






from bisect import bisect
from itertools import accumulate






def 				lowerCamelCase__      (    __lowerCamelCase			:     Union[str, Any]  ,		__lowerCamelCase			:     Union[str, Any]  ,		__lowerCamelCase			:     Dict  ,		__lowerCamelCase			:     Optional[int]		):
  __UpperCAmelCase							:	Union[str, Any]           =  sorted(zip(__lowerCamelCase  ,		__lowerCamelCase		)  ,		key=lambda __lowerCamelCase		: x[0] / x[1]  ,		reverse=__lowerCamelCase		)
  __UpperCAmelCase      , __UpperCAmelCase							:	Any           =  [i[0] for i in r], [i[1] for i in r]
  __UpperCAmelCase							:	Any           =  list(accumulate(__lowerCamelCase		)		)
  __UpperCAmelCase							:	List[str]           =  bisect(__lowerCamelCase  ,		__lowerCamelCase		)
  return (
      0
      if k == 0
      else sum(vl[:k]		) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
      if k != n
      else sum(vl[:k]		)
  )


if __name__ == "__main__":
       import doctest

       doctest.testmod()










from math import log

from scipy.constants import Boltzmann, physical_constants

a		:       Any			     = 300  # TEMPERATURE (unit = K)






def 				lowerCamelCase__      (    __lowerCamelCase			:     float  ,		__lowerCamelCase			:     float  ,		__lowerCamelCase			:     float  ,		):

  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()


