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`