





from __future__ import annotations

# This is the precision for this function which can be altered.
# It is recommended for users to keep this number greater than or equal to 10.
_UpperCAmelCase        =				1_0




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       for i in range(UpperCamelCase_					,		UpperCamelCase_  ):
              if array[i] == target:
                     return i
       return -1




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       UpperCamelCase_          =  0
       UpperCamelCase_          =  len(UpperCamelCase_  )
       while left <= right:
              if right - left < precision:
                     return lin_search(UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )

              UpperCamelCase_          =  (left + right) // 3 + 1
              UpperCamelCase_          =  2 * (left + right) // 3 + 1

              if array[one_third] == target:
                     return one_third
              elif array[two_third] == target:
                     return two_third

              elif target < array[one_third]:
                     UpperCamelCase_          =  one_third - 1
              elif array[two_third] < target:
                     UpperCamelCase_          =  two_third + 1

              else:
                     UpperCamelCase_          =  one_third + 1
                     UpperCamelCase_          =  two_third - 1
       else:
              return -1




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       if left < right:
              if right - left < precision:
                     return lin_search(UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )
              UpperCamelCase_          =  (left + right) // 3 + 1
              UpperCamelCase_          =  2 * (left + right) // 3 + 1

              if array[one_third] == target:
                     return one_third
              elif array[two_third] == target:
                     return two_third

              elif target < array[one_third]:
                     return rec_ternary_search(UpperCamelCase_					,		one_third - 1					,		UpperCamelCase_					,		UpperCamelCase_  )
              elif array[two_third] < target:
                     return rec_ternary_search(two_third + 1					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )
              else:
                     return rec_ternary_search(one_third + 1					,		two_third - 1					,		UpperCamelCase_					,		UpperCamelCase_  )
       else:
              return -1


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     _UpperCAmelCase        =				input('Enter numbers separated by comma:\n').strip()
     _UpperCAmelCase        =				[int(item.strip()) for item in user_input.split(',')]
     assert collection == sorted(collection), f"List must be ordered.\n{collection}."
     _UpperCAmelCase        =				int(input('Enter the number to be found in the list:\n').strip())
     _UpperCAmelCase        =				ite_ternary_search(collection, target)
     _UpperCAmelCase        =				rec_ternary_search(0, len(collection) - 1, collection, target)
     if resulta != -1:
          print(f'''Iterative search: {target} found at positions: {resulta}''')
          print(f'''Recursive search: {target} found at positions: {resulta}''')
     else:
          print('Not found')








import sys




def  lowerCAmelCase_ (							UpperCamelCase_  )     ->		Union[str, Any]:
       UpperCamelCase_          =  len(UpperCamelCase_  )
       UpperCamelCase_          =  [[0 for x in range(UpperCamelCase_  )] for x in range(UpperCamelCase_  )]
       UpperCamelCase_          =  [[0 for x in range(UpperCamelCase_  )] for x in range(UpperCamelCase_  )]

       for chain_length in range(2					,		UpperCamelCase_  ):
              for a in range(1					,		n - chain_length + 1  ):
                     UpperCamelCase_          =  a + chain_length - 1

                     UpperCamelCase_          =  sys.maxsize
                     for c in range(UpperCamelCase_					,		UpperCamelCase_  ):
                            UpperCamelCase_          =  (
                                matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
                            )
                            if cost < matrix[a][b]:
                                   UpperCamelCase_          =  cost
                                   UpperCamelCase_          =  c
       return matrix, sol




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		List[str]:
       if i == j:
              print("A" + str(UpperCamelCase_  )					,		end=" "  )
       else:
              print("("					,		end=" "  )
              print_optiomal_solution(UpperCamelCase_					,		UpperCamelCase_					,		optimal_solution[i][j]  )
              print_optiomal_solution(UpperCamelCase_					,		optimal_solution[i][j] + 1					,		UpperCamelCase_  )
              print(")"					,		end=" "  )




def  lowerCAmelCase_ (							)     ->		Any:
       UpperCamelCase_          =  [30, 35, 15, 5, 10, 20, 25]
       UpperCamelCase_          =  len(UpperCamelCase_  )
       # Size of matrix created from above array will be
       # 30*35 35*15 15*5 5*10 10*20 20*25
       UpperCamelCase_       , UpperCamelCase_          =  matrix_chain_order(UpperCamelCase_  )

       print("No. of Operation required: " + str(matrix[1][n - 1]  )  )
       print_optiomal_solution(UpperCamelCase_					,		1					,		n - 1  )


if __name__ == "__main__":
     main()

