


"""simple docstring"""


import os

import numpy
import onnx




def   snake_case		(     UpperCamelCase__       :						List[str]			,				UpperCamelCase__       :						Dict    )   ->      Tuple:
      lowerCamelCase					:					Optional[Any]        =	a.name
      lowerCamelCase					:					Any        =	b.name

      lowerCamelCase					:					List[str]        =	""""""
      lowerCamelCase					:					Optional[Any]        =	""""""

      lowerCamelCase					:					Optional[Any]        =	a == b

      lowerCamelCase					:					Optional[int]        =	name_a
      lowerCamelCase					:					List[Any]        =	name_b

      return res




def   snake_case		(     UpperCamelCase__       :						int			,				UpperCamelCase__       :						Union[str, Any]			,				UpperCamelCase__       :						int    )   ->      Optional[Any]:
      for i, input_name in enumerate(node_proto.input    ):
            if input_name == name:
                  node_proto.input.insert(UpperCamelCase__			,				UpperCamelCase__    )
                  node_proto.input.pop(i + 1    )

      if node_proto.op_type == "If":
            _graph_replace_input_with(node_proto.attribute[0].g			,				UpperCamelCase__			,				UpperCamelCase__    )
            _graph_replace_input_with(node_proto.attribute[1].g			,				UpperCamelCase__			,				UpperCamelCase__    )
      if node_proto.op_type == "Loop":
            _graph_replace_input_with(node_proto.attribute[0].g			,				UpperCamelCase__			,				UpperCamelCase__    )




def   snake_case		(     UpperCamelCase__       :						List[str]			,				UpperCamelCase__       :						Tuple			,				UpperCamelCase__       :						str    )   ->      List[str]:
      for n in graph_proto.node:
            _node_replace_input_with(UpperCamelCase__			,				UpperCamelCase__			,				UpperCamelCase__    )




def   snake_case		(     UpperCamelCase__       :						int			,				UpperCamelCase__       :						Dict			,				UpperCamelCase__       :						Dict    )   ->      str:
      lowerCamelCase					:					Tuple        =	list(model.graph.initializer    )
      lowerCamelCase					:					List[str]        =	list(model_without_ext.graph.initializer    )
      for i, ref_i in ind_to_replace:
            assert inits_with_data[i].name == inits[i].name
            assert inits_with_data[ref_i].name == inits[ref_i].name
            assert i > ref_i

            lowerCamelCase					:					Any        =	inits[i].name
            lowerCamelCase					:					List[str]        =	inits[ref_i].name

            model_without_ext.graph.initializer.remove(inits[i]    )

            # for n in model.graph.node:
            _graph_replace_input_with(model_without_ext.graph			,				UpperCamelCase__			,				UpperCamelCase__    )






def   snake_case		(     UpperCamelCase__       :						Optional[Any]    )   ->      int:
      lowerCamelCase					:					Dict        =	os.path.dirname(UpperCamelCase__    )
      lowerCamelCase					:					Tuple        =	os.path.basename(UpperCamelCase__    )

      lowerCamelCase					:					Union[str, Any]        =	onnx.load(os.path.join(UpperCamelCase__			,				UpperCamelCase__    )    )

      lowerCamelCase					:					Any        =	list(model.graph.initializer    )

      lowerCamelCase					:					str        =	set()
      lowerCamelCase					:					Optional[Any]        =	{}
      lowerCamelCase					:					int        =	[]

      lowerCamelCase					:					List[Any]        =	0

      for i in range(len(UpperCamelCase__    )    ):
            if i in dup_set:
                  continue

            for j in range(i + 1			,				len(UpperCamelCase__    )    ):
                  if j in dup_set:
                        continue
                  if _is_equal_tensor_proto(inits[i]			,				inits[j]    ):
                        dup_set.add(UpperCamelCase__    )
                        dup_set.add(UpperCamelCase__    )

                        lowerCamelCase					:					Tuple        =	inits[j].data_type
                        lowerCamelCase					:					Dict        =	numpy.prod(inits[j].dims    )
                        if dtype == 1:
                              mem_size *= 4
                        elif dtype == 6:
                              mem_size *= 4
                        elif dtype == 7 or dtype == 11:
                              mem_size *= 8
                        else:
                              print("""unexpected data type: """			,				UpperCamelCase__    )
                        total_reduced_size += mem_size

                        lowerCamelCase					:					Optional[Any]        =	inits[i].name
                        lowerCamelCase					:					Tuple        =	inits[j].name

                        if name_i in dup_map:
                              dup_map[name_i].append(UpperCamelCase__    )
                        else:
                              lowerCamelCase					:					Dict        =	[name_j]
                        ind_to_replace.append((j, i)    )

      print("""total reduced size: """			,				total_reduced_size / 1024 / 1024 / 1024			,				"""GB"""    )

      lowerCamelCase					:					List[str]        =	sorted(UpperCamelCase__    )
      _remove_dup_initializers_from_model(UpperCamelCase__			,				UpperCamelCase__			,				UpperCamelCase__    )

      lowerCamelCase					:					int        =	"""optimized_""" + model_file_name
      lowerCamelCase					:					Dict        =	os.path.join(UpperCamelCase__			,				UpperCamelCase__    )
      onnx.save(UpperCamelCase__			,				UpperCamelCase__    )

      return new_model










"""simple docstring"""


from __future__ import annotations

import math




def   snake_case		(     UpperCamelCase__       :						float			,				UpperCamelCase__       :						int    )   ->      float:
      lowerCamelCase					:					Dict        =	u
      for i in range(1			,				UpperCamelCase__    ):
            lowerCamelCase					:					List[str]        =	temp * (u - i)
      return temp




def   snake_case		(     )   ->      None:
      lowerCamelCase					:					List[Any]        =	int(input("""enter the numbers of values: """    )    )
      lowerCamelCase					:					list[list[float]]        =	[]
      for _ in range(UpperCamelCase__    ):
            y.append([]    )
      for i in range(UpperCamelCase__    ):
            for j in range(UpperCamelCase__    ):
                  y[i].append(UpperCamelCase__    )
                  lowerCamelCase					:					Union[str, Any]        =	0

      print("""enter the values of parameters in a list: """    )
      lowerCamelCase					:					Any        =	list(map(UpperCamelCase__			,				input().split()    )    )

      print("""enter the values of corresponding parameters: """    )
      for i in range(UpperCamelCase__    ):
            lowerCamelCase					:					int        =	float(input()    )

      lowerCamelCase					:					Dict        =	int(input("""enter the value to interpolate: """    )    )
      lowerCamelCase					:					List[Any]        =	(value - x[0]) / (x[1] - x[0])

      # for calculating forward difference table

      for i in range(1			,				UpperCamelCase__    ):
            for j in range(n - i    ):
                  lowerCamelCase					:					str        =	y[j + 1][i - 1] - y[j][i - 1]

      lowerCamelCase					:					Any        =	y[0][0]
      for i in range(1			,				UpperCamelCase__    ):
            summ += (ucal(UpperCamelCase__			,				UpperCamelCase__    ) * y[0][i]) / math.factorial(UpperCamelCase__    )

      print(F'the value at {value} is {summ}'    )


if __name__ == "__main__":
    main()




