This commit is contained in:
Jonathan Cook
2019-10-23 15:01:44 +02:00
parent db85c8f275
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## Algorithms - Miscellaneous
This module contains articles about algorithms. Some classes of algorithms, e.g., [sorting](/../algorithms-sorting) and
[genetic algorithms](/../algorithms-genetic), have their own dedicated modules.
### Relevant articles:
- [Converting Between Byte Arrays and Hexadecimal Strings in Java](https://www.baeldung.com/java-byte-arrays-hex-strings)
- [Reversing a Binary Tree in Java](https://www.baeldung.com/java-reversing-a-binary-tree)
- [Find If Two Numbers Are Relatively Prime in Java](https://www.baeldung.com/java-two-relatively-prime-numbers)
- More articles: [[<-- prev]](/../algorithms-miscellaneous-4)
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<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
<modelVersion>4.0.0</modelVersion>
<artifactId>algorithms-miscellaneous-5</artifactId>
<version>0.0.1-SNAPSHOT</version>
<name>algorithms-miscellaneous-5</name>
<parent>
<groupId>com.baeldung</groupId>
<artifactId>parent-modules</artifactId>
<version>1.0.0-SNAPSHOT</version>
</parent>
<dependencies>
<dependency>
<groupId>commons-codec</groupId>
<artifactId>commons-codec</artifactId>
<version>${commons-codec.version}</version>
</dependency>
<dependency>
<groupId>org.projectlombok</groupId>
<artifactId>lombok</artifactId>
<version>${lombok.version}</version>
<scope>provided</scope>
</dependency>
<dependency>
<groupId>pl.allegro.finance</groupId>
<artifactId>tradukisto</artifactId>
<version>${tradukisto.version}</version>
</dependency>
<dependency>
<groupId>org.assertj</groupId>
<artifactId>assertj-core</artifactId>
<version>${org.assertj.core.version}</version>
<scope>test</scope>
</dependency>
</dependencies>
<build>
<pluginManagement>
<plugins>
<plugin>
<groupId>org.codehaus.mojo</groupId>
<artifactId>exec-maven-plugin</artifactId>
<version>${exec-maven-plugin.version}</version>
</plugin>
</plugins>
</pluginManagement>
</build>
<properties>
<tradukisto.version>1.0.1</tradukisto.version>
<org.assertj.core.version>3.9.0</org.assertj.core.version>
<commons-codec.version>1.11</commons-codec.version>
</properties>
</project>
@@ -0,0 +1,110 @@
package com.baeldung.algorithms.conversion;
import java.math.BigInteger;
import javax.xml.bind.DatatypeConverter;
import org.apache.commons.codec.DecoderException;
import org.apache.commons.codec.binary.Hex;
import com.google.common.io.BaseEncoding;
public class HexStringConverter {
/**
* Create a byte Array from String of hexadecimal digits using Character conversion
* @param hexString - Hexadecimal digits as String
* @return Desired byte Array
*/
public byte[] decodeHexString(String hexString) {
if (hexString.length() % 2 == 1) {
throw new IllegalArgumentException("Invalid hexadecimal String supplied.");
}
byte[] bytes = new byte[hexString.length() / 2];
for (int i = 0; i < hexString.length(); i += 2) {
bytes[i / 2] = hexToByte(hexString.substring(i, i + 2));
}
return bytes;
}
/**
* Create a String of hexadecimal digits from a byte Array using Character conversion
* @param byteArray - The byte Array
* @return Desired String of hexadecimal digits in lower case
*/
public String encodeHexString(byte[] byteArray) {
StringBuffer hexStringBuffer = new StringBuffer();
for (int i = 0; i < byteArray.length; i++) {
hexStringBuffer.append(byteToHex(byteArray[i]));
}
return hexStringBuffer.toString();
}
public String byteToHex(byte num) {
char[] hexDigits = new char[2];
hexDigits[0] = Character.forDigit((num >> 4) & 0xF, 16);
hexDigits[1] = Character.forDigit((num & 0xF), 16);
return new String(hexDigits);
}
public byte hexToByte(String hexString) {
int firstDigit = toDigit(hexString.charAt(0));
int secondDigit = toDigit(hexString.charAt(1));
return (byte) ((firstDigit << 4) + secondDigit);
}
private int toDigit(char hexChar) {
int digit = Character.digit(hexChar, 16);
if(digit == -1) {
throw new IllegalArgumentException("Invalid Hexadecimal Character: "+ hexChar);
}
return digit;
}
