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Solution: Triples with Bitwise AND Equal To Zero

Explore how to efficiently count triplets of integers in an array whose bitwise AND equals zero. This lesson teaches a two-phase solution using hash maps to precompute pairwise AND results and then find valid triplets, reducing a brute-force O(n³) approach to an O(n²) time complexity. You'll understand how to apply bitwise manipulation and hashing techniques to optimize problem solving in coding interviews.

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 \leq nums.length.

Constraints:

  • 11 \leq nums.length 1000\leq 1000

  • ...