


def 						_A						(						_lowercase      ) ->      bool:


     """simple docstring"""


     return str(UpperCamelCase__      ) == str(UpperCamelCase__      )[::-1]






def 						_A						(						_lowercase      ) ->      int:


     """simple docstring"""


     return int(UpperCamelCase__      ) + int(str(UpperCamelCase__      )[::-1]      )






def 						_A						(						_lowercase = 1_00_00      ) ->      int:


     """simple docstring"""


     __UpperCamelCase      =       []
     for num in range(1 ,   UpperCamelCase__      ):
          __UpperCamelCase      =       0
          __UpperCamelCase      =       num
          while iterations < 50:
               __UpperCamelCase      =       sum_reverse(UpperCamelCase__      )
               iterations += 1
               if is_palindrome(UpperCamelCase__      ):
                    break
          else:
               lychrel_nums.append(UpperCamelCase__      )
     return len(UpperCamelCase__      )


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









from __future__ import annotations

from collections.abc import Callable





def 						__SCREAMING_SNAKE_CASE  (				UpperCamelCase__			,			UpperCamelCase__			,			UpperCamelCase__			,			UpperCamelCase__ = 100			,			)  ->				float:







			'''simple docstring'''

			UpperCAmelCase   		=				x_start
			UpperCAmelCase   		=				fnc(UpperCamelCase__ )
			UpperCAmelCase   		=				0.0
			for _ in range(UpperCamelCase__ ):
						# Approximates small segments of curve as linear and solve
						# for trapezoidal area
						UpperCAmelCase   		=				(x_end - x_start) / steps + xa
						UpperCAmelCase   		=				fnc(UpperCamelCase__ )
						area += abs(fxa + fxa ) * (xa - xa) / 2
						# Increment step
						UpperCAmelCase   		=				xa
						UpperCAmelCase   		=				fxa
			return area


if __name__ == "__main__":





				def 						__SCREAMING_SNAKE_CASE  (				UpperCamelCase__ )  ->				str:







							'''simple docstring'''

							return x**3 + x**2

				print("f(x) = x^3 + x^2")
				print("The area between the curve, x = -5, x = 5 and the x axis is:")
				__A				:    List[Any]       =   10
				while i <= 100_000:
								print(F'with {i} steps: {trapezoidal_area(f, -5, 5, i)}')
								i *= 10



