Given a non-negative integer n, return the count of prime numbers strictly less than n. A prime number is a number greater than 1 that has no divisors other than 1 and itself. Return 0 for null input or for n <= 2.

Examples:

Input: n = 10 Output: 4 Explanation: The primes below 10 are 2, 3, 5, 7 Input: n = 0 Output: 0 Explanation: No primes exist below 0 Input: n = 1 Output: 0 Explanation: No primes exist below 1 Input: n = 2 Output: 0 Explanation: No primes exist strictly less than 2 Input: n = 20 Output: 8 Explanation: The primes below 20 are 2, 3, 5, 7, 11, 13, 17, 19
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