

_lowerCamelCase    :       Optional[Any]        =							2_5_6
# Modulus to hash a string
_lowerCamelCase    :       Tuple        =							1_0_0_0_0_0_3

def       a__					(		UpperCAmelCase							:      str    ,			UpperCAmelCase							:      str      )  ->						bool:
  UpperCAmelCase	:							Dict						=			len(UpperCAmelCase      )
  UpperCAmelCase	:							Any						=			len(UpperCAmelCase      )
  if p_len > t_len:
    return False

  UpperCAmelCase	:							Union[str, Any]						=			0
  UpperCAmelCase	:							Any						=			0
  UpperCAmelCase	:							List[str]						=			1

  # Calculating the hash of pattern and substring of text
  for i in range(UpperCAmelCase      ):
    UpperCAmelCase	:							Any						=			(ord(pattern[i]      ) + p_hash * alphabet_size) % modulus
    UpperCAmelCase	:							List[str]						=			(ord(text[i]      ) + text_hash * alphabet_size) % modulus
    if i == p_len - 1:
      continue
    UpperCAmelCase	:							Optional[Any]						=			(modulus_power * alphabet_size) % modulus

  for i in range(0    ,			t_len - p_len + 1      ):
    if text_hash == p_hash and text[i : i + p_len] == pattern:
      return True
    if i == t_len - p_len:
      continue
    # Calculate the https://en.wikipedia.org/wiki/Rolling_hash
    UpperCAmelCase	:							Any						=			(
        (text_hash - ord(text[i]      ) * modulus_power) * alphabet_size
        + ord(text[i + p_len]      )
    ) % modulus
  return False

def       a__					(		)  ->						None:
  UpperCAmelCase	:							Optional[Any]						=			'''abc1abc12'''
  UpperCAmelCase	:							List[str]						=			'''alskfjaldsabc1abc1abc12k23adsfabcabc'''
  UpperCAmelCase	:							Tuple						=			'''alskfjaldsk23adsfabcabc'''
  assert rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      ) and not rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )

  # Test 2)
  UpperCAmelCase	:							int						=			'''ABABX'''
  UpperCAmelCase	:							Dict						=			'''ABABZABABYABABX'''
  assert rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )

  # Test 3)
  UpperCAmelCase	:							int						=			'''AAAB'''
  UpperCAmelCase	:							List[Any]						=			'''ABAAAAAB'''
  assert rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )

  # Test 4)
  UpperCAmelCase	:							Optional[int]						=			'''abcdabcy'''
  UpperCAmelCase	:							List[str]						=			'''abcxabcdabxabcdabcdabcy'''
  assert rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )

  # Test 5)
  UpperCAmelCase	:							int						=			'''Lü'''
  UpperCAmelCase	:							int						=			'''Lüsai'''
  assert rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )
  UpperCAmelCase	:							str						=			'''Lue'''
  assert not rabin_karp(UpperCAmelCase    ,			UpperCAmelCase      )
  print('''Success.'''      )


if __name__ == "__main__":
     test_rabin_karp()








from math import log

from scipy.constants import Boltzmann, physical_constants

_lowerCamelCase    :       Tuple        =							3_0_0  # TEMPERATURE (unit = K)

def       a__					(		UpperCAmelCase							:      float    ,			UpperCAmelCase							:      float    ,			UpperCAmelCase							:      float    ,			)  ->						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()





