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Solution: Triples with Bitwise AND Equal To Zero

Understand how to count triplets in an integer array where the bitwise AND of three elements equals zero. Learn to optimize the solution by precomputing pairwise bitwise AND results and using hash maps to reduce complexity from cubic to quadratic. Gain insight into the algorithm’s efficiency and practical implementation in C#.

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

  • ...