Rename year directories to allow natural ordering
This commit is contained in:
@ -0,0 +1,69 @@
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import javax.swing.JOptionPane;
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/**
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* Array implementation of Queue ADT
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*/
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public class ArrayQueue implements Queue
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{
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protected Object Q[]; // array used to implement the queue
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protected int rear = -1; // index for the rear of the queue
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protected int capacity; // The actual capacity of the queue array
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public static final int CAPACITY = 1000; // default array capacity
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public ArrayQueue() {
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// default constructor: creates queue with default capacity
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this(CAPACITY);
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}
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public ArrayQueue(int cap) {
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// this constructor allows you to specify capacity
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capacity = (cap > 0) ? cap : CAPACITY;
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Q = new Object[capacity];
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}
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public void enqueue(Object n)
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{
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if (isFull()) {
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JOptionPane.showMessageDialog(null, "Cannot enqueue object; queue is full.");
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return;
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}
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rear++;
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Q[rear] = n;
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}
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public Object dequeue()
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{
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// Can't do anything if it's empty
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if (isEmpty())
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return null;
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Object toReturn = Q[0];
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// shuffle all other objects towards 0
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int i = 1;
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while (i <= rear) {
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Q[i-1] = Q[i];
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i++;
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}
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rear--;
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return toReturn;
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}
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public boolean isEmpty() {
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return (rear < 0);
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}
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public boolean isFull() {
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return (rear == capacity-1);
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}
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public Object front()
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{
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if (isEmpty())
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return null;
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return Q[0];
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}
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}
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@ -0,0 +1,63 @@
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/** Array implementation of Stack ADT */
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import javax.swing.JOptionPane;
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public class ArrayStack implements Stack
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{
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protected int capacity; // The actual capacity of the stack array
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protected static final int CAPACITY = 1000; // default array capacity
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protected Object S[]; // array used to implement the stack
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protected int top = -1; // index for the top of the stack
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public ArrayStack() {
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// default constructor: creates stack with default capacity
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this(CAPACITY);
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}
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public ArrayStack(int cap) {
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// this constructor allows you to specify capacity of stack
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capacity = (cap > 0) ? cap : CAPACITY;
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S = new Object[capacity];
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}
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public void push(Object element) {
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if (isFull()) {
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JOptionPane.showMessageDialog(null, "ERROR: Stack is full.");
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return;
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}
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top++;
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S[top] = element;
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}
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public Object pop() {
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Object element;
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if (isEmpty()) {
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JOptionPane.showMessageDialog(null, "ERROR: Stack is empty.");
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return null;
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}
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element = S[top];
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S[top] = null;
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top--;
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return element;
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}
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public Object top() {
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if (isEmpty()) {
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JOptionPane.showMessageDialog(null, "ERROR: Stack is empty.");
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return null;
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}
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return S[top];
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}
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public boolean isEmpty() {
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return (top < 0);
