from __future__ import annotations

import math







def 						A__  (					__A   , __A   , __A   , __A   , __A	):







    '''simple docstring'''

    if depth < 0:
        raise ValueError("""Depth cannot be less than 0"""	)

    if len(__A	) == 0:
        raise ValueError("""Scores cannot be empty"""	)

    if depth == height:
        return scores[node_index]

    if is_max:
        return max(
            minimax(depth + 1   , node_index * 2   , __A   , __A   , __A	)   , minimax(depth + 1   , node_index * 2 + 1   , __A   , __A   , __A	)   , )

    return min(
        minimax(depth + 1   , node_index * 2   , __A   , __A   , __A	)   , minimax(depth + 1   , node_index * 2 + 1   , __A   , __A   , __A	)   , )







def 						A__  (					):







    '''simple docstring'''
    _lowerCamelCase     :		Dict 						=						[90, 23, 6, 33, 21, 65, 123, 34_423]
    _lowerCamelCase     :		List[Any] 						=						math.log(len(__A	)   , 2	)
    print("""Optimal value : """   , end=""""""	)
    print(minimax(0   , 0   , __A   , __A   , __A	)	)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()





from math import log

from scipy.constants import Boltzmann, physical_constants

lowerCAmelCase			:							List[Any]     =300  # TEMPERATURE (unit = K)







def 						A__  (					__A   , __A   , __A   , ):







    '''simple docstring'''

    if donor_conc <= 0:
        raise ValueError("""Donor concentration should be positive"""	)
    elif acceptor_conc <= 0:
        raise ValueError("""Acceptor concentration should be positive"""	)
    elif intrinsic_conc <= 0:
        raise ValueError("""Intrinsic concentration should be positive"""	)
    elif donor_conc <= intrinsic_conc:
        raise ValueError(
            """Donor concentration should be greater than intrinsic concentration"""	)
    elif acceptor_conc <= intrinsic_conc:
        raise ValueError(
            """Acceptor concentration should be greater than intrinsic concentration"""	)
    else:
        return (
            Boltzmann
            * T
            * log((donor_conc * acceptor_conc) / intrinsic_conc**2	)
            / physical_constants["electron volt"][0]
        )


if __name__ == "__main__":
    import doctest

    doctest.testmod()




