





def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     Tuple:
    _enforce_args(a_						,	a_ )
    if n == 0:
        return 0
    lowerCamelCase__    :      Union[str, Any]					 =		float('-inf' )
    for i in range(1						,	n + 1 ):
        lowerCamelCase__    :      Tuple					 =		max(
            a_						,	prices[i - 1] + naive_cut_rod_recursive(n - i						,	a_ ) )

    return max_revue


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     Union[str, Any]:
    _enforce_args(a_						,	a_ )
    lowerCamelCase__    :      str					 =		[float('-inf' ) for _ in range(n + 1 )]
    return _top_down_cut_rod_recursive(a_						,	a_						,	a_ )


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase						,	_UpperCAmelCase )			->     str:



    if max_rev[n] >= 0:
        return max_rev[n]
    elif n == 0:
        return 0
    else:
        lowerCamelCase__    :      int					 =		float('-inf' )
        for i in range(1						,	n + 1 ):
            lowerCamelCase__    :      List[str]					 =		max(
                a_						,	prices[i - 1] + _top_down_cut_rod_recursive(n - i						,	a_						,	a_ )						,	)

        lowerCamelCase__    :      Any					 =		max_revenue

    return max_rev[n]


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     List[str]:
    _enforce_args(a_						,	a_ )

    # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
    # length 0.
    lowerCamelCase__    :      Optional[int]					 =		[float('-inf' ) for _ in range(n + 1 )]
    lowerCamelCase__    :      Union[str, Any]					 =		0

    for i in range(1						,	n + 1 ):
        lowerCamelCase__    :      Optional[Any]					 =		max_rev[i]
        for j in range(1						,	i + 1 ):
            lowerCamelCase__    :      Tuple					 =		max(a_						,	prices[j - 1] + max_rev[i - j] )

        lowerCamelCase__    :      List[Any]					 =		max_revenue_i

    return max_rev[n]


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     int:



    if n < 0:
        lowerCamelCase__    :      Dict					 =		F"""n must be greater than or equal to 0. Got n = {n}"""
        raise ValueError(a_ )

    if n > len(a_ ):
        lowerCamelCase__    :      int					 =		(
            'Each integral piece of rod must have a corresponding price. '
            F"""Got n = {n} but length of prices = {len(a_ )}"""
        )
        raise ValueError(a_ )


def        SCREAMING_SNAKE_CASE      (       )			->     List[str]:
    lowerCamelCase__    :      List[Any]					 =		[6, 10, 12, 15, 20, 23]
    lowerCamelCase__    :      Dict					 =		len(a_ )

    # the best revenue comes from cutting the rod into 6 pieces, each
    # of length 1 resulting in a revenue of 6 * 6 = 36.
    lowerCamelCase__    :      Optional[int]					 =		36

    lowerCamelCase__    :      Tuple					 =		top_down_cut_rod(a_						,	a_ )
    lowerCamelCase__    :      Optional[Any]					 =		bottom_up_cut_rod(a_						,	a_ )
    lowerCamelCase__    :      int					 =		naive_cut_rod_recursive(a_						,	a_ )

    assert expected_max_revenue == max_rev_top_down
    assert max_rev_top_down == max_rev_bottom_up
    assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
    main()







SCREAMING_SNAKE_CASE							:Any							 =				256
# Modulus to hash a string
SCREAMING_SNAKE_CASE							:Union[str, Any]							 =				100_0003


def 						UpperCAmelCase			(	a_		,   a_						)		->	bool:







				"""simple docstring"""



				__A   			= len(a_						)
				__A   			= len(a_						)
				if p_len > t_len:
								return False

				__A   			= 0
				__A   			= 0
				__A   			= 1

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


def 						UpperCAmelCase			(	)		->	None:







				"""simple docstring"""



				__A   			= "abc1abc12"
				__A   			= "alskfjaldsabc1abc1abc12k23adsfabcabc"
				__A   			= "alskfjaldsk23adsfabcabc"
				assert rabin_karp(a_		,   a_						) and not rabin_karp(a_		,   a_						)

				# Test 2)
				__A   			= "ABABX"
				__A   			= "ABABZABABYABABX"
				assert rabin_karp(a_		,   a_						)

				# Test 3)
				__A   			= "AAAB"
				__A   			= "ABAAAAAB"
				assert rabin_karp(a_		,   a_						)

				# Test 4)
				__A   			= "abcdabcy"
				__A   			= "abcxabcdabxabcdabcdabcy"
				assert rabin_karp(a_		,   a_						)

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


if __name__ == "__main__":
					test_rabin_karp()