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}
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public boolean isFull() {
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return (top == capacity-1);
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}
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public int size() {
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return (top + 1);
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}
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}
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@ -0,0 +1,21 @@
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// class to implement Method 2
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public class IVersusNMinusI implements PalindromeChecker {
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// method 2 - comparing each element at index i to the element at n - i where n is the last index
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@Override
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public boolean checkPalindrome(String str) {
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// looping through the first half of the String
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NewPalindrome.operations[1]++;
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for (int i = 0; i < Math.floor(str.length() / 2); i++) {
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NewPalindrome.operations[1] += 1 + 1 + 1 + 1; // 1 for the getting str.length(), 1 for Math,floor, 1 for checking condition, 1 for incrementing
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// returning false if the digits don't match
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NewPalindrome.operations[1] += 1 + 1 + 1 + 1; // 1 for str.charAt(i), 1 for ((str.lenght() -1) - 1), 1 for the other str.charAt(), 1 for checking the condition
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if (str.charAt(i) != str.charAt((str.length()-1) - i)) {
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return false;
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}
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}
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// returning true as default
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return true;
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}
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}
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@ -0,0 +1,93 @@
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import java.io.*;
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public class NewPalindrome {
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public static long[] operations = new long[4]; // array to contain the global operations count for each method
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public static int[] decCount = new int[4]; // array to hold the count of decimal palindromes found using each method
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public static int[] binCount = new int[4]; // array to hold the count of binary palindromes found using each method
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public static int[] bothCount = new int[4]; // array to hold the count of numbers that are palindromes in both decimal & binary found using each method
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public static long[] startTime = new long[4]; // array to hold the start time of each method's test loop
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public static long[] totalTime = new long[4]; // array to hold the total time of each method's test loop
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// array to hold all the String versions of the numbers so that they don't have to be generated for each method
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// 0th column will be decimal, 1st column will be binary
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public static String[][] strings = new String[1_000_001][2];
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// array of StringBuilder objects used to hold the csv data (size of problem, number of operations) for each method
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public static StringBuilder[] data = new StringBuilder[4];
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// array of the four classes that will be tested
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public static PalindromeChecker[] palindromeCheckers = {new ReverseVSOriginal(), new IVersusNMinusI(), new StackVSQueue(), new RecursiveReverse()};
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public static void main(String args[]) {
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// initialising the data array to StringBuilder objects
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for (int i = 0; i < 4; i++) {
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data[i] = new StringBuilder("operations,size\n");
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}
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// filling up the strings array
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for (int i = 0; i <= 1_000_000; i++) {
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strings[i][0] = Integer.toString(i, 10); // converting i to a String base 10
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strings[i][1] = binary2string(strings[i][0]); // converting the decimal String to a binary String
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}
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// looping through each PalindromeChecker object in the palindromeCheckers array
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for (int j = 0; j < 4; j++) {
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// getting start time
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startTime[j] = System.currentTimeMillis(); operations[j]++;
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// looping through the numbers 0 to 1,000,000 and checking if their binary & decimal representations are palindromic
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operations[j]++;
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for (int i = 0; i <= 1_000_000; i++) {
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// incrementing the operations count by 2, 1 for the loop condition check and 1 for incrementing i
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operations[j] += 2;
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// converting the number to a decimal or binary String and checking if is a palindrome
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boolean isDecPalindrome = palindromeCheckers[j].checkPalindrome(strings[i][0]); operations[j]++;
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boolean isBinPalindrome = palindromeCheckers[j].checkPalindrome(strings[i][1]); operations[j]++;
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// incrementing the appropriate counter if the number is a palindrome in that base
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decCount[j] = isDecPalindrome ? decCount[j] + 1 : decCount[j]; operations[j] += 1 + 1; // incremnting by 2, 1 for assignment, 1 for condition check
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binCount[j] = isBinPalindrome ? binCount[j] + 1 : binCount[j]; operations[j] += 1 + 1;
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bothCount[j] = isDecPalindrome && isBinPalindrome ? bothCount[j] + 1 : bothCount[j]; operations[j] += 1 + 1 +1; // 2 condition checks and one assignment, so incrementing by 3
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// appending to the data StringBuilder at intervals of 50,000
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if (i % 50_000 == 0) {
