
def 			A_			(					lowercase						, lowercase						, lowercase						, lowercase      )     ->							Union[str, Any]:


     """simple docstring"""







     if start == end:
          return start if lst[start] > item else start + 1
     if start > end:
          return start

     UpperCAmelCase_						:    Optional[int]    					=  (start + end) // 2
     if lst[mid] < item:
          return binary_search(lowercase						, lowercase						, mid + 1						, lowercase      )
     elif lst[mid] > item:
          return binary_search(lowercase						, lowercase						, lowercase						, mid - 1      )
     else:
          return mid




def 			A_			(					lowercase      )     ->							Union[str, Any]:


     """simple docstring"""







     UpperCAmelCase_						:    List[str]    					=  len(lowercase      )

     for index in range(1						, lowercase      ):
          UpperCAmelCase_						:    List[str]    					=  lst[index]
          UpperCAmelCase_						:    Dict    					=  binary_search(lowercase						, lowercase						, 0						, index - 1      )
          UpperCAmelCase_						:    Union[str, Any]    					=  lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

     return lst




def 			A_			(					lowercase						, lowercase      )     ->							Union[str, Any]:


     """simple docstring"""







     if not left:
          return right

     if not right:
          return left

     if left[0] < right[0]:
          return [left[0], *merge(left[1:]						, lowercase      )]

     return [right[0], *merge(lowercase						, right[1:]      )]




def 			A_			(					lowercase      )     ->							Dict:


     """simple docstring"""







     UpperCAmelCase_						:    List[Any]    					=  len(lowercase      )
     UpperCAmelCase_					,UpperCAmelCase_						:    Tuple    					=  [], []
     UpperCAmelCase_						:    Dict    					=  [lst[0]]
     UpperCAmelCase_						:    Optional[int]    					=  []
     UpperCAmelCase_						:    Dict    					=  1
     while i < length:
          if lst[i] < lst[i - 1]:
               runs.append(lowercase      )
               UpperCAmelCase_						:    Dict    					=  [lst[i]]
          else:
               new_run.append(lst[i]      )
          i += 1
     runs.append(lowercase      )

     for run in runs:
          sorted_runs.append(insertion_sort(lowercase      )      )
     for run in sorted_runs:
          UpperCAmelCase_						:    Any    					=  merge(lowercase						, lowercase      )

     return sorted_array




def 			A_			(					)     ->							Dict:


     """simple docstring"""







     UpperCAmelCase_						:    Any    					=  [5, 9, 10, 3, -4, 5, 178, 92, 46, -18, 0, 7]
     UpperCAmelCase_						:    Union[str, Any]    					=  tim_sort(lowercase      )
     print(lowercase      )


if __name__ == "__main__":
       main()



"""simple docstring"""







def 			A_			(					lowercase = 99_8001      )     ->							int:


     """simple docstring"""







     for number in range(n - 1						, 9999						, -1      ):
          UpperCAmelCase_						:    Union[str, Any]    					=  str(lowercase      )

          # checks whether 'str_number' is a palindrome.
          if str_number == str_number[::-1]:
               UpperCAmelCase_						:    List[str]    					=  999

               # if 'number' is a product of two 3-digit numbers
               # then number is the answer otherwise fetch next number.
               while divisor != 99:
                    if (number % divisor == 0) and (len(str(number // divisor      )      ) == 3.0):
                         return number
                    divisor -= 1
     raise ValueError("""That number is larger than our acceptable range."""      )


if __name__ == "__main__":
       print(f"""{solution() = }""")

