The Power-of-Two Population

A 'Balanced Number' is defined as a non-negative integer whose Hamming Weight (the number of set bits in its binary representation) is itself a power of 2 (e.g., 1, 2, 4, 8, 16, 32). Input: A line containing an integer N, followed by N integers on the next line. Output: The sum of all 'Balanced Numbers' in the list. Example: Input: 3 3 7 8 Explanation: 3 in binary is '11' (popcount 2, power of 2) -> Balanced 7 in binary is '111' (popcount 3, not power of 2) -> Not Balanced 8 in binary is '1000' (popcount 1, power of 2) -> Balanced Sum: 3 + 8 = 11. Output: 11