public String encodeUsingBigIntegerToString(byte[] bytes) {
BigInteger bigInteger = new BigInteger(1, bytes);
return bigInteger.toString(16);
}
public String encodeUsingBigIntegerStringFormat(byte[] bytes) {
BigInteger bigInteger = new BigInteger(1, bytes);
return String.format("%0" + (bytes.length << 1) + "x", bigInteger);
}
public byte[] decodeUsingBigInteger(String hexString) {
byte[] byteArray = new BigInteger(hexString, 16).toByteArray();
if (byteArray[0] == 0) {
byte[] output = new byte[byteArray.length - 1];
System.arraycopy(byteArray, 1, output, 0, output.length);
return output;
}
return byteArray;
}
public String encodeUsingDataTypeConverter(byte[] bytes) {
return DatatypeConverter.printHexBinary(bytes);
}
public byte[] decodeUsingDataTypeConverter(String hexString) {
return DatatypeConverter.parseHexBinary(hexString);
}
public String encodeUsingApacheCommons(byte[] bytes) throws DecoderException {
return Hex.encodeHexString(bytes);
}
public byte[] decodeUsingApacheCommons(String hexString) throws DecoderException {
return Hex.decodeHex(hexString);
}
public String encodeUsingGuava(byte[] bytes) {
return BaseEncoding.base16()
.encode(bytes);
}
public byte[] decodeUsingGuava(String hexString) {
return BaseEncoding.base16()
.decode(hexString.toUpperCase());
}
}
@@ -0,0 +1,36 @@
package com.baeldung.algorithms.knapsack;
public class Knapsack {
public int knapsackRec(int[] w, int[] v, int n, int W) {
if (n <= 0) {
return 0;
} else if (w[n - 1] > W) {
return knapsackRec(w, v, n - 1, W);
} else {
return Math.max(knapsackRec(w, v, n - 1, W), v[n - 1] + knapsackRec(w, v, n - 1, W - w[n - 1]));
}
}
public int knapsackDP(int[] w, int[] v, int n, int W) {
if (n <= 0 || W <= 0) {
return 0;
}
int[][] m = new int[n + 1][W + 1];
for (int j = 0; j <= W; j++) {
m[0][j] = 0;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= W; j++) {
if (w[i - 1] > j) {
m[i][j] = m[i - 1][j];
} else {
m[i][j] = Math.max(m[i - 1][j], m[i - 1][j - w[i - 1]] + v[i - 1]);
}
}
}
return m[n][W];
}
}
@@ -0,0 +1,45 @@
package com.baeldung.algorithms.relativelyprime;
import java.math.BigInteger;
class RelativelyPrime {
static boolean iterativeRelativelyPrime(int a, int b) {
return iterativeGCD(a, b) == 1;
}
static boolean recursiveRelativelyPrime(int a, int b) {
return recursiveGCD(a, b) == 1;
}
static boolean bigIntegerRelativelyPrime(int a, int b) {
return BigInteger.valueOf(a).gcd(BigInteger.valueOf(b)).equals(BigInteger.ONE);
}
private static int iterativeGCD(int a, int b) {
int tmp;
while (b != 0) {
if (a < b) {
tmp = a;
a = b;
b = tmp;
}
tmp = b;
b = a % b;
a = tmp;
}
return a;
}
private static int recursiveGCD(int a, int b) {
if (b == 0) {
return a;
}
if (a < b) {
return recursiveGCD(b, a);
}
return recursiveGCD(b, a % b);
}
}
@@ -0,0 +1,42 @@
package com.baeldung.algorithms.reversingtree;
public class TreeNode {
private int value;
private TreeNode rightChild;
private TreeNode leftChild;
public int getValue() {
return value;
}
public void setValue(int value) {
this.value = value;
}
public TreeNode getRightChild() {
return rightChild;
}
public void setRightChild(TreeNode rightChild) {
this.rightChild = rightChild;
}
public TreeNode getLeftChild() {
return leftChild;
}
public void setLeftChild(TreeNode leftChild) {
this.leftChild = leftChild;
}
public TreeNode(int value, TreeNode leftChild, TreeNode rightChild) {
this.value = value;
this.rightChild = rightChild;
this.leftChild = leftChild;
}
public TreeNode(int value) {
this.value = value;
}
}
@@ -0,0 +1,53 @@
package com.baeldung.algorithms.reversingtree;
import java.util.LinkedList;
public class TreeReverser {
public void reverseRecursive(TreeNode treeNode) {
if (treeNode == null) {
return;
}
TreeNode temp = treeNode.getLeftChild();
treeNode.setLeftChild(treeNode.getRightChild());
treeNode.setRightChild(temp);
reverseRecursive(treeNode.getLeftChild());
reverseRecursive(treeNode.getRightChild());
}
public void reverseIterative(TreeNode treeNode) {
LinkedList<TreeNode> queue = new LinkedList<TreeNode>();
if (treeNode != null) {
queue.add(treeNode);
}
