
"""simple docstring"""




def     __magic_name__		(					UpperCamelCase     :		str							,		UpperCamelCase     :		int     )     ->						str:
    a__		=			[[] for _ in range(UpperCamelCase     )]
    a__		=			key - 1

    if key <= 0:
        raise ValueError('Height of grid can\'t be 0 or negative'     )
    if key == 1 or len(UpperCamelCase     ) <= key:
        return input_string

    for position, character in enumerate(UpperCamelCase     ):
        a__		=			position % (lowest * 2)  # puts it in bounds
        a__		=			min(UpperCamelCase							,		lowest * 2 - num     )  # creates zigzag pattern
        temp_grid[num].append(UpperCamelCase     )
    a__		=			[''.join(UpperCamelCase     ) for row in temp_grid]
    a__		=			''.join(UpperCamelCase     )

    return output_string



def     __magic_name__		(					UpperCamelCase     :		str							,		UpperCamelCase     :		int     )     ->						str:
    a__		=			[]
    a__		=			key - 1

    if key <= 0:
        raise ValueError('Height of grid can\'t be 0 or negative'     )
    if key == 1:
        return input_string

    a__		=			[[] for _ in range(UpperCamelCase     )]  # generates template
    for position in range(len(UpperCamelCase     )     ):
        a__		=			position % (lowest * 2)  # puts it in bounds
        a__		=			min(UpperCamelCase							,		lowest * 2 - num     )  # creates zigzag pattern
        temp_grid[num].append('*'     )

    a__		=			0
    for row in temp_grid:  # fills in the characters
        a__		=			input_string[counter : counter + len(UpperCamelCase     )]
        grid.append(list(UpperCamelCase     )     )
        counter += len(UpperCamelCase     )

    a__		=			''  # reads as zigzag
    for position in range(len(UpperCamelCase     )     ):
        a__		=			position % (lowest * 2)  # puts it in bounds
        a__		=			min(UpperCamelCase							,		lowest * 2 - num     )  # creates zigzag pattern
        output_string += grid[num][0]
        grid[num].pop(0     )
    return output_string



def     __magic_name__		(					UpperCamelCase     :		str     )     ->						dict[int, str]:
    a__		=			{}
    for key_guess in range(1							,		len(UpperCamelCase     )     ):  # tries every key
        a__		=			decrypt(UpperCamelCase							,		UpperCamelCase     )
    return results


if __name__ == "__main__":
    import doctest

    doctest.testmod()




"""simple docstring"""




def     __magic_name__		(					UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		)     ->						float:
    a__		=			[redshift, radiation_density, matter_density, dark_energy]
    if any(p < 0 for p in parameters     ):
        raise ValueError('All input parameters must be positive'     )

    if any(p > 1 for p in parameters[1:4]     ):
        raise ValueError('Relative densities cannot be greater than one'     )
    else:
        a__		=			1 - (matter_density + radiation_density + dark_energy)

        a__		=			(
            radiation_density * (redshift + 1) ** 4
            + matter_density * (redshift + 1) ** 3
            + curvature * (redshift + 1) ** 2
            + dark_energy
        )

        a__		=			hubble_constant * e_a ** (1 / 2)
        return hubble


if __name__ == "__main__":
    import doctest

    # run doctest
    doctest.testmod()

    # demo LCDM approximation
    a		:       Any     						=       0.3

    print(
        hubble_parameter(
            hubble_constant=68.3,
            radiation_density=1e-4,
            matter_density=matter_density,
            dark_energy=1 - matter_density,
            redshift=0,
        )
    )


