





UpperCAmelCase__						:			Dict									=2_56
# Modulus to hash a string
UpperCAmelCase__						:			Optional[int]									=1_00_00_03





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase				)						->  bool:
				lowerCamelCase	 =len(_UpperCAmelCase				)
				lowerCamelCase	 =len(_UpperCAmelCase				)
				if p_len > t_len:
								return False

				lowerCamelCase	 =0
				lowerCamelCase	 =0
				lowerCamelCase	 =1

				# Calculating the hash of pattern and substring of text
				for i in range(_UpperCAmelCase				):
								lowerCamelCase	 =(ord(pattern[i]				) + p_hash * alphabet_size) % modulus
								lowerCamelCase	 =(ord(text[i]				) + text_hash * alphabet_size) % modulus
								if i == p_len - 1:
												continue
								lowerCamelCase	 =(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
								lowerCamelCase	 =(
								    (text_hash - ord(text[i]				) * modulus_power) * alphabet_size
								    + ord(text[i + p_len]				)
								) % modulus
				return False





def      _lowercase					(						)						->  None:
				lowerCamelCase	 ="""abc1abc12"""
				lowerCamelCase	 ="""alskfjaldsabc1abc1abc12k23adsfabcabc"""
				lowerCamelCase	 ="""alskfjaldsk23adsfabcabc"""
				assert rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				) and not rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)

				# Test 2)
				lowerCamelCase	 ="""ABABX"""
				lowerCamelCase	 ="""ABABZABABYABABX"""
				assert rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)

				# Test 3)
				lowerCamelCase	 ="""AAAB"""
				lowerCamelCase	 ="""ABAAAAAB"""
				assert rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)

				# Test 4)
				lowerCamelCase	 ="""abcdabcy"""
				lowerCamelCase	 ="""abcxabcdabxabcdabcdabcy"""
				assert rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)

				# Test 5)
				lowerCamelCase	 ="""Lü"""
				lowerCamelCase	 ="""Lüsai"""
				assert rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)
				lowerCamelCase	 ="""Lue"""
				assert not rabin_karp(_UpperCAmelCase			,      _UpperCAmelCase				)
				print("""Success."""				)


if __name__ == "__main__":
							test_rabin_karp()













def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase				)						->  List[str]:
				lowerCamelCase	 =[0 for i in range(r + 1				)]
				# nc0 = 1
				lowerCamelCase	 =1
				for i in range(1			,      n + 1				):
								# to compute current row from previous row.
								lowerCamelCase	 =min(_UpperCAmelCase			,      _UpperCAmelCase				)
								while j > 0:
												c[j] += c[j - 1]
												j -= 1
				return c[r]




print(binomial_coefficient(n=10, r=5))





