





"""simple docstring"""

def lowerCAmelCase_      (				UpperCamelCase__	: Any				,   UpperCamelCase__	: int ):






 """simple docstring"""







 __lowercase									=	(boundary[1] - boundary[0]) / steps
 __lowercase									=	boundary[0]
 __lowercase									=	boundary[1]
 __lowercase									=	make_points(UpperCamelCase__				,   UpperCamelCase__				,   UpperCamelCase__ )
 __lowercase									=	0.0
 y += (h / 2.0) * f(UpperCamelCase__ )
 for i in x_i:
  # print(i)
  y += h * f(UpperCamelCase__ )
 y += (h / 2.0) * f(UpperCamelCase__ )
 return y


def lowerCAmelCase_      (				UpperCamelCase__	: Tuple				,   UpperCamelCase__	: Tuple				,   UpperCamelCase__	: Dict ):






 """simple docstring"""







 __lowercase									=	a + h
 while x < (b - h):
  yield x
  __lowercase									=	x + h


def lowerCAmelCase_      (				UpperCamelCase__	: List[Any] ):  # enter your function here






 """simple docstring"""







 __lowercase									=	(x - 0) * (x - 0)
 return y


def lowerCAmelCase_      (				):






 """simple docstring"""







 __lowercase									=	0.0  # Lower bound of integration
 __lowercase									=	1.0  # Upper bound of integration
 __lowercase									=	10.0  # define number of steps or resolution
 __lowercase									=	[a, b]  # define boundary of integration
 __lowercase									=	method_a(UpperCamelCase__				,   UpperCamelCase__ )
 print(f'''y = {y}''' )


if __name__ == "__main__":
       main()




"""simple docstring"""

import random


def lowerCAmelCase_      (				UpperCamelCase__	: int				,   UpperCamelCase__	: float				,   UpperCamelCase__	: bool = False ):






 """simple docstring"""







 __lowercase									=	{i: [] for i in range(UpperCamelCase__ )}

 # if probability is greater or equal than 1, then generate a complete graph
 if probability >= 1:
  return complete_graph(UpperCamelCase__ )
 # if probability is lower or equal than 0, then return a graph without edges
 if probability <= 0:
  return graph

 # for each couple of nodes, add an edge from u to v
 # if the number randomly generated is greater than probability probability
 for i in range(UpperCamelCase__ ):
  for j in range(i + 1				,   UpperCamelCase__ ):
   if random.random() < probability:
    graph[i].append(UpperCamelCase__ )
    if not directed:
     # if the graph is undirected, add an edge in from j to i, either
     graph[j].append(UpperCamelCase__ )
 return graph


def lowerCAmelCase_      (				UpperCamelCase__	: int ):






 """simple docstring"""







 return {
     i: [j for j in range(UpperCamelCase__ ) if i != j] for i in range(UpperCamelCase__ )
 }


if __name__ == "__main__":
       import doctest

       doctest.testmod()
