mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-12 14:42:03 +08:00
refactor: LowestBasePalindrome
(#5385)
This commit is contained in:
@ -1,6 +1,7 @@
|
|||||||
package com.thealgorithms.others;
|
package com.thealgorithms.others;
|
||||||
|
|
||||||
import java.util.ArrayList;
|
import java.util.ArrayList;
|
||||||
|
import java.util.List;
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @brief Class for finding the lowest base in which a given integer is a palindrome.
|
* @brief Class for finding the lowest base in which a given integer is a palindrome.
|
||||||
@ -10,45 +11,61 @@ public final class LowestBasePalindrome {
|
|||||||
private LowestBasePalindrome() {
|
private LowestBasePalindrome() {
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Validates the base, ensuring it is greater than 1.
|
||||||
|
*
|
||||||
|
* @param base the base to be checked
|
||||||
|
* @throws IllegalArgumentException if the base is less than or equal to 1
|
||||||
|
*/
|
||||||
private static void checkBase(int base) {
|
private static void checkBase(int base) {
|
||||||
if (base <= 1) {
|
if (base <= 1) {
|
||||||
throw new IllegalArgumentException("base must be greater than 1.");
|
throw new IllegalArgumentException("Base must be greater than 1.");
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Validates the number, ensuring it is non-negative.
|
||||||
|
*
|
||||||
|
* @param number the number to be checked
|
||||||
|
* @throws IllegalArgumentException if the number is negative
|
||||||
|
*/
|
||||||
private static void checkNumber(int number) {
|
private static void checkNumber(int number) {
|
||||||
if (number < 0) {
|
if (number < 0) {
|
||||||
throw new IllegalArgumentException("number must be nonnegative.");
|
throw new IllegalArgumentException("Number must be non-negative.");
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @brief computes the representation of the input number in given base
|
* Computes the digits of a given number in a specified base.
|
||||||
* @param number the input number
|
*
|
||||||
* @param base the given base
|
* @param number the number to be converted
|
||||||
* @exception IllegalArgumentException number is negative or base is less than 2
|
* @param base the base to be used for the conversion
|
||||||
* @return the list containing the digits of the input number in the given base, the most
|
* @return a list of digits representing the number in the given base, with the most
|
||||||
* significant digit is at the end of the array
|
* significant digit at the end of the list
|
||||||
|
* @throws IllegalArgumentException if the number is negative or the base is less than 2
|
||||||
*/
|
*/
|
||||||
public static ArrayList<Integer> computeDigitsInBase(int number, int base) {
|
public static List<Integer> computeDigitsInBase(int number, int base) {
|
||||||
checkNumber(number);
|
checkNumber(number);
|
||||||
checkBase(base);
|
checkBase(base);
|
||||||
var result = new ArrayList<Integer>();
|
|
||||||
|
List<Integer> digits = new ArrayList<>();
|
||||||
while (number > 0) {
|
while (number > 0) {
|
||||||
result.add(number % base);
|
digits.add(number % base);
|
||||||
number /= base;
|
number /= base;
|
||||||
}
|
}
|
||||||
return result;
|
return digits;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @brief checks if the input array is a palindrome
|
* Checks if a list of integers is palindromic.
|
||||||
* @brief list the input array
|
*
|
||||||
* @return true, if the input array is a palindrome, false otherwise
|
* @param list the list of integers to be checked
|
||||||
|
* @return {@code true} if the list is a palindrome, {@code false} otherwise
|
||||||
*/
|
*/
|
||||||
public static boolean isPalindromic(ArrayList<Integer> list) {
|
public static boolean isPalindromic(List<Integer> list) {
|
||||||
for (int pos = 0; pos < list.size() / 2; ++pos) {
|
int size = list.size();
|
||||||
if (list.get(pos) != list.get(list.size() - 1 - pos)) {
|
for (int i = 0; i < size / 2; i++) {
|
||||||
|
if (!list.get(i).equals(list.get(size - 1 - i))) {
|
||||||
return false;
|
return false;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
@ -56,12 +73,12 @@ public final class LowestBasePalindrome {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @brief checks if representation of the input number in given base is a palindrome
|
* Checks if the representation of a given number in a specified base is palindromic.
|
||||||
* @param number the input number
|
*
|
||||||
* @param base the given base
|
* @param number the number to be checked
|
||||||
* @exception IllegalArgumentException number is negative or base is less than 2
|
* @param base the base in which the number will be represented
|
||||||
* @return true, if the input number represented in the given base is a palindrome, false
|
* @return {@code true} if the number is palindromic in the specified base, {@code false} otherwise
|
||||||
* otherwise
|
* @throws IllegalArgumentException if the number is negative or the base is less than 2
|
||||||
*/
|
*/
|
||||||
public static boolean isPalindromicInBase(int number, int base) {
|
public static boolean isPalindromicInBase(int number, int base) {
|
||||||
checkNumber(number);
|
checkNumber(number);
|
||||||
@ -72,7 +89,7 @@ public final class LowestBasePalindrome {
|
|||||||
}
|
}
|
||||||
|
|
||||||
if (number % base == 0) {
|
if (number % base == 0) {
|
||||||
// the last digit of number written in base is 0
|
// If the last digit of the number in the given base is 0, it can't be palindromic
|
||||||
return false;
|
return false;
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -80,16 +97,18 @@ public final class LowestBasePalindrome {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @brief finds the smallest base for which the representation of the input number is a
|
* Finds the smallest base in which the representation of a given number is palindromic.
