Consider the following classes and in particular the "insert" algorithm.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider the following classes and in particular the "insert" algorithm.

 

import random

class Node:

    def __init__(self, element):
        self.firstSuccessor = None
        self.secondSuccessor = None
        self.element = element

    def getElement(self):
        return self.element

    def setElement(self, element):
        self.element = element

    def getFirstSuccessor(self):
        return self.firstSuccessor

    def getSecondSuccessor(self):
        return self.secondSuccessor

    def setFirstSuccessor(self, firstSuccessor):
        self.firstSuccessor = firstSuccessor

    def setSecondSuccessor(self, secondSuccessor):
        self.secondSuccessor = secondSucesor

    def print(self):
        if self.getFirstSuccessor() is not None:
            self.getFirstSuccessor().print()
        print(str(self.getElement())+',', end = '')
        if self.getSecondSuccessor() is not None:
           self.getSecondSuccessor().print()

class Structure:

    def __init__(self):
        self.initial = None

    def insert(self, x):
        list = None

        for i in range(0, len(x)):
            self.initial = self._insert(x[i], self.initial)

        if self.initial is not None:
            self.initial.print()

    def _insert(self, x, t):
        if t is None:
            t = Node(x)
        elif x < t.getElement():
            t.setFirstSuccessor(self._insert(x, t.getFirstSuccessor()))
        elif x > t.getElement():
            t.setSecondSuccessor(self._insert(x, .getSecondSuccessor()))
        else:
            raise Exception('Duplicate element')
        return t

Show which is the worst and best case by modeling with equations and solving them. Also show an example with data for the best and worst case using the data structure graphically.

 

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