input: Write a function to generate a basic REST API with authentication and endpoints in Python. The function should return the Flask application object. If the given input is not applicable, the function should return the default setup as shown below.
  
  from flask import Flask, request
  from flask_restful import Resource, Api
  from flask_jwt import JWT, jwt_required
  
  app = Flask(__name__)
  api = Api(app)
  
  # Setup JWT authentication
  app.secret_key = 'super-secret-key'
  jwt = JWT(app, authenticate, identity)
  
  items = []
  
  class Item(Resource):
   @jwt_required()
   def get(self, name):
   for item in items:
   if item['name'] == name:
   return item
   return {'item': None}, 404
  
   def post(self, name):
   new_item = {'name': name, 'price': 12.00}
   items.append(new_item)
   return new_item, 201
  
  
  class ItemList(Resource):
   def get(self):
   return {'items': items}
  
  
  api.add_resource(Item, '/item/<string:name>')
  api.add_resource(ItemList, '/items')
  
  if __name__ == '__main__':
   app.run(port=5000, debug=True)
  
  assert generate_api_with_auth() == app
  assert type(generate_api_with_auth()) == Flask
  assert generate_api_with_auth().secret_key == 'super-secret-key'
output: def generate_api_with_auth():
      from flask import Flask, request
      from flask_restful import Resource, Api
      from flask_jwt import JWT, jwt_required
  
      app = Flask(__name__)
      api = Api(app)
  
      # Setup JWT authentication
      app.secret_key = 'super-secret-key'
      jwt = JWT(app, authenticate, identity)
  
      items = []
  
      class Item(Resource):
          @jwt_required()
          def get(self, name):
              for item in items:
                  if item['name'] == name:
                      return item
              return {'item': None}, 404
  
          def post(self, name):
              new_item = {'name': name, 'price': 12.00}
              items.append(new_item)
              return new_item, 201
  
      class ItemList(Resource):
          def get(self):
              return {'items': items}
  
      api.add_resource(Item, '/item/<string:name>')
      api.add_resource(ItemList, '/items')
  
      return app