while (!queue.isEmpty()) {
TreeNode node = queue.poll();
if (node.getLeftChild() != null)
queue.add(node.getLeftChild());
if (node.getRightChild() != null)
queue.add(node.getRightChild());
TreeNode temp = node.getLeftChild();
node.setLeftChild(node.getRightChild());
node.setRightChild(temp);
}
}
public String toString(TreeNode root) {
if (root == null) {
return "";
}
StringBuffer buffer = new StringBuffer(String.valueOf(root.getValue())).append(" ");
buffer.append(toString(root.getLeftChild()));
buffer.append(toString(root.getRightChild()));
return buffer.toString();
}
}
@@ -0,0 +1,13 @@
<?xml version="1.0" encoding="UTF-8"?>
<configuration>
<appender name="STDOUT" class="ch.qos.logback.core.ConsoleAppender">
<encoder>
<pattern>%d{HH:mm:ss.SSS} [%thread] %-5level %logger{36} - %msg%n
</pattern>
</encoder>
</appender>
<root level="INFO">
<appender-ref ref="STDOUT" />
</root>
</configuration>
@@ -0,0 +1,127 @@
package com.baeldung.algorithms.conversion;
import static org.junit.Assert.assertArrayEquals;
import static org.junit.Assert.assertEquals;
import static org.junit.Assert.assertThat;
import org.apache.commons.codec.DecoderException;
import org.hamcrest.text.IsEqualIgnoringCase;
import org.junit.Before;
import org.junit.Test;
import com.baeldung.algorithms.conversion.HexStringConverter;
public class ByteArrayConverterUnitTest {
private HexStringConverter hexStringConverter;
@Before
public void setup() {
hexStringConverter = new HexStringConverter();
}
@Test
public void shouldEncodeByteArrayToHexStringUsingBigIntegerToString() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
if(hexString.charAt(0) == '0') {
hexString = hexString.substring(1);
}
String output = hexStringConverter.encodeUsingBigIntegerToString(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldEncodeByteArrayToHexStringUsingBigIntegerStringFormat() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
String output = hexStringConverter.encodeUsingBigIntegerStringFormat(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldDecodeHexStringToByteArrayUsingBigInteger() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
byte[] output = hexStringConverter.decodeUsingBigInteger(hexString);
assertArrayEquals(bytes, output);
}
@Test
public void shouldEncodeByteArrayToHexStringUsingCharacterConversion() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
String output = hexStringConverter.encodeHexString(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldDecodeHexStringToByteArrayUsingCharacterConversion() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
byte[] output = hexStringConverter.decodeHexString(hexString);
assertArrayEquals(bytes, output);
}
@Test(expected=IllegalArgumentException.class)
public void shouldDecodeHexToByteWithInvalidHexCharacter() {
hexStringConverter.hexToByte("fg");
}
@Test
public void shouldEncodeByteArrayToHexStringDataTypeConverter() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
String output = hexStringConverter.encodeUsingDataTypeConverter(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldDecodeHexStringToByteArrayUsingDataTypeConverter() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
byte[] output = hexStringConverter.decodeUsingDataTypeConverter(hexString);
assertArrayEquals(bytes, output);
}
@Test
public void shouldEncodeByteArrayToHexStringUsingGuava() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
String output = hexStringConverter.encodeUsingGuava(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldDecodeHexStringToByteArrayUsingGuava() {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
byte[] output = hexStringConverter.decodeUsingGuava(hexString);
assertArrayEquals(bytes, output);
}
@Test
public void shouldEncodeByteArrayToHexStringUsingApacheCommons() throws DecoderException {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
String output = hexStringConverter.encodeUsingApacheCommons(bytes);
assertThat(output, IsEqualIgnoringCase.equalToIgnoringCase(hexString));
}
@Test
public void shouldDecodeHexStringToByteArrayUsingApacheCommons() throws DecoderException {
