I jumped straight to the modulo check and felt good about it, but the negative number follow-up tripped me up for a second.
Start by clarifying the problem and constraints, then present a simple solution using the modulo operator to check for odd numbers. Address the follow-ups by explaining how negative numbers are handled (e.g., -3 % 2 == -1, so check != 0) and how to handle values beyond 32-bit range by using appropriate data types or libraries.
Pro tip: Mention that in languages like Python, integers are arbitrary precision, so no special handling is needed, but in Java/C++ you'd need BigInteger or long long. This shows awareness of language-specific trade-offs.
Ask about input format, output format, and constraints (e.g., list size, integer range). Confirm whether the list can be empty or contain duplicates.
Describe iterating through the list and checking if each number is odd using modulo 2. For positive numbers, n % 2 == 1; for negatives, n % 2 != 0 works in most languages.
Explain that in languages like C++/Java, -3 % 2 yields -1, so checking != 0 correctly identifies odd negatives. Alternatively, use bitwise AND (n & 1) which works for negatives in two's complement.
Discuss that if values exceed 32-bit range, use 64-bit integers (long long) or arbitrary-precision types (BigInteger in Java, Python int). Mention potential overflow if not careful.
State time complexity O(n) and space O(1) excluding output. Mention edge cases: empty list, all even, all odd, zero (even), and minimum negative value.
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