
'''simple docstring'''
from __future__ import annotations

from collections.abc import Sequence
from typing import Literal






def      UpperCamelCase_				(      A__  ,      A__						):
	a_      				=						list(A__						)
	a_      				=						list(A__						)
	a_      				=						0
	for i in range(len(A__						)						):
		if lista[i] != lista[i]:
			count += 1
			a_      				=						"""_"""
	if count > 1:
		return False
	else:
		return "".join(A__						)






def      UpperCamelCase_				(      A__						):
	a_      				=						[]
	while True:
		a_      				=						["""$"""] * len(A__						)
		a_      				=						[]
		for i in range(len(A__						)						):
			for j in range(i + 1  ,      len(A__						)						):
				a_      				=						compare_string(binary[i]  ,      binary[j]						)
				if k is False:
					a_      				=						"""*"""
					a_      				=						"""*"""
					temp.append("""X"""						)
		for i in range(len(A__						)						):
			if checka[i] == "$":
				pi.append(binary[i]						)
		if len(A__						) == 0:
			return pi
		a_      				=						list(set(A__						)						)






def      UpperCamelCase_				(      A__  ,      A__						):
	a_      				=						[]
	for minterm in minterms:
		a_      				=						""""""
		for _ in range(A__						):
			a_      				=						str(minterm % 2						) + string
			minterm //= 2
		temp.append(A__						)
	return temp






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):
	a_      				=						list(A__						)
	a_      				=						list(A__						)
	a_      				=						0
	for i in range(len(A__						)						):
		if lista[i] != lista[i]:
			count_n += 1
	return count_n == count






def      UpperCamelCase_				(      A__  ,      A__						):
	a_      				=						[]
	a_      				=						[0] * len(A__						)
	for i in range(len(chart[0]						)						):
		a_      				=						0
		a_      				=						-1
		for j in range(len(A__						)						):
			if chart[j][i] == 1:
				count += 1
				a_      				=						j
		if count == 1:
			a_      				=						1
	for i in range(len(A__						)						):
		if select[i] == 1:
			for j in range(len(chart[0]						)						):
				if chart[i][j] == 1:
					for k in range(len(A__						)						):
						a_      				=						0
			temp.append(prime_implicants[i]						)
	while True:
		a_      				=						0
		a_      				=						-1
		a_      				=						0
		for i in range(len(A__						)						):
			a_      				=						chart[i].count(1						)
			if count_n > max_n:
				a_      				=						count_n
				a_      				=						i

		if max_n == 0:
			return temp

		temp.append(prime_implicants[rem]						)

		for i in range(len(chart[0]						)						):
			if chart[rem][i] == 1:
				for j in range(len(A__						)						):
					a_      				=						0






def      UpperCamelCase_				(      A__  ,      A__						):
	a_      				=						[[0 for x in range(len(A__						)						)] for x in range(len(A__						)						)]
	for i in range(len(A__						)						):
		a_      				=						prime_implicants[i].count("""_"""						)
		for j in range(len(A__						)						):
			if is_for_table(prime_implicants[i]  ,      binary[j]  ,      A__						):
				a_      				=						1

	return chart






def      UpperCamelCase_				(      ):
	a_      				=						int(input("""Enter the no. of variables\n"""						)						)
	a_      				=						[
	    float(A__						)
	    for x in input(
	        """Enter the decimal representation of Minterms 'Spaces Separated'\n"""						).split()
	]
	a_      				=						decimal_to_binary(A__  ,      A__						)

	a_      				=						check(A__						)
	print("""Prime Implicants are:"""						)
	print(A__						)
	a_      				=						prime_implicant_chart(A__  ,      A__						)

	a_      				=						selection(A__  ,      A__						)
	print("""Essential Prime Implicants are:"""						)
	print(A__						)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		main()


'''simple docstring'''
from math import log

from scipy.constants import Boltzmann, physical_constants

lowercase__											=3_00  # TEMPERATURE (unit = K)






def      UpperCamelCase_				(      A__  ,      A__  ,      A__  ,      ):

	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()
