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refactor: Enhance docs, code, add tests in HarshadNumber (#6745)
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@@ -1,49 +1,78 @@
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package com.thealgorithms.maths;
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// Wikipedia for Harshad Number : https://en.wikipedia.org/wiki/Harshad_number
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/**
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* A Harshad number (or Niven number) in a given number base is an integer that
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* is divisible by the sum of its digits.
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* For example, 18 is a Harshad number because 18 is divisible by (1 + 8) = 9.
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* The name "Harshad" comes from the Sanskrit words "harṣa" (joy) and "da"
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* (give), meaning "joy-giver".
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*
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* @author <a href="https://github.com/Hardvan">Hardvan</a>
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* @see <a href="https://en.wikipedia.org/wiki/Harshad_number">Harshad Number -
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* Wikipedia</a>
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*/
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public final class HarshadNumber {
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private HarshadNumber() {
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}
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/**
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* A function to check if a number is Harshad number or not
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* Checks if a number is a Harshad number.
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* A Harshad number is a positive integer that is divisible by the sum of its
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* digits.
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*
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* @param n The number to be checked
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* @return {@code true} if {@code a} is Harshad number, otherwise
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* @param n the number to be checked (must be positive)
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* @return {@code true} if {@code n} is a Harshad number, otherwise
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* {@code false}
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* @throws IllegalArgumentException if {@code n} is less than or equal to 0
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*/
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public static boolean isHarshad(long n) {
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if (n <= 0) {
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return false;
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throw new IllegalArgumentException("Input must be a positive integer. Received: " + n);
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}
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long t = n;
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long temp = n;
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long sumOfDigits = 0;
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while (t > 0) {
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sumOfDigits += t % 10;
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t /= 10;
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while (temp > 0) {
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sumOfDigits += temp % 10;
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temp /= 10;
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}
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return n % sumOfDigits == 0;
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}
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/**
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* A function to check if a number is Harshad number or not
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* Checks if a number represented as a string is a Harshad number.
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* A Harshad number is a positive integer that is divisible by the sum of its
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* digits.
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*
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* @param s The number in String to be checked
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* @return {@code true} if {@code a} is Harshad number, otherwise
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* @param s the string representation of the number to be checked
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* @return {@code true} if the number is a Harshad number, otherwise
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* {@code false}
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* @throws IllegalArgumentException if {@code s} is null, empty, or represents a
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* non-positive integer
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* @throws NumberFormatException if {@code s} cannot be parsed as a long
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*/
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public static boolean isHarshad(String s) {
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final Long n = Long.valueOf(s);
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if (s == null || s.isEmpty()) {
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throw new IllegalArgumentException("Input string cannot be null or empty");
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}
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final long n;
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try {
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n = Long.parseLong(s);
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} catch (NumberFormatException e) {
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throw new IllegalArgumentException("Input string must be a valid integer: " + s, e);
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}
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if (n <= 0) {
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return false;
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throw new IllegalArgumentException("Input must be a positive integer. Received: " + n);
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}
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int sumOfDigits = 0;
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for (char ch : s.toCharArray()) {
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sumOfDigits += ch - '0';
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if (Character.isDigit(ch)) {
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sumOfDigits += ch - '0';
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}
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}
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return n % sumOfDigits == 0;
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@@ -1,25 +1,135 @@
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package com.thealgorithms.maths;
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import static org.junit.jupiter.api.Assertions.assertFalse;
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import static org.junit.jupiter.api.Assertions.assertTrue;
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import org.junit.jupiter.api.Assertions;
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import org.junit.jupiter.api.Test;
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public class HarshadNumberTest {
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/**
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* Test class for {@link HarshadNumber}.
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* Tests various scenarios including positive cases, edge cases, and exception
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* handling.
