def get_pascal_triangle_unique_coefficients(depth: int) -> set[int]:
    coefficients = {1}
    previous_coefficients = [1]
    for _ in range(2, depth + 1):
        coefficients_begins_one = [*previous_coefficients, 0]
        coefficients_ends_one = [0, *previous_coefficients]
        previous_coefficients = []
        for x, y in zip(coefficients_begins_one, coefficients_ends_one):
            coefficients.add(x + y)
            previous_coefficients.append(x + y)
    return coefficients