


'''simple docstring'''


import ast
import difflib
from collections.abc import Mapping
from typing import Any, Callable, Dict







class        __magic_name__  (					lowerCAmelCase   ):

     """simple docstring"""






     pass


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE=None					,				SCREAMING_SNAKE_CASE=False       ):




     '''simple docstring'''





     try:
          __A  :					List[Any]						     =       ast.parse(SCREAMING_SNAKE_CASE       )
     except SyntaxError as e:
          print("The code generated by the agent is not valid.\n"					,				SCREAMING_SNAKE_CASE       )
          return
     if state is None:
          __A  :					str						     =       {}
     __A  :					int						     =       None
     for idx, node in enumerate(expression.body       ):
          try:
               __A  :					List[str]						     =       evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
          except InterpretorError as e:
               __A  :					List[str]						     =       f"Evaluation of the code stopped at line {idx} before the end because of the following error"
               if chat_mode:
                    msg += (
                        f". Copy paste the following error message and send it back to the agent:\nI get an error: '{e}'"
                    )
               else:
                    msg += f":\n{e}"
               print(SCREAMING_SNAKE_CASE       )
               break
          if line_result is not None:
               __A  :					Tuple						     =       line_result

     return result


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     if isinstance(SCREAMING_SNAKE_CASE					,				ast.Assign       ):
          # Assignement -> we evaluate the assignement which should update the state
          # We return the variable assigned as it may be used to determine the final result.
          return evaluate_assign(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Call       ):
          # Function call -> we return the value of the function call
          return evaluate_call(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Constant       ):
          # Constant -> just return the value
          return expression.value
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Dict       ):
          # Dict -> evaluate all keys and values
          __A  :					Union[str, Any]						     =       [evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) for k in expression.keys]
          __A  :					Tuple						     =       [evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) for v in expression.values]
          return dict(zip(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Expr       ):
          # Expression -> evaluate the content
          return evaluate_ast(expression.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.For       ):
          # For loop -> execute the loop
          return evaluate_for(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.FormattedValue       ):
          # Formatted value (part of f-string) -> evaluate the content and return
          return evaluate_ast(expression.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.If       ):
          # If -> execute the right branch
          return evaluate_if(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif hasattr(SCREAMING_SNAKE_CASE					,				"Index"       ) and isinstance(SCREAMING_SNAKE_CASE					,				ast.Index       ):
          return evaluate_ast(expression.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.JoinedStr       ):
          return "".join([str(evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )       ) for v in expression.values]       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.List       ):
          # List -> evaluate all elements
          return [evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) for elt in expression.elts]
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Name       ):
          # Name -> pick up the value in the state
          return evaluate_name(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Subscript       ):
          # Subscript -> return the value of the indexing
          return evaluate_subscript(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     else:
          # For now we refuse anything else. Let's add things as we need them.
          raise InterpretorError(f"{expression.__class__.__name__} is not supported."       )


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Optional[Any]						     =       assign.targets
     __A  :					Tuple						     =       evaluate_ast(assign.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )

     if len(SCREAMING_SNAKE_CASE       ) == 1:
          __A  :					Union[str, Any]						     =       result
     else:
          if len(SCREAMING_SNAKE_CASE       ) != len(SCREAMING_SNAKE_CASE       ):
               raise InterpretorError(f"Expected {len(SCREAMING_SNAKE_CASE       )} values but got {len(SCREAMING_SNAKE_CASE       )}."       )
          for var_name, r in zip(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):
               __A  :					Optional[Any]						     =       r
     return result


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     if not isinstance(call.func					,				ast.Name       ):
          raise InterpretorError(
              f"It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func} of "
              f"type {type(call.func       )}."       )
     __A  :					Union[str, Any]						     =       call.func.id
     if func_name not in tools:
          raise InterpretorError(
              f"It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func.id})."       )

     __A  :					Optional[Any]						     =       tools[func_name]
     # Todo deal with args
     __A  :					Any						     =       [evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) for arg in call.args]
     __A  :					Optional[int]						     =       {keyword.arg: evaluate_ast(keyword.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) for keyword in call.keywords}
     return func(*SCREAMING_SNAKE_CASE					,				**SCREAMING_SNAKE_CASE       )


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					int						     =       evaluate_ast(subscript.slice					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     __A  :					Optional[int]						     =       evaluate_ast(subscript.value					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     if isinstance(SCREAMING_SNAKE_CASE					,				(list, tuple)       ):
          return value[int(SCREAMING_SNAKE_CASE       )]
     if index in value:
          return value[index]
     if isinstance(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ) and isinstance(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):
          __A  :					Optional[Any]						     =       difflib.get_close_matches(SCREAMING_SNAKE_CASE					,				list(value.keys()       )       )
          if len(SCREAMING_SNAKE_CASE       ) > 0:
               return value[close_matches[0]]

     raise InterpretorError(f"Could not index {value} with '{index}'."       )


