element of triplets, or false otherwise.
Solution
/**
* @param {number[][]} triplets
* @param {number[]} target
* @return {boolean}
*/
var mergeTriplets = function(triplets, target) {
let canFormX = false;
let canFormY = false;
let canFormZ = false;
for (const [a, b, c] of triplets) {
if (a <= target[0] && b <= target[1] && c <= target[2]) {
if (a === target[0]) canFormX = true;
if (b === target[1]) canFormY = true;
if (c === target[2]) canFormZ = true;
}
}
return canFormX && canFormY && canFormZ;
};