


from math import ceil



def 			lowerCAmelCase (		lowerCAmelCase_ = 1_001 )-> int:
				lowerCAmelCase_ :      int    				=				1

				for i in range(1 ,   int(ceil(n / 2.0 ) ) ):
								lowerCAmelCase_ :      Union[str, Any]    				=				2 * i + 1
								lowerCAmelCase_ :      List[str]    				=				2 * i
								lowerCAmelCase_ :      Dict    				=				total + 4 * odd**2 - 6 * even

				return total


if __name__ == "__main__":
						import sys

						if len(sys.argv) == 1:
												print(solution())
						else:
												try:
																		_UpperCAmelCase			:  Dict     =int(sys.argv[1])
																		print(solution(n))
												except ValueError:
																		print("""Invalid entry - please enter a number""")



_UpperCAmelCase			:  int     =frozenset(
    [
        """prompt""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

_UpperCAmelCase			:  List[Any]     =frozenset(["""prompt""", """negative_prompt"""])

_UpperCAmelCase			:  Dict     =frozenset([])

_UpperCAmelCase			:  int     =frozenset(["""image"""])

_UpperCAmelCase			:  Tuple     =frozenset(
    [
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

_UpperCAmelCase			:  int     =frozenset(["""image"""])

_UpperCAmelCase			:  str     =frozenset(
    [
        """prompt""",
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

_UpperCAmelCase			:  int     =frozenset(["""prompt""", """image""", """negative_prompt"""])

_UpperCAmelCase			:  Optional[int]     =frozenset(
    [
        # Text guided image variation with an image mask
        """prompt""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

_UpperCAmelCase			:  Optional[int]     =frozenset(["""prompt""", """image""", """mask_image""", """negative_prompt"""])

_UpperCAmelCase			:  Optional[Any]     =frozenset(
    [
        # image variation with an image mask
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

_UpperCAmelCase			:  Optional[Any]     =frozenset(["""image""", """mask_image"""])

_UpperCAmelCase			:  Union[str, Any]     =frozenset(
    [
        """example_image""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

_UpperCAmelCase			:  Tuple     =frozenset(["""example_image""", """image""", """mask_image"""])

_UpperCAmelCase			:  Any     =frozenset(["""class_labels"""])

_UpperCAmelCase			:  List[Any]     =frozenset(["""class_labels"""])

_UpperCAmelCase			:  int     =frozenset(["""batch_size"""])

_UpperCAmelCase			:  str     =frozenset([])

_UpperCAmelCase			:  str     =frozenset(["""batch_size"""])

_UpperCAmelCase			:  Optional[Any]     =frozenset([])

_UpperCAmelCase			:  Tuple     =frozenset(
    [
        """prompt""",
        """audio_length_in_s""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

_UpperCAmelCase			:  Tuple     =frozenset(["""prompt""", """negative_prompt"""])
_UpperCAmelCase			:  List[str]     =frozenset(["""input_tokens"""])

_UpperCAmelCase			:  Optional[Any]     =frozenset(["""input_tokens"""])