Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Improvements to Vampire Number #6110

Open
wants to merge 9 commits into
base: master
Choose a base branch
from
85 changes: 36 additions & 49 deletions src/main/java/com/thealgorithms/maths/VampireNumber.java
Original file line number Diff line number Diff line change
@@ -1,78 +1,65 @@
package com.thealgorithms.maths;

import java.util.ArrayList;
import java.util.Collections;

/**
* n number theory, a vampire number (or true vampire number) is a composite
* In number theory, a vampire number (or true vampire number) is a composite
* natural number with an even number of digits, that can be factored into two
* natural numbers each with half as many digits as the original number and not
* both with trailing zeroes, where the two factors contain precisely all the
* digits of the original number, in any order, counting multiplicity. The first
* vampire number is 1260 = 21 × 60. *
* vampire number is 1260 = 21 × 60.
*
* <p>
* link: https://en.wikipedia.org/wiki/Vampire_number *
*
* <p>
* @see <a href='https://en.wikipedia.org/wiki/Vampire_number'>Vampire number on Wikipedia</a>
*/
public final class VampireNumber {
// Forbid instantiation.
private VampireNumber() {
}

public static void main(String[] args) {
test(10, 1000);
}
static boolean isVampireNumber(int a, int b, boolean ignorePseudoVampireNumbers) {
// Pseudo vampire numbers don't have to be of n/2 digits. E.g., 126 = 6 x 21 is such a number.
if (ignorePseudoVampireNumbers && String.valueOf(a).length() != String.valueOf(b).length()) {
return false;
}

static void test(int startValue, int stopValue) {
int countofRes = 1;
StringBuilder res = new StringBuilder();
String mulDigits = splitIntoSortedDigits(a * b);
String factorDigits = splitIntoSortedDigits(a, b);

for (int i = startValue; i <= stopValue; i++) {
for (int j = i; j <= stopValue; j++) {
// System.out.println(i+ " "+ j);
if (isVampireNumber(i, j, true)) {
countofRes++;
res.append("").append(countofRes).append(": = ( ").append(i).append(",").append(j).append(" = ").append(i * j).append(")").append("\n");
}
}
}
System.out.println(res);
return mulDigits.equals(factorDigits);
}

static boolean isVampireNumber(int a, int b, boolean noPseudoVamireNumbers) {
// this is for pseudoVampireNumbers pseudovampire number need not be of length n/2 digits
// for example 126 = 6 x 21
if (noPseudoVamireNumbers) {
if (a * 10 <= b || b * 10 <= a) {
return false;
// Method to split a pair of numbers to digits and sort them in the ascending order.
static String splitIntoSortedDigits(int... nums) {
// Collect all digits in a list.
ArrayList<Integer> digits = new ArrayList<>();
for (int num : nums) {
while (num > 0) {
digits.add(num % 10);
num /= 10;
}
}

String mulDigits = splitIntoDigits(a * b, 0);
String faktorDigits = splitIntoDigits(a, b);

return mulDigits.equals(faktorDigits);
// Sort all digits and convert to String.
StringBuilder res = new StringBuilder();
digits.stream().sorted().forEach(res::append);
return res.toString();
}

// methode to Split the numbers to Digits
static String splitIntoDigits(int num, int num2) {
StringBuilder res = new StringBuilder();
static void printVampireNumbers(int startValue, int stopValue, boolean ignorePseudoVampireNumbers) {
Copy link
Member

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Please remove main and printVampireNumbers, we don't usually add visualization, only algorithms

int resultCounter = 0;

ArrayList<Integer> digits = new ArrayList<>();
while (num > 0) {
digits.add(num % 10);
num /= 10;
}
while (num2 > 0) {
digits.add(num2 % 10);
num2 /= 10;
}
Collections.sort(digits);
for (int i : digits) {
res.append(i);
for (int i = startValue; i <= stopValue; i++) {
for (int j = i; j <= stopValue; j++) {
if (isVampireNumber(i, j, ignorePseudoVampireNumbers)) {
resultCounter++;
System.out.printf("%d: %d = %d * %d%n", resultCounter, i * j, i, j);
}
}
}
}

return res.toString();
public static void main(String[] args) {
printVampireNumbers(10, 1000, true);
}
}
32 changes: 32 additions & 0 deletions src/test/java/com/thealgorithms/maths/VampireNumberTest.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,32 @@
package com.thealgorithms.maths;

import org.junit.jupiter.api.Assertions;
import org.junit.jupiter.api.Test;

class VampireNumberTest {
@Test
void areVampireNumbers() {
Assertions.assertTrue(VampireNumber.isVampireNumber(15, 93, true));
Assertions.assertTrue(VampireNumber.isVampireNumber(135, 801, true));
Assertions.assertTrue(VampireNumber.isVampireNumber(201, 600, true));
}

@Test
void arePseudoVampireNumbers() {
Assertions.assertTrue(VampireNumber.isVampireNumber(150, 93, false));
Assertions.assertTrue(VampireNumber.isVampireNumber(546, 84, false));
Assertions.assertTrue(VampireNumber.isVampireNumber(641, 65, false));
}

@Test
void areNotVampireNumbers() {
Assertions.assertFalse(VampireNumber.isVampireNumber(51, 39, false));
Assertions.assertFalse(VampireNumber.isVampireNumber(51, 39, true));
}

@Test
void testSplitIntoSortedDigits() {
Assertions.assertEquals("123", VampireNumber.splitIntoSortedDigits(321));
Assertions.assertEquals("02234", VampireNumber.splitIntoSortedDigits(20, 324));
}
}
Loading