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data[j].append(operations[j] + "," + i + "\n");
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}
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}
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// calculating total time taken for method 1 and printing out the results
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totalTime[j] = System.currentTimeMillis() - startTime[j]; operations[j] += 1 + 1; // incrementing by 2, 1 for getting current time and subtracting start time, 1 for assignment
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System.out.println("Number of decimal palindromes found using Method " + j + ": " + decCount[j]);
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System.out.println("Number of binary palindromes found using Method " + j + ": " + binCount[j]);
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System.out.println("Number of palindromes in both decimal & binary found using Method " + j + ": " + bothCount[j]);
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System.out.println("Number of primitive operations taken in Method " + j + ": " + operations[j]);
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System.out.println("Time taken for Method " + j + ": " + totalTime[j] + " milliseconds");
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System.out.println();
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// outputting the data to separate csv files
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try {
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String filename = "method" + j + ".csv";
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File csv = new File(filename);
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// creating file if it doesn't already exist
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csv.createNewFile();
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FileWriter writer = new FileWriter(filename);
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writer.write(data[j].toString());
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writer.close();
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} catch (IOException e) {
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System.out.println("IO Error occurred");
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e.printStackTrace();
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System.exit(1);
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}
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}
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}
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// utility method to convert a decimal String to its equivalent binary String
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public static String binary2string(String decimalStr) {
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return Integer.toString(Integer.parseInt(decimalStr), 2); // parsing the String to an int and then parsing that int to a binary String
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}
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}
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@ -0,0 +1,320 @@
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import java.io.*;
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public class Palindrome {
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// global operations count for each method
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public static long operations1 = 0;
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public static long operations2 = 0;
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public static long operations3 = 0;
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public static long operations4 = 0;
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// String objects used to hold the csv data (size of problem, number of operations) for each method
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public static StringBuilder data1 = new StringBuilder("operations,size\n");
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public static StringBuilder data2 = new StringBuilder("operations,size\n");
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public static StringBuilder data3 = new StringBuilder("operations,size\n");
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public static StringBuilder data4 = new StringBuilder("operations,size\n");
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public static void main(String args[]) {
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// generating all the String versions of the numbers so that they don't have to be generated for each method
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// 0th column will be decimal, 1st column will be binary
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String[][] strings = new String[1_000_001][2];
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for (int i = 0; i <= 1_000_000; i++) {
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strings[i][0] = Integer.toString(i, 10); // converting i to a String base 10
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strings[i][1] = binary2string(strings[i][0]); // converting the decimal String to a binary String
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}
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// variables for method 1 - reversed order String vs original String
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int decCount1 = 0; operations1++; // count of decimal palindromes for use by method 1
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int binCount1 = 0; operations1++; // count of binary palindromes for use by method 1
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int bothCount1 = 0; operations1++; // count of numbers that are palindromic in both binary & decimal for use by method 1
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long startTime1 = System.currentTimeMillis(); operations1 += 1 + 1;
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// testing method 1 - reversed order String vs original String
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// incrementing the operations counter for the initialisation of i below
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operations1++;
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for (int i = 0; i <= 1_000_000; i++) {
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// incrementing the operations count by 2, 1 for the loop condition check and 1 for incrementing i
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operations1 += 2;
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// converting the number to a decimal or binary String and checking if is a palindrome
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boolean isDecPalindrome = reverseVSoriginal(strings[i][0]); operations1++;
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boolean isBinPalindrome = reverseVSoriginal(strings[i][1]); operations1++;
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// incrementing the appropriate counter if the number is a palindrome in that base
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decCount1 = isDecPalindrome ? decCount1 + 1 : decCount1; operations1 += 1 + 1; // incremnting by 2, 1 for assignment, 1 for condition check
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binCount1 = isBinPalindrome ? binCount1 + 1 : binCount1; operations1 += 1 + 1;
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bothCount1 = isDecPalindrome && isBinPalindrome ? bothCount1 + 1 : bothCount1; operations1 += 1 + 1 +1; // 2 condition checks and one assignment, so incrementing by 3
