


"""simple docstring"""







from functools import lru_cache
@lru_cache
def _A		(		lowercase						):







    """simple docstring"""
    if not isinstance(lowercase			,       lowercase						):
        raise TypeError('''k must be an integer.'''						)
    if k < 0:
        raise ValueError('''k integer must be greater or equal to zero.'''						)
    if k == 0:
        return 0
    elif k == 1:
        return 1
    else:
        return fibonacci(k - 1						) + fibonacci(k - 2						)
def _A		(		lowercase			,       lowercase						):







    """simple docstring"""
    a											=len(lowercase						)
    # Find m such that F_m >= n where F_i is the i_th fibonacci number.
    a											=0
    while True:
        if fibonacci(lowercase						) >= len_list:
            a											=i
            break
        i += 1
    a											=0
    while fibb_k > 0:
        a											=min(
            offset + fibonacci(fibb_k - 1						)			,       len_list - 1						)  # Prevent out of range
        a											=arr[index_k]
        if item_k_1 == val:
            return index_k
        elif val < item_k_1:
            fibb_k -= 1
        elif val > item_k_1:
            offset += fibonacci(fibb_k - 1						)
            fibb_k -= 2
    else:
        return -1


if __name__ == "__main__":
       import doctest

       doctest.testmod()



"""simple docstring"""







def _A		(		lowercase						):







    """simple docstring"""
    a											=[]
    a											=1

    for i in range(len(lowercase						)						):
        if i + 1 < len(lowercase						) and text[i] == text[i + 1]:
            count += 1
        else:
            encoded.append((text[i], count)						)
            a											=1

    return encoded
def _A		(		lowercase						):







    """simple docstring"""
    return "".join(char * length for char, length in encoded						)


if __name__ == "__main__":
       from doctest import testmod

       testmod(name="""run_length_encode""", verbose=True)
       testmod(name="""run_length_decode""", verbose=True)