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Quick Summary

Find the maximum number of elements whose bitwise AND is strictly greater than zero.
The selected elements can be non-contiguous within the original array.
The solution relies on analyzing bit positions rather than enumerating subsets.

What This Tests

Bitwise logic and properties of the AND operator
Frequency counting and data aggregation
Optimizing brute-force approaches to linear time
Mathematical reasoning over binary representations

Common Patterns

Bit Manipulation

Hashing

Test Cases

Input

Output

Expected