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// appending to the data StringBuilder at intervals of 50,000
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if (i % 50_000 == 0) {
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data1.append(operations1 + "," + i + "\n");
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}
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}
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// calculating total time taken for method 1 and printing out the results
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long totalTime1 = System.currentTimeMillis() - startTime1; operations1 += 1 + 1; // incrementing by 2, 1 for getting current time and subtracting start time, 1 for assignment
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System.out.println("Number of decimal palindromes found using Method 1: " + decCount1);
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System.out.println("Number of binary palindromes found using Method 1: " + binCount1);
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System.out.println("Number of palindromes in both decimal & binary found using Method 1: " + bothCount1);
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System.out.println("Number of primitive operations taken in Method 1: " + operations1);
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System.out.println("Time taken for Method 1: " + totalTime1 + " milliseconds");
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// variables for method 2 - comparing each element at index i to the element at n - i where n is the last index
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int decCount2 = 0; operations2++; // count of decimal palindromes for use by method 2
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int binCount2 = 0; operations2++; // count of binary palindromes for use by method 2
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int bothCount2 = 0; operations2++; // count of numbers that are palindromic in both binary & decimal for use by method 2
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long startTime2 = System.currentTimeMillis(); operations2 += 1 + 1;
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// testingmethod 2 - comparing each element at index i to the element at n - i where n is the last index
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operations2++;
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for (int i = 0; i <= 1_000_000; i++) {
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operations2 += 1 + 1;
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// converting the number to a decimal or binary String and checking if is a palindrome
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boolean isDecPalindrome = iVSiMinusn(strings[i][0]); operations2++;
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boolean isBinPalindrome = iVSiMinusn(strings[i][1]); operations2++;
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// incrementing the appropriate counter if the number is a palindrome in that base
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decCount2 = isDecPalindrome ? decCount2 + 1 : decCount2; operations2 += 1 + 1;
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binCount2 = isBinPalindrome ? binCount2 + 1 : binCount2; operations2 += 1 + 1;
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bothCount2 = isDecPalindrome && isBinPalindrome ? bothCount2 + 1 : bothCount2; operations2 += 1 + 1 +1;
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// appending to the data StringBuilder at intervals of 50,000
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if (i % 50_000 == 0) {
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data2.append(operations2 + "," + i + "\n");
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}
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}
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// calculating total time taken for method 2 and printing out the results
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long totalTime2 = System.currentTimeMillis() - startTime2; operations2 += 1 + 1;
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System.out.println();
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System.out.println("Number of decimal palindromes found using Method 2: " + decCount2);
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System.out.println("Number of binary palindromes found using Method 2: " + binCount2);
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System.out.println("Number of palindromes in both decimal & binary found using Method 2: " + bothCount2);
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System.out.println("Number of primitive operations taken in Method 2: " + operations2);
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System.out.println("Time taken for Method 2: " + totalTime2 + " milliseconds");
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// variables for method 3 - comparing each element at index i to the element at n - i where n is the last index
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int decCount3 = 0; operations3++; // count of decimal palindromes for use by method 3
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int binCount3 = 0; operations3++; // count of binary palindromes for use by method 3
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int bothCount3 = 0; operations3++; // count of numbers that are palindromic in both binary & decimal for use by method 3
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long startTime3 = System.currentTimeMillis(); operations3 += 1 + 1;
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// testingmethod 3 - comparing each element at index i to the element at n - i where n is the last index
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operations3++;
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for (int i = 0; i <= 1_000_000; i++) {
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operations3 += 1 + 1;
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// converting the number to a decimal or binary String and checking if is a palindrome
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boolean isDecPalindrome = stackVsqueue(strings[i][0]); operations3++;
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boolean isBinPalindrome = stackVsqueue(strings[i][1]); operations3++;
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// incrementing the appropriate counter if the number is a palindrome in that base
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decCount3 = isDecPalindrome ? decCount3 + 1 : decCount3; operations3 += 1 + 1;
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binCount3 = isBinPalindrome ? binCount3 + 1 : binCount3; operations3 += 1 + 1;
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bothCount3 = isDecPalindrome && isBinPalindrome ? bothCount3 + 1 : bothCount3; operations3 += 1 + 1 + 1;
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// appending to the data StringBuilder at intervals of 50,000
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if (i % 50_000 == 0) {
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data3.append(operations3 + "," + i + "\n");
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}
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}
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// calculating total time taken for method 3 and printing out the results
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long totalTime3 = System.currentTimeMillis() - startTime3; operations3 += 1 + 1;
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System.out.println();
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System.out.println("Number of decimal palindromes found using Method 3: " + decCount3);