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*/
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class HarshadNumberTest {
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@Test
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public void harshadNumber() {
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void testValidHarshadNumbers() {
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// Single digit Harshad numbers (all single digits except 0 are Harshad numbers)
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Assertions.assertTrue(HarshadNumber.isHarshad(1));
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Assertions.assertTrue(HarshadNumber.isHarshad(2));
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Assertions.assertTrue(HarshadNumber.isHarshad(3));
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Assertions.assertTrue(HarshadNumber.isHarshad(4));
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Assertions.assertTrue(HarshadNumber.isHarshad(5));
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Assertions.assertTrue(HarshadNumber.isHarshad(6));
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Assertions.assertTrue(HarshadNumber.isHarshad(7));
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Assertions.assertTrue(HarshadNumber.isHarshad(8));
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Assertions.assertTrue(HarshadNumber.isHarshad(9));
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assertTrue(HarshadNumber.isHarshad(18));
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assertFalse(HarshadNumber.isHarshad(-18));
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assertFalse(HarshadNumber.isHarshad(19));
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assertTrue(HarshadNumber.isHarshad(999999999));
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assertFalse(HarshadNumber.isHarshad(0));
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// Two digit Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad(10)); // 10 / (1 + 0) = 10
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Assertions.assertTrue(HarshadNumber.isHarshad(12)); // 12 / (1 + 2) = 4
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Assertions.assertTrue(HarshadNumber.isHarshad(18)); // 18 / (1 + 8) = 2
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Assertions.assertTrue(HarshadNumber.isHarshad(20)); // 20 / (2 + 0) = 10
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Assertions.assertTrue(HarshadNumber.isHarshad(21)); // 21 / (2 + 1) = 7
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assertTrue(HarshadNumber.isHarshad("18"));
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assertFalse(HarshadNumber.isHarshad("-18"));
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assertFalse(HarshadNumber.isHarshad("19"));
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assertTrue(HarshadNumber.isHarshad("999999999"));
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assertTrue(HarshadNumber.isHarshad("99999999999100"));
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// Three digit Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad(100)); // 100 / (1 + 0 + 0) = 100
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Assertions.assertTrue(HarshadNumber.isHarshad(102)); // 102 / (1 + 0 + 2) = 34
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Assertions.assertTrue(HarshadNumber.isHarshad(108)); // 108 / (1 + 0 + 8) = 12
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// Large Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad(1000)); // 1000 / (1 + 0 + 0 + 0) = 1000
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Assertions.assertTrue(HarshadNumber.isHarshad(1002)); // 1002 / (1 + 0 + 0 + 2) = 334
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Assertions.assertTrue(HarshadNumber.isHarshad(999999999)); // 999999999 / (9*9) = 12345679
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}
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@Test
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void testInvalidHarshadNumbers() {
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// Numbers that are not Harshad numbers
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Assertions.assertFalse(HarshadNumber.isHarshad(11)); // 11 / (1 + 1) = 5.5
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Assertions.assertFalse(HarshadNumber.isHarshad(13)); // 13 / (1 + 3) = 3.25
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Assertions.assertFalse(HarshadNumber.isHarshad(17)); // 17 / (1 + 7) = 2.125
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Assertions.assertFalse(HarshadNumber.isHarshad(19)); // 19 / (1 + 9) = 1.9
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Assertions.assertFalse(HarshadNumber.isHarshad(23)); // 23 / (2 + 3) = 4.6
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Assertions.assertFalse(HarshadNumber.isHarshad(101)); // 101 / (1 + 0 + 1) = 50.5
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}
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@Test
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void testZeroThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(0));
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}
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@Test
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void testNegativeNumbersThrowException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(-1));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(-18));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(-100));
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}
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@Test
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void testValidHarshadNumbersWithString() {
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// Single digit Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad("1"));
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Assertions.assertTrue(HarshadNumber.isHarshad("2"));
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Assertions.assertTrue(HarshadNumber.isHarshad("9"));
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// Two digit Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad("10"));
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Assertions.assertTrue(HarshadNumber.isHarshad("12"));
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Assertions.assertTrue(HarshadNumber.isHarshad("18"));
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// Large Harshad numbers
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Assertions.assertTrue(HarshadNumber.isHarshad("1000"));
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Assertions.assertTrue(HarshadNumber.isHarshad("999999999"));
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Assertions.assertTrue(HarshadNumber.isHarshad("99999999999100"));
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}
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@Test
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void testInvalidHarshadNumbersWithString() {
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// Numbers that are not Harshad numbers
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Assertions.assertFalse(HarshadNumber.isHarshad("11"));
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Assertions.assertFalse(HarshadNumber.isHarshad("13"));
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Assertions.assertFalse(HarshadNumber.isHarshad("19"));
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Assertions.assertFalse(HarshadNumber.isHarshad("23"));
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}
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@Test
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void testStringWithZeroThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("0"));
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}
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@Test
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void testStringWithNegativeNumbersThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("-1"));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("-18"));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("-100"));
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}
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@Test
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void testNullStringThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(null));
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}
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@Test
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void testEmptyStringThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(""));
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}
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@Test
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void testInvalidStringThrowsException() {
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("abc"));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("12.5"));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad("12a"));
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Assertions.assertThrows(IllegalArgumentException.class, () -> HarshadNumber.isHarshad(" 12 "));
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}
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@Test
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void testMaxLongValue() {
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// Test with a large number close to Long.MAX_VALUE
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long largeHarshadCandidate = 9223372036854775800L;
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// This specific number may or may not be Harshad, just testing it doesn't crash
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try {
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HarshadNumber.isHarshad(largeHarshadCandidate);
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} catch (Exception e) {
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Assertions.fail("Should not throw exception for valid large numbers");
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}
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}
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}
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