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     if name.id in state:
          return state[name.id]
     __A  :					Optional[int]						     =       difflib.get_close_matches(name.id					,				list(state.keys()       )       )
     if len(SCREAMING_SNAKE_CASE       ) > 0:
          return state[close_matches[0]]
     raise InterpretorError(f"The variable `{name.id}` is not defined."       )


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     if len(condition.ops       ) > 1:
          raise InterpretorError("Cannot evaluate conditions with multiple operators"       )

     __A  :					Optional[int]						     =       evaluate_ast(condition.left					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     __A  :					List[Any]						     =       condition.ops[0]
     __A  :					Optional[Any]						     =       evaluate_ast(condition.comparators[0]					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )

     if isinstance(SCREAMING_SNAKE_CASE					,				ast.Eq       ):
          return left == right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.NotEq       ):
          return left != right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Lt       ):
          return left < right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.LtE       ):
          return left <= right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Gt       ):
          return left > right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.GtE       ):
          return left >= right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.Is       ):
          return left is right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.IsNot       ):
          return left is not right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.In       ):
          return left in right
     elif isinstance(SCREAMING_SNAKE_CASE					,				ast.NotIn       ):
          return left not in right
     else:
          raise InterpretorError(f"Operator not supported: {comparator}"       )


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					int						     =       None
     if evaluate_condition(if_statement.test					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):
          for line in if_statement.body:
               __A  :					List[Any]						     =       evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
               if line_result is not None:
                    __A  :					Dict						     =       line_result
     else:
          for line in if_statement.orelse:
               __A  :					Any						     =       evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
               if line_result is not None:
                    __A  :					Optional[int]						     =       line_result
     return result






def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Any						     =       None
     __A  :					Dict						     =       evaluate_ast(for_loop.iter					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     for counter in iterator:
          __A  :					str						     =       counter
          for expression in for_loop.body:
               __A  :					Dict						     =       evaluate_ast(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
               if line_result is not None:
                    __A  :					List[Any]						     =       line_result
     return result






'''simple docstring'''


from __future__ import annotations

import random

# Adjacency list representation of this graph:
# https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
_UpperCamelCase          =     {
    """1""": ["""2""", """3""", """4""", """5"""],
    """2""": ["""1""", """3""", """4""", """5"""],
    """3""": ["""1""", """2""", """4""", """5""", """10"""],
    """4""": ["""1""", """2""", """3""", """5""", """6"""],
    """5""": ["""1""", """2""", """3""", """4""", """7"""],
    """6""": ["""7""", """8""", """9""", """10""", """4"""],
    """7""": ["""6""", """8""", """9""", """10""", """5"""],
    """8""": ["""6""", """7""", """9""", """10"""],
    """9""": ["""6""", """7""", """8""", """10"""],
    """10""": ["""6""", """7""", """8""", """9""", """3"""],
}


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Any						     =       {node: {node} for node in graph}

     __A  :					List[str]						     =       {node: graph[node][:] for node in graph}

     while len(SCREAMING_SNAKE_CASE       ) > 2:
          # Choose a random edge.
          __A  :					Tuple						     =       random.choice(list(graph_copy.keys()       )       )
          __A  :					Any						     =       random.choice(graph_copy[u]       )

          # Contract edge (u, v) to new node uv
          __A  :					str						     =       u + v
          __A  :					Any						     =       list(set(graph_copy[u] + graph_copy[v]       )       )
          uv_neighbors.remove(SCREAMING_SNAKE_CASE       )
          uv_neighbors.remove(SCREAMING_SNAKE_CASE       )
          __A  :					Any						     =       uv_neighbors
          for neighbor in uv_neighbors:
               graph_copy[neighbor].append(SCREAMING_SNAKE_CASE       )

          __A  :					str						     =       set(contracted_nodes[u].union(contracted_nodes[v]       )       )

          # Remove nodes u and v.
          del graph_copy[u]
          del graph_copy[v]
          for neighbor in uv_neighbors:
               if u in graph_copy[neighbor]:
                    graph_copy[neighbor].remove(SCREAMING_SNAKE_CASE       )
               if v in graph_copy[neighbor]:
                    graph_copy[neighbor].remove(SCREAMING_SNAKE_CASE       )

    # Find cutset.
     __A  :					int						     =       [contracted_nodes[node] for node in graph_copy]
     return {
         (node, neighbor)
         for node in groups[0]
         for neighbor in graph[node]
         if neighbor in groups[1]
     }


if __name__ == "__main__":
      print(partition_graph(TEST_GRAPH))