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System.out.println("Number of binary palindromes found using Method 3: " + binCount3);
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System.out.println("Number of palindromes in both decimal & binary found using Method 3: " + bothCount3);
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System.out.println("Number of primitive operations taken in Method 3: " + operations3);
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System.out.println("Time taken for Method 3: " + totalTime3 + " milliseconds");
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|
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// variables for method 4 - comparing each element at index i to the element at n - i where n is the last index
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int decCount4 = 0; operations4++; // count of decimal palindromes for use by method 4
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int binCount4 = 0; operations4++; // count of binary palindromes for use by method 4
|
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int bothCount4 = 0; operations4++; // count of numbers that are palindromic in both binary & decimal for use by method 4
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|
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long startTime4 = System.currentTimeMillis(); operations4 += 1 + 1;
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// testingmethod 4 - comparing each element at index i to the element at n - i where n is the last index
|
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operations4++;
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for (int i = 0; i <= 1_000_000; i++) {
|
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operations4 += 2;
|
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|
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// converting the number to a decimal or binary String and checking if is a palindrome
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boolean isDecPalindrome = recursiveReverseVSoriginal(strings[i][0]); operations4++;
|
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boolean isBinPalindrome = recursiveReverseVSoriginal(strings[i][1]); operations4++;
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// incrementing the appropriate counter if the number is a palindrome in that base
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decCount4 = isDecPalindrome ? decCount4 + 1 : decCount4; operations4 += 1 + 1;
|
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binCount4 = isBinPalindrome ? binCount4 + 1 : binCount4; operations4 += 1 + 1;
|
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bothCount4 = isDecPalindrome && isBinPalindrome ? bothCount4 + 1 : bothCount4; operations4 += 1 + 1 + 1;
|
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|
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// appending to the data StringBuilder at intervals of 50,000
|
||||
if (i % 50_000 == 0) {
|
||||
data4.append(operations4 + "," + i + "\n");
|
||||
}
|
||||
}
|
||||
|
||||
// calculating total time taken for method 4 and printing out the results
|
||||
long totalTime4 = System.currentTimeMillis() - startTime4; operations4 += 1 + 1;
|
||||
|
||||
System.out.println();
|
||||
System.out.println("Number of decimal palindromes found using Method 4: " + decCount4);
|
||||
System.out.println("Number of binary palindromes found using Method 4: " + binCount4);
|
||||
System.out.println("Number of palindromes in both decimal & binary found using Method 4: " + bothCount4);
|
||||
System.out.println("Number of primitive operations taken in Method 4: " + operations4);
|
||||
System.out.println("Time taken for Method 4: " + totalTime4 + " milliseconds");
|
||||
|
||||
// outputting the data to separate csv files
|
||||
try {
|
||||
File csv1 = new File("method1.csv");
|
||||
File csv2 = new File("method2.csv");
|
||||
File csv3 = new File("method3.csv");
|
||||
File csv4 = new File("method4.csv");
|
||||
|
||||
// creating files if they don't already exist
|
||||
csv1.createNewFile();
|
||||
csv2.createNewFile();
|
||||
csv3.createNewFile();
|
||||
csv4.createNewFile();
|
||||
|
||||
FileWriter writer1 = new FileWriter("method1.csv");
|
||||
writer1.write(data1.toString());
|
||||
writer1.close();
|
||||
|
||||
FileWriter writer2 = new FileWriter("method2.csv");
|
||||
writer2.write(data2.toString());
|
||||
writer2.close();
|
||||
|
||||
FileWriter writer3 = new FileWriter("method3.csv");
|
||||
writer3.write(data3.toString());
|
||||
writer3.close();
|
||||
|
||||
FileWriter writer4 = new FileWriter("method4.csv");
|
||||
writer4.write(data4.toString());
|
||||
writer4.close();
|
||||
} catch (IOException e) {
|
||||
System.out.println("IO Error occurred");
|
||||
e.printStackTrace();
|
||||
System.exit(1);
|
||||
}
|
||||
}
|
||||
|
||||
// method 1 - reversed order String vs original String
|
||||
public static boolean reverseVSoriginal(String str) {
|
||||
String reversedStr = ""; operations1++;
|
||||
|
||||
// looping through each character in the String, backwards
|
||||
// incrementing operations counter by 2, 1 for initialisating i, 1 for getting str.length()
|
||||
operations1 += 1 + 1;
|
||||
for (int i = str.length(); i > 0; i--) {
|
||||
operations1 += 1 + 1; // for loop condition check & incrementing i
|
||||
|
||||
reversedStr += str.charAt(i-1); operations1 += 1 + 1;
|
||||
}
|
||||
|
||||
// returning true if the Strings are equal, false if not
|
||||
operations1 += str.length(); // the equals method must loop through each character of the String to check that they are equal so it is O(n)
|
||||
return str.equals(reversedStr);
|
||||
}
|
||||
|
||||
// method 2 - comparing each element at index i to the element at n - i where n is the last index
|
||||
public static boolean iVSiMinusn(String str) {
|
||||
// looping through the first half of the String
|
||||
operations2++;
|
||||
for (int i = 0; i < Math.floor(str.length() / 2); i++) {
|
||||
operations2 += 1 + 1 + 1 + 1; // 1 for the getting str.length(), 1 for Math,floor, 1 for checking condition, 1 for incrementing
|
||||
|
||||
// returning false if the digits don't match
|
||||
operations2 += 1 + 1 + 1 + 1; // 1 for str.charAt(i), 1 for ((str.lenght() -1) - 1), 1 for the other str.charAt(), 1 for checking the condition
|
||||
if (str.charAt(i) != str.charAt((str.length()-1) - i)) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
// returning true as default
|
||||
return true;
|
||||
}
|
||||
|
||||
// method 3 - using a stack and a queue to do, essentially, what method 2 does
|
||||
public static boolean stackVsqueue(String str) {
|
||||
ArrayStack stack = new ArrayStack(); operations3 += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
ArrayQueue queue = new ArrayQueue(); operations3 += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
|
||||
// looping through each character in the String and adding the character to the stack & queue
|
||||
operations3++;
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
operations3 += 1 + 1 + 1;
|
||||
|
||||
stack.push(str.charAt(i)); operations3 += 1 + 1 + 1 + 1;
|
||||
queue.enqueue(str.charAt(i)); operations3 += 1 + 1 + 1 + 1;
|
||||
}
|
||||
|
||||
// looping through each character on the stack & queue and comparing them, returning false if they're different
|
||||
operations3++;
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
operations3 += 1 + 1 + 1;
|
||||
|
||||
operations3 += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
if (!stack.pop().equals(queue.front())) {
|
||||
return false;
|
||||
}
|
||||
|
||||
// the complexity of ArrayQueue.dequeue() is 3n+2, where n is the number of items in the queue when dequeue() is called.
