Package g1801_1900.s1899_merge_triplets_to_form_target_triplet

Class Solution

  • public class Solution
extends Object
    1899 - Merge Triplets to Form Target Triplet.

    Medium

    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.

    Example 1:

    Input: triplets = [[2,5,3],[1,8,4],[1,7,5]], target = [2,7,5]

    Output: true

    Explanation: Perform the following operations:

    • Choose the first and last triplets [[2,5,3],[1,8,4],[1,7,5]]. Update the last triplet to be [max(2,1), max(5,7), max(3,5)] = [2,7,5]. triplets = [[2,5,3],[1,8,4],[2,7,5]]

    The target triplet [2,7,5] is now an element of triplets.

    Example 2:

    Input: triplets = [[3,4,5],[4,5,6]], target = [3,2,5]

    Output: false

    Explanation: It is impossible to have [3,2,5] as an element because there is no 2 in any of the triplets.

    Example 3:

    Input: triplets = [[2,5,3],[2,3,4],[1,2,5],[5,2,3]], target = [5,5,5]

    Output: true

    Explanation: Perform the following operations:

    • Choose the first and third triplets [[2,5,3],[2,3,4],[1,2,5],[5,2,3]]. Update the third triplet to be [max(2,1), max(5,2), max(3,5)] = [2,5,5]. triplets = [[2,5,3],[2,3,4],[2,5,5],[5,2,3]].

    • Choose the third and fourth triplets [[2,5,3],[2,3,4],[2,5,5],[5,2,3]]. Update the fourth triplet to be [max(2,5), max(5,2), max(5,3)] = [5,5,5]. triplets = [[2,5,3],[2,3,4],[2,5,5],[5,5,5]].

    The target triplet [5,5,5] is now an element of triplets.

    Constraints:

    • 1 <= triplets.length <= 105
    • triplets[i].length == target.length == 3
    • 1 <= ai, bi, ci, x, y, z <= 1000

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • mergeTriplets

        public boolean mergeTriplets​(int[][] triplets,
                             int[] target)