Return the Sign of an Array's Product
Company: Google
Role: Software Engineer
Category: Coding & Algorithms
Difficulty: easy
Interview Round: Other
### Problem
For the product of all integers in `nums`, return 1 when it is positive, -1 when negative, or 0 when zero. The full product does not need to be constructed.
```cpp
class Solution {
public:
int arraySign(vector<int>& nums);
};
```
### Examples
**Example 1:**
```text
nums = [-4,2,-3]
Output: 1
Explanation: Two negative factors yield a positive product.
```
**Example 2:**
```text
nums = [7,-2,0,-5]
Output: 0
Explanation: One zero factor makes the whole product zero.
```
### Constraints
- `1 <= nums.length <= 1000`.
- Each entry lies in `[-100,100]`.
### Clarifying Questions
The source describes signFunc to define the requested result; the provided public callable is arraySign and returns only the product’s sign.
```hint Inspect the structure
What are the three permitted return values, including the case of a zero factor?
```
### Reasoning checkpoints
- Justify the returned sign for zero, positive, and negative products.
- Keep arithmetic valid even when the product's magnitude cannot fit a fixed-width integer.
### Optional extensions
How would you obtain the sign of a product supplied as a stream?
Overview: Return the Sign of an Array's Product. For the product of all integers in nums, return 1 when it is positive, -1 when negative, or 0 when zero. The full product does not need to be constructed.