|
||||
// we need to determine the number of items in the queue so that we can determine the number of primitive operations performed when queue.dequeue() is called.
|
||||
// to do this, we'll loop through the queue, dequeuing each object and enqueueing it in another ArrayQueue. once complete, we'll reassign the variable queue to point to the new ArrayQueue containing all the objects
|
||||
ArrayQueue newQueue = new ArrayQueue(); // not counting the operations for this as it's not part of the algorithm, it's part of the operations counting
|
||||
int n = 0; // n is the number of items in the ArrayQueue when dequeue() is called
|
||||
|
||||
while (!queue.isEmpty()) {
|
||||
newQueue.enqueue(queue.dequeue());
|
||||
n++;
|
||||
}
|
||||
|
||||
queue = newQueue; // setting queue to point to the newQueue, which is just the state that queue would have been in if we didn't do this to calculate the primitive operations
|
||||
newQueue = null; // don't need the newQueue object reference anymore
|
||||
|
||||
operations3 += 3*n + 2; // complexity of dequeue is 3n+2
|
||||
queue.dequeue();
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
// method 4 - comparing the String reversed using recursion to the original String (essentially method 1 but with recursion)
|
||||
public static boolean recursiveReverseVSoriginal(String str) {
|
||||
// returning true if the original String is equal to the reversed String, false if not
|
||||
operations4++;
|
||||
return str.equals(reverse(str));
|
||||
}
|
||||
|
||||
// method to reverse the characters in a String using recursion
|
||||
public static String reverse(String str) {
|
||||
// base case - returning an empty String if there is no character left in the String
|
||||
operations4++;
|
||||
if (str.length() == 0) {
|
||||
return "";
|
||||
}
|
||||
else {
|
||||
char firstChar = str.charAt(0); operations4 += 1 + 1;
|
||||
String remainder = str.substring(1); operations4 += 1 + 1; // selecting the rest of the String, excluding the 0th character
|
||||
|
||||
// recursing with what's left of the String
|
||||
String reversedRemainder = reverse(remainder); operations4++;
|
||||
|
||||
// returning the reversed rest of String with the first character of the String appended
|
||||
return reversedRemainder + firstChar;
|
||||
}
|
||||
}
|
||||
|
||||
// utility method to convert a decimal String to its equivalent binary String
|
||||
public static String binary2string(String decimalStr) {
|
||||
return Integer.toString(Integer.parseInt(decimalStr), 2); // parsing the String to an int and then parsing that int to a binary String
|
||||
}
|
||||
}
|
@ -0,0 +1,3 @@
|
||||
public interface PalindromeChecker {
|
||||
public boolean checkPalindrome(String str);
|
||||
}
|
@ -0,0 +1,14 @@
|
||||
/*
|
||||
* Abstract Queue interface
|
||||
*/
|
||||
|
||||
public interface Queue {
|
||||
// most important methods
|
||||
public void enqueue(Object n); // add an object at the rear of the queue
|
||||
public Object dequeue(); // remove an object from the front of the queue
|
||||
|
||||
// others
|
||||
public boolean isEmpty(); // true if queue is empty
|
||||
public boolean isFull(); // true if queue is full (if it has limited storage)
|
||||
public Object front(); // examine front object on queue without removing it
|
||||
}
|
@ -0,0 +1,29 @@
|
||||
// class to implement method 4
|
||||
public class RecursiveReverse implements PalindromeChecker {
|
||||
// comparing the String reversed using recursion to the original String (essentially method 1 but with recursion)
|
||||
@Override
|
||||
public boolean checkPalindrome(String str) {
|
||||
// returning true if the original String is equal to the reversed String, false if not
|
||||
NewPalindrome.operations[3]++;
|
||||
return str.equals(reverse(str));
|
||||
}
|
||||
|
||||
// method to reverse the characters in a String using recursion
|
||||
public static String reverse(String str) {
