Merge Triplets to Form Target Triplet
A triplet is an array of three integers. You are given a 2D integer array triplets, where triplets[i] = [ai, bi, ci] describes the i^th 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)
iandj(i != j) and updatetriplets[j]to become[max(ai, aj), max(bi, bj), max(ci, cj)].
Return true if it is possible to obtain the target triplet [x, y, z] as an element of triplets, or false otherwise.
Example 1
Input
triplets = [[2,5,3],[1,8,4],[1,7,5]], target = [2,7,5]Output
trueAfter updating the last triplet with the first triplet,
[2,7,5] becomes an element of triplets.Example 2
Input
triplets = [[3,4,5],[4,5,6]], target = [3,2,5]Output
falseIt is impossible to have
[3,2,5] as an element because there is no 2 in any of the triplets.Constraints
- 1 <= triplets.length <= 10^5
- triplets[i].length == target.length == 3
- 1 <= ai, bi, ci, x, y, z <= 1000