byte[] bytes = getSampleBytes();
String hexString = getSampleHexString();
byte[] output = hexStringConverter.decodeUsingApacheCommons(hexString);
assertArrayEquals(bytes, output);
}
private String getSampleHexString() {
return "0af50c0e2d10";
}
private byte[] getSampleBytes() {
return new byte[] { 10, -11, 12, 14, 45, 16 };
}
}
@@ -0,0 +1,44 @@
package com.baeldung.algorithms.knapsack;
import static org.junit.jupiter.api.Assertions.assertEquals;
import org.junit.jupiter.api.Test;
public class KnapsackUnitTest {
@Test
public void givenWeightsandValues_whenCalculateMax_thenOutputCorrectResult() {
final int[] w = new int[] { 23, 26, 20, 18, 32, 27, 29, 26, 30, 27 };
final int[] v = new int[] { 505, 352, 458, 220, 354, 414, 498, 545, 473, 543 };
final int n = 10;
final int W = 67;
final Knapsack knapsack = new Knapsack();
assertEquals(1270, knapsack.knapsackRec(w, v, n, W));
assertEquals(1270, knapsack.knapsackDP(w, v, n, W));
}
@Test
public void givenZeroItems_whenCalculateMax_thenOutputZero() {
final int[] w = new int[] {};
final int[] v = new int[] {};
final int n = 0;
final int W = 67;
final Knapsack knapsack = new Knapsack();
assertEquals(0, knapsack.knapsackRec(w, v, n, W));
assertEquals(0, knapsack.knapsackDP(w, v, n, W));
}
@Test
public void givenZeroWeightLimit_whenCalculateMax_thenOutputZero() {
final int[] w = new int[] { 23, 26, 20, 18, 32, 27, 29, 26, 30, 27 };
final int[] v = new int[] { 505, 352, 458, 220, 354, 414, 498, 545, 473, 543 };
final int n = 10;
final int W = 0;
final Knapsack knapsack = new Knapsack();
assertEquals(0, knapsack.knapsackRec(w, v, n, W));
assertEquals(0, knapsack.knapsackDP(w, v, n, W));
}
}
@@ -0,0 +1,51 @@
package com.baeldung.algorithms.relativelyprime;
import org.junit.Test;
import static com.baeldung.algorithms.relativelyprime.RelativelyPrime.*;
import static org.assertj.core.api.Assertions.assertThat;
public class RelativelyPrimeUnitTest {
@Test
public void givenNonRelativelyPrimeNumbers_whenCheckingIteratively_shouldReturnFalse() {
boolean result = iterativeRelativelyPrime(45, 35);
assertThat(result).isFalse();
}
@Test
public void givenRelativelyPrimeNumbers_whenCheckingIteratively_shouldReturnTrue() {
boolean result = iterativeRelativelyPrime(500, 501);
assertThat(result).isTrue();
}
@Test
public void givenNonRelativelyPrimeNumbers_whenCheckingRecursively_shouldReturnFalse() {
boolean result = recursiveRelativelyPrime(45, 35);
assertThat(result).isFalse();
}
@Test
public void givenRelativelyPrimeNumbers_whenCheckingRecursively_shouldReturnTrue() {
boolean result = recursiveRelativelyPrime(500, 501);
assertThat(result).isTrue();
}
@Test
public void givenNonRelativelyPrimeNumbers_whenCheckingUsingBigIntegers_shouldReturnFalse() {
boolean result = bigIntegerRelativelyPrime(45, 35);
assertThat(result).isFalse();
}
@Test
public void givenRelativelyPrimeNumbers_whenCheckingBigIntegers_shouldReturnTrue() {
boolean result = bigIntegerRelativelyPrime(500, 501);
assertThat(result).isTrue();
}
}
@@ -0,0 +1,47 @@
package com.baeldung.algorithms.reversingtree;
import static org.junit.jupiter.api.Assertions.assertEquals;
import org.junit.jupiter.api.Test;
public class TreeReverserUnitTest {
@Test
public void givenTreeWhenReversingRecursivelyThenReversed() {
TreeReverser reverser = new TreeReverser();
TreeNode treeNode = createBinaryTree();
reverser.reverseRecursive(treeNode);
assertEquals("4 7 9 6 2 3 1", reverser.toString(treeNode)
.trim());
}
@Test
public void givenTreeWhenReversingIterativelyThenReversed() {
TreeReverser reverser = new TreeReverser();
TreeNode treeNode = createBinaryTree();
reverser.reverseIterative(treeNode);
assertEquals("4 7 9 6 2 3 1", reverser.toString(treeNode)
.trim());
}
private TreeNode createBinaryTree() {
TreeNode leaf1 = new TreeNode(1);
TreeNode leaf2 = new TreeNode(3);
TreeNode leaf3 = new TreeNode(6);
TreeNode leaf4 = new TreeNode(9);
TreeNode nodeRight = new TreeNode(7, leaf3, leaf4);
TreeNode nodeLeft = new TreeNode(2, leaf1, leaf2);
TreeNode root = new TreeNode(4, nodeLeft, nodeRight);
return root;
}
}