from typing import List
from typing import Tuple


def three_variables_large_mean_differences() -> List[Tuple[Tuple[float, float, float], float]]:
    """Each entry represents three random variables. The format is:
    (
        (mean1, mean2, mean3),
        covariance_scale
    )
    and covariance scale controls how big the covariance between any two variables can be.

    Note:
        this data set is created in such way that differences between means are always much larger than any covariances.
        This makes the approximation very accurate.
    """
    return [
        ((1.0, 10.0, 20.0), 0.1),
        ((2.0, 9.0, 25.1), 1.0),
        ((0.1, 3.0, 5.0), 0.1),
    ]