|
||||
// base case - returning an empty String if there is no character left in the String
|
||||
NewPalindrome.operations[3]++;
|
||||
if (str.length() == 0) {
|
||||
return "";
|
||||
}
|
||||
else {
|
||||
char firstChar = str.charAt(0); NewPalindrome.operations[3] += 1 + 1;
|
||||
String remainder = str.substring(1); NewPalindrome.operations[3] += 1 + 1; // selecting the rest of the String, excluding the 0th character
|
||||
|
||||
// recursing with what's left of the String
|
||||
String reversedRemainder = reverse(remainder); NewPalindrome.operations[3]++;
|
||||
|
||||
// returning the reversed rest of String with the first character of the String appended
|
||||
return reversedRemainder + firstChar;
|
||||
}
|
||||
}
|
||||
}
|
@ -0,0 +1,21 @@
|
||||
// class to implement Method 3
|
||||
public class ReverseVSOriginal implements PalindromeChecker {
|
||||
// method 1 - reversed order String vs original String
|
||||
@Override
|
||||
public boolean checkPalindrome(String str) {
|
||||
String reversedStr = ""; NewPalindrome.operations[0]++;
|
||||
|
||||
// looping through each character in the String, backwards
|
||||
// incrementing operations counter by 2, 1 for initialisating i, 1 for getting str.length()
|
||||
NewPalindrome.operations[0] += 1 + 1;
|
||||
for (int i = str.length(); i > 0; i--) {
|
||||
NewPalindrome.operations[0] += 1 + 1; // for loop condition check & incrementing i
|
||||
|
||||
reversedStr += str.charAt(i-1); NewPalindrome.operations[0] += 1 + 1;
|
||||
}
|
||||
|
||||
// returning true if the Strings are equal, false if not
|
||||
NewPalindrome.operations[0] += str.length(); // the equals method must loop through each character of the String to check that they are equal so it is O(n)
|
||||
return str.equals(reversedStr);
|
||||
}
|
||||
}
|
@ -0,0 +1,13 @@
|
||||
/** Abstract Stack interface */
|
||||
|
||||
public interface Stack
|
||||
{
|
||||
// most important methods
|
||||
public void push(Object n); // push an object onto top of the stack
|
||||
public Object pop(); // pop an object from top of the stack
|
||||
|
||||
// others
|
||||
public Object top(); // examine top object on stack without removing it
|
||||
public boolean isEmpty(); // true if stack is empty
|
||||
public boolean isFull(); // true if stack is full (if it has limited storage)
|
||||
}
|
@ -0,0 +1,48 @@
|
||||
// class to implement method 3
|
||||
public class StackVSQueue implements PalindromeChecker {
|
||||
// method 3 - using a stack and a queue to do, essentially, what method 2 does (compare the first index to the last index, etc.)
|
||||
@Override
|
||||
public boolean checkPalindrome(String str) {
|
||||
ArrayStack stack = new ArrayStack(); NewPalindrome.operations[2] += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
ArrayQueue queue = new ArrayQueue(); NewPalindrome.operations[2] += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
|
||||
// looping through each character in the String and adding the character to the stack & queue
|
||||
NewPalindrome.operations[2]++;
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
NewPalindrome.operations[2] += 1 + 1 + 1;
|
||||
|
||||
stack.push(str.charAt(i)); NewPalindrome.operations[2] += 1 + 1 + 1 + 1;
|
||||
queue.enqueue(str.charAt(i)); NewPalindrome.operations[2] += 1 + 1 + 1 + 1;
|
||||
}
|
||||
|
||||
// looping through each character on the stack & queue and comparing them, returning false if they're different
|
||||
NewPalindrome.operations[2]++;
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
NewPalindrome.operations[2] += 1 + 1 + 1;
|
||||
|
||||
NewPalindrome.operations[2] += 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1;
|
||||
if (!stack.pop().equals(queue.front())) {
|
||||
return false;
|
||||
}
|
||||
|
||||
// the complexity of ArrayQueue.dequeue() is 3n+2, where n is the number of items in the queue when dequeue() is called.
