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Check Even Divisors Count

Write a Python function `has_even_divisors_count(n)` that determines whether the count of divisors of a given positive integer `n` is even. A divisor of a number is any integer that divides it without leaving a remainder.

#### Example Usage:
```python [main.nopy]
print(has_even_divisors_count(10))  # Output: True
print(has_even_divisors_count(100)) # Output: False
print(has_even_divisors_count(125)) # Output: True
```

#### Constraints:
- The input `n` will always be a positive integer.
- The function should return a boolean value (`True` or `False`).
import math

def has_even_divisors_count(n):
    """
    Determines whether the count of divisors of n is even.

    Args:
        n (int): A positive integer.

    Returns:
        bool: True if the count of divisors is even, False otherwise.
    """
    # Placeholder for the solution
    pass
Intermediate mathfunctionsloopsconditionals
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