|
||||||
* palindrome
|
*
|
||||||
* @param number the input number
|
* @param number the number to be checked
|
||||||
* @exception IllegalArgumentException number is negative
|
* @return the smallest base in which the number is a palindrome
|
||||||
* @return the smallest base for which the representation of the input number is a palindrome
|
* @throws IllegalArgumentException if the number is negative
|
||||||
*/
|
*/
|
||||||
public static int lowestBasePalindrome(int number) {
|
public static int lowestBasePalindrome(int number) {
|
||||||
|
checkNumber(number);
|
||||||
|
|
||||||
int base = 2;
|
int base = 2;
|
||||||
while (!isPalindromicInBase(number, base)) {
|
while (!isPalindromicInBase(number, base)) {
|
||||||
++base;
|
base++;
|
||||||
}
|
}
|
||||||
return base;
|
return base;
|
||||||
}
|
}
|
||||||
|
@ -2,79 +2,76 @@ package com.thealgorithms.others;
|
|||||||
|
|
||||||
import static org.junit.jupiter.api.Assertions.assertEquals;
|
import static org.junit.jupiter.api.Assertions.assertEquals;
|
||||||
import static org.junit.jupiter.api.Assertions.assertFalse;
|
import static org.junit.jupiter.api.Assertions.assertFalse;
|
||||||
import static org.junit.jupiter.api.Assertions.assertThrows;
|
|
||||||
import static org.junit.jupiter.api.Assertions.assertTrue;
|
import static org.junit.jupiter.api.Assertions.assertTrue;
|
||||||
|
|
||||||
import java.util.ArrayList;
|
import java.util.ArrayList;
|
||||||
import java.util.Arrays;
|
import java.util.Arrays;
|
||||||
import java.util.HashMap;
|
import java.util.List;
|
||||||
import org.junit.jupiter.api.Test;
|
import java.util.stream.Stream;
|
||||||
|
import org.junit.jupiter.params.ParameterizedTest;
|
||||||
|
import org.junit.jupiter.params.provider.Arguments;
|
||||||
|
import org.junit.jupiter.params.provider.MethodSource;
|
||||||
|
|
||||||
public class LowestBasePalindromeTest {
|
public class LowestBasePalindromeTest {
|
||||||
@Test
|
|
||||||
public void testIsPalindromicPositive() {
|
@ParameterizedTest
|
||||||
assertTrue(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>()));
|
@MethodSource("provideListsForIsPalindromicPositive")
|
||||||
assertTrue(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1))));
|
public void testIsPalindromicPositive(List<Integer> list) {
|
||||||
assertTrue(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1, 1))));
|
assertTrue(LowestBasePalindrome.isPalindromic(list));
|
||||||
assertTrue(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1, 2, 1))));
|
|
||||||
assertTrue(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1, 2, 2, 1))));
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@ParameterizedTest
|
||||||
public void testIsPalindromicNegative() {
|
@MethodSource("provideListsForIsPalindromicNegative")
|
||||||
assertFalse(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1, 2))));
|
public void testIsPalindromicNegative(List<Integer> list) {
|
||||||
assertFalse(LowestBasePalindrome.isPalindromic(new ArrayList<Integer>(Arrays.asList(1, 2, 1, 1))));
|
assertFalse(LowestBasePalindrome.isPalindromic(list));
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@ParameterizedTest
|
||||||
public void testIsPalindromicInBasePositive() {
|
@MethodSource("provideNumbersAndBasesForIsPalindromicInBasePositive")
|
||||||
assertTrue(LowestBasePalindrome.isPalindromicInBase(101, 10));
|
public void testIsPalindromicInBasePositive(int number, int base) {
|
||||||
assertTrue(LowestBasePalindrome.isPalindromicInBase(1, 190));
|
assertTrue(LowestBasePalindrome.isPalindromicInBase(number, base));
|
||||||
assertTrue(LowestBasePalindrome.isPalindromicInBase(0, 11));
|
|
||||||
assertTrue(LowestBasePalindrome.isPalindromicInBase(10101, 10));
|
|
||||||
assertTrue(LowestBasePalindrome.isPalindromicInBase(23, 22));
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@ParameterizedTest
|
||||||
public void testIsPalindromicInBaseNegative() {
|
@MethodSource("provideNumbersAndBasesForIsPalindromicInBaseNegative")
|
||||||
