Given an integer array nums, determine the sign of the product of all values in nums.

Return:

• $1$ if the product is strictly greater than $0$.

• $-1$ if the product is strictly less than $0$.

• $0$ if the product is equal to $0$.

Constraints:

• $1 \le$ nums.length $\le 1000$

• $-100 \le$ nums[i] $\le 100$

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Implement your solution in the following coding playground.