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Solution: Triples with Bitwise AND Equal To Zero

Explore how to efficiently count triplets in an array where the bitwise AND of three elements equals zero. This lesson teaches breaking down the problem into pairwise results using a hash map to reduce a cubic time complexity to quadratic. You will understand how to precompute frequencies of bitwise AND pairs and combine them with array elements to find valid triplets, focusing on time and space trade-offs in bitwise manipulation.

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

  • ...