|
||||
// we need to determine the number of items in the queue so that we can determine the number of primitive operations performed when queue.dequeue() is called.
|
||||
// to do this, we'll loop through the queue, dequeuing each object and enqueueing it in another ArrayQueue. once complete, we'll reassign the variable queue to point to the new ArrayQueue containing all the objects
|
||||
ArrayQueue newQueue = new ArrayQueue(); // not counting the operations for this as it's not part of the algorithm, it's part of the operations counting
|
||||
int n = 0; // n is the number of items in the ArrayQueue when dequeue() is called
|
||||
|
||||
while (!queue.isEmpty()) {
|
||||
newQueue.enqueue(queue.dequeue());
|
||||
n++;
|
||||
}
|
||||
|
||||
queue = newQueue; // setting queue to point to the newQueue, which is just the state that queue would have been in if we didn't do this to calculate the primitive operations
|
||||
newQueue = null; // don't need the newQueue object reference anymore
|
||||
|
||||
NewPalindrome.operations[2] += 3*n + 2; // complexity of dequeue is 3n+2
|
||||
queue.dequeue();
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
}
|
@ -0,0 +1,14 @@
|
||||
public class Test {
|
||||
public static void main(String[] args) {
|
||||
String str = "1234567890";
|
||||
ArrayQueue queue = new ArrayQueue();
|
||||
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
queue.enqueue(str.charAt(i));
|
||||
}
|
||||
|
||||
for (int i = 0; i < str.length(); i++) {
|
||||
queue.dequeue();
|
||||
}
|
||||
}
|
||||
}
|
@ -0,0 +1,22 @@
|
||||
operations,size
|
||||
29,0
|
||||
5716904,50000
|
||||
11989234,100000
|
||||
18683879,150000
|
||||
25533879,200000
|
||||
32383879,250000
|
||||
39423164,300000
|
||||
46523164,350000
|
||||
53623164,400000
|
||||
60723164,450000
|
||||
67823164,500000
|
||||
75051729,550000
|
||||
82401729,600000
|
||||
89751729,650000
|
||||
97101729,700000
|
||||
104451729,750000
|
||||
111801729,800000
|
||||
119151729,850000
|
||||
126501729,900000
|
||||
133851729,950000
|
||||
141201734,1000000
|
|
@ -0,0 +1,22 @@
|
||||
operations,size
|
||||
15,0
|
||||
1881959,50000
|
||||
3768823,100000
|
||||
5660295,150000
|
||||
7552719,200000
|
||||
9445167,250000
|
||||
11337607,300000
|
||||
13230031,350000
|
||||
15122471,400000
|
||||
17014895,450000
|
||||
18907343,500000
|
||||
20800207,550000
|
||||
22693407,600000
|
||||
24586615,650000
|
||||
26479855,700000
|
||||
28373063,750000
|
||||
30266287,800000
|
||||
32159487,850000
|
||||
34052711,900000
|
||||
35945943,950000
|
||||
37839175,1000000
|
|
@ -0,0 +1,22 @@
|
||||
operations,size
|
||||
105,0
|
||||
17250278,50000
|
||||
36003532,100000
|
||||
55780375,150000
|
||||
75979194,200000
|
||||
96178166,250000
|
||||
116909827,300000
|
||||
137812321,350000
|
||||
158715267,400000
|
||||
179617761,450000
|
||||
200521097,500000
|
||||
221777541,550000
|
||||
243367974,600000
|
||||
264958463,650000
|
||||
286548836,700000
|
||||
308139668,750000
|
||||
329729920,800000
|
||||
351320353,850000
|
||||
372910963,900000
|
||||
394501277,950000
|
||||
416092270,1000000
|
|
@ -0,0 +1,22 @@
|
||||
operations,size
|
||||
29,0
|
||||
6590279,50000
|
||||
13847075,100000
|
||||
21610649,150000
|
||||
29560649,200000
|
||||
37510649,250000
|
||||
45687791,300000
|
||||
53937791,350000
|
||||
62187791,400000
|
||||
70437791,450000
|
||||
78687791,500000
|
||||
87092069,550000
|
||||
95642069,600000
|
||||
104192069,650000
|
||||
112742069,700000
|
||||
121292069,750000
|
||||
129842069,800000
|
||||
138392069,850000
|
||||
146942069,900000
|
||||
155492069,950000
|
||||
164042075,1000000
|
|
Reference in New Issue
Block a user