What is the optimal time complexity of solving Merge Triplets?

The optimized solution achieves a time complexity of O(n) by using sorting, mathematical shortcuts, or hash table lookups.

What is the auxiliary space complexity for Merge Triplets?

The space complexity is O(n) since we only use a minimal/constant amount of extra memory for tracking variables (or auxiliary space if dynamic structures are allocated).

What are the typical edge cases we must handle in Merge Triplets?

Key edge cases include empty collections, negative or large bounds causing integer overflow, arrays with only one element, or inputs where target criteria are not met.

How can we optimize the brute force approach for Merge Triplets?

Brute force methods often inspect all possible combinations. We optimize this by sorting the input list to enable binary search, or tracking processed items in a set to avoid redundant nested loop lookups.

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Merge Triplets

Learn how to solve the 'Merge Triplets' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

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. Return True if it is possible to obtain the target triplet [x, y, z] as an element of triplets, or False otherwise.

Write a function mergeTriplets(triplets: List[List[int]], target: List[int]) -> bool.

Constraints

•1 <= len(triplets) <= 10^5
•triplets[i].length == target.length == 3
•1 <= ai, bi, ci, x, y, z <= 1000

Examples

Example 1

Input

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

Output

True

Explanation

Merge [2,5,3] and [1,7,5] to get [max(2,1), max(5,7), max(3,5)] = [2,7,5].

Example 2

Input

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

Output

False

Explanation

Cannot get index 1 value of 2.

Need a Hint?

Analyze the input constraints. Try sorting first (O(n log n)) or using a hash map/set to track seen elements in O(n) time.

Edge Cases to Watch

Empty list or null input variables
Single item lists/arrays
Extremely large input bounds causing integer or stack overflow

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