assertFalse(LowestBasePalindrome.isPalindromicInBase(1010, 10));
|
public void testIsPalindromicInBaseNegative(int number, int base) {
|
||||||
assertFalse(LowestBasePalindrome.isPalindromicInBase(123, 10));
|
assertFalse(LowestBasePalindrome.isPalindromicInBase(number, base));
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@ParameterizedTest
|
||||||
public void testIsPalindromicInBaseThrowsExceptionForNegativeNumbers() {
|
@MethodSource("provideNumbersAndBasesForExceptions")
|
||||||
assertThrows(IllegalArgumentException.class, () -> LowestBasePalindrome.isPalindromicInBase(-1, 5));
|
public void testIsPalindromicInBaseThrowsException(int number, int base) {
|
||||||
|
org.junit.jupiter.api.Assertions.assertThrows(IllegalArgumentException.class, () -> LowestBasePalindrome.isPalindromicInBase(number, base));
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@ParameterizedTest
|
||||||
public void testIsPalindromicInBaseThrowsExceptionForWrongBases() {
|
@MethodSource("provideNumbersForLowestBasePalindrome")
|
||||||
assertThrows(IllegalArgumentException.class, () -> LowestBasePalindrome.isPalindromicInBase(10, 1));
|
public void testLowestBasePalindrome(int number, int expectedBase) {
|
||||||
|
assertEquals(expectedBase, LowestBasePalindrome.lowestBasePalindrome(number));
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
private static Stream<Arguments> provideListsForIsPalindromicPositive() {
|
||||||
public void testLowestBasePalindrome() {
|
return Stream.of(Arguments.of(new ArrayList<>()), Arguments.of(new ArrayList<>(List.of(1))), Arguments.of(new ArrayList<>(Arrays.asList(1, 1))), Arguments.of(new ArrayList<>(Arrays.asList(1, 2, 1))), Arguments.of(new ArrayList<>(Arrays.asList(1, 2, 2, 1))));
|
||||||
HashMap<Integer, Integer> testCases = new HashMap<>();
|
}
|
||||||
testCases.put(0, 2);
|
|
||||||
testCases.put(1, 2);
|
|
||||||
testCases.put(2, 3);
|
|
||||||
testCases.put(3, 2);
|
|
||||||
testCases.put(10, 3);
|
|
||||||
testCases.put(11, 10);
|
|
||||||
testCases.put(15, 2);
|
|
||||||
testCases.put(39, 12);
|
|
||||||
testCases.put(44, 10);
|
|
||||||
testCases.put(58, 28);
|
|
||||||
testCases.put(69, 22);
|
|
||||||
testCases.put(79, 78);
|
|
||||||
testCases.put(87, 28);
|
|
||||||
testCases.put(90, 14);
|
|
||||||
testCases.put(5591, 37);
|
|
||||||
testCases.put(5895, 130);
|
|
||||||
testCases.put(9950, 198);
|
|
||||||
testCases.put(9974, 4986);
|
|
||||||
|
|
||||||
for (final var tc : testCases.entrySet()) {
|
private static Stream<Arguments> provideListsForIsPalindromicNegative() {
|
||||||
assertEquals(LowestBasePalindrome.lowestBasePalindrome(tc.getKey()), tc.getValue());
|
return Stream.of(Arguments.of(new ArrayList<>(Arrays.asList(1, 2))), Arguments.of(new ArrayList<>(Arrays.asList(1, 2, 1, 1))));
|
||||||
}
|
}
|
||||||
|
|
||||||
|
private static Stream<Arguments> provideNumbersAndBasesForIsPalindromicInBasePositive() {
|
||||||
|
return Stream.of(Arguments.of(101, 10), Arguments.of(1, 190), Arguments.of(0, 11), Arguments.of(10101, 10), Arguments.of(23, 22));
|
||||||
|
}
|
||||||
|
|
||||||
|
private static Stream<Arguments> provideNumbersAndBasesForIsPalindromicInBaseNegative() {
|
||||||
|
return Stream.of(Arguments.of(1010, 10), Arguments.of(123, 10));
|
||||||
|
}
|
||||||
|
|
||||||
|
private static Stream<Arguments> provideNumbersAndBasesForExceptions() {
|
||||||
|
return Stream.of(Arguments.of(-1, 5), Arguments.of(10, 1));
|
||||||
|
}
|
||||||
|
|
||||||
|
private static Stream<Arguments> provideNumbersForLowestBasePalindrome() {
|
||||||
|
return Stream.of(Arguments.of(0, 2), Arguments.of(1, 2), Arguments.of(2, 3), Arguments.of(3, 2), Arguments.of(10, 3), Arguments.of(11, 10), Arguments.of(15, 2), Arguments.of(39, 12), Arguments.of(44, 10), Arguments.of(58, 28), Arguments.of(69, 22), Arguments.of(79, 78), Arguments.of(87, 28),
|
||||||
|
Arguments.of(90, 14), Arguments.of(5591, 37), Arguments.of(5895, 130), Arguments.of(9950, 198), Arguments.of(9974, 4986));
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
Reference in New Issue
Block a user