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Solution: Triples with Bitwise AND Equal To Zero

Explore how to count triplets in an integer array with a bitwise AND result of zero by using hash maps to precompute pairwise AND frequencies. Understand the two-phase approach that optimizes the solution from cubic to quadratic time complexity while keeping space usage constant.

Statement

You’re given an array of integers called nums. Your task is to count how many triplets of indexes (i, j, k) satisfy the condition nums[i] & nums[j] & nums[k] == 0, where & is the bitwise AND operator and 00 \